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CUDA C PROGRAMMING GUIDE

PG-02829-001_v7.5 | September 2015

Design Guide

CHANGES FROM VERSION 7.0
‣

Updated C/C++ Language Support to:
‣
‣

‣
‣
‣
‣
‣
‣

Added new section C++11 Language Features,
Clarified that values of const-qualified variables with builtin floating-point types
cannot be used directly in device code when the Microsoft compiler is used as
the host compiler,
‣ Documented the extended lambda feature,
‣ Documented that typeid, std::type_info, and dynamic_cast are only supported
in host code,
‣ Documented the restrictions on trigraphs and digraphs,
‣ Clarified the conditions under which layout mismatch can occur on Windows.
Updated Table 12 to mention support of half-precision floating-point operations on
devices of compute capabilities 5.3.
Updated Table 2 with throughput for half-precision floating-point instructions.
Added compute capability 5.3 to Table 13.
Added the maximum number of resident grids per device to Table 13.
Clarified the definition of __threadfence() in Memory Fence Functions.
Mentioned in Atomic Functions that atomic functions do not act as memory fences.

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TABLE OF CONTENTS
Chapter 1. Introduction.........................................................................................1
1.1. From Graphics Processing to General Purpose Parallel Computing............................... 1
1.2. CUDA®: A General-Purpose Parallel Computing Platform and Programming Model.............4
1.3. A Scalable Programming Model.........................................................................5
1.4. Document Structure...................................................................................... 7
Chapter 2. Programming Model............................................................................... 9
2.1. Kernels...................................................................................................... 9
2.2. Thread Hierarchy........................................................................................ 10
2.3. Memory Hierarchy....................................................................................... 12
2.4. Heterogeneous Programming.......................................................................... 14
2.5. Compute Capability..................................................................................... 16
Chapter 3. Programming Interface..........................................................................17
3.1. Compilation with NVCC................................................................................ 17
3.1.1. Compilation Workflow............................................................................. 18
3.1.1.1. Offline Compilation.......................................................................... 18
3.1.1.2. Just-in-Time Compilation....................................................................18
3.1.2. Binary Compatibility............................................................................... 18
3.1.3. PTX Compatibility.................................................................................. 19
3.1.4. Application Compatibility.........................................................................19
3.1.5. C/C++ Compatibility............................................................................... 20
3.1.6. 64-Bit Compatibility............................................................................... 20
3.2. CUDA C Runtime.........................................................................................20
3.2.1. Initialization.........................................................................................21
3.2.2. Device Memory..................................................................................... 21
3.2.3. Shared Memory..................................................................................... 24
3.2.4. Page-Locked Host Memory........................................................................29
3.2.4.1. Portable Memory..............................................................................30
3.2.4.2. Write-Combining Memory....................................................................30
3.2.4.3. Mapped Memory...............................................................................30
3.2.5. Asynchronous Concurrent Execution............................................................ 31
3.2.5.1. Concurrent Execution between Host and Device........................................ 32
3.2.5.2. Concurrent Kernel Execution............................................................... 32
3.2.5.3. Overlap of Data Transfer and Kernel Execution......................................... 32
3.2.5.4. Concurrent Data Transfers.................................................................. 33
3.2.5.5. Streams......................................................................................... 33
3.2.5.6. Events...........................................................................................37
3.2.5.7. Synchronous Calls.............................................................................37
3.2.6. Multi-Device System............................................................................... 38
3.2.6.1. Device Enumeration.......................................................................... 38
3.2.6.2. Device Selection.............................................................................. 38

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3.2.6.3. Stream and Event Behavior................................................................. 38
3.2.6.4. Peer-to-Peer Memory Access................................................................39
3.2.6.5. Peer-to-Peer Memory Copy..................................................................39
3.2.7. Unified Virtual Address Space................................................................... 40
3.2.8. Interprocess Communication..................................................................... 41
3.2.9. Error Checking......................................................................................41
3.2.10. Call Stack.......................................................................................... 42
3.2.11. Texture and Surface Memory................................................................... 42
3.2.11.1. Texture Memory............................................................................. 42
3.2.11.2. Surface Memory............................................................................. 52
3.2.11.3. CUDA Arrays..................................................................................56
3.2.11.4. Read/Write Coherency..................................................................... 56
3.2.12. Graphics Interoperability........................................................................ 56
3.2.12.1. OpenGL Interoperability................................................................... 57
3.2.12.2. Direct3D Interoperability...................................................................59
3.2.12.3. SLI Interoperability..........................................................................65
3.3. Versioning and Compatibility.......................................................................... 66
3.4. Compute Modes..........................................................................................67
3.5. Mode Switches........................................................................................... 68
3.6. Tesla Compute Cluster Mode for Windows.......................................................... 68
Chapter 4. Hardware Implementation......................................................................69
4.1. SIMT Architecture....................................................................................... 69
4.2. Hardware Multithreading...............................................................................71
Chapter 5. Performance Guidelines........................................................................ 72
5.1. Overall Performance Optimization Strategies...................................................... 72
5.2. Maximize Utilization.................................................................................... 72
5.2.1. Application Level...................................................................................72
5.2.2. Device Level........................................................................................ 73
5.2.3. Multiprocessor Level...............................................................................73
5.2.3.1. Occupancy Calculator........................................................................ 75
5.3. Maximize Memory Throughput........................................................................ 77
5.3.1. Data Transfer between Host and Device....................................................... 78
5.3.2. Device Memory Accesses..........................................................................79
5.4. Maximize Instruction Throughput..................................................................... 83
5.4.1. Arithmetic Instructions............................................................................83
5.4.2. Control Flow Instructions......................................................................... 87
5.4.3. Synchronization Instruction.......................................................................88
Appendix A. CUDA-Enabled GPUs........................................................................... 89
Appendix B. C Language Extensions........................................................................ 90
B.1. Function Type Qualifiers............................................................................... 90
B.1.1. __device__.......................................................................................... 90
B.1.2. __global__...........................................................................................90
B.1.3. __host__............................................................................................. 90

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B.1.4. __noinline__ and __forceinline__............................................................... 91
B.2. Variable Type Qualifiers................................................................................91
B.2.1. __device__.......................................................................................... 91
B.2.2. __constant__........................................................................................92
B.2.3. __shared__.......................................................................................... 92
B.2.4. __managed__....................................................................................... 93
B.2.5. __restrict__......................................................................................... 93
B.3. Built-in Vector Types................................................................................... 94
B.3.1. char, short, int, long, longlong, float, double................................................ 94
B.3.2. dim3.................................................................................................. 95
B.4. Built-in Variables........................................................................................ 96
B.4.1. gridDim.............................................................................................. 96
B.4.2. blockIdx..............................................................................................96
B.4.3. blockDim.............................................................................................96
B.4.4. threadIdx............................................................................................ 96
B.4.5. warpSize............................................................................................. 96
B.5. Memory Fence Functions...............................................................................96
B.6. Synchronization Functions............................................................................. 99
B.7. Mathematical Functions...............................................................................100
B.8. Texture Functions...................................................................................... 100
B.8.1. Texture Object API............................................................................... 101
B.8.1.1. tex1Dfetch()..................................................................................101
B.8.1.2. tex1D()........................................................................................ 101
B.8.1.3. tex1DLod()....................................................................................101
B.8.1.4. tex1DGrad().................................................................................. 101
B.8.1.5. tex2D()........................................................................................ 101
B.8.1.6. tex2DLod()....................................................................................101
B.8.1.7. tex2DGrad().................................................................................. 102
B.8.1.8. tex3D()........................................................................................ 102
B.8.1.9. tex3DLod()....................................................................................102
B.8.1.10. tex3DGrad().................................................................................102
B.8.1.11. tex1DLayered()............................................................................. 102
B.8.1.12. tex1DLayeredLod().........................................................................102
B.8.1.13. tex1DLayeredGrad()....................................................................... 103
B.8.1.14. tex2DLayered()............................................................................. 103
B.8.1.15. tex2DLayeredLod().........................................................................103
B.8.1.16. tex2DLayeredGrad()....................................................................... 103
B.8.1.17. texCubemap().............................................................................. 103
B.8.1.18. texCubemapLod().......................................................................... 103
B.8.1.19. texCubemapLayered().....................................................................104
B.8.1.20. texCubemapLayeredLod()................................................................ 104
B.8.1.21. tex2Dgather()...............................................................................104
B.8.2. Texture Reference API........................................................................... 105

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B.8.2.1. tex1Dfetch()..................................................................................105
B.8.2.2. tex1D()........................................................................................ 105
B.8.2.3. tex1DLod()....................................................................................106
B.8.2.4. tex1DGrad().................................................................................. 106
B.8.2.5. tex2D()........................................................................................ 106
B.8.2.6. tex2DLod()....................................................................................106
B.8.2.7. tex2DGrad().................................................................................. 106
B.8.2.8. tex3D()........................................................................................ 107
B.8.2.9. tex3DLod()....................................................................................107
B.8.2.10. tex3DGrad().................................................................................107
B.8.2.11. tex1DLayered()............................................................................. 107
B.8.2.12. tex1DLayeredLod().........................................................................108
B.8.2.13. tex1DLayeredGrad()....................................................................... 108
B.8.2.14. tex2DLayered()............................................................................. 108
B.8.2.15. tex2DLayeredLod().........................................................................108
B.8.2.16. tex2DLayeredGrad()....................................................................... 109
B.8.2.17. texCubemap().............................................................................. 109
B.8.2.18. texCubemapLod().......................................................................... 109
B.8.2.19. texCubemapLayered().....................................................................109
B.8.2.20. texCubemapLayeredLod()................................................................ 109
B.8.2.21. tex2Dgather()...............................................................................110
B.9. Surface Functions...................................................................................... 110
B.9.1. Surface Object API............................................................................... 110
B.9.1.1. surf1Dread().................................................................................. 110
B.9.1.2. surf1Dwrite................................................................................... 110
B.9.1.3. surf2Dread().................................................................................. 111
B.9.1.4. surf2Dwrite()................................................................................. 111
B.9.1.5. surf3Dread().................................................................................. 111
B.9.1.6. surf3Dwrite()................................................................................. 111
B.9.1.7. surf1DLayeredread()........................................................................ 112
B.9.1.8. surf1DLayeredwrite()....................................................................... 112
B.9.1.9. surf2DLayeredread()........................................................................ 112
B.9.1.10. surf2DLayeredwrite()...................................................................... 112
B.9.1.11. surfCubemapread()........................................................................ 113
B.9.1.12. surfCubemapwrite()....................................................................... 113
B.9.1.13. surfCubemapLayeredread()...............................................................113
B.9.1.14. surfCubemapLayeredwrite()..............................................................113
B.9.2. Surface Reference API........................................................................... 114
B.9.2.1. surf1Dread().................................................................................. 114
B.9.2.2. surf1Dwrite................................................................................... 114
B.9.2.3. surf2Dread().................................................................................. 114
B.9.2.4. surf2Dwrite()................................................................................. 114
B.9.2.5. surf3Dread().................................................................................. 115

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B.9.2.6. surf3Dwrite()................................................................................. 115
B.9.2.7. surf1DLayeredread()........................................................................ 115
B.9.2.8. surf1DLayeredwrite()....................................................................... 115
B.9.2.9. surf2DLayeredread()........................................................................ 116
B.9.2.10. surf2DLayeredwrite()...................................................................... 116
B.9.2.11. surfCubemapread()........................................................................ 116
B.9.2.12. surfCubemapwrite()....................................................................... 116
B.9.2.13. surfCubemapLayeredread()...............................................................117
B.9.2.14. surfCubemapLayeredwrite()..............................................................117
B.10. Read-Only Data Cache Load Function.............................................................117
B.11. Time Function.........................................................................................117
B.12. Atomic Functions..................................................................................... 118
B.12.1. Arithmetic Functions........................................................................... 118
B.12.1.1. atomicAdd().................................................................................118
B.12.1.2. atomicSub()................................................................................. 119
B.12.1.3. atomicExch()................................................................................119
B.12.1.4. atomicMin()................................................................................. 119
B.12.1.5. atomicMax().................................................................................119
B.12.1.6. atomicInc()..................................................................................120
B.12.1.7. atomicDec().................................................................................120
B.12.1.8. atomicCAS().................................................................................120
B.12.2. Bitwise Functions............................................................................... 120
B.12.2.1. atomicAnd().................................................................................120
B.12.2.2. atomicOr().................................................................................. 121
B.12.2.3. atomicXor()................................................................................. 121
B.13. Warp Vote Functions................................................................................. 121
B.14. Warp Shuffle Functions..............................................................................122
B.14.1. Synopsis........................................................................................... 122
B.14.2. Description....................................................................................... 122
B.14.3. Return Value..................................................................................... 123
B.14.4. Notes.............................................................................................. 124
B.14.5. Examples..........................................................................................124
B.14.5.1. Broadcast of a single value across a warp............................................ 124
B.14.5.2. Inclusive plus-scan across sub-partitions of 8 threads............................... 125
B.14.5.3. Reduction across a warp................................................................. 125
B.15. Profiler Counter Function........................................................................... 126
B.16. Assertion............................................................................................... 126
B.17. Formatted Output.................................................................................... 127
B.17.1. Format Specifiers............................................................................... 128
B.17.2. Limitations....................................................................................... 128
B.17.3. Associated Host-Side API.......................................................................129
B.17.4. Examples..........................................................................................130
B.18. Dynamic Global Memory Allocation and Operations............................................ 131

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B.18.1. Heap Memory Allocation....................................................................... 131
B.18.2. Interoperability with Host Memory API......................................................132
B.18.3. Examples..........................................................................................132
B.18.3.1. Per Thread Allocation.....................................................................132
B.18.3.2. Per Thread Block Allocation............................................................. 133
B.18.3.3. Allocation Persisting Between Kernel Launches...................................... 134
B.19. Execution Configuration............................................................................. 135
B.20. Launch Bounds........................................................................................ 135
B.21. #pragma unroll........................................................................................138
B.22. SIMD Video Instructions..............................................................................138
Appendix C. CUDA Dynamic Parallelism.................................................................. 140
C.1. Introduction.............................................................................................140
C.1.1. Overview........................................................................................... 140
C.1.2. Glossary............................................................................................ 140
C.2. Execution Environment and Memory Model....................................................... 141
C.2.1. Execution Environment.......................................................................... 141
C.2.1.1. Parent and Child Grids..................................................................... 141
C.2.1.2. Scope of CUDA Primitives..................................................................142
C.2.1.3. Synchronization..............................................................................142
C.2.1.4. Streams and Events.........................................................................142
C.2.1.5. Ordering and Concurrency.................................................................143
C.2.1.6. Device Management........................................................................ 143
C.2.2. Memory Model.................................................................................... 143
C.2.2.1. Coherence and Consistency............................................................... 144
C.3. Programming Interface................................................................................146
C.3.1. CUDA C/C++ Reference..........................................................................146
C.3.1.1. Device-Side Kernel Launch................................................................ 146
C.3.1.2. Streams....................................................................................... 147
C.3.1.3. Events......................................................................................... 148
C.3.1.4. Synchronization..............................................................................148
C.3.1.5. Device Management........................................................................ 148
C.3.1.6. Memory Declarations....................................................................... 149
C.3.1.7. API Errors and Launch Failures........................................................... 150
C.3.1.8. API Reference................................................................................151
C.3.2. Device-side Launch from PTX.................................................................. 152
C.3.2.1. Kernel Launch APIs......................................................................... 152
C.3.2.2. Parameter Buffer Layout.................................................................. 154
C.3.3. Toolkit Support for Dynamic Parallelism......................................................154
C.3.3.1. Including Device Runtime API in CUDA Code........................................... 154
C.3.3.2. Compiling and Linking......................................................................155
C.4. Programming Guidelines.............................................................................. 155
C.4.1. Basics............................................................................................... 155
C.4.2. Performance....................................................................................... 156

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C.4.2.1. Synchronization..............................................................................156
C.4.2.2. Dynamic-parallelism-enabled Kernel Overhead........................................ 156
C.4.3. Implementation Restrictions and Limitations................................................ 157
C.4.3.1. Runtime....................................................................................... 157
Appendix D. Mathematical Functions..................................................................... 160
D.1. Standard Functions.................................................................................... 160
D.2. Intrinsic Functions..................................................................................... 168
Appendix E. C/C++ Language Support.................................................................... 171
E.1. C++11 Language Features............................................................................ 171
E.2. Restrictions..............................................................................................174
E.2.1. Host Compiler Extensions....................................................................... 174
E.2.2. Preprocessor Symbols............................................................................ 174
E.2.2.1. __CUDA_ARCH__.............................................................................174
E.2.3. Qualifiers...........................................................................................176
E.2.3.1. Device Memory Qualifiers..................................................................176
E.2.3.2. __managed__ Qualifier.....................................................................177
E.2.3.3. Volatile Qualifier............................................................................ 178
E.2.4. Pointers.............................................................................................179
E.2.5. Operators.......................................................................................... 179
E.2.5.1. Assignment Operator....................................................................... 179
E.2.5.2. Address Operator............................................................................179
E.2.6. Run Time Type Information (RTTI).............................................................179
E.2.7. Exception Handling............................................................................... 179
E.2.8. Standard Library.................................................................................. 179
E.2.9. Functions........................................................................................... 180
E.2.9.1. External Linkage.............................................................................180
E.2.9.2. Compiler generated functions............................................................ 180
E.2.9.3. Function Parameters........................................................................180
E.2.9.4. Static Variables within Function.......................................................... 181
E.2.9.5. Function Pointers............................................................................181
E.2.9.6. Function Recursion.......................................................................... 181
E.2.10. Classes............................................................................................ 181
E.2.10.1. Data Members.............................................................................. 181
E.2.10.2. Function Members......................................................................... 181
E.2.10.3. Virtual Functions........................................................................... 181
E.2.10.4. Virtual Base Classes....................................................................... 181
E.2.10.5. Anonymous Unions......................................................................... 182
E.2.10.6. Windows-Specific...........................................................................182
E.2.11. Templates.........................................................................................182
E.2.12. Trigraphs and Digraphs......................................................................... 183
E.2.13. Const-qualified variables.......................................................................183
E.2.14. C++11 Features.................................................................................. 183
E.2.14.1. Lambda Expressions....................................................................... 184

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E.2.14.2. std::initializer_list......................................................................... 185
E.2.14.3. Rvalue references..........................................................................185
E.2.14.4. Constexpr functions and function templates..........................................185
E.2.14.5. Constexpr variables........................................................................186
E.2.14.6. Inline namespaces......................................................................... 186
E.2.14.7. thread_local................................................................................ 188
E.2.14.8. __global__ functions and function templates......................................... 188
E.2.14.9. __device__/__constant__/__shared__ variables......................................189
E.3. Polymorphic Function Wrappers..................................................................... 189
E.4. Experimental Feature: Device Lambdas........................................................... 190
E.4.1. Restrictions........................................................................................ 191
E.4.2. Additional Notes.................................................................................. 196
E.5. Code Samples...........................................................................................197
E.5.1. Data Aggregation Class.......................................................................... 197
E.5.2. Derived Class...................................................................................... 197
E.5.3. Class Template.................................................................................... 198
E.5.4. Function Template................................................................................198
E.5.5. Functor Class...................................................................................... 199
Appendix F. Texture Fetching.............................................................................. 200
F.1. Nearest-Point Sampling................................................................................ 200
F.2. Linear Filtering......................................................................................... 201
F.3. Table Lookup............................................................................................ 202
Appendix G. Compute Capabilities........................................................................ 204
G.1. Features and Technical Specifications............................................................. 204
G.2. Floating-Point Standard...............................................................................207
G.3. Compute Capability 2.x.............................................................................. 208
G.3.1. Architecture....................................................................................... 208
G.3.2. Global Memory....................................................................................210
G.3.3. Shared Memory................................................................................... 211
G.3.4. Constant Memory.................................................................................212
G.4. Compute Capability 3.x.............................................................................. 212
G.4.1. Architecture....................................................................................... 212
G.4.2. Global Memory....................................................................................214
G.4.3. Shared Memory................................................................................... 215
G.5. Compute Capability 5.x.............................................................................. 216
G.5.1. Architecture....................................................................................... 216
G.5.2. Global Memory....................................................................................217
G.5.3. Shared Memory................................................................................... 217
Appendix H. Driver API...................................................................................... 221
H.1. Context.................................................................................................. 224
H.2. Module................................................................................................... 225
H.3. Kernel Execution.......................................................................................226
H.4. Interoperability between Runtime and Driver APIs.............................................. 228

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Appendix I. CUDA Environment Variables................................................................229
Appendix J. Unified Memory Programming.............................................................. 232
J.1. Unified Memory Introduction.........................................................................232
J.1.1. Simplifying GPU Programming.................................................................. 233
J.1.2. Data Migration and Coherency................................................................. 234
J.1.3. Multi-GPU Support................................................................................ 235
J.1.4. System Requirements............................................................................ 235
J.2. Programming Model.................................................................................... 235
J.2.1. Managed Memory Opt In.........................................................................235
J.2.1.1. Explicit Allocation Using cudaMallocManaged()........................................ 236
J.2.1.2. Global-Scope Managed Variables Using __managed__................................. 237
J.2.2. Coherency and Concurrency.................................................................... 237
J.2.2.1. GPU Exclusive Access To Managed Memory............................................. 237
J.2.2.2. Explicit Synchronization and Logical GPU Activity..................................... 238
J.2.2.3. Managing Data Visibility and Concurrent CPU + GPU Access......................... 240
J.2.2.4. Stream Association Examples..............................................................241
J.2.2.5. Stream Attach With Multithreaded Host Programs.....................................241
J.2.2.6. Advanced Topic: Modular Programs and Data Access Constraints....................242
J.2.2.7. Memcpy()/Memset() Behavior With Managed Memory.................................243
J.2.3. Language Integration.............................................................................243
J.2.3.1. Host Program Errors with __managed__ Variables..................................... 244
J.2.4. Querying Unified Memory Support............................................................. 245
J.2.4.1. Device Properties............................................................................245
J.2.4.2. Pointer Attributes........................................................................... 245
J.2.5. Advanced Topics.................................................................................. 245
J.2.5.1. Managed Memory with Multi-GPU Programs.............................................245
J.2.5.2. Using fork() with Managed Memory...................................................... 246

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LIST OF FIGURES
Figure 1 Floating-Point Operations per Second for the CPU and GPU ...................................2
Figure 2 Memory Bandwidth for the CPU and GPU .........................................................3
Figure 3 The GPU Devotes More Transistors to Data Processing ......................................... 3
Figure 4 GPU Computing Applications ........................................................................ 5
Figure 5 Automatic Scalability ................................................................................. 7
Figure 6 Grid of Thread Blocks ...............................................................................11
Figure 7 Memory Hierarchy ................................................................................... 13
Figure 8 Heterogeneous Programming ...................................................................... 15
Figure 9 Matrix Multiplication without Shared Memory .................................................. 26
Figure 10 Matrix Multiplication with Shared Memory .....................................................29
Figure 11 The Driver API Is Backward but Not Forward Compatible ................................... 67
Figure 12 Parent-Child Launch Nesting .................................................................... 142
Figure 13 Nearest-Point Sampling Filtering Mode ........................................................201
Figure 14 Linear Filtering Mode ............................................................................ 202
Figure 15 One-Dimensional Table Lookup Using Linear Filtering ...................................... 203
Figure 16 Examples of Global Memory Accesses ......................................................... 215
Figure 17 Strided Shared Memory Accesses ...............................................................219
Figure 18 Irregular Shared Memory Accesses ............................................................. 220
Figure 19 Library Context Management ................................................................... 225

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LIST OF TABLES
Table 1 Cubemap Fetch ........................................................................................51
Table 2 Throughput of Native Arithmetic Instructions ................................................... 83
Table 3 Alignment Requirements in Device Code ......................................................... 95
Table 4 New Device-only Launch Implementation Functions .......................................... 151
Table 5 Supported API Functions ........................................................................... 151
Table 6 Single-Precision Mathematical Standard Library Functions with Maximum ULP Error .... 160
Table 7 Double-Precision Mathematical Standard Library Functions with Maximum ULP Error... 164
Table 8 Functions Affected by -use_fast_math .......................................................... 168
Table 9 Single-Precision Floating-Point Intrinsic Functions ............................................. 169
Table 10 Double-Precision Floating-Point Intrinsic Functions .......................................... 170
Table 11 C++11 Language Features ........................................................................ 171
Table 12 Feature Support per Compute Capability ......................................................204
Table 13 Technical Specifications per Compute Capability ............................................ 205
Table 14 Objects Available in the CUDA Driver API ..................................................... 221
Table 15 CUDA Environment Variables ..................................................................... 229

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Chapter 1.
INTRODUCTION

1.1. From Graphics Processing to General Purpose
Parallel Computing
Driven by the insatiable market demand for realtime, high-definition 3D graphics,
the programmable Graphic Processor Unit or GPU has evolved into a highly parallel,
multithreaded, manycore processor with tremendous computational horsepower and
very high memory bandwidth, as illustrated by Figure 1 and Figure 2.

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Introduction

Figure 1 Floating-Point Operations per Second for the CPU and GPU

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Introduction

Figure 2 Memory Bandwidth for the CPU and GPU
The reason behind the discrepancy in floating-point capability between the CPU and the
GPU is that the GPU is specialized for compute-intensive, highly parallel computation
- exactly what graphics rendering is about - and therefore designed such that more
transistors are devoted to data processing rather than data caching and flow control, as
schematically illustrated by Figure 3.
Cont r ol

ALU

ALU

ALU

ALU

Cache

DRAM

DRAM

CPU

GPU

Figure 3 The GPU Devotes More Transistors to Data Processing

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More specifically, the GPU is especially well-suited to address problems that can be
expressed as data-parallel computations - the same program is executed on many data
elements in parallel - with high arithmetic intensity - the ratio of arithmetic operations
to memory operations. Because the same program is executed for each data element,
there is a lower requirement for sophisticated flow control, and because it is executed on
many data elements and has high arithmetic intensity, the memory access latency can be
hidden with calculations instead of big data caches.
Data-parallel processing maps data elements to parallel processing threads. Many
applications that process large data sets can use a data-parallel programming model
to speed up the computations. In 3D rendering, large sets of pixels and vertices are
mapped to parallel threads. Similarly, image and media processing applications such as
post-processing of rendered images, video encoding and decoding, image scaling, stereo
vision, and pattern recognition can map image blocks and pixels to parallel processing
threads. In fact, many algorithms outside the field of image rendering and processing
are accelerated by data-parallel processing, from general signal processing or physics
simulation to computational finance or computational biology.

1.2. CUDA®: A General-Purpose Parallel Computing
Platform and Programming Model
In November 2006, NVIDIA introduced CUDA®, a general purpose parallel computing
platform and programming model that leverages the parallel compute engine in
NVIDIA GPUs to solve many complex computational problems in a more efficient way
than on a CPU.
CUDA comes with a software environment that allows developers to use C as a highlevel programming language. As illustrated by Figure 4, other languages, application
programming interfaces, or directives-based approaches are supported, such as
FORTRAN, DirectCompute, OpenACC.

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Figure 4 GPU Computing Applications

CUDA is designed to support various languages and application programming interfaces.

1.3. A Scalable Programming Model
The advent of multicore CPUs and manycore GPUs means that mainstream processor
chips are now parallel systems. Furthermore, their parallelism continues to scale
with Moore's law. The challenge is to develop application software that transparently
scales its parallelism to leverage the increasing number of processor cores, much as
3D graphics applications transparently scale their parallelism to manycore GPUs with
widely varying numbers of cores.
The CUDA parallel programming model is designed to overcome this challenge while
maintaining a low learning curve for programmers familiar with standard programming
languages such as C.
At its core are three key abstractions - a hierarchy of thread groups, shared memories,
and barrier synchronization - that are simply exposed to the programmer as a minimal
set of language extensions.

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These abstractions provide fine-grained data parallelism and thread parallelism,
nested within coarse-grained data parallelism and task parallelism. They guide the
programmer to partition the problem into coarse sub-problems that can be solved
independently in parallel by blocks of threads, and each sub-problem into finer pieces
that can be solved cooperatively in parallel by all threads within the block.
This decomposition preserves language expressivity by allowing threads to cooperate
when solving each sub-problem, and at the same time enables automatic scalability.
Indeed, each block of threads can be scheduled on any of the available multiprocessors
within a GPU, in any order, concurrently or sequentially, so that a compiled CUDA
program can execute on any number of multiprocessors as illustrated by Figure 5, and
only the runtime system needs to know the physical multiprocessor count.
This scalable programming model allows the GPU architecture to span a wide market
range by simply scaling the number of multiprocessors and memory partitions: from
the high-performance enthusiast GeForce GPUs and professional Quadro and Tesla
computing products to a variety of inexpensive, mainstream GeForce GPUs (see CUDAEnabled GPUs for a list of all CUDA-enabled GPUs).

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Mu lt it hreaded CUDA Pr ogr am
Block 0

Block 1

Block 2

Block 3

Block 4

Block 5
Block 5

Block 6
Block 6

Block 7

GPU w it h 2 SMs

GPU w it h 4 SMs

SM 0

SM 1

SM 0

SM 1

SM 2

SM 3

Block 0

Block 1

Block 0

Block 1

Block 2

Block 3

Block 2

Block 3

Block 4

Block 5

Block 6

Block 7

Block 4

Block 5

Block 6

Block 7

A GPU is built around an array of Streaming Multiprocessors (SMs) (see Hardware
Implementation for more details). A multithreaded program is partitioned into blocks
of threads that execute independently from each other, so that a GPU with more
multiprocessors will automatically execute the program in less time than a GPU with
fewer multiprocessors.

Figure 5 Automatic Scalability

1.4. Document Structure
This document is organized into the following chapters:
‣
‣
‣
‣
‣
‣
‣

Chapter Introduction is a general introduction to CUDA.
Chapter Programming Model outlines the CUDA programming model.
Chapter Programming Interface describes the programming interface.
Chapter Hardware Implementation describes the hardware implementation.
Chapter Performance Guidelines gives some guidance on how to achieve maximum
performance.
Appendix CUDA-Enabled GPUs lists all CUDA-enabled devices.
Appendix C Language Extensions is a detailed description of all extensions to the C
language.

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‣
‣
‣
‣
‣
‣

Appendix Mathematical Functions lists the mathematical functions supported in
CUDA.
Appendix C/C++ Language Support lists the C++ features supported in device code.
Appendix Texture Fetching gives more details on texture fetching
Appendix Compute Capabilities gives the technical specifications of various devices,
as well as more architectural details.
Appendix Driver API introduces the low-level driver API.
Appendix CUDA Environment Variables lists all the CUDA environment variables.

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Chapter 2.
PROGRAMMING MODEL

This chapter introduces the main concepts behind the CUDA programming model by
outlining how they are exposed in C. An extensive description of CUDA C is given in
Programming Interface.
Full code for the vector addition example used in this chapter and the next can be found
in the vectorAdd CUDA sample.

2.1. Kernels
CUDA C extends C by allowing the programmer to define C functions, called kernels,
that, when called, are executed N times in parallel by N different CUDA threads, as
opposed to only once like regular C functions.
A kernel is defined using the __global__ declaration specifier and the number of
CUDA threads that execute that kernel for a given kernel call is specified using a new
<<<...>>> execution configuration syntax (see C Language Extensions). Each thread
that executes the kernel is given a unique thread ID that is accessible within the kernel
through the built-in threadIdx variable.
As an illustration, the following sample code adds two vectors A and B of size N and
stores the result into vector C:
// Kernel definition
__global__ void VecAdd(float* A, float* B, float* C)
{
int i = threadIdx.x;
C[i] = A[i] + B[i];
}
int main()
{
...
// Kernel invocation with N threads
VecAdd<<<1, N>>>(A, B, C);
...
}

Here, each of the N threads that execute VecAdd() performs one pair-wise addition.

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2.2. Thread Hierarchy
For convenience, threadIdx is a 3-component vector, so that threads can be identified
using a one-dimensional, two-dimensional, or three-dimensional thread index, forming
a one-dimensional, two-dimensional, or three-dimensional block of threads, called a
thread block. This provides a natural way to invoke computation across the elements in a
domain such as a vector, matrix, or volume.
The index of a thread and its thread ID relate to each other in a straightforward way:
For a one-dimensional block, they are the same; for a two-dimensional block of size (Dx,
Dy),the thread ID of a thread of index (x, y) is (x + y Dx); for a three-dimensional block of
size (Dx, Dy, Dz), the thread ID of a thread of index (x, y, z) is (x + y Dx + z Dx Dy).
As an example, the following code adds two matrices A and B of size NxN and stores the
result into matrix C:
// Kernel definition
__global__ void MatAdd(float A[N][N], float B[N][N],
float C[N][N])
{
int i = threadIdx.x;
int j = threadIdx.y;
C[i][j] = A[i][j] + B[i][j];
}
int main()
{
...
// Kernel invocation with one block of N * N * 1 threads
int numBlocks = 1;
dim3 threadsPerBlock(N, N);
MatAdd<<>>(A, B, C);
...
}

There is a limit to the number of threads per block, since all threads of a block are
expected to reside on the same processor core and must share the limited memory
resources of that core. On current GPUs, a thread block may contain up to 1024 threads.
However, a kernel can be executed by multiple equally-shaped thread blocks, so that the
total number of threads is equal to the number of threads per block times the number of
blocks.
Blocks are organized into a one-dimensional, two-dimensional, or three-dimensional
grid of thread blocks as illustrated by Figure 6. The number of thread blocks in a grid is
usually dictated by the size of the data being processed or the number of processors in
the system, which it can greatly exceed.

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Gr id
Block ( 0, 0)

Block ( 1, 0)

Block ( 2, 0)

Block ( 0, 1)

Block ( 1, 1)

Block ( 2, 1)

Block (1, 1)
Thr ead ( 0, 0) Thr ead ( 1, 0)

Thr ead ( 2, 0) Thr ead ( 3, 0)

Thr ead ( 0, 1) Thr ead ( 1, 1)

Thr ead ( 2, 1) Thr ead ( 3, 1)

Thr ead ( 0, 2)

Thr ead ( 1, 2) Thr ead ( 2, 2) Thr ead ( 3, 2)

Figure 6 Grid of Thread Blocks
The number of threads per block and the number of blocks per grid specified in the
<<<...>>> syntax can be of type int or dim3. Two-dimensional blocks or grids can be
specified as in the example above.
Each block within the grid can be identified by a one-dimensional, two-dimensional,
or three-dimensional index accessible within the kernel through the built-in blockIdx
variable. The dimension of the thread block is accessible within the kernel through the
built-in blockDim variable.

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Extending the previous MatAdd() example to handle multiple blocks, the code becomes
as follows.
// Kernel definition
__global__ void MatAdd(float A[N][N], float B[N][N],
float C[N][N])
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
if (i < N && j < N)
C[i][j] = A[i][j] + B[i][j];
}
int main()
{
...
// Kernel invocation
dim3 threadsPerBlock(16, 16);
dim3 numBlocks(N / threadsPerBlock.x, N / threadsPerBlock.y);
MatAdd<<>>(A, B, C);
...
}

A thread block size of 16x16 (256 threads), although arbitrary in this case, is a common
choice. The grid is created with enough blocks to have one thread per matrix element
as before. For simplicity, this example assumes that the number of threads per grid in
each dimension is evenly divisible by the number of threads per block in that dimension,
although that need not be the case.
Thread blocks are required to execute independently: It must be possible to execute
them in any order, in parallel or in series. This independence requirement allows thread
blocks to be scheduled in any order across any number of cores as illustrated by Figure
5, enabling programmers to write code that scales with the number of cores.
Threads within a block can cooperate by sharing data through some shared memory and
by synchronizing their execution to coordinate memory accesses. More precisely, one
can specify synchronization points in the kernel by calling the __syncthreads()
intrinsic function; __syncthreads() acts as a barrier at which all threads in the block
must wait before any is allowed to proceed. Shared Memory gives an example of using
shared memory.
For efficient cooperation, the shared memory is expected to be a low-latency memory
near each processor core (much like an L1 cache) and __syncthreads() is expected to
be lightweight.

2.3. Memory Hierarchy
CUDA threads may access data from multiple memory spaces during their execution
as illustrated by Figure 7. Each thread has private local memory. Each thread block has
shared memory visible to all threads of the block and with the same lifetime as the block.
All threads have access to the same global memory.
There are also two additional read-only memory spaces accessible by all threads: the
constant and texture memory spaces. The global, constant, and texture memory spaces
are optimized for different memory usages (see Device Memory Accesses). Texture

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Programming Model

memory also offers different addressing modes, as well as data filtering, for some
specific data formats (see Texture and Surface Memory).
The global, constant, and texture memory spaces are persistent across kernel launches
by the same application.
Thr ead
Per -t hread local
m em or y

Thread Block
Per -block shared
m em or y

Gr id 0
Block ( 0, 0)

Block ( 1, 0)

Block ( 2, 0)

Block ( 0, 1)

Block ( 1, 1)

Block ( 2, 1)

Gr id 1
Global m em or y
Block ( 0, 0)

Block ( 1, 0)

Block ( 0, 1)

Block ( 1, 1)

Block ( 0, 2)

Block ( 1, 2)

Figure 7 Memory Hierarchy

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2.4. Heterogeneous Programming
As illustrated by Figure 8, the CUDA programming model assumes that the CUDA
threads execute on a physically separate device that operates as a coprocessor to the host
running the C program. This is the case, for example, when the kernels execute on a
GPU and the rest of the C program executes on a CPU.
The CUDA programming model also assumes that both the host and the device
maintain their own separate memory spaces in DRAM, referred to as host memory and
device memory, respectively. Therefore, a program manages the global, constant, and
texture memory spaces visible to kernels through calls to the CUDA runtime (described
in Programming Interface). This includes device memory allocation and deallocation as
well as data transfer between host and device memory.

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Programming Model

C Program
Sequential
Execution
Serial code

Host

Parallel kernel

Devi ce

Kernel0 < < < > > > ()

Serial code

Parallel kernel
Kernel1 < < < > > > ()

Gr id 0
Block ( 0, 0)

Block ( 1, 0)

Block ( 2, 0)

Block ( 0, 1)

Block ( 1, 1)

Block ( 2, 1)

Host

Devi ce
Gr id 1
Block ( 0, 0)

Block ( 1, 0)

Block ( 0, 1)

Block ( 1, 1)

Block ( 0, 2)

Block ( 1, 2)

Serial code executes on the host while parallel code executes on the device.

Figure 8 Heterogeneous Programming

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2.5. Compute Capability
The compute capability of a device is represented by a version number, also sometimes
called its "SM version". This version number identifies the features supported by the
GPU hardware and is used by applications at runtime to determine which hardware
features and/or instructions are available on the present GPU.
The compute capability comprises a major revision number X and a minor revision
number Y and is denoted by X.Y.
Devices with the same major revision number are of the same core architecture. The
major revision number is 5 for devices based on the Maxwell architecture, 3 for devices
based on the Kepler architecture, 2 for devices based on the Fermi architecture, and 1 for
devices based on the Tesla architecture.
The minor revision number corresponds to an incremental improvement to the core
architecture, possibly including new features.
CUDA-Enabled GPUs lists of all CUDA-enabled devices along with their compute
capability. Compute Capabilities gives the technical specifications of each compute
capability.
The compute capability version of a particular GPU should not be confused with the
CUDA version (e.g., CUDA 5.5, CUDA 6, CUDA 6.5), which is the version of the CUDA
software platform. The CUDA platform is used by application developers to create
applications that run on many generations of GPU architectures, including future
GPU architectures yet to be invented. While new versions of the CUDA platform often
add native support for a new GPU architecture by supporting the compute capability
version of that architecture, new versions of the CUDA platform typically also include
software features that are independent of hardware generation.

The Tesla architecture is no longer supported starting with CUDA 7.0.

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Chapter 3.
PROGRAMMING INTERFACE

CUDA C provides a simple path for users familiar with the C programming language to
easily write programs for execution by the device.
It consists of a minimal set of extensions to the C language and a runtime library.
The core language extensions have been introduced in Programming Model. They allow
programmers to define a kernel as a C function and use some new syntax to specify the
grid and block dimension each time the function is called. A complete description of all
extensions can be found in C Language Extensions. Any source file that contains some of
these extensions must be compiled with nvcc as outlined in Compilation with NVCC.
The runtime is introduced in Compilation Workflow. It provides C functions that
execute on the host to allocate and deallocate device memory, transfer data between host
memory and device memory, manage systems with multiple devices, etc. A complete
description of the runtime can be found in the CUDA reference manual.
The runtime is built on top of a lower-level C API, the CUDA driver API, which is
also accessible by the application. The driver API provides an additional level of
control by exposing lower-level concepts such as CUDA contexts - the analogue of host
processes for the device - and CUDA modules - the analogue of dynamically loaded
libraries for the device. Most applications do not use the driver API as they do not
need this additional level of control and when using the runtime, context and module
management are implicit, resulting in more concise code. The driver API is introduced
in Driver API and fully described in the reference manual.

3.1. Compilation with NVCC
Kernels can be written using the CUDA instruction set architecture, called PTX, which
is described in the PTX reference manual. It is however usually more effective to use a
high-level programming language such as C. In both cases, kernels must be compiled
into binary code by nvcc to execute on the device.
nvcc is a compiler driver that simplifies the process of compiling C or PTX code: It

provides simple and familiar command line options and executes them by invoking the
collection of tools that implement the different compilation stages. This section gives

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an overview of nvcc workflow and command options. A complete description can be
found in the nvcc user manual.

3.1.1. Compilation Workflow
3.1.1.1. Offline Compilation
Source files compiled with nvcc can include a mix of host code (i.e., code that executes
on the host) and device code (i.e., code that executes on the device). nvcc's basic
workflow consists in separating device code from host code and then:
‣
‣

compiling the device code into an assembly form (PTX code) and/or binary form
(cubin object),
and modifying the host code by replacing the <<<...>>> syntax introduced in
Kernels (and described in more details in Execution Configuration) by the necessary
CUDA C runtime function calls to load and launch each compiled kernel from the
PTX code and/or cubin object.

The modified host code is output either as C code that is left to be compiled using
another tool or as object code directly by letting nvcc invoke the host compiler during
the last compilation stage.
Applications can then:
‣
‣

Either link to the compiled host code (this is the most common case),
Or ignore the modified host code (if any) and use the CUDA driver API (see Driver
API) to load and execute the PTX code or cubin object.

3.1.1.2. Just-in-Time Compilation
Any PTX code loaded by an application at runtime is compiled further to binary code
by the device driver. This is called just-in-time compilation. Just-in-time compilation
increases application load time, but allows the application to benefit from any new
compiler improvements coming with each new device driver. It is also the only way
for applications to run on devices that did not exist at the time the application was
compiled, as detailed in Application Compatibility.
When the device driver just-in-time compiles some PTX code for some application, it
automatically caches a copy of the generated binary code in order to avoid repeating
the compilation in subsequent invocations of the application. The cache - referred to as
compute cache - is automatically invalidated when the device driver is upgraded, so that
applications can benefit from the improvements in the new just-in-time compiler built
into the device driver.
Environment variables are available to control just-in-time compilation as described in
CUDA Environment Variables

3.1.2. Binary Compatibility
Binary code is architecture-specific. A cubin object is generated using the compiler
option -code that specifies the targeted architecture: For example, compiling with
-code=sm_35 produces binary code for devices of compute capability 3.5. Binary
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compatibility is guaranteed from one minor revision to the next one, but not from one
minor revision to the previous one or across major revisions. In other words, a cubin
object generated for compute capability X.y will only execute on devices of compute
capability X.z where z≥y.

3.1.3. PTX Compatibility
Some PTX instructions are only supported on devices of higher compute capabilities.
For example, warp shuffle instructions are only supported on devices of compute
capability 3.0 and above. The -arch compiler option specifies the compute capability
that is assumed when compiling C to PTX code. So, code that contains warp shuffle, for
example, must be compiled with -arch=sm_30 (or higher).
PTX code produced for some specific compute capability can always be compiled to
binary code of greater or equal compute capability.

3.1.4. Application Compatibility
To execute code on devices of specific compute capability, an application must load
binary or PTX code that is compatible with this compute capability as described in
Binary Compatibility and PTX Compatibility. In particular, to be able to execute code
on future architectures with higher compute capability (for which no binary code can be
generated yet), an application must load PTX code that will be just-in-time compiled for
these devices (see Just-in-Time Compilation).
Which PTX and binary code gets embedded in a CUDA C application is controlled by
the -arch and -code compiler options or the -gencode compiler option as detailed in
the nvcc user manual. For example,
nvcc x.cu
-gencode arch=compute_20,code=sm_20
-gencode arch=compute_30,code=sm_30
-gencode arch=compute_35,code=\'compute_35,sm_35\'

embeds binary code compatible with compute capability 2.0 and 3.0 (first and second
-gencode options) and PTX and binary code compatible with compute capability 3.5
(third -gencode option).
Host code is generated to automatically select at runtime the most appropriate code to
load and execute, which, in the above example, will be:
‣
‣
‣
‣

2.0 binary code for devices with compute capability 2.0 and 2.1,
3.0 binary code for devices with compute capability 3.0,
3.5 binary code for devices with compute capability 3.5 and higher 3.x,
binary code obtained by compiling 3.5 PTX code for devices with compute
capabilities 3.5 and higher.

x.cu can have an optimized code path that uses warp shuffle operations, for example,

which are only supported in devices of compute capability 3.0 and higher. The
__CUDA_ARCH__ macro can be used to differentiate various code paths based on
compute capability. It is only defined for device code. When compiling with arch=compute_35 for example, __CUDA_ARCH__ is equal to 350.

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Applications using the driver API must compile code to separate files and explicitly load
and execute the most appropriate file at runtime.
The nvcc user manual lists various shorthand for the -arch, -code, and -gencode
compiler options. For example, -arch=sm_35 is a shorthand for -arch=compute_35 code=compute_35,sm_35 (which is the same as -gencode arch=compute_35,code=
\'compute_35,sm_35\').

3.1.5. C/C++ Compatibility
The front end of the compiler processes CUDA source files according to C++ syntax
rules. Full C++ is supported for the host code. However, only a subset of C++ is fully
supported for the device code as described in C/C++ Language Support.

3.1.6. 64-Bit Compatibility
The 64-bit version of nvcc compiles device code in 64-bit mode (i.e., pointers are 64-bit).
Device code compiled in 64-bit mode is only supported with host code compiled in 64bit mode.
Similarly, the 32-bit version of nvcc compiles device code in 32-bit mode and device
code compiled in 32-bit mode is only supported with host code compiled in 32-bit mode.
The 32-bit version of nvcc can compile device code in 64-bit mode also using the -m64
compiler option.
The 64-bit version of nvcc can compile device code in 32-bit mode also using the -m32
compiler option.

3.2. CUDA C Runtime
The runtime is implemented in the cudart library, which is linked to the application,
either statically via cudart.lib or libcudart.a, or dynamically via cudart.dll or
libcudart.so. Applications that require cudart.dll and/or cudart.so for dynamic
linking typically include them as part of the application installation package.
All its entry points are prefixed with cuda.
As mentioned in Heterogeneous Programming, the CUDA programming model
assumes a system composed of a host and a device, each with their own separate
memory. Device Memory gives an overview of the runtime functions used to manage
device memory.
Shared Memory illustrates the use of shared memory, introduced in Thread Hierarchy,
to maximize performance.
Page-Locked Host Memory introduces page-locked host memory that is required to
overlap kernel execution with data transfers between host and device memory.
Asynchronous Concurrent Execution describes the concepts and API used to enable
asynchronous concurrent execution at various levels in the system.

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Multi-Device System shows how the programming model extends to a system with
multiple devices attached to the same host.
Error Checking describes how to properly check the errors generated by the runtime.
Call Stack mentions the runtime functions used to manage the CUDA C call stack.
Texture and Surface Memory presents the texture and surface memory spaces that
provide another way to access device memory; they also expose a subset of the GPU
texturing hardware.
Graphics Interoperability introduces the various functions the runtime provides to
interoperate with the two main graphics APIs, OpenGL and Direct3D.

3.2.1. Initialization
There is no explicit initialization function for the runtime; it initializes the first time a
runtime function is called (more specifically any function other than functions from the
device and version management sections of the reference manual). One needs to keep
this in mind when timing runtime function calls and when interpreting the error code
from the first call into the runtime.
During initialization, the runtime creates a CUDA context for each device in the system
(see Context for more details on CUDA contexts). This context is the primary context for
this device and it is shared among all the host threads of the application. As part of this
context creation, the device code is just-in-time compiled if necessary (see Just-in-Time
Compilation) and loaded into device memory. This all happens under the hood and the
runtime does not expose the primary context to the application.
When a host thread calls cudaDeviceReset(), this destroys the primary context of the
device the host thread currently operates on (i.e., the current device as defined in Device
Selection). The next runtime function call made by any host thread that has this device
as current will create a new primary context for this device.

3.2.2. Device Memory
As mentioned in Heterogeneous Programming, the CUDA programming model
assumes a system composed of a host and a device, each with their own separate
memory. Kernels operate out of device memory, so the runtime provides functions to
allocate, deallocate, and copy device memory, as well as transfer data between host
memory and device memory.
Device memory can be allocated either as linear memory or as CUDA arrays.
CUDA arrays are opaque memory layouts optimized for texture fetching. They are
described in Texture and Surface Memory.
Linear memory exists on the device in a 40-bit address space, so separately allocated
entities can reference one another via pointers, for example, in a binary tree.
Linear memory is typically allocated using cudaMalloc() and freed using cudaFree()
and data transfer between host memory and device memory are typically done using

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cudaMemcpy(). In the vector addition code sample of Kernels, the vectors need to be

copied from host memory to device memory:

// Device code
__global__ void VecAdd(float* A, float* B, float* C, int N)
{
int i = blockDim.x * blockIdx.x + threadIdx.x;
if (i < N)
C[i] = A[i] + B[i];
}
// Host code
int main()
{
int N = ...;
size_t size = N * sizeof(float);
// Allocate input vectors h_A and h_B in host memory
float* h_A = (float*)malloc(size);
float* h_B = (float*)malloc(size);
// Initialize input vectors
...
// Allocate vectors in device memory
float* d_A;
cudaMalloc(&d_A, size);
float* d_B;
cudaMalloc(&d_B, size);
float* d_C;
cudaMalloc(&d_C, size);
// Copy vectors from host memory to device memory
cudaMemcpy(d_A, h_A, size, cudaMemcpyHostToDevice);
cudaMemcpy(d_B, h_B, size, cudaMemcpyHostToDevice);
// Invoke kernel
int threadsPerBlock = 256;
int blocksPerGrid =
(N + threadsPerBlock - 1) / threadsPerBlock;
VecAdd<<>>(d_A, d_B, d_C, N);
// Copy result from device memory to host memory
// h_C contains the result in host memory
cudaMemcpy(h_C, d_C, size, cudaMemcpyDeviceToHost);
// Free device memory
cudaFree(d_A);
cudaFree(d_B);
cudaFree(d_C);

}

// Free host memory
...

Linear memory can also be allocated through cudaMallocPitch() and
cudaMalloc3D(). These functions are recommended for allocations of 2D or 3D
arrays as it makes sure that the allocation is appropriately padded to meet the
alignment requirements described in Device Memory Accesses, therefore ensuring best
performance when accessing the row addresses or performing copies between 2D arrays
and other regions of device memory (using the cudaMemcpy2D() and cudaMemcpy3D()
functions). The returned pitch (or stride) must be used to access array elements. The

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following code sample allocates a width x height 2D array of floating-point values and
shows how to loop over the array elements in device code:
// Host code
int width = 64, height = 64;
float* devPtr;
size_t pitch;
cudaMallocPitch(&devPtr, &pitch,
width * sizeof(float), height);
MyKernel<<<100, 512>>>(devPtr, pitch, width, height);
// Device code
__global__ void MyKernel(float* devPtr,
size_t pitch, int width, int height)
{
for (int r = 0; r < height; ++r) {
float* row = (float*)((char*)devPtr + r * pitch);
for (int c = 0; c < width; ++c) {
float element = row[c];
}
}
}

The following code sample allocates a width x height x depth 3D array of floatingpoint values and shows how to loop over the array elements in device code:
// Host code
int width = 64, height = 64, depth = 64;
cudaExtent extent = make_cudaExtent(width * sizeof(float),
height, depth);
cudaPitchedPtr devPitchedPtr;
cudaMalloc3D(&devPitchedPtr, extent);
MyKernel<<<100, 512>>>(devPitchedPtr, width, height, depth);
// Device code
__global__ void MyKernel(cudaPitchedPtr devPitchedPtr,
int width, int height, int depth)
{
char* devPtr = devPitchedPtr.ptr;
size_t pitch = devPitchedPtr.pitch;
size_t slicePitch = pitch * height;
for (int z = 0; z < depth; ++z) {
char* slice = devPtr + z * slicePitch;
for (int y = 0; y < height; ++y) {
float* row = (float*)(slice + y * pitch);
for (int x = 0; x < width; ++x) {
float element = row[x];
}
}
}
}

The reference manual lists all the various functions used to copy memory between
linear memory allocated with cudaMalloc(), linear memory allocated with
cudaMallocPitch() or cudaMalloc3D(), CUDA arrays, and memory allocated for
variables declared in global or constant memory space.

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The following code sample illustrates various ways of accessing global variables via the
runtime API:
__constant__ float constData[256];
float data[256];
cudaMemcpyToSymbol(constData, data, sizeof(data));
cudaMemcpyFromSymbol(data, constData, sizeof(data));
__device__ float devData;
float value = 3.14f;
cudaMemcpyToSymbol(devData, &value, sizeof(float));
__device__ float* devPointer;
float* ptr;
cudaMalloc(&ptr, 256 * sizeof(float));
cudaMemcpyToSymbol(devPointer, &ptr, sizeof(ptr));

cudaGetSymbolAddress() is used to retrieve the address pointing to the memory

allocated for a variable declared in global memory space. The size of the allocated
memory is obtained through cudaGetSymbolSize().

3.2.3. Shared Memory
As detailed in Variable Type Qualifiers shared memory is allocated using the
__shared__ qualifier.
Shared memory is expected to be much faster than global memory as mentioned in
Thread Hierarchy and detailed in Shared Memory. Any opportunity to replace global
memory accesses by shared memory accesses should therefore be exploited as illustrated
by the following matrix multiplication example.
The following code sample is a straightforward implementation of matrix multiplication
that does not take advantage of shared memory. Each thread reads one row of A and one

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column of B and computes the corresponding element of C as illustrated in Figure 9. A is
therefore read B.width times from global memory and B is read A.height times.
// Matrices are stored in row-major order:
// M(row, col) = *(M.elements + row * M.width + col)
typedef struct {
int width;
int height;
float* elements;
} Matrix;
// Thread block size
#define BLOCK_SIZE 16
// Forward declaration of the matrix multiplication kernel
__global__ void MatMulKernel(const Matrix, const Matrix, Matrix);
// Matrix multiplication - Host code
// Matrix dimensions are assumed to be multiples of BLOCK_SIZE
void MatMul(const Matrix A, const Matrix B, Matrix C)
{
// Load A and B to device memory
Matrix d_A;
d_A.width = A.width; d_A.height = A.height;
size_t size = A.width * A.height * sizeof(float);
cudaMalloc(&d_A.elements, size);
cudaMemcpy(d_A.elements, A.elements, size,
cudaMemcpyHostToDevice);
Matrix d_B;
d_B.width = B.width; d_B.height = B.height;
size = B.width * B.height * sizeof(float);
cudaMalloc(&d_B.elements, size);
cudaMemcpy(d_B.elements, B.elements, size,
cudaMemcpyHostToDevice);
// Allocate C in device memory
Matrix d_C;
d_C.width = C.width; d_C.height = C.height;
size = C.width * C.height * sizeof(float);
cudaMalloc(&d_C.elements, size);
// Invoke kernel
dim3 dimBlock(BLOCK_SIZE, BLOCK_SIZE);
dim3 dimGrid(B.width / dimBlock.x, A.height / dimBlock.y);
MatMulKernel<<>>(d_A, d_B, d_C);
// Read C from device memory
cudaMemcpy(C.elements, Cd.elements, size,
cudaMemcpyDeviceToHost);

}

// Free device memory
cudaFree(d_A.elements);
cudaFree(d_B.elements);
cudaFree(d_C.elements);

// Matrix multiplication kernel called by MatMul()
__global__ void MatMulKernel(Matrix A, Matrix B, Matrix C)
{
// Each thread computes one element of C
// by accumulating results into Cvalue
float Cvalue = 0;
int row = blockIdx.y * blockDim.y + threadIdx.y;
int col = blockIdx.x * blockDim.x + threadIdx.x;
for (int e = 0; e < A.width; ++e)
Cvalue += A.elements[row * A.width + e]
* B.elements[e * B.width + col];
C.elements[row * C.width + col] = Cvalue;
}
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Programming Interface

col

0

B. height

B

0

A

A.height

C

r ow

A.w idt h

B. w idt h

A.height -1

Figure 9 Matrix Multiplication without Shared Memory
The following code sample is an implementation of matrix multiplication that does take
advantage of shared memory. In this implementation, each thread block is responsible
for computing one square sub-matrix Csub of C and each thread within the block is
responsible for computing one element of Csub. As illustrated in Figure 10, Csub is equal
to the product of two rectangular matrices: the sub-matrix of A of dimension (A.width,
block_size) that has the same row indices as Csub, and the sub-matrix of B of dimension
(block_size, A.width )that has the same column indices as Csub. In order to fit into the
device's resources, these two rectangular matrices are divided into as many square
matrices of dimension block_size as necessary and Csub is computed as the sum of the
products of these square matrices. Each of these products is performed by first loading
the two corresponding square matrices from global memory to shared memory with one
thread loading one element of each matrix, and then by having each thread compute one
element of the product. Each thread accumulates the result of each of these products into
a register and once done writes the result to global memory.

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By blocking the computation this way, we take advantage of fast shared memory and
save a lot of global memory bandwidth since A is only read (B.width / block_size) times
from global memory and B is read (A.height / block_size) times.
The Matrix type from the previous code sample is augmented with a stride field, so that
sub-matrices can be efficiently represented with the same type. __device__ functions are
used to get and set elements and build any sub-matrix from a matrix.
// Matrices are stored in row-major order:
// M(row, col) = *(M.elements + row * M.stride + col)
typedef struct {
int width;
int height;
int stride;
float* elements;
} Matrix;
// Get a matrix element
__device__ float GetElement(const Matrix A, int row, int col)
{
return A.elements[row * A.stride + col];
}
// Set a matrix element
__device__ void SetElement(Matrix A, int row, int col,
float value)
{
A.elements[row * A.stride + col] = value;
}
// Get the BLOCK_SIZExBLOCK_SIZE sub-matrix Asub of A that is
// located col sub-matrices to the right and row sub-matrices down
// from the upper-left corner of A
__device__ Matrix GetSubMatrix(Matrix A, int row, int col)
{
Matrix Asub;
Asub.width
= BLOCK_SIZE;
Asub.height
= BLOCK_SIZE;
Asub.stride
= A.stride;
Asub.elements = &A.elements[A.stride * BLOCK_SIZE * row
+ BLOCK_SIZE * col];
return Asub;
}
// Thread block size
#define BLOCK_SIZE 16
// Forward declaration of the matrix multiplication kernel
__global__ void MatMulKernel(const Matrix, const Matrix, Matrix);
// Matrix multiplication - Host code
// Matrix dimensions are assumed to be multiples of BLOCK_SIZE
void MatMul(const Matrix A, const Matrix B, Matrix C)
{
// Load A and B to device memory
Matrix d_A;
d_A.width = d_A.stride = A.width; d_A.height = A.height;
size_t size = A.width * A.height * sizeof(float);
cudaMalloc(&d_A.elements, size);
cudaMemcpy(d_A.elements, A.elements, size,
cudaMemcpyHostToDevice);
Matrix d_B;
d_B.width = d_B.stride = B.width; d_B.height = B.height;
size = B.width * B.height * sizeof(float);

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cudaMalloc(&d_B.elements, size);
cudaMemcpy(d_B.elements, B.elements, size,
cudaMemcpyHostToDevice);
// Allocate C in device memory
Matrix d_C;
d_C.width = d_C.stride = C.width; d_C.height = C.height;
size = C.width * C.height * sizeof(float);
cudaMalloc(&d_C.elements, size);
// Invoke kernel
dim3 dimBlock(BLOCK_SIZE, BLOCK_SIZE);
dim3 dimGrid(B.width / dimBlock.x, A.height / dimBlock.y);
MatMulKernel<<>>(d_A, d_B, d_C);
// Read C from device memory
cudaMemcpy(C.elements, d_C.elements, size,
cudaMemcpyDeviceToHost);

}

// Free device memory
cudaFree(d_A.elements);
cudaFree(d_B.elements);
cudaFree(d_C.elements);

// Matrix multiplication kernel called by MatMul()
__global__ void MatMulKernel(Matrix A, Matrix B, Matrix C)
{
// Block row and column
int blockRow = blockIdx.y;
int blockCol = blockIdx.x;
// Each thread block computes one sub-matrix Csub of C
Matrix Csub = GetSubMatrix(C, blockRow, blockCol);
// Each thread computes one element of Csub
// by accumulating results into Cvalue
float Cvalue = 0;
// Thread row and column within Csub
int row = threadIdx.y;
int col = threadIdx.x;
// Loop over all the sub-matrices of A and B that are
// required to compute Csub
// Multiply each pair of sub-matrices together
// and accumulate the results
for (int m = 0; m < (A.width / BLOCK_SIZE); ++m) {
// Get sub-matrix Asub of A
Matrix Asub = GetSubMatrix(A, blockRow, m);
// Get sub-matrix Bsub of B
Matrix Bsub = GetSubMatrix(B, m, blockCol);
// Shared memory used to store Asub and Bsub respectively
__shared__ float As[BLOCK_SIZE][BLOCK_SIZE];
__shared__ float Bs[BLOCK_SIZE][BLOCK_SIZE];
// Load Asub and Bsub from device memory to shared memory
// Each thread loads one element of each sub-matrix
As[row][col] = GetElement(Asub, row, col);
Bs[row][col] = GetElement(Bsub, row, col);
// Synchronize to make sure the sub-matrices are loaded
// before starting the computation
__syncthreads();

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// Multiply Asub and Bsub together
for (int e = 0; e < BLOCK_SIZE; ++e)
Cvalue += As[row][e] * Bs[e][col];
// Synchronize to make sure that the preceding
// computation is done before loading two new
// sub-matrices of A and B in the next iteration
__syncthreads();

}

}

// Write Csub to device memory
// Each thread writes one element
SetElement(Csub, row, col, Cvalue);

col

0
0

block Row

Csub
r ow
BLOCK_SI ZE-1

BLOCK_ SI ZE

BLOCK_ SI ZE

A.w idt h

A.height

C

BLOCK _SI ZE

A

BLOCK_SI ZE-1

BLOCK _SI ZE

B

B. height

BLOCK _SI ZE

block Col

BLOCK_SI ZE
B. w idt h

Figure 10 Matrix Multiplication with Shared Memory

3.2.4. Page-Locked Host Memory
The runtime provides functions to allow the use of page-locked (also known as pinned)
host memory (as opposed to regular pageable host memory allocated by malloc()):
‣

cudaHostAlloc() and cudaFreeHost() allocate and free page-locked host

memory;

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‣

cudaHostRegister() page-locks a range of memory allocated by malloc() (see

reference manual for limitations).

Using page-locked host memory has several benefits:
‣
‣
‣

Copies between page-locked host memory and device memory can be performed
concurrently with kernel execution for some devices as mentioned in Asynchronous
Concurrent Execution.
On some devices, page-locked host memory can be mapped into the address space
of the device, eliminating the need to copy it to or from device memory as detailed
in Mapped Memory.
On systems with a front-side bus, bandwidth between host memory and device
memory is higher if host memory is allocated as page-locked and even higher if
in addition it is allocated as write-combining as described in Write-Combining
Memory.

Page-locked host memory is a scarce resource however, so allocations in page-locked
memory will start failing long before allocations in pageable memory. In addition, by
reducing the amount of physical memory available to the operating system for paging,
consuming too much page-locked memory reduces overall system performance.
The simple zero-copy CUDA sample comes with a detailed document on the pagelocked memory APIs.

3.2.4.1. Portable Memory
A block of page-locked memory can be used in conjunction with any device in the
system (see Multi-Device System for more details on multi-device systems), but by
default, the benefits of using page-locked memory described above are only available in
conjunction with the device that was current when the block was allocated (and with all
devices sharing the same unified address space, if any, as described in Unified Virtual
Address Space). To make these advantages available to all devices, the block needs to be
allocated by passing the flag cudaHostAllocPortable to cudaHostAlloc() or pagelocked by passing the flag cudaHostRegisterPortable to cudaHostRegister().

3.2.4.2. Write-Combining Memory
By default page-locked host memory is allocated as cacheable. It can optionally be
allocated as write-combining instead by passing flag cudaHostAllocWriteCombined
to cudaHostAlloc(). Write-combining memory frees up the host's L1 and L2 cache
resources, making more cache available to the rest of the application. In addition, writecombining memory is not snooped during transfers across the PCI Express bus, which
can improve transfer performance by up to 40%.
Reading from write-combining memory from the host is prohibitively slow, so writecombining memory should in general be used for memory that the host only writes to.

3.2.4.3. Mapped Memory
A block of page-locked host memory can also be mapped into the address space
of the device by passing flag cudaHostAllocMapped to cudaHostAlloc() or by
passing flag cudaHostRegisterMapped to cudaHostRegister(). Such a block

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has therefore in general two addresses: one in host memory that is returned by
cudaHostAlloc() or malloc(), and one in device memory that can be retrieved
using cudaHostGetDevicePointer() and then used to access the block from within a
kernel. The only exception is for pointers allocated with cudaHostAlloc() and when a
unified address space is used for the host and the device as mentioned in Unified Virtual
Address Space.
Accessing host memory directly from within a kernel has several advantages:
‣
‣

There is no need to allocate a block in device memory and copy data between this
block and the block in host memory; data transfers are implicitly performed as
needed by the kernel;
There is no need to use streams (see Concurrent Data Transfers) to overlap data
transfers with kernel execution; the kernel-originated data transfers automatically
overlap with kernel execution.

Since mapped page-locked memory is shared between host and device however,
the application must synchronize memory accesses using streams or events (see
Asynchronous Concurrent Execution) to avoid any potential read-after-write, writeafter-read, or write-after-write hazards.
To be able to retrieve the device pointer to any mapped page-locked memory, pagelocked memory mapping must be enabled by calling cudaSetDeviceFlags() with
the cudaDeviceMapHost flag before any other CUDA call is performed. Otherwise,
cudaHostGetDevicePointer() will return an error.

cudaHostGetDevicePointer() also returns an error if the device does not support

mapped page-locked host memory. Applications may query this capability by checking
the canMapHostMemory device property (see Device Enumeration), which is equal to 1
for devices that support mapped page-locked host memory.
Note that atomic functions (see Atomic Functions) operating on mapped page-locked
memory are not atomic from the point of view of the host or other devices.

3.2.5. Asynchronous Concurrent Execution
CUDA exposes the following operations as independent tasks that can operate
concurrently with one another:
‣
‣
‣
‣
‣
‣

Computation on the host;
Computation on the device;
Memory transfers from the host to the device;
Memory transfers from the device to the host;
Memory transfers within the memory of a given device;
Memory transfers among devices.

The level of concurrency achieved between these operations will depend on the feature
set and compute capability of the device as described below.

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3.2.5.1. Concurrent Execution between Host and Device
Concurrent host execution is facilitated through asynchronous library functions that
return control to the host thread before the device completes the requested task. Using
asynchronous calls, many device operations can be queued up together to be executed
by the CUDA driver when appropriate device resources are available. This relieves the
host thread of much of the responsibility to manage the device, leaving it free for other
tasks. The following device operations are asynchronous with respect to the host:
‣
‣
‣
‣
‣

Kernel launches;
Memory copies within a single device's memory;
Memory copies from host to device of a memory block of 64 KB or less;
Memory copies performed by functions that are suffixed with Async;
Memory set function calls.

Programmers can globally disable asynchronicity of kernel launches for all CUDA
applications running on a system by setting the CUDA_LAUNCH_BLOCKING environment
variable to 1. This feature is provided for debugging purposes only and should not be
used as a way to make production software run reliably.
Kernel launches are synchronous if hardware counters are collected via a profiler
(Nsight, Visual Profiler) unless concurrent kernel profiling is enabled. Async memory
copies will also be synchronous if they involve host memory that is not page-locked.

3.2.5.2. Concurrent Kernel Execution
Some devices of compute capability 2.x and higher can execute multiple
kernels concurrently. Applications may query this capability by checking the
concurrentKernels device property (see Device Enumeration), which is equal to 1 for
devices that support it.
The maximum number of kernel launches that a device can execute concurrently
depends on its compute capability and is listed in Table 13.
A kernel from one CUDA context cannot execute concurrently with a kernel from
another CUDA context.
Kernels that use many textures or a large amount of local memory are less likely to
execute concurrently with other kernels.

3.2.5.3. Overlap of Data Transfer and Kernel Execution
Some devices can perform an asynchronous memory copy to or from the GPU
concurrently with kernel execution. Applications may query this capability by checking
the asyncEngineCount device property (see Device Enumeration), which is greater
than zero for devices that support it. If host memory is involved in the copy, it must be
page-locked.
It is also possible to perform an intra-device copy simultaneously with kernel execution
(on devices that support the concurrentKernels device property) and/or with copies
to or from the device (for devices that support the asyncEngineCount property). Intra-

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device copies are initiated using the standard memory copy functions with destination
and source addresses residing on the same device.

3.2.5.4. Concurrent Data Transfers
Some devices of compute capability 2.x and higher can overlap copies to and from the
device. Applications may query this capability by checking the asyncEngineCount
device property (see Device Enumeration), which is equal to 2 for devices that support
it. In order to be overlapped, any host memory involved in the transfers must be pagelocked.

3.2.5.5. Streams
Applications manage the concurrent operations described above through streams. A
stream is a sequence of commands (possibly issued by different host threads) that
execute in order. Different streams, on the other hand, may execute their commands out
of order with respect to one another or concurrently; this behavior is not guaranteed and
should therefore not be relied upon for correctness (e.g., inter-kernel communication is
undefined).

3.2.5.5.1. Creation and Destruction
A stream is defined by creating a stream object and specifying it as the stream parameter
to a sequence of kernel launches and host <-> device memory copies. The following
code sample creates two streams and allocates an array hostPtr of float in pagelocked memory.
cudaStream_t stream[2];
for (int i = 0; i < 2; ++i)
cudaStreamCreate(&stream[i]);
float* hostPtr;
cudaMallocHost(&hostPtr, 2 * size);

Each of these streams is defined by the following code sample as a sequence of one
memory copy from host to device, one kernel launch, and one memory copy from device
to host:
for (int i = 0; i < 2; ++i) {
cudaMemcpyAsync(inputDevPtr + i * size, hostPtr + i * size,
size, cudaMemcpyHostToDevice, stream[i]);
MyKernel <<<100, 512, 0, stream[i]>>>
(outputDevPtr + i * size, inputDevPtr + i * size, size);
cudaMemcpyAsync(hostPtr + i * size, outputDevPtr + i * size,
size, cudaMemcpyDeviceToHost, stream[i]);
}

Each stream copies its portion of input array hostPtr to array inputDevPtr in device
memory, processes inputDevPtr on the device by calling MyKernel(), and copies
the result outputDevPtr back to the same portion of hostPtr. Overlapping Behavior
describes how the streams overlap in this example depending on the capability of the
device. Note that hostPtr must point to page-locked host memory for any overlap to
occur.
Streams are released by calling cudaStreamDestroy().
for (int i = 0; i < 2; ++i)
cudaStreamDestroy(stream[i]);

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cudaStreamDestroy() waits for all preceding commands in the given stream to

complete before destroying the stream and returning control to the host thread.

3.2.5.5.2. Default Stream
Kernel launches and host <-> device memory copies that do not specify any stream
parameter, or equivalently that set the stream parameter to zero, are issued to the default
stream. They are therefore executed in order.
For code that is compiled using the --default-stream per-thread compilation flag
(or that defines the CUDA_API_PER_THREAD_DEFAULT_STREAM macro before including
CUDA headers (cuda.h and cuda_runtime.h)), the default stream is a regular stream
and each host thread has its own default stream.
For code that is compiled using the --default-stream legacy compilation flag, the
default stream is a special stream called the NULL stream and each device has a single
NULL stream used for all host threads. The NULL stream is special as it causes implicit
synchronization as described in Implicit Synchronization.
For code that is compiled without specifying a --default-stream compilation flag, -default-stream legacy is assumed as the default.

3.2.5.5.3. Explicit Synchronization
There are various ways to explicitly synchronize streams with each other.
cudaDeviceSynchronize() waits until all preceding commands in all streams of all

host threads have completed.

cudaStreamSynchronize()takes a stream as a parameter and waits until all preceding

commands in the given stream have completed. It can be used to synchronize the host
with a specific stream, allowing other streams to continue executing on the device.
cudaStreamWaitEvent()takes a stream and an event as parameters (see Events for

a description of events)and makes all the commands added to the given stream after
the call to cudaStreamWaitEvent()delay their execution until the given event has
completed. The stream can be 0, in which case all the commands added to any stream
after the call to cudaStreamWaitEvent()wait on the event.
cudaStreamQuery()provides applications with a way to know if all preceding

commands in a stream have completed.

To avoid unnecessary slowdowns, all these synchronization functions are usually best
used for timing purposes or to isolate a launch or memory copy that is failing.

3.2.5.5.4. Implicit Synchronization
Two commands from different streams cannot run concurrently if any one of the
following operations is issued in-between them by the host thread:
‣
‣
‣
‣

a page-locked host memory allocation,
a device memory allocation,
a device memory set,
a memory copy between two addresses to the same device memory,

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‣
‣

any CUDA command to the NULL stream,
a switch between the L1/shared memory configurations described in Compute
Capability 2.x and Compute Capability 3.x.

For devices that support concurrent kernel execution and are of compute capability 3.0
or lower, any operation that requires a dependency check to see if a streamed kernel
launch is complete:
‣
‣

Can start executing only when all thread blocks of all prior kernel launches from any
stream in the CUDA context have started executing;
Blocks all later kernel launches from any stream in the CUDA context until the
kernel launch being checked is complete.

Operations that require a dependency check include any other commands within the
same stream as the launch being checked and any call to cudaStreamQuery() on that
stream. Therefore, applications should follow these guidelines to improve their potential
for concurrent kernel execution:
‣
‣

All independent operations should be issued before dependent operations,
Synchronization of any kind should be delayed as long as possible.

3.2.5.5.5. Overlapping Behavior
The amount of execution overlap between two streams depends on the order in which
the commands are issued to each stream and whether or not the device supports
overlap of data transfer and kernel execution (see Overlap of Data Transfer and Kernel
Execution), concurrent kernel execution (see Concurrent Kernel Execution), and/or
concurrent data transfers (see Concurrent Data Transfers).
For example, on devices that do not support concurrent data transfers, the two streams
of the code sample of Creation and Destruction do not overlap at all because the
memory copy from host to device is issued to stream[1] after the memory copy from
device to host is issued to stream[0], so it can only start once the memory copy from
device to host issued to stream[0] has completed. If the code is rewritten the following
way (and assuming the device supports overlap of data transfer and kernel execution)
for (int i = 0; i < 2; ++i)
cudaMemcpyAsync(inputDevPtr + i * size, hostPtr + i * size,
size, cudaMemcpyHostToDevice, stream[i]);
for (int i = 0; i < 2; ++i)
MyKernel<<<100, 512, 0, stream[i]>>>
(outputDevPtr + i * size, inputDevPtr + i * size, size);
for (int i = 0; i < 2; ++i)
cudaMemcpyAsync(hostPtr + i * size, outputDevPtr + i * size,
size, cudaMemcpyDeviceToHost, stream[i]);

then the memory copy from host to device issued to stream[1] overlaps with the kernel
launch issued to stream[0].
On devices that do support concurrent data transfers, the two streams of the code
sample of Creation and Destruction do overlap: The memory copy from host to device
issued to stream[1] overlaps with the memory copy from device to host issued to
stream[0] and even with the kernel launch issued to stream[0] (assuming the device
supports overlap of data transfer and kernel execution). However, for devices of
compute capability 3.0 or lower, the kernel executions cannot possibly overlap because

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the second kernel launch is issued to stream[1] after the memory copy from device
to host is issued to stream[0], so it is blocked until the first kernel launch issued to
stream[0] is complete as per Implicit Synchronization. If the code is rewritten as
above, the kernel executions overlap (assuming the device supports concurrent kernel
execution) since the second kernel launch is issued to stream[1] before the memory copy
from device to host is issued to stream[0]. In that case however, the memory copy from
device to host issued to stream[0] only overlaps with the last thread blocks of the kernel
launch issued to stream[1] as per Implicit Synchronization, which can represent only a
small portion of the total execution time of the kernel.

3.2.5.5.6. Callbacks
The runtime provides a way to insert a callback at any point into a stream via
cudaStreamAddCallback(). A callback is a function that is executed on the host once
all commands issued to the stream before the callback have completed. Callbacks in
stream 0 are executed once all preceding tasks and commands issued in all streams
before the callback have completed.
The following code sample adds the callback function MyCallback to each of two
streams after issuing a host-to-device memory copy, a kernel launch and a device-to-host
memory copy into each stream. The callback will begin execution on the host after each
of the device-to-host memory copies completes.
void CUDART_CB MyCallback(cudaStream_t stream, cudaError_t status, void *data){
printf("Inside callback %d\n", (size_t)data);
}
...
for (size_t i = 0; i < 2; ++i) {
cudaMemcpyAsync(devPtrIn[i], hostPtr[i], size, cudaMemcpyHostToDevice,
stream[i]);
MyKernel<<<100, 512, 0, stream[i]>>>(devPtrOut[i], devPtrIn[i], size);
cudaMemcpyAsync(hostPtr[i], devPtrOut[i], size, cudaMemcpyDeviceToHost,
stream[i]);
cudaStreamAddCallback(stream[i], MyCallback, (void*)i, 0);
}

The commands that are issued in a stream (or all commands issued to any stream if the
callback is issued to stream 0) after a callback do not start executing before the callback
has completed. The last parameter of cudaStreamAddCallback() is reserved for future
use.
A callback must not make CUDA API calls (directly or indirectly), as it might end up
waiting on itself if it makes such a call leading to a deadlock.

3.2.5.5.7. Stream Priorities
The relative priorities of streams can be specified at creation using
cudaStreamCreateWithPriority(). The range of allowable priorities,
ordered as [ highest priority, lowest priority ] can be obtained using the
cudaDeviceGetStreamPriorityRange() function. At runtime, as blocks in lowpriority schemes finish, waiting blocks in higher-priority streams are scheduled in their
place.

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The following code sample obtains the allowable range of priorities for the current
device, and creates streams with the highest and lowest available priorities
// get the range of stream priorities for this device
int priority_high, priority_low;
cudaDeviceGetStreamPriorityRange(&priority_low, &priority_high);
// create streams with highest and lowest available priorities
cudaStream_t st_high, st_low;
cudaStreamCreateWithPriority(&st_high, cudaStreamNonBlocking, priority_high);
cudaStreamCreateWithPriority(&st_low, cudaStreamNonBlocking, priority_low);

3.2.5.6. Events
The runtime also provides a way to closely monitor the device's progress, as well as
perform accurate timing, by letting the application asynchronously record events at
any point in the program and query when these events are completed. An event has
completed when all tasks - or optionally, all commands in a given stream - preceding the
event have completed. Events in stream zero are completed after all preceding tasks and
commands in all streams are completed.

3.2.5.6.1. Creation and Destruction
The following code sample creates two events:
cudaEvent_t start, stop;
cudaEventCreate(&start);
cudaEventCreate(&stop);

They are destroyed this way:
cudaEventDestroy(start);
cudaEventDestroy(stop);

3.2.5.6.2. Elapsed Time
The events created in Creation and Destruction can be used to time the code sample of
Creation and Destruction the following way:
cudaEventRecord(start, 0);
for (int i = 0; i < 2; ++i) {
cudaMemcpyAsync(inputDev + i * size, inputHost + i * size,
size, cudaMemcpyHostToDevice, stream[i]);
MyKernel<<<100, 512, 0, stream[i]>>>
(outputDev + i * size, inputDev + i * size, size);
cudaMemcpyAsync(outputHost + i * size, outputDev + i * size,
size, cudaMemcpyDeviceToHost, stream[i]);
}
cudaEventRecord(stop, 0);
cudaEventSynchronize(stop);
float elapsedTime;
cudaEventElapsedTime(&elapsedTime, start, stop);

3.2.5.7. Synchronous Calls
When a synchronous function is called, control is not returned to the host thread before
the device has completed the requested task. Whether the host thread will then yield,
block, or spin can be specified by calling cudaSetDeviceFlags()with some specific
flags (see reference manual for details) before any other CUDA call is performed by the
host thread.

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3.2.6. Multi-Device System
3.2.6.1. Device Enumeration
A host system can have multiple devices. The following code sample shows how to
enumerate these devices, query their properties, and determine the number of CUDAenabled devices.
int deviceCount;
cudaGetDeviceCount(&deviceCount);
int device;
for (device = 0; device < deviceCount; ++device) {
cudaDeviceProp deviceProp;
cudaGetDeviceProperties(&deviceProp, device);
printf("Device %d has compute capability %d.%d.\n",
device, deviceProp.major, deviceProp.minor);
}

3.2.6.2. Device Selection
A host thread can set the device it operates on at any time by calling cudaSetDevice().
Device memory allocations and kernel launches are made on the currently set device;
streams and events are created in association with the currently set device. If no call to
cudaSetDevice() is made, the current device is device 0.
The following code sample illustrates how setting the current device affects memory
allocation and kernel execution.
size_t size = 1024 * sizeof(float);
cudaSetDevice(0);
// Set device 0 as current
float* p0;
cudaMalloc(&p0, size);
// Allocate memory on device 0
MyKernel<<<1000, 128>>>(p0); // Launch kernel on device 0
cudaSetDevice(1);
// Set device 1 as current
float* p1;
cudaMalloc(&p1, size);
// Allocate memory on device 1
MyKernel<<<1000, 128>>>(p1); // Launch kernel on device 1

3.2.6.3. Stream and Event Behavior
A kernel launch will fail if it is issued to a stream that is not associated to the current
device as illustrated in the following code sample.
cudaSetDevice(0);
// Set device 0 as current
cudaStream_t s0;
cudaStreamCreate(&s0);
// Create stream s0 on device 0
MyKernel<<<100, 64, 0, s0>>>(); // Launch kernel on device 0 in s0
cudaSetDevice(1);
// Set device 1 as current
cudaStream_t s1;
cudaStreamCreate(&s1);
// Create stream s1 on device 1
MyKernel<<<100, 64, 0, s1>>>(); // Launch kernel on device 1 in s1
// This kernel launch will fail:
MyKernel<<<100, 64, 0, s0>>>(); // Launch kernel on device 1 in s0

A memory copy will succeed even if it is issued to a stream that is not associated to the
current device.
cudaEventRecord() will fail if the input event and input stream are associated to

different devices.

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cudaEventElapsedTime() will fail if the two input events are associated to different

devices.

cudaEventSynchronize() and cudaEventQuery() will succeed even if the input

event is associated to a device that is different from the current device.

cudaStreamWaitEvent() will succeed even if the input stream and input event are
associated to different devices. cudaStreamWaitEvent() can therefore be used to

synchronize multiple devices with each other.

Each device has its own default stream (see Default Stream), so commands issued to
the default stream of a device may execute out of order or concurrently with respect to
commands issued to the default stream of any other device.

3.2.6.4. Peer-to-Peer Memory Access
When the application is run as a 64-bit process, devices of compute capability 2.0
and higher from the Tesla series may address each other's memory (i.e., a kernel
executing on one device can dereference a pointer to the memory of the other
device). This peer-to-peer memory access feature is supported between two devices if
cudaDeviceCanAccessPeer() returns true for these two devices.
Peer-to-peer memory access must be enabled between two devices by calling
cudaDeviceEnablePeerAccess() as illustrated in the following code sample. Each
device can support a system-wide maximum of eight peer connections.
A unified address space is used for both devices (see Unified Virtual Address Space),
so the same pointer can be used to address memory from both devices as shown in the
code sample below.
cudaSetDevice(0);
float* p0;
size_t size = 1024 * sizeof(float);
cudaMalloc(&p0, size);
MyKernel<<<1000, 128>>>(p0);
cudaSetDevice(1);
cudaDeviceEnablePeerAccess(0, 0);

// Set device 0 as current
//
//
//
//
//

Allocate memory on device 0
Launch kernel on device 0
Set device 1 as current
Enable peer-to-peer access
with device 0

// Launch kernel on device 1
// This kernel launch can access memory on device 0 at address p0
MyKernel<<<1000, 128>>>(p0);

3.2.6.5. Peer-to-Peer Memory Copy
Memory copies can be performed between the memories of two different devices.
When a unified address space is used for both devices (see Unified Virtual Address
Space), this is done using the regular memory copy functions mentioned in Device
Memory.

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Otherwise, this is done using cudaMemcpyPeer(), cudaMemcpyPeerAsync(),
cudaMemcpy3DPeer(), or cudaMemcpy3DPeerAsync() as illustrated in the following
code sample.
cudaSetDevice(0);
float* p0;
size_t size = 1024 * sizeof(float);
cudaMalloc(&p0, size);
cudaSetDevice(1);
float* p1;
cudaMalloc(&p1, size);
cudaSetDevice(0);
MyKernel<<<1000, 128>>>(p0);
cudaSetDevice(1);
cudaMemcpyPeer(p1, 1, p0, 0, size);
MyKernel<<<1000, 128>>>(p1);

// Set device 0 as current
// Allocate memory on device 0
// Set device 1 as current
//
//
//
//
//
//

Allocate memory on device 1
Set device 0 as current
Launch kernel on device 0
Set device 1 as current
Copy p0 to p1
Launch kernel on device 1

A copy (in the implicit NULL stream) between the memories of two different devices:
‣
‣

does not start until all commands previously issued to either device have completed
and
runs to completion before any commands (see Asynchronous Concurrent Execution)
issued after the copy to either device can start.

Consistent with the normal behavior of streams, an asynchronous copy between the
memories of two devices may overlap with copies or kernels in another stream.
Note that if peer-to-peer access is enabled between two devices via
cudaDeviceEnablePeerAccess() as described in Peer-to-Peer Memory Access, peerto-peer memory copy between these two devices no longer needs to be staged through
the host and is therefore faster.

3.2.7. Unified Virtual Address Space
When the application is run as a 64-bit process, a single address space is used for
the host and all the devices of compute capability 2.0 and higher. All host memory
allocations made via CUDA API calls and all device memory allocations on supported
devices are within this virtual address range. As a consequence:
‣
‣

‣

The location of any memory on the host allocated through CUDA, or on any of the
devices which use the unified address space, can be determined from the value of
the pointer using cudaPointerGetAttributes().
When copying to or from the memory of any device which uses the unified
address space, the cudaMemcpyKind parameter of cudaMemcpy*() can be set to
cudaMemcpyDefault to determine locations from the pointers. This also works
for host pointers not allocated through CUDA, as long as the current device uses
unified addressing.
Allocations via cudaHostAlloc() are automatically portable (see Portable
Memory) across all the devices for which the unified address space is used, and
pointers returned by cudaHostAlloc() can be used directly from within kernels
running on these devices (i.e., there is no need to obtain a device pointer via
cudaHostGetDevicePointer() as described in Mapped Memory.

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Applications may query if the unified address space is used for a particular device by
checking that the unifiedAddressing device property (see Device Enumeration) is
equal to 1.

3.2.8. Interprocess Communication
Any device memory pointer or event handle created by a host thread can be directly
referenced by any other thread within the same process. It is not valid outside this
process however, and therefore cannot be directly referenced by threads belonging to a
different process.
To share device memory pointers and events across processes, an application must
use the Inter Process Communication API, which is described in detail in the reference
manual. The IPC API is only supported for 64-bit processes on Linux and for devices of
compute capability 2.0 and higher.
Using this API, an application can get the IPC handle for a given device memory
pointer using cudaIpcGetMemHandle(), pass it to another process using
standard IPC mechanisms (e.g., interprocess shared memory or files), and use
cudaIpcOpenMemHandle() to retrieve a device pointer from the IPC handle that is a
valid pointer within this other process. Event handles can be shared using similar entry
points.
An example of using the IPC API is where a single master process generates a batch
of input data, making the data available to multiple slave processes without requiring
regeneration or copying.

3.2.9. Error Checking
All runtime functions return an error code, but for an asynchronous function (see
Asynchronous Concurrent Execution), this error code cannot possibly report any of the
asynchronous errors that could occur on the device since the function returns before the
device has completed the task; the error code only reports errors that occur on the host
prior to executing the task, typically related to parameter validation; if an asynchronous
error occurs, it will be reported by some subsequent unrelated runtime function call.
The only way to check for asynchronous errors just after some asynchronous
function call is therefore to synchronize just after the call by calling
cudaDeviceSynchronize() (or by using any other synchronization mechanisms
described in Asynchronous Concurrent Execution) and checking the error code returned
by cudaDeviceSynchronize().
The runtime maintains an error variable for each host thread that is initialized to
cudaSuccess and is overwritten by the error code every time an error occurs (be it
a parameter validation error or an asynchronous error). cudaPeekAtLastError()
returns this variable. cudaGetLastError() returns this variable and resets it to
cudaSuccess.
Kernel launches do not return any error code, so cudaPeekAtLastError() or
cudaGetLastError() must be called just after the kernel launch to retrieve any
pre-launch errors. To ensure that any error returned by cudaPeekAtLastError()
or cudaGetLastError() does not originate from calls prior to the kernel launch,

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one has to make sure that the runtime error variable is set to cudaSuccess just before
the kernel launch, for example, by calling cudaGetLastError() just before the
kernel launch. Kernel launches are asynchronous, so to check for asynchronous
errors, the application must synchronize in-between the kernel launch and the call to
cudaPeekAtLastError() or cudaGetLastError().
Note that cudaErrorNotReady that may be returned by cudaStreamQuery() and
cudaEventQuery() is not considered an error and is therefore not reported by
cudaPeekAtLastError() or cudaGetLastError().

3.2.10. Call Stack
On devices of compute capability 2.x and higher, the size of the call stack can be queried
using cudaDeviceGetLimit() and set using cudaDeviceSetLimit().
When the call stack overflows, the kernel call fails with a stack overflow error if the
application is run via a CUDA debugger (cuda-gdb, Nsight) or an unspecified launch
error, otherwise.

3.2.11. Texture and Surface Memory
CUDA supports a subset of the texturing hardware that the GPU uses for graphics
to access texture and surface memory. Reading data from texture or surface memory
instead of global memory can have several performance benefits as described in Device
Memory Accesses.
There are two different APIs to access texture and surface memory:
‣
‣

The texture reference API that is supported on all devices,
The texture object API that is only supported on devices of compute capability 3.x.

The texture reference API has limitations that the texture object API does not have. They
are mentioned in Texture Reference API.

3.2.11.1. Texture Memory
Texture memory is read from kernels using the device functions described in Texture
Functions. The process of reading a texture calling one of these functions is called a
texture fetch. Each texture fetch specifies a parameter called a texture object for the texture
object API or a texture reference for the texture reference API.
The texture object or the texture reference specifies:
‣

The texture, which is the piece of texture memory that is fetched. Texture objects are
created at runtime and the texture is specified when creating the texture object as
described in Texture Object API. Texture references are created at compile time and
the texture is specified at runtime by bounding the texture reference to the texture
through runtime functions as described in Texture Reference API; several distinct
texture references might be bound to the same texture or to textures that overlap in
memory. A texture can be any region of linear memory or a CUDA array (described
in CUDA Arrays).

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‣

‣

‣

‣

‣

‣

Its dimensionality that specifies whether the texture is addressed as a one
dimensional array using one texture coordinate, a two-dimensional array using two
texture coordinates, or a three-dimensional array using three texture coordinates.
Elements of the array are called texels, short for texture elements. The texture width,
height, and depth refer to the size of the array in each dimension. Table 13 lists the
maximum texture width, height, and depth depending on the compute capability of
the device.
The type of a texel, which is restricted to the basic integer and single-precision
floating-point types and any of the 1-, 2-, and 4-component vector types defined in
char, short, int, long, longlong, float, double that are derived from the basic integer
and single-precision floating-point types.
The read mode, which is equal to cudaReadModeNormalizedFloat or
cudaReadModeElementType. If it is cudaReadModeNormalizedFloat and the
type of the texel is a 16-bit or 8-bit integer type, the value returned by the texture
fetch is actually returned as floating-point type and the full range of the integer type
is mapped to [0.0, 1.0] for unsigned integer type and [-1.0, 1.0] for signed integer
type; for example, an unsigned 8-bit texture element with the value 0xff reads as 1. If
it is cudaReadModeElementType, no conversion is performed.
Whether texture coordinates are normalized or not. By default, textures
are referenced (by the functions of Texture Functions) using floating-point
coordinates in the range [0, N-1] where N is the size of the texture in the dimension
corresponding to the coordinate. For example, a texture that is 64x32 in size will
be referenced with coordinates in the range [0, 63] and [0, 31] for the x and y
dimensions, respectively. Normalized texture coordinates cause the coordinates
to be specified in the range [0.0, 1.0-1/N] instead of [0, N-1], so the same 64x32
texture would be addressed by normalized coordinates in the range [0, 1-1/N] in
both the x and y dimensions. Normalized texture coordinates are a natural fit to
some applications' requirements, if it is preferable for the texture coordinates to be
independent of the texture size.
The addressing mode. It is valid to call the device functions of Section B.8 with
coordinates that are out of range. The addressing mode defines what happens
in that case. The default addressing mode is to clamp the coordinates to the
valid range: [0, N) for non-normalized coordinates and [0.0, 1.0) for normalized
coordinates. If the border mode is specified instead, texture fetches with outof-range texture coordinates return zero. For normalized coordinates, the warp
mode and the mirror mode are also available. When using the wrap mode, each
coordinate x is converted to frac(x)=x floor(x) where floor(x) is the largest integer
not greater than x. When using the mirror mode, each coordinate x is converted
to frac(x) if floor(x) is even and 1-frac(x) if floor(x) is odd. The addressing mode is
specified as an array of size three whose first, second, and third elements specify the
addressing mode for the first, second, and third texture coordinates, respectively;
the addressing mode are cudaAddressModeBorder, cudaAddressModeClamp,
cudaAddressModeWrap, and cudaAddressModeMirror; cudaAddressModeWrap
and cudaAddressModeMirror are only supported for normalized texture
coordinates
The filtering mode which specifies how the value returned when fetching the texture
is computed based on the input texture coordinates. Linear texture filtering may be
done only for textures that are configured to return floating-point data. It performs

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low-precision interpolation between neighboring texels. When enabled, the texels
surrounding a texture fetch location are read and the return value of the texture
fetch is interpolated based on where the texture coordinates fell between the texels.
Simple linear interpolation is performed for one-dimensional textures, bilinear
interpolation for two-dimensional textures, and trilinear interpolation for threedimensional textures. Texture Fetching gives more details on texture fetching. The
filtering mode is equal to cudaFilterModePoint or cudaFilterModeLinear. If it
is cudaFilterModePoint, the returned value is the texel whose texture coordinates
are the closest to the input texture coordinates. If it is cudaFilterModeLinear, the
returned value is the linear interpolation of the two (for a one-dimensional texture),
four (for a two dimensional texture), or eight (for a three dimensional texture)
texels whose texture coordinates are the closest to the input texture coordinates.
cudaFilterModeLinear is only valid for returned values of floating-point type.
Texture Object API introduces the texture object API.
Texture Reference API introduces the texture reference API.
16-Bit Floating-Point Textures explains how to deal with 16-bit floating-point textures.
Textures can also be layered as described in Layered Textures.
Cubemap Textures and Cubemap Layered Textures describe a special type of texture,
the cubemap texture.
Texture Gather describes a special texture fetch, texture gather.

3.2.11.1.1. Texture Object API
A texture object is created using cudaCreateTextureObject() from a resource
description of type struct cudaResourceDesc, which specifies the texture, and from a
texture description defined as such:
struct cudaTextureDesc
{
enum cudaTextureAddressMode
enum cudaTextureFilterMode
enum cudaTextureReadMode
int
int
unsigned int
enum cudaTextureFilterMode
float
float
float
};

‣
‣
‣
‣
‣

addressMode[3];
filterMode;
readMode;
sRGB;
normalizedCoords;
maxAnisotropy;
mipmapFilterMode;
mipmapLevelBias;
minMipmapLevelClamp;
maxMipmapLevelClamp;

addressMode specifies the addressing mode;
filterMode specifies the filter mode;
readMode specifies the read mode;
normalizedCoords specifies whether texture coordinates are normalized or not;
See reference manual for sRGB, maxAnisotropy, mipmapFilterMode,
mipmapLevelBias, minMipmapLevelClamp, and maxMipmapLevelClamp.

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The following code sample applies some simple transformation kernel to a texture.
// Simple transformation kernel
__global__ void transformKernel(float* output,
cudaTextureObject_t texObj,
int width, int height,
float theta)
{
// Calculate normalized texture coordinates
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
float u = x / (float)width;
float v = y / (float)height;
// Transform coordinates
u -= 0.5f;
v -= 0.5f;
float tu = u * cosf(theta) - v * sinf(theta) + 0.5f;
float tv = v * cosf(theta) + u * sinf(theta) + 0.5f;

}

// Read from texture and write to global memory
output[y * width + x] = tex2D(texObj, tu, tv);

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// Host code
int main()
{
// Allocate CUDA array in device memory
cudaChannelFormatDesc channelDesc =
cudaCreateChannelDesc(32, 0, 0, 0,
cudaChannelFormatKindFloat);
cudaArray* cuArray;
cudaMallocArray(&cuArray, &channelDesc, width, height);
// Copy to device memory some data located at address h_data
// in host memory
cudaMemcpyToArray(cuArray, 0, 0, h_data, size,
cudaMemcpyHostToDevice);
// Specify texture
struct cudaResourceDesc resDesc;
memset(&resDesc, 0, sizeof(resDesc));
resDesc.resType = cudaResourceTypeArray;
resDesc.res.array.array = cuArray;
// Specify texture object parameters
struct cudaTextureDesc texDesc;
memset(&texDesc, 0, sizeof(texDesc));
texDesc.addressMode[0]
= cudaAddressModeWrap;
texDesc.addressMode[1]
= cudaAddressModeWrap;
texDesc.filterMode
= cudaFilterModeLinear;
texDesc.readMode
= cudaReadModeElementType;
texDesc.normalizedCoords = 1;
// Create texture object
cudaTextureObject_t texObj = 0;
cudaCreateTextureObject(&texObj, &resDesc, &texDesc, NULL);
// Allocate result of transformation in device memory
float* output;
cudaMalloc(&output, width * height * sizeof(float));
// Invoke kernel
dim3 dimBlock(16, 16);
dim3 dimGrid((width + dimBlock.x - 1) / dimBlock.x,
(height + dimBlock.y - 1) / dimBlock.y);
transformKernel<<>>(output,
texObj, width, height,
angle);
// Destroy texture object
cudaDestroyTextureObject(texObj);
// Free device memory
cudaFreeArray(cuArray);
cudaFree(output);
}

return 0;

3.2.11.1.2. Texture Reference API
Some of the attributes of a texture reference are immutable and must be known at
compile time; they are specified when declaring the texture reference. A texture
reference is declared at file scope as a variable of type texture:
texture texRef;

where:

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‣
‣

‣

DataType specifies the type of the texel;
Type specifies the type of the texture reference and is equal to
cudaTextureType1D, cudaTextureType2D, or cudaTextureType3D, for a

one-dimensional, two-dimensional, or three-dimensional texture, respectively,
or cudaTextureType1DLayered or cudaTextureType2DLayered for a onedimensional or two-dimensional layered texture respectively; Type is an optional
argument which defaults to cudaTextureType1D;
ReadMode specifies the read mode; it is an optional argument which defaults to
cudaReadModeElementType.

A texture reference can only be declared as a static global variable and cannot be passed
as an argument to a function.
The other attributes of a texture reference are mutable and can be changed at runtime
through the host runtime. As explained in the reference manual, the runtime API
has a low-level C-style interface and a high-level C++-style interface. The texture
type is defined in the high-level API as a structure publicly derived from the
textureReference type defined in the low-level API as such:
struct textureReference {
int
enum cudaTextureFilterMode
enum cudaTextureAddressMode
struct cudaChannelFormatDesc
int
unsigned int
enum cudaTextureFilterMode
float
float
float
}

‣
‣
‣
‣

normalized;
filterMode;
addressMode[3];
channelDesc;
sRGB;
maxAnisotropy;
mipmapFilterMode;
mipmapLevelBias;
minMipmapLevelClamp;
maxMipmapLevelClamp;

normalized specifies whether texture coordinates are normalized or not;
filterMode specifies the filtering mode;
addressMode specifies the addressing mode;
channelDesc describes the format of the texel; it must match the DataType
argument of the texture reference declaration; channelDesc is of the following

type:

struct cudaChannelFormatDesc {
int x, y, z, w;
enum cudaChannelFormatKind f;
};

where x, y, z, and w are equal to the number of bits of each component of the
returned value and f is:
‣

‣

cudaChannelFormatKindSigned if these components are of signed integer

type,
‣ cudaChannelFormatKindUnsigned if they are of unsigned integer type,
‣ cudaChannelFormatKindFloat if they are of floating point type.
See reference manual for sRGB, maxAnisotropy, mipmapFilterMode,
mipmapLevelBias, minMipmapLevelClamp, and maxMipmapLevelClamp.

normalized, addressMode, and filterMode may be directly modified in host code.

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Before a kernel can use a texture reference to read from texture memory, the
texture reference must be bound to a texture using cudaBindTexture() or
cudaBindTexture2D() for linear memory, or cudaBindTextureToArray() for CUDA
arrays. cudaUnbindTexture() is used to unbind a texture reference. Once a texture
reference has been unbound, it can be safely rebound to another array, even if kernels
that use the previously bound texture have not completed. It is recommended to allocate
two-dimensional textures in linear memory using cudaMallocPitch() and use the
pitch returned by cudaMallocPitch() as input parameter to cudaBindTexture2D().
The following code samples bind a 2D texture reference to linear memory pointed to by
devPtr:
‣

‣

Using the low-level API:
texture texRef;
textureReference* texRefPtr;
cudaGetTextureReference(&texRefPtr, &texRef);
cudaChannelFormatDesc channelDesc =
cudaCreateChannelDesc();
size_t offset;
cudaBindTexture2D(&offset, texRefPtr, devPtr, &channelDesc,
width, height, pitch);

Using the high-level API:

texture texRef;
cudaChannelFormatDesc channelDesc =
cudaCreateChannelDesc();
size_t offset;
cudaBindTexture2D(&offset, texRef, devPtr, channelDesc,
width, height, pitch);

The following code samples bind a 2D texture reference to a CUDA array cuArray:
‣

‣

Using the low-level API:
texture texRef;
textureReference* texRefPtr;
cudaGetTextureReference(&texRefPtr, &texRef);
cudaChannelFormatDesc channelDesc;
cudaGetChannelDesc(&channelDesc, cuArray);
cudaBindTextureToArray(texRef, cuArray, &channelDesc);

Using the high-level API:

texture texRef;
cudaBindTextureToArray(texRef, cuArray);

The format specified when binding a texture to a texture reference must match the
parameters specified when declaring the texture reference; otherwise, the results of
texture fetches are undefined.
There is a limit to the number of textures that can be bound to a kernel as specified in
Table 13.

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The following code sample applies some simple transformation kernel to a texture.
// 2D float texture
texture texRef;
// Simple transformation kernel
__global__ void transformKernel(float* output,
int width, int height,
float theta)
{
// Calculate normalized texture coordinates
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
float u = x / (float)width;
float v = y / (float)height;
// Transform coordinates
u -= 0.5f;
v -= 0.5f;
float tu = u * cosf(theta) - v * sinf(theta) + 0.5f;
float tv = v * cosf(theta) + u * sinf(theta) + 0.5f;

}

// Read from texture and write to global memory
output[y * width + x] = tex2D(texRef, tu, tv);

// Host code
int main()
{
// Allocate CUDA array in device memory
cudaChannelFormatDesc channelDesc =
cudaCreateChannelDesc(32, 0, 0, 0,
cudaChannelFormatKindFloat);
cudaArray* cuArray;
cudaMallocArray(&cuArray, &channelDesc, width, height);
// Copy to device memory some data located at address h_data
// in host memory
cudaMemcpyToArray(cuArray, 0, 0, h_data, size,
cudaMemcpyHostToDevice);
// Set texture reference parameters
texRef.addressMode[0] = cudaAddressModeWrap;
texRef.addressMode[1] = cudaAddressModeWrap;
texRef.filterMode
= cudaFilterModeLinear;
texRef.normalized
= true;
// Bind the array to the texture reference
cudaBindTextureToArray(texRef, cuArray, channelDesc);
// Allocate result of transformation in device memory
float* output;
cudaMalloc(&output, width * height * sizeof(float));
// Invoke kernel
dim3 dimBlock(16, 16);
dim3 dimGrid((width + dimBlock.x - 1) / dimBlock.x,
(height + dimBlock.y - 1) / dimBlock.y);
transformKernel<<>>(output, width, height,
angle);
// Free device memory
cudaFreeArray(cuArray);
cudaFree(output);
}

return 0;

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3.2.11.1.3. 16-Bit Floating-Point Textures
The 16-bit floating-point or half format supported by CUDA arrays is the same as the
IEEE 754-2008 binary2 format.
CUDA C does not support a matching data type, but provides intrinsic functions to
convert to and from the 32-bit floating-point format via the unsigned short type:
__float2half_rn(float) and __half2float(unsigned short). These functions
are only supported in device code. Equivalent functions for the host code can be found
in the OpenEXR library, for example.
16-bit floating-point components are promoted to 32 bit float during texture fetching
before any filtering is performed.
A channel description for the 16-bit floating-point format can be created by calling one
of the cudaCreateChannelDescHalf*() functions.

3.2.11.1.4. Layered Textures
A one-dimensional or two-dimensional layered texture (also known as texture array in
Direct3D and array texture in OpenGL) is a texture made up of a sequence of layers, all of
which are regular textures of same dimensionality, size, and data type.
A one-dimensional layered texture is addressed using an integer index and a floatingpoint texture coordinate; the index denotes a layer within the sequence and the
coordinate addresses a texel within that layer. A two-dimensional layered texture is
addressed using an integer index and two floating-point texture coordinates; the index
denotes a layer within the sequence and the coordinates address a texel within that layer.
A layered texture can only be a CUDA array by calling cudaMalloc3DArray() with the
cudaArrayLayered flag (and a height of zero for one-dimensional layered texture).
Layered textures are fetched using the device functions described in tex1DLayered(),
tex1DLayered(), tex2DLayered(), and tex2DLayered(). Texture filtering (see Texture
Fetching) is done only within a layer, not across layers.
Layered textures are only supported on devices of compute capability 2.0 and higher.

3.2.11.1.5. Cubemap Textures
A cubemap texture is a special type of two-dimensional layered texture that has six layers
representing the faces of a cube:
‣
‣

The width of a layer is equal to its height.
The cubemap is addressed using three texture coordinates x, y, and z that are
interpreted as a direction vector emanating from the center of the cube and pointing
to one face of the cube and a texel within the layer corresponding to that face. More
specifically, the face is selected by the coordinate with largest magnitude m and the
corresponding layer is addressed using coordinates (s/m+1)/2 and (t/m+1)/2 where s
and t are defined in Table 1.

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Table 1 Cubemap Fetch

|x| > |y| and |x| > |z|

|y| > |x| and |y| > |z|

|z| > |x| and |z| > |y|

face

m

s

t

x>0

0

x

-z

-y

x<0

1

-x

z

-y

y>0

2

y

x

z

y<0

3

-y

x

-z

z>0

4

z

x

-y

z<0

5

-z

-x

-y

A layered texture can only be a CUDA array by calling cudaMalloc3DArray() with the
cudaArrayCubemap flag.
Cubemap textures are fetched using the device function described in texCubemap() and
texCubemap().
Cubemap textures are only supported on devices of compute capability 2.0 and higher.

3.2.11.1.6. Cubemap Layered Textures
A cubemap layered texture is a layered texture whose layers are cubemaps of same
dimension.
A cubemap layered texture is addressed using an integer index and three floatingpoint texture coordinates; the index denotes a cubemap within the sequence and the
coordinates address a texel within that cubemap.
A layered texture can only be a CUDA array by calling cudaMalloc3DArray() with the
cudaArrayLayered and cudaArrayCubemap flags.
Cubemap layered textures are fetched using the device function described in
texCubemapLayered() and texCubemapLayered(). Texture filtering (see Texture
Fetching) is done only within a layer, not across layers.
Cubemap layered textures are only supported on devices of compute capability 2.0 and
higher.

3.2.11.1.7. Texture Gather
Texture gather is a special texture fetch that is available for two-dimensional textures
only. It is performed by the tex2Dgather() function, which has the same parameters
as tex2D(), plus an additional comp parameter equal to 0, 1, 2, or 3 (see tex2Dgather()
and tex2Dgather()). It returns four 32-bit numbers that correspond to the value of the
component comp of each of the four texels that would have been used for bilinear
filtering during a regular texture fetch. For example, if these texels are of values
(253, 20, 31, 255), (250, 25, 29, 254), (249, 16, 37, 253), (251, 22, 30, 250), and comp is 2,
tex2Dgather() returns (31, 29, 37, 30).
Texture gather is only supported for CUDA arrays created with the
cudaArrayTextureGather flag and of width and height less than the maximum
specified in Table 13 for texture gather, which is smaller than for regular texture fetch.

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Texture gather is only supported on devices of compute capability 2.0 and higher.

3.2.11.2. Surface Memory
For devices of compute capability 2.0 and higher, a CUDA array (described in Cubemap
Surfaces), created with the cudaArraySurfaceLoadStore flag, can be read and written
via a surface object or surface reference using the functions described in Surface Functions.
Table 13 lists the maximum surface width, height, and depth depending on the compute
capability of the device.

3.2.11.2.1. Surface Object API
A surface object is created using cudaCreateSurfaceObject() from a resource
description of type struct cudaResourceDesc.

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The following code sample applies some simple transformation kernel to a texture.
// Simple copy kernel
__global__ void copyKernel(cudaSurfaceObject_t inputSurfObj,
cudaSurfaceObject_t outputSurfObj,
int width, int height)
{
// Calculate surface coordinates
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
if (x < width && y < height) {
uchar4 data;
// Read from input surface
surf2Dread(&data, inputSurfObj, x * 4, y);
// Write to output surface
surf2Dwrite(data, outputSurfObj, x * 4, y);
}
}
// Host code
int main()
{
// Allocate CUDA arrays in device memory
cudaChannelFormatDesc channelDesc =
cudaCreateChannelDesc(8, 8, 8, 8,
cudaChannelFormatKindUnsigned);
cudaArray* cuInputArray;
cudaMallocArray(&cuInputArray, &channelDesc, width, height,
cudaArraySurfaceLoadStore);
cudaArray* cuOutputArray;
cudaMallocArray(&cuOutputArray, &channelDesc, width, height,
cudaArraySurfaceLoadStore);
// Copy to device memory some data located at address h_data
// in host memory
cudaMemcpyToArray(cuInputArray, 0, 0, h_data, size,
cudaMemcpyHostToDevice);
// Specify surface
struct cudaResourceDesc resDesc;
memset(&resDesc, 0, sizeof(resDesc));
resDesc.resType = cudaResourceTypeArray;
// Create the surface objects
resDesc.res.array.array = cuInputArray;
cudaSurfaceObject_t inputSurfObj = 0;
cudaCreateSurfaceObject(&inputSurfObj, &resDesc);
resDesc.res.array.array = cuOutputArray;
cudaSurfaceObject_t outputSurfObj = 0;
cudaCreateSurfaceObject(&outputSurfObj, &resDesc);
// Invoke kernel
dim3 dimBlock(16, 16);
dim3 dimGrid((width + dimBlock.x - 1) / dimBlock.x,
(height + dimBlock.y - 1) / dimBlock.y);
copyKernel<<>>(inputSurfObj,
outputSurfObj,
width, height);
// Destroy surface objects
cudaDestroySurfaceObject(inputSurfObj);
cudaDestroySurfaceObject(outputSurfObj);
// Free device memory
cudaFreeArray(cuInputArray);
cudaFreeArray(cuOutputArray);
}

return 0;

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3.2.11.2.2. Surface Reference API
A surface reference is declared at file scope as a variable of type surface:
surface surfRef;

where Type specifies the type of the surface reference and is equal to
cudaSurfaceType1D, cudaSurfaceType2D, cudaSurfaceType3D,
cudaSurfaceTypeCubemap, cudaSurfaceType1DLayered,
cudaSurfaceType2DLayered, or cudaSurfaceTypeCubemapLayered; Type is an
optional argument which defaults to cudaSurfaceType1D. A surface reference can only
be declared as a static global variable and cannot be passed as an argument to a function.
Before a kernel can use a surface reference to access a CUDA array, the surface reference
must be bound to the CUDA array using cudaBindSurfaceToArray().
The following code samples bind a surface reference to a CUDA array cuArray:
‣

‣

Using the low-level API:
surface surfRef;
surfaceReference* surfRefPtr;
cudaGetSurfaceReference(&surfRefPtr, "surfRef");
cudaChannelFormatDesc channelDesc;
cudaGetChannelDesc(&channelDesc, cuArray);
cudaBindSurfaceToArray(surfRef, cuArray, &channelDesc);

Using the high-level API:

surface surfRef;
cudaBindSurfaceToArray(surfRef, cuArray);

A CUDA array must be read and written using surface functions of matching
dimensionality and type and via a surface reference of matching dimensionality;
otherwise, the results of reading and writing the CUDA array are undefined.
Unlike texture memory, surface memory uses byte addressing. This means that
the x-coordinate used to access a texture element via texture functions needs to be
multiplied by the byte size of the element to access the same element via a surface
function. For example, the element at texture coordinate x of a one-dimensional
floating-point CUDA array bound to a texture reference texRef and a surface reference
surfRef is read using tex1d(texRef, x) via texRef, but surf1Dread(surfRef,
4*x) via surfRef. Similarly, the element at texture coordinate x and y of a twodimensional floating-point CUDA array bound to a texture reference texRef and a
surface reference surfRef is accessed using tex2d(texRef, x, y) via texRef, but
surf2Dread(surfRef, 4*x, y) via surfRef (the byte offset of the y-coordinate is
internally calculated from the underlying line pitch of the CUDA array).

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The following code sample applies some simple transformation kernel to a texture.
// 2D surfaces
surface inputSurfRef;
surface outputSurfRef;
// Simple copy kernel
__global__ void copyKernel(int width, int height)
{
// Calculate surface coordinates
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
if (x < width && y < height) {
uchar4 data;
// Read from input surface
surf2Dread(&data, inputSurfRef, x * 4, y);
// Write to output surface
surf2Dwrite(data, outputSurfRef, x * 4, y);
}
}
// Host code
int main()
{
// Allocate CUDA arrays in device memory
cudaChannelFormatDesc channelDesc =
cudaCreateChannelDesc(8, 8, 8, 8,
cudaChannelFormatKindUnsigned);
cudaArray* cuInputArray;
cudaMallocArray(&cuInputArray, &channelDesc, width, height,
cudaArraySurfaceLoadStore);
cudaArray* cuOutputArray;
cudaMallocArray(&cuOutputArray, &channelDesc, width, height,
cudaArraySurfaceLoadStore);
// Copy to device memory some data located at address h_data
// in host memory
cudaMemcpyToArray(cuInputArray, 0, 0, h_data, size,
cudaMemcpyHostToDevice);
// Bind the arrays to the surface references
cudaBindSurfaceToArray(inputSurfRef, cuInputArray);
cudaBindSurfaceToArray(outputSurfRef, cuOutputArray);
// Invoke kernel
dim3 dimBlock(16, 16);
dim3 dimGrid((width + dimBlock.x - 1) / dimBlock.x,
(height + dimBlock.y - 1) / dimBlock.y);
copyKernel<<>>(width, height);
// Free device memory
cudaFreeArray(cuInputArray);
cudaFreeArray(cuOutputArray);
}

return 0;

3.2.11.2.3. Cubemap Surfaces
Cubemap surfaces are accessed usingsurfCubemapread() and surfCubemapwrite()
(surfCubemapread and surfCubemapwrite) as a two-dimensional layered surface,
i.e., using an integer index denoting a face and two floating-point texture coordinates
addressing a texel within the layer corresponding to this face. Faces are ordered as
indicated in Table 1.

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3.2.11.2.4. Cubemap Layered Surfaces
Cubemap layered surfaces are accessed using surfCubemapLayeredread()
and surfCubemapLayeredwrite() (surfCubemapLayeredread() and
surfCubemapLayeredwrite()) as a two-dimensional layered surface, i.e., using an integer
index denoting a face of one of the cubemaps and two floating-point texture coordinates
addressing a texel within the layer corresponding to this face. Faces are ordered as
indicated in Table 1, so index ((2 * 6) + 3), for example, accesses the fourth face of the
third cubemap.

3.2.11.3. CUDA Arrays
CUDA arrays are opaque memory layouts optimized for texture fetching. They are one
dimensional, two dimensional, or three-dimensional and composed of elements, each of
which has 1, 2 or 4 components that may be signed or unsigned 8-, 16-, or 32-bit integers,
16-bit floats, or 32-bit floats. CUDA arrays are only accessible by kernels through texture
fetching as described in Texture Memory or surface reading and writing as described in
Surface Memory.

3.2.11.4. Read/Write Coherency
The texture and surface memory is cached (see Device Memory Accesses) and within
the same kernel call, the cache is not kept coherent with respect to global memory
writes and surface memory writes, so any texture fetch or surface read to an address
that has been written to via a global write or a surface write in the same kernel call
returns undefined data. In other words, a thread can safely read some texture or surface
memory location only if this memory location has been updated by a previous kernel
call or memory copy, but not if it has been previously updated by the same thread or
another thread from the same kernel call.

3.2.12. Graphics Interoperability
Some resources from OpenGL and Direct3D may be mapped into the address space of
CUDA, either to enable CUDA to read data written by OpenGL or Direct3D, or to enable
CUDA to write data for consumption by OpenGL or Direct3D.
A resource must be registered to CUDA before it can be mapped using the
functions mentioned in OpenGL Interoperability and Direct3D Interoperability.
These functions return a pointer to a CUDA graphics resource of type struct
cudaGraphicsResource. Registering a resource is potentially high-overhead and
therefore typically called only once per resource. A CUDA graphics resource is
unregistered using cudaGraphicsUnregisterResource(). Each CUDA context which
intends to use the resource is required to register it separately.
Once a resource is registered to CUDA, it can be mapped and unmapped
as many times as necessary using cudaGraphicsMapResources() and
cudaGraphicsUnmapResources(). cudaGraphicsResourceSetMapFlags() can be
called to specify usage hints (write-only, read-only) that the CUDA driver can use to
optimize resource management.

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A mapped resource can be read from or written to by kernels using the device memory
address returned by cudaGraphicsResourceGetMappedPointer() for buffers and
cudaGraphicsSubResourceGetMappedArray() for CUDA arrays.
Accessing a resource through OpenGL, Direct3D, or another CUDA context while
it is mapped produces undefined results. OpenGL Interoperability and Direct3D
Interoperability give specifics for each graphics API and some code samples. SLI
Interoperability gives specifics for when the system is in SLI mode.

3.2.12.1. OpenGL Interoperability
The OpenGL resources that may be mapped into the address space of CUDA are
OpenGL buffer, texture, and renderbuffer objects.
A buffer object is registered using cudaGraphicsGLRegisterBuffer(). In CUDA,
it appears as a device pointer and can therefore be read and written by kernels or via
cudaMemcpy() calls.
A texture or renderbuffer object is registered using
cudaGraphicsGLRegisterImage(). In CUDA, it appears as a CUDA array. Kernels
can read from the array by binding it to a texture or surface reference. They can also
write to it via the surface write functions if the resource has been registered with
the cudaGraphicsRegisterFlagsSurfaceLoadStore flag. The array can also be
read and written via cudaMemcpy2D() calls. cudaGraphicsGLRegisterImage()
supports all texture formats with 1, 2, or 4 components and an internal type of float
(e.g., GL_RGBA_FLOAT32), normalized integer (e.g., GL_RGBA8, GL_INTENSITY16), and
unnormalized integer (e.g., GL_RGBA8UI) (please note that since unnormalized integer
formats require OpenGL 3.0, they can only be written by shaders, not the fixed function
pipeline).
The OpenGL context whose resources are being shared has to be current to the host
thread making any OpenGL interoperability API calls.
Please note: When an OpenGL texture is made bindless (say for example by requesting
an image or texture handle using the glGetTextureHandle*/glGetImageHandle* APIs)
it cannot be registered with CUDA. The application needs to register the texture for
interop before requesting an image or texture handle.

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The following code sample uses a kernel to dynamically modify a 2D width x height
grid of vertices stored in a vertex buffer object:
GLuint positionsVBO;
struct cudaGraphicsResource* positionsVBO_CUDA;
int main()
{
// Initialize OpenGL and GLUT for device 0
// and make the OpenGL context current
...
glutDisplayFunc(display);
// Explicitly set device 0
cudaSetDevice(0);
// Create buffer object and register it with CUDA
glGenBuffers(1, &positionsVBO);
glBindBuffer(GL_ARRAY_BUFFER, positionsVBO);
unsigned int size = width * height * 4 * sizeof(float);
glBufferData(GL_ARRAY_BUFFER, size, 0, GL_DYNAMIC_DRAW);
glBindBuffer(GL_ARRAY_BUFFER, 0);
cudaGraphicsGLRegisterBuffer(&positionsVBO_CUDA,
positionsVBO,
cudaGraphicsMapFlagsWriteDiscard);
// Launch rendering loop
glutMainLoop();
}

...

void display()
{
// Map buffer object for writing from CUDA
float4* positions;
cudaGraphicsMapResources(1, &positionsVBO_CUDA, 0);
size_t num_bytes;
cudaGraphicsResourceGetMappedPointer((void**)&positions,
&num_bytes,
positionsVBO_CUDA));
// Execute kernel
dim3 dimBlock(16, 16, 1);
dim3 dimGrid(width / dimBlock.x, height / dimBlock.y, 1);
createVertices<<>>(positions, time,
width, height);
// Unmap buffer object
cudaGraphicsUnmapResources(1, &positionsVBO_CUDA, 0);
// Render from buffer object
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glBindBuffer(GL_ARRAY_BUFFER, positionsVBO);
glVertexPointer(4, GL_FLOAT, 0, 0);
glEnableClientState(GL_VERTEX_ARRAY);
glDrawArrays(GL_POINTS, 0, width * height);
glDisableClientState(GL_VERTEX_ARRAY);

}

// Swap buffers
glutSwapBuffers();
glutPostRedisplay();

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void deleteVBO()
{
cudaGraphicsUnregisterResource(positionsVBO_CUDA);
glDeleteBuffers(1, &positionsVBO);
}
__global__ void createVertices(float4* positions, float time,
unsigned int width, unsigned int height)
{
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
// Calculate uv coordinates
float u = x / (float)width;
float v = y / (float)height;
u = u * 2.0f - 1.0f;
v = v * 2.0f - 1.0f;
// calculate simple sine wave pattern
float freq = 4.0f;
float w = sinf(u * freq + time)
* cosf(v * freq + time) * 0.5f;

}

// Write positions
positions[y * width + x] = make_float4(u, w, v, 1.0f);

On Windows and for Quadro GPUs, cudaWGLGetDevice() can be used to retrieve the
CUDA device associated to the handle returned by wglEnumGpusNV(). Quadro GPUs
offer higher performance OpenGL interoperability than GeForce and Tesla GPUs in a
multi-GPU configuration where OpenGL rendering is performed on the Quadro GPU
and CUDA computations are performed on other GPUs in the system.

3.2.12.2. Direct3D Interoperability
Direct3D interoperability is supported for Direct3D 9Ex, Direct3D 10, and Direct3D 11.
A CUDA context may interoperate only with Direct3D devices that
fulfill the following criteria: Direct3D 9Ex devices must be created with
DeviceType set to D3DDEVTYPE_HAL and BehaviorFlags with the
D3DCREATE_HARDWARE_VERTEXPROCESSING flag; Direct3D 10 and Direct3D 11 devices
must be created with DriverType set to D3D_DRIVER_TYPE_HARDWARE.
The Direct3D resources that may be mapped into the address space of
CUDA are Direct3D buffers, textures, and surfaces. These resources
are registered using cudaGraphicsD3D9RegisterResource(),
cudaGraphicsD3D10RegisterResource(), and
cudaGraphicsD3D11RegisterResource().

The following code sample uses a kernel to dynamically modify a 2D width x height
grid of vertices stored in a vertex buffer object.

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3.2.12.2.1. Direct3D 9 Version
IDirect3D9* D3D;
IDirect3DDevice9* device;
struct CUSTOMVERTEX {
FLOAT x, y, z;
DWORD color;
};
IDirect3DVertexBuffer9* positionsVB;
struct cudaGraphicsResource* positionsVB_CUDA;
int main()
{
int dev;
// Initialize Direct3D
D3D = Direct3DCreate9Ex(D3D_SDK_VERSION);
// Get a CUDA-enabled adapter
unsigned int adapter = 0;
for (; adapter < g_pD3D->GetAdapterCount(); adapter++) {
D3DADAPTER_IDENTIFIER9 adapterId;
g_pD3D->GetAdapterIdentifier(adapter, 0, &adapterId);
if (cudaD3D9GetDevice(&dev, adapterId.DeviceName)
== cudaSuccess)
break;
}
// Create device
...
D3D->CreateDeviceEx(adapter, D3DDEVTYPE_HAL, hWnd,
D3DCREATE_HARDWARE_VERTEXPROCESSING,
¶ms, NULL, &device);
// Use the same device
cudaSetDevice(dev);
// Create vertex buffer and register it with CUDA
unsigned int size = width * height * sizeof(CUSTOMVERTEX);
device->CreateVertexBuffer(size, 0, D3DFVF_CUSTOMVERTEX,
D3DPOOL_DEFAULT, &positionsVB, 0);
cudaGraphicsD3D9RegisterResource(&positionsVB_CUDA,
positionsVB,
cudaGraphicsRegisterFlagsNone);
cudaGraphicsResourceSetMapFlags(positionsVB_CUDA,
cudaGraphicsMapFlagsWriteDiscard);

}

// Launch rendering loop
while (...) {
...
Render();
...
}
...

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void Render()
{
// Map vertex buffer for writing from CUDA
float4* positions;
cudaGraphicsMapResources(1, &positionsVB_CUDA, 0);
size_t num_bytes;
cudaGraphicsResourceGetMappedPointer((void**)&positions,
&num_bytes,
positionsVB_CUDA));
// Execute kernel
dim3 dimBlock(16, 16, 1);
dim3 dimGrid(width / dimBlock.x, height / dimBlock.y, 1);
createVertices<<>>(positions, time,
width, height);
// Unmap vertex buffer
cudaGraphicsUnmapResources(1, &positionsVB_CUDA, 0);

}

// Draw and present
...

void releaseVB()
{
cudaGraphicsUnregisterResource(positionsVB_CUDA);
positionsVB->Release();
}
__global__ void createVertices(float4* positions, float time,
unsigned int width, unsigned int height)
{
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
// Calculate uv coordinates
float u = x / (float)width;
float v = y / (float)height;
u = u * 2.0f - 1.0f;
v = v * 2.0f - 1.0f;
// Calculate simple sine wave pattern
float freq = 4.0f;
float w = sinf(u * freq + time)
* cosf(v * freq + time) * 0.5f;

}

// Write positions
positions[y * width + x] =
make_float4(u, w, v, __int_as_float(0xff00ff00));

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3.2.12.2.2. Direct3D 10 Version
ID3D10Device* device;
struct CUSTOMVERTEX {
FLOAT x, y, z;
DWORD color;
};
ID3D10Buffer* positionsVB;
struct cudaGraphicsResource* positionsVB_CUDA;
int main()
{
int dev;
// Get a CUDA-enabled adapter
IDXGIFactory* factory;
CreateDXGIFactory(__uuidof(IDXGIFactory), (void**)&factory);
IDXGIAdapter* adapter = 0;
for (unsigned int i = 0; !adapter; ++i) {
if (FAILED(factory->EnumAdapters(i, &adapter))
break;
if (cudaD3D10GetDevice(&dev, adapter) == cudaSuccess)
break;
adapter->Release();
}
factory->Release();
// Create swap chain and device
...
D3D10CreateDeviceAndSwapChain(adapter,
D3D10_DRIVER_TYPE_HARDWARE, 0,
D3D10_CREATE_DEVICE_DEBUG,
D3D10_SDK_VERSION,
&swapChainDesc, &swapChain,
&device);
adapter->Release();
// Use the same device
cudaSetDevice(dev);
// Create vertex buffer and register it with CUDA
unsigned int size = width * height * sizeof(CUSTOMVERTEX);
D3D10_BUFFER_DESC bufferDesc;
bufferDesc.Usage
= D3D10_USAGE_DEFAULT;
bufferDesc.ByteWidth
= size;
bufferDesc.BindFlags
= D3D10_BIND_VERTEX_BUFFER;
bufferDesc.CPUAccessFlags = 0;
bufferDesc.MiscFlags
= 0;
device->CreateBuffer(&bufferDesc, 0, &positionsVB);
cudaGraphicsD3D10RegisterResource(&positionsVB_CUDA,
positionsVB,
cudaGraphicsRegisterFlagsNone);
cudaGraphicsResourceSetMapFlags(positionsVB_CUDA,
cudaGraphicsMapFlagsWriteDiscard);

}

// Launch rendering loop
while (...) {
...
Render();
...
}
...

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void Render()
{
// Map vertex buffer for writing from CUDA
float4* positions;
cudaGraphicsMapResources(1, &positionsVB_CUDA, 0);
size_t num_bytes;
cudaGraphicsResourceGetMappedPointer((void**)&positions,
&num_bytes,
positionsVB_CUDA));
// Execute kernel
dim3 dimBlock(16, 16, 1);
dim3 dimGrid(width / dimBlock.x, height / dimBlock.y, 1);
createVertices<<>>(positions, time,
width, height);
// Unmap vertex buffer
cudaGraphicsUnmapResources(1, &positionsVB_CUDA, 0);

}

// Draw and present
...

void releaseVB()
{
cudaGraphicsUnregisterResource(positionsVB_CUDA);
positionsVB->Release();
}
__global__ void createVertices(float4* positions, float time,
unsigned int width, unsigned int height)
{
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;
// Calculate uv coordinates
float u = x / (float)width;
float v = y / (float)height;
u = u * 2.0f - 1.0f;
v = v * 2.0f - 1.0f;
// Calculate simple sine wave pattern
float freq = 4.0f;
float w = sinf(u * freq + time)
* cosf(v * freq + time) * 0.5f;

}

// Write positions
positions[y * width + x] =
make_float4(u, w, v, __int_as_float(0xff00ff00));

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3.2.12.2.3. Direct3D 11 Version
ID3D11Device* device;
struct CUSTOMVERTEX {
FLOAT x, y, z;
DWORD color;
};
ID3D11Buffer* positionsVB;
struct cudaGraphicsResource* positionsVB_CUDA;
int main()
{
int dev;
// Get a CUDA-enabled adapter
IDXGIFactory* factory;
CreateDXGIFactory(__uuidof(IDXGIFactory), (void**)&factory);
IDXGIAdapter* adapter = 0;
for (unsigned int i = 0; !adapter; ++i) {
if (FAILED(factory->EnumAdapters(i, &adapter))
break;
if (cudaD3D11GetDevice(&dev, adapter) == cudaSuccess)
break;
adapter->Release();
}
factory->Release();
// Create swap chain and device
...
sFnPtr_D3D11CreateDeviceAndSwapChain(adapter,
D3D11_DRIVER_TYPE_HARDWARE,
0,
D3D11_CREATE_DEVICE_DEBUG,
featureLevels, 3,
D3D11_SDK_VERSION,
&swapChainDesc, &swapChain,
&device,
&featureLevel,
&deviceContext);
adapter->Release();
// Use the same device
cudaSetDevice(dev);
// Create vertex buffer and register it with CUDA
unsigned int size = width * height * sizeof(CUSTOMVERTEX);
D3D11_BUFFER_DESC bufferDesc;
bufferDesc.Usage
= D3D11_USAGE_DEFAULT;
bufferDesc.ByteWidth
= size;
bufferDesc.BindFlags
= D3D11_BIND_VERTEX_BUFFER;
bufferDesc.CPUAccessFlags = 0;
bufferDesc.MiscFlags
= 0;
device->CreateBuffer(&bufferDesc, 0, &positionsVB);
cudaGraphicsD3D11RegisterResource(&positionsVB_CUDA,
positionsVB,
cudaGraphicsRegisterFlagsNone);
cudaGraphicsResourceSetMapFlags(positionsVB_CUDA,
cudaGraphicsMapFlagsWriteDiscard);

}

// Launch rendering loop
while (...) {
...
Render();
...
}
...

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void Render()
{
// Map vertex buffer for writing from CUDA
float4* positions;
cudaGraphicsMapResources(1, &positionsVB_CUDA, 0);
size_t num_bytes;
cudaGraphicsResourceGetMappedPointer((void**)&positions,
&num_bytes,
positionsVB_CUDA));
// Execute kernel
dim3 dimBlock(16, 16, 1);
dim3 dimGrid(width / dimBlock.x, height / dimBlock.y, 1);
createVertices<<>>(positions, time,
width, height);
// Unmap vertex buffer
cudaGraphicsUnmapResources(1, &positionsVB_CUDA, 0);

}

// Draw and present
...

void releaseVB()
{
cudaGraphicsUnregisterResource(positionsVB_CUDA);
positionsVB->Release();
}

{

__global__ void createVertices(float4* positions, float time,
unsigned int width, unsigned int height)
unsigned int x = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int y = blockIdx.y * blockDim.y + threadIdx.y;

// Calculate uv coordinates
float u = x / (float)width;
float v = y / (float)height;
u = u * 2.0f - 1.0f;
v = v * 2.0f - 1.0f;
// Calculate simple sine wave pattern
float freq = 4.0f;
float w = sinf(u * freq + time)
* cosf(v * freq + time) * 0.5f;

}

// Write positions
positions[y * width + x] =
make_float4(u, w, v, __int_as_float(0xff00ff00));

3.2.12.3. SLI Interoperability
In a system with multiple GPUs, all CUDA-enabled GPUs are accessible via the CUDA
driver and runtime as separate devices. There are however special considerations as
described below when the system is in SLI mode.
First, an allocation in one CUDA device on one GPU will consume memory on other
GPUs that are part of the SLI configuration of the Direct3D or OpenGL device. Because
of this, allocations may fail earlier than otherwise expected.
Second, applications should create multiple CUDA contexts, one for each GPU in the SLI
configuration. While this is not a strict requirement, it avoids unnecessary data transfers
between devices. The application can use the cudaD3D[9|10|11]GetDevices() for
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Direct3D and cudaGLGetDevices() for OpenGL set of calls to identify the CUDA
device handle(s) for the device(s) that are performing the rendering in the current
and next frame. Given this information the application will typically choose the
appropriate device and map Direct3D or OpenGL resources to the CUDA device
returned by cudaD3D[9|10|11]GetDevices() or cudaGLGetDevices() when the
deviceList parameter is set to cudaD3D[9|10|11]DeviceListCurrentFrame or
cudaGLDeviceListCurrentFrame.

Please note that resource returned from cudaGraphicsD9D[9|10|
11]RegisterResource and cudaGraphicsGLRegister[Buffer|Image] must be
only used on device the registration happened. Therefore on SLI configurations when
data for different frames is computed on different CUDA devices it is necessary to
register the resources for each separatly.
See Direct3D Interoperability and OpenGL Interoperability for details on how the
CUDA runtime interoperate with Direct3D and OpenGL, respectively.

3.3. Versioning and Compatibility
There are two version numbers that developers should care about when developing a
CUDA application: The compute capability that describes the general specifications and
features of the compute device (see Compute Capability) and the version of the CUDA
driver API that describes the features supported by the driver API and runtime.
The version of the driver API is defined in the driver header file as CUDA_VERSION. It
allows developers to check whether their application requires a newer device driver
than the one currently installed. This is important, because the driver API is backward
compatible, meaning that applications, plug-ins, and libraries (including the C runtime)
compiled against a particular version of the driver API will continue to work on
subsequent device driver releases as illustrated in Figure 11. The driver API is not
forward compatible, which means that applications, plug-ins, and libraries (including the
C runtime) compiled against a particular version of the driver API will not work on
previous versions of the device driver.
It is important to note that there are limitations on the mixing and matching of versions
that is supported:
‣

‣

‣

Since only one version of the CUDA Driver can be installed at a time on a system,
the installed driver must be of the same or higher version than the maximum Driver
API version against which any application, plug-ins, or libraries that must run on
that system were built.
All plug-ins and libraries used by an application must use the same version of the
CUDA Runtime unless they statically link to the Runtime, in which case multiple
versions of the runtime can coexist in the same process space. Note that if nvcc is
used to link the application, the static version of the CUDA Runtime library will
be used by default, and all CUDA Toolkit libraries are statically linked against the
CUDA Runtime.
All plug-ins and libraries used by an application must use the same version of any
libraries that use the runtime (such as cuFFT, cuBLAS, ...) unless statically linking to
those libraries.

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Apps,
Libs &
Plug-ins

Apps,
Libs &
Plug-ins

Apps,
Libs &
Plug-ins

...

1.0
Driver

1.1
Driver

2.0
Driver

...

Compatible

Incompatible

Figure 11 The Driver API Is Backward but Not Forward Compatible

3.4. Compute Modes
On Tesla solutions running Windows Server 2008 and later or Linux, one can set
any device in a system in one of the three following modes using NVIDIA's System
Management Interface (nvidia-smi), which is a tool distributed as part of the driver:
‣

‣
‣
‣

Default compute mode: Multiple host threads can use the device (by calling
cudaSetDevice() on this device, when using the runtime API, or by making
current a context associated to the device, when using the driver API) at the same
time.
Exclusive-process compute mode: Only one CUDA context may be created on the
device across all processes in the system and that context may be current to as many
threads as desired within the process that created that context.
Exclusive-process-and-thread compute mode: Only one CUDA context may be created
on the device across all processes in the system and that context may only be current
to one thread at a time.
Prohibited compute mode: No CUDA context can be created on the device.

This means, in particular, that a host thread using the runtime API without explicitly
calling cudaSetDevice() might be associated with a device other than device 0 if
device 0 turns out to be in the exclusive-process mode and used by another process, or
in the exclusive-process-and-thread mode and used by another thread, or in prohibited

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mode. cudaSetValidDevices() can be used to set a device from a prioritized list of
devices.
Applications may query the compute mode of a device by checking the computeMode
device property (see Device Enumeration).

3.5. Mode Switches
GPUs that have a display output dedicate some DRAM memory to the so-called primary
surface, which is used to refresh the display device whose output is viewed by the user.
When users initiate a mode switch of the display by changing the resolution or bit depth
of the display (using NVIDIA control panel or the Display control panel on Windows),
the amount of memory needed for the primary surface changes. For example, if the
user changes the display resolution from 1280x1024x32-bit to 1600x1200x32-bit, the
system must dedicate 7.68 MB to the primary surface rather than 5.24 MB. (Full-screen
graphics applications running with anti-aliasing enabled may require much more
display memory for the primary surface.) On Windows, other events that may initiate
display mode switches include launching a full-screen DirectX application, hitting Alt
+Tab to task switch away from a full-screen DirectX application, or hitting Ctrl+Alt+Del
to lock the computer.
If a mode switch increases the amount of memory needed for the primary surface, the
system may have to cannibalize memory allocations dedicated to CUDA applications.
Therefore, a mode switch results in any call to the CUDA runtime to fail and return an
invalid context error.

3.6. Tesla Compute Cluster Mode for Windows
Using NVIDIA's System Management Interface (nvidia-smi), the Windows device driver
can be put in TCC (Tesla Compute Cluster) mode for devices of the Tesla and Quadro
Series of compute capability 2.0 and higher.
This mode has the following primary benefits:
‣
‣
‣

It makes it possible to use these GPUs in cluster nodes with non-NVIDIA integrated
graphics;
It makes these GPUs available via Remote Desktop, both directly and via cluster
management systems that rely on Remote Desktop;
It makes these GPUs available to applications running as a Windows service (i.e., in
Session 0).

However, the TCC mode removes support for any graphics functionality.

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Chapter 4.
HARDWARE IMPLEMENTATION

The NVIDIA GPU architecture is built around a scalable array of multithreaded
Streaming Multiprocessors (SMs). When a CUDA program on the host CPU invokes a
kernel grid, the blocks of the grid are enumerated and distributed to multiprocessors
with available execution capacity. The threads of a thread block execute concurrently
on one multiprocessor, and multiple thread blocks can execute concurrently on one
multiprocessor. As thread blocks terminate, new blocks are launched on the vacated
multiprocessors.
A multiprocessor is designed to execute hundreds of threads concurrently. To manage
such a large amount of threads, it employs a unique architecture called SIMT (SingleInstruction, Multiple-Thread) that is described in SIMT Architecture. The instructions
are pipelined to leverage instruction-level parallelism within a single thread, as well as
thread-level parallelism extensively through simultaneous hardware multithreading
as detailed in Hardware Multithreading. Unlike CPU cores they are issued in order
however and there is no branch prediction and no speculative execution.
SIMT Architecture and Hardware Multithreading describe the architecture features of
the streaming multiprocessor that are common to all devices. Compute Capability 2.x,
Compute Capability 3.x, and Compute Capability 5.x provide the specifics for devices of
compute capabilities 2.x, 3.x, and 5.x, respectively.
The NVIDIA GPU architecture uses a little-endian representation.

4.1. SIMT Architecture
The multiprocessor creates, manages, schedules, and executes threads in groups of 32
parallel threads called warps. Individual threads composing a warp start together at
the same program address, but they have their own instruction address counter and
register state and are therefore free to branch and execute independently. The term warp
originates from weaving, the first parallel thread technology. A half-warp is either the
first or second half of a warp. A quarter-warp is either the first, second, third, or fourth
quarter of a warp.
When a multiprocessor is given one or more thread blocks to execute, it partitions
them into warps and each warp gets scheduled by a warp scheduler for execution. The

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way a block is partitioned into warps is always the same; each warp contains threads
of consecutive, increasing thread IDs with the first warp containing thread 0. Thread
Hierarchy describes how thread IDs relate to thread indices in the block.
A warp executes one common instruction at a time, so full efficiency is realized when
all 32 threads of a warp agree on their execution path. If threads of a warp diverge via a
data-dependent conditional branch, the warp serially executes each branch path taken,
disabling threads that are not on that path, and when all paths complete, the threads
converge back to the same execution path. Branch divergence occurs only within a
warp; different warps execute independently regardless of whether they are executing
common or disjoint code paths.
The SIMT architecture is akin to SIMD (Single Instruction, Multiple Data) vector
organizations in that a single instruction controls multiple processing elements. A key
difference is that SIMD vector organizations expose the SIMD width to the software,
whereas SIMT instructions specify the execution and branching behavior of a single
thread. In contrast with SIMD vector machines, SIMT enables programmers to write
thread-level parallel code for independent, scalar threads, as well as data-parallel code
for coordinated threads. For the purposes of correctness, the programmer can essentially
ignore the SIMT behavior; however, substantial performance improvements can be
realized by taking care that the code seldom requires threads in a warp to diverge. In
practice, this is analogous to the role of cache lines in traditional code: Cache line size
can be safely ignored when designing for correctness but must be considered in the code
structure when designing for peak performance. Vector architectures, on the other hand,
require the software to coalesce loads into vectors and manage divergence manually.
Notes
The threads of a warp that are on that warp's current execution path are called the active
threads, whereas threads not on the current path are inactive (disabled). Threads can be
inactive because they have exited earlier than other threads of their warp, or because
they are on a different branch path than the branch path currently executed by the warp,
or because they are the last threads of a block whose number of threads is not a multiple
of the warp size.
If a non-atomic instruction executed by a warp writes to the same location in global or
shared memory for more than one of the threads of the warp, the number of serialized
writes that occur to that location varies depending on the compute capability of the
device (see Compute Capability 2.x, Compute Capability 3.x, and Compute Capability
5.x), and which thread performs the final write is undefined.
If an atomic instruction executed by a warp reads, modifies, and writes to the same
location in global memory for more than one of the threads of the warp, each read/
modify/write to that location occurs and they are all serialized, but the order in which
they occur is undefined.

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4.2. Hardware Multithreading
The execution context (program counters, registers, etc.) for each warp processed by a
multiprocessor is maintained on-chip during the entire lifetime of the warp. Therefore,
switching from one execution context to another has no cost, and at every instruction
issue time, a warp scheduler selects a warp that has threads ready to execute its next
instruction (the active threads of the warp) and issues the instruction to those threads.
In particular, each multiprocessor has a set of 32-bit registers that are partitioned among
the warps, and a parallel data cache or shared memory that is partitioned among the thread
blocks.
The number of blocks and warps that can reside and be processed together on the
multiprocessor for a given kernel depends on the amount of registers and shared
memory used by the kernel and the amount of registers and shared memory available
on the multiprocessor. There are also a maximum number of resident blocks and a
maximum number of resident warps per multiprocessor. These limits as well the amount
of registers and shared memory available on the multiprocessor are a function of the
compute capability of the device and are given in Appendix Compute Capabilities. If
there are not enough registers or shared memory available per multiprocessor to process
at least one block, the kernel will fail to launch.
The total number of warps in a block is as follows:

‣
‣
‣

T is the number of threads per block,
Wsize is the warp size, which is equal to 32,
ceil(x, y) is equal to x rounded up to the nearest multiple of y.

The total number of registers and total amount of shared memory allocated for a block
are documented in the CUDA Occupancy Calculator provided in the CUDA Toolkit.

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Chapter 5.
PERFORMANCE GUIDELINES

5.1. Overall Performance Optimization Strategies
Performance optimization revolves around three basic strategies:
‣
‣
‣

Maximize parallel execution to achieve maximum utilization;
Optimize memory usage to achieve maximum memory throughput;
Optimize instruction usage to achieve maximum instruction throughput.

Which strategies will yield the best performance gain for a particular portion of an
application depends on the performance limiters for that portion; optimizing instruction
usage of a kernel that is mostly limited by memory accesses will not yield any significant
performance gain, for example. Optimization efforts should therefore be constantly
directed by measuring and monitoring the performance limiters, for example using the
CUDA profiler. Also, comparing the floating-point operation throughput or memory
throughput - whichever makes more sense - of a particular kernel to the corresponding
peak theoretical throughput of the device indicates how much room for improvement
there is for the kernel.

5.2. Maximize Utilization
To maximize utilization the application should be structured in a way that it exposes
as much parallelism as possible and efficiently maps this parallelism to the various
components of the system to keep them busy most of the time.

5.2.1. Application Level
At a high level, the application should maximize parallel execution between the host, the
devices, and the bus connecting the host to the devices, by using asynchronous functions
calls and streams as described in Asynchronous Concurrent Execution. It should assign
to each processor the type of work it does best: serial workloads to the host; parallel
workloads to the devices.

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For the parallel workloads, at points in the algorithm where parallelism is broken
because some threads need to synchronize in order to share data with each other,
there are two cases: Either these threads belong to the same block, in which case they
should use __syncthreads() and share data through shared memory within the same
kernel invocation, or they belong to different blocks, in which case they must share
data through global memory using two separate kernel invocations, one for writing to
and one for reading from global memory. The second case is much less optimal since it
adds the overhead of extra kernel invocations and global memory traffic. Its occurrence
should therefore be minimized by mapping the algorithm to the CUDA programming
model in such a way that the computations that require inter-thread communication are
performed within a single thread block as much as possible.

5.2.2. Device Level
At a lower level, the application should maximize parallel execution between the
multiprocessors of a device.
Multiple kernels can execute concurrently on a device, so maximum utilization can
also be achieved by using streams to enable enough kernels to execute concurrently as
described in Asynchronous Concurrent Execution.

5.2.3. Multiprocessor Level
At an even lower level, the application should maximize parallel execution between the
various functional units within a multiprocessor.
As described in Hardware Multithreading, a GPU multiprocessor relies on threadlevel parallelism to maximize utilization of its functional units. Utilization is therefore
directly linked to the number of resident warps. At every instruction issue time, a warp
scheduler selects a warp that is ready to execute its next instruction, if any, and issues
the instruction to the active threads of the warp. The number of clock cycles it takes for
a warp to be ready to execute its next instruction is called the latency, and full utilization
is achieved when all warp schedulers always have some instruction to issue for some
warp at every clock cycle during that latency period, or in other words, when latency is
completely "hidden". The number of instructions required to hide a latency of L clock
cycles depends on the respective throughputs of these instructions (see Arithmetic
Instructions for the throughputs of various arithmetic instructions); assuming maximum
throughput for all instructions, it is:
‣
‣
‣

L for devices of compute capability 2.0 since a multiprocessor issues one instruction
per warp over two clock cycles for two warps at a time, as mentioned in Compute
Capability 2.x,
2L for devices of compute capability 2.1 since a multiprocessor issues a pair of
instructions per warp over two clock cycles for two warps at a time, as mentioned in
Compute Capability 2.x,
8L for devices of compute capability 3.x since a multiprocessor issues a pair of
instructions per warp over one clock cycle for four warps at a time, as mentioned in
Compute Capability 3.x.

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For devices of compute capability 2.0, the two instructions issued every other cycle are
for two different warps. For devices of compute capability 2.1, the four instructions
issued every other cycle are two pairs for two different warps, each pair being for the
same warp.
For devices of compute capability 3.x, the eight instructions issued every cycle are four
pairs for four different warps, each pair being for the same warp.
The most common reason a warp is not ready to execute its next instruction is that the
instruction's input operands are not available yet.
If all input operands are registers, latency is caused by register dependencies, i.e., some
of the input operands are written by some previous instruction(s) whose execution has
not completed yet. In the case of a back-to-back register dependency (i.e., some input
operand is written by the previous instruction), the latency is equal to the execution
time of the previous instruction and the warp schedulers must schedule instructions for
different warps during that time. Execution time varies depending on the instruction,
but it is typically about 22 clock cycles for devices of compute capability 2.x and about
11 clock cycles for devices of compute capability 3.x, which translates to 22 warps for
devices of compute capability 2.x and 44 warps for devices of compute capability 3.x
and higher (still assuming that warps execute instructions with maximum throughput,
otherwise fewer warps are needed). For devices of compute capability 2.1 and higher,
this is also assuming enough instruction-level parallelism so that schedulers are always
able to issue pairs of instructions for each warp.
If some input operand resides in off-chip memory, the latency is much higher: 400
to 800 clock cycles for devices of compute capability 2.x and about 200 to 400 clock
cycles for devices of compute capability 3.x. The number of warps required to keep the
warp schedulers busy during such high latency periods depends on the kernel code
and its degree of instruction-level parallelism. In general, more warps are required
if the ratio of the number of instructions with no off-chip memory operands (i.e.,
arithmetic instructions most of the time) to the number of instructions with off-chip
memory operands is low (this ratio is commonly called the arithmetic intensity of the
program). For example, assume this ratio is 30, also assume the latencies are 600 cycles
on devices of compute capability 2.x and 300 cycles on devices of compute capability
3.x. Then about 20 warps are required for devices of compute capability 2.x and about
40 for devices of compute capability 3.x (with the same assumptions as in the previous
paragraph).
Another reason a warp is not ready to execute its next instruction is that it is waiting
at some memory fence (Memory Fence Functions) or synchronization point (Memory
Fence Functions). A synchronization point can force the multiprocessor to idle as
more and more warps wait for other warps in the same block to complete execution of
instructions prior to the synchronization point. Having multiple resident blocks per
multiprocessor can help reduce idling in this case, as warps from different blocks do not
need to wait for each other at synchronization points.
The number of blocks and warps residing on each multiprocessor for a given kernel
call depends on the execution configuration of the call (Execution Configuration), the
memory resources of the multiprocessor, and the resource requirements of the kernel as
described in Hardware Multithreading. Register and shared memory usage are reported
by the compiler when compiling with the -ptxas-options=-v option.

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The total amount of shared memory required for a block is equal to the sum of the
amount of statically allocated shared memory and the amount of dynamically allocated
shared memory.
The number of registers used by a kernel can have a significant impact on the number
of resident warps. For example, for devices of compute capability 2.x, if a kernel uses
32 registers and each block has 512 threads and requires very little shared memory,
then two blocks (i.e., 32 warps) can reside on the multiprocessor since they require
2x512x32 registers, which exactly matches the number of registers available on the
multiprocessor. But as soon as the kernel uses one more register, only one block (i.e.,
16 warps) can be resident since two blocks would require 2x512x17 registers, which are
more registers than are available on the multiprocessor. Therefore, the compiler attempts
to minimize register usage while keeping register spilling (see Device Memory Accesses)
and the number of instructions to a minimum. Register usage can be controlled using
the maxrregcount compiler option or launch bounds as described in Launch Bounds.
Each double variable and each long long variable uses two registers.

The effect of execution configuration on performance for a given kernel call generally
depends on the kernel code. Experimentation is therefore recommended. Applications
can also parameterize execution configurations based on register file size and shared
memory size, which depends on the compute capability of the device, as well as on the
number of multiprocessors and memory bandwidth of the device, all of which can be
queried using the runtime (see reference manual).
The number of threads per block should be chosen as a multiple of the warp size to
avoid wasting computing resources with under-populated warps as much as possible.

5.2.3.1. Occupancy Calculator
Several API functions exist to assist programmers in choosing thread block size based on
register and shared memory requirements.
‣

The occupancy calculator API,
cudaOccupancyMaxActiveBlocksPerMultiprocessor, can provide an
occupancy prediction based on the block size and shared memory usage of a kernel.
This function reports occupancy in terms of the number of concurrent thread blocks
per multiprocessor.
‣

‣

Note that this value can be converted to other metrics. Multiplying by
the number of warps per block yields the number of concurrent warps
per multiprocessor; further dividing concurrent warps by max warps per
multiprocessor gives the occupancy as a percentage.
The occupancy-based launch configurator APIs,
cudaOccupancyMaxPotentialBlockSize and
cudaOccupancyMaxPotentialBlockSizeVariableSMem, heuristically calculate
an execution configuration that achieves the maximum multiprocessor-level
occupancy.

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The following code sample calculates the occupancy of MyKernel. It then reports the
occupancy level with the ratio between concurrent warps versus maximum warps per
multiprocessor.
// Device code
__global__ void MyKernel(int *d, int *a, int *b)
{
int idx = threadIdx.x + blockIdx.x * blockDim.x;
d[idx] = a[idx] * b[idx];
}
// Host code
int main()
{
int numBlocks;
int blockSize = 32;

// Occupancy in terms of active blocks

// These variables are used to convert occupancy to warps
int device;
cudaDeviceProp prop;
int activeWarps;
int maxWarps;
cudaGetDevice(&device);
cudaGetDeviceProperties(&prop, device);
cudaOccupancyMaxActiveBlocksPerMultiprocessor(
&numBlocks,
MyKernel,
blockSize,
0);
activeWarps = numBlocks * blockSize / prop.warpSize;
maxWarps = prop.maxThreadsPerMultiProcessor / prop.warpSize;
std::cout << "Occupancy: " << (double)activeWarps / maxWarps * 100 << "%" <<
std::endl;
}

return 0;

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The following code sample configures an occupancy-based kernel launch of MyKernel
according to the user input.
// Device code
__global__ void MyKernel(int *array, int arrayCount)
{
int idx = threadIdx.x + blockIdx.x * blockDim.x;
if (idx < arrayCount) {
array[idx] *= array[idx];
}
}
// Host code
int launchMyKernel(int *array, int arrayCount)
{
int blockSize;
// The launch configurator returned block size
int minGridSize;
// The minimum grid size needed to achieve the
// maximum occupancy for a full device
// launch
int gridSize;
// The actual grid size needed, based on input
// size
cudaOccupancyMaxPotentialBlockSize(
&minGridSize,
&blockSize,
(void*)MyKernel,
0,
arrayCount);
// Round up according to array size
gridSize = (arrayCount + blockSize - 1) / blockSize;
MyKernel<<>>(array, arrayCount);
cudaDeviceSynchronize();
// If interested, the occupancy can be calculated with
// cudaOccupancyMaxActiveBlocksPerMultiprocessor
}

return 0;

The CUDA Toolkit also provides a self-documenting, standalone occupancy calculator
and launch configurator implementation in /include/
cuda_occupancy.h for any use cases that cannot depend on the CUDA software stack.
A spreadsheet version of the occupancy calculator is also provided. The spreadsheet
version is particularly useful as a learning tool that visualizes the impact of changes
to the parameters that affect occupancy (block size, registers per thread, and shared
memory per thread).

5.3. Maximize Memory Throughput
The first step in maximizing overall memory throughput for the application is to
minimize data transfers with low bandwidth.
That means minimizing data transfers between the host and the device, as detailed in
Data Transfer between Host and Device, since these have much lower bandwidth than
data transfers between global memory and the device.
That also means minimizing data transfers between global memory and the device by
maximizing use of on-chip memory: shared memory and caches (i.e., L1 cache available

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on devices of compute capability 2.x and 3.x, L2 cache available on devices of compute
capability 2.x and higher, texture cache and constant cache available on all devices).
Shared memory is equivalent to a user-managed cache: The application explicitly
allocates and accesses it. As illustrated in CUDA C Runtime, a typical programming
pattern is to stage data coming from device memory into shared memory; in other
words, to have each thread of a block:
‣
‣
‣
‣
‣

Load data from device memory to shared memory,
Synchronize with all the other threads of the block so that each thread can safely
read shared memory locations that were populated by different threads,
Process the data in shared memory,
Synchronize again if necessary to make sure that shared memory has been updated
with the results,
Write the results back to device memory.

For some applications (e.g., for which global memory access patterns are datadependent), a traditional hardware-managed cache is more appropriate to exploit data
locality. As mentioned in Compute Capability 2.x and Compute Capability 3.x, for
devices of compute capability 2.x and 3.x, the same on-chip memory is used for both L1
and shared memory, and how much of it is dedicated to L1 versus shared memory is
configurable for each kernel call.
The throughput of memory accesses by a kernel can vary by an order of magnitude
depending on access pattern for each type of memory. The next step in maximizing
memory throughput is therefore to organize memory accesses as optimally as possible
based on the optimal memory access patterns described in Device Memory Accesses.
This optimization is especially important for global memory accesses as global memory
bandwidth is low, so non-optimal global memory accesses have a higher impact on
performance.

5.3.1. Data Transfer between Host and Device
Applications should strive to minimize data transfer between the host and the device.
One way to accomplish this is to move more code from the host to the device, even
if that means running kernels with low parallelism computations. Intermediate data
structures may be created in device memory, operated on by the device, and destroyed
without ever being mapped by the host or copied to host memory.
Also, because of the overhead associated with each transfer, batching many small
transfers into a single large transfer always performs better than making each transfer
separately.
On systems with a front-side bus, higher performance for data transfers between host
and device is achieved by using page-locked host memory as described in Page-Locked
Host Memory.
In addition, when using mapped page-locked memory (Mapped Memory), there is
no need to allocate any device memory and explicitly copy data between device and
host memory. Data transfers are implicitly performed each time the kernel accesses the
mapped memory. For maximum performance, these memory accesses must be coalesced
as with accesses to global memory (see Device Memory Accesses). Assuming that they

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are and that the mapped memory is read or written only once, using mapped pagelocked memory instead of explicit copies between device and host memory can be a win
for performance.
On integrated systems where device memory and host memory are physically the same,
any copy between host and device memory is superfluous and mapped page-locked
memory should be used instead. Applications may query a device is integrated by
checking that the integrated device property (see Device Enumeration) is equal to 1.

5.3.2. Device Memory Accesses
An instruction that accesses addressable memory (i.e., global, local, shared, constant,
or texture memory) might need to be re-issued multiple times depending on the
distribution of the memory addresses across the threads within the warp. How the
distribution affects the instruction throughput this way is specific to each type of
memory and described in the following sections. For example, for global memory, as a
general rule, the more scattered the addresses are, the more reduced the throughput is.
Global Memory
Global memory resides in device memory and device memory is accessed via 32-, 64-,
or 128-byte memory transactions. These memory transactions must be naturally aligned:
Only the 32-, 64-, or 128-byte segments of device memory that are aligned to their size
(i.e., whose first address is a multiple of their size) can be read or written by memory
transactions.
When a warp executes an instruction that accesses global memory, it coalesces the
memory accesses of the threads within the warp into one or more of these memory
transactions depending on the size of the word accessed by each thread and the
distribution of the memory addresses across the threads. In general, the more
transactions are necessary, the more unused words are transferred in addition to the
words accessed by the threads, reducing the instruction throughput accordingly. For
example, if a 32-byte memory transaction is generated for each thread's 4-byte access,
throughput is divided by 8.
How many transactions are necessary and how much throughput is ultimately affected
varies with the compute capability of the device. Compute Capability 2.x, Compute
Capability 3.x, and Compute Capability 5.x give more details on how global memory
accesses are handled for various compute capabilities.
To maximize global memory throughput, it is therefore important to maximize
coalescing by:
‣
‣

Following the most optimal access patterns based on Compute Capability 2.x and
Compute Capability 3.x,
Using data types that meet the size and alignment requirement detailed in Device
Memory Accesses,

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‣

Padding data in some cases, for example, when accessing a two-dimensional array
as described in Device Memory Accesses.

Size and Alignment Requirement
Global memory instructions support reading or writing words of size equal to 1, 2, 4, 8,
or 16 bytes. Any access (via a variable or a pointer) to data residing in global memory
compiles to a single global memory instruction if and only if the size of the data type
is 1, 2, 4, 8, or 16 bytes and the data is naturally aligned (i.e., its address is a multiple of
that size).
If this size and alignment requirement is not fulfilled, the access compiles to multiple
instructions with interleaved access patterns that prevent these instructions from fully
coalescing. It is therefore recommended to use types that meet this requirement for data
that resides in global memory.
The alignment requirement is automatically fulfilled for the built-in types of char, short,
int, long, longlong, float, double like float2 or float4.
For structures, the size and alignment requirements can be enforced by the compiler
using the alignment specifiers __align__(8) or __align__(16), such as
struct __align__(8) {
float x;
float y;
};

or
struct __align__(16) {
float x;
float y;
float z;
};

Any address of a variable residing in global memory or returned by one of the memory
allocation routines from the driver or runtime API is always aligned to at least 256 bytes.
Reading non-naturally aligned 8-byte or 16-byte words produces incorrect results (off by
a few words), so special care must be taken to maintain alignment of the starting address
of any value or array of values of these types. A typical case where this might be easily
overlooked is when using some custom global memory allocation scheme, whereby the
allocations of multiple arrays (with multiple calls to cudaMalloc() or cuMemAlloc())
is replaced by the allocation of a single large block of memory partitioned into multiple
arrays, in which case the starting address of each array is offset from the block's starting
address.
Two-Dimensional Arrays
A common global memory access pattern is when each thread of index (tx,ty) uses the
following address to access one element of a 2D array of width width, located at address

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BaseAddress of type type* (where type meets the requirement described in Maximize
Utilization):
BaseAddress + width * ty + tx

For these accesses to be fully coalesced, both the width of the thread block and the width
of the array must be a multiple of the warp size.
In particular, this means that an array whose width is not a multiple of this size will be
accessed much more efficiently if it is actually allocated with a width rounded up to the
closest multiple of this size and its rows padded accordingly. The cudaMallocPitch()
and cuMemAllocPitch() functions and associated memory copy functions described in
the reference manual enable programmers to write non-hardware-dependent code to
allocate arrays that conform to these constraints.
Local Memory
Local memory accesses only occur for some automatic variables as mentioned in
Variable Type Qualifiers. Automatic variables that the compiler is likely to place in local
memory are:
‣
‣
‣

Arrays for which it cannot determine that they are indexed with constant quantities,
Large structures or arrays that would consume too much register space,
Any variable if the kernel uses more registers than available (this is also known as
register spilling).

Inspection of the PTX assembly code (obtained by compiling with the -ptx orkeep option) will tell if a variable has been placed in local memory during the first
compilation phases as it will be declared using the .local mnemonic and accessed
using the ld.local and st.local mnemonics. Even if it has not, subsequent
compilation phases might still decide otherwise though if they find it consumes too
much register space for the targeted architecture: Inspection of the cubin object using
cuobjdump will tell if this is the case. Also, the compiler reports total local memory
usage per kernel (lmem) when compiling with the --ptxas-options=-v option. Note
that some mathematical functions have implementation paths that might access local
memory.
The local memory space resides in device memory, so local memory accesses have
same high latency and low bandwidth as global memory accesses and are subject to the
same requirements for memory coalescing as described in Device Memory Accesses.
Local memory is however organized such that consecutive 32-bit words are accessed
by consecutive thread IDs. Accesses are therefore fully coalesced as long as all threads
in a warp access the same relative address (e.g., same index in an array variable, same
member in a structure variable).
On devices of compute capability 2.x and 3.x, local memory accesses are always cached
in L1 and L2 in the same way as global memory accesses (see Compute Capability 2.x
and Compute Capability 3.x).

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On devices of compute capability 5.x, local memory accesses are always cached in L2 in
the same way as global memory accesses (see Compute Capability 5.x).
Shared Memory
Because it is on-chip, shared memory has much higher bandwidth and much lower
latency than local or global memory.
To achieve high bandwidth, shared memory is divided into equally-sized memory
modules, called banks, which can be accessed simultaneously. Any memory read or
write request made of n addresses that fall in n distinct memory banks can therefore be
serviced simultaneously, yielding an overall bandwidth that is n times as high as the
bandwidth of a single module.
However, if two addresses of a memory request fall in the same memory bank, there is a
bank conflict and the access has to be serialized. The hardware splits a memory request
with bank conflicts into as many separate conflict-free requests as necessary, decreasing
throughput by a factor equal to the number of separate memory requests. If the number
of separate memory requests is n, the initial memory request is said to cause n-way bank
conflicts.
To get maximum performance, it is therefore important to understand how memory
addresses map to memory banks in order to schedule the memory requests so as
to minimize bank conflicts. This is described in Compute Capability 2.x, Compute
Capability 3.x, and Compute Capability 5.x for devices of compute capability 2.x, 3.x,
and 5.x, respectively.
Constant Memory
The constant memory space resides in device memory and is cached in the constant
cache mentioned in Compute Capability 2.x.
A request is then split into as many separate requests as there are different memory
addresses in the initial request, decreasing throughput by a factor equal to the number
of separate requests.
The resulting requests are then serviced at the throughput of the constant cache in case
of a cache hit, or at the throughput of device memory otherwise.
Texture and Surface Memory
The texture and surface memory spaces reside in device memory and are cached in
texture cache, so a texture fetch or surface read costs one memory read from device
memory only on a cache miss, otherwise it just costs one read from texture cache. The
texture cache is optimized for 2D spatial locality, so threads of the same warp that read
texture or surface addresses that are close together in 2D will achieve best performance.
Also, it is designed for streaming fetches with a constant latency; a cache hit reduces
DRAM bandwidth demand but not fetch latency.

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Reading device memory through texture or surface fetching present some benefits
that can make it an advantageous alternative to reading device memory from global or
constant memory:
‣

‣
‣
‣

If the memory reads do not follow the access patterns that global or constant
memory reads must follow to get good performance, higher bandwidth can be
achieved providing that there is locality in the texture fetches or surface reads;
Addressing calculations are performed outside the kernel by dedicated units;
Packed data may be broadcast to separate variables in a single operation;
8-bit and 16-bit integer input data may be optionally converted to 32 bit floatingpoint values in the range [0.0, 1.0] or [-1.0, 1.0] (see Texture Memory).

5.4. Maximize Instruction Throughput
To maximize instruction throughput the application should:
‣

‣
‣

Minimize the use of arithmetic instructions with low throughput; this includes
trading precision for speed when it does not affect the end result, such as using
intrinsic instead of regular functions (intrinsic functions are listed in Intrinsic
Functions), single-precision instead of double-precision, or flushing denormalized
numbers to zero;
Minimize divergent warps caused by control flow instructions as detailed in Control
Flow Instructions
Reduce the number of instructions, for example, by optimizing out synchronization
points whenever possible as described in Synchronization Instruction or by using
restricted pointers as described in __restrict__.

In this section, throughputs are given in number of operations per clock cycle per
multiprocessor. For a warp size of 32, one instruction corresponds to 32 operations,
so if N is the number of operations per clock cycle, the instruction throughput is N/32
instructions per clock cycle.
All throughputs are for one multiprocessor. They must be multiplied by the number of
multiprocessors in the device to get throughput for the whole device.

5.4.1. Arithmetic Instructions
Table 2 gives the throughputs of the arithmetic instructions that are natively supported
in hardware for devices of various compute capabilities.

Table 2 Throughput of Native Arithmetic Instructions
(Number of Operations per Clock Cycle per Multiprocessor)

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Compute Capability
2.0

2.1

3.0, 3.2

3.5, 3.7

5.0, 5.2

5.3

16-bit floating-point
add, multiply, multiplyadd

N/A

N/A

N/A

N/A

N/A

256

32-bit floating-point
add, multiply, multiplyadd

32

48

192

192

128

128

64-bit floating-point
add, multiply, multiplyadd

16

4

8

64

4

4

32-bit floating-point
reciprocal, reciprocal
square root, base-2
logarithm (__log2f),
base 2 exponential
(exp2f), sine (__sinf),
cosine (__cosf)

4

8

32

32

32

32

32-bit integer add,
extended-precision add,
subtract, extendedprecision subtract

32

48

160

160

128

128

32-bit integer multiply,
multiply-add, extendedprecision multiply-add

16

16

32

32

24-bit integer multiply
(__[u]mul24)

1

2

Multiple
Multiple
instructions instructions

Multiple
Multiple
Multiple
Multiple
Multiple
Multiple
instructions instructions instructions instructions instructions instructions

32-bit integer shift

16

16

32

64

3

64

64

compare, minimum,
maximum

32

48

160

160

64

64

32-bit integer bit
reverse, bit field
extract/insert

16

16

32

32

64

64

32-bit bitwise AND, OR,
XOR

32

48

160

160

128

128

count of leading zeros,
most significant nonsign bit

16

16

32

32

population count

16

16

32

32

32

32

N/A

N/A

32

32

32

32

16

16

32

32

64

64

N/A

N/A

160

160

warp shuffle
sum of absolute
difference
SIMD video instructions
vabsdiff2
1
2
3

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Multiple
instructions instructions

Multiple
Multiple
instructions instructions

4 for GeForce GPUs
8 for GeForce GPUs
32 for GeForce GPUs

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Compute Capability
2.0

2.1

3.0, 3.2

3.5, 3.7

N/A

N/A

160

160

Multiple
Multiple
instructions instructions

All other SIMD video
instructions

16

16

32

32

Multiple
Multiple
instructions instructions

Type conversions from
8-bit and 16-bit integer
to 32-bit types

16

16

128

128

Type conversions from
and to 64-bit types

16

4

8

32

All other type
conversions

16

16

32

32

SIMD video instructions
vabsdiff4

4

5

5.0, 5.2

5.3

32

32

4

4

32

32

Other instructions and functions are implemented on top of the native instructions.
The implementation may be different for devices of different compute capabilities, and
the number of native instructions after compilation may fluctuate with every compiler
version. For complicated functions, there can be multiple code paths depending on
input. cuobjdump can be used to inspect a particular implementation in a cubin object.
The implementation of some functions are readily available on the CUDA header files
(math_functions.h, device_functions.h, ...).

In general, code compiled with -ftz=true (denormalized numbers are flushed to zero)
tends to have higher performance than code compiled with -ftz=false. Similarly,
code compiled with -prec div=false (less precise division) tends to have higher
performance code than code compiled with -prec div=true, and code compiled
with -prec-sqrt=false (less precise square root) tends to have higher performance
than code compiled with -prec-sqrt=true. The nvcc user manual describes these
compilation flags in more details.
Single-Precision Floating-Point Division
__fdividef(x, y) (see Intrinsic Functions) provides faster single-precision floating-

point division than the division operator.

Single-Precision Floating-Point Reciprocal Square Root
To preserve IEEE-754 semantics the compiler can optimize 1.0/sqrtf() into rsqrtf()
only when both reciprocal and square root are approximate, (i.e., with -precdiv=false and -prec-sqrt=false). It is therefore recommended to invoke rsqrtf()
directly where desired.

4
5

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Single-Precision Floating-Point Square Root
Single-precision floating-point square root is implemented as a reciprocal square root
followed by a reciprocal instead of a reciprocal square root followed by a multiplication
so that it gives correct results for 0 and infinity.
Sine and Cosine
sinf(x), cosf(x), tanf(x), sincosf(x), and corresponding double-precision

instructions are much more expensive and even more so if the argument x is large in
magnitude.
More precisely, the argument reduction code (see Mathematical Functions for
implementation) comprises two code paths referred to as the fast path and the slow
path, respectively.
The fast path is used for arguments sufficiently small in magnitude and essentially
consists of a few multiply-add operations. The slow path is used for arguments large in
magnitude and consists of lengthy computations required to achieve correct results over
the entire argument range.
At present, the argument reduction code for the trigonometric functions selects the fast
path for arguments whose magnitude is less than 105615.0f for the single-precision
functions, and less than 2147483648.0 for the double-precision functions.
As the slow path requires more registers than the fast path, an attempt has been made
to reduce register pressure in the slow path by storing some intermediate variables in
local memory, which may affect performance because of local memory high latency and
bandwidth (see Device Memory Accesses). At present, 28 bytes of local memory are
used by single-precision functions, and 44 bytes are used by double-precision functions.
However, the exact amount is subject to change.
Due to the lengthy computations and use of local memory in the slow path, the
throughput of these trigonometric functions is lower by one order of magnitude when
the slow path reduction is required as opposed to the fast path reduction.
Integer Arithmetic
Integer division and modulo operation are costly as they compiler to up to 20
instructions. They can be replaced with bitwise operations in some cases: If n is a power
of 2, (i/n) is equivalent to (i>>log2(n)) and (i%n) is equivalent to (i&(n-1)); the
compiler will perform these conversions if n is literal.
__brev and __popc map to a single instruction and __brevll and __popcll to a few

instructions.

__[u]mul24 are legacy intrinsic functions that have no longer any reason to be used.

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Type Conversion
Sometimes, the compiler must insert conversion instructions, introducing additional
execution cycles. This is the case for:
‣
‣

Functions operating on variables of type char or short whose operands generally
need to be converted to int,
Double-precision floating-point constants (i.e., those constants defined without
any type suffix) used as input to single-precision floating-point computations (as
mandated by C/C++ standards).

This last case can be avoided by using single-precision floating-point constants, defined
with an f suffix such as 3.141592653589793f, 1.0f, 0.5f.

5.4.2. Control Flow Instructions
Any flow control instruction (if, switch, do, for, while) can significantly impact the
effective instruction throughput by causing threads of the same warp to diverge (i.e., to
follow different execution paths). If this happens, the different executions paths have to
be serialized, increasing the total number of instructions executed for this warp. When
all the different execution paths have completed, the threads converge back to the same
execution path.
To obtain best performance in cases where the control flow depends on the thread
ID, the controlling condition should be written so as to minimize the number of
divergent warps. This is possible because the distribution of the warps across the block
is deterministic as mentioned in SIMT Architecture. A trivial example is when the
controlling condition only depends on (threadIdx / warpSize) where warpSize is
the warp size. In this case, no warp diverges since the controlling condition is perfectly
aligned with the warps.
Sometimes, the compiler may unroll loops or it may optimize out if or switch
statements by using branch predication instead, as detailed below. In these cases, no
warp can ever diverge. The programmer can also control loop unrolling using the
#pragma unroll directive (see #pragma unroll).
When using branch predication none of the instructions whose execution depends on
the controlling condition gets skipped. Instead, each of them is associated with a perthread condition code or predicate that is set to true or false based on the controlling
condition and although each of these instructions gets scheduled for execution, only
the instructions with a true predicate are actually executed. Instructions with a false
predicate do not write results, and also do not evaluate addresses or read operands.
The compiler replaces a branch instruction with predicated instructions only if the
number of instructions controlled by the branch condition is less or equal to a certain
threshold: If the compiler determines that the condition is likely to produce many
divergent warps, this threshold is 7, otherwise it is 4.

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5.4.3. Synchronization Instruction
Throughput for __syncthreads() is 16 operations per clock cycle for devices of
compute capability 2.x and 128 operations per clock cycle for devices of compute
capability 3.x.
Note that __syncthreads() can impact performance by forcing the multiprocessor to
idle as detailed in Device Memory Accesses.

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Appendix A.
CUDA-ENABLED GPUS

http://developer.nvidia.com/cuda-gpus lists all CUDA-enabled devices with their
compute capability.
The compute capability, number of multiprocessors, clock frequency, total amount of
device memory, and other properties can be queried using the runtime (see reference
manual).

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Appendix B.
C LANGUAGE EXTENSIONS

B.1. Function Type Qualifiers
Function type qualifiers specify whether a function executes on the host or on the device
and whether it is callable from the host or from the device.

B.1.1. __device__
The __device__ qualifier declares a function that is:
‣
‣

Executed on the device,
Callable from the device only.

B.1.2. __global__
The __global__ qualifier declares a function as being a kernel. Such a function is:
‣
‣
‣

Executed on the device,
Callable from the host,
Callable from the device for devices of compute capability 3.x (see CUDA Dynamic
Parallelism for more details).

__global__ functions must have void return type.

Any call to a __global__ function must specify its execution configuration as described
in Execution Configuration.
A call to a __global__ function is asynchronous, meaning it returns before the device
has completed its execution.

B.1.3. __host__
The __host__ qualifier declares a function that is:

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‣
‣

Executed on the host,
Callable from the host only.

It is equivalent to declare a function with only the __host__ qualifier or to declare it
without any of the __host__, __device__, or __global__ qualifier; in either case the
function is compiled for the host only.
The __global__ and __host__ qualifiers cannot be used together.
The __device__ and __host__ qualifiers can be used together however, in which case
the function is compiled for both the host and the device. The __CUDA_ARCH__ macro
introduced in Application Compatibility can be used to differentiate code paths between
host and device:
__host__ __device__ func()
{
#if __CUDA_ARCH__ >= 500
// Device code path for compute capability 5.x
#elif __CUDA_ARCH__ >= 300
// Device code path for compute capability 3.x
#elif __CUDA_ARCH__ >= 200
// Device code path for compute capability 2.x
#elif !defined(__CUDA_ARCH__)
// Host code path
#endif
}

B.1.4. __noinline__ and __forceinline__
The compiler inlines any __device__ function when deemed appropriate.
The __noinline__ function qualifier can be used as a hint for the compiler not to inline
the function if possible. The function body must still be in the same file where it is called.
The __forceinline__ function qualifier can be used to force the compiler to inline the
function.

B.2. Variable Type Qualifiers
Variable type qualifiers specify the memory location on the device of a variable.
An automatic variable declared in device code without any of the __device__,
__shared__ and __constant__ qualifiers described in this section generally resides in
a register. However in some cases the compiler might choose to place it in local memory,
which can have adverse performance consequences as detailed in Device Memory
Accesses.

B.2.1. __device__
The __device__ qualifier declares a variable that resides on the device.

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At most one of the other type qualifiers defined in the next two sections may be used
together with __device__ to further specify which memory space the variable belongs
to. If none of them is present, the variable:
‣
‣
‣

Resides in global memory space.
Has the lifetime of an application.
Is accessible from all the threads within the grid and from the host through
the runtime library (cudaGetSymbolAddress() / cudaGetSymbolSize() /
cudaMemcpyToSymbol() / cudaMemcpyFromSymbol()).

B.2.2. __constant__
The __constant__ qualifier, optionally used together with __device__, declares a
variable that:
‣
‣
‣

Resides in constant memory space,
Has the lifetime of an application,
Is accessible from all the threads within the grid and from the host through
the runtime library (cudaGetSymbolAddress() / cudaGetSymbolSize() /
cudaMemcpyToSymbol() / cudaMemcpyFromSymbol()).

B.2.3. __shared__
The __shared__ qualifier, optionally used together with __device__, declares a
variable that:
‣
‣
‣

Resides in the shared memory space of a thread block,
Has the lifetime of the block,
Is only accessible from all the threads within the block.

When declaring a variable in shared memory as an external array such as
extern __shared__ float shared[];

the size of the array is determined at launch time (see Execution Configuration). All
variables declared in this fashion, start at the same address in memory, so that the layout
of the variables in the array must be explicitly managed through offsets. For example, if
one wants the equivalent of
short array0[128];
float array1[64];
int
array2[256];

in dynamically allocated shared memory, one could declare and initialize the arrays the
following way:
extern __shared__ float array[];
__device__ void func()
// __device__ or __global__ function
{
short* array0 = (short*)array;
float* array1 = (float*)&array0[128];
int*
array2 =
(int*)&array1[64];
}

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Note that pointers need to be aligned to the type they point to, so the following code, for
example, does not work since array1 is not aligned to 4 bytes.
extern __shared__ float array[];
__device__ void func()
// __device__ or __global__ function
{
short* array0 = (short*)array;
float* array1 = (float*)&array0[127];
}

Alignment requirements for the built-in vector types are listed in Table 3.

B.2.4. __managed__
The __managed__ qualifier, optionally used together with __device__, declares a
variable that:
‣
‣

Can be referenced from both device and host code, e.g., its address can be taken or it
can be read or written directly from a device or host function.
Has the lifetime of an application.

See __managed__ Qualifier for more details.

B.2.5. __restrict__
nvcc supports restricted pointers via the __restrict__ keyword.

Restricted pointers were introduced in C99 to alleviate the aliasing problem that exists in
C-type languages, and which inhibits all kind of optimization from code re-ordering to
common sub-expression elimination.
Here is an example subject to the aliasing issue, where use of restricted pointer can help
the compiler to reduce the number of instructions:
void foo(const float* a,
const float* b,
float* c)
{
c[0] = a[0] * b[0];
c[1] = a[0] * b[0];
c[2] = a[0] * b[0] * a[1];
c[3] = a[0] * a[1];
c[4] = a[0] * b[0];
c[5] = b[0];
...
}

In C-type languages, the pointers a, b, and c may be aliased, so any write through c
could modify elements of a or b. This means that to guarantee functional correctness, the
compiler cannot load a[0] and b[0] into registers, multiply them, and store the result
to both c[0] and c[1], because the results would differ from the abstract execution
model if, say, a[0] is really the same location as c[0]. So the compiler cannot take
advantage of the common sub-expression. Likewise, the compiler cannot just reorder the
computation of c[4] into the proximity of the computation of c[0] and c[1] because
the preceding write to c[3] could change the inputs to the computation of c[4].

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By making a, b, and c restricted pointers, the programmer asserts to the compiler that
the pointers are in fact not aliased, which in this case means writes through c would
never overwrite elements of a or b. This changes the function prototype as follows:
void foo(const float* __restrict__ a,
const float* __restrict__ b,
float* __restrict__ c);

Note that all pointer arguments need to be made restricted for the compiler optimizer
to derive any benefit. With the __restrict__ keywords added, the compiler can now
reorder and do common sub-expression elimination at will, while retaining functionality
identical with the abstract execution model:
void foo(const float* __restrict__ a,
const float* __restrict__ b,
float* __restrict__ c)
{
float t0 = a[0];
float t1 = b[0];
float t2 = t0 * t2;
float t3 = a[1];
c[0] = t2;
c[1] = t2;
c[4] = t2;
c[2] = t2 * t3;
c[3] = t0 * t3;
c[5] = t1;
...
}

The effects here are a reduced number of memory accesses and reduced number of
computations. This is balanced by an increase in register pressure due to "cached" loads
and common sub-expressions.
Since register pressure is a critical issue in many CUDA codes, use of restricted pointers
can have negative performance impact on CUDA code, due to reduced occupancy.

B.3. Built-in Vector Types
B.3.1. char, short, int, long, longlong, float, double
These are vector types derived from the basic integer and floating-point types. They
are structures and the 1st, 2nd, 3rd, and 4th components are accessible through the
fields x, y, z, and w, respectively. They all come with a constructor function of the form
make_; for example,
int2 make_int2(int x, int y);

which creates a vector of type int2 with value(x, y).
In host code, the alignment requirement of a vector type is equal to the alignment
requirement of its base type. This is not always the case in device code as detailed in
Table 3.

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Table 3 Alignment Requirements in Device Code
Type

Alignment

char1, uchar1

1

char2, uchar2

2

char3, uchar3

1

char4, uchar4

4

short1, ushort1

2

short2, ushort2

4

short3, ushort3

2

short4, ushort4

8

int1, uint1

4

int2, uint2

8

int3, uint3

4

int4, uint4

16

long1, ulong1

4 if sizeof(long) is equal to sizeof(int) 8, otherwise

long2, ulong2

8 if sizeof(long) is equal to sizeof(int), 16, otherwise

long3, ulong3

4 if sizeof(long) is equal to sizeof(int), 8, otherwise

long4, ulong4

16

longlong1, ulonglong1

8

longlong2, ulonglong2

16

float1

4

float2

8

float3

4

float4

16

double1

8

double2

16

B.3.2. dim3
This type is an integer vector type based on uint3 that is used to specify dimensions.
When defining a variable of type dim3, any component left unspecified is initialized to 1.

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B.4. Built-in Variables
Built-in variables specify the grid and block dimensions and the block and thread
indices. They are only valid within functions that are executed on the device.

B.4.1. gridDim
This variable is of type dim3 (see dim3) and contains the dimensions of the grid.

B.4.2. blockIdx
This variable is of type uint3 (see char, short, int, long, longlong, float, double) and
contains the block index within the grid.

B.4.3. blockDim
This variable is of type dim3 (see dim3) and contains the dimensions of the block.

B.4.4. threadIdx
This variable is of type uint3 (see char, short, int, long, longlong, float, double ) and
contains the thread index within the block.

B.4.5. warpSize
This variable is of type int and contains the warp size in threads (see SIMT Architecture
for the definition of a warp).

B.5. Memory Fence Functions
The CUDA programming model assumes a device with a weakly-ordered memory
model, that is:
‣

‣

The order in which a CUDA thread writes data to shared memory, global memory,
page-locked host memory, or the memory of a peer device is not necessarily the
order in which the data is observed being written by another CUDA or host thread;
The order in which a CUDA thread reads data from shared memory, global memory,
page-locked host memory, or the memory of a peer device is not necessarily the
order in which the read instructions appear in the program for instructions that are
independent of each other.

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For example, if thread 1 executes writeXY() and thread 2 executes readXY() as
defined in the following code sample
__device__ volatile int X = 1, Y = 2;
__device__ void writeXY()
{
X = 10;
Y = 20;
}
__device__ void readXY()
{
int A = X;
int B = Y;
}

it is possible that B ends up equal to 2 and A equal to 10 for thread 2:
‣
‣

either because at the time thread 2 reads X and Y, thread 1's write to X has happened
from thread 2's perspective, but thread 1's write to Y has not,
or because thread 2 reads Y before X and thread 1's writes to X and Y happen after
thread 2's read of Y and before thread 2's read of X.

In a strongly-ordered memory model, the only possibilities would be:
‣
‣
‣

A equal to 1 and B equal to 2 (thread 1's writes to X and Y happen after thread 2's
read of X and Y),

A equal to 10 and B equal to 2 (thread 1's write to X happens before thread 2's read of
X and thread 1's write to Y happens after thread 2's read of Y),
A equal to 10 and B equal to 20 (thread 1's writes to X and Y happen before thread 2's
read of X and Y),

Memory fence functions can be used to enforce some ordering.
void __threadfence_block();

ensures that:
‣

‣

All writes to shared and global memory made by the calling thread before the call
to __threadfence_block() are observed by all threads in the block of the calling
thread as occurring before all writes to shared memory and global memory made by
the calling thread after the call to __threadfence_block();
All reads from shared memory and global memory made by the calling thread
before the call to __threadfence_block() are performed before all reads from
shared memory and global memory made by the calling thread after the call to
__threadfence_block().

void __threadfence();

acts as __threadfence_block() for all threads in the block of the calling thread and
also ensures that no writes to global memory made by the calling thread after the call
to __threadfence() are observed by any thread in the device as occurring before any
write to global memory made by the calling thread before the call to __threadfence().

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Note that for this ordering guarantee to be true, the observing threads must truly
observe global memory and not cached versions of it; this is ensured by using the
volatile keyword as detailed in Volatile Qualifier.
void __threadfence_system();

acts as __threadfence_block() for all threads in the block of the calling thread and
also ensures that:
‣

‣

All writes to global memory, page-locked host memory, and the memory of a peer
device made by the calling thread before the call to __threadfence_system()
are observed by all threads in the device, host threads, and all threads in peer
devices as occurring before all writes to global memory, page-locked host memory,
and the memory of a peer device made by the calling thread after the call to
__threadfence_system().
All reads from shared memory, global memory, page-locked host memory,
and the memory of a peer device made by the calling thread before the call to
__threadfence_system() are performed before all reads from shared memory,
global memory, page-locked host memory, and the memory of a peer device made
by the calling thread after the call to __threadfence_system().

__threadfence_system() is only supported by devices of compute capability 2.x and

higher.

In the previous code sample, inserting a fence function call between X = 10; and Y
= 20; and between int A = X; and int B = Y; would ensure that for thread 1, A
will always be equal to 10 if B is equal to 20. If thread 1 and 2 belong to the same block,
it is enough to use __threadfence_block(). If thread 1 and 2 do not belong to the
same block, __threadfence() must be used if they are CUDA threads from the same
device and __threadfence_system() must be used if they are CUDA threads from
two different devices.
A common use case is when threads consume some data produced by other threads as
illustrated by the following code sample of a kernel that computes the sum of an array
of N numbers in one call. Each block first sums a subset of the array and stores the result
in global memory. When all blocks are done, the last block done reads each of these
partial sums from global memory and sums them to obtain the final result. In order to
determine which block is finished last, each block atomically increments a counter to
signal that it is done with computing and storing its partial sum (see Atomic Functions
about atomic functions). The last block is the one that receives the counter value equal
to gridDim.x-1. If no fence is placed between storing the partial sum and incrementing
the counter, the counter might increment before the partial sum is stored and therefore,
might reach gridDim.x-1 and let the last block start reading partial sums before they
have been actually updated in memory.
Memory fence functions only affect the ordering of memory operations by a thread;
they do not ensure that these memory operations are visible to other threads (like
__syncthreads() does for threads within a block (see Synchronization Functions)). In

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the code sample below, the visibility of memory operations on the result variable is
ensured by declaring it as volatile (see Volatile Qualifier).
__device__ unsigned int count = 0;
__shared__ bool isLastBlockDone;
__global__ void sum(const float* array, unsigned int N,
volatile float* result)
{
// Each block sums a subset of the input array.
float partialSum = calculatePartialSum(array, N);
if (threadIdx.x == 0) {
// Thread 0 of each block stores the partial sum
// to global memory. The compiler will use
// a store operation that bypasses the L1 cache
// since the "result" variable is declared as
// volatile. This ensures that the threads of
// the last block will read the correct partial
// sums computed by all other blocks.
result[blockIdx.x] = partialSum;
// Thread 0 makes sure that the incrementation
// of the "count" variable is only performed after
// the partial sum has been written to global memory.
__threadfence();
// Thread 0 signals that it is done.
unsigned int value = atomicInc(&count, gridDim.x);

}

// Thread 0 determines if its block is the last
// block to be done.
isLastBlockDone = (value == (gridDim.x - 1));

// Synchronize to make sure that each thread reads
// the correct value of isLastBlockDone.
__syncthreads();
if (isLastBlockDone) {
// The last block sums the partial sums
// stored in result[0 .. gridDim.x-1]
float totalSum = calculateTotalSum(result);
if (threadIdx.x == 0) {

}

}

}

// Thread 0 of last block stores the total sum
// to global memory and resets the count
// varialble, so that the next kernel call
// works properly.
result[0] = totalSum;
count = 0;

B.6. Synchronization Functions
void __syncthreads();

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waits until all threads in the thread block have reached this point and all global and
shared memory accesses made by these threads prior to __syncthreads() are visible
to all threads in the block.
__syncthreads() is used to coordinate communication between the threads of the

same block. When some threads within a block access the same addresses in shared
or global memory, there are potential read-after-write, write-after-read, or write-afterwrite hazards for some of these memory accesses. These data hazards can be avoided by
synchronizing threads in-between these accesses.
__syncthreads() is allowed in conditional code but only if the conditional evaluates

identically across the entire thread block, otherwise the code execution is likely to hang
or produce unintended side effects.
Devices of compute capability 2.x and higher support three variations of
__syncthreads() described below.
int __syncthreads_count(int predicate);

is identical to __syncthreads() with the additional feature that it evaluates predicate
for all threads of the block and returns the number of threads for which predicate
evaluates to non-zero.
int __syncthreads_and(int predicate);

is identical to __syncthreads() with the additional feature that it evaluates predicate
for all threads of the block and returns non-zero if and only if predicate evaluates to nonzero for all of them.
int __syncthreads_or(int predicate);

is identical to __syncthreads() with the additional feature that it evaluates predicate
for all threads of the block and returns non-zero if and only if predicate evaluates to nonzero for any of them.

B.7. Mathematical Functions
The reference manual lists all C/C++ standard library mathematical functions that are
supported in device code and all intrinsic functions that are only supported in device
code.
Mathematical Functions provides accuracy information for some of these functions
when relevant.

B.8. Texture Functions
Texture objects are described in Texture Object API
Texture references are described in Texture Reference API
Texture fetching is described in Texture Fetching.

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B.8.1. Texture Object API
B.8.1.1. tex1Dfetch()
template
T tex1Dfetch(cudaTextureObject_t texObj, int x);

fetches from the region of linear memory specified by the one-dimensional texture
object texObj using integer texture coordinate x. tex1Dfetch() only works with nonnormalized coordinates, so only the border and clamp addressing modes are supported.
It does not perform any texture filtering. For integer types, it may optionally promote
the integer to single-precision floating point.

B.8.1.2. tex1D()
template
T tex1D(cudaTextureObject_t texObj, float x);

fetches from the CUDA array specified by the one-dimensional texture object texObj
using texture coordinate x.

B.8.1.3. tex1DLod()
template
T tex1DLod(cudaTextureObject_t texObj, float x, float level);

fetches from the CUDA array specified by the one-dimensional texture object texObj
using texture coordinate x at the level-of-detail level.

B.8.1.4. tex1DGrad()
template
T tex1DGrad(cudaTextureObject_t texObj, float x, float dx, float dy);

fetches from the CUDA array specified by the one-dimensional texture object texObj
using texture coordinate x. The level-of-detail is derived from the X-gradient dx and Ygradient dy.

B.8.1.5. tex2D()
template
T tex2D(cudaTextureObject_t texObj, float x, float y);

fetches from the CUDA array or the region of linear memory specified by the twodimensional texture object texObj using texture coordinate (x,y).

B.8.1.6. tex2DLod()
template
tex2DLod(cudaTextureObject_t texObj, float x, float y, float level);

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fetches from the CUDA array or the region of linear memory specified by the twodimensional texture object texObj using texture coordinate (x,y) at level-of-detail
level.

B.8.1.7. tex2DGrad()
template
T tex2DGrad(cudaTextureObject_t texObj, float x, float y,
float2 dx, float2 dy);

fetches from the CUDA array specified by the two-dimensional texture object texObj
using texture coordinate (x,y). The level-of-detail is derived from the dx and dy
gradients.

B.8.1.8. tex3D()
template
T tex3D(cudaTextureObject_t texObj, float x, float y, float z);

fetches from the CUDA array specified by the three-dimensional texture object texObj
using texture coordinate (x,y,z).

B.8.1.9. tex3DLod()
template
T tex3DLod(cudaTextureObject_t texObj, float x, float y, float z, float level);

fetches from the CUDA array or the region of linear memory specified by the threedimensional texture object texObj using texture coordinate (x,y,z) at level-of-detail
level.

B.8.1.10. tex3DGrad()
template
T tex3DGrad(cudaTextureObject_t texObj, float x, float y, float z,
float4 dx, float4 dy);

fetches from the CUDA array specified by the three-dimensional texture object texObj
using texture coordinate (x,y,z) at a level-of-detail derived from the X and Y gradients
dx and dy.

B.8.1.11. tex1DLayered()
template
T tex1DLayered(cudaTextureObject_t texObj, float x, int layer);

fetches from the CUDA array specified by the one-dimensional texture object texObj
using texture coordinate x and index layer, as described in Layered Textures

B.8.1.12. tex1DLayeredLod()
template
T tex1DLayeredLod(cudaTextureObject_t texObj, float x, int layer, float level);

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fetches from the CUDA array specified by the one-dimensional layered texture at layer
layer using texture coordinate x and level-of-detail level.

B.8.1.13. tex1DLayeredGrad()
template
T tex1DLayeredGrad(cudaTextureObject_t texObj, float x, int layer,
float dx, float dy);

fetches from the CUDA array specified by the one-dimensional layered texture at layer
layer using texture coordinate x and a level-of-detail derived from the dx and dy
gradients.

B.8.1.14. tex2DLayered()
template
T tex2DLayered(cudaTextureObject_t texObj,
float x, float y, int layer);

fetches from the CUDA array specified by the two-dimensional texture object texObj
using texture coordinate (x,y) and index layer, as described in Layered Textures.

B.8.1.15. tex2DLayeredLod()
template
T tex2DLayeredLod(cudaTextureObject_t texObj, float x, float y, int layer,
float level);

fetches from the CUDA array specified by the two-dimensional layered texture at layer
layer using texture coordinate (x,y).

B.8.1.16. tex2DLayeredGrad()
template
T tex2DLayeredGrad(cudaTextureObject_t texObj, float x, float y, int layer,
float2 dx, float2 dy);

fetches from the CUDA array specified by the two-dimensional layered texture at layer
layer using texture coordinate (x,y) and a level-of-detail derived from the dx and dy
X and Y gradients.

B.8.1.17. texCubemap()
template
T texCubemap(cudaTextureObject_t texObj, float x, float y, float z);

fetches the CUDA array specified by the three-dimensional texture object texObj using
texture coordinate (x,y,z), as described in Cubemap Textures.

B.8.1.18. texCubemapLod()
template
T texCubemapLod(cudaTextureObject_t texObj, float x, float, y, float z,
float level);

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fetches from the CUDA array specified by the three-dimensional texture object texObj
using texture coordinate (x,y,z) as described in Cubemap Textures. The level-of-detail
used is given by level.

B.8.1.19. texCubemapLayered()
template
T texCubemapLayered(cudaTextureObject_t texObj,
float x, float y, float z, int layer);

fetches from the CUDA array specified by the cubemap layered texture object texObj
using texture coordinates (x,y,z), and index layer, as described in Cubemap Layered
Textures.

B.8.1.20. texCubemapLayeredLod()
template
T texCubemapLayeredLod(cudaTextureObject_t texObj, float x, float y, float z,
int layer, float level);

fetches from the CUDA array specified by the cubemap layered texture object texObj
using texture coordinate (x,y,z) and index layer, as described in Cubemap Layered
Textures, at level-of-detail level level.

B.8.1.21. tex2Dgather()
template
T tex2Dgather(cudaTextureObject_t texObj,
float x, float y, int comp = 0);

fetches from the CUDA array specified by the 2D texture object texObj using texture
coordinates x and y and the comp parameter as described in Texture Gather.

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B.8.2. Texture Reference API
B.8.2.1. tex1Dfetch()
template
Type tex1Dfetch(
texture texRef,
int x);
float tex1Dfetch(
texture texRef,
int x);
float tex1Dfetch(
texture texRef,
int x);
float tex1Dfetch(
texture texRef,
int x);
float tex1Dfetch(
texture texRef,
int x);

fetches from the region of linear memory bound to the one-dimensional texture
reference texRef using integer texture coordinate x. tex1Dfetch() only works with
non-normalized coordinates, so only the border and clamp addressing modes are
supported. It does not perform any texture filtering. For integer types, it may optionally
promote the integer to single-precision floating point.
Besides the functions shown above, 2-, and 4-tuples are supported; for example:
float4 tex1Dfetch(
texture texRef,
int x);

fetches from the region of linear memory bound to texture reference texRef using
texture coordinate x.

B.8.2.2. tex1D()
template
Type tex1D(texture texRef,
float x);

fetches from the CUDA array bound to the one-dimensional texture reference texRef
using texture coordinate x. Type is equal to DataType except when readMode is equal
to cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
equal to the matching floating-point type.

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B.8.2.3. tex1DLod()
template
Type tex1DLod(texture texRef, float x,
float level);

fetches from the CUDA array bound to the one-dimensional texture reference texRef
using texture coordinate x. The level-of-detail is given by level. Type is the same as
DataType except when readMode is cudaReadModeNormalizedFloat (see Texture
Reference API), in which case Type is the corresponding floating-point type.

B.8.2.4. tex1DGrad()
template
Type tex1DGrad(texture texRef, float x,
float dx, float dy);

fetches from the CUDA array bound to the one-dimensional texture reference
texRef using texture coordinate x. The level-of-detail is derived from the dx and
dy X- and Y-gradients. Type is the same as DataType except when readMode is
cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
the corresponding floating-point type.

B.8.2.5. tex2D()
template
Type tex2D(texture texRef,
float x, float y);

fetches from the CUDA array or the region of linear memory bound to the twodimensional texture reference texRef using texture coordinates x and y. Type is equal
to DataType except when readMode is equal to cudaReadModeNormalizedFloat (see
Texture Reference API), in which case Type is equal to the matching floating-point type.

B.8.2.6. tex2DLod()
template
Type tex2DLod(texture texRef,
float x, float y, float level);

fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y). The level-of-detail is given by level. Type is the same
as DataType except when readMode is cudaReadModeNormalizedFloat (see Texture
Reference API), in which case Type is the corresponding floating-point type.

B.8.2.7. tex2DGrad()
template
Type tex2DGrad(texture texRef,
float x, float y, float2 dx, float2 dy);

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fetches from the CUDA array bound to the two-dimensional texture reference
texRef using texture coordinate (x,y). The level-of-detail is derived from the dx
and dy X- and Y-gradients. Type is the same as DataType except when readMode is
cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
the corresponding floating-point type.

B.8.2.8. tex3D()
template
Type tex3D(texture texRef,
float x, float y, float z);

fetches from the CUDA array bound to the three-dimensional texture reference texRef
using texture coordinates x, y, and z. Type is equal to DataType except when readMode
is equal to cudaReadModeNormalizedFloat (see Texture Reference API), in which case
Type is equal to the matching floating-point type.

B.8.2.9. tex3DLod()
template
Type tex3DLod(texture texRef,
float x, float y, float z, float level);

fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y,z). The level-of-detail is given by level. Type is the
same as DataType except when readMode is cudaReadModeNormalizedFloat (see
Texture Reference API), in which case Type is the corresponding floating-point type.

B.8.2.10. tex3DGrad()
template
Type tex3DGrad(texture texRef,
float x, float y, float z, float4 dx, float4 dy);

fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y,z). The level-of-detail is derived from the dx and
dy X- and Y-gradients. Type is the same as DataType except when readMode is
cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
the corresponding floating-point type.

B.8.2.11. tex1DLayered()
template
Type tex1DLayered(
texture texRef,
float x, int layer);

fetches from the CUDA array bound to the one-dimensional layered texture
reference texRef using texture coordinate x and index layer, as described in
Layered Textures. Type is equal to DataType except when readMode is equal to

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cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is

equal to the matching floating-point type.

B.8.2.12. tex1DLayeredLod()
template
Type tex1DLayeredLod(texture texRef,
float x, int layer, float level);

fetches from the CUDA array bound to the one-dimensional texture reference texRef
using texture coordinate x and index layer as described in Layered Textures. The levelof-detail is given by level. Type is the same as DataType except when readMode is
cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
the corresponding floating-point type.

B.8.2.13. tex1DLayeredGrad()
template
Type tex1DLayeredGrad(texture texRef,
float x, int layer, float dx, float dy);

fetches from the CUDA array bound to the one-dimensional texture reference texRef
using texture coordinate x and index layer as described in Layered Textures. The
level-of-detail is derived from the dx and dy X- and Y-gradients. Type is the same as
DataType except when readMode is cudaReadModeNormalizedFloat (see Texture
Reference API), in which case Type is the corresponding floating-point type.

B.8.2.14. tex2DLayered()
template
Type tex2DLayered(
texture texRef,
float x, float y, int layer);

fetches from the CUDA array bound to the two-dimensional layered texture
reference texRef using texture coordinates x and y, and index layer, as described
in Texture Memory. Type is equal to DataType except when readMode is equal to
cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
equal to the matching floating-point type.

B.8.2.15. tex2DLayeredLod()
template
Type tex2DLayeredLod(texture texRef,
float x, float y, int layer, float level);

fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y) and index layer as described in Layered Textures. The
level-of-detail is given by level. Type is the same as DataType except when readMode
is cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
the corresponding floating-point type.

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B.8.2.16. tex2DLayeredGrad()
template
Type tex2DLayeredGrad(texture texRef,
float x, float y, int layer, float2 dx, float2 dy);

fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y) and index layer as described in Layered Textures. The
level-of-detail is derived from the dx and dy X- and Y-gradients. Type is the same as
DataType except when readMode is cudaReadModeNormalizedFloat (see Texture
Reference API), in which case Type is the corresponding floating-point type.

B.8.2.17. texCubemap()
template
Type texCubemap(
texture texRef,
float x, float y, float z);

fetches from the CUDA array bound to the cubemap texture reference texRef using
texture coordinates x, y, and z, as described in Cubemap Textures. Type is equal to
DataType except when readMode is equal to cudaReadModeNormalizedFloat (see
Texture Reference API), in which case Type is equal to the matching floating-point type.

B.8.2.18. texCubemapLod()
template
Type texCubemapLod(texture texRef,
float x, float y, float z, float level);

fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y,z). The level-of-detail is given by level. Type is the
same as DataType except when readMode is cudaReadModeNormalizedFloat (see
Texture Reference API), in which case Type is the corresponding floating-point type.

B.8.2.19. texCubemapLayered()
template
Type texCubemapLayered(
texture texRef,
float x, float y, float z, int layer);

fetches from the CUDA array bound to the cubemap layered texture reference texRef
using texture coordinates x, y, and z, and index layer, as described in Cubemap
Layered Textures. Type is equal to DataType except when readMode is equal to
cudaReadModeNormalizedFloat (see Texture Reference API), in which case Type is
equal to the matching floating-point type.

B.8.2.20. texCubemapLayeredLod()
template
Type texCubemapLayeredLod(texture texRef,
float x, float y, float z, int layer, float level);

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fetches from the CUDA array bound to the two-dimensional texture reference texRef
using texture coordinate (x,y,z) and index layer as described in Layered Textures.
The level-of-detail is given by level. Type is the same as DataType except when
readMode is cudaReadModeNormalizedFloat (see Texture Reference API), in which
case Type is the corresponding floating-point type.

B.8.2.21. tex2Dgather()
template
Type tex2Dgather(
texture texRef,
float x, float y, int comp = 0);

fetches from the CUDA array bound to the 2D texture reference texRef using texture
coordinates x and y and the comp parameter as described in Texture Gather. Type is a 4component vector type. It is based on the base type of DataType except when readMode
is equal to cudaReadModeNormalizedFloat (see Texture Reference API), in which case
it is always float4.

B.9. Surface Functions
Surface functions are only supported by devices of compute capability 2.0 and higher.
Surface objects are described in described in Surface Object API
Surface references are described in Surface Reference API.
In the sections below, boundaryMode specifies the boundary mode, that is how out-ofrange surface coordinates are handled; it is equal to either cudaBoundaryModeClamp,
in which case out-of-range coordinates are clamped to the valid range, or
cudaBoundaryModeZero, in which case out-of-range reads return zero and out-of-range
writes are ignored, or cudaBoundaryModeTrap, in which case out-of-range accesses
cause the kernel execution to fail.

B.9.1. Surface Object API
B.9.1.1. surf1Dread()
template
T surf1Dread(cudaSurfaceObject_t surfObj, int x,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the one-dimensional surface object surfObj using
coordinate x.

B.9.1.2. surf1Dwrite
template
void surf1Dwrite(T data,
cudaSurfaceObject_t surfObj,
int x,
boundaryMode = cudaBoundaryModeTrap);

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writes value data to the CUDA array specified by the one-dimensional surface object
surfObj at coordinate x.

B.9.1.3. surf2Dread()
template
T surf2Dread(cudaSurfaceObject_t surfObj,
int x, int y,
boundaryMode = cudaBoundaryModeTrap);
template
void surf2Dread(T* data,
cudaSurfaceObject_t surfObj,
int x, int y,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the two-dimensional surface object surfObj using
coordinates x and y.

B.9.1.4. surf2Dwrite()
template
void surf2Dwrite(T data,
cudaSurfaceObject_t surfObj,
int x, int y,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array specified by the two-dimensional surface object
surfObj at coordinate x and y.

B.9.1.5. surf3Dread()
template
T surf3Dread(cudaSurfaceObject_t surfObj,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);
template
void surf3Dread(T* data,
cudaSurfaceObject_t surfObj,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the three-dimensional surface object surfObj using
coordinates x, y, and z.

B.9.1.6. surf3Dwrite()
template
void surf3Dwrite(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array specified by the three-dimensional object surfObj
at coordinate x, y, and z.

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B.9.1.7. surf1DLayeredread()
template
T surf1DLayeredread(
cudaSurfaceObject_t surfObj,
int x, int layer,
boundaryMode = cudaBoundaryModeTrap);
template
void surf1DLayeredread(T data,
cudaSurfaceObject_t surfObj,
int x, int layer,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the one-dimensional layered surface object surfObj
using coordinate x and index layer.

B.9.1.8. surf1DLayeredwrite()
template
void surf1DLayeredwrite(T data,
cudaSurfaceObject_t surfObj,
int x, int layer,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array specified by the two-dimensional layered surface
object surfObj at coordinate x and index layer.

B.9.1.9. surf2DLayeredread()
template
T surf2DLayeredread(
cudaSurfaceObject_t surfObj,
int x, int y, int layer,
boundaryMode = cudaBoundaryModeTrap);
template
void surf2DLayeredread(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int layer,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the two-dimensional layered surface object surfObj
using coordinate x and y, and index layer.

B.9.1.10. surf2DLayeredwrite()
template
void surf2DLayeredwrite(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int layer,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array specified by the one-dimensional layered surface
object surfObj at coordinate x and y, and index layer.

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B.9.1.11. surfCubemapread()
template
T surfCubemapread(
cudaSurfaceObject_t surfObj,
int x, int y, int face,
boundaryMode = cudaBoundaryModeTrap);
template
void surfCubemapread(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int face,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the cubemap surface object surfObj using
coordinate x and y, and face index face.

B.9.1.12. surfCubemapwrite()
template
void surfCubemapwrite(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int face,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array specified by the cubemap object surfObj at
coordinate x and y, and face index face.

B.9.1.13. surfCubemapLayeredread()
template
T surfCubemapLayeredread(
cudaSurfaceObject_t surfObj,
int x, int y, int layerFace,
boundaryMode = cudaBoundaryModeTrap);
template
void surfCubemapLayeredread(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int layerFace,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array specified by the cubemap layered surface object surfObj using
coordinate x and y, and index layerFace.

B.9.1.14. surfCubemapLayeredwrite()
template
void surfCubemapLayeredwrite(T data,
cudaSurfaceObject_t surfObj,
int x, int y, int layerFace,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array specified by the cubemap layered object surfObj at
coordinate x and y, and index layerFace.

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B.9.2. Surface Reference API
B.9.2.1. surf1Dread()
template
Type surf1Dread(surface surfRef,
int x,
boundaryMode = cudaBoundaryModeTrap);
template
void surf1Dread(Type data,
surface surfRef,
int x,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the one-dimensional surface reference surfRef using
coordinate x.

B.9.2.2. surf1Dwrite
template
void surf1Dwrite(Type data,
surface surfRef,
int x,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the one-dimensional surface reference
surfRef at coordinate x.

B.9.2.3. surf2Dread()
template
Type surf2Dread(surface surfRef,
int x, int y,
boundaryMode = cudaBoundaryModeTrap);
template
void surf2Dread(Type* data,
surface surfRef,
int x, int y,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the two-dimensional surface reference surfRef using
coordinates x and y.

B.9.2.4. surf2Dwrite()
template
void surf3Dwrite(Type data,
surface surfRef,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the two-dimensional surface reference
surfRef at coordinate x and y.

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B.9.2.5. surf3Dread()
template
Type surf3Dread(surface surfRef,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);
template
void surf3Dread(Type* data,
surface surfRef,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the three-dimensional surface reference surfRef using
coordinates x, y, and z.

B.9.2.6. surf3Dwrite()
template
void surf3Dwrite(Type data,
surface surfRef,
int x, int y, int z,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the three-dimensional surface reference
surfRef at coordinate x, y, and z.

B.9.2.7. surf1DLayeredread()
template
Type surf1DLayeredread(
surface surfRef,
int x, int layer,
boundaryMode = cudaBoundaryModeTrap);
template
void surf1DLayeredread(Type data,
surface surfRef,
int x, int layer,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the one-dimensional layered surface reference surfRef
using coordinate x and index layer.

B.9.2.8. surf1DLayeredwrite()
template
void surf1DLayeredwrite(Type data,
surface surfRef,
int x, int layer,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the two-dimensional layered surface
reference surfRef at coordinate x and index layer.

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B.9.2.9. surf2DLayeredread()
template
Type surf2DLayeredread(
surface surfRef,
int x, int y, int layer,
boundaryMode = cudaBoundaryModeTrap);
template
void surf2DLayeredread(Type data,
surface surfRef,
int x, int y, int layer,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the two-dimensional layered surface reference surfRef
using coordinate x and y, and index layer.

B.9.2.10. surf2DLayeredwrite()
template
void surf2DLayeredwrite(Type data,
surface surfRef,
int x, int y, int layer,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the one-dimensional layered surface
reference surfRef at coordinate x and y, and index layer.

B.9.2.11. surfCubemapread()
template
Type surfCubemapread(
surface surfRef,
int x, int y, int face,
boundaryMode = cudaBoundaryModeTrap);
template
void surfCubemapread(Type data,
surface surfRef,
int x, int y, int face,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the cubemap surface reference surfRef using
coordinate x and y, and face index face.

B.9.2.12. surfCubemapwrite()
template
void surfCubemapwrite(Type data,
surface surfRef,
int x, int y, int face,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the cubemap reference surfRef at
coordinate x and y, and face index face.

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B.9.2.13. surfCubemapLayeredread()
template
Type surfCubemapLayeredread(
surface surfRef,
int x, int y, int layerFace,
boundaryMode = cudaBoundaryModeTrap);
template
void surfCubemapLayeredread(Type data,
surface surfRef,
int x, int y, int layerFace,
boundaryMode = cudaBoundaryModeTrap);

reads the CUDA array bound to the cubemap layered surface reference surfRef using
coordinate x and y, and index layerFace.

B.9.2.14. surfCubemapLayeredwrite()
template
void surfCubemapLayeredwrite(Type data,
surface surfRef,
int x, int y, int layerFace,
boundaryMode = cudaBoundaryModeTrap);

writes value data to the CUDA array bound to the cubemap layered reference surfRef
at coordinate x and y, and index layerFace.

B.10. Read-Only Data Cache Load Function
The read-only data cache load function is only supported by devices of compute
capability 3.5 and higher.
T __ldg(const T* address);

returns the data of type T located at address address, where T is char, short, int,
long long unsigned char, unsigned short, unsigned int, unsigned long
long, int2, int4, uint2, uint4, float, float2, float4, double, or double2. The
operation is cached in the read-only data cache (see Global Memory).

B.11. Time Function
clock_t clock();
long long int clock64();

when executed in device code, returns the value of a per-multiprocessor counter that is
incremented every clock cycle. Sampling this counter at the beginning and at the end of
a kernel, taking the difference of the two samples, and recording the result per thread
provides a measure for each thread of the number of clock cycles taken by the device to
completely execute the thread, but not of the number of clock cycles the device actually
spent executing thread instructions. The former number is greater than the latter since
threads are time sliced.

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B.12. Atomic Functions
An atomic function performs a read-modify-write atomic operation on one 32-bit or
64-bit word residing in global or shared memory. For example, atomicAdd() reads a
word at some address in global or shared memory, adds a number to it, and writes the
result back to the same address. The operation is atomic in the sense that it is guaranteed
to be performed without interference from other threads. In other words, no other
thread can access this address until the operation is complete. Atomic functions do not
act as memory fences and do not imply synchronization or ordering constraints for
memory operations (see Memory Fence Functions for more details on memory fences).
Atomic functions can only be used in device functions and atomic functions operating
on mapped page-locked memory (Mapped Memory) are not atomic from the point of
view of the host or other devices.
Note that any atomic operation can be implemented based on atomicCAS() (Compare
And Swap). For example, atomicAdd() for double-precision floating-point numbers
can be implemented as follows:
__device__ double atomicAdd(double* address, double val)
{
unsigned long long int* address_as_ull =
(unsigned long long int*)address;
unsigned long long int old = *address_as_ull, assumed;
do {
assumed = old;
old = atomicCAS(address_as_ull, assumed,
__double_as_longlong(val +
__longlong_as_double(assumed)));
// Note: uses integer comparison to avoid hang in case of NaN (since NaN !=
NaN)
} while (assumed != old);
}

return __longlong_as_double(old);

B.12.1. Arithmetic Functions
B.12.1.1. atomicAdd()
int atomicAdd(int* address, int val);
unsigned int atomicAdd(unsigned int* address,
unsigned int val);
unsigned long long int atomicAdd(unsigned long long int* address,
unsigned long long int val);
float atomicAdd(float* address, float val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes (old + val), and stores the result back to memory at the same
address. These three operations are performed in one atomic transaction. The function
returns old.

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The floating-point version of atomicAdd() is only supported by devices of compute
capability 2.x and higher.

B.12.1.2. atomicSub()
int atomicSub(int* address, int val);
unsigned int atomicSub(unsigned int* address,
unsigned int val);

reads the 32-bit word old located at the address address in global or shared memory,
computes (old - val), and stores the result back to memory at the same address.
These three operations are performed in one atomic transaction. The function returns
old.

B.12.1.3. atomicExch()
int atomicExch(int* address, int val);
unsigned int atomicExch(unsigned int* address,
unsigned int val);
unsigned long long int atomicExch(unsigned long long int* address,
unsigned long long int val);
float atomicExch(float* address, float val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory and stores val back to memory at the same address. These two operations are
performed in one atomic transaction. The function returns old.

B.12.1.4. atomicMin()
int atomicMin(int* address, int val);
unsigned int atomicMin(unsigned int* address,
unsigned int val);
unsigned long long int atomicMin(unsigned long long int* address,
unsigned long long int val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes the minimum of old and val, and stores the result back to memory
at the same address. These three operations are performed in one atomic transaction.
The function returns old.
The 64-bit version of atomicMin() is only supported by devices of compute capability
3.5 and higher.

B.12.1.5. atomicMax()
int atomicMax(int* address, int val);
unsigned int atomicMax(unsigned int* address,
unsigned int val);
unsigned long long int atomicMax(unsigned long long int* address,
unsigned long long int val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes the maximum of old and val, and stores the result back to memory
at the same address. These three operations are performed in one atomic transaction.
The function returns old.

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The 64-bit version of atomicMax() is only supported by devices of compute capability
3.5 and higher.

B.12.1.6. atomicInc()
unsigned int atomicInc(unsigned int* address,
unsigned int val);

reads the 32-bit word old located at the address address in global or shared memory,
computes ((old >= val) ? 0 : (old+1)), and stores the result back to memory at
the same address. These three operations are performed in one atomic transaction. The
function returns old.

B.12.1.7. atomicDec()
unsigned int atomicDec(unsigned int* address,
unsigned int val);

reads the 32-bit word old located at the address address in global or shared memory,
computes (((old == 0) | (old > val)) ? val : (old-1) ), and stores the
result back to memory at the same address. These three operations are performed in one
atomic transaction. The function returns old.

B.12.1.8. atomicCAS()
int atomicCAS(int* address, int compare, int val);
unsigned int atomicCAS(unsigned int* address,
unsigned int compare,
unsigned int val);
unsigned long long int atomicCAS(unsigned long long int* address,
unsigned long long int compare,
unsigned long long int val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes (old == compare ? val : old) , and stores the result back
to memory at the same address. These three operations are performed in one atomic
transaction. The function returns old (Compare And Swap).

B.12.2. Bitwise Functions
B.12.2.1. atomicAnd()
int atomicAnd(int* address, int val);
unsigned int atomicAnd(unsigned int* address,
unsigned int val);
unsigned long long int atomicAnd(unsigned long long int* address,
unsigned long long int val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes (old & val), and stores the result back to memory at the same
address. These three operations are performed in one atomic transaction. The function
returns old.

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The 64-bit version of atomicAnd() is only supported by devices of compute capability
3.5 and higher.

B.12.2.2. atomicOr()
int atomicOr(int* address, int val);
unsigned int atomicOr(unsigned int* address,
unsigned int val);
unsigned long long int atomicOr(unsigned long long int* address,
unsigned long long int val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes (old | val), and stores the result back to memory at the same
address. These three operations are performed in one atomic transaction. The function
returns old.
The 64-bit version of atomicOr() is only supported by devices of compute capability
3.5 and higher.

B.12.2.3. atomicXor()
int atomicXor(int* address, int val);
unsigned int atomicXor(unsigned int* address,
unsigned int val);
unsigned long long int atomicXor(unsigned long long int* address,
unsigned long long int val);

reads the 32-bit or 64-bit word old located at the address address in global or shared
memory, computes (old ^ val), and stores the result back to memory at the same
address. These three operations are performed in one atomic transaction. The function
returns old.
The 64-bit version of atomicXor() is only supported by devices of compute capability
3.5 and higher.

B.13. Warp Vote Functions
int __all(int predicate);
int __any(int predicate);
unsigned int __ballot(int predicate);

The warp vote functions allow the threads of a given warp to perform a reduction-andbroadcast operation. These functions take as input an integer predicate from each
thread in the warp and compare those values with zero. The results of the comparisons
are combined (reduced) across the active threads of the warp in one of the following
ways, broadcasting a single return value to each participating thread:
__all(predicate):
Evaluate predicate for all active threads of the warp and return non-zero if and
only if predicate evaluates to non-zero for all of them.
__any(predicate):
Evaluate predicate for all active threads of the warp and return non-zero if and
only if predicate evaluates to non-zero for any of them.

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__ballot(predicate):
Evaluate predicate for all active threads of the warp and return an integer whose
Nth bit is set if and only if predicate evaluates to non-zero for the Nth thread of the

warp and the Nth thread is active.

Notes
For each of these warp vote operations, the result excludes threads that are inactive (e.g.,
due to warp divergence). Inactive threads are represented by 0 bits in the value returned
by __ballot() and are not considered in the reductions performed by __all() and
__any().

B.14. Warp Shuffle Functions
__shfl, __shfl_up, __shfl_down, __shfl_xor exchange a variable between threads

within a warp.

Supported by devices of compute capability 3.x.

B.14.1. Synopsis
int __shfl(int var, int srcLane, int width=warpSize);
int __shfl_up(int var, unsigned int delta, int width=warpSize);
int __shfl_down(int var, unsigned int delta, int width=warpSize);
int __shfl_xor(int var, int laneMask, int width=warpSize);
float __shfl(float var, int srcLane, int width=warpSize);
float __shfl_up(float var, unsigned int delta, int width=warpSize);
float __shfl_down(float var, unsigned int delta, int width=warpSize);
float __shfl_xor(float var, int laneMask, int width=warpSize);
half __shfl(half var, int srcLane, int width=warpSize);
half __shfl_up(half var, unsigned int delta, int width=warpSize);
half __shfl_down(half var, unsigned int delta, int width=warpSize);
half __shfl_xor(half var, int laneMask, int width=warpSize);

B.14.2. Description
The __shfl() intrinsics permit exchanging of a variable between threads within
a warp without use of shared memory. The exchange occurs simultaneously for all
active threads within the warp, moving 4 bytes of data per thread. Exchange of 8-byte
quantities must be broken into two separate invocations of __shfl().
Threads within a warp are referred to as lanes, and for devices of compute capability 3.x
may have an index between 0 and warpSize-1 (inclusive). Four source-lane addressing
modes are supported:
__shfl()

Direct copy from indexed lane

__shfl_up()

Copy from a lane with lower ID relative to caller

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__shfl_down()

Copy from a lane with higher ID relative to caller

__shfl_xor()

Copy from a lane based on bitwise XOR of own lane ID

Threads may only read data from another thread which is actively participating in the
__shfl() command. If the target thread is inactive, the retrieved value is undefined.
All of the __shfl() intrinsics take an optional width parameter which alters the
behavior of the intrinsic. width must have a value which is a power of 2; results are
undefined if width is not a power of 2, or is a number greater than warpSize.
__shfl() returns the value of var held by the thread whose ID is given by srcLane.
If width is less than warpSize then each subsection of the warp behaves as a separate
entity with a starting logical lane ID of 0. If srcLane is outside the range [0:width-1],
the value returned corresponds to the value of var held by the srcLane modulo width

(i.e. within the same subsection).

__shfl_up() calculates a source lane ID by subtracting delta from the caller's lane ID.
The value of var held by the resulting lane ID is returned: in effect, var is shifted up the
warp by delta lanes. If width is less than warpSize then each subsection of the warp

behaves as a separate entity with a starting logical lane ID of 0. The source lane index
will not wrap around the value of width, so effectively the lower delta lanes will be
unchanged.

__shfl_down() calculates a source lane ID by adding delta to the caller's lane ID. The
value of var held by the resulting lane ID is returned: this has the effect of shifting var
down the warp by delta lanes. If width is less than warpSize then each subsection

of the warp behaves as a separate entity with a starting logical lane ID of 0. As for
__shfl_up(), the ID number of the source lane will not wrap around the value of
width and so the upper delta lanes will remain unchanged.

__shfl_xor() calculates a source line ID by performing a bitwise XOR of the caller's
lane ID with laneMask: the value of var held by the resulting lane ID is returned. If
width is less than warpSize then each group of width consecutive threads are able

to access elements from earlier groups of threads, however if they attempt to access
elements from later groups of threads their own value of var will be returned. This
mode implements a butterfly addressing pattern such as is used in tree reduction and
broadcast.

B.14.3. Return Value
All __shfl() intrinsics return the 4-byte word referenced by var from the source lane
ID as an unsigned integer. If the source lane ID is out of range or the source thread has
exited, the calling thread's own var is returned.

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B.14.4. Notes
All __shfl() intrinsics share the same semantics with respect to code motion as the
vote intrinsics __any() and __all().
Threads may only read data from another thread which is actively participating in the
__shfl() command. If the target thread is inactive, the retrieved value is undefined.
width must be a power-of-2 (i.e., 2, 4, 8, 16 or 32). Results are unspecified for other

values.

Types other than int or float must first be cast in order to use the __shfl() intrinsics.

B.14.5. Examples
B.14.5.1. Broadcast of a single value across a warp
#include 
__global__ void bcast(int arg) {
int laneId = threadIdx.x & 0x1f;
int value;
if (laneId == 0)
// Note unused variable for
value = arg;
// all threads except lane 0
value = __shfl(value, 0);
// Get "value" from lane 0
if (value != arg)
printf("Thread %d failed.\n", threadIdx.x);
}
int main() {
bcast<<< 1, 32 >>>(1234);
cudaDeviceSynchronize();
}

return 0;

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B.14.5.2. Inclusive plus-scan across sub-partitions of 8 threads
#include 
__global__ void scan4() {
int laneId = threadIdx.x & 0x1f;
// Seed sample starting value (inverse of lane ID)
int value = 31 - laneId;
// Loop to accumulate scan within my partition.
// Scan requires log2(n) == 3 steps for 8 threads
// It works by an accumulated sum up the warp
// by 1, 2, 4, 8 etc. steps.
for (int i=1; i<=4; i*=2) {
// Note: shfl requires all threads being
// accessed to be active. Therefore we do
// the __shfl unconditionally so that we
// can read even from threads which won't do a
// sum, and then conditionally assign the result.
int n = __shfl_up(value, i, 8);
if (laneId >= i)
value += n;
}
}

printf("Thread %d final value = %d\n", threadIdx.x, value);

int main() {
scan4<<< 1, 32 >>>();
cudaDeviceSynchronize();
}

return 0;

B.14.5.3. Reduction across a warp
#include 
__global__ void warpReduce() {
int laneId = threadIdx.x & 0x1f;
// Seed starting value as inverse lane ID
int value = 31 - laneId;
// Use XOR mode to perform butterfly reduction
for (int i=16; i>=1; i/=2)
value += __shfl_xor(value, i, 32);

}

// "value" now contains the sum across all threads
printf("Thread %d final value = %d\n", threadIdx.x, value);

int main() {
warpReduce<<< 1, 32 >>>();
cudaDeviceSynchronize();
}

return 0;

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B.15. Profiler Counter Function
Each multiprocessor has a set of sixteen hardware counters that an application can
increment with a single instruction by calling the __prof_trigger() function.
[void __prof_trigger(int counter);

increments by one per warp the per-multiprocessor hardware counter of index counter.
Counters 8 to 15 are reserved and should not be used by applications.
The value of counters 0, 1, ..., 7 can be obtained via nvprof by nvprof --events
prof_trigger_0x where x is 0, 1, ..., 7. The value of those counters for the first
multiprocessor can also be obtained via the old CUDA command-line profiler by listing
prof_trigger_00, prof_trigger_01, ..., prof_trigger_07 , etc. in the
profiler.conf file (see the profiler manual for more details). All counters are reset
before each kernel launch (note that when collecting counters, kernel launches are
synchronous as mentioned in Concurrent Execution between Host and Device).

B.16. Assertion
Assertion is only supported by devices of compute capability 2.x and higher. It is not
supported on MacOS, regardless of the device, and loading a module that references the
assert function on Mac OS will fail.
void assert(int expression);

stops the kernel execution if expression is equal to zero. If the program is run within a
debugger, this triggers a breakpoint and the debugger can be used to inspect the current
state of the device. Otherwise, each thread for which expression is equal to zero prints
a message to stderr after synchronization with the host via cudaDeviceSynchronize(),
cudaStreamSynchronize(), or cudaEventSynchronize(). The format of this
message is as follows:
:::
block: [blockId.x,blockId.x,blockIdx.z],
thread: [threadIdx.x,threadIdx.y,threadIdx.z]
Assertion `` failed.

Any subsequent host-side synchronization calls made for the same device will
return cudaErrorAssert. No more commands can be sent to this device until
cudaDeviceReset() is called to reinitialize the device.
If expression is different from zero, the kernel execution is unaffected.

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For example, the following program from source file test.cu
#include 
__global__ void testAssert(void)
{
int is_one = 1;
int should_be_one = 0;
// This will have no effect
assert(is_one);

}

// This will halt kernel execution
assert(should_be_one);

int main(int argc, char* argv[])
{
testAssert<<<1,1>>>();
cudaDeviceSynchronize();
}

return 0;

will output:
test.cu:19: void testAssert(): block: [0,0,0], thread: [0,0,0] Assertion
`should_be_one` failed.

Assertions are for debugging purposes. They can affect performance and it is therefore
recommended to disable them in production code. They can be disabled at compile
time by defining the NDEBUG preprocessor macro before including assert.h. Note that
expression should not be an expression with side effects (something like (++i > 0),
for example), otherwise disabling the assertion will affect the functionality of the code.

B.17. Formatted Output
Formatted output is only supported by devices of compute capability 2.x and higher.
int printf(const char *format[, arg, ...]);

prints formatted output from a kernel to a host-side output stream.
The in-kernel printf() function behaves in a similar way to the standard C-library
printf() function, and the user is referred to the host system's manual pages for a
complete description of printf() behavior. In essence, the string passed in as format is
output to a stream on the host, with substitutions made from the argument list wherever
a format specifier is encountered. Supported format specifiers are listed below.
The printf() command is executed as any other device-side function: per-thread, and
in the context of the calling thread. From a multi-threaded kernel, this means that a
straightforward call to printf() will be executed by every thread, using that thread's
data as specified. Multiple versions of the output string will then appear at the host
stream, once for each thread which encountered the printf().
It is up to the programmer to limit the output to a single thread if only a single output
string is desired (see Examples for an illustrative example).

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Unlike the C-standard printf(), which returns the number of characters printed,
CUDA's printf() returns the number of arguments parsed. If no arguments follow the
format string, 0 is returned. If the format string is NULL, -1 is returned. If an internal
error occurs, -2 is returned.

B.17.1. Format Specifiers
As for standard printf(), format specifiers take the form: %[flags][width]
[.precision][size]type
The following fields are supported (see widely-available documentation for a complete
description of all behaviors):
‣
‣
‣
‣
‣

Flags: `#' ` ' `0' `+' `-'
Width: `*' `0-9'
Precision: `0-9'
Size: `h' `l' `ll'
Type: `%cdiouxXpeEfgGaAs'

Note that CUDA's printf()will accept any combination of flag, width, precision, size
and type, whether or not overall they form a valid format specifier. In other words, "%hd"
will be accepted and printf will expect a double-precision variable in the corresponding
location in the argument list.

B.17.2. Limitations
Final formatting of the printf() output takes place on the host system. This means
that the format string must be understood by the host-system's compiler and C library.
Every effort has been made to ensure that the format specifiers supported by CUDA's
printf function form a universal subset from the most common host compilers, but exact
behavior will be host-OS-dependent.
As described in Format Specifiers, printf() will accept all combinations of valid flags
and types. This is because it cannot determine what will and will not be valid on the
host system where the final output is formatted. The effect of this is that output may be
undefined if the program emits a format string which contains invalid combinations.
The printf() command can accept at most 32 arguments in addition to the format
string. Additional arguments beyond this will be ignored, and the format specifier
output as-is.
Owing to the differing size of the long type on 64-bit Windows platforms (four bytes
on 64-bit Windows platforms, eight bytes on other 64-bit platforms), a kernel which is
compiled on a non-Windows 64-bit machine but then run on a win64 machine will see
corrupted output for all format strings which include "%ld". It is recommended that the
compilation platform matches the execution platform to ensure safety.

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The output buffer for printf() is set to a fixed size before kernel launch (see
Associated Host-Side API). It is circular and if more output is produced during kernel
execution than can fit in the buffer, older output is overwritten. It is flushed only when
one of these actions is performed:
‣

‣

‣
‣
‣
‣

Kernel launch via <<<>>> or cuLaunchKernel() (at the start of the launch, and if
the CUDA_LAUNCH_BLOCKING environment variable is set to 1, at the end of the
launch as well),
Synchronization via cudaDeviceSynchronize(), cuCtxSynchronize(),
cudaStreamSynchronize(), cuStreamSynchronize(),
cudaEventSynchronize(), or cuEventSynchronize(),
Memory copies via any blocking version of cudaMemcpy*() or cuMemcpy*(),
Module loading/unloading via cuModuleLoad() or cuModuleUnload(),
Context destruction via cudaDeviceReset() or cuCtxDestroy().
Prior to executing a stream callback added by cudaStreamAddCallback or
cuStreamAddCallback.

Note that the buffer is not flushed automatically when the program exits. The user must
call cudaDeviceReset() or cuCtxDestroy() explicitly, as shown in the examples
below.
Internally printf() uses a shared data structure and so it is possible that calling
printf() might change the order of execution of threads. In particular, a thread
which calls printf() might take a longer execution path than one which does not call
printf(), and that path length is dependent upon the parameters of the printf().
Note, however, that CUDA makes no guarantees of thread execution order except at
explicit __syncthreads() barriers, so it is impossible to tell whether execution order
has been modified by printf() or by other scheduling behaviour in the hardware.

B.17.3. Associated Host-Side API
The following API functions get and set the size of the buffer used to transfer the
printf() arguments and internal metadata to the host (default is 1 megabyte):
‣
‣

cudaDeviceGetLimit(size_t* size,cudaLimitPrintfFifoSize)
cudaDeviceSetLimit(cudaLimitPrintfFifoSize, size_t size)

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B.17.4. Examples
The following code sample:
#include 
__global__ void helloCUDA(float f)
{
printf("Hello thread %d, f=%f\n", threadIdx.x, f);
}
int main()
{
helloCUDA<<<1, 5>>>(1.2345f);
cudaDeviceSynchronize();
return 0;
}

will output:
Hello
Hello
Hello
Hello
Hello

thread
thread
thread
thread
thread

2,
1,
4,
0,
3,

f=1.2345
f=1.2345
f=1.2345
f=1.2345
f=1.2345

Notice how each thread encounters the printf() command, so there are as many lines
of output as there were threads launched in the grid. As expected, global values (i.e.,
float f) are common between all threads, and local values (i.e., threadIdx.x) are
distinct per-thread.
The following code sample:
#include 
__global__ void helloCUDA(float f)
{
if (threadIdx.x == 0)
printf("Hello thread %d, f=%f\n", threadIdx.x, f) ;
}
int main()
{
helloCUDA<<<1, 5>>>(1.2345f);
cudaDeviceSynchronize();
return 0;
}

will output:
Hello thread 0, f=1.2345

Self-evidently, the if() statement limits which threads will call printf, so that only a
single line of output is seen.

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B.18. Dynamic Global Memory Allocation and
Operations
Dynamic global memory allocation and operations are only supported by devices of
compute capability 2.x and higher.
void* malloc(size_t size);
void free(void* ptr);

allocate and free memory dynamically from a fixed-size heap in global memory.
void* memcpy(void* dest, const void* src, size_t size);

copy size bytes from the memory location pointed by src to the memory location
pointed by dest.
void* memset(void* ptr, int value, size_t size);

set size bytes of memory block pointed by ptr to value (interpreted as an unsigned
char).
The CUDA in-kernel malloc() function allocates at least size bytes from the device
heap and returns a pointer to the allocated memory or NULL if insufficient memory
exists to fulfill the request. The returned pointer is guaranteed to be aligned to a 16-byte
boundary.
The CUDA in-kernel free() function deallocates the memory pointed to by ptr, which
must have been returned by a previous call to malloc(). If ptr is NULL, the call to
free() is ignored. Repeated calls to free() with the same ptr has undefined behavior.
The memory allocated by a given CUDA thread via malloc() remains allocated for the
lifetime of the CUDA context, or until it is explicitly released by a call to free(). It can
be used by any other CUDA threads even from subsequent kernel launches. Any CUDA
thread may free memory allocated by another thread, but care should be taken to ensure
that the same pointer is not freed more than once.

B.18.1. Heap Memory Allocation
The device memory heap has a fixed size that must be specified before any program
using malloc() or free() is loaded into the context. A default heap of eight megabytes
is allocated if any program uses malloc() without explicitly specifying the heap size.
The following API functions get and set the heap size:
‣
‣

cudaDeviceGetLimit(size_t* size, cudaLimitMallocHeapSize)
cudaDeviceSetLimit(cudaLimitMallocHeapSize, size_t size)

The heap size granted will be at least size bytes. cuCtxGetLimit()and
cudaDeviceGetLimit() return the currently requested heap size.

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The actual memory allocation for the heap occurs when a module is loaded into the
context, either explicitly via the CUDA driver API (see Module), or implicitly via the
CUDA runtime API (see CUDA C Runtime). If the memory allocation fails, the module
load will generate a CUDA_ERROR_SHARED_OBJECT_INIT_FAILED error.
Heap size cannot be changed once a module load has occurred and it does not resize
dynamically according to need.
Memory reserved for the device heap is in addition to memory allocated through hostside CUDA API calls such as cudaMalloc().

B.18.2. Interoperability with Host Memory API
Memory allocated via malloc() cannot be freed using the runtime (i.e., by calling any
of the free memory functions from Device Memory).
Similarly, memory allocated via the runtime (i.e., by calling any of the memory
allocation functions from Device Memory) cannot be freed via free().

B.18.3. Examples
B.18.3.1. Per Thread Allocation
The following code sample:
#include 
#include 
__global__ void mallocTest()
{
size_t size = 123;
char* ptr = (char*)malloc(size);
memset(ptr, 0, size);
printf("Thread %d got pointer: %p\n", threadIdx.x, ptr);
free(ptr);
}
int main()
{
// Set a heap size of 128 megabytes. Note that this must
// be done before any kernel is launched.
cudaDeviceSetLimit(cudaLimitMallocHeapSize, 128*1024*1024);
mallocTest<<<1, 5>>>();
cudaDeviceSynchronize();
return 0;
}

will output:
Thread
Thread
Thread
Thread
Thread

0
1
2
3
4

got
got
got
got
got

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pointer:
pointer:
pointer:
pointer:
pointer:

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00057020
0005708c
000570f8
00057164
000571d0

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Notice how each thread encounters the malloc() and memset() commands and so
receives and initializes its own allocation. (Exact pointer values will vary: these are
illustrative.)

B.18.3.2. Per Thread Block Allocation
#include 
__global__ void mallocTest()
{
__shared__ int* data;
//
//
//
//
if

The first thread in the block does the allocation and initialization
and then shares the pointer with all other threads through shared memory,
so that access can easily be coalesced.
64 bytes per thread are allocated.
(threadIdx.x == 0) {
size_t size = blockDim.x * 64;
data = (int*)malloc(size);
memset(data, 0, size);

}
__syncthreads();

// Check for failure
if (data == NULL)
return;
// Threads index into the memory, ensuring coalescence
int* ptr = data;
for (int i = 0; i < 64; ++i)
ptr[i * blockDim.x + threadIdx.x] = threadIdx.x;
// Ensure all threads complete before freeing
__syncthreads();

}

// Only one thread may free the memory!
if (threadIdx.x == 0)
free(data);

int main()
{
cudaDeviceSetLimit(cudaLimitMallocHeapSize, 128*1024*1024);
mallocTest<<<10, 128>>>();
cudaDeviceSynchronize();
return 0;
}

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B.18.3.3. Allocation Persisting Between Kernel Launches
#include 
#include 
#define NUM_BLOCKS 20
__device__ int* dataptr[NUM_BLOCKS]; // Per-block pointer
__global__ void allocmem()
{
// Only the first thread in the block does the allocation
// since we want only one allocation per block.
if (threadIdx.x == 0)
dataptr[blockIdx.x] = (int*)malloc(blockDim.x * 4);
__syncthreads();
// Check for failure
if (dataptr[blockIdx.x] == NULL)
return;

}

// Zero the data with all threads in parallel
dataptr[blockIdx.x][threadIdx.x] = 0;

// Simple example: store thread ID into each element
__global__ void usemem()
{
int* ptr = dataptr[blockIdx.x];
if (ptr != NULL)
ptr[threadIdx.x] += threadIdx.x;
}
// Print the content of the buffer before freeing it
__global__ void freemem()
{
int* ptr = dataptr[blockIdx.x];
if (ptr != NULL)
printf("Block %d, Thread %d: final value = %d\n",
blockIdx.x, threadIdx.x, ptr[threadIdx.x]);

}

// Only free from one thread!
if (threadIdx.x == 0)
free(ptr);

int main()
{
cudaDeviceSetLimit(cudaLimitMallocHeapSize, 128*1024*1024);
// Allocate memory
allocmem<<< NUM_BLOCKS, 10 >>>();
// Use memory
usemem<<< NUM_BLOCKS, 10 >>>();
usemem<<< NUM_BLOCKS, 10 >>>();
usemem<<< NUM_BLOCKS, 10 >>>();
// Free memory
freemem<<< NUM_BLOCKS, 10 >>>();
cudaDeviceSynchronize();
}

return 0;

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B.19. Execution Configuration
Any call to a __global__ function must specify the execution configuration for that call.
The execution configuration defines the dimension of the grid and blocks that will be
used to execute the function on the device, as well as the associated stream (see CUDA C
Runtime for a description of streams).
The execution configuration is specified by inserting an expression of the form <<<
Dg, Db, Ns, S >>> between the function name and the parenthesized argument list,
where:
‣
‣
‣

‣

Dg is of type dim3 (see dim3) and specifies the dimension and size of the grid, such
that Dg.x * Dg.y * Dg.z equals the number of blocks being launched;
Db is of type dim3 (see dim3) and specifies the dimension and size of each block,
such that Db.x * Db.y * Db.z equals the number of threads per block;
Ns is of type size_t and specifies the number of bytes in shared memory that is

dynamically allocated per block for this call in addition to the statically allocated
memory; this dynamically allocated memory is used by any of the variables
declared as an external array as mentioned in __shared__; Ns is an optional
argument which defaults to 0;
S is of type cudaStream_t and specifies the associated stream; S is an optional
argument which defaults to 0.

As an example, a function declared as
__global__ void Func(float* parameter);

must be called like this:
Func<<< Dg, Db, Ns >>>(parameter);

The arguments to the execution configuration are evaluated before the actual function
arguments.
The function call will fail if Dg or Db are greater than the maximum sizes allowed for
the device as specified in Compute Capabilities, or if Ns is greater than the maximum
amount of shared memory available on the device, minus the amount of shared memory
required for static allocation.

B.20. Launch Bounds
As discussed in detail in Multiprocessor Level, the fewer registers a kernel uses, the
more threads and thread blocks are likely to reside on a multiprocessor, which can
improve performance.
Therefore, the compiler uses heuristics to minimize register usage while keeping
register spilling (see Device Memory Accesses) and instruction count to a minimum.

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An application can optionally aid these heuristics by providing additional
information to the compiler in the form of launch bounds that are specified using the
__launch_bounds__() qualifier in the definition of a __global__ function:
__global__ void
__launch_bounds__(maxThreadsPerBlock, minBlocksPerMultiprocessor)
MyKernel(...)
{
...
}

‣

‣

maxThreadsPerBlock specifies the maximum number of threads per block with
which the application will ever launch MyKernel(); it compiles to the .maxntid

PTX directive;
minBlocksPerMultiprocessor is optional and specifies the desired minimum
number of resident blocks per multiprocessor; it compiles to the .minnctapersm
PTX directive.

If launch bounds are specified, the compiler first derives from them
the upper limit L on the number of registers the kernel should use to
ensure that minBlocksPerMultiprocessor blocks (or a single block if
minBlocksPerMultiprocessor is not specified) of maxThreadsPerBlock threads
can reside on the multiprocessor (see Hardware Multithreading for the relationship
between the number of registers used by a kernel and the number of registers allocated
per block). The compiler then optimizes register usage in the following way:
‣

‣

If the initial register usage is higher than L, the compiler reduces it further until it
becomes less or equal to L, usually at the expense of more local memory usage and/
or higher number of instructions;
If the initial register usage is lower than L
‣

‣

If maxThreadsPerBlock is specified and minBlocksPerMultiprocessor is
not, the compiler uses maxThreadsPerBlock to determine the register usage
thresholds for the transitions between n and n+1 resident blocks (i.e., when
using one less register makes room for an additional resident block as in the
example of Multiprocessor Level) and then applies similar heuristics as when no
launch bounds are specified;
If both minBlocksPerMultiprocessor and maxThreadsPerBlock are
specified, the compiler may increase register usage as high as L to reduce the
number of instructions and better hide single thread instruction latency.

A kernel will fail to launch if it is executed with more threads per block than its launch
bound maxThreadsPerBlock.

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Optimal launch bounds for a given kernel will usually differ across major architecture
revisions. The sample code below shows how this is typically handled in device code
using the __CUDA_ARCH__ macro introduced in Application Compatibility
#define THREADS_PER_BLOCK
#if __CUDA_ARCH__ >= 200
#define MY_KERNEL_MAX_THREADS
#define MY_KERNEL_MIN_BLOCKS
#else
#define MY_KERNEL_MAX_THREADS
#define MY_KERNEL_MIN_BLOCKS
#endif

256

(2 * THREADS_PER_BLOCK)
3
THREADS_PER_BLOCK
2

// Device code
__global__ void
__launch_bounds__(MY_KERNEL_MAX_THREADS, MY_KERNEL_MIN_BLOCKS)
MyKernel(...)
{
...
}

In the common case where MyKernel is invoked with the maximum number of threads
per block (specified as the first parameter of __launch_bounds__()), it is tempting
to use MY_KERNEL_MAX_THREADS as the number of threads per block in the execution
configuration:
// Host code
MyKernel<<>>(...);

This will not work however since __CUDA_ARCH__ is undefined in host code as
mentioned in Application Compatibility, so MyKernel will launch with 256 threads
per block even when __CUDA_ARCH__ is greater or equal to 200. Instead the number of
threads per block should be determined:
‣

‣

Either at compile time using a macro that does not depend on __CUDA_ARCH__, for
example
// Host code
MyKernel<<>>(...);

Or at runtime based on the compute capability

// Host code
cudaGetDeviceProperties(&deviceProp, device);
int threadsPerBlock =
(deviceProp.major >= 2 ?
2 * THREADS_PER_BLOCK : THREADS_PER_BLOCK);
MyKernel<<>>(...);

Register usage is reported by the --ptxas options=-v compiler option. The number
of resident blocks can be derived from the occupancy reported by the CUDA profiler
(see Device Memory Accessesfor a definition of occupancy).
Register usage can also be controlled for all __global__ functions in a file using the
maxrregcount compiler option. The value of maxrregcount is ignored for functions
with launch bounds.

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B.21. #pragma unroll
By default, the compiler unrolls small loops with a known trip count. The #pragma
unroll directive however can be used to control unrolling of any given loop. It must
be placed immediately before the loop and only applies to that loop. It is optionally
followed by a number that specifies how many times the loop must be unrolled.
For example, in this code sample:
#pragma unroll 5
for (int i = 0; i < n; ++i)

the loop will be unrolled 5 times. The compiler will also insert code to ensure correctness
(in the example above, to ensure that there will only be n iterations if n is less than 5,
for example). It is up to the programmer to make sure that the specified unroll number
gives the best performance.
#pragma unroll 1 will prevent the compiler from ever unrolling a loop.

If no number is specified after #pragma unroll, the loop is completely unrolled if its
trip count is constant, otherwise it is not unrolled at all.

B.22. SIMD Video Instructions
PTX ISA version 3.0 includes SIMD (Single Instruction, Multiple Data) video instructions
which operate on pairs of 16-bit values and quads of 8-bit values. These are available on
devices of compute capability 3.0.
The SIMD video instructions are:
‣
‣
‣
‣
‣
‣
‣

vadd2, vadd4
vsub2, vsub4
vavrg2, vavrg4
vabsdiff2, vabsdiff4
vmin2, vmin4
vmax2, vmax4
vset2, vset4

PTX instructions, such as the SIMD video instructions, can be included in CUDA
programs by way of the assembler, asm(), statement.
The basic syntax of an asm() statement is:
asm("template-string" : "constraint"(output) : "constraint"(input)"));

An example of using the vabsdiff4 PTX instruction is:

asm("vabsdiff4.u32.u32.u32.add" " %0, %1, %2, %3;": "=r" (result):"r" (A), "r"
(B), "r" (C));

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This uses the vabsdiff4 instruction to compute an integer quad byte SIMD sum of
absolute differences. The absolute difference value is computed for each byte of the
unsigned integers A and B in SIMD fashion. The optional accumulate operation (.add)
is specified to sum these differences.
Refer to the document "Using Inline PTX Assembly in CUDA" for details on using
the assembly statement in your code. Refer to the PTX ISA documentation ("Parallel
Thread Execution ISA Version 3.0" for example) for details on the PTX instructions for
the version of PTX that you are using.

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Appendix C.
CUDA DYNAMIC PARALLELISM

C.1. Introduction
C.1.1. Overview
Dynamic Parallelism is an extension to the CUDA programming model enabling a CUDA
kernel to create and synchronize with new work directly on the GPU. The creation of
parallelism dynamically at whichever point in a program that it is needed offers exciting
new capabilities.
The ability to create work directly from the GPU can reduce the need to transfer
execution control and data between host and device, as launch configuration decisions
can now be made at runtime by threads executing on the device. Additionally,
data-dependent parallel work can be generated inline within a kernel at run-time,
taking advantage of the GPU's hardware schedulers and load balancers dynamically
and adapting in response to data-driven decisions or workloads. Algorithms and
programming patterns that had previously required modifications to eliminate
recursion, irregular loop structure, or other constructs that do not fit a flat, single-level of
parallelism may more transparently be expressed.
This document describes the extended capabilities of CUDA which enable Dynamic
Parallelism, including the modifications and additions to the CUDA programming
model necessary to take advantage of these, as well as guidelines and best practices for
exploiting this added capacity.
Dynamic Parallelism is only supported by devices of compute capability 3.5 and higher.

C.1.2. Glossary
Definitions for terms used in this guide.
Grid
A Grid is a collection of Threads. Threads in a Grid execute a Kernel Function and are
divided into Thread Blocks.

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Thread Block
A Thread Block is a group of threads which execute on the same multiprocessor
(SMX). Threads within a Thread Block have access to shared memory and can be
explicitly synchronized.
Kernel Function
A Kernel Function is an implicitly parallel subroutine that executes under the CUDA
execution and memory model for every Thread in a Grid.
Host
The Host refers to the execution environment that initially invoked CUDA. Typically
the thread running on a system's CPU processor.
Parent
A Parent Thread, Thread Block, or Grid is one that has launched new grid(s), the Child
Grid(s). The Parent is not considered completed until all of its launched Child Grids
have also completed.
Child
A Child thread, block, or grid is one that has been launched by a Parent grid. A Child
grid must complete before the Parent Thread, Thread Block, or Grid are considered
complete.
Thread Block Scope
Objects with Thread Block Scope have the lifetime of a single Thread Block. They only
have defined behavior when operated on by Threads in the Thread Block that created
the object and are destroyed when the Thread Block that created them is complete.
Device Runtime
The Device Runtime refers to the runtime system and APIs available to enable Kernel
Functions to use Dynamic Parallelism.

C.2. Execution Environment and Memory Model
C.2.1. Execution Environment
The CUDA execution model is based on primitives of threads, thread blocks, and
grids, with kernel functions defining the program executed by individual threads
within a thread block and grid. When a kernel function is invoked the grid's properties
are described by an execution configuration, which has a special syntax in CUDA.
Support for dynamic parallelism in CUDA extends the ability to configure, launch, and
synchronize upon new grids to threads that are running on the device.

C.2.1.1. Parent and Child Grids
A device thread that configures and launches a new grid belongs to the parent grid, and
the grid created by the invocation is a child grid.
The invocation and completion of child grids is properly nested, meaning that the
parent grid is not considered complete until all child grids created by its threads have
completed. Even if the invoking threads do not explicitly synchronize on the child grids

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launched, the runtime guarantees an implicit synchronization between the parent and
child.
Tim e
CPU Thread
Grid A Launch

Grid A Com plete

Grid A Threads
Grid A - Parent

Grid B Launch

Grid B - Child

Grid B Com plete

Grid B Threads

Figure 12 Parent-Child Launch Nesting

C.2.1.2. Scope of CUDA Primitives
On both host and device, the CUDA runtime offers an API for launching kernels,
for waiting for launched work to complete, and for tracking dependencies between
launches via streams and events. On the host system, the state of launches and the
CUDA primitives referencing streams and events are shared by all threads within a
process; however processes execute independently and may not share CUDA objects.
A similar hierarchy exists on the device: launched kernels and CUDA objects are visible
to all threads in a thread block, but are independent between thread blocks. This means
for example that a stream may be created by one thread and used by any other thread in
the same thread block, but may not be shared with threads in any other thread block.

C.2.1.3. Synchronization
CUDA runtime operations from any thread, including kernel launches, are visible across
a thread block. This means that an invoking thread in the parent grid may perform
synchronization on the grids launched by that thread, by other threads in the thread
block, or on streams created within the same thread block. Execution of a thread block
is not considered complete until all launches by all threads in the block have completed.
If all threads in a block exit before all child launches have completed, a synchronization
operation will automatically be triggered.

C.2.1.4. Streams and Events
CUDA Streams and Events allow control over dependencies between grid launches:
grids launched into the same stream execute in-order, and events may be used to create
dependencies between streams. Streams and events created on the device serve this
exact same purpose.

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Streams and events created within a grid exist within thread block scope but have
undefined behavior when used outside of the thread block where they were created. As
described above, all work launched by a thread block is implicitly synchronized when
the block exits; work launched into streams is included in this, with all dependencies
resolved appropriately. The behavior of operations on a stream that has been modified
outside of thread block scope is undefined.
Streams and events created on the host have undefined behavior when used within any
kernel, just as streams and events created by a parent grid have undefined behavior if
used within a child grid.

C.2.1.5. Ordering and Concurrency
The ordering of kernel launches from the device runtime follows CUDA Stream
ordering semantics. Within a thread block, all kernel launches into the same stream are
executed in-order. With multiple threads in the same thread block launching into the
same stream, the ordering within the stream is dependent on the thread scheduling
within the block, which may be controlled with synchronization primitives such as
__syncthreads().
Note that because streams are shared by all threads within a thread block, the implicit
NULL stream is also shared. If multiple threads in a thread block launch into the implicit
stream, then these launches will be executed in-order. If concurrency is desired, explicit
named streams should be used.
Dynamic Parallelism enables concurrency to be expressed more easily within a program;
however, the device runtime introduces no new concurrency guarantees within the
CUDA execution model. There is no guarantee of concurrent execution between any
number of different thread blocks on a device.
The lack of concurrency guarantee extends to parent thread blocks and their child grids.
When a parent thread block launches a child grid, the child is not guaranteed to begin
execution until the parent thread block reaches an explicit synchronization point (e.g.
cudaDeviceSynchronize()).
While concurrency will often easily be achieved, it may vary as a function of
deviceconfiguration, application workload, and runtime scheduling. It is therefore
unsafe to depend upon any concurrency between different thread blocks.

C.2.1.6. Device Management
There is no multi-GPU support from the device runtime; the device runtime is only
capable of operating on the device upon which it is currently executing. It is permitted,
however, to query properties for any CUDA capable device in the system.

C.2.2. Memory Model
Parent and child grids share the same global and constant memory storage, but have
distinct local and shared memory.

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C.2.2.1. Coherence and Consistency
C.2.2.1.1. Global Memory
Parent and child grids have coherent access to global memory, with weak consistency
guarantees between child and parent. There are two points in the execution of a child
grid when its view of memory is fully consistent with the parent thread: when the
child grid is invoked by the parent, and when the child grid completes as signaled by a
synchronization API invocation in the parent thread.
All global memory operations in the parent thread prior to the child grid's invocation are
visible to the child grid. All memory operations of the child grid are visible to the parent
after the parent has synchronized on the child grid's completion.
In the following example, the child grid executing child_launch is only guaranteed
to see the modifications to data made before the child grid was launched. Since thread
0 of the parent is performing the launch, the child will be consistent with the memory
seen by thread 0 of the parent. Due to the first __syncthreads() call, the child will see
data[0]=0, data[1]=1, ..., data[255]=255 (without the __syncthreads() call, only
data[0] would be guaranteed to be seen by the child). When the child grid returns,
thread 0 is guaranteed to see modifications made by the threads in its child grid. Those
modifications become available to the other threads of the parent grid only after the
second __syncthreads() call:
__global__ void child_launch(int *data) {
data[threadIdx.x] = data[threadIdx.x]+1;
}
__global__ void parent_launch(int *data) {
data[threadIdx.x] = threadIdx.x;
__syncthreads();
if (threadIdx.x == 0) {
child_launch<<< 1, 256 >>>(data);
cudaDeviceSynchronize();
}
}

__syncthreads();

void host_launch(int *data) {
parent_launch<<< 1, 256 >>>(data);
}

C.2.2.1.2. Zero Copy Memory
Zero-copy system memory has identical coherence and consistency guarantees to global
memory, and follows the semantics detailed above. A kernel may not allocate or free
zero-copy memory, but may use pointers to zero-copy passed in from the host program.

C.2.2.1.3. Constant Memory
Constants are immutable and may not be modified from the device, even between
parent and child launches. That is to say, the value of all __constant__ variables must

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be set from the host prior to launch. Constant memory is inherited automatically by all
child kernels from their respective parents.
Taking the address of a constant memory object from within a kernel thread has the
same semantics as for all CUDA programs, and passing that pointer from parent to child
or from a child to parent is naturally supported.

C.2.2.1.4. Shared and Local Memory
Shared and Local memory is private to a thread block or thread, respectively, and is not
visible or coherent between parent and child. Behavior is undefined when an object in
one of these locations is referenced outside of the scope within which it belongs, and
may cause an error.
The NVIDIA compiler will attempt to warn if it can detect that a pointer to local or
shared memory is being passed as an argument to a kernel launch. At runtime, the
programmer may use the __isGlobal() intrinsic to determine whether a pointer
references global memory and so may safely be passed to a child launch.
Note that calls to cudaMemcpy*Async() or cudaMemset*Async() may invoke new
child kernels on the device in order to preserve stream semantics. As such, passing
shared or local memory pointers to these APIs is illegal and will return an error.

C.2.2.1.5. Local Memory
Local memory is private storage for an executing thread, and is not visible outside of
that thread. It is illegal to pass a pointer to local memory as a launch argument when
launching a child kernel. The result of dereferencing such a local memory pointer from a
child will be undefined.
For example the following is illegal, with undefined behavior if x_array is accessed by
child_launch:
int x_array[10];
// Creates x_array in parent's local memory
child_launch<<< 1, 1 >>>(x_array);

It is sometimes difficult for a programmer to be aware of when a variable is placed into
local memory by the compiler. As a general rule, all storage passed to a child kernel
should be allocated explicitly from the global-memory heap, either with cudaMalloc(),
new() or by declaring __device__ storage at global scope. For example:
// Correct - "value" is global storage
__device__ int value;
__device__ void x() {
value = 5;
child<<< 1, 1 >>>(&value);
}
// Invalid - "value" is local storage
__device__ void y() {
int value = 5;
child<<< 1, 1 >>>(&value);
}

C.2.2.1.6. Texture Memory
Writes to the global memory region over which a texture is mapped are incoherent with
respect to texture accesses. Coherence for texture memory is enforced at the invocation

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of a child grid and when a child grid completes. This means that writes to memory prior
to a child kernel launch are reflected in texture memory accesses of the child. Similarly,
writes to memory by a child will be reflected in the texture memory accesses by a parent,
but only after the parent synchronizes on the child's completion. Concurrent accesses by
parent and child may result in inconsistent data.

C.3. Programming Interface
C.3.1. CUDA C/C++ Reference
This section describes changes and additions to the CUDA C/C++ language extensions
for supporting Dynamic Parallelism.
The language interface and API available to CUDA kernels using CUDA C/C++ for
Dynamic Parallelism, referred to as the Device Runtime, is substantially like that of the
CUDA Runtime API available on the host. Where possible the syntax and semantics of
the CUDA Runtime API have been retained in order to facilitate ease of code reuse for
routines that may run in either the host or device environments.
As with all code in CUDA C/C++, the APIs and code outlined here is per-thread code.
This enables each thread to make unique, dynamic decisions regarding what kernel or
operation to execute next. There are no synchronization requirements between threads
within a block to execute any of the provided device runtime APIs, which enables the
device runtime API functions to be called in arbitrarily divergent kernel code without
deadlock.

C.3.1.1. Device-Side Kernel Launch
Kernels may be launched from the device using the standard CUDA <<< >>> syntax:
kernel_name<<< Dg, Db, Ns, S >>>([kernel arguments]);

‣
‣
‣
‣

Dg is of type dim3 and specifies the dimensions and size of the grid
Db is of type dim3 and specifies the dimensions and size of each thread block
Ns is of type size_t and specifies the number of bytes of shared memory that

is dynamically allocated per thread block for this call and addition to statically
allocated memory. Ns is an optional argument that defaults to 0.
S is of type cudaStream_t and specifies the stream associated with this call. The
stream must have been allocated in the same thread block where the call is being
made. S is an optional argument that defaults to 0.

C.3.1.1.1. Launches are Asynchronous
Identical to host-side launches, all device-side kernel launches are asynchronous with
respect to the launching thread. That is to say, the <<<>>> launch command will return
immediately and the launching thread will continue to execute until it hits an explicit
launch-synchronization point such as cudaDeviceSynchronize(). The grid launch is
posted to the device and will execute independently of the parent thread. The child grid

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may begin execution at any time after launch, but is not guaranteed to begin execution
until the launching thread reaches an explicit launch-synchronization point.

C.3.1.1.2. Launch Environment Configuration
All global device configuration settings (e.g., shared memory and L1 cache size as
returned from cudaDeviceGetCacheConfig(), and device limits returned from
cudaDeviceGetLimit()) will be inherited from the parent. That is to say if, when the
parent is launched, execution is configured globally for 16k of shared memory and 48k
of L1 cache, then the child's execution state will be configured identically. Likewise,
device limits such as stack size will remain as-configured.
For host-launched kernels, per-kernel configurations set from the host will take
precedence over the global setting. These configurations will be used when the kernel is
launched from the device as well. It is not possible to reconfigure a kernel's environment
from the device.

C.3.1.1.3. Launch from __host__ __device__ Functions
Although the device runtime enables kernel launches from either the host or device,
kernel launches from __host__ __device__ functions are unsupported. The compiler
will fail to compile if a __host__ device__ function is used to launch a kernel.

C.3.1.2. Streams
Both named and unnamed (NULL) streams are available from the device runtime.
Named streams may be used by any thread within a thread-block, but stream handles
may not be passed to other blocks or child/parent kernels. In other words, a stream
should be treated as private to the block in which it is created. Stream handles are not
guaranteed to be unique between blocks, so using a stream handle within a block that
did not allocate it will result in undefined behavior.
Similar to host-side launch, work launched into separate streams may run concurrently,
but actual concurrency is not guaranteed. Programs that depend upon concurrency
between child kernels are not supported by the CUDA programming model and will
have undefined behavior.
The host-side NULL stream's cross-stream barrier semantic is not supported on the
device (see below for details). In order to retain semantic compatibility with the host
runtime, all device streams must be created using the cudaStreamCreateWithFlags()
API, passing the cudaStreamNonBlocking flag. The cudaStreamCreate() call is a
host-runtime- only API and will fail to compile for the device.
As cudaStreamSynchronize() and cudaStreamQuery() are unsupported by
the device runtime, cudaDeviceSynchronize() should be used instead when the
application needs to know that stream-launched child kernels have completed.

C.3.1.2.1. The Implicit (NULL) Stream
Within a host program, the unnamed (NULL) stream has additional barrier
synchronization semantics with other streams (see Default Stream for details). The
device runtime offers a single implicit, unnamed stream shared between all threads in

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a block, but as all named streams must be created with the cudaStreamNonBlocking
flag, work launched into the NULL stream will not insert an implicit dependency on
pending work in any other streams.

C.3.1.3. Events
Only the inter-stream synchronization capabilities of CUDA events are
supported. This means that cudaStreamWaitEvent() is supported, but
cudaEventSynchronize(), cudaEventElapsedTime(), and cudaEventQuery() are
not. As cudaEventElapsedTime() is not supported, cudaEvents must be created via
cudaEventCreateWithFlags(), passing the cudaEventDisableTiming flag.
As for all device runtime objects, event objects may be shared between all threads
withinthe thread-block which created them but are local to that block and may not be
passed to other kernels, or between blocks within the same kernel. Event handles are not
guaranteed to be unique between blocks, so using an event handle within a block that
did not create it will result in undefined behavior.

C.3.1.4. Synchronization
The cudaDeviceSynchronize() function will synchronize on all work launched by
any thread in the thread-block up to the point where cudaDeviceSynchronize() was
called. Note that cudaDeviceSynchronize() may be called from within divergent
code (see Block Wide Synchronization).
It is up to the program to perform sufficient additional inter-thread synchronization, for
example via a call to __syncthreads(), if the calling thread is intended to synchronize
with child grids invoked from other threads.

C.3.1.4.1. Block Wide Synchronization
The cudaDeviceSynchronize() function does not imply intra-block synchronization.
In particular, without explicit synchronization via a __syncthreads() directive
the calling thread can make no assumptions about what work has been launched by
any thread other than itself. For example if multiple threads within a block are each
launching work and synchronization is desired for all this work at once (perhaps
because of event-based dependencies), it is up to the program to guarantee that this
work is submitted by all threads before calling cudaDeviceSynchronize().
Because the implementation is permitted to synchronize on launches from any thread in
the block, it is quite possible that simultaneous calls to cudaDeviceSynchronize() by
multiple threads will drain all work in the first call and then have no effect for the later
calls.

C.3.1.5. Device Management
Only the device on which a kernel is running will be controllable from that kernel.
This means that device APIs such as cudaSetDevice() are not supported by
the device runtime. The active device as seen from the GPU (returned from
cudaGetDevice()) will have the same device number as seen from the host system.
The cudaGetDeviceProperty() call may request information about another device

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as this API allows specification of a device ID as a parameter of the call. Note that the
catch-all cudaGetDeviceProperties() API is not offered by the device runtime properties must be queried individually.

C.3.1.6. Memory Declarations
C.3.1.6.1. Device and Constant Memory
Memory declared at file scope with __device__ or __constant__ qualifiers behave
identically when using the device runtime. All kernels may read or write device
variables, whether the kernel was initially launched by the host or device runtime.
Equivalently, all kernels will have the same view of __constant__s as declared at the
module scope.

C.3.1.6.2. Textures & Surfaces
CUDA supports dynamically created texture and surface objects1, where a texture
reference may be created on the host, passed to a kernel, used by that kernel, and then
destroyed from the host. The device runtime does not allow creation or destruction
of texture or surface objects from within device code, but texture and surface objects
created from the host may be used and passed around freely on the device. Regardless
of where they are created, dynamically created texture objects are always valid and may
be passed to child kernels from a parent.
The device runtime does not support legacy module-scope (i.e., Fermi-style) textures
and surfaces within a kernel launched from the device. Module-scope (legacy)
textures may be created from the host and used in device code as for any kernel,
but may only be used by a top-level kernel (i.e., the one which is launched from the
host).

C.3.1.6.3. Shared Memory Variable Declarations
In CUDA C/C++ shared memory can be declared either as a statically sized file-scope or
function-scoped variable, or as an extern variable with the size determined at runtime
by the kernel's caller via a launch configuration argument. Both types of declarations are
valid under the device runtime.

1

Dynamically created texture and surface objects are an addition to the CUDA memory model introduced with CUDA
5.0. Please see the CUDA Programming Guide for details.

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__global__ void permute(int n, int *data) {
extern __shared__ int smem[];
if (n <= 1)
return;
smem[threadIdx.x] = data[threadIdx.x];
__syncthreads();
permute_data(smem, n);
__syncthreads();
// Write back to GMEM since we can't pass SMEM to children.
data[threadIdx.x] = smem[threadIdx.x];
__syncthreads();

}

if (threadIdx.x == 0) {
permute<<< 1, 256, n/2*sizeof(int) >>>(n/2, data);
permute<<< 1, 256, n/2*sizeof(int) >>>(n/2, data+n/2);
}

void host_launch(int *data) {
permute<<< 1, 256, 256*sizeof(int) >>>(256, data);
}

C.3.1.6.4. Symbol Addresses
Device-side symbols (i.e., those marked __device__) may be referenced from within a
kernel simply via the & operator, as all global-scope device variables are in the kernel's
visible address space. This also applies to __constant__ symbols, although in this case
the pointer will reference read-only data.
Given that device-side symbols can be referenced directly, those CUDA
runtime APIs which reference symbols (e.g., cudaMemcpyToSymbol() or
cudaGetSymbolAddress()) are redundant and hence not supported by the device
runtime. Note this implies that constant data cannot be altered from within a running
kernel, even ahead of a child kernel launch, as references to __constant__ space are
read-only.

C.3.1.7. API Errors and Launch Failures
As usual for the CUDA runtime, any function may return an error code. The last error
code returned is recorded and may be retrieved via the cudaGetLastError() call.
Errors are recorded per-thread, so that each thread can identify the most recent error
that it has generated. The error code is of type cudaError_t.
Similar to a host-side launch, device-side launches may fail for many reasons (invalid
arguments, etc). The user must call cudaGetLastError() to determine if a launch
generated an error, however lack of an error after launch does not imply the child kernel
completed successfully.
For device-side exceptions, e.g., access to an invalid address, an error in a child
grid will be returned to the host instead of being returned by the parent's call to
cudaDeviceSynchronize().

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C.3.1.7.1. Launch Setup APIs
Kernel launch is a system-level mechanism exposed through the device
runtime library, and as such is available directly from PTX via the underlying
cudaGetParameterBuffer() and cudaLaunchDevice() APIs. It is permitted for
a CUDA application to call these APIs itself, with the same requirements as for PTX.
In both cases, the user is then responsible for correctly populating all necessary data
structures in the correct format according to specification. Backwards compatibility is
guaranteed in these data structures.
As with host-side launch, the device-side operator <<<>>> maps to underlying kernel
launch APIs. This is so that users targeting PTX will be able to enact a launch, and so
that the compiler front-end can translate <<<>>> into these calls.

Table 4 New Device-only Launch Implementation Functions

Runtime API Launch Functions

Description of Difference From Host
Runtime Behaviour (behaviour is identical if
no description)

cudaGetParameterBuffer

Generated automatically from <<<>>>. Note
different API to host equivalent.

cudaLaunchDevice

Generated automatically from <<<>>>. Note
different API to host equivalent.

The APIs for these launch functions are different to those of the CUDA Runtime API,
and are defined as follows:
extern
device
cudaError_t cudaGetParameterBuffer(void **params);
extern __device__ cudaError_t cudaLaunchDevice(void *kernel,
void *params, dim3 gridDim,
dim3 blockDim,
unsigned int sharedMemSize = 0,
cudaStream_t stream = 0);

C.3.1.8. API Reference
The portions of the CUDA Runtime API supported in the device runtime are detailed
here. Host and device runtime APIs have identical syntax; semantics are the same except
where indicated. The table below provides an overview of the API relative to the version
available from the host.

Table 5 Supported API Functions
Runtime API Functions

Details

cudaDeviceSynchronize

Synchronizes on work launched from thread's own
block only

cudaDeviceGetCacheConfig
cudaDeviceGetLimit
cudaGetLastError

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Runtime API Functions

Details

cudaPeekAtLastError
cudaGetErrorString
cudaGetDeviceCount
cudaGetDeviceProperty

Will return properties for any device

cudaGetDevice

Always returns current device ID as would be seen
from host

cudaStreamCreateWithFlags

Must pass cudaStreamNonBlocking flag

cudaStreamDestroy
cudaStreamWaitEvent
cudaEventCreateWithFlags

Must pass cudaEventDisableTiming flag

cudaEventRecord
cudaEventDestroy
cudaFuncGetAttributes
cudaMemcpyAsync

Notes about all memcpy/memset functions:

cudaMemcpy2DAsync

‣

cudaMemcpy3DAsync
cudaMemsetAsync

‣
‣

Only async memcpy/set functions are
supported
Only device-to-device memcpy is permitted
May not pass in local or shared memory
pointers

cudaMemset2DAsync
cudaMemset3DAsync
cudaRuntimeGetVersion
cudaMalloc
cudaFree

May not call cudaFree on the device on a pointer
created on the host, and vice-versa

cudaOccupancyMaxActiveBlocksPerMultiprocessor
cudaOccupancyMaxPotentialBlockSize
cudaOccupancyMaxPotentialBlockSizeVariableSMem

C.3.2. Device-side Launch from PTX
This section is for the programming language and compiler implementers who target
Parallel Thread Execution (PTX) and plan to support Dynamic Parallelism in their language.
It provides the low-level details related to supporting kernel launches at the PTX level.

C.3.2.1. Kernel Launch APIs
Device-side kernel launches can be implemented using the following two APIs
accessible from PTX: cudaLaunchDevice() and cudaGetParameterBuffer().
cudaLaunchDevice() launches the specified kernel with the parameter buffer that
is obtained by calling cudaGetParameterBuffer() and filled with the parameters

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to the launched kernel. The parameter buffer can be NULL, i.e., no need to invoke
cudaGetParameterBuffer(), if the launched kernel does not take any parameters.

C.3.2.1.1. cudaLaunchDevice
At the PTX level, cudaLaunchDevice()needs to be declared in one of the two forms
shown below before it is used.
// PTX-level Declaration of cudaLaunchDevice() when .address_size is 64
.extern .func(.param .b32 func_retval0) cudaLaunchDevice
(
.param .b64 func,
.param .b64 parameterBuffer,
.param .align 4 .b8 gridDimension[12],
.param .align 4 .b8 blockDimension[12],
.param .b32 sharedMemSize,
.param .b64 stream
)
;
// PTX-level Declaration of cudaLaunchDevice() when .address_size is 32
.extern .func(.param .b32 func_retval0) cudaLaunchDevice
(
.param .b32 func,
.param .b32 parameterBuffer,
.param .align 4 .b8 gridDimension[12],
.param .align 4 .b8 blockDimension[12],
.param .b32 sharedMemSize,
.param .b32 stream
)
;

The CUDA-level declaration below is mapped to one of the aforementioned PTX-level
declarations and is found in the system header file cuda_device_runtime_api.h.
The function is defined in the cudadevrt system library, which must be linked with a
program in order to use device-side kernel launch functionality.
// CUDA-level declaration of cudaLaunchDevice()
extern "C" __device__
cudaError_t cudaLaunchDevice(void *func, void *parameterBuffer,
dim3 gridDimension, dim3 blockDimension,
unsigned int sharedMemSize,
cudaStream_t stream);

The first parameter is a pointer to the kernel to be is launched, and the second parameter
is the parameter buffer that holds the actual parameters to the launched kernel. The
layout of the parameter buffer is explained in Parameter Buffer Layout, below. Other
parameters specify the launch configuration, i.e., as grid dimension, block dimension,
shared memory size, and the stream associated with the launch (please refer to
Execution Configuration for the detailed description of launch configuration.

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C.3.2.1.2. cudaGetParameterBuffer
cudaGetParameterBuffer() needs to be declared at the PTX level before it's used.

The PTX-level declaration must be in one of the two forms given below, depending on
address size:
// PTX-level Declaration of cudaGetParameterBuffer() when .address_size is 64
// When .address_size is 64
.extern .func(.param .b64 func_retval0) cudaGetParameterBuffer
(
.param .b64 alignment,
.param .b64 size
)
;
// PTX-level Declaration of cudaGetParameterBuffer() when .address_size is 32
.extern .func(.param .b32 func_retval0) cudaGetParameterBuffer
(
.param .b32 alignment,
.param .b32 size
)
;

The following CUDA-level declaration of cudaGetParameterBuffer() is mapped to
the aforementioned PTX-level declaration:
// CUDA-level Declaration of cudaGetParameterBuffer()
extern "C" __device__
void *cudaGetParameterBuffer(size_t alignment, size_t size);

The first parameter specifies the alignment requirement of the parameter buffer and
the second parameter the size requirement in bytes. In the current implementation, the
parameter buffer returned by cudaGetParameterBuffer() is always guaranteed to
be 64- byte aligned, and the alignment requirement parameter is ignored. However,
it is recommended to pass the correct alignment requirement value - which is
the largest alignment of any parameter to be placed in the parameter buffer - to
cudaGetParameterBuffer() to ensure portability in the future.

C.3.2.2. Parameter Buffer Layout
Parameter reordering in the parameter buffer is prohibited, and each individual
parameter placed in the parameter buffer is required to be aligned. That is, each
parameter must be placed at the nth byte in the parameter buffer, where n is the smallest
multiple of the parameter size that is greater than the offset of the last byte taken by the
preceding parameter. The maximum size of the parameter buffer is 4KB.
For a more detailed description of PTX code generated by the CUDA compiler, please
refer to the PTX-3.5 specification.

C.3.3. Toolkit Support for Dynamic Parallelism
C.3.3.1. Including Device Runtime API in CUDA Code
Similar to the host-side runtime API, prototypes for the CUDA device runtime API
are included automatically during program compilation. There is no need to include
cuda_device_runtime_api.h explicitly.

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C.3.3.2. Compiling and Linking
CUDA programs are automatically linked with the host runtime library when compiled
with nvcc, but the device runtime is shipped as a static library which must explicitly be
linked with a program which wishes to use it.
The device runtime is offered as a static library (cudadevrt.lib on Windows,
libcudadevrt.a under Linux and MacOS), against which a GPU application that uses
the device runtime must be linked. Linking of device libraries can be accomplished
through nvcc and/or nvlink. Two simple examples are shown below.
A device runtime program may be compiled and linked in a single step, if all required
source files can be specified from the command line:
$ nvcc -arch=sm_35 -rdc=true hello_world.cu -o hello -lcudadevrt

It is also possible to compile CUDA .cu source files first to object files, and then link
these together in a two-stage process:
$ nvcc -arch=sm_35 -dc hello_world.cu -o hello_world.o
$ nvcc -arch=sm_35 -rdc=true hello_world.o -o hello -lcudadevrt

Please see the Using Separate Compilation section of The CUDA Driver Compiler NVCC
guide for more details.

C.4. Programming Guidelines
C.4.1. Basics
The device runtime is a functional subset of the host runtime. API level device
management, kernel launching, device memcpy, stream management, and event
management are exposed from the device runtime.
Programming for the device runtime should be familiar to someone who already has
experience with CUDA. Device runtime syntax and semantics are largely the same as
that of the host API, with any exceptions detailed earlier in this document.

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The following example shows a simple Hello World program incorporating dynamic
parallelism:
#include 
__global__ void childKernel()
{
printf("Hello ");
}
__global__ void parentKernel()
{
// launch child
childKernel<<<1,1>>>();
if (cudaSuccess != cudaGetLastError()) {
return;
}
// wait for child to complete
if (cudaSuccess != cudaDeviceSynchronize()) {
return;
}
}

printf("World!\n");

int main(int argc, char *argv[])
{
// launch parent
parentKernel<<<1,1>>>();
if (cudaSuccess != cudaGetLastError()) {
return 1;
}
// wait for parent to complete
if (cudaSuccess != cudaDeviceSynchronize()) {
return 2;
}
}

return 0;

This program may be built in a single step from the command line as follows:
$ nvcc -arch=sm_35 -rdc=true hello_world.cu -o hello -lcudadevrt

C.4.2. Performance
C.4.2.1. Synchronization
Synchronization by one thread may impact the performance of other threads in the same
Thread Block, even when those other threads do not call cudaDeviceSynchronize()
themselves. This impact will depend upon the underlying implementation.

C.4.2.2. Dynamic-parallelism-enabled Kernel Overhead
System software which is active when controlling dynamic launches may impose an
overhead on any kernel which is running at the time, whether or not it invokes kernel
launches of its own. This overhead arises from the device runtime's execution tracking
and management software and may result in decreased performance for e.g., library

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calls when made from the device compared to from the host side. This overhead is, in
general, incurred for applications that link against the device runtime library.

C.4.3. Implementation Restrictions and Limitations
Dynamic Parallelism guarantees all semantics described in this document, however,
certain hardware and software resources are implementation-dependent and limit the
scale, performance and other properties of a program which uses the device runtime.

C.4.3.1. Runtime
C.4.3.1.1. Memory Footprint
The device runtime system software reserves memory for various management
purposes, in particular one reservation which is used for saving parent-grid state
during synchronization, and a second reservation for tracking pending grid launches.
Configuration controls are available to reduce the size of these reservations in exchange
for certain launch limitations. See Configuration Options, below, for details.
The majority of reserved memory is allocated as backing-store for parent kernel state, for
use when synchronizing on a child launch. Conservatively, this memory must support
storing of state for the maximum number of live threads possible on the device. This
means that each parent generation at which cudaDeviceSynchronize() is callable
may require up to 150MB of device memory, depending on the device configuration,
which will be unavailable for program use even if it is not all consumed.

C.4.3.1.2. Nesting and Synchronization Depth
Using the device runtime, one kernel may launch another kernel, and that kernel may
launch another, and so on. Each subordinate launch is considered a new nesting level,
and the total number of levels is the nesting depth of the program. The synchronization
depth is defined as the deepest level at which the program will explicitly synchronize
on a child launch. Typically this is one less than the nesting depth of the program, but
if the program does not need to call cudaDeviceSynchronize() at all levels then the
synchronization depth might be substantially different to the nesting depth.
The overall maximum nesting depth is limited to 24, but practically speaking the real
limit will be the amount of memory required by the system for each new level (see
Memory Footprint above). Any launch which would result in a kernel at a deeper level
than the maximum will fail. Note that this may also apply to cudaMemcpyAsync(),
which might itself generate a kernel launch. See Configuration Options for details.
By default, sufficient storage is reserved for two levels of synchronization. This
maximum synchronization depth (and hence reserved storage) may be controlled by
calling cudaDeviceSetLimit() and specifying cudaLimitDevRuntimeSyncDepth.
The number of levels to be supported must be configured before the top-level kernel is
launched from the host, in order to guarantee successful execution of a nested program.
Calling cudaDeviceSynchronize() at a depth greater than the specified maximum
synchronization depth will return an error.

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An optimization is permitted where the system detects that it need not
reserve space for the parent's state in cases where the parent kernel never calls
cudaDeviceSynchronize(). In this case, because explicit parent/child synchronization
never occurs, the memory footprint required for a program will be much less than
the conservative maximum. Such a program could specify a shallower maximum
synchronization depth to avoid over-allocation of backing store.

C.4.3.1.3. Pending Kernel Launches
When a kernel is launched, all associated configuration and parameter data is tracked
until the kernel completes. This data is stored within a system-managed launch pool.
The launch pool is divided into a fixed-size pool and a virtualized pool with lower
performance. The device runtime system software will try to track launch data in the
fixed-size pool first. The virtualized pool will be used to track new launches when the
fixed-size pool is full.
The size of the fixed-size launch pool is configurable by
calling cudaDeviceSetLimit() from the host and specifying
cudaLimitDevRuntimePendingLaunchCount.

C.4.3.1.4. Configuration Options
Resource allocation for the device runtime system software is controlled via the
cudaDeviceSetLimit() API from the host program. Limits must be set before
any kernel is launched, and may not be changed while the GPU is actively running
programs.
The following named limits may be set:
Limit

Behavior

cudaLimitDevRuntimeSyncDepth

Sets the maximum depth at which
cudaDeviceSynchronize() may be
called. Launches may be performed deeper
than this, but explicit synchronization
deeper than this limit will return the
cudaErrorLaunchMaxDepthExceeded. The
default maximum sync depth is 2.

cudaLimitDevRuntimePendingLaunchCount

Controls the amount of memory set aside for
buffering kernel launches which have not yet
begun to execute, due either to unresolved
dependencies or lack of execution resources.
When the buffer is full, the device runtime
system software will attempt to track new
pending launches in a lower performance
virtualized buffer. If the virtualized buffer
is also full, i.e. when all available heap
space is consumed, launches will not occur,
and the thread's last error will be set to
cudaErrorLaunchPendingCountExceeded.
The default pending launch count is 2048
launches.

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C.4.3.1.5. Memory Allocation and Lifetime
cudaMalloc() and cudaFree() have distinct semantics between the host and device
environments. When invoked from the host, cudaMalloc() allocates a new region from

unused device memory. When invoked from the device runtime these functions map
to device-side malloc() and free(). This implies that within the device environment
the total allocatable memory is limited to the device malloc() heap size, which may
be smaller than the available unused device memory. Also, it is an error to invoke
cudaFree() from the host program on a pointer which was allocated by cudaMalloc()
on the device or vice-versa.
cudaMalloc() on Host

cudaMalloc() on Device

cudaFree() on Host

Supported

Not Supported

cudaFree() on Device

Not Supported

Supported

Allocation limit

Free device memory

cudaLimitMallocHeapSize

C.4.3.1.6. SM Id and Warp Id
Note that in PTX %smid and %warpid are defined as volatile values. The device runtime
may reschedule thread blocks onto different SMs in order to more efficiently manage
resources. As such, it is unsafe to rely upon %smid or %warpid remaining unchanged
across the lifetime of a thread or thread block.

C.4.3.1.7. ECC Errors
No notification of ECC errors is available to code within a CUDA kernel. ECC errors
are reported at the host side once the entire launch tree has completed. Any ECC errors
which arise during execution of a nested program will either generate an exception or
continue execution (depending upon error and configuration).

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Appendix D.
MATHEMATICAL FUNCTIONS

The reference manual lists, along with their description, all the functions of the C/C++
standard library mathematical functions that are supported in device code, as well as all
intrinsic functions (that are only supported in device code).
This appendix provides accuracy information for some of these functions when
applicable.

D.1. Standard Functions
The functions from this section can be used in both host and device code.
This section specifies the error bounds of each function when executed on the device and
also when executed on the host in the case where the host does not supply the function.
The error bounds are generated from extensive but not exhaustive tests, so they are not
guaranteed bounds.
Single-Precision Floating-Point Functions
Addition and multiplication are IEEE-compliant, so have a maximum error of 0.5 ulp.
The recommended way to round a single-precision floating-point operand to an
integer, with the result being a single-precision floating-point number is rintf(),
not roundf(). The reason is that roundf() maps to an 8-instruction sequence on
the device, whereas rintf() maps to a single instruction. truncf(), ceilf(), and
floorf() each map to a single instruction as well.

Table 6 Single-Precision Mathematical Standard Library Functions with
Maximum ULP Error
The maximum error is stated as the absolute value of the difference in ulps between a
correctly rounded single-precision result and the result returned by the CUDA library
function.

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Mathematical Functions

Function

Maximum ulp error

x+y

0 (IEEE-754 round-to-nearest-even)

x*y

0 (IEEE-754 round-to-nearest-even)

x/y

0 for compute capability ≥ 2 when compiled with -precdiv=true

2 (full range), otherwise
1/x

0 for compute capability ≥ 2 when compiled with -precdiv=true

1 (full range), otherwise
rsqrtf(x)

2 (full range)

1/sqrtf(x)

Applies to 1/sqrtf(x) only when it is converted to

sqrtf(x)

0 for compute capability ≥ 2 when compiled with -prec-

rsqrtf(x) by the compiler.

sqrt=true

3 (full range), otherwise
cbrtf(x)

1 (full range)

rcbrtf(x)

1 (full range)

hypotf(x,y)

3 (full range)

rhypotf(x,y)

2 (full range)

norm3df(x,y,z)

3 (full range)

rnorm3df(x,y,z)

2 (full range)

norm4df(x,y,z,t)

3 (full range)

rnorm4df(x,y,z,t)

2 (full range)

normf(dim,arr)

4 (full range)

rnormf(dim,arr)

3 (full range)

expf(x)

2 (full range)

exp2f(x)

2 (full range)

exp10f(x)

2 (full range)

expm1f(x)

1 (full range)

logf(x)

1 (full range)

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Function

Maximum ulp error

log2f(x)

2 (full range)

log10f(x)

2 (full range)

log1pf(x)

2 (full range)

sinf(x)

2 (full range)

cosf(x)

2 (full range)

tanf(x)

4 (full range)

sincosf(x,sptr,cptr)

2 (full range)

sinpif(x)

2 (full range)

cospif(x)

2 (full range)

sincospif(x,sptr,cptr)

2 (full range)

asinf(x)

4 (full range)

acosf(x)

3 (full range)

atanf(x)

2 (full range)

atan2f(y,x)

3 (full range)

sinhf(x)

3 (full range)

coshf(x)

2 (full range)

tanhf(x)

2 (full range)

asinhf(x)

3 (full range)

acoshf(x)

4 (full range)

atanhf(x)

3 (full range)

powf(x,y)

8 (full range)

erff(x)

2 (full range)

erfcf(x)

4 (full range)

erfinvf(x)

2 (full range)

erfcinvf(x)

2 (full range)

erfcxf(x)

4 (full range)

normcdff(x)

5 (full range)

normcdfinvf(x)

5 (full range)

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Mathematical Functions

Function

Maximum ulp error

lgammaf(x)

6 (outside interval -10.001 ... -2.264; larger inside)

tgammaf(x)

11 (full range)

fmaf(x,y,z)

0 (full range)

frexpf(x,exp)

0 (full range)

ldexpf(x,exp)

0 (full range)

scalbnf(x,n)

0 (full range)

scalblnf(x,l)

0 (full range)

logbf(x)

0 (full range)

ilogbf(x)

0 (full range)

j0f(x)

9 for |x| < 8
-6

otherwise, the maximum absolute error is 2.2 x 10
j1f(x)

9 for |x| < 8
-6

otherwise, the maximum absolute error is 2.2 x 10

-6

jnf(x)

For n = 128, the maximum absolute error is 2.2 x 10

y0f(x)

9 for |x| < 8
-6

otherwise, the maximum absolute error is 2.2 x 10
y1f(x)

9 for |x| < 8
-6

otherwise, the maximum absolute error is 2.2 x 10
ynf(x)

ceil(2 + 2.5n) for |x| < n
-6

otherwise, the maximum absolute error is 2.2 x 10
cyl_bessel_i0f(x)

6 (full range)

cyl_bessel_i1f(x)

6 (full range)

fmodf(x,y)

0 (full range)

remainderf(x,y)

0 (full range)

remquof(x,y,iptr)

0 (full range)

modff(x,iptr)

0 (full range)

fdimf(x,y)

0 (full range)

truncf(x)

0 (full range)

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Function

Maximum ulp error

roundf(x)

0 (full range)

rintf(x)

0 (full range)

nearbyintf(x)

0 (full range)

ceilf(x)

0 (full range)

floorf(x)

0 (full range)

lrintf(x)

0 (full range)

lroundf(x)

0 (full range)

llrintf(x)

0 (full range)

llroundf(x)

0 (full range)

Double-Precision Floating-Point Functions
The recommended way to round a double-precision floating-point operand to an
integer, with the result being a double-precision floating-point number is rint(), not
round(). The reason is that round() maps to an 8-instruction sequence on the device,
whereas rint() maps to a single instruction. trunc(), ceil(), and floor() each map
to a single instruction as well.

Table 7 Double-Precision Mathematical Standard Library Functions with
Maximum ULP Error
The maximum error is stated as the absolute value of the difference in ulps between a
correctly rounded double-precision result and the result returned by the CUDA library
function.
Function

Maximum ulp error

x+y

0 (IEEE-754 round-to-nearest-even)

x*y

0 (IEEE-754 round-to-nearest-even)

x/y

0 (IEEE-754 round-to-nearest-even)

1/x

0 (IEEE-754 round-to-nearest-even)

sqrt(x)

0 (IEEE-754 round-to-nearest-even)

rsqrt(x)

1 (full range)

cbrt(x)

1 (full range)

rcbrt(x)

1 (full range)

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Function

Maximum ulp error

hypot(x,y)

2 (full range)

rhypot(x,y)

1 (full range)

norm3d(x,y,z)

2 (full range)

rnorm3d(x,y,z)

1 (full range)

norm4d(x,y,z,t)

2 (full range)

rnorm4d(x,y,z,t)

1 (full range)

norm(dim,arr)

3 (full range)

rnorm(dim,arr)

2 (full range)

exp(x)

1 (full range)

exp2(x)

1 (full range)

exp10(x)

1 (full range)

expm1(x)

1 (full range)

log(x)

1 (full range)

log2(x)

1 (full range)

log10(x)

1 (full range)

log1p(x)

1 (full range)

sin(x)

1 (full range)

cos(x)

1 (full range)

tan(x)

2 (full range)

sincos(x,sptr,cptr)

1 (full range)

sinpi(x)

1 (full range)

cospi(x)

1 (full range)

sincospi(x,sptr,cptr)

1 (full range)

asin(x)

2 (full range)

acos(x)

1 (full range)

atan(x)

2 (full range)

atan2(y,x)

2 (full range)

sinh(x)

1 (full range)

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Function

Maximum ulp error

cosh(x)

1 (full range)

tanh(x)

1 (full range)

asinh(x)

2 (full range)

acosh(x)

2 (full range)

atanh(x)

2 (full range)

pow(x,y)

2 (full range)

erf(x)

2 (full range)

erfc(x)

4 (full range)

erfinv(x)

5 (full range)

erfcinv(x)

6 (full range)

erfcx(x)

3 (full range)

normcdf(x)

5 (full range)

normcdfinv(x)

7 (full range)

lgamma(x)

4 (outside interval -11.0001 ... -2.2637; larger
inside)

tgamma(x)

8 (full range)

fma(x,y,z)

0 (IEEE-754 round-to-nearest-even)

frexp(x,exp)

0 (full range)

ldexp(x,exp)

0 (full range)

scalbn(x,n)

0 (full range)

scalbln(x,l)

0 (full range)

logb(x)

0 (full range)

ilogb(x)

0 (full range)

j0(x)

7 for |x| < 8
otherwise, the maximum absolute error is 5 x
10

j1(x)

-12

7 for |x| < 8
otherwise, the maximum absolute error is 5 x
10

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Mathematical Functions

Function

Maximum ulp error

jn(x)

For n = 128, the maximum absolute error is 5 x
10

y0(x)

-12

7 for |x| < 8
otherwise, the maximum absolute error is 5 x
10

y1(x)

-12

7 for |x| < 8
otherwise, the maximum absolute error is 5 x
10

yn(x)

-12

For |x| > 1.5n, the maximum absolute error is 5
x 10

-12

cyl_bessel_i0(x)

6 (full range)

cyl_bessel_i1(x)

6 (full range)

fmod(x,y)

0 (full range)

remainder(x,y)

0 (full range)

remquo(x,y,iptr)

0 (full range)

mod(x,iptr)

0 (full range)

fdim(x,y)

0 (full range)

trunc(x)

0 (full range)

round(x)

0 (full range)

rint(x)

0 (full range)

nearbyint(x)

0 (full range)

ceil(x)

0 (full range)

floor(x)

0 (full range)

lrint(x)

0 (full range)

lround(x)

0 (full range)

llrint(x)

0 (full range)

llround(x)

0 (full range)

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Mathematical Functions

D.2. Intrinsic Functions
The functions from this section can only be used in device code.
Among these functions are the less accurate, but faster versions of some of the functions
of Standard Functions .They have the same name prefixed with __ (such as __sinf(x)).
They are faster as they map to fewer native instructions. The compiler has an option
(-use_fast_math) that forces each function in Table 8 to compile to its intrinsic
counterpart. In addition to reducing the accuracy of the affected functions, it may
also cause some differences in special case handling. A more robust approach is to
selectively replace mathematical function calls by calls to intrinsic functions only where
it is merited by the performance gains and where changed properties such as reduced
accuracy and different special case handling can be tolerated.

Table 8 Functions Affected by -use_fast_math
Operator/Function

Device Function

x/y

__fdividef(x,y)

sinf(x)

__sinf(x)

cosf(x)

__cosf(x)

tanf(x)

__tanf(x)

sincosf(x,sptr,cptr)

__sincosf(x,sptr,cptr)

logf(x)

__logf(x)

log2f(x)

__log2f(x)

log10f(x)

__log10f(x)

expf(x)

__expf(x)

exp10f(x)

__exp10f(x)

powf(x,y)

__powf(x,y)

Functions suffixed with _rn operate using the round to nearest even rounding mode.
Functions suffixed with _rz operate using the round towards zero rounding mode.

Functions suffixed with _ru operate using the round up (to positive infinity) rounding
mode.
Functions suffixed with _rd operate using the round down (to negative infinity)
rounding mode.
Single-Precision Floating-Point Functions
__fadd_[rn,rz,ru,rd]() and __fmul_[rn,rz,ru,rd]() map to addition and

multiplication operations that the compiler never merges into FMADs. By contrast,

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Mathematical Functions

additions and multiplications generated from the '*' and '+' operators will frequently be
combined into FMADs.
The accuracy of floating-point division varies depending on whether the code is
compiled with -prec-div=false or -prec-div=true. When the code is compiled
with -prec-div=false, both the regular division / operator and __fdividef(x,y)
have the same accuracy, but for 2126 < y < 2128, __fdividef(x,y) delivers a result of
zero, whereas the / operator delivers the correct result to within the accuracy stated
in Table 9. Also, for 2126 < y < 2128, if x is infinity, __fdividef(x,y) delivers a NaN (as
a result of multiplying infinity by zero), while the / operator returns infinity. On the
other hand, the / operator is IEEE-compliant when the code is compiled with -precdiv=true or without any -prec-div option at all since its default value is true.

Table 9 Single-Precision Floating-Point Intrinsic Functions
(Supported by the CUDA Runtime Library with Respective Error Bounds)
Function

Error bounds

__fadd_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__fsub_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__fmul_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__fmaf_[rn,rz,ru,rd](x,y,z)

IEEE-compliant.

__frcp_[rn,rz,ru,rd](x)

IEEE-compliant.

__fsqrt_[rn,rz,ru,rd](x)

IEEE-compliant.

__frsqrt_rn(x)

IEEE-compliant.

__fdiv_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__fdividef(x,y)

For y in [2

__expf(x)

The maximum ulp error is 2 + floor(abs(1.16

__exp10f(x)

The maximum ulp error is 2+ floor(abs(2.95 *

__logf(x)

For x in [0.5, 2], the maximum absolute error is

-126

x)).

-21.41

-22

CUDA C Programming Guide

, otherwise, the maximum ulp error is 2.

For x in [0.5, 2], the maximum absolute error is
-24

2

www.nvidia.com

, otherwise, the maximum ulp error is 3.

For x in [0.5, 2], the maximum absolute error is
2

__log10f(x)

], the maximum ulp error is 2.

* x)).

2
__log2f(x)

126

,2

, otherwise, the maximum ulp error is 3.

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Mathematical Functions

Function

Error bounds

__sinf(x)

For x in [-π,π], the maximum absolute error is
-21.41

2
__cosf(x)

, and larger otherwise.

For x in [-π,π], the maximum absolute error is
-21.19

2

, and larger otherwise.

__sincosf(x,sptr,cptr)

Same as __sinf(x) and __cosf(x).

__tanf(x)

Derived from its implementation as __sinf(x) *

__powf(x, y)

Derived from its implementation as exp2f(y *

(1/__cosf(x)).
__log2f(x)).

Double-Precision Floating-Point Functions
__dadd_rn() and __dmul_rn() map to addition and multiplication operations that

the compiler never merges into FMADs. By contrast, additions and multiplications
generated from the '*' and '+' operators will frequently be combined into FMADs.

Table 10 Double-Precision Floating-Point Intrinsic Functions
(Supported by the CUDA Runtime Library with Respective Error Bounds)
Function

Error bounds

__dadd_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__dsub_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__dmul_[rn,rz,ru,rd](x,y)

IEEE-compliant.

__fma_[rn,rz,ru,rd](x,y,z)

IEEE-compliant.

__ddiv_[rn,rz,ru,rd](x,y)(x,y)

IEEE-compliant.
Requires compute capability > 2.

__drcp_[rn,rz,ru,rd](x)

IEEE-compliant.
Requires compute capability > 2.

__dsqrt_[rn,rz,ru,rd](x)

IEEE-compliant.
Requires compute capability > 2.

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Appendix E.
C/C++ LANGUAGE SUPPORT

As described in Compilation with NVCC, CUDA source files compiled with nvcc can
include a mix of host code and device code. The CUDA frontend compiler aims to
emulate the host compiler behavior with respect to C++ input code. The input source
code is processed according to the C++ ISO/IEC 14882:2003 or C++ ISO/IEC 14882:2011
specifications, and the CUDA frontend compiler aims to emulate any host compiler
divergences from the ISO specification. In addition, the supported language is extended
with CUDA-specific constructs described in this document 6, and is subject to the
restrictions described below.
C++11 Language Features provides a support matrix for the C++11 features. Restrictions
lists the language restrictions. Polymorphic Function Wrappers and Experimental
Feature: Device Lambdas describe additional features. Code Samples gives code
samples.

E.1. C++11 Language Features
The following table lists new language features that have been accepted into the C++11
standard. The "Proposal" column provides a link to the ISO C++ committee proposal
that describes the feature, while the "Available in nvcc (device code)" column indicates
the first version of nvcc that contains an implementation of this feature (if it has been
implemented) for device code.

Table 11 C++11 Language Features
Language Feature

Rvalue references
Rvalue references for *this
Initialization of class objects by rvalues
6

C++11
Proposal

Available
in nvcc
(device
code)

N2118

7.0

N2439

7.0

N1610

7.0

e.g., the <<<...>>> syntax for launching kernels.

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C++11
Proposal

Available
in nvcc
(device
code)

Non-static data member initializers

N2756

7.0

Variadic templates

N2242

7.0

N2555

7.0

Initializer lists

N2672

7.0

Static assertions

N1720

7.0

auto-typed variables

N1984

7.0

Multi-declarator auto

N1737

7.0

Removal of auto as a storage-class specifier

N2546

7.0

New function declarator syntax

N2541

7.0

Lambda expressions

N2927

7.0

Declared type of an expression

N2343

7.0

N3276

7.0

Right angle brackets

N1757

7.0

Default template arguments for function templates

DR226

7.0

Solving the SFINAE problem for expressions

DR339

7.0

Alias templates

N2258

7.0

Extern templates

N1987

7.0

Null pointer constant

N2431

7.0

Strongly-typed enums

N2347

7.0

Language Feature

Extending variadic template template parameters

Incomplete return types

Forward declarations for enums

N2764
DR1206

7.0

Standardized attribute syntax

N2761

7.0

Generalized constant expressions

N2235

7.0

Alignment support

N2341

7.0

Conditionally-support behavior

N1627

7.0

Changing undefined behavior into diagnosable errors

N1727

7.0

Delegating constructors

N1986

7.0

Inheriting constructors

N2540

7.0

Explicit conversion operators

N2437

7.0

New character types

N2249

7.0

Unicode string literals

N2442

7.0

Raw string literals

N2442

7.0

Universal character names in literals

N2170

7.0

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Language Feature

C++11
Proposal

Available
in nvcc
(device
code)

User-defined literals

N2765

7.0

Standard Layout Types

N2342

7.0

Defaulted functions

N2346

7.0

Deleted functions

N2346

7.0

Extended friend declarations

N1791

7.0

N2253

Extending sizeof

DR850

7.0

Inline namespaces

N2535

7.0

Unrestricted unions

N2544

7.0

Local and unnamed types as template arguments

N2657

7.0

Range-based for

N2930

7.0

N2928
Explicit virtual overrides

N3206

7.0

N3272
Minimal support for garbage collection and reachability-based leak
detection

N2670

N/A (see
Restrictions)

Allowing move constructors to throw [noexcept]

N3050

7.0

Defining move special member functions

N3053

7.0

Concurrency
Sequence points

N2239

Atomic operations

N2427

Strong Compare and Exchange

N2748

Bidirectional Fences

N2752

Memory model

N2429

Data-dependency ordering: atomics and memory model

N2664

Propagating exceptions

N2179

Allow atomics use in signal handlers

N2547

Thread-local storage

N2659

Dynamic initialization and destruction with concurrency

N2660

C99 Features in C++11
__func__ predefined identifier

N2340

7.0

C99 preprocessor

N1653

7.0

long long

N1811

7.0

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Language Feature

Extended integral types

C++11
Proposal

Available
in nvcc
(device
code)

N1988

E.2. Restrictions
E.2.1. Host Compiler Extensions
The use of host compiler specific language extensions in device code is unsupported.

E.2.2. Preprocessor Symbols
E.2.2.1. __CUDA_ARCH__
1. The type signature of the following entities shall not depend on whether
__CUDA_ARCH__ is defined or not, or on a particular value of __CUDA_ARCH__:
‣
‣
‣

__global__ functions and function templates
__device__ and __constant__ variables

textures and surfaces

Example:
#if !defined(__CUDA_ARCH__)
typedef int mytype;
#else
typedef double mytype;
#endif
__device__ mytype xxx;
// error: xxx's type depends on __CUDA_ARCH__
__global__ void foo(mytype in, // error: foo's type depends on __CUDA_ARCH__
mytype *ptr)
{
*ptr = in;
}

2. If a __global__ function template is instantiated and launched from the host,
then the function template must be instantiated with the same template arguments
irrespective of whether __CUDA_ARCH__ is defined and regardless of the value of
__CUDA_ARCH__.

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Example:
__device__ int result;
template 
__global__ void kern(T in)
{
result = in;
}
__host__ __device__ void foo(void)
{
#if !defined(__CUDA_ARCH__)
kern<<<1,1>>>(1);
// error: "kern" instantiation only
// when __CUDA_ARCH__ is undefined!
#endif
}
int main(void)
{
foo();
cudaDeviceSynchronize();
return 0;
}

3. In separate compilation mode, the presence or absence of a definition of a function
or variable with external linkage shall not depend on whether __CUDA_ARCH__ is
defined or on a particular value of __CUDA_ARCH__ 7.
Example:
#if !defined(__CUDA_ARCH__)
void foo(void) { }
#endif

// error: The definition of foo()
// is only present when __CUDA_ARCH__
// is undefined

4. In separate compilation, __CUDA_ARCH__ must not be used in headers such that
different objects could contain different behavior. Or, it must be guaranteed that
all objects will compile for the same compute_arch. If a weak function or template
function is defined in a header and its behavior depends on __CUDA_ARCH__, then
the instances of that function in the objects could conflict if the objects are compiled
for different compute arch.
For example, if an a.h contains:
template
__device__ T* getptr(void)
{
#if __CUDA_ARCH__ == 200
return NULL; /* no address */
#else
__shared__ T arr[256];
return arr;
#endif
}

Then if a.cu and b.cu both include a.h and instantiate getptr for the same type, and
b.cu expects a non-NULL address, and compile with:

7

This does not apply to entities that may be defined in more than one translation unit, such as compiler generated
template instantiations.

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nvcc –arch=compute_20 –dc a.cu
nvcc –arch=compute_30 –dc b.cu
nvcc –arch=sm_30 a.o b.o

At link time only one version of the getptr is used, so the behavior would depend
on which version is picked. To avoid this, either a.cu and b.cu must be compiled for
the same compute arch, or __CUDA_ARCH__ should not be used in the shared header
function.
The compiler does not guarantee that a diagnostic will be generated for the unsupported
uses of __CUDA_ARCH__ described above.

E.2.3. Qualifiers
E.2.3.1. Device Memory Qualifiers
The __device__, __shared__ and __constant__ qualifiers are not allowed on:
‣
‣
‣

class, struct, and union data members,

formal parameters,
local variables within a function that executes on the host.

__shared__ and __constant__ variables have implied static storage.

__device__ and __constant__ variable definitions are only allowed in namespace

scope (including global namespace scope).

__device__, __constant__ and __shared__ variables defined in namespace scope,

that are of class type, cannot have a non-empty constructor or a non-empty destructor. A
constructor for a class type is considered empty at a point in the translation unit, if it is
either a trivial constructor or it satisfies all of the following conditions:
‣
‣
‣
‣
‣

The constructor function has been defined.
The constructor function has no parameters, the initializer list is empty and the
function body is an empty compound statement.
Its class has no virtual functions and no virtual base classes.
The default constructors of all base classes of its class can be considered empty.
For all the nonstatic data members of its class that are of class type (or array thereof),
the default constructors can be considered empty.

A destructor for a class is considered empty at a point in the translation unit, if it is
either a trivial destructor or it satisfies all of the following conditions:
‣
‣
‣
‣
‣

The destructor function has been defined.
The destructor function body is an empty compound statement.
Its class has no virtual functions and no virtual base classes.
The destructors of all base classes of its class can be considered empty.
For all the nonstatic data members of its class that are of class type (or array thereof),
the destructor can be considered empty.

When compiling in the whole program compilation mode (see the nvcc user manual for
a description of this mode), __device__, __shared__, and __constant__ variables

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cannot be defined as external using the extern keyword. The only exception is for
dynamically allocated __shared__ variables as described in __shared__.
When compiling in the separate compilation mode (see the nvcc user manual for a
description of this mode), __device__, __shared__, and __constant__ variables can
be defined as external using the extern keyword. nvlink will generate an error when
it cannot find a definition for an external variable (unless it is a dynamically allocated
__shared__ variable).

E.2.3.2. __managed__ Qualifier

Variables marked with the __managed__ qualifier ("managed" variables) have the
following restrictions:
‣
‣
‣
‣

The address of a managed variable is not a constant expression.
A managed variable shall not have a const qualified type.
A managed variable shall not have a reference type.
The address or value of a managed variable shall not be used when the CUDA
runtime may not be in a valid state, including the following cases:
‣

‣
‣
‣

In static/dynamic initialization or destruction of an object with static or thread
local storage duration.
‣ In code that executes after exit() has been called (e.g., a function marked with
gcc's "__attribute__((destructor))").
‣ In code that executes when CUDA runtime may not be initialized (e.g., a
function marked with gcc's "__attribute__((constructor))").
A managed variable cannot be used as an unparenthesized id-expression argument
to a decltype() expression.
Managed variables have the same coherence and consistency behavior as specified
for dynamically allocated managed memory.
When a CUDA program containing managed variables is run on an execution
platform with multiple GPUs, the variables are allocated only once, and not per
GPU.

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Here are examples of legal and illegal uses of managed variables:
__device__ __managed__ int xxx = 10;

// OK

int *ptr = &xxx;

// error: use of managed variable
// (xxx) in static initialization

struct S1_t {
int field;
S1_t(void) : field(xxx) { };
};
struct S2_t {
~S2_t(void) { xxx = 10; }
};
S1_t temp1;

// error: use of managed variable
// (xxx) in dynamic initialization

S2_t temp2;

//
//
//
//

__device__ __managed__ const int yyy = 10;

// error: const qualified type

__device__ __managed__ int &zzz = xxx;

// error: reference type

template  struct S3_t { };
S3_t<&xxx> temp;

__global__ void kern(int *ptr)
{
assert(ptr == &xxx);
xxx = 20;
}
int main(void)
{
int *ptr = &xxx;
kern<<<1,1>>>(ptr);
cudaDeviceSynchronize();
xxx++;
decltype(xxx) qqq;

}

decltype((xxx)) zzz = yyy;

error: use of managed variable
(xxx) in the destructor of
object with static storage
duration

// error: address of managed
// variable(xxx) not a
// constant expression

// OK
// OK

// OK
//
//
//
//

OK
error: managed variable(xxx) used
as unparenthized argument to
decltype

// OK

E.2.3.3. Volatile Qualifier
The compiler is free to optimize reads and writes to global or shared memory (for
example, by caching global reads into registers or L1 cache) as long as it respects the
memory ordering semantics of memory fence functions (Memory Fence Functions) and
memory visibility semantics of synchronization functions (Synchronization Functions).
These optimizations can be disabled using the volatile keyword: If a variable located
in global or shared memory is declared as volatile, the compiler assumes that its value
can be changed or used at any time by another thread and therefore any reference to this
variable compiles to an actual memory read or write instruction.

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E.2.4. Pointers
Dereferencing a pointer either to global or shared memory in code that is executed
on the host, or to host memory in code that is executed on the device results in an
undefined behavior, most often in a segmentation fault and application termination.
The address obtained by taking the address of a __device__, __shared__ or
__constant__ variable can only be used in device code. The address of a __device__
or __constant__ variable obtained through cudaGetSymbolAddress() as described
in Device Memory can only be used in host code.
As a consequence of the use of C++ syntax rules, void pointers (e.g., returned by
malloc()) cannot be assigned to non-void pointers without a typecast.

E.2.5. Operators
E.2.5.1. Assignment Operator
__constant__ variables can only be assigned from the host code through runtime

functions (Device Memory); they cannot be assigned from the device code.

__shared__ variables cannot have an initialization as part of their declaration.

It is not allowed to assign values to any of the built-in variables defined in Built-in
Variables.

E.2.5.2. Address Operator
It is not allowed to take the address of any of the built-in variables defined in Built-in
Variables.

E.2.6. Run Time Type Information (RTTI)
The following RTTI-related features are supported in host code, but not in device code.
‣
‣
‣

typeid operator
std::type_info
dynamic_cast operator

E.2.7. Exception Handling
Exception handling is only supported in host code, but not in device code.

E.2.8. Standard Library
Standard libraries are only supported in host code, but not in device code, unless
specified otherwise.

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E.2.9. Functions
E.2.9.1. External Linkage
A call within some device code of a function declared with the extern qualifier is only
allowed if the function is defined within the same compilation unit as the device code,
i.e., a single file or several files linked together with relocatable device code and nvlink.

E.2.9.2. Compiler generated functions
The execution space qualifiers (__host__, __device__) for a compiler generated
function are the union of the execution space qualifiers of all the functions that invoke it
(note that a __global__ caller will be treated as a __device__ caller for this analysis).
For example:
class Base {
int x;
public:
__host__ __device__ Base(void) : x(10) {}
};
class Derived : public Base {
int y;
};
class Other: public Base {
int z;
};
__device__ void foo(void)
{
Derived D1;
Other D2;
}
__host__ void bar(void)
{
Other D3;
}

Here, the compiler generated constructor function "Derived::Derived" will be treated
as a __device__ function, since it is invoked only from the __device__ function
"foo". The compiler generated constructor function "Other::Other" will be treated as a
__host__ __device__ function, since it is invoked both from a __device__ function
"foo" and a __host__ function "bar".

E.2.9.3. Function Parameters
__global__ function parameters are passed to the device via constant memory and are

limited to 4 KB.

__device__ and __global__ functions cannot have a variable number of arguments.

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E.2.9.4. Static Variables within Function
Within the body of a __device__ or __global__ function, only __shared__ variables
may be declared with static storage class.

E.2.9.5. Function Pointers
The address of a __global__ function taken in host code cannot be used in device code
(e.g. to launch the kernel). Similarly, the address of a __global__ function taken in
device code 8 cannot be used in host code.
It is not allowed to take the address of a __device__ function in host code.

E.2.9.6. Function Recursion
__global__ functions do not support recursion.

E.2.10. Classes
E.2.10.1. Data Members
Static data members are not supported.
The layout of bit-fields in device code may currently not match the layout in host code
on Windows.

E.2.10.2. Function Members
Static member functions cannot be __global__ functions.

E.2.10.3. Virtual Functions
When a function in a derived class overrides a virtual function in a base class, the
execution space qualifiers (i.e., __host__, __device__) on the overridden and
overriding functions must match.
It is not allowed to pass as an argument to a __global__ function an object of a class
with virtual functions.
The virtual function table is placed in global or constant memory by the compiler.

E.2.10.4. Virtual Base Classes
It is not allowed to pass as an argument to a __global__ function an object of a class
derived from virtual base classes.

8

supported with architectures >= sm_35

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E.2.10.5. Anonymous Unions
Member variables of a namespace scope anonymous union cannot be referenced in a
__global__ or __device__ function.

E.2.10.6. Windows-Specific
The CUDA compiler follows the IA64 ABI for class layout, while the Microsoft host
compiler does not. This may cause the CUDA compiler to compute the class layout and
size differently than the Microsoft host compiler, for a class type 'T' that satisfies any of
the following conditions or for any class type that has T as a field type or as a base class
type (direct or indirect):
‣
‣
‣
‣

T has virtual functions.
T has a virtual base class.
T has multiple inheritance with more than one direct or indirect empty base class.
All direct and indirect base classes ('B') of T are empty and the type of the first field
of T ('F') uses B in its definition, such that B is laid out at offset 0 in the definition of
F.

As long as affected class types are used exclusively in host or device code, the program
should work correctly; do not pass objects of such class types between between host and
device code (e.g., as arguments to __global__ functions or through cudaMemcpy*()
calls) 9.

E.2.11. Templates
A type or template cannot be used in the type, non-type or template template argument
of a __global__ function template instantiation if either:
‣
‣

The type or template is defined within a __host__ or __host__ __device__.
The type or template is a class member with private or protected access and its
parent class is not defined within a __device__ or __global__ function.

Example:
template 
__global__ void myKernel(void) { }
class myClass {
private:
struct inner_t { };
public:
static void launch(void)
{
// error: inner_t is used in template argument
// but it is private
myKernel<<<1,1>>>();
}
};

9

One way to debug suspected layout mismatch of a type C is to use printf to output the values of sizeof(C) and
offsetof(C, field) in host and device code.

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E.2.12. Trigraphs and Digraphs
Trigraphs are not supported on any platform. Digraphs are not supported on Windows.

E.2.13. Const-qualified variables
Let 'V' denote a namespace scope variable or a class static member variable that has
const qualified type and does not have execution space annotations (e.g., __device__,
__constant__, __shared__). V is considered to be a host code variable.
The value of V may be directly used in device code, if
‣
‣

V has been initialized with a constant expression before the point of use, and
it has one of the following types:
‣
‣

builtin floating point type except when the Microsoft compiler is used as the
host compiler,
builtin integral type.

Device source code cannot contain a reference to V or take the address of V.
Example:
const int xxx = 10;
struct S1_t { static const int yyy = 20; };
extern const int zzz;
const float www = 5.0;
__device__ void foo(void) {
int local1[xxx];
// OK
int local2[S1_t::yyy];
// OK
int val1 = xxx;

// OK

int val2 = S1_t::yyy;

// OK

int val3 = zzz;

// error: zzz not initialized with constant
// expression at the point of use.

const int &val3 = xxx;
const int *val4 = &xxx;
const float val5 = www;

//
//
//
//

}
const int zzz = 20;

error: reference to host variable
error: address of host variable
OK except when the Microsoft compiler is used as
the host compiler.

E.2.14. C++11 Features
C++11 features that are enabled by default by the host compiler are also supported
by nvcc, subject to the restrictions described in this document. In addition, invoking
nvcc with -std=c++11 flag turns on all C++11 features and also invokes the host
preprocessor, compiler and linker with the corresponding C++11 dialect option 10.

10

At present, the -std=c++11 flag is supported only for the following host compilers : gcc version >= 4.7, clang

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E.2.14.1. Lambda Expressions
The execution space qualifiers for all member functions11 of the closure class associated
with a lambda expression are derived by the compiler as follows. As described in
the C++11 standard, the compiler creates a closure type in the smallest block scope,
class scope or namespace scope that contains the lambda expression. The innermost
function scope enclosing the closure type is computed, and the corresponding function's
execution space qualifiers are assigned to the closure class member functions. If there is
no enclosing function scope, the execution space qualifier is __host__.
Examples of lambda expressions and computed execution space qualifiers are shown
below (in comments).
auto globalVar = [] { return 0; }; // __host__
void f1(void) {
auto l1 = [] { return 1; };
}

// __host__

__device__ void f2(void) {
auto l2 = [] { return 2; };
}

// __device__

__host__ __device__ void f3(void) {
auto l3 = [] { return 3; };
// __host__ __device__
}
__device__ void f4(int (*fp)() = [] { return 4; } /* __host__ */) {
}
__global__ void f5(void) {
auto l5 = [] { return 5; };
}

// __device__

__device__ void f6(void) {
struct S1_t {
static void helper(int (*fp)() = [] {return 6; } /* __device__ */) {
}
};
}

The closure type of a lambda expression cannot be used in the type or non-type
argument of a __global__ function template instantiation, unless the lambda is defined
within a __device__ or __global__ function.

11

including operator()

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Example:
template 
__global__ void foo(T in) { };
template 
struct S1_t { };
void bar(void) {
auto temp1 = [] { };
foo<<<1,1>>>(temp1);

}

//
//
foo<<<1,1>>>( S1_t()); //
//

error: lambda
template type
error: lambda
template type

closure type used in
argument
closure type used in
argument

E.2.14.2. std::initializer_list
By default, the CUDA compiler will implicitly consider the member functions of
std::initializer_list to have __host__ __device__ execution space qualifiers,
and therefore they can be invoked directly from device code. The nvcc flag --nohost-device-initializer-list will disable this behavior; member functions of
std::initializer_list will then be considered as __host__ functions and will not
be directly invokable from device code.
Example:
#include 
__device__ int foo(std::initializer_list in);
__device__ void bar(void)
{
foo({4,5,6});
// (a) initializer list containing only
// constant expressions.
int i = 4;
foo({i,5,6});
}

// (b) initializer list with at least one
// non-constant element.
// This form may have better performance than (a).

E.2.14.3. Rvalue references
By default, the CUDA compiler will implicitly consider std::move and std::forward
function templates to have __host__ __device__ execution space qualifiers, and
therefore they can be invoked directly from device code. The nvcc flag --no-hostdevice-move-forward will disable this behavior; std::move and std::forward
will then be considered as __host__ functions and will not be directly invokable from
device code.

E.2.14.4. Constexpr functions and function templates
By default, a constexpr function cannot be called from a function with incompatible
execution space 12. The experimental nvcc flag --relaxed-constexpr removes
12

The restrictions are the same as with a non-constexpr callee function.

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this restriction. When this flag is specified, host code can invoke a __device__
constexpr function and device code can invoke a __host__ constexpr function. Note
that a function template instantiation may not be a constexpr function even if the
corresponding template is marked with the keyword constexpr (C++11 Standard
Section [dcl.constexpr.p6]).

E.2.14.5. Constexpr variables
Let 'V' denote a namespace scope variable or a class static member variable that has
been marked constexpr and that does not have execution space annotations (e.g.,
__device__, __constant__, __shared__). V is considered to be a host code
variable.
If V is of scalar type 13 other than long double, the value of V can be directly used in
device code. In addition, the value of V can be used inside a constexpr __device__ or
__host__ __device__ function, if the call to the function is a constant expression 14.
Device source code cannot contain a reference to V or take the address of V.
Example:
constexpr int xxx = 10;
constexpr int yyy = xxx + 4;
struct S1_t { static constexpr int qqq = 100; };
constexpr int host_arr[] = { 1, 2, 3};
constexpr __device__ int get(int idx) { return host_arr[idx]; }
__device__ int foo(int idx) {
int v1 = xxx + yyy + S1_t::qqq;
const int &v2 = xxx;
const int *v3 = &xxx;
const int &v4 = S1_t::qqq;
const int *v5 = &S1_t::qqq;
v1 += get(2);
v1 += get(idx);
v1 += host_arr[2];
}

return v1;

//
//
//
//
//
//
//
//
//

OK
error: reference to host constexpr
variable
error: address of host constexpr
variable
error: reference to host constexpr
variable
error: address of host constexpr
variable

//
//
//
//
//
//

OK: 'get(2)' is a constant
expression.
error: 'get(idx)' is not a constant
expression
error: 'host_arr' does not have
scalar type.

E.2.14.6. Inline namespaces
For an input CUDA translation unit, the CUDA compiler may invoke the host compiler
for compiling the host code within the translation unit. In the code passed to the host
compiler, the CUDA compiler will inject additional compiler generated code, if the input
CUDA translation unit contained a definition of any of the following entities:
‣
13
14

__global__ function or function template instantiation
C++ Standard Section [basic.types]
C++ Standard Section [expr.const]

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‣
‣

__device__, __constant__

variables with surface or texture type

The compiler generated code contains a reference to the defined entity. If the entity
is defined within an inline namespace and another entity of the same name and type
signature is defined in an enclosing namespace, this reference may be considered
ambiguous by the host compiler and host compilation will fail.
This limitation can be avoided by using unique names for such entities defined within
an inline namespace.
Example:
__device__ int Gvar;
inline namespace N1 {
__device__ int Gvar;
}
// <-- CUDA compiler inserts a reference to "Gvar" at this point in the
// translation unit. This reference will be considered ambiguous by the
// host compiler and compilation will fail.
}

Example:
inline namespace N1 {
namespace N2 {
__device__ int Gvar;
}
}
namespace N2 {
__device__ int Gvar;
}
// <-- CUDA compiler inserts reference to "::N2::Gvar" at this point in
// the translation unit. This reference will be considered ambiguous by
// the host compiler and compilation will fail.
}

E.2.14.6.1. Inline unnamed namespaces
The following entities cannot be declared in namespace scope within an inline unnamed
namespace:
‣
‣
‣

__device__, __shared__ and __constant__ variables
__global__ function and function templates

variables with surface or texture type

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Example:
inline namespace {
namespace N2 {
template 
__global__ void foo(void);

}
};

// error

__global__ void bar(void) { }

// error

template <>
__global__ void foo(void) { }

// error

__device__ int x1b;
__constant__ int x2b;
__shared__ int x3b;

// error
// error
// error

texture q2;
surface s2;

// error
// error

E.2.14.7. thread_local
The thread_local storage specifier is not allowed in device code.

E.2.14.8. __global__ functions and function templates

A __global__ function or function template cannot be declared as constexpr and
cannot have trailing return type.
The following types are not allowed for a parameter of a __global__ function or
function template:
‣
‣
‣

rvalue reference type
std::initializer_list
restrict qualified reference type

A variadic __global__ function template has the following restrictions:
‣
‣

Only a single pack parameter is allowed.
The pack parameter must be listed last in the template parameter list.

Example:
// ok
template