CUDA


CUDA is a proprietary parallel computing platform and application programming interface that allows software to use certain types of graphics processing units for accelerated general-purpose processing, significantly broadening their utility in scientific and high-performance computing. CUDA was created by Nvidia starting in 2004 and was officially released in 2007. When it was first introduced, the name was an acronym for Compute Unified Device Architecture, but Nvidia later dropped the common use of the acronym and now rarely expands it.
CUDA is both a software layer that manages data, giving direct access to the GPU and CPU as necessary, and a library of APIs that enable parallel computation for various needs. In addition to drivers and runtime kernels, the CUDA platform includes compilers, libraries and developer tools to help programmers accelerate their applications.
CUDA is written in the C programming language but is designed to work with a wide array of other programming languages including C++, Fortran, Python and Julia. This accessibility makes it easier for specialists in parallel programming to use GPU resources, in contrast to prior APIs like Direct3D and OpenGL, which require advanced skills in graphics programming. CUDA-powered GPUs also support programming frameworks such as OpenMP, OpenACC and OpenCL.

Background

The graphics processing unit, as a specialized computer processor, addresses the demands of real-time high-resolution 3D graphics compute-intensive tasks. By 2012, GPUs had evolved into highly parallel multi-core systems allowing efficient manipulation of large blocks of data. This design is more effective than general-purpose central processing unit for algorithms in situations where processing large blocks of data is done in parallel, such as:
The origins of CUDA trace to the early 2000s, when Ian Buck, a computer science Ph.D. student at Stanford University, began experimenting with using GPUs for purposes beyond rendering graphics. Buck had first become interested in GPUs during his undergraduate studies at Princeton University, initially through video gaming. After graduation, he interned at Nvidia, gaining deeper exposure to GPU architecture. At Stanford, he built an 8K gaming rig using 32 GeForce graphics cards, originally to push the limits of graphics performance in games like Quake and Doom. However, his interests shifted toward exploring the potential of GPUs for general-purpose parallel computing.
To that end, Buck developed Brook, a programming language designed to enable general-purpose computing on GPUs. His work attracted support from both Nvidia and the Defense Advanced Research Projects Agency. In 2004, Nvidia hired Buck and paired him with John Nickolls, the company's director of architecture for GPU computing. Together, they began transforming Brook into what would become CUDA. CUDA was officially released by Nvidia in 2007.
Under the leadership of Nvidia CEO Jensen Huang, CUDA became central to the company's strategy of positioning GPUs as versatile hardware for scientific applications. By 2015, CUDA's development increasingly focused on accelerating machine learning and artificial neural network workloads.

Ontology

The following table offers a non-exact description for the ontology of the CUDA framework.
memory
memory computation
computation
computation
RAMnon-CUDA variableshostprogramone routine call
VRAM,
GPU L2 cache
global, const, texturedevicegridsimultaneous call of the same subroutine on many processors
GPU L1 cachelocal, sharedSM blockindividual subroutine call
warp = 32 threadsSIMD instructions
GPU L0 cache,
register
thread analogous to individual scalar ops within a vector op

Programming abilities

The CUDA platform is accessible to software developers through CUDA-accelerated libraries, compiler directives such as OpenACC, and extensions to industry-standard programming languages including C, C++, Fortran and Python. C/C++ programmers can use 'CUDA C/C++', compiled to PTX with nvcc or by clang itself. Fortran programmers can use 'CUDA Fortran', compiled with the PGI CUDA Fortran compiler from The Portland Group. Python programmers can use the cuPyNumeric library to accelerate applications on Nvidia GPUs.
In addition to libraries, compiler directives, CUDA C/C++ and CUDA Fortran, the CUDA platform supports other computational interfaces, including the Khronos Group's OpenCL, Microsoft's DirectCompute, OpenGL Compute Shader and C++ AMP. Third party wrappers are also available for Python, Perl, Fortran, Java, Ruby, Lua, Common Lisp, Haskell, R, MATLAB, IDL, Julia, and native support in Mathematica.
In the computer game industry, GPUs are used for graphics rendering, and for game physics calculations ; examples include PhysX and Bullet. CUDA has also been used to accelerate non-graphical applications in computational biology, cryptography and other fields by an order of magnitude or more.
CUDA provides both a low level API and a higher level API. The initial CUDA SDK was made public on 15 February 2007, for Microsoft Windows and Linux. Mac OS X support was later added in version 2.0, which supersedes the beta released February 14, 2008. CUDA works with all Nvidia GPUs from the G8x series onwards, including GeForce, Quadro and the Tesla line. CUDA is compatible with most standard operating systems.
CUDA 8.0 comes with the following libraries :
  • cuBLAS – CUDA Basic Linear Algebra Subroutines library
  • CUDART – CUDA Runtime library
  • cuFFT – CUDA Fast Fourier Transform library
  • cuRAND – CUDA Random Number Generation library
  • cuSOLVER – CUDA based collection of dense and sparse direct solvers
  • cuSPARSE – CUDA Sparse Matrix library
  • NPP – NVIDIA Performance Primitives library
  • nvGRAPH – NVIDIA Graph Analytics library
  • NVML – NVIDIA Management Library
  • NVRTC – NVIDIA Runtime Compilation library for CUDA C++
CUDA 8.0 comes with these other software components:
  • nView – NVIDIA nView Desktop Management Software
  • NVWMI – NVIDIA Enterprise Management Toolkit
  • GameWorks PhysX – is a multi-platform game physics engine
CUDA 9.0–9.2 comes with these other components:
  • CUTLASS 1.0 – custom linear algebra algorithms,
  • NVIDIA Video Decoder was deprecated in CUDA 9.2; it is now available in NVIDIA Video Codec SDK
CUDA 10 comes with these other components:
  • nvJPEG – Hybrid JPEG processing
CUDA 11.0–11.8 comes with these other components:
  • CUB is new one of more supported C++ libraries
  • MIG multi instance GPU support
  • nvJPEG2000 – JPEG 2000 encoder and decoder

Advantages

CUDA has several advantages over traditional general-purpose computation on GPUs using graphics APIs:
  • Scattered reads – code can read from arbitrary addresses in memory
  • Unified virtual memory
  • Unified memory
  • Shared memory – CUDA exposes a fast shared memory region that can be shared among threads. This can be used as a user-managed cache, enabling higher bandwidth than is possible using texture lookups.
  • Faster downloads and readbacks to and from the GPU
  • Full support for integer and bitwise operations, including integer texture lookups

Limitations

  • Whether for the host computer or the GPU device, all CUDA source code is now processed according to C++ syntax rules. This was not always the case. Earlier versions of CUDA were based on C syntax rules. As with the more general case of compiling C code with a C++ compiler, it is therefore possible that old C-style CUDA source code will either fail to compile or will not behave as originally intended.
  • Interoperability with rendering languages such as OpenGL is one-way, with OpenGL having access to registered CUDA memory but CUDA not having access to OpenGL memory.
  • Copying between host and device memory may incur a performance hit due to system bus bandwidth and latency.
  • Threads should be running in groups of at least 32 for best performance, with total number of threads numbering in the thousands. Branches in the program code do not affect performance significantly, provided that each of 32 threads takes the same execution path; the SIMD execution model becomes a significant limitation for any inherently divergent task.
  • No emulation or fallback functionality is available for modern revisions.
  • Valid C++ may sometimes be flagged and prevent compilation due to the way the compiler approaches optimization for target GPU device limitations.
  • C++ run-time type information and C++-style exception handling are only supported in host code, not in device code.
  • In single-precision on first generation CUDA compute capability 1.x devices, denormal numbers are unsupported and are instead flushed to zero, and the precision of both the division and square root operations are slightly lower than IEEE 754-compliant single precision math. Devices that support compute capability 2.0 and above support denormal numbers, and the division and square root operations are IEEE 754 compliant by default. However, users can obtain the prior faster gaming-grade math of compute capability 1.x devices if desired by setting compiler flags to disable accurate divisions and accurate square roots, and enable flushing denormal numbers to zero.
  • Unlike OpenCL, CUDA-enabled GPUs are only available from Nvidia as it is proprietary. Attempts to implement CUDA on other GPUs include:
  • * Project Coriander: Converts CUDA C++11 source to OpenCL 1.2 C. A fork of CUDA-on-CL intended to run TensorFlow.
  • * CU2CL: Convert CUDA 3.2 C++ to OpenCL C.
  • * GPUOpen HIP: A thin abstraction layer on top of CUDA and ROCm intended for AMD and Nvidia GPUs. Has a conversion tool for importing CUDA C++ source. Supports CUDA 4.0 plus C++11 and float16.
  • * ZLUDA is a drop-in replacement for CUDA on AMD GPUs and formerly Intel GPUs with near-native performance. The developer, Andrzej Janik, was separately contracted by both Intel and AMD to develop the software in 2021 and 2022, respectively. However, neither company decided to release it officially due to the lack of a business use case. AMD's contract included a clause that allowed Janik to release his code for AMD independently, allowing him to release the new version that only supports AMD GPUs.
  • * ChipStar can compile and run CUDA/HIP programs on advanced OpenCL 3.0 or Level Zero platforms.
  • * is a CUDA-compatible programming toolkit for ahead of time compilation of CUDA source code on AMD GPUs, aiming to expand support for other GPUs in the future.

Example

This example code in C++ loads a texture from an image into an array on the GPU:

texture tex;
void foo
__global__ void kernel

Below is an example given in Python that computes the product of two arrays on the GPU. The unofficial Python language bindings can be obtained from PyCUDA.

import numpy
import pycuda.autoinit
from numpy.typing import NDArray, float32
from pycuda.compiler import SourceModule
from pycuda.driver import Function, In, Out
mod: SourceModule = SourceModule
"""
multiply_them: Function = mod.get_function
a: NDArray = numpy.random.randn.astype
b: NDArray = numpy.random.randn.astype
dest: NDArray = numpy.zeros_like
multiply_them, In, In, block=)
print

Additional Python bindings to simplify matrix multiplication operations can be found in the program pycublas.

import numpy
from pycublas import CUBLASMatrix
A: CUBLASMatrix = CUBLASMatrix
B: CUBLASMatrix = CUBLASMatrix
C: CUBLASMatrix = A * B
print)

while CuPy directly replaces NumPy:

import cupy
from cupy.typing import NDArray, float64
a: NDArray = cupy.random.randn
b: NDArray = cupy.random.randn
dest: NDArray = cupy.zeros_like
print

GPUs supported

Note on notation: compute capacity X.Y is also written SMXY or sm_XY in professional Nvidia software and the code Nvidia has contributed to LLVM.
Below is a table of supported CUDA compute capabilities based on the CUDA SDK version and microarchitecture, listed by code name:
CUDA SDK
version
TeslaFermiKepler
Kepler
MaxwellPascalVoltaTuringAmpereAda
Lovelace
HopperBlackwell
1.0
1.1
2.0
2.1 – 2.3.1
3.0 – 3.1
3.2
4.0 – 4.2
5.0 – 5.5
6.0
6.5
7.0 – 7.5
8.0
9.0 – 9.2
10.0 – 10.2
11.0
11.1 – 11.4
11.5 – 11.7.1
11.8
12.0 – 12.6
12.8
12.9
13.0

Note: CUDA SDK 10.2 is the last official release for macOS, as support will not be available for macOS in newer releases.
CUDA compute capability by version with associated GPU semiconductors and GPU card models :
Compute
capability
Micro-
architecture
GPUsGeForceQuadro, NVSTesla/DatacenterTegra,
Jetson,
DRIVE
1.0TeslaG80GeForce 8800 Ultra, GeForce 8800 GTX, GeForce 8800 GTSQuadro FX 5600, Quadro FX 4600, Quadro Plex 2100 S4Tesla C870, Tesla D870, Tesla S870
1.1TeslaG92, G94, G96, G98, G84, G86GeForce GTS 250, GeForce 9800 GX2, GeForce 9800 GTX, GeForce 9800 GT, GeForce 8800 GTS, GeForce 8800 GT, GeForce 9600 GT, GeForce 9500 GT, GeForce 9400 GT, GeForce 8600 GTS, GeForce 8600 GT, GeForce 8500 GT,
GeForce G110M, GeForce 9300M GS, GeForce 9200M GS, GeForce 9100M G, GeForce 8400M GT, GeForce G105M
Quadro FX 4700 X2, Quadro FX 3700, Quadro FX 1800, Quadro FX 1700, Quadro FX 580, Quadro FX 570, Quadro FX 470, Quadro FX 380, Quadro FX 370, Quadro FX 370 Low Profile, Quadro NVS 450, Quadro NVS 420, Quadro NVS 290, Quadro NVS 295, Quadro Plex 2100 D4,
Quadro FX 3800M, Quadro FX 3700M, Quadro FX 3600M, Quadro FX 2800M, Quadro FX 2700M, Quadro FX 1700M, Quadro FX 1600M, Quadro FX 770M, Quadro FX 570M, Quadro FX 370M, Quadro FX 360M, Quadro NVS 320M, Quadro NVS 160M, Quadro NVS 150M, Quadro NVS 140M, Quadro NVS 135M, Quadro NVS 130M, Quadro NVS 450, Quadro NVS 420, Quadro NVS 295
1.2TeslaGT218, GT216, GT215GeForce GT 340*, GeForce GT 330*, GeForce GT 320*, GeForce 315*, GeForce 310*, GeForce GT 240, GeForce GT 220, GeForce 210,
GeForce GTS 360M, GeForce GTS 350M, GeForce GT 335M, GeForce GT 330M, GeForce GT 325M, GeForce GT 240M, GeForce G210M, GeForce 310M, GeForce 305M
Quadro FX 380 Low Profile, Quadro FX 1800M, Quadro FX 880M, Quadro FX 380M,
Nvidia NVS 300, NVS 5100M, NVS 3100M, NVS 2100M, ION
1.3TeslaGT200, GT200bGeForce GTX 295, GTX 285, GTX 280, GeForce GTX 275, GeForce GTX 260Quadro FX 5800, Quadro FX 4800, Quadro FX 4800 for Mac, Quadro FX 3800, Quadro CX, Quadro Plex 2200 D2Tesla C1060, Tesla S1070, Tesla M1060
2.0FermiGF100, GF110GeForce GTX 590, GeForce GTX 580, GeForce GTX 570, GeForce GTX 480, GeForce GTX 470, GeForce GTX 465,
GeForce GTX 480M
Quadro 6000, Quadro 5000, Quadro 4000, Quadro 4000 for Mac, Quadro Plex 7000,
Quadro 5010M, Quadro 5000M
Tesla C2075, Tesla C2050/C2070, Tesla M2050/M2070/M2075/M2090
2.1FermiGF104, GF106 GF108, GF114, GF116, GF117, GF119GeForce GTX 560 Ti, GeForce GTX 550 Ti, GeForce GTX 460, GeForce GTS 450, GeForce GTS 450*, GeForce GT 640, GeForce GT 630, GeForce GT 620, GeForce GT 610, GeForce GT 520, GeForce GT 440, GeForce GT 440*, GeForce GT 430, GeForce GT 430*, GeForce GT 420*,
GeForce GTX 675M, GeForce GTX 670M, GeForce GT 635M, GeForce GT 630M, GeForce GT 625M, GeForce GT 720M, GeForce GT 620M, GeForce 710M, GeForce 610M, GeForce 820M, GeForce GTX 580M, GeForce GTX 570M, GeForce GTX 560M, GeForce GT 555M, GeForce GT 550M, GeForce GT 540M, GeForce GT 525M, GeForce GT 520MX, GeForce GT 520M, GeForce GTX 485M, GeForce GTX 470M, GeForce GTX 460M, GeForce GT 445M, GeForce GT 435M, GeForce GT 420M, GeForce GT 415M, GeForce 710M, GeForce 410M
Quadro 2000, Quadro 2000D, Quadro 600,
Quadro 4000M, Quadro 3000M, Quadro 2000M, Quadro 1000M,
NVS 310, NVS 315, NVS 5400M, NVS 5200M, NVS 4200M
3.0KeplerGK104, GK106, GK107GeForce GTX 770, GeForce GTX 760, GeForce GT 740, GeForce GTX 690, GeForce GTX 680, GeForce GTX 670, GeForce GTX 660 Ti, GeForce GTX 660, GeForce GTX 650 Ti BOOST, GeForce GTX 650 Ti, GeForce GTX 650,
GeForce GTX 880M, GeForce GTX 870M, GeForce GTX 780M, GeForce GTX 770M, GeForce GTX 765M, GeForce GTX 760M, GeForce GTX 680MX, GeForce GTX 680M, GeForce GTX 675MX, GeForce GTX 670MX, GeForce GTX 660M, GeForce GT 750M, GeForce GT 650M, GeForce GT 745M, GeForce GT 645M, GeForce GT 740M, GeForce GT 730M, GeForce GT 640M, GeForce GT 640M LE, GeForce GT 735M, GeForce GT 730M
Quadro K5000, Quadro K4200, Quadro K4000, Quadro K2000, Quadro K2000D, Quadro K600, Quadro K420,
Quadro K500M, Quadro K510M, Quadro K610M, Quadro K1000M, Quadro K2000M, Quadro K1100M, Quadro K2100M, Quadro K3000M, Quadro K3100M, Quadro K4000M, Quadro K5000M, Quadro K4100M, Quadro K5100M,
NVS 510, Quadro 410
Tesla K10, GRID K340, GRID K520, GRID K2
3.2KeplerGK20ATegra K1,
Jetson TK1
3.5KeplerGK110, GK208GeForce GTX Titan Z, GeForce GTX Titan Black, GeForce GTX Titan, GeForce GTX 780 Ti, GeForce GTX 780, GeForce GT 640, GeForce GT 630 v2, GeForce GT 730, GeForce GT 720, GeForce GT 710, GeForce GT 740M, GeForce GT 920MQuadro K6000, Quadro K5200Tesla K40, Tesla K20x, Tesla K20
3.7KeplerGK210Tesla K80
5.0MaxwellGM107, GM108GeForce GTX 750 Ti, GeForce GTX 750, GeForce GTX 960M, GeForce GTX 950M, GeForce 940M, GeForce 930M, GeForce GTX 860M, GeForce GTX 850M, GeForce 845M, GeForce 840M, GeForce 830MQuadro K1200, Quadro K2200, Quadro K620, Quadro M2000M, Quadro M1000M, Quadro M600M, Quadro K620M, NVS 810Tesla M10
5.2MaxwellGM200, GM204, GM206GeForce GTX Titan X, GeForce GTX 980 Ti, GeForce GTX 980, GeForce GTX 970, GeForce GTX 960, GeForce GTX 950, GeForce GTX 750 SE,
GeForce GTX 980M, GeForce GTX 970M, GeForce GTX 965M
Quadro M6000 24GB, Quadro M6000, Quadro M5000, Quadro M4000, Quadro M2000, Quadro M5500,
Quadro M5000M, Quadro M4000M, Quadro M3000M
Tesla M4, Tesla M40, Tesla M6, Tesla M60
5.3MaxwellGM20BTegra X1,
Jetson TX1,
Jetson Nano,
DRIVE CX,
DRIVE PX
6.0PascalGP100Quadro GP100Tesla P100
6.1PascalGP102, GP104, GP106, GP107, GP108Nvidia TITAN Xp, Titan X,
GeForce GTX 1080 Ti, GTX 1080, GTX 1070 Ti, GTX 1070, GTX 1060,
GTX 1050 Ti, GTX 1050, GT 1030, GT 1010,
MX350, MX330, MX250, MX230, MX150, MX130, MX110
Quadro P6000, Quadro P5000, Quadro P4000, Quadro P2200, Quadro P2000, Quadro P1000, Quadro P400, Quadro P500, Quadro P520, Quadro P600,
Quadro P5000, Quadro P4000, Quadro P3000
Tesla P40, Tesla P6, Tesla P4
6.2PascalGP10BTegra X2, Jetson TX2, DRIVE PX 2
7.0VoltaGV100NVIDIA TITAN VQuadro GV100Tesla V100, Tesla V100S
7.2VoltaGV10B

GV11B
Tegra Xavier,
Jetson Xavier NX,
Jetson AGX Xavier,
DRIVE AGX Xavier,
DRIVE AGX Pegasus,
Clara AGX
7.5TuringTU102, TU104, TU106, TU116, TU117NVIDIA TITAN RTX,
GeForce RTX 2080 Ti, RTX 2080 Super, RTX 2080, RTX 2070 Super, RTX 2070, RTX 2060 Super, RTX 2060 12GB, RTX 2060,
GeForce GTX 1660 Ti, GTX 1660 Super, GTX 1660, GTX 1650 Super, GTX 1650, MX550, MX450
Quadro RTX 8000, Quadro RTX 6000, Quadro RTX 5000, Quadro RTX 4000, T1000, T600, T400
T1200, T600, T500, Quadro T2000, Quadro T1000
Tesla T4
8.0AmpereGA100A100 80GB, A100 40GB, A30
8.6AmpereGA102, GA103, GA104, GA106, GA107GeForce RTX 3090 Ti, RTX 3090, RTX 3080 Ti, RTX 3080 12GB, RTX 3080, RTX 3070 Ti, RTX 3070, RTX 3060 Ti, RTX 3060, RTX 3050, RTX 3050 Ti, RTX 3050, RTX 2050, MX570RTX A6000, RTX A5500, RTX A5000, RTX A4500, RTX A4000, RTX A2000
RTX A5000, RTX A4000, RTX A3000, RTX A2000
A40, A16, A10, A2
8.7AmpereGA10BJetson Orin Nano,
Jetson Orin NX,
Jetson AGX Orin,
DRIVE AGX Orin,
IGX Orin
8.9Ada LovelaceAD102, AD103, AD104, AD106, AD107GeForce RTX 4090, RTX 4080 Super, RTX 4080, RTX 4070 Ti Super, RTX 4070 Ti, RTX 4070 Super, RTX 4070, RTX 4060 Ti, RTX 4060, RTX 4050 RTX 6000 Ada, RTX 5880 Ada, RTX 5000 Ada, RTX 4500 Ada, RTX 4000 Ada, RTX 4000 SFF Ada, RTX 2000 Ada, RTX 5000 Ada, RTX 4000 Ada, RTX 3500 Ada, RTX 2000 Ada L40S, L40, L20, L4, L2
9.0HopperGH100H200, H100, GH200
10.0BlackwellGB100B200, B100, GB200
10.3BlackwellGB110B300, GB300
11.0BlackwellGB10BJetson AGX Thor,
DRIVE AGX Thor
12.0BlackwellGB202, GB203, GB205, GB206, GB207GeForce RTX 5090, RTX 5080, RTX 5070 Ti, RTX 5070, RTX 5060 Ti, RTX 5060, RTX 5050RTX PRO 6000 Blackwell Workstation, RTX PRO 5000 Blackwell, RTX PRO 4500 Blackwell, RTX PRO 4000 BlackwellRTX PRO 6000 Blackwell Server
12.1BlackwellGB20BDGX Spark
Compute
capability
Micro-
architecture
GPUsGeForceQuadro, NVSTesla/DatacenterTegra,
Jetson,
DRIVE

* – OEM-only products

Version features and specifications

Note: A GPU with a higher compute capacity is able to execute PTX code meant for a GPU of a lower range of compute capacities. However, it is possible to compile CUDA code into a form that only works on one family of GPUs; if existing code is compiled this way, recompilation will be needed for it to work on a newer GPU.

Data types

Version support

Note: Any missing lines or empty entries do reflect some lack of information on that exact item.

Tensor cores

Note: Any missing lines or empty entries do reflect some lack of information on that exact item.

Technical specifications



Multiprocessor architecture



For more information read the Nvidia CUDA C++ Programming Guide.

Usages of CUDA architecture

Comparison with competitors

CUDA competes with other GPU computing stacks: Intel OneAPI and AMD ROCm.
Whereas Nvidia's CUDA is closed-source, Intel's OneAPI and AMD's ROCm are open source.

Intel OneAPI

oneAPI is an initiative based in open standards, created to support software development for multiple hardware architectures. The oneAPI libraries must implement open specifications that are discussed publicly by the Special Interest Groups, offering the possibility for any developer or organization to implement their own versions of oneAPI libraries.
Originally made by Intel, other hardware adopters include Fujitsu and Huawei.

Unified Acceleration Foundation (UXL)

Unified Acceleration Foundation is a new technology consortium working on the continuation of the OneAPI initiative, with the goal to create a new open standard accelerator software ecosystem, related open standards and specification projects through Working Groups and Special Interest Groups. The goal is to offer open alternatives to Nvidia's CUDA. The main companies behind it are Intel, Google, ARM, Qualcomm, Samsung, Imagination, and VMware.

AMD ROCm

ROCm is an open source software stack for graphics processing unit programming from Advanced Micro Devices.