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This chapter is giving an overview for how 3D animation to be created and run on -CPU+GPU. -Providing a concept in GPU compiler and HW featrues for graphic application. -Furthermore, explaining how GPU has taking more applications from +CPU+GPU first. +After that, providing a concept in GPU compiler and HW featrues for graphic +application. +Finally, explaining how GPU has taking more applications from CPU through GPGPU concept and related standards emerged. Webiste, Basic theory of 3D graphics with OpenGL, [#cg_basictheory]_. @@ -1154,8 +1155,15 @@ GPU compiler.) Here is the software stack of 3D graphic system for OpenGL in linux [#mesawiki]_. And mesa open source website is here [#mesa]_. -Architecture ------------- +GPU Architecture +---------------- + +.. _gpu-terms: +.. figure:: ../Fig/gpu/gpu-terms.png + :align: center + :scale: 50 % + + Terms in Nvidia's gpu (figure from book [#Quantitative-gpu-terms]_) SIMT ~~~~ @@ -1167,13 +1175,15 @@ with multithreading [#simt-wiki]_. The leading GPU architecture of Nvidia's gpu is as the following figures. -.. _grid: -.. figure:: ../Fig/gpu/grid.png +.. _threadslanes: +.. figure:: ../Fig/gpu/threads-lanes.png :align: center :scale: 100 % - core(grid) in Nvidia gpu (figure from book [#Quantitative-grid]_) - + Threads and lanes in gpu (figure from book [#Quantitative-threads-lanes]_) + +.. note:: A SIMD Thread executed by SIMD Processor, a.k.a. SM, has 16 Lanes. + .. _sm: .. figure:: ../Fig/gpu/sm.png :align: center @@ -1181,30 +1191,115 @@ figures. Streaming Multiprocessor SM has two -16-way SIMD units and four special function units [#cuda-sm]_. SM has L1 and Read Only Cache (Uniform Cache) - GTX480 has 48 SMs. ALUs run at twice the clock rate of rest of chip. So each + GTX480 has 48 SMs. **ALUs run at twice the clock rate of rest of chip. So each decoded instruction runs on 32 pieces of data on the 16 ALUs over two ALU - clocks [#chime]_. + clocks** [#chime]_. -.. _threadslanes: -.. figure:: ../Fig/gpu/threads-lanes.png +.. _sm2: +.. figure:: ../Fig/gpu/sm2.png :align: center - :scale: 100 % + :scale: 50 % + + Multithreaded SIMD Processor (Streaming Multiprocessor SM) figure from book + [#Quantitative-gpu-sm]_ + +.. note:: A SIMD Thread executed by SIMD Processor, a.k.a. SM, processes 32 + elements. + Number of registers in a Thread Block = + 16 (SM) * 32 (Cuda Thread) * 64 (TLR, Thread Level Register) = 32768 + Register file. + +.. code:: c++ + + // Invoke MATMUL with 256 threads per Thread Block + __host__ + int nblocks = (n + 255) / 512; + matmul<<>>(n, A, B, C); + // MATMUL in CUDA + __device__ + void matmul(int n, double A, double *B, double *C) { + int i = blockIdx.x*blockDim.x + threadIdx.x; + if (i < n) A[i] = B[i] + C[i]; + } + +.. _grid: +.. figure:: ../Fig/gpu/grid.png + :align: center + :scale: 50 % + + Mapping 8192 elements of matmul for Nvidia's GPU (figure from book + [#Quantitative-grid]_). SIMT: 16 SIMD Threads in 1 Thread Block. - threads and lanes in gpu (figure from book [#Quantitative-threads-lanes]_) - - .. _gpu-mem: .. figure:: ../Fig/gpu/memory.png :align: center :scale: 80 % - core(grid) in Nvidia's gpu (figure from book [#Quantitative-gpu-mem]_) + GPU memory (figure from book [#Quantitative-gpu-mem]_) + +Summarize as table below. + +.. list-table:: More Descriptive Name for Cuda term in Fermi GPU. + :widths: 15 15 10 40 + :header-rows: 1 + + * - More Desciptive Name + - Cuda term + - Structure + - Description + * - Grid + - Grid + - + - Grid is Vectorizable Loop as :numref:`gpu-terms`. + * - Thread Block / GPU Core + - Thread Block + - Each Grid has 16 Thread Block. + - Each Thread Block is assigned 512 elements of the vectors to + work on. + SIMD Processors are full processors with separate PCs and are programmed using + threads [#Quantitative-gpu-threadblock]_. + As :numref:`grid`, it assigns 16 Thread Block to 16 SIMD Processors. + CPU Core is the processor which include multi-threads. A thread of CPU is + execution unit with its own PC (Program Counter). As this concept, GPU + Core is the SIMD Processor includes several SIMD Thread (Warp). Each Warp + has its PC [#wiki_tbcp]_. + * - SIMD Thread (run by SIMD Processor) + - Warp (run by Streaming Multiprocessor, SM) + - Each SIMD Processor has 16 SIMD Threads. + - Each SIMD Processor has Memory:Local Memory as :numref:`gpu-mem`. Local + Memory is shared by the SIMD Lanes within a multithreaded SIMD Processor, + but this memory is not shared between multithreaded SIMD Processors. + Warp has it's own PC and may map to + one whole function or part of function. Compiler and run time may assign + them to the same Warp or different Warps [#Quantitative-gpu-warp]_. + * - SIMD Lane + - Cuda Thread + - Each SIMD Thread has 16 Lanes.. + - A vertical cut of a thread of SIMD instructions corresponding to + one element executed by one SIMD Lane. It is a vector instruction with + processing 16-elements. SIMD Lane registers: each Lane has its TLR + (Thread Level Registers) which is allocated from Register file (32768 x + 32-bit) by SM as :numref:`sm`. + * - Chime + - Chime + - Each SIMD Lane has 2 chimes. + - One clock rate of rest of chip executes 2 data elements on two Cuda-core + as :numref:`sm`. + Vector length is 32 (32 elements). SIMD Lanes is 16. Chime is 2. + This ALU clock cycles, also known as “ping pong” cycles. + As :numref:`grid` for the later Fermi-generation GPUs. + + +Texture unit +~~~~~~~~~~~~ + +As depicted in `section OpenGL Shader Compiler`_. Buffers ~~~~~~~ -In addition the texture unit and instruction, GPU provides different Buffers +In addition to texture units and instructions, GPU provides different Buffers to speedup OpenGL pipeline rendering [#buffers-redbook]_. - Color buffer @@ -1235,6 +1330,7 @@ to speedup OpenGL pipeline rendering [#buffers-redbook]_. seen, a framebuffer is an area in memory that can be rendered to [#framebuffers-ogl]_. + General purpose GPU -------------------- @@ -1244,69 +1340,17 @@ parallel computation on GPU for speeding up and even get CPU and GPU executing simultaneously. Furthmore, any language that allows the code running on the CPU to poll a GPU shader for return values, can create a GPGPU framework [#gpgpuwiki]_. -.. _gpu-terms: -.. figure:: ../Fig/gpu/gpu-terms.png - :align: center - :scale: 50 % - - Terms in Nvidia's gpu (figure from book [#Quantitative-gpu-terms]_) - -.. list-table:: More Desciptive Name for Cuda term in Fermi GPU and Desciption. - :widths: 15 15 10 40 - :header-rows: 1 - - * - More Desciptive Name - - Cuda term - - Structure - - Description - * - Grid - - Grid - - - - Grid is Vectorizable Loop as :numref:`gpu-terms`. - * - SIMD Processor / SIMD Block / SM - - Cuda Thread Engine - - Each Grid has 16 SIMD Processors. - - Each multithreaded SIMD Processor is assigned 512 elements of the vectors to - work on. - SIMD Processors are full processors with separate PCs and are programmed using - threads [#Quantitative-gpu-threadblock]_. - As :numref:`grid`, it assigns 16 Thread Blocks to 16 SIMD Processors. - CPU Core is the processor which include multi-threads. A thread of CPU is - execution unit with its own PC (Program Counter). As this concept, GPU - Core is the SIMD Processor includes several SIMD Thread (Warp). Each Warp - has its PC [#wiki_tbcp]_. - * - SIMD Thread - - Warp - - Each SIMD Processor has 16 SIMD Threads. - - Warp has it's own PC and TLR (Thread Level Registers). Warp may map to - one whole function or part of function. Compiler and run time may assign - them to the same Warp or different Warps [#Quantitative-gpu-warp]_. - * - SIMD Lane - - Cuda Thread - - Each SIMD Thread has 16 Lanes. - - A vertical cut of a thread of SIMD instructions corresponding to - one element executed by one SIMD Lane. It is a vector instruction with - processing 16-elements. - * - Chime - - Chime - - Each SIMD Lane has 2 chimes. - - One clock rate of rest of chip executes 2 data elements on two Cuda-core - as :numref:`sm`. - Vector length is 32 (32 elements). SIMD Lanes is 16. Chime is 2. - This ALU clock cycles, also known as “ping pong” cycles. - As :numref:`grid` for the later Fermi-generation GPUs. - Mapping data in GPU ~~~~~~~~~~~~~~~~~~~ -A GPU may has the HW structure and handle the subset of y[]=a*x[]+y[] array-calculation as follows, +As previous section GPU, the subset of y[]=a*x[]+y[] array-calculation as follows, .. code:: text // Invoke DAXPY with 256 threads per Thread Block __host__ - int nblocks = (n+ 255) / 256; + int nblocks = (n+255) / 256; daxpy<<>>(n, 2.0, x, y); // DAXPY in CUDA __device__ @@ -1315,16 +1359,36 @@ A GPU may has the HW structure and handle the subset of y[]=a*x[]+y[] array-calc if (i < n) y[i] = a*x[i] + y[i]; } +The assembly code of Vector Processor [#VMR]_ and Fermi GPU +[#Quantitative-gpu-asm-daxpy]_ as follows, + +.. rubric:: Assembly code of Vector Processor +.. code:: asm + + LV V1,Rx ;load vector X into V1 + LV V2,Ry ;load vector Y + L.D F0,#0 ;load FP zero into F0 + SNEVS.D V1,F0 ;sets VM(i) to 1 if V1(i)!=F0 + SUBVV.D V1,V1,V2 ;subtract under vector mask + SV V1,Rx ;store the result in X + +.. rubric:: Assembly code of PTX (modified code from refering page 208 - 302 of + book) .. code:: text - shl.u32 R8, blockIdx, 9 ; Thread Block ID * Block size (512 or 29) - add.u32 R8, R8, threadIdx ; R8 = i = my CUDA Thread ID - shl.u32 R8, R8, 3 ; byte offset - ld.global.f64 RD0, [X+R8] ; RD0 = X[i] - ld.global.f64 RD2, [Y+R8] ; RD2 = Y[i] - mul.f64 RD0, RD0, RD4 ; Product in RD0 = RD0 * RD4 (scalar a) - add.f64 RD0, RD0, RD2 ; SuminRD0 = RD0 + RD2 (Y[i]) - st.global.f64 [Y+R8], RD0 ; Y[i] = sum (X[i]*a + Y[i]) + shl.u32 R8, blockIdx, 9 ; Thread Block ID * Block size (512) + add.u32 R8, R8, threadIdx ; R8 = i = my CUDA Thread ID + shl.u32 R9, R8, 3 ; byte offset + setp.neq.s32 P1, RD8, RD3 ; RD3 = n, P1 is predicate register 1 + @!P1, bra ENDIF1, *Push ; Push old mask, set new mask bits + ; if P1 false, go to ENDIF1 + ld.global.f64 RD0, [X+R9] ; RD0 = X[i] + ld.global.f64 RD2, [Y+R9] ; RD2 = Y[i] + mul.f64 RD0, RD0, RD4 ; Product in RD0 = RD0 * RD4 (scalar a) + add.f64 RD0, RD0, RD2 ; SuminRD0 = RD0 + RD2 (Y[i]) + st.global.f64 [Y+R8], RD0 ; Y[i] = sum (X[i]*a + Y[i]) + ENDIF1: + ret, *Pop The following table explains how the elemements of saxpy() maps to lane of SIMD Thread(Warp) of Thread Block(Core) of Grid. @@ -1367,15 +1431,10 @@ Thread(Warp) of Thread Block(Core) of Grid. Core-15 y[7680..7711] = a * ... ... ... y[8160..8191] = a * x[8160..8191] + y[8160..8191] ============ ================================================= ================================================= ======= =========================================== -- If a SIMD Lane (Cuda Thread) handles 2 elements computing, assuming 4 - registers for 1 element, then there are 4*32=128 Thread Level Registers, TLR, - occupied in a SIMD Thread (Warp) to support the SIMT computing. - So, assume a GPU architecture allocating 256 TLR to a SIMD Thread (Warp), then - it has sufficient TLR for more complicated statement, such as - a*X[i]+b*Y[i]+c*Z[i] without spilling in register allocation. All 16 lanes - share the 256 TLR. - Each Thread Block (Core/Warp) has 16 SIMD Threads, so there are 16*256 = 4K - TLR in a SIMD Processor (Core, Cuda Thread Engine). +- Each Cuda Thread run GPU function-code saxpy. Fermi has Register file (32768 x + 32-bit). + As :numref:`sm`, Number of registers in a Thread Block = 16 (SM) * 32 (Cuda + Thread) * 64 (TLR, Thread Level Register) = 32768 x 32-bit (Register file). - When mapping to the fragments/pixels in graphic GPU, x[0..15] corresponding to a two dimensions of tile of fragments/pixels at pixel[0..3][0..3] since image @@ -1389,14 +1448,10 @@ GPU's function. The following is host (CPU) side of a CUDA example to call saxpy on GPU [#cudaex]_ as follows, -.. code:: text - - for(i=0;i<64; i=i+1) - if (X[i] != 0) - X[i] = X[i] – Y[i]; - .. code-block:: c++ + #include + __global__ void saxpy(int n, float a, float * x, float * y) { @@ -1421,6 +1476,9 @@ CPU copy the data from x and y to the corresponding device arrays d_x and d_y using cudaMemcpy. The saxpy kernel is launched by the statement: saxpy<<<(N+255)/256, 256>>>(N, 2.0, d_x, d_y); +In this case we launch the kernel with thread blocks containing 512 elements, +and use integer arithmetic to determine the number of thread blocks required to +process all N elements of the arrays ((N+255)/256) Through cudaMemcpyHostToDevice and cudaMemcpyDeviceToHost, CPU can pass data in x and y arrays to GPU and get result from GPU to y array. Since both of these memory transfers trigger the DMA functions without CPU operation, @@ -1428,20 +1486,7 @@ it may speed up by running both CPU/GPU with their data in their own cache repectively. After DMA memcpy from cpu's memory to gpu's, gpu operates the whole loop of matrix operation for "y[] = a*x[]+y[];" -instructions with one Grid. Furthermore like vector processor, gpu provides -Vector Mask Registers to Handling IF Statements in Vector Loops as the following -code [#VMR]_, - - -.. code:: asm - - LV V1,Rx ;load vector X into V1 - LV V2,Ry ;load vector Y - L.D F0,#0 ;load FP zero into F0 - SNEVS.D V1,F0 ;sets VM(i) to 1 if V1(i)!=F0 - SUBVV.D V1,V1,V2 ;subtract under vector mask - SV V1,Rx ;store the result in X - +instructions with one Grid. GPU persues throughput from SIMD application. Can hide cache-miss latence from SMT. As result GPU may hasn't L2 and L3 like CPU for each core since GPU is highly @@ -1553,6 +1598,7 @@ on their relevant instructions and switches off the other threads, this process Programs use Explicit Synchronization to Reconverge Threads in a Warp [#Volta]_ + OpenCL, Vulkan and spir-v ------------------------- @@ -1737,6 +1783,9 @@ Open Sources .. _section OpenGL: http://jonathan2251.github.io/lbd/gpu.html#opengl +.. _section OpenGL Shader Compiler: + http://jonathan2251.github.io/lbd/gpu.html#opengl-shader-compiler + .. [#cg_basictheory] https://www3.ntu.edu.sg/home/ehchua/programming/opengl/CG_BasicsTheory.html .. [#polygon] https://www.quora.com/Which-one-is-better-for-3D-modeling-Quads-or-Tris @@ -1887,6 +1936,9 @@ Open Sources Book Figure 4.14 of Computer Architecture: A Quantitative Approach 5th edition (The Morgan Kaufmann Series in Computer Architecture and Design) +.. [#Quantitative-gpu-sm] Book Figure 4.20 of Computer Architecture: A Quantitative Approach 5th edition (The + Morgan Kaufmann Series in Computer Architecture and Design) + .. [#Quantitative-gpu-mem] Book Figure 4.17 of Computer Architecture: A Quantitative Approach 5th edition (The Morgan Kaufmann Series in Computer Architecture and Design) @@ -1924,6 +1976,9 @@ Open Sources .. [#VMR] subsection Vector Mask Registers: Handling IF Statements in Vector Loops of Computer Architecture: A Quantitative Approach 5th edition (The Morgan Kaufmann Series in Computer Architecture and Design) +.. [#Quantitative-gpu-asm-daxpy] Code written by refering page 208 - 302 of Computer Architecture: A Quantitative Approach 5th edition (The + Morgan Kaufmann Series in Computer Architecture and Design) + .. [#gpu-latency-tolerant] From section 2.3.2 of book "Heterogeneous Computing with OpenCL 2.0" 3rd edition. https://dahlan.unimal.ac.id/files/ebooks2/2015%203rd%20Heterogeneous%20Computing%20with%20OpenCL%202.0.pdf as follows, "These tasks and the pixels they process are highly parallel, which gives a substan- tial amount of independent work to process for devices with multiple cores and highly latency-tolerant multithreading." .. [#Quantitative-gpu-sparse-matrix] Reference "Gather-Scatter: Handling Sparse Matrices in Vector Architectures": section 4.2 Vector Architecture of A Quantitative Approach 5th edition (The