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Toolkit\CUDA\v6.5\include\thrust/detail/config/global_workarounds.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/cstdint.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/discard_block_engine.h c:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\include\iostream -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/random_core_access.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/discard_block_engine.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/linear_congruential_engine.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/linear_congruential_engine_discard.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/mod.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/linear_congruential_engine.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/linear_feedback_shift_engine.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/linear_feedback_shift_engine_wordmask.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/linear_feedback_shift_engine.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/subtract_with_carry_engine.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/subtract_with_carry_engine.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/xor_combine_engine.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/detail/type_traits.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/detail/type_traits/has_trivial_assign.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/xor_combine_engine_max.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/detail/mpl/math.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/xor_combine_engine.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/uniform_int_distribution.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/pair.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/detail/pair.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/detail/swap.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/detail/integer_traits.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/uniform_int_distribution.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/uniform_real_distribution.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/uniform_real_distribution.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/normal_distribution.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/normal_distribution_base.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\thrust/random/detail/normal_distribution.inl -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\math_constants.h -C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v5.5\include\cuda.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/random_core_access.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/discard_block_engine.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/linear_congruential_engine.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_congruential_engine_discard.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/mod.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_congruential_engine.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/linear_feedback_shift_engine.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_feedback_shift_engine_wordmask.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/linear_feedback_shift_engine.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/subtract_with_carry_engine.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/subtract_with_carry_engine.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/xor_combine_engine.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/type_traits.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/type_traits/has_trivial_assign.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/xor_combine_engine_max.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/mpl/math.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/xor_combine_engine.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/uniform_int_distribution.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/pair.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/pair.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/swap.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/detail/integer_traits.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/uniform_int_distribution.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/uniform_real_distribution.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/uniform_real_distribution.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/normal_distribution.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/normal_distribution_base.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\thrust/random/detail/normal_distribution.inl +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\math_constants.h +C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v6.5\include\cuda.h diff --git a/Part1/src/kernel.cu b/Part1/src/kernel.cu index ee9b9e5..b30b129 100644 --- a/Part1/src/kernel.cu +++ b/Part1/src/kernel.cu @@ -83,25 +83,73 @@ __global__ void generateCircularVelArray(int time, int N, glm::vec3 * arr, glm:: } } -// TODO: Core force calc kernel global memory +// Core force calc kernel global memory // HINT : You may want to write a helper function that will help you // calculate the acceleration contribution of a single body. // REMEMBER : F = (G * m_a * m_b) / (r_ab ^ 2) + +__device__ glm::vec3 singleBodyAcceleration(glm::vec4 currentBodyPos, glm::vec4 otherBodyPos){ + + glm::vec3 forceVector(0,0,0); + + // distance between other body and this body + glm::vec3 distance = glm::vec3(otherBodyPos.x, otherBodyPos.y, otherBodyPos.z) + - glm::vec3(currentBodyPos.x, currentBodyPos.y, currentBodyPos.z); + + // get magnitude of distance vector + float r_ab = glm::length(distance); + + // make sure distance is not 0 + if (r_ab > 00000.1f) { + // F = (G * m_a * m_b) / (r_ab ^ 2) + float force = G * otherBodyPos.w / (r_ab * r_ab); + glm::vec3 direction = distance / r_ab; + + // force * direction vector + forceVector = force * direction; + } + + return forceVector; +} + __device__ glm::vec3 accelerate(int N, glm::vec4 my_pos, glm::vec4 * their_pos) { - return glm::vec3(0.0f); + // calculate first with respect to the star + glm::vec4 starPos = glm::vec4(0, 0, 0, starMass); + glm::vec3 collectiveForce = singleBodyAcceleration(my_pos, starPos); + + // sum up forces from other planets + for (int i = 0; i < N; i++) { + collectiveForce += singleBodyAcceleration(my_pos, their_pos[i]); + } + + return collectiveForce; } -// TODO : update the acceleration of each body +// update the acceleration of each body __global__ void updateF(int N, float dt, glm::vec4 * pos, glm::vec3 * vel, glm::vec3 * acc) { // FILL IN HERE + int i = blockIdx.x * blockDim.x + threadIdx.x; + + // only use threads up to N + if (i < N) { + acc[i] = accelerate(N, pos[i], pos); + } } -// TODO : update velocity and position using a simple Euler integration scheme +// update velocity and position using a simple Euler integration scheme __global__ void updateS(int N, float dt, glm::vec4 * pos, glm::vec3 * vel, glm::vec3 * acc) { // FILL IN HERE + int i = blockIdx.x * blockDim.x + threadIdx.x; + + if (i < N) { + vel[i] += dt * acc[i]; + pos[i].x += dt * vel[i].x; + pos[i].y += dt * vel[i].y; + pos[i].z += dt * vel[i].z; + } } // Update the vertex buffer object @@ -176,10 +224,14 @@ void initCuda(int N) cudaThreadSynchronize(); } -// TODO : Using the functions you wrote above, write a function that calls the CUDA kernels to update a single sim step +// Using the functions you wrote above, write a function that calls the CUDA kernels to update a single sim step void cudaNBodyUpdateWrapper(float dt) { - // FILL IN HERE + dim3 fullBlocksPerGrid((int)ceil(float(numObjects)/float(blockSize))); + updateF<<>>(numObjects, dt, dev_pos, dev_vel, dev_acc); + updateS<<>>(numObjects, dt, dev_pos, dev_vel, dev_acc); + + cudaThreadSynchronize(); } void cudaUpdateVBO(float * vbodptr, int width, int height) @@ -192,7 +244,7 @@ void cudaUpdateVBO(float * vbodptr, int width, int height) void cudaUpdatePBO(float4 * pbodptr, int width, int height) { dim3 fullBlocksPerGrid((int)ceil(float(width*height)/float(blockSize))); - sendToPBO<<>>(numObjects, dev_pos, pbodptr, width, height, scene_scale); + //sendToPBO<<>>(numObjects, dev_pos, pbodptr, width, height, scene_scale); cudaThreadSynchronize(); } diff --git a/Part1/src/main.cpp b/Part1/src/main.cpp index ea86207..c26fce0 100644 --- a/Part1/src/main.cpp +++ b/Part1/src/main.cpp @@ -5,6 +5,7 @@ #include "main.h" #define N_FOR_VIS 5000 +//#define N_FOR_VIS 20000 #define DT 0.2 #define VISUALIZE 1 //------------------------------- diff --git a/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.sln b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.sln new file mode 100644 index 0000000..e1b3018 --- /dev/null +++ b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.sln @@ -0,0 +1,20 @@ + +Microsoft Visual Studio Solution File, Format Version 11.00 +# Visual Studio 2010 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "CIS565_PROJ_1_PART_2", "CIS565_PROJ_1_PART_2\CIS565_PROJ_1_PART_2.vcxproj", "{6FDBA8F4-D5DC-4C72-AC1F-79386F052505}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {6FDBA8F4-D5DC-4C72-AC1F-79386F052505}.Debug|Win32.ActiveCfg = Debug|Win32 + {6FDBA8F4-D5DC-4C72-AC1F-79386F052505}.Debug|Win32.Build.0 = Debug|Win32 + {6FDBA8F4-D5DC-4C72-AC1F-79386F052505}.Release|Win32.ActiveCfg = Release|Win32 + {6FDBA8F4-D5DC-4C72-AC1F-79386F052505}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.vcxproj b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.vcxproj new file mode 100644 index 0000000..0cab6bb --- /dev/null +++ b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.vcxproj @@ -0,0 +1,72 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {6FDBA8F4-D5DC-4C72-AC1F-79386F052505} + CIS565_PROJ_1_PART_2 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + + + + Level3 + Disabled + + + true + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + cudart.lib;%(AdditionalDependencies) + $(CUDA_LIB_PATH);../../common/lib;%(AdditionalLibraryDirectories) + + + + + + + + + + \ No newline at end of file diff --git a/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.vcxproj.filters b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.vcxproj.filters new file mode 100644 index 0000000..f07abd3 --- /dev/null +++ b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2.vcxproj.filters @@ -0,0 +1,22 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + Source Files + + + \ No newline at end of file diff --git a/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/matrix_math.cu b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/matrix_math.cu new file mode 100644 index 0000000..8068886 --- /dev/null +++ b/Part2/CIS565_PROJ_1_PART_2/CIS565_PROJ_1_PART_2/matrix_math.cu @@ -0,0 +1,190 @@ +#include +#include +#include +#include + +// Eric Lee +// CIS 565 Project 1 + +using namespace std; + +// Matrices +const int dim = 5; +int memSize = dim * dim * sizeof(float); +float* matrixA; +float* matrixB; + +float* matrixAGPU; +float* matrixBGPU; + +float* resultMatrix; +float* resultGPU; + +// CUDA +dim3 dimGrid(1, 1); +dim3 dimBlock(dim, dim); + +void initMatrices() +{ + // CPU + matrixA = new float[dim * dim]; + matrixB = new float[dim * dim]; + + for (int i = 0; i < 25; i++) { + matrixA[i] = i; + matrixB[i] = i; + } + + resultMatrix = new float[dim * dim]; + + // GPU + // explicitly reserve memory + cudaMalloc((void**)&matrixAGPU, memSize); + cudaMemcpy(matrixAGPU, matrixA, memSize, cudaMemcpyHostToDevice); + + cudaMalloc((void**)&matrixBGPU, memSize); + cudaMemcpy(matrixBGPU, matrixB, memSize, cudaMemcpyHostToDevice); + + cudaMalloc((void**)&resultGPU, memSize); + cudaMemcpy(resultGPU, resultMatrix, memSize, cudaMemcpyHostToDevice); +} + +void freeMatrices() +{ + delete[] matrixA; + delete[] matrixB; + delete[] resultMatrix; + + cudaFree(matrixAGPU); + cudaFree(matrixBGPU); + cudaFree(resultGPU); +} + +// GPU kernel versions +__global__ void mat_add(float* M, float* N, float* result) +{ + int tx = threadIdx.x; + int ty = threadIdx.y; + + float newValue = M[ty * dim + tx] + N[ty * dim + tx]; + + result[ty * dim + tx] = newValue; +} + +__global__ void mat_sub(float* M, float* N, float* result) +{ + int tx = threadIdx.x; + int ty = threadIdx.y; + + float newValue = M[ty * dim + tx] - N[ty * dim + tx]; + + result[ty * dim + tx] = newValue; +} + +__global__ void mat_mult(float* M, float* N, float* result) +{ + int tx = threadIdx.x; + int ty = threadIdx.y; + + float newValue = 0; + + for (int i = 0; i < dim; i++) { + float Melement = M[ty * dim + i]; + float Nelement = N[i * dim + tx]; + newValue += Melement * Nelement; + } + + result[ty * dim + tx] = newValue; +} + +// CPU serial versions +void mat_add_serial(float* M, float* N, float* result) +{ + for (int i = 0; i < dim; i++) { + for (int j = 0; j < dim; j++) { + result[i * dim + j] = M[i * dim + j] + N[i * dim + j]; + } + } +} + +void mat_sub_serial(float* M, float* N, float* result) +{ + for (int i = 0; i < dim; i++) { + for (int j = 0; j < dim; j++) { + result[i * dim + j] = M[i * dim + j] - N[i * dim + j]; + } + } +} + +void mat_mult_serial(float* M, float* N, float* result) +{ + for (int i = 0; i < dim; i++) { + for (int j = 0; j < dim; j++) { + float sum = 0; + + for (int k = 0; k < dim; k++) { + float a = M[i * dim + k]; + float b = N[k * dim + j]; + sum += a * b; + } + result[i * dim + j] = sum; + } + } +} + +void matrixToString(float* matrix, char* string) +{ + int index = 0; + + cout << string << endl; + + for (int i = 0; i < dim; i++) { + for (int j = 0; j < dim; j++) { + cout << matrix[index] << " "; + index++; + } + cout << endl; + } + cout << "----------------" << endl; + cout << endl; +} + +int main() +{ + // initialize 2 5x5 matrices on GPU + initMatrices(); + + matrixToString(matrixA, "Matrix A Initial"); + matrixToString(matrixB, "Matrix B Initial"); + + // TESTING + // Kernel + mat_add<<>>(matrixAGPU, matrixBGPU, resultGPU); + cudaMemcpy(resultMatrix, resultGPU, memSize, cudaMemcpyDeviceToHost); + matrixToString(resultMatrix, "Kernel Add"); + + mat_sub<<>>(matrixAGPU, matrixBGPU, resultGPU); + cudaMemcpy(resultMatrix, resultGPU, memSize, cudaMemcpyDeviceToHost); + matrixToString(resultMatrix, "Kernel Sub"); + + mat_mult<<>>(matrixAGPU, matrixBGPU, resultGPU); + cudaMemcpy(resultMatrix, resultGPU, memSize, cudaMemcpyDeviceToHost); + matrixToString(resultMatrix, "Kernel Mult"); + + // Serial + mat_add_serial(matrixA, matrixB, resultMatrix); + matrixToString(resultMatrix, "Serial Add"); + + mat_sub_serial(matrixA, matrixB, resultMatrix); + matrixToString(resultMatrix, "Serial Sub"); + + mat_mult_serial(matrixA, matrixB, resultMatrix); + matrixToString(resultMatrix, "Serial Mult"); + + // prevent window from auto closing + getchar(); + + freeMatrices(); + + return 0; +} \ No newline at end of file diff --git a/README.md b/README.md index 70ae0d3..0b4364f 100644 --- a/README.md +++ b/README.md @@ -3,118 +3,30 @@ Project 1 # Project 1 : Introduction to CUDA -## NOTE : -This project (and all other projects in this course) requires a NVIDIA graphics -card with CUDA capabilityi! Any card with compute capability 2.0 and up will -work. This means any card from the GeForce 400 and 500 series and afterwards -will work. If you do not have a machine with these specs, feel free to use -computers in the SIG Lab. All computers in SIG lab and Moore 100 C have CUDA -capable cards and should already have the CUDA SDK installed. +Eric Lee -## PART 1 : INSTALL NSIGHT -To help with benchmarking and performance analysis, we will be using NVIDIA's -profiling and debugging tool named NSight. Download and install it from the -following link for whichever IDE you will be using: -http://www.nvidia.com/object/nsight.html. +## Performance Analysis -NOTE : If you are using Linux / Mac, most of the screenshots and class usage of -NSight will be in Visual Studio. You are free to use to the Eclipse version -NSight during these in class labs, but we will not be able to help you as much. - -## PART 2 : NBODY SIMULATION -To get you used to using CUDA kernels, we will be writing a simple 2D nbody -simulator. The following source files are included in the project: - -* main.cpp : sets up graphics stuff for visualization -* kernel.cu : this contains the CUDA kernel calls - -All the code that you will need to modify is in kernel.cu and is marked clearly -by TODOs. - -## PART 3 : MATRIX MATH -In this portion we will walk you through setting up a project that writes some -simple matrix math functions. Please put this portion in a folder marked Part2 -in your repository. - -### Step 1 : Create your project. -Using the instructions on the Google forum, please set up a new Visual Studio project that -compiles using CUDA. For uniformity, please write your main function and all -your code in a file named matrix_math.cu. - -### Step 2 : Setting up CUDA memory. -As we discussed in class, there is host memory and device memory. Host memory -is the memory that exists on the CPU, whereas device memory is memory on the -GPU. - -In order to create/reserve memory on the GPU, we need to explicitly do so -using cudaMalloc. By calling cudaMalloc, we are calling malloc on the GPU to -reserve a portion of its memory. Like malloc, cudaMalloc simply mallocs a -portion of memory and returns a pointer. This memory is only accessible on the -device unless we explicitly copy memory from the GPU to the CPU. The reverse is -also true. - -We can copy memory to and from the GPU using the function cudaMemcpy. Like the -POSIX C memcpy, you will need to specify the size of memory you are copying. -The last argument is used to specify the direction of the copy (from GPU to CPU -or the other way around). - -Please initialize 2 5 x 5 matrices represented as an array of floats on the CPU -and the GPU where each of the entry is equal to its position (i.e. A_00 = 0, -A_01 = 1, A_44 = 24). - -### Step 3 : Creating CUDA kernels. -In the previous part, we explicitly divided the CUDA kernels from the rest of -the file for stylistic purposes. Since there will be far less code in this -project, we will write the global and device functions in the same file as the -main function. - -Given a matrix A and matrix B (both represented as arrays of floats), please -write the following functions : -* mat_add : A + B -* mat_sub : A - B -* mat_mult : A * B - -You may assume for all matrices that the dimensions of A and B are the same and -that they are square. - -Use the 2 5 x 5 matrices to test your code either by printing directly to the -console or writing an assert. - -THINGS TO REMEMBER : -* global and device functions only have access to memory that is explicitly on - the device, meaning you MUST copy memory from the CPU to the GPU if you would - like to use it there -* The triple triangle braces "<<<" begin and end the global function call. This - provides parameters with which CUDA uses to set up tile size, block size and - threads for each warp. -* Do not fret if Intellisense does not understand CUDA keywords (if they have - red squiggly lines underneath CUDA keywords). There is a way to integrate - CUDA syntax highlighting into Visual Studio, but it is not the default. - -### Step 4 : Write a serial version. -For comparison, write a single-threaded CPU version of mat_add, mat_sub and -mat_mult. We will not introduce timing elements in this project, but please -keep them in mind as the upcoming lab will introduce more on this topic. - -## PART 4 : PERFORMANCE ANALYSIS -Since this is the first project, we will guide you with some example -questions. In future projects, please answer at least these questions, as -they go through basic performance analysis. Please go above and beyond the -questions we suggest and explore how different aspects of your code impact -performance as a whole. +* How does changing the tile and block sizes change performance? Why? +Increasing tile and block size should increase performance up to a point. It did not +affect this simulation too much. -We have provided a frame counter as a metric, but feel free to add cudaTimers, -etc. to do more fine-grained benchmarking of various aspects. +* How does changing the number of planets change performance? Why? +5 planets - 60 FPS +200 planets - 60 FPS +2500 planets - 60 FPS +4000 planets - 40 FPS +5000 planets - 30 FPS +10000 planets - 10 FPS +20000 planets - 3 FPS -NOTE : Performance should be measured in comparison to a baseline. Be sure to -describe the changes you make between experiments and how you are benchmarking. +The more planets there are, the bigger performance hit the simulation takes. Inverse +relation between number of planets and performance. There are parts of the code (accelerate) that are not taking full advantage of the GPU. -* How does changing the tile and block sizes change performance? Why? -* How does changing the number of planets change performance? Why? * Without running experiments, how would you expect the serial and GPU verions of matrix_math to compare? Why? - -## SUBMISSION -Please commit your changes to your forked version of the repository and open a -pull request. Please write your performance analysis in your README.md. -Remember to email Harmony (harmoli+CIS565@seas.upenn.edu) your grade and why. +Because we are dealing with such small matrices in this project, the performance +difference is extremely negligible. However, as the matrices scale larger and larger, +we should should a significant increase in performance for the GPU version of +matrix_math because each element in the resulting matrix can be calculated in +parallel.