diff --git a/Part1/PROJ_WIN/CIS565_PROJ_1.suo b/Part1/PROJ_WIN/CIS565_PROJ_1.suo index ad46c84..1c69bb1 100644 Binary files a/Part1/PROJ_WIN/CIS565_PROJ_1.suo and b/Part1/PROJ_WIN/CIS565_PROJ_1.suo differ diff --git a/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj b/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj index 4c88226..a4dd6ea 100644 --- a/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj +++ b/Part1/PROJ_WIN/CIS565_PROJ_1/CIS565_PROJ_1.vcxproj @@ -30,7 +30,7 @@ - + @@ -62,7 +62,7 @@ true true true - compute_10,sm_10;compute_20,sm_20;compute_30,sm_30 + compute_20,sm_20;compute_30,sm_30 @@ -95,7 +95,7 @@ Document - compute_10,sm_10;compute_20,sm_20 + compute_20,sm_20 @@ -114,6 +114,6 @@ - + \ No newline at end of file diff --git a/Part1/PROJ_WIN/CIS565_PROJ_1/vc100.pdb b/Part1/PROJ_WIN/CIS565_PROJ_1/vc100.pdb index b662f85..06d7067 100644 Binary files a/Part1/PROJ_WIN/CIS565_PROJ_1/vc100.pdb and b/Part1/PROJ_WIN/CIS565_PROJ_1/vc100.pdb differ diff --git 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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..002d758 100644 --- a/Part1/src/kernel.cu +++ b/Part1/src/kernel.cu @@ -9,8 +9,8 @@ dim3 threadsPerBlock(blockSize); int numObjects; -const float planetMass = 3e8; const __device__ float starMass = 5e10; +const __device__ float planetMass = 3e8; const float scene_scale = 2e2; //size of the height map in simulation space @@ -89,19 +89,37 @@ __global__ void generateCircularVelArray(int time, int N, glm::vec3 * arr, glm:: // REMEMBER : F = (G * m_a * m_b) / (r_ab ^ 2) __device__ glm::vec3 accelerate(int N, glm::vec4 my_pos, glm::vec4 * their_pos) { - return glm::vec3(0.0f); + glm::vec3 delta_acc (0.f); + float dist_from_star = sqrt(my_pos.x * my_pos.x + my_pos.y * my_pos.y + my_pos.z * my_pos.z); + if (dist_from_star > 1) { + delta_acc += (float)(G * starMass) / pow(dist_from_star, 3) * (-glm::vec3(my_pos)); + } + for (int i = 0; i < N; i++) { + //glm::vec3 their_pos_3d (their_pos[i]); + glm::vec3 R (their_pos[i] - my_pos); + float dist = sqrt(R.x * R.x + R.y * R.y + R.z * R.z); + if (dist > 1) { + delta_acc += (float)(G * planetMass) / pow(dist, 3) * R; + } + } + + return delta_acc; } // TODO : 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 index = threadIdx.x + (blockIdx.x * blockDim.x); + acc[index] = accelerate(N, pos[index], pos); } // TODO : 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 index = threadIdx.x + (blockIdx.x * blockDim.x); + pos[index] += glm::vec4(dt * vel[index],0); + vel[index] += dt * acc[index]; } // Update the vertex buffer object @@ -180,6 +198,11 @@ void initCuda(int N) void cudaNBodyUpdateWrapper(float dt) { // FILL IN HERE + dim3 fullBlocksPerGrid((int)ceil(float(numObjects)/float(blockSize))); + updateF<<>>(numObjects, dt, dev_pos, dev_vel, dev_acc); + cudaThreadSynchronize(); + updateS<<>>(numObjects, dt, dev_pos, dev_vel, dev_acc); + cudaThreadSynchronize(); } void cudaUpdateVBO(float * vbodptr, int width, int height) diff --git a/Part1/src/main.cpp b/Part1/src/main.cpp index ea86207..268699e 100644 --- a/Part1/src/main.cpp +++ b/Part1/src/main.cpp @@ -62,7 +62,7 @@ void runCuda() // execute the kernel cudaNBodyUpdateWrapper(DT); #if VISUALIZE == 1 - cudaUpdatePBO(dptr, field_width, field_height); + //cudaUpdatePBO(dptr, field_width, field_height); cudaUpdateVBO(dptrvert, field_width, field_height); #endif // unmap buffer object diff --git a/Part2/Part2.sln b/Part2/Part2.sln new file mode 100644 index 0000000..5bf4289 --- /dev/null +++ b/Part2/Part2.sln @@ -0,0 +1,20 @@ + +Microsoft Visual Studio Solution File, Format Version 11.00 +# Visual Studio 2010 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Project-1_part-2", "Project-1_part-2\Project-1_part-2.vcxproj", "{B9F2B494-1DFB-43C4-A456-00C4DCF651F9}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {B9F2B494-1DFB-43C4-A456-00C4DCF651F9}.Debug|Win32.ActiveCfg = Debug|Win32 + {B9F2B494-1DFB-43C4-A456-00C4DCF651F9}.Debug|Win32.Build.0 = Debug|Win32 + {B9F2B494-1DFB-43C4-A456-00C4DCF651F9}.Release|Win32.ActiveCfg = Release|Win32 + {B9F2B494-1DFB-43C4-A456-00C4DCF651F9}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/Part2/Project-1_part-2/Project-1_part-2.vcxproj b/Part2/Project-1_part-2/Project-1_part-2.vcxproj new file mode 100644 index 0000000..94e3a47 --- /dev/null +++ b/Part2/Project-1_part-2/Project-1_part-2.vcxproj @@ -0,0 +1,81 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {B9F2B494-1DFB-43C4-A456-00C4DCF651F9} + Project1_part2 + Part2 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + + + + Level3 + Disabled + + + true + kernel32.lib;user32.lib;gdi32.lib;cudart.lib;winspool.lib;comdlg32.lib;advapi32.lib;shell32.lib;ole32.lib;oleaut32.lib;uuid.lib;odbc32.lib;odbccp32.lib;%(AdditionalDependencies) + + + $(ProjectDir)$(Platform)/$(Configuration)/%(Filename)%(Extension).obj + + + $(CudaToolkitIncludeDir) + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + $(ProjectDir)$(Platform)/$(Configuration)/%(Filename)%(Extension).obj + $(CudaToolkitIncludeDir) + + + + + + + \ No newline at end of file diff --git a/Part2/Project-1_part-2/Project-1_part-2.vcxproj.filters b/Part2/Project-1_part-2/Project-1_part-2.vcxproj.filters new file mode 100644 index 0000000..f07abd3 --- /dev/null +++ b/Part2/Project-1_part-2/Project-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/Project-1_part-2/matrix_math.cu b/Part2/Project-1_part-2/matrix_math.cu new file mode 100644 index 0000000..99da827 --- /dev/null +++ b/Part2/Project-1_part-2/matrix_math.cu @@ -0,0 +1,125 @@ +#include +#include +#include +#include + +float cpu_array [25]; +float cpu_output_array [25]; +float *gpu_array_A; +float *gpu_array_B; +float *gpu_output_array; +const int mat_width = 5; + +dim3 dimBlock(mat_width, mat_width); +dim3 dimGrid(1, 1); + +void initCuda(int width) { + cudaMalloc((void**)&gpu_array_A, width*width*sizeof(float)); + cudaMemcpy(gpu_array_A, cpu_array, width*width*sizeof(float), cudaMemcpyHostToDevice); + + cudaMalloc((void**)&gpu_array_B, width*width*sizeof(float)); + cudaMemcpy(gpu_array_B, cpu_array, width*width*sizeof(float), cudaMemcpyHostToDevice); + + cudaMalloc((void**)&gpu_output_array, width*width*sizeof(float)); +} + +__global__ void mat_add (float* Ad, float* Bd, float* Pd, int width) { + int index = threadIdx.y * width + threadIdx.x; + + Pd[index] = Ad[index] + Bd[index]; +} + +__global__ void mat_sub (float* Ad, float* Bd, float* Pd, int width) { + int index = threadIdx.y * width + threadIdx.x; + + Pd[index] = Ad[index] - Bd[index]; +} + +__global__ void mat_mult (float* Ad, float* Bd, float* Pd, int width) { + int tx = threadIdx.x; + int ty = threadIdx.y; + + float Pvalue = 0; + + for (int k = 0; k < width; k++) { + Pvalue += Ad[ty * width + k] * Bd[k * width + tx]; + } + + Pd[ty * width + tx] = Pvalue; +} + +void cpu_mat_add (float* A, float* B, float* P, int width) { + for (int i = 0; i < width; i++) { + for (int j = 0; j < width; j++) { + P[j * width + i] = A[j * width + i] + B[j * width + i]; + } + } +} + +void cpu_mat_sub (float* A, float* B, float* P, int width) { + for (int i = 0; i < width; i++) { + for (int j = 0; j < width; j++) { + P[j * width + i] = A[j * width + i] - B[j * width + i]; + } + } +} + +/*** +* Simple helper function for printing a matrix. +***/ +void cpu_mat_mult (float* A, float* B, float* P, int width) { + for (int i = 0; i < width; i++) { + for (int j = 0; j < width; j++) { + float Psum = 0; + for (int k = 0; k < width; k++) { + Psum += A[j * width + k] * B[k * width + i]; + } + P[j * width + i] = Psum; + } + } +} + +/*** +* Simple helper function for printing a matrix. +***/ +void printMatrix (float* M, int width) { + for (int i = 0; i < width; i++) { + for (int j = 0; j < width; j++) { + std::cout << cpu_output_array[i * width + j] << " "; + } + std::cout << std::endl; + } +} + +int main(int argc, char** argv) { + + for (int i = 0; i < 25; i++) { + cpu_array[i] = i; + } + + initCuda(mat_width); + + mat_add<<>>(gpu_array_A, gpu_array_B, gpu_output_array, mat_width); + cudaMemcpy(cpu_output_array, gpu_output_array, mat_width*mat_width*sizeof(float), cudaMemcpyDeviceToHost); + printMatrix(cpu_output_array, mat_width); + + cpu_mat_add(cpu_array, cpu_array, cpu_output_array, mat_width); + printMatrix(cpu_output_array, mat_width); + + mat_sub<<>>(gpu_array_A, gpu_array_B, gpu_output_array, mat_width); + cudaMemcpy(cpu_output_array, gpu_output_array, mat_width*mat_width*sizeof(float), cudaMemcpyDeviceToHost); + printMatrix(cpu_output_array, mat_width); + + cpu_mat_sub(cpu_array, cpu_array, cpu_output_array, mat_width); + printMatrix(cpu_output_array, mat_width); + + mat_mult<<>>(gpu_array_A, gpu_array_B, gpu_output_array, mat_width); + cudaMemcpy(cpu_output_array, gpu_output_array, mat_width*mat_width*sizeof(float), cudaMemcpyDeviceToHost); + printMatrix(cpu_output_array, mat_width); + + cpu_mat_mult(cpu_array, cpu_array, cpu_output_array, mat_width); + printMatrix(cpu_output_array, mat_width); + + int a; + std::cin>>a; +} \ No newline at end of file diff --git a/README.md b/README.md index 70ae0d3..7680160 100644 --- a/README.md +++ b/README.md @@ -1,120 +1,31 @@ -Project 1 +Project 1 Writeup ========= -# 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. - -## 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. - -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. - -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. - -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. - -* 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. +Performance Analysis + +1. Changing the tile/block sizes + Comparing the differences between block sizes of powers of two indicates that there is an + optimal size (128) and going up or down decreases the performance. Increasing the block + size should allow more threads to share memory and decrease the downtime from loading the + data, but reduces the number of memory fetches that can be performed at once? I'm not sure. + +2. Changing the number of planets + Increasing the number of planets decreases performance, while decreasing the number of + planets increases performance. There are a few causes for this. First of all, increasing + the number of planets increases the number of calculations per thread (by a linear factor). + Second, the number of threads increases (also by a linear factor) because more planets need + to be processed (I don't know if I have the terms right here). + +3. Comparing serial/GPU versions of matrix math + The GPU version should take far, far less time than the serial version for large matrices. + With the 5x5 array that we have, the difference is small. However, the GPU version's add + and subtract should scale linearly with the width, while a serial calculation scales with + width^2. The multiply should scale both by another factor of the width. + +4. Improving the performance of nbody by not using glm + I noticed while writing the nbody simulation code that glm::normalize() was significantly + reducing the performance. I had 3 calls to the method, and it took my down to 2fps. + With a manual version (vector/width), I got 30 fps instead. In addition, replacing my + calls to glm::length() with sqrt(x^2+y^2+z^2) improved it to 60 fps. My guess is that + it is simply faster to do things locally if possible, since it doesn't need to use + external code. \ No newline at end of file diff --git a/README_instructions.md b/README_instructions.md new file mode 100644 index 0000000..70ae0d3 --- /dev/null +++ b/README_instructions.md @@ -0,0 +1,120 @@ +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. + +## 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. + +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. + +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. + +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. + +* 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.