serial_no int64 1 24.2k | cuda_source stringlengths 11 9.01M |
|---|---|
4,401 | #include "includes.h"
__global__ void add(float *loc, float *temp, const int num) {
int idx = blockIdx.x*blockDim.x+threadIdx.x;
if(idx < num) {
atomicAdd(loc,temp[idx]);
}
} |
4,402 | #include <stdio.h>
static void HandleError( cudaError_t err,
const char *file,
int line ) {
if (err != cudaSuccess) {
printf( "%s in %s at line %d\n", cudaGetErrorString( err ),
file, line );
exit( EXIT_FAILURE );
}
}
#define HANDLE_ERROR( err ) (HandleError( err, __FILE__, __LINE__ ))
int main(int argc, char const *argv[])
{
//Alibek Cholponbaev Assignment 3
//code from the book
//get device count
printf("Alibek's remote machine:\n");
int count;
HANDLE_ERROR(cudaGetDeviceCount(&count));
printf("number of GPU devices: %d\n\n", count);
//get device props
cudaDeviceProp prop;
for(int i = 0; i < count; i++) {
HANDLE_ERROR(cudaGetDeviceProperties(&prop, i));
//from the book (from your file)
printf("\tName: %s\n", prop.name);
printf( "\tCompute capability: %d.%d\n", prop.major, prop.minor);
printf( "\tClock rate: %d\n", prop.clockRate );
printf( "\tDevice copy overlap: " );
if (prop.deviceOverlap)
printf( "Enabled\n" );
else
printf( "Disabled\n" );
printf( "\tKernel execition timeout: " );
if (prop.kernelExecTimeoutEnabled)
printf( "Enabled\n" );
else
printf( "Disabled\n" );
printf( "--- Memory Information for device %d ---\n", i );
printf("\tTotal global mem: %ld\n", prop.totalGlobalMem );
printf("\tTotal constant Mem: %ld\n", prop.totalConstMem );
printf("\tMax mem pitch: %ld\n", prop.memPitch );
printf( "\tTexture Alignment: %ld\n", prop.textureAlignment );
printf("\n");
printf( "\tMultiprocessor count: %d\n", prop.multiProcessorCount );
printf( "\tShared mem per processor: %ld\n", prop.sharedMemPerBlock );
printf( "\tRegisters per processor: %d\n", prop.regsPerBlock );
printf( "\tThreads in warp: %d\n", prop.warpSize );
printf( "\tMax threads per block: %d\n", prop.maxThreadsPerBlock );
printf( "\tMax block dimensions: (%d, %d, %d)\n",
prop.maxThreadsDim[0],
prop.maxThreadsDim[1],
prop.maxThreadsDim[2]);
printf( "\tMax grid dimensions: (%d, %d, %d)\n",
prop.maxGridSize[0],
prop.maxGridSize[1],
prop.maxGridSize[2]);
printf("\n");
}
printf("Please see my code for changes I made\n");
return 0;
}
|
4,403 | //#include "Mandelbrot.h"
//
//#include <iostream>
//
//using std::cout;
//using std::endl;
//
///*----------------------------------------------------------------------*\
// |* Declaration *|
// \*---------------------------------------------------------------------*/
//
///*--------------------------------------*\
// |* Imported *|
// \*-------------------------------------*/
//
//extern __global__ void mandelbrot(uchar4* ptrDevPixels,uint w, uint h,float t);
//
///*--------------------------------------*\
// |* Public *|
// \*-------------------------------------*/
//
///*--------------------------------------*\
// |* Private *|
// \*-------------------------------------*/
//
///*----------------------------------------------------------------------*\
// |* Implementation *|
// \*---------------------------------------------------------------------*/
//
///*--------------------------------------*\
// |* Public *|
// \*-------------------------------------*/
//
//Mandelbrot::Mandelbrot(const Grid& grid, uint w, uint h, float dt) :
// Animable_I<uchar4>(grid, w, h, "Mandelbrot_CUDA_rgba_uchar4")
// {
// // Input
// this->dt = dt; // animation
//
// // Tools
// this->t = 0; // protected dans super classe Animable
// }
//
//Mandelbrot::~Mandelbrot(void)
// {
// // rien
// }
//
///*--------------------------------------*\
// |* Public *|
// \*-------------------------------------*/
//
///**
// * Override
// */
//void Mandelbrot::animationStep()
// {
// t += dt;
// }
//
///*--------------------------------------*\
// |* Private *|
// \*-------------------------------------*/
//
///**
// * Override (code naturel omp)
// * Image non zoomable : domaineMath pas use ici
// */
//void Mandelbrot::process(uchar4* ptrDevPixels, uint w, uint h, const DomaineMath& domaineMath)
// {
// Device::lastCudaError("mandelbrot rgba uchar4 (before)"); // facultatif, for debug only, remove for release
//
// mandelbrot<<<dg,db>>>(ptrDevPixels,w,h,t);
//
// Device::lastCudaError("mandelbrot rgba uchar4 (after)"); // facultatif, for debug only, remove for release
// }
//
///*----------------------------------------------------------------------*\
// |* End *|
// \*---------------------------------------------------------------------*/
//
|
4,404 | #include <stdio.h>
#include <stdlib.h>
#include <cuda_runtime.h>
#define N 1024
__global__ void saxpy(float *d_x, float *d_y){
int tid = blockIdx.x * blockDim.x + threadIdx.x;
if (tid < N) d_y[tid] = d_x[tid] * 2.0f + d_y[tid];
}
int main(){
float *h_y, *h_x;
float *d_y, *d_x;
int memSize = sizeof(float) * N;
h_y = (float*) malloc(memSize);
h_x = (float*) malloc(memSize);
cudaMalloc((void**)&d_x, memSize);
cudaMalloc((void**)&d_y, memSize);
for (int i = 0; i < N; ++i) {
h_x[i] = h_y[i] = 1.0f;
}
cudaMemcpy(d_x, h_x, memSize, cudaMemcpyHostToDevice);
cudaMemcpy(d_y, h_y, memSize, cudaMemcpyHostToDevice);
dim3 block(N / 256);
dim3 thread(256);
saxpy<<< block, thread >>>(d_x, d_y);
cudaMemcpy(h_x, d_x, memSize, cudaMemcpyDeviceToHost);
cudaMemcpy(h_y, d_y, memSize, cudaMemcpyDeviceToHost);
for (int i = 0; i < N; ++i) {
printf("%f\n", h_y[i]);
}
free(h_y);
free(h_x);
cudaFree(d_x);
cudaFree(d_y);
} |
4,405 | //Got Help from Henry
#include <stdio.h> //Standard Input/Output Lib
#include <stdlib.h> //Standard Lib
#define N 3 //Dimensions for row matirx
#define M 3 //Dimensions for column matrix
/* Call Kernal and pass in flat A matrix and B vector
Matrix Multiply A and B and store output in C array */
__global__ void matrix_vector_mult(float *a, float *b, float *c){
int tId = threadIdx.x; //Thread ID(Row Index) for flat A Matrix
float sum = 0.0;
for(int i = 0; i < M; i++){ //Iterate through Columns
//Will allow us to iterate through columns
sum += a[tId * N + i] * b[i]; //(Row Index * 3) + column
}
c[tId] = sum; //Add Values to tID(Current row index)
}
/*ALLOCATE MEMORY ARRAY */
void allocate_mem(float** arr1d, int n,int m){
*arr1d = (float*)malloc(n*m*sizeof(float));
}
int main(){
float *h_a; //HOST | CPU
float *h_b; //HOST | CPU
float *h_c; //HOST | CPU
float *d_a; //DEVICE | GPU
float *d_b; //DEVICE | GPU
float *d_c; //DEVICE | GPU
/*ALLOCATE 1D IN CPU MEM */
allocate_mem(&h_b,M,1);
allocate_mem(&h_c,M,1);
//Fill 1D Vectors
for(int i = 0; i < M; i++){
h_b[i] = i; //0, 1 ,2
h_c[i] = 0.0;// 0.0, 0.0, 0.0
printf("h_b:%0.1f h_c%0.1f\n", h_b[i], h_c[i]);
}
/* ALLOCATE 2D IN CPU MEM */
allocate_mem(&h_a,N,M);
for(int i = 0; i < N; i++){
for(int j = 0; j < M;j++){
h_a[i * N + j] = j; //0,1,2 0,1,2 0,1,2
printf("h_a:%0.1f\n",h_a[i * N + j]);
}
}
/* ALLOCATE CUDA MEMORY */
cudaMalloc((void**) &d_a, N*M*sizeof(float));
cudaMalloc((void**) &d_b, N*sizeof(float));
cudaMalloc((void**) &d_c, N*sizeof(float));
/* Copy Memory From Host(CPU) to Device(GPU)*/
cudaMemcpy(d_a, h_a, N*M*sizeof(float), cudaMemcpyHostToDevice);
cudaMemcpy(d_b, h_b, M*sizeof(float), cudaMemcpyHostToDevice);
/* Invoke Kernal (GPU)*/
matrix_vector_mult<<<1,N>>>(d_a,d_b,d_c);
/* Copy Memory Back From Device(GPU) to Host(CPU)*/
cudaMemcpy(h_c, d_c, N*sizeof(float), cudaMemcpyDeviceToHost);
/* Print Output from Multiplied Matrices*/
for(int i = 0; i < N; i++){
printf("%0.1f\n", h_c[i]);
}
/* Free DEVICE(GPU) Memory First(ALWAYS)*/
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_c);
/*Free HOST(CPU) Memory Last */
free(h_a);
free(h_b);
free(h_c);
return 0;
}
|
4,406 | #include "includes.h"
__global__ void sequence_gpu(int *d_ptr, int length)
{
int elemID = blockIdx.x * blockDim.x + threadIdx.x;
if (elemID < length)
{
d_ptr[elemID] = elemID;
}
} |
4,407 | #include <iostream>
int main() {
int devices;
cudaGetDeviceCount(&devices);
cudaDeviceProp prop;
cudaGetDeviceProperties(&prop, 0);
printf(" Device name: %s\n", prop.name);
printf(" Memory Clock Rate (KHz): %d\n", prop.memoryClockRate);
printf(" Memory Bus Width (bits): %d\n", prop.memoryBusWidth);
printf(" Peak Memory Bandwidth (GB/s): %f\n\n", 2.0*prop.memoryClockRate*(prop.memoryBusWidth/8)/1.0e6);
getchar();
}
|
4,408 | #include "includes.h"
__global__ void Bprop1(const float* dlayer1, const float* dlayer1i, const float* dlayer1o, const float* in, float* dsyn1, float* dsyn1i, float* dsyn1o, const float alpha)
{
int i = blockDim.y*blockIdx.y + threadIdx.y; //64
int j = threadIdx.x; //256
int k = blockIdx.x; //Data.count
atomicAdd(&dsyn1[i*256 + j], dlayer1[k*256 + j] * in[k*64 + i] * alpha);
atomicAdd(&dsyn1i[i*256 + j], dlayer1i[k*256 + j] * in[k*64 + i] * alpha);
atomicAdd(&dsyn1o[i*256 + j], dlayer1o[k*256 + j] * in[k*64 + i] * alpha);
} |
4,409 | #include <stdio.h>
#include <CL/cl.h>
extern int N;
#define CHECK_ERROR(err) \
if (err != CL_SUCCESS) { \
printf("[%s:%d] OpenCL error %d\n", __FILE__, __LINE__, err); \
exit(EXIT_FAILURE); \
}
char *get_source_code(const char *file_name, size_t *len) {
char *source_code;
size_t length;
FILE *file = fopen(file_name, "r");
if (file == NULL) {
printf("[%s:%d] Failed to open %s\n", __FILE__, __LINE__, file_name);
exit(EXIT_FAILURE);
}
fseek(file, 0, SEEK_END);
length = (size_t)ftell(file);
rewind(file);
source_code = (char *)malloc(length + 1);
fread(source_code, length, 1, file);
source_code[length] = '\0';
fclose(file);
*len = length;
return source_code;
}
double reduction_opencl(int *array, int N) {
cl_platform_id platform;
cl_device_id device;
cl_context context;
cl_command_queue queue;
cl_program program;
char *kernel_source;
size_t kernel_source_size;
cl_kernel kernel;
cl_int err;
err = clGetPlatformIDs(1, &platform, NULL);
CHECK_ERROR(err);
err = clGetDeviceIDs(platform, CL_DEVICE_TYPE_GPU, 1, &device, NULL);
CHECK_ERROR(err);
context = clCreateContext(NULL, 1, &device, NULL, NULL, &err);
CHECK_ERROR(err);
queue = clCreateCommandQueue(context, device, 0, &err);
CHECK_ERROR(err);
kernel_source = get_source_code("kernel.cl", &kernel_source_size);
program = clCreateProgramWithSource(context, 1, (const char**)&kernel_source,
&kernel_source_size, &err);
CHECK_ERROR(err);
err = clBuildProgram(program, 1, &device, "", NULL, NULL);
if (err == CL_BUILD_PROGRAM_FAILURE) {
size_t log_size;
char *log;
err = clGetProgramBuildInfo(program, device, CL_PROGRAM_BUILD_LOG,
0, NULL, &log_size);
CHECK_ERROR(err);
log = (char*)malloc(log_size + 1);
err = clGetProgramBuildInfo(program, device, CL_PROGRAM_BUILD_LOG,
log_size, log, NULL);
CHECK_ERROR(err);
log[log_size] = '\0';
printf("Compiler error:\n%s\n", log);
free(log);
exit(0);
}
CHECK_ERROR(err);
kernel = clCreateKernel(program, "reduction", &err);
CHECK_ERROR(err);
size_t global_size = N;
size_t local_size = 256;
size_t num_work_groups = global_size / local_size;
cl_mem buf_array, buf_partial_sum;
buf_array = clCreateBuffer(context, CL_MEM_READ_ONLY, sizeof(int) * N, NULL, &err);
CHECK_ERROR(err);
buf_partial_sum = clCreateBuffer(context, CL_MEM_WRITE_ONLY,
sizeof(int) * num_work_groups, NULL, &err);
CHECK_ERROR(err);
err = clEnqueueWriteBuffer(queue, buf_array, CL_FALSE, 0, sizeof(int) * N, array,
0, NULL, NULL);
CHECK_ERROR(err);
err = clSetKernelArg(kernel, 0, sizeof(cl_mem), &buf_array);
CHECK_ERROR(err);
err = clSetKernelArg(kernel, 1, sizeof(cl_mem), &buf_partial_sum);
CHECK_ERROR(err);
err = clSetKernelArg(kernel, 2, sizeof(int) * local_size, NULL);
CHECK_ERROR(err);
err = clSetKernelArg(kernel, 3, sizeof(int), &N);
CHECK_ERROR(err);
err = clEnqueueNDRangeKernel(queue, kernel, 1, NULL, &global_size, &local_size,
0, NULL, NULL);
CHECK_ERROR(err);
int *partial_sum = (int*)malloc(sizeof(int) * num_work_groups);
err = clEnqueueReadBuffer(queue, buf_partial_sum, CL_TRUE, 0,
sizeof(int) * num_work_groups, partial_sum, 0, NULL, NULL);
CHECK_ERROR(err);
int sum = 0;
int i;
for (i = 0; i < num_work_groups; i++) {
sum += partial_sum[i];
}
clReleaseMemObject(buf_array);
clReleaseMemObject(buf_partial_sum);
free(partial_sum);
clReleaseKernel(kernel);
clReleaseProgram(program);
clReleaseCommandQueue(queue);
clReleaseContext(context);
return (double)sum / N;
}
|
4,410 | #include "includes.h"
/*
* This file is an attempt at producing what the generated target code
* should look like for the multiplyMatrixMatrix routine.
*/
/* Prototype matrix representation. */
struct dag_array_t{
size_t rows;
size_t cols;
int* matrix;
};
/*
DAG Primitive. Here, we leverage the NVIDIA developer examples
to obtain a high-bandwith operation. They make use of shared memory
to avoid strided global memory accesses, and instead perform the
strided access in the shared block, which is roughly a ~3x improvement.
TILE_DIM = 32
BLOCK_ROWS = 8
https://devblogs.nvidia.com/efficient-matrix-transpose-cuda-cc/
*/
const int tp_TILE_DIM = 32;
const int tp_BLOCK_ROWS = 8;
// We use single-dimensional lists.
__global__ void transposeCoalesced(int *result, const int *in)
{
const int TILE_DIM = tp_TILE_DIM;
const int BLOCK_ROWS = tp_BLOCK_ROWS;
__shared__ int tile[TILE_DIM][TILE_DIM];
int x = blockIdx.x * TILE_DIM + threadIdx.x;
int y = blockIdx.y * TILE_DIM + threadIdx.y;
int width = gridDim.x * TILE_DIM;
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
tile[threadIdx.y+j][threadIdx.x] = in[(y+j)*width + x];
__syncthreads();
x = blockIdx.y * TILE_DIM + threadIdx.x; // transpose block offset
y = blockIdx.x * TILE_DIM + threadIdx.y;
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
result[(y+j)*width + x] = tile[threadIdx.x][threadIdx.y + j];
} |
4,411 | #include <stdio.h>
#include <cuda.h>
//-----------------------------------------------------------------------------
// TheKernel: basic kernel containing a print statement.
//-----------------------------------------------------------------------------
__global__ void TheKernel()
{
// Give the kernel something to keep its (single) thread occupied
int i, j, k;
k = 0;
for (i = 0; i < 1000; i++) {
for (j = 0; j < 1000; j++) {
k += i;
if (k > 2000) {
k -= 4*j;
}
else {
k += j;
}
}
}
printf("This is the kernel saying hello world, from the GPU.\n");
}
//-----------------------------------------------------------------------------
// main
//-----------------------------------------------------------------------------
int main()
{
printf("This is the C layer saying hello world, from the host.\n");
TheKernel<<<1, 1>>>();
// Add a print statement immediately after the kernel launch
printf("LOOK: the host keeps on running once the kernel is launched.\n");
// It appears essential to call for synchronization before finally
// exiting, lest you risk the program crashing your machine!
cudaDeviceSynchronize();
return 0;
}
|
4,412 | #include "includes.h"
__global__ void device_apply_scale(float* coords, float scale, size_t total_size){
for(size_t i = blockIdx.x * blockDim.x + threadIdx.x;
i < total_size;
i += blockDim.x * gridDim.x){
coords[i] = coords[i] * scale;
}
__syncthreads();
} |
4,413 | /******************************************************************************
/* @file Impl of gaussian_blur.cuh
/*
/* There can be a lot optmized (e.g. for separable filters) but the current
/* implementation is quite straight forward and simple, leading to
/* okay-ish results.
/*
/* TODO rename
/*
/* @author langenhagen
/* @version 141212
/******************************************************************************/
///////////////////////////////////////////////////////////////////////////////
// INCLUDES project headers
#include "gaussian_blur.cuh"
///////////////////////////////////////////////////////////////////////////////
//INCLUDES C/C++ standard library (and other external libraries)
#include <math.h> // expf
#include <cstdlib> // malloc
#include <iostream>
///////////////////////////////////////////////////////////////////////////////
// KERNEL FUNCTIONS
/**
*/
template<int RADIUS, int CHANNELS> __global__
void convolve_kernel( float* m,
float* o,
int rows,
int cols,
float* convolution_kernel) {
#if defined(KERNEL_WIDTH)
#error Macro KERNEL_WIDTH is already defined.
#endif
#define KERNEL_WIDTH (2*RADIUS+1)
const int tx = threadIdx.x;
const int ty = threadIdx.y;
const int tz = threadIdx.z;
// collaboratively create the kernel
__shared__ float kernel_s[KERNEL_WIDTH][KERNEL_WIDTH];
kernel_s[ty][tx] = convolution_kernel[ ty*KERNEL_WIDTH + tx];
__syncthreads();
cols *= CHANNELS;
const int r = (blockIdx.y*KERNEL_WIDTH + ty);
const int c = (blockIdx.x*KERNEL_WIDTH + tx)*CHANNELS + tz;
if( r >= rows || c >= cols)
return;
const int height = rows-1;
const int width = cols-CHANNELS;
float v(0.0f);
#pragma unroll
for (int i=-RADIUS; i<=RADIUS; ++i) // rows
#pragma unroll
for (int j=-RADIUS; j<=RADIUS; ++j) { // cols
// clamp filter to image borders
const int m_r = min(max(r+i, 0), height);
const int m_c = min(max(c+j*CHANNELS, tz), width+tz);
v += m[m_r*cols+m_c] * kernel_s[i+RADIUS][j+RADIUS];
}
o[r*cols+c] = v;
#undef KERNEL_WIDTH
}
///////////////////////////////////////////////////////////////////////////////
// HELPER FUNCTIONS
/*
*/
__host__
float* prepare_gaussian_kernel( int kernel_radius, float sigma) {
const int width(kernel_radius+kernel_radius+1);
float* ret = (float*)malloc( width*width*sizeof(float));
float sum(0);
// calculate weights
float reciprocal_two_sigma_squared = 1/(2.0f*sigma*sigma);
for( int r=-kernel_radius; r<=kernel_radius; ++r)
for( int c=-kernel_radius; c<=kernel_radius; ++c) {
float weight = expf( -(c*c+r*r) * reciprocal_two_sigma_squared);
int idx = (r+kernel_radius)*width + c+kernel_radius;
ret[idx] = weight;
sum += weight;
}
// normalize
sum = 1.0f/sum;
for( int i=0; i<width*width; ++i)
ret[i] *= sum;
return ret;
}
///////////////////////////////////////////////////////////////////////////////
// TEST FUNCTIONS
/**
*/
__host__
void test_convolution_17x17x3_kernel( int rows,
int cols,
const float* m,
float* o,
float sigma) {
#define RADIUS_ 8
#define WIDTH_ (RADIUS_ + RADIUS_ + 1)
#define CHANNELS_ 3
float* d_m, *d_o, *kernel, *d_kernel;
int m_size = rows*cols*CHANNELS_*sizeof(float);
int k_size = WIDTH_*WIDTH_*sizeof(float);
kernel = prepare_gaussian_kernel( RADIUS_, sigma);
// incorp texture memory //
cudaMalloc( (void**) &d_m, m_size);
cudaMemcpy( d_m, m, m_size, cudaMemcpyHostToDevice);
cudaMalloc( (void**) &d_kernel, k_size);
cudaMemcpy( d_kernel, kernel, k_size, cudaMemcpyHostToDevice);
cudaMalloc( (void**)&d_o, m_size);
const dim3 dimBlock( WIDTH_, WIDTH_, CHANNELS_);
const dim3 dimGrid( (cols-1)/WIDTH_+1, (rows-1)/WIDTH_+1);
convolve_kernel<RADIUS_,CHANNELS_><<<dimGrid, dimBlock>>>(
d_m,
d_o,
rows,
cols,
d_kernel);
cudaMemcpy( o, d_o, m_size, cudaMemcpyDeviceToHost);
cudaFree(d_kernel);
cudaFree(d_m);
cudaFree(d_o);
#undef RADIUS_
#undef WIDTH_
#undef CHANNELS_
} |
4,414 | #include "cuda_runtime.h"
#include "device_launch_parameters.h"
#include <stdio.h>
#include <stdio.h>
#define M 16 //row
#define N 16
#define THREAD_PER_BLOCK_X 2;
#define THREAD_PER_BLOCK_Y 2;
__global__ void transposeMatrix(int *a, int *c)
{
int row = blockIdx.x * blockDim.x + threadIdx.x;
int column = blockIdx.y * blockDim.y + threadIdx.y;
int index = row * M + column;
int indexT = column * N + row;
c[indexT] = a[index];
}
int main()
{
int a[M][N], c[N][M];
int *d_a, *d_c;
int size = sizeof(int) * N * M;
cudaMalloc((void **)&d_a, size);
cudaMalloc((void **)&d_c, size);
//init matrix
int i, j;
for (i = 0; i < M; i++) {
for (j = 0; j < N; j++) {
a[i][j] = i;
printf("%d ", a[i][j]);
}
printf("\n");
}
printf("*********\n");
cudaMemcpy(d_a, a, size, cudaMemcpyHostToDevice);
dim3 grid, block;
grid.x = M / THREAD_PER_BLOCK_X;
grid.y = N / THREAD_PER_BLOCK_Y;
block.x = THREAD_PER_BLOCK_X;
block.y = THREAD_PER_BLOCK_Y;
transposeMatrix<<<grid, block>>>(d_a, d_c);
cudaDeviceSynchronize(); //is it necessary?
cudaMemcpy(c, d_c, size, cudaMemcpyDeviceToHost);
//print result
int m, n;
for (m = 0; m < M; m++) {
for (n = 0; n < N; n++) {
printf("%d ", c[m][n]);
}
printf("\n");
}
cudaFree(d_a);
cudaFree(d_c);
return 0;
} |
4,415 | #include <stdio.h>
#define SIZE 1024
__global__ void VectorAdd(int *a, int *b, int *c, int n)
{
int i = threadIdx.x;
if (i < n)
c[i] = a[i] + b[i];
}
int *a, *b, *c;
int main()
{
// init
a = (int *)malloc(SIZE * sizeof(int));
b = (int *)malloc(SIZE * sizeof(int));
c = (int *)malloc(SIZE * sizeof(int));
for (int i = 0; i < SIZE; ++i)
{
a[i] = i;
b[i] = i;
c[i] = 0;
}
// cuda init
int *ad, *bd, *cd;
int size = SIZE * sizeof(int);
cudaMalloc(&ad, size);
cudaMemcpy(ad, a, size, cudaMemcpyHostToDevice);
cudaMalloc(&bd, size);
cudaMemcpy(bd, b, size, cudaMemcpyHostToDevice);
cudaMalloc(&cd, size);
// cuda execute
int dimGrid = 1;
int dimBlock = SIZE;
VectorAdd <<<dimGrid, dimBlock>>> (ad, bd, cd, SIZE);
cudaDeviceSynchronize();
// cuda result
cudaMemcpy(c, cd, size, cudaMemcpyDeviceToHost);
for (int i = 0; i < 10; ++i)
printf("c[%d] = %d\n", i, c[i]);
// cuda free
cudaFree(ad);
cudaFree(bd);
cudaFree(cd);
return 0;
}
|
4,416 | extern "C" __global__
void hitsearch_float64(const int n, const double* spectrum, const double threshold, const double drift_rate,
double* maxsnr, double* maxdrift, unsigned int* tot_hits, const float median, const float stddev) {
int index = blockIdx.x * blockDim.x + threadIdx.x;
int stride = blockDim.x * gridDim.x;
int count = 0;
for (int i = index; i < n; i += stride) {
const double bin = (spectrum[i] - median) / stddev;
if (bin > threshold) {
count++;
if (bin > maxsnr[i]) {
maxsnr[i] = bin;
maxdrift[i] = drift_rate;
}
}
}
atomicAdd(&tot_hits[0], count);
}
extern "C" __global__
void hitsearch_float32(const int n, const float* spectrum, const double threshold, const double drift_rate,
float* maxsnr, float* maxdrift, unsigned int* tot_hits, const float median, const float stddev) {
int index = blockIdx.x * blockDim.x + threadIdx.x;
int stride = blockDim.x * gridDim.x;
int count = 0;
for (int i = index; i < n; i += stride) {
const double bin = (spectrum[i] - median) / stddev;
if (bin > threshold) {
count++;
if (bin > maxsnr[i]) {
maxsnr[i] = bin;
maxdrift[i] = drift_rate;
}
}
}
atomicAdd(&tot_hits[0], count);
}
|
4,417 | // centroid: [ 92.6200991 -157.6624484 -666.61104378]
// scale: [1.38349843 0.99729681 2.00067234
inline __host__ __device__ float3 operator-(float3 a, float3 b)
{
return make_float3(a.x - b.x, a.y - b.y, a.z - b.z);
}
inline __host__ __device__ float3 cross(float3 a, float3 b)
{
return make_float3(a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x);
}
inline __host__ __device__ float dot(float3 a, float3 b)
{
return a.x * b.x + a.y * b.y + a.z * b.z;
}
inline __host__ __device__ float dot2(float3 a)
{
return dot(a,a);
}
inline __device__ __host__ float clamp(float f, float a, float b)
{
return fmaxf(a, fminf(f, b));
}
inline __host__ __device__ float3 operator*(float3 a, float b)
{
return make_float3(a.x * b, a.y * b, a.z * b);
}
inline __host__ __device__ float sign(float x)
{
float t = x > 0.0;
return t - (x < 0.0);
}
// inigo quilez: https://www.iquilezles.org/www/articles/triangledistance/triangledistance.htm
__device__
float distance( float3 v1, float3 v2, float3 v3, float3 p )
{
// prepare data
float3 v21 = v2 - v1; float3 p1 = p - v1;
float3 v32 = v3 - v2; float3 p2 = p - v2;
float3 v13 = v1 - v3; float3 p3 = p - v3;
float3 nor = cross( v21, v13 );
float dist = sqrt( // inside/outside test
( sign(dot(cross(v21,nor),p1))
+ sign(dot(cross(v32,nor),p2))
+ sign(dot(cross(v13,nor),p3))<2.0)
?
// 3 edges
min( min(
dot2(v21*clamp(dot(v21,p1)/dot2(v21),0.0,1.0)-p1),
dot2(v32*clamp(dot(v32,p2)/dot2(v32),0.0,1.0)-p2) ),
dot2(v13*clamp(dot(v13,p3)/dot2(v13),0.0,1.0)-p3) )
:
// 1 face
dot(nor,p1)*dot(nor,p1)/dot2(nor) );
// which side of the triangle?
return sign(dot(nor, p1)) * dist;
}
__global__ void mesh2sdf(float *sdf, int w, int h, int d, float *V, int *F, int nFaces)
{
const uint y = (blockIdx.y * blockDim.y) + threadIdx.y;
const uint z = (blockIdx.z * blockDim.z) + threadIdx.z;
// TODO is this right? (most definitely not)
if(y >= h || z >= d) {
return;
}
// todo pass in scale dont hardcode
const float pt_y = (y - h / 2.0) * 0.99729681 * 64.0 / (float) h;
const float pt_z = (z - d / 2.0) * 2.00067234 * 64.0 / (float) d;
for(uint x=0; x<w; x++) {
const int idx = x + w * (y + d * z);
float currDist = sdf[idx];
const float pt_x = (x - w / 2.0) * 1.38349843 * 64.0 / (float) w;
float3 pt = make_float3(pt_x, pt_y, pt_z);
for(int f=0; f<nFaces; f++) {
float3 v1 = make_float3(V[3*F[3*f+0]+0], V[3*F[3*f+0]+1], V[3*F[3*f+0]+2]);
float3 v2 = make_float3(V[3*F[3*f+1]+0], V[3*F[3*f+1]+1], V[3*F[3*f+1]+2]);
float3 v3 = make_float3(V[3*F[3*f+2]+0], V[3*F[3*f+2]+1], V[3*F[3*f+2]+2]);
const float dist = distance(v1, v2, v3, pt);
if(abs(dist) < abs(currDist)) {
currDist = dist;
}
}
sdf[idx] = currDist;
}
} |
4,418 | #include <stdio.h>
__global__ void kernel(double *a, int n, double k) {
int idx = threadIdx.x + blockIdx.x * blockDim.x;
int idy = threadIdx.y + blockIdx.y * blockDim.y;
int offsetx = blockDim.x * gridDim.x;
int offsety = blockDim.y * gridDim.y;
int i, j;
for(i = idx; i < n; i += offsetx)
for(j = idy; j < n; j += offsety)
a[j * n + i] *= k;
}
int main() {
int i, n = 1024;
double *a = (double*)malloc(sizeof(double) * n * n);
for(i = 0; i < n * n; i++)
a[i] = i;
double *dev_a;
cudaMalloc(&dev_a, sizeof(double) * n * n);
cudaMemcpy(dev_a, a, sizeof(double) * n * n, cudaMemcpyHostToDevice);
kernel<<<dim3(16, 16), dim3(32, 8)>>>(dev_a, n, 2.3);
kernel<<<dim3(16, 16), dim3(32, 8)>>>(dev_a, n, 2.3);
cudaMemcpy(a, dev_a, sizeof(double) * n * n, cudaMemcpyDeviceToHost);
// a...
// for(i = 0; i < n * n; i++)
// printf("%f ", a[i]);
// printf("\n");
cudaFree(dev_a);
free(a);
return 0;
}
|
4,419 | // Add with a single thread on the GPU
#include <stdio.h>
__global__ void add(int a, int b, int *c) {
*c = a + b;
}
int main() {
int c; // host copies
int *dev_c; // device copies
int size = sizeof(int);
// Allocate space on device
cudaMalloc((void **) &dev_c, size);
// Launch add() on GPU
add<<<1,1>>>(8, 2, dev_c);
// Copy result to host
cudaMemcpy( &c, dev_c, sizeof(int), cudaMemcpyDeviceToHost);
printf("%d\n", c);
// Cleanup
cudaFree(dev_c);
return 0;
}
|
4,420 | extern "C"
__global__ void
getIndex(int *out, int N)
{
int myblock = blockIdx.x + blockIdx.y * gridDim.x;
int blocksize = blockDim.x * blockDim.y * blockDim.z;
int subthread = threadIdx.z*(blockDim.x * blockDim.y) + threadIdx.y*blockDim.x + threadIdx.x;
int idx = myblock * blocksize + subthread;
if(idx < N) {
out[idx] = idx;
}
}
|
4,421 | #include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <assert.h>
#include <unistd.h>
#include <sys/time.h>
/* Problem size. */
#define NX 4096
#define NY 4096
#ifndef M_PI
#define M_PI 3.14159
#endif
const unsigned int THREADS_PER_BLOCK = 64;
void init_array(double *x, double *A)
{
int i, j;
for (i = 0; i < NX; i++) {
for (j = 0; j < NY; j++) {
A[i*NY + j] = ((double) i*(j)) / NX;
}
}
for (i = 0; i < NY; i++) {
x[i] = i * M_PI;
}
}
__global__ void trans_norm_vector(double* A, double* x, double* y, int transpose)
{
if(transpose == 0){
int i = threadIdx.y + blockDim.y * blockIdx.y;
y[i] = 0;
double tmp = 0;
for (int j = 0; j < NY; j++)
tmp = tmp + A[i*NY + j] * x[j];
y[i] = tmp;
}else{
int j = threadIdx.y + blockDim.y * blockIdx.y;
y[j] = 0;
double tmp = 0;
for (int i = 0; i < NX; i++)
tmp = tmp + A[j + i*NY] * x[i];
y[j] = tmp;
}
}
int main(int argc, char *argv[])
{
double *A;
double *x;
double *y;
double *tmp;
struct timeval gpu_start, gpu_end;
A = (double*)malloc(NX*NY*sizeof(double));
x = (double*)malloc(NY*sizeof(double));
y = (double*)malloc(NY*sizeof(double));
tmp = (double*)malloc(NX*sizeof(double));
init_array(x, A);
double *A_d;
double *x_d;
double *y_d;
double *tmp_d;
cudaMalloc((void**)&A_d, NX*NY*sizeof(double));
cudaMalloc((void**)&x_d, NY*sizeof(double));
cudaMalloc((void**)&y_d, NY*sizeof(double));
cudaMalloc((void**)&tmp_d, NX*sizeof(double));
gettimeofday(&gpu_start, NULL);
cudaMemcpy(A_d, A, NX*NY*sizeof(double), cudaMemcpyHostToDevice);
cudaMemcpy(x_d, x, NY*sizeof(double), cudaMemcpyHostToDevice);
const unsigned int numBlocksInCol= ceil((double)NX/THREADS_PER_BLOCK);
const unsigned int numBlocksInRow= ceil((double)NY/THREADS_PER_BLOCK);
dim3 gridDim(1, numBlocksInCol, 1), blockDim(1, THREADS_PER_BLOCK, 1);
dim3 gridDimT(1, numBlocksInRow, 1);
trans_norm_vector <<< gridDim, blockDim >>>(A_d, x_d, tmp_d, 0);
trans_norm_vector <<< gridDimT, blockDim >>>(A_d, tmp_d, y_d, 1);
cudaDeviceSynchronize();
cudaMemcpy(y, y_d , sizeof(double)*NY, cudaMemcpyDeviceToHost);
gettimeofday(&gpu_end, NULL);
fprintf(stdout, "GPU Runtime :%0.6lfs\n", ((gpu_end.tv_sec - gpu_start.tv_sec) * 1000000.0 + (gpu_end.tv_usec - gpu_start.tv_usec)) / 1000000.0);
//Write results to file
if(argc == 2)
if(strcmp(argv[1],"-w") == 0){
FILE *fp = fopen ("datasetA.txt","w");
if (fp == NULL)
printf ("File not created.\n");
fwrite(A,sizeof(double),NX*NY,fp) ;
fclose(fp);
FILE *fp1 = fopen ("datasetx.txt","w");
fwrite(x,sizeof(double),NY,fp1) ;
fclose(fp1);
FILE *fp2 = fopen ("datasety.txt","w");
fwrite(y,sizeof(double),NY,fp2) ;
fclose(fp2);
}
free(A);
free(x);
free(y);
free(tmp);
cudaFree(A_d);
cudaFree(x_d);
cudaFree(y_d);
cudaFree(tmp_d);
return 0;
}
|
4,422 | //optimization homework #4 cs 677 Theodore Jagodits
#include <stdio.h>
#include <stdlib.h>
#include "string.h"
#include <iostream>
#define DEFAULT_SIZE 128
#define TILE_SIZE 16
__global__ void unknown_algo(float *inp1, float *inp2, float *result, int size){
// make shared
int id = blockIdx.x * blockDim.x + threadIdx.x;
float temp = 0.0f;
for(int j = 0; j < size; j++){
temp += inp2[id * size + j];
result[id * size + j] = temp;
for(int k = 0; k < size; k++){
//shared input 1 here
result[id * size + j] += inp1[j] * inp1[k];
}
}
}
int main( int argc, char **argv ){
int size = DEFAULT_SIZE;
if(argc == 2){
size = atoi(argv[1]);
}
//create vars
int input1_bytes = size * sizeof(float);
int num_bytes = size * size * sizeof(float);
//event timers
cudaEvent_t start,stop;
cudaEventCreate(&start);
cudaEventCreate(&stop);
//malloc device
float *d_input1 = (float *) malloc(input1_bytes);
float *d_input2 = (float *) malloc(num_bytes);
float *d_result = (float *) malloc(num_bytes);
//malloc host
float *h_input1 = (float *) malloc(input1_bytes);
float *h_input2 = (float *) malloc(num_bytes);
float *h_result = (float *) malloc(num_bytes);
//cuda malloc
cudaMalloc(&d_input1, input1_bytes);
cudaMalloc(&d_input2, num_bytes);
cudaMalloc(&d_result, num_bytes);
//put in data
for(int o = 0; o < size; o++){
h_input1[o] = 1;
for(int p = 0; p < size; p++){
h_input2[size * o + p] = 1;
}
}
//copy over memory
cudaMemcpy(d_input1, h_input1, input1_bytes, cudaMemcpyHostToDevice);
cudaMemcpy(d_input2, h_input2, num_bytes, cudaMemcpyHostToDevice);
//declare block and grid size for kernel
int block_size = 128;
int grid_size = (int)ceil((float)size/block_size);
//start timer
cudaEventRecord(start);
//run kernel
unknown_algo<<< grid_size, block_size >>> (d_input1, d_input2, d_result, size);
//end timer
cudaEventRecord(stop);
// Copy result back to host
cudaMemcpy(h_result, d_result, num_bytes, cudaMemcpyDeviceToHost);
//synchronize https://devblogs.nvidia.com/how-implement-performance-metrics-cuda-cc/
cudaEventSynchronize(stop);
float milliseconds = 0;
cudaEventElapsedTime(&milliseconds, start, stop);
//print output
for(int o = 0; o < size; o++){
for(int p = 0; p < size; p++){
printf("%d ", (int)h_result[o*size + p]);
}
printf("\n");
}
printf("time for execution: %lf ms\n", milliseconds);
//free all vars
//free(d_input1);
//free(d_input2);
//free(d_result);
free(h_input1);
free(h_input2);
free(h_result);
cudaFree(d_input1);
cudaFree(d_input2);
cudaFree(d_result);
return 0;
} |
4,423 | #include "includes.h"
__global__ void stencil_1d(int *in, int *out){
__shared__ int temp[BLOCK_SIZE + 2 * RADIUS];
int gindex = threadIdx.x + blockIdx.x * blockDim.x;
int lindex = threadIdx.x + RADIUS;
// Debugging----------------------
//int *debug_sample = (int *)malloc(3*sizeof(int));
// Read input elements into shared memory
temp[lindex] = in[gindex + RADIUS]; // center
if (threadIdx.x < RADIUS) {
temp[threadIdx.x] = in[gindex]; // left
temp[lindex + BLOCK_SIZE] = in[gindex + RADIUS + BLOCK_SIZE]; // right
}
__syncthreads();
// Apply the stencil
int result = 0;
for (int offset = -RADIUS ; offset <= RADIUS ; offset++){
result += temp[lindex + offset];
//debug_sample[lindex + offset] = temp[lindex + offset];
}
//Debugging ---------------------
/*printf("Block %d, Thread %d"
" [%d, %d, %d]\n",blockIdx.x,threadIdx.x,
debug_sample[0],debug_sample[1],debug_sample[2]); */
// Store the result
out[gindex] = result;
} |
4,424 | #include "includes.h"
__global__ void Subsample_Bilinear_uchar4(cudaTextureObject_t uchar4_tex, uchar4 *dst, int dst_width, int dst_height, int dst_pitch, int src_width, int src_height)
{
int xo = blockIdx.x * blockDim.x + threadIdx.x;
int yo = blockIdx.y * blockDim.y + threadIdx.y;
if (yo < dst_height && xo < dst_width)
{
float hscale = (float)src_width / (float)dst_width;
float vscale = (float)src_height / (float)dst_height;
float xi = (xo + 0.5f) * hscale;
float yi = (yo + 0.5f) * vscale;
// 3-tap filter weights are {wh,1.0,wh} and {wv,1.0,wv}
float wh = min(max(0.5f * (hscale - 1.0f), 0.0f), 1.0f);
float wv = min(max(0.5f * (vscale - 1.0f), 0.0f), 1.0f);
// Convert weights to two bilinear weights -> {wh,1.0,wh} -> {wh,0.5,0} + {0,0.5,wh}
float dx = wh / (0.5f + wh);
float dy = wv / (0.5f + wv);
uchar4 c0 = tex2D<uchar4>(uchar4_tex, xi-dx, yi-dy);
uchar4 c1 = tex2D<uchar4>(uchar4_tex, xi+dx, yi-dy);
uchar4 c2 = tex2D<uchar4>(uchar4_tex, xi-dx, yi+dy);
uchar4 c3 = tex2D<uchar4>(uchar4_tex, xi+dx, yi+dy);
int4 res;
res.x = ((int)c0.x+(int)c1.x+(int)c2.x+(int)c3.x+2) >> 2;
res.y = ((int)c0.y+(int)c1.y+(int)c2.y+(int)c3.y+2) >> 2;
res.z = ((int)c0.z+(int)c1.z+(int)c2.z+(int)c3.z+2) >> 2;
res.w = ((int)c0.w+(int)c1.w+(int)c2.w+(int)c3.w+2) >> 2;
dst[yo*dst_pitch+xo] = make_uchar4(
(unsigned char)res.x, (unsigned char)res.y, (unsigned char)res.z, (unsigned char)res.w);
}
} |
4,425 | /**********************************************************************
* DESCRIPTION:
* Serial Concurrent Wave Equation - C Version
* This program implements the concurrent wave equation
*********************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>
#define MAXPOINTS 1000000
#define MAXSTEPS 1000000
#define MINPOINTS 20
#define PI 3.14159265
void check_param(void);
void init_line(void);
void update (void);
void printfinal (void);
int nsteps, /* number of time steps */
tpoints, /* total points along string */
rcode; /* generic return code */
float values[MAXPOINTS+2], /* values at time t */
oldval[MAXPOINTS+2], /* values at time (t-dt) */
newval[MAXPOINTS+2]; /* values at time (t+dt) */
/**********************************************************************
* Checks input values from parameters
*********************************************************************/
void check_param(void)
{
char tchar[20];
/* check number of points, number of iterations */
while ((tpoints < MINPOINTS) || (tpoints > MAXPOINTS)) {
printf("Enter number of points along vibrating string [%d-%d]: "
,MINPOINTS, MAXPOINTS);
scanf("%s", tchar);
tpoints = atoi(tchar);
if ((tpoints < MINPOINTS) || (tpoints > MAXPOINTS))
printf("Invalid. Please enter value between %d and %d\n",
MINPOINTS, MAXPOINTS);
}
while ((nsteps < 1) || (nsteps > MAXSTEPS)) {
printf("Enter number of time steps [1-%d]: ", MAXSTEPS);
scanf("%s", tchar);
nsteps = atoi(tchar);
if ((nsteps < 1) || (nsteps > MAXSTEPS))
printf("Invalid. Please enter value between 1 and %d\n", MAXSTEPS);
}
printf("Using points = %d, steps = %d\n", tpoints, nsteps);
}
/**********************************************************************
* Initialize points on line
*********************************************************************/
void init_line(void)
{
int i, j;
float x, fac, k, tmp;
/* Calculate initial values based on sine curve */
fac = 2.0 * PI;
k = 0.0;
tmp = tpoints - 1;
for (j = 1; j <= tpoints; j++) {
x = k/tmp;
values[j] = sin (fac * x);
k = k + 1.0;
}
/* Initialize old values array */
for (i = 1; i <= tpoints; i++)
oldval[i] = values[i];
}
/**********************************************************************
* Calculate new values using wave equation
*********************************************************************/
void do_math(int i)
{
float dtime, c, dx, tau, sqtau;
dtime = 0.3;
c = 1.0;
dx = 1.0;
tau = (c * dtime / dx);
sqtau = tau * tau;
newval[i] = (2.0 * values[i]) - oldval[i] + (sqtau * (-2.0)*values[i]);
}
/**********************************************************************
* Update all values along line a specified number of times
*********************************************************************/
__device__ inline unsigned global_thread_id() {
/* Get global thread idx */
return blockIdx.x * blockDim.x + threadIdx.x;
}
__global__ void update_parallel(float *t_values, int nsteps, int tpoints) {
float l_value, lo_value, ln_value;
unsigned idx = global_thread_id();
/* Initailize */
lo_value = l_value = sin((2.0 * PI) * ((float)idx / (float)(tpoints - 1)));
for (int i = 0; i < nsteps; ++i) {
/* Calculate Math */
ln_value = 1.82 * l_value - lo_value;
lo_value = l_value;
l_value = ln_value;
}
if (idx == 0 || idx == tpoints - 1) {
t_values[idx] = 0;
} else if (idx < tpoints - 1 && idx > 0) {
t_values[idx] = l_value;
}
}
void update()
{
int i, j;
/* Update values for each time step */
for (i = 1; i<= nsteps; i++) {
/* Update points along line for this time step */
for (j = 1; j <= tpoints; j++) {
/* global endpoints */
if ((j == 1) || (j == tpoints))
newval[j] = 0.0;
else
do_math(j);
}
/* Update old values with new values */
for (j = 1; j <= tpoints; j++) {
oldval[j] = values[j];
values[j] = newval[j];
}
}
}
/**********************************************************************
* Print final results
*********************************************************************/
void printfinal()
{
int i;
for (i = 0; i < tpoints; i++) {
printf("%6.4f ", values[i]);
if (i % 10 == 9)
printf("\n");
}
}
/**********************************************************************
* Main program
*********************************************************************/
int main(int argc, char *argv[])
{
sscanf(argv[1],"%d",&tpoints);
sscanf(argv[2],"%d",&nsteps);
check_param();
float *t_values;
cudaMalloc(&t_values, sizeof(values));
printf("Initializing points on the line...\n");
//init_line();
printf("Updating all points for all time steps...\n");
//update();
update_parallel<<<((tpoints + 1023) >> 10), 1024>>>(t_values, nsteps, tpoints);
cudaMemcpy(values, t_values, sizeof(values), cudaMemcpyDeviceToHost);
printf("Printing final results...\n");
printfinal();
printf("\nDone.\n\n");
return 0;
}
|
4,426 | #include <iostream>
#include <fstream>
#include <vector>
#include "vertex.cuh"
int main()
{
std::ifstream vertsFile("verts.bin", std::ios::binary | std::ios::in | std::ios::ate);
char* rawBytes = nullptr;
if (vertsFile.is_open())
{
auto end = vertsFile.tellg();
rawBytes = new char[end];
vertsFile.seekg(0, std::ios::beg);
vertsFile.read(rawBytes, end);
vertsFile.close();
std::cout << "Length: " << end << std::endl;
} else
{
std::cerr << "Cannot open verts file." << std::endl;
return -1;
}
auto numVerts = *reinterpret_cast<unsigned int*>(rawBytes);
std::cout << "Number of vertices: " << numVerts << "\n";
auto floatsPtr = reinterpret_cast<float*>(rawBytes + sizeof(unsigned int));
std::vector<vertex> vertices;
for (int i = 0; i < numVerts; ++i)
{
vertices.emplace_back(floatsPtr[i*3], floatsPtr[i*3 + 1], floatsPtr[i*3 + 2], 1.0f);
}
for (auto vert : vertices)
{
std::cout << vert;
}
return 0;
} |
4,427 | #include <stdio.h>
#include <stdlib.h>
#define NUM 1048576
#define NUM_THREADS 512
#define NUM_BLOCKS 2048
/* Function to sort threads in each block using merge sort */
__global__ void sort_blocks(int *a)
{
int i=2;
__shared__ int temp [NUM_THREADS];
while (i <= NUM_THREADS)
{
if ((threadIdx.x % i)==0)
{
int begin1 = threadIdx.x + (blockIdx.x * blockDim.x);
int end1 = begin1 + i/2;
int begin2 = end1;
int end2 = begin2 + i/2;
int target = threadIdx.x;
do
{
if ((begin1 == end1) && (begin2 < end2))
temp[target++] = a[begin2++];
else if ((begin2 == end2) && (begin1 < end1))
temp[target++] = a[begin1++];
else if (a[begin1] < a[begin2])
temp[target++] = a[begin1++];
else
temp[target++] = a[begin2++];
}
while ((begin1!=end1) && (begin2!=end2));
}
__syncthreads();
a[threadIdx.x + (blockIdx.x*blockDim.x)] = temp[threadIdx.x];
__syncthreads();
i *= 2;
}
}
/* Function to merge the sorted blocks using merge sort */
__global__ void merge_blocks(int *a, int *temp, int sortedsize)
{
int id = blockIdx.x;
int begin1 = id * 2 * sortedsize;
int end1 = begin1 + sortedsize;
int begin2 = end1;
int end2 = begin2 + sortedsize;
int target = id * 2 * sortedsize;
do
{
if ((begin1 == end1) && (begin2 < end2))
temp[target++] = a[begin2++];
else if ((begin2 == end2) && (begin1 < end1))
temp[target++] = a[begin1++];
else if (a[begin1] < a[begin2])
temp[target++] = a[begin1++];
else
temp[target++] = a[begin2++];
}
while ((begin1!=end1) && (begin2!=end2));
}
int main()
{
int *a = (int *) malloc (NUM * sizeof (int));
int *dev_a, *dev_temp;
cudaMalloc((void **) &dev_a, NUM*sizeof(int));
cudaMalloc((void **) &dev_temp, NUM*sizeof(int));
for (int i = 0; i < NUM; i++)
{
a[i] = rand () % 10000;
}
/* timing */
cudaEvent_t start, stop;
float time;
cudaEventCreate(&start);
cudaEventCreate(&stop);
cudaEventRecord(start, 0);
/* timing */
cudaMemcpy(dev_a, a, NUM*sizeof(int), cudaMemcpyHostToDevice);
/* Sort the elements corresponding to the threads in each block */
sort_blocks<<<NUM_BLOCKS, NUM_THREADS>>>(dev_a);
cudaMemcpy(a, dev_a, NUM*sizeof(int), cudaMemcpyDeviceToHost);
/* Merge the sorted blocks */
int blocks = NUM_BLOCKS/2;
int sortedsize = NUM_THREADS;
while (blocks > 0)
{
merge_blocks<<<blocks, 1>>>(dev_a, dev_temp, sortedsize);
cudaMemcpy (dev_a, dev_temp, NUM*sizeof(int), cudaMemcpyDeviceToDevice);
blocks /= 2;
sortedsize *= 2;
}
cudaMemcpy(a, dev_a, NUM*sizeof(int), cudaMemcpyDeviceToHost);
/* timing */
cudaEventRecord (stop, 0);
cudaEventSynchronize (stop);
cudaEventElapsedTime (&time, start, stop);
cudaEventDestroy (start);
cudaEventDestroy (stop);
/* timing */
bool passed = true;
for(int i = 1; i < NUM; i++)
{
if (a [i-1] > a [i])
passed = false;
}
printf("\nTest %s\n", passed ? "PASSED" : "FAILED");
printf("Time : %f\n", time);
cudaThreadExit();
return 0;
}
|
4,428 | #include <stdio.h>
#include <stdlib.h>
__global__ void add(int *d_a, int *d_b, int *d_c){
int index = threadIdx.x + blockIdx.x * blockDim.x;
d_c[index] = d_a[index] + d_b[index];
}
int main(int argc, char ** argv){
int N = 12;
int size = N * sizeof(int);
int a[N], b[N], c[N];
int *d_a, *d_b, *d_c;
//Alloc space for device
cudaMalloc((void **) &d_a, size);
cudaMalloc((void **) &d_b, size);
cudaMalloc((void **) &d_c, size);
for (int i = 0; i< N; i++){
a[i] = i;
b[i] = 2*i;
}
cudaMemcpy(d_a, a, size, cudaMemcpyHostToDevice);
cudaMemcpy(d_b, b, size, cudaMemcpyHostToDevice);
add<<<N,1>>>(d_a, d_b, d_c);
cudaMemcpy(c, d_c, size, cudaMemcpyDeviceToHost);
for(int i = 0; i < N; i++){
printf("%i", c[i]);
printf("\n");
}
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_c);
return 0;
} |
4,429 | __global__ void
exemple(void){
int identifiant_local = threadIdx.x;
int identifiant_global = blockIdx.x * blockDim.x + threadIdx.x;
}
int
main(){
exemple<<<512,512>>>();
return 0;
}
|
4,430 | #include "includes.h"
__global__ void rotatewin(float* aframe2, float *aframe, float *win, int N, int offset){
int k = threadIdx.x + blockIdx.x*blockDim.x;
aframe2[(k+offset)%N] = win[k]*aframe[k];
} |
4,431 | #include "includes.h"
__global__ void fillarray_kernel(float *x, float v, int np) {
int ii = threadIdx.x + blockIdx.x * BLOCKSIZE;
while (ii < np) {
x[ii] = v;
ii += BLOCKSIZE * gridDim.x; //grid strides
}
} |
4,432 | #include <thrust/host_vector.h>
#include <thrust/device_vector.h>
#include <thrust/copy.h>
#include <thrust/fill.h>
#include <thrust/sequence.h>
#include <thrust/partition.h>
#include <iostream>
#include <math.h>
#include <thrust/generate.h>
__device__
int getGlobalIdx(){
int numInRow = blockDim.x * gridDim.x;
int numInBlock = blockDim.x * blockDim.y;
return blockIdx.y * numInRow + blockIdx.x * numInBlock + threadIdx.y * blockDim.x + threadIdx.x;
// return blockIdx.x * blockDim.x * blockDim.y
// + threadIdx.y * blockDim.x + threadIdx.x;
}
__host__ static __inline__ float rand_01()
{
return ((float)rand()/RAND_MAX);
}
__global__
void test() {
int idx = getGlobalIdx();
int x = threadIdx.x; // blockIdx.x * blockDim.x + threadIdx.x;
int y = threadIdx.y; // blockIdx.y * blockDim.y + threadIdx.y;
// if (x == 0 && y == 0) {
// printf("%d, %d\n", blockIdx.x, blockIdx.y);
// }
int bigX = blockIdx.x * blockDim.x + threadIdx.x;
int bigY = blockIdx.y * blockDim.y + threadIdx.y;
if (bigX == 0) {
printf("%d\n", bigY);
}
return;
// printf("%d: (%d, %d)\n", idx, x , y);
}
int main(){
dim3 lolblock(32, 32);
dim3 lolgrid(ceil(400.0 / 32.0), ceil(900.0 / 32.0));
test<<<lolgrid, lolblock>>>();
cudaDeviceSynchronize();
return 0;
}
|
4,433 | /*
* dist.cu
*/
#include <math.h>
#include <stdlib.h>
// arithmetic modulus
__device__ double
arithmeticfmod(double x, double d)
{
double angle = fmod(x, d) ;
if (angle < 0) {
angle += d;
}
return angle;
}
// Euclidean distance
__device__ double
euclidean_distance(const double* v, const double* u, int size)
{
double result = 0;
double diff;
int i;
for (i=0;i<size;i++) {
diff = v[i] - u[i];
result += diff*diff;
}
return sqrt(result);
}
// Euclidean distance in S1 x S1 x ... x S1 (an n-Torus)
// points are equivalent mod 360
__device__ double
euclidean_distance_ntorus(const double* v, const double* u, int size)
{
double result = 0;
double diff;
int i;
for (i=0;i<size;i++) {
diff = v[i] - u[i];
diff = arithmeticfmod(diff, 360);
diff = fmin(fabs(diff), fabs(diff-360));
result += diff*diff;
}
return sqrt(result);
}
|
4,434 |
__global__
void kernel(int *a, int *b) {
if(threadIdx.x == 0) {
a[threadIdx.x] = 0;
}
a[threadIdx.x] = b[threadIdx.x];
a[threadIdx.x] = b[2*threadIdx.x];
if(threadIdx.x%2 == 0) {
a[threadIdx.x] = 0;
}
}
int main()
{
int a[10] = {2};
int b[10] = {1};
int *a_d;
int *b_d;
cudaMalloc( &a_d, sizeof(a) );
cudaMalloc( &b_d, sizeof(b) );
cudaMemcpy(a_d, a, sizeof(a), cudaMemcpyHostToDevice );
cudaMemcpy(b_d, b, sizeof(b), cudaMemcpyHostToDevice );
kernel<<<10,1>>>(a,b);
cudaMemcpy(a, a_d, sizeof(a), cudaMemcpyDeviceToHost );
cudaFree(a_d);
cudaFree(b_d);
}
|
4,435 | /**
* Author: Kapil Gupta <kpgupta98@gmail.com>
* Organization: XantheLabs
* Created: January 2017
*/
#pragma once
#ifndef HOUGH_PEAKS_H_
#define HOUGH_PEAKS_H_
#endif // HOUGH_PEAKS_H_
|
4,436 | #include "includes.h"
/* Kintsakis Athanasios AEM 6667 */
#define inf 9999
__global__ void funct(int n, int k, float* x, int* qx)
{
int ix= blockIdx.x*blockDim.x + threadIdx.x;
//Epeksigisi
/*
float temp2=x[i*n+k] + x[k*n+j];
omws
i=ix/n;
kai
j=ix%n = ix&(n-1)
i*n = ix/n * n = ix-ix%n= ix-j
*/
int j=ix&(n-1);
float temp2=x[ix-j+k]+x[k*n+j];
if(x[ix]>temp2)
{
x[ix]=temp2;
qx[ix]=k;
}
if(x[ix]==inf)
{
qx[ix]=-2;
}
} |
4,437 | #include <cuda_runtime.h>
#include <iostream>
#define WIDTH 15
#define TILE_WIDTH 5
void MatrixMulOnDevice(float *M, float *N, float *P, int Width);
__global__ void MatrixMulKernel(float *Md, float *Nd, float *Pd, int Width);
void PrintMatrix(float *X, int Width, char ch);
int main() {
float A[WIDTH * WIDTH];
float B[WIDTH * WIDTH];
float C[WIDTH * WIDTH];
for (int i = 0; i < WIDTH; ++i) {
for (int j = 0; j < WIDTH; ++j) {
A[i * WIDTH + j] = i * WIDTH + j;
B[i * WIDTH + j] = i * WIDTH + j;
}
}
MatrixMulOnDevice(A, B, C, WIDTH);
PrintMatrix(A, WIDTH, 'A');
PrintMatrix(B, WIDTH, 'B');
PrintMatrix(C, WIDTH, 'C');
}
void MatrixMulOnDevice(float *M, float *N, float *P, int Width) {
int size = Width * Width * sizeof(float);
float *Md, *Nd, *Pd;
cudaMalloc(&Md, size);
cudaMalloc(&Nd, size);
cudaMalloc(&Pd, size);
cudaMemcpy(Md, M, size, cudaMemcpyHostToDevice);
cudaMemcpy(Nd, N, size, cudaMemcpyHostToDevice);
dim3 dimGrid(Width / TILE_WIDTH, Width / TILE_WIDTH);
dim3 dimBlock(TILE_WIDTH, TILE_WIDTH);
MatrixMulKernel<<<dimGrid, dimBlock>>>(Md, Nd, Pd, Width);
cudaMemcpy(P, Pd, size, cudaMemcpyDeviceToHost);
cudaFree(Md);
cudaFree(Nd);
cudaFree(Pd);
}
__global__ void MatrixMulKernel(float *Md, float *Nd, float *Pd, int Width) {
__shared__ float Mds[TILE_WIDTH][TILE_WIDTH];
__shared__ float Nds[TILE_WIDTH][TILE_WIDTH];
int tx = threadIdx.x;
int ty = threadIdx.y;
int row = blockIdx.y * blockDim.y + ty;
int col = blockIdx.x * blockDim.x + tx;
float Pvalue = 0;
for (int m = 0; m < Width / TILE_WIDTH; ++m) {
Mds[ty][tx] = Md[row * Width + (m * TILE_WIDTH + tx)];
Nds[ty][tx] = Nd[col + (m * TILE_WIDTH + ty) * Width];
__syncthreads();
for (int k = 0; k < TILE_WIDTH; ++k) {
Pvalue += Mds[ty][k] * Nds[k][tx];
}
__syncthreads();
}
Pd[row * Width + col] = Pvalue;
}
void PrintMatrix(float *X, int Width, char ch) {
std::cout << ch << ":" << std::endl;
for (int i = 0; i < Width; ++i) {
for (int j = 0; j < Width; ++j) {
std::cout << X[i * Width + j] << " ";
}
std::cout << std::endl;
}
std::cout << std::endl;
}
|
4,438 | #include "LBM_GPU.cuh"
ifstream fin_GPU("in_GPU.txt");
ofstream fout_GPU("out_GPU.dat");
ofstream fout_GPU_Cd("out_GPU_Cd.dat");
ofstream fout_GPU_Ux0("out_GPU_Ux0.dat");
ofstream fout_GPU_Ux("out_GPU_Ux.dat");
LBM_GPU::LBM_GPU()
{
// ============================================================================ //
// LOAD THE PARAMETERS
// ============================================================================ //
fin_GPU >> nx; fin_GPU >> comment;
fin_GPU >> ny; fin_GPU >> comment;
fin_GPU >> Lx; fin_GPU >> comment;
fin_GPU >> Ly; fin_GPU >> comment;
fin_GPU >> a; fin_GPU >> comment;
fin_GPU >> rho1; fin_GPU >> comment;
fin_GPU >> BLOCK_SIZE_X; fin_GPU >> comment;
fin_GPU >> BLOCK_SIZE_Y; fin_GPU >> comment;
fin_GPU >> BLOCK_SIZE_Z; fin_GPU >> comment;
fin_GPU >> D; fin_GPU >> comment;
fin_GPU >> Um_p; fin_GPU >> comment;
fin_GPU >> tau; fin_GPU >> comment;
fin_GPU >> nu_p; fin_GPU >> comment;
// ============================================================================ //
// ============================================================================ //
// NEW & CUDAMALLOC
// ============================================================================ //
is_boundary_node = new int[nx*ny]; cudaMalloc((void**)&d_is_boundary_node, nx*ny * sizeof(int));
is_solid_node = new int[nx*ny]; cudaMalloc((void**)&d_is_solid_node, nx*ny * sizeof(int));
is_solid_near_node = new int[nx*ny];
U = new float[nx*ny]; cudaMalloc((void**)&d_U, nx*ny * sizeof(float));
Ux = new float[nx*ny]; cudaMalloc((void**)&d_Ux, nx*ny * sizeof(float));
Uy = new float[nx*ny]; cudaMalloc((void**)&d_Uy, nx*ny * sizeof(float));
rho = new float[nx*ny]; cudaMalloc((void**)&d_rho, nx*ny * sizeof(float));
UN = new float[nx*ny]; cudaMalloc((void**)&d_UN, nx*ny * sizeof(float));
UxN = new float[nx*ny]; cudaMalloc((void**)&d_UxN, nx*ny * sizeof(float));
UyN = new float[nx*ny]; cudaMalloc((void**)&d_UyN, nx*ny * sizeof(float));
rhoN = new float[nx*ny]; cudaMalloc((void**)&d_rhoN, nx*ny * sizeof(float));
f = new float[nx*ny*a]; cudaMalloc((void**)&d_f, nx*ny*a * sizeof(float));
ftemp = new float[nx*ny*a]; cudaMalloc((void**)&d_ftemp, nx*ny*a * sizeof(float));
fN = new float[nx*ny*a]; cudaMalloc((void**)&d_fN, nx*ny*a * sizeof(float));
feq = new float[nx*ny*a]; cudaMalloc((void**)&d_feq, nx*ny*a * sizeof(float));
ex = new float[a]; cudaMalloc((void**)&d_ex, a * sizeof(float));
ey = new float[a]; cudaMalloc((void**)&d_ey, a * sizeof(float));
U_p = new float[nx*ny];
Ux_p = new float[nx*ny];
Uy_p = new float[nx*ny];
P = new float[nx*ny];
Ux0_p = new float[ny];
Ux0 = new float[ny]; cudaMalloc((void**)&d_Ux0, ny * sizeof(float));
// ============================================================================ //
// ============================================================================ //
// MICROSCOPIC VELOCITY
// ============================================================================ //
ex[0] = 0.0, ey[0] = 0.0;
ex[1] = 1.0, ey[1] = 0.0;
ex[2] = 0.0, ey[2] = 1.0;
ex[3] = -1.0, ey[3] = 0.0;
ex[4] = 0.0, ey[4] = -1.0;
ex[5] = 1.0, ey[5] = 1.0;
ex[6] = -1.0, ey[6] = 1.0;
ex[7] = -1.0, ey[7] = -1.0;
ex[8] = 1.0, ey[8] = -1.0;
cudaMemcpy(d_ex, ex, a * sizeof(float), cudaMemcpyHostToDevice);
cudaMemcpy(d_ey, ey, a * sizeof(float), cudaMemcpyHostToDevice);
// ============================================================================ //
// ============================================================================ //
// SET BOUNDARY NODE
// ============================================================================ //
sIm = nx / Lx * 0.15;
sIM = nx / Lx * (0.15 + D) - 1;
sJm = ny / Ly * 0.15;
sJM = ny / Ly * (0.15 + D) - 1;
snx = (sIM - sIm) + 1;
sny = (sJM - sJm) + 1;
sn = 0;
ic = (float)sIm + ((float)sIM - (float)sIm) / 2;
jc = (float)sJm + ((float)sJM - (float)sJm) / 2;
r = ((float)sIM - (float)sIm) / 2;
cout << "sIm = " << sIm << endl;
cout << "sIM = " << sIM << endl;
cout << "sJm = " << sJm << endl;
cout << "sJM = " << sJM << endl;
cout << "snx = " << snx << endl;
cout << "sny = " << sny << endl;
cout << "ic = " << ic << endl;
cout << "jc = " << jc << endl;
cout << "r = " << r << endl;
//set boundary node
for (i = 0; i < nx; i++) {
for (j = 0; j < ny; j++) {
if (i == 0 || i == nx - 1 || j == 0 || j == ny - 1) is_boundary_node[i + nx*j] = 1;
else is_boundary_node[i + nx*j] = 0;
}
}
//Binary data
/*for (i = 0; i < nx; i++) {
for (j = ny - 1; j > -1; j--) {
if ((i >= sIm && i <= sIM) && (j >= sJm && j <= sJM)) fin_grid_GPU >> is_solid_node[i + nx*j];
else is_solid_node[i + nx*j] = 0;
if (is_solid_node[i + nx*j]) sn = sn + 1;
}
}*/
//set solid node
for (i = 0; i < nx; i++) {
for (j = 0; j < ny; j++) {
dist = sqrt(pow((float)i - ic, 2) + pow((float)j - jc, 2));
if (dist <= r) is_solid_node[i + nx*j] = 1;
else is_solid_node[i + nx*j] = 0;
if (is_solid_node[i + nx*j]) sn = sn + 1;
}
}
//set near solid node
for (i = 0; i < nx; i++) {
for (j = 0; j < ny; j++) {
is_solid_near_node[i + nx*j] = 0;
in = i - 1;
ip = i + 1;
jn = j - 1;
jp = j + 1;
if (!is_boundary_node[i + nx*j]) {
if (!is_solid_node[i + nx*j]) {
if (is_solid_node[ip + nx*j]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[i + nx*jp]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[in + nx*j]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[i + nx*jn]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[ip + nx*jp]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[in + nx*jp]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[in + nx*jn]) {
is_solid_near_node[i + nx*j] = 1;
}
else if (is_solid_node[ip + nx*jn]) {
is_solid_near_node[i + nx*j] = 1;
}
}
}
}
}
cudaMemcpy(d_is_boundary_node, is_boundary_node, nx*ny * sizeof(int), cudaMemcpyHostToDevice);
cudaMemcpy(d_is_solid_node, is_solid_node, nx*ny * sizeof(int), cudaMemcpyHostToDevice);
// ============================================================================ //
// ============================================================================ //
// SET PARAMETERS & INITIAL CONDITION
// ============================================================================ //
del_x = 1.0;
del_y = 1.0;
del_t = 1.0;
c = del_y / del_t;
c_s = (1.0 / sqrt(3.0))*c;
del_x_p = D / (float)snx;
del_y_p = D / (float)sny;
// del_t_p = pow(del_y_p, 2);
// del_t_p = 0.000013;
//Uniform
/*nu_p = 0.06 * (del_y_p / del_t_p) * D / Re;
nu = (del_t_p / pow(del_y_p, 2))*nu_p;
tau = (1.0 / pow(c_s, 2))*nu + (0.5*del_t);*/
//Input Reynolds number and del_t
//Um = Um_p * (del_t_p / del_y_p);
//nu_p = (2.0 / 3.0) * Um_p * D / Re;
//nu = (del_t_p / pow(del_y_p, 2))*nu_p;
//tau = (1.0 / pow(c_s, 2))*nu + (0.5*del_t);
//Input tau and kinematic viscosity
del_t_p = pow(c_s, 2)*(tau - 0.5)*pow(del_y_p, 2) / nu_p;
Re = (2.0 / 3.0) * Um_p * D / nu_p;
Um = Um_p * del_t_p / del_y_p;
nu = nu_p * del_t_p / pow(del_y_p, 2);
cout << endl;
cout << "// =================== Stability condition ================ //" << endl;
cout << "Check 1. [tau > 0.5]" << endl;
cout << "tau = " << tau << endl;
cout << "Check 2. Mach number condition [Ma = Uavg/c_s << 1]" << endl;
cout << "Ma = " << (2.0/3.0)*Um/c_s << endl;
cout << "Check 3. BGK Stability. [If tau < 0.55, tau > 0.5 + 0.125*Uavg]" << endl;
cout << "tau = " << tau << " > " << 0.5 + 0.125*(2.0 / 3.0)*Um << endl;
cout << "// ======================================================== //" << endl;
//intitalize variables
for (i = 0; i < nx; i++) {
for (j = 0; j < ny; j++) {
Ux[i + nx*j] = 0.0;
Uy[i + nx*j] = 0.0;
U[i + nx*j] = 0.0;
UxN[i + nx*j] = 0.0;
UyN[i + nx*j] = 0.0;
UN[i + nx*j] = 0.0;
P[i + nx*j] = 0.0;
for (k = 0; k < a; k++) {
ftemp[i + nx*j + nx*ny*k] = 0.0;
feq[i + nx*j + nx*ny*k] = 0.0;
fN[i + nx*j + nx*ny*k] = 0.0;
}
if (!is_solid_node[i + nx*j]) rho[i + nx*j] = 1.0;
else rho[i + nx*j] = 1.0;
f[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j];
f[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j];
}
}
cudaMemcpy(d_rho, rho, nx*ny * sizeof(float), cudaMemcpyHostToDevice);
cudaMemcpy(d_f, f, nx*ny*a * sizeof(float), cudaMemcpyHostToDevice);
//set velocity profile at inlet
for (j = 0; j < ny; j++) {
Ux0_p[j] = 4.0*Um_p / (pow(Ly, 2))*(((float)j + 1) - 0.5)*del_y_p*(Ly - (((float)j + 1) - 0.5)*del_y_p);
// Ux0[j] = 4.0*Um / (pow(ny, 2))*(((float)j + 1) - 0.5)*del_y*(ny - (((float)j + 1) - 0.5)*del_y);
Ux0[j] = Ux0_p[j] * (del_t_p / del_y_p);
fout_GPU_Ux0 << Ux0[j] << endl;
}
cudaMemcpy(d_Ux0, Ux0, ny * sizeof(float), cudaMemcpyHostToDevice);
// ============================================================================ //
}
__global__
void Kernel_Streaming(float* f, float* ftemp, int* is_boundary_node, int* is_solid_node, int nx, int ny, int a, float ic, float jc, float r) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
int in, ip, jn, jp;
in = i - 1;
ip = i + 1;
jn = j - 1;
jp = j + 1;
float dist = sqrt(pow((float)i - ic, 2) + pow((float)j - jc, 2));
float q = dist - r;
if (!is_boundary_node[i + nx*j]) {
if (!is_solid_node[i + nx*j]) {
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
if (!is_solid_node[ip + nx*j]) ftemp[ip + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 1];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 3] = 2.0 * q * f[i + nx*j + nx*ny * 1] + (1.0 - 2.0*q)*f[(i - 1) + nx*j + nx*ny * 1];
else ftemp[i + nx*j + nx*ny * 3] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 1] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 3];
}
if (!is_solid_node[i + nx*jp]) ftemp[i + nx*jp + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 4] = 2.0 * q * f[i + nx*j + nx*ny * 2] + (1.0 - 2.0*q)*f[i + nx*(j - 1) + nx*ny * 2];
else ftemp[i + nx*j + nx*ny * 4] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 2] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 4];
}
if (!is_solid_node[in + nx*j]) ftemp[in + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 3];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 1] = 2.0 * q * f[i + nx*j + nx*ny * 3] + (1.0 - 2.0*q)*f[(i + 1) + nx*j + nx*ny * 3];
else ftemp[i + nx*j + nx*ny * 1] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 3] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 1];
}
if (!is_solid_node[i + nx*jn]) ftemp[i + nx*jn + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 2] = 2.0 * q * f[i + nx*j + nx*ny * 4] + (1.0 - 2.0*q)*f[i + nx*(j + 1) + nx*ny * 4];
else ftemp[i + nx*j + nx*ny * 2] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 4] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 2];
}
if (!is_solid_node[ip + nx*jp]) ftemp[ip + nx*jp + nx*ny * 5] = f[i + nx*j + nx*ny * 5];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 7] = 2.0 * q * f[i + nx*j + nx*ny * 5] + (1.0 - 2.0*q)*f[(i - 1) + nx*(j - 1) + nx*ny * 5];
else ftemp[i + nx*j + nx*ny * 7] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 5] + (2.0*q - 1) / (2.0*q)*f[i + nx*j + nx*ny * 7];
}
if (!is_solid_node[in + nx*jp]) ftemp[in + nx*jp + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 8] = 2.0 * q * f[i + nx*j + nx*ny * 6] + (1.0 - 2.0*q)*f[(i + 1) + nx*(j - 1) + nx*ny * 6];
else ftemp[i + nx*j + nx*ny * 8] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 6] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 8];
}
if (!is_solid_node[in + nx*jn]) ftemp[in + nx*jn + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 5] = 2.0 * q * f[i + nx*j + nx*ny * 7] + (1.0 - 2.0*q)*f[(i + 1) + nx*(j + 1) + nx*ny * 7];
else ftemp[i + nx*j + nx*ny * 5] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 7] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 5];
}
if (!is_solid_node[ip + nx*jn]) ftemp[ip + nx*jn + nx*ny * 8] = f[i + nx*j + nx*ny * 8];
else {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 6] = 2.0 * q * f[i + nx*j + nx*ny * 8] + (1.0 - 2.0*q)*f[(i - 1) + nx*(j + 1) + nx*ny * 8];
else ftemp[i + nx*j + nx*ny * 6] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 8] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 6];
}
}
}
else {
if ((i == 0) && (j > 0 && j < ny - 1)) { //INLET
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[ip + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 1];
ftemp[i + nx*jp + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*jn + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[ip + nx*jp + nx*ny * 5] = f[i + nx*j + nx*ny * 5];
ftemp[ip + nx*jn + nx*ny * 8] = f[i + nx*j + nx*ny * 8];
}
else if ((i > 0 && i < nx - 1) && (j == ny - 1)) { //TOP
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[ip + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 1];
ftemp[in + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 3];
ftemp[i + nx*jn + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[in + nx*jn + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
ftemp[ip + nx*jn + nx*ny * 8] = f[i + nx*j + nx*ny * 8];
}
else if ((i > 0 && i < nx - 1) && (j == 0)) { //BOTTOM
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[ip + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 1];
ftemp[i + nx*jp + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[in + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 3];
ftemp[ip + nx*jp + nx*ny * 5] = f[i + nx*j + nx*ny * 5];
ftemp[in + nx*jp + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
}
else if ((i == nx - 1) && (j > 0 && j < ny - 1)) { //OUTLET
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[i + nx*jp + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[in + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 3];
ftemp[i + nx*jn + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[in + nx*jp + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
ftemp[in + nx*jn + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
}
else if ((i == 0) && (j == 0)) { //BOTTOM-LEFT
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[ip + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 1];
ftemp[i + nx*jp + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[ip + nx*jp + nx*ny * 5] = f[i + nx*j + nx*ny * 5];
}
else if ((i == 0) && (j == ny - 1)) { //TOP-LEFT
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[ip + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 1];
ftemp[i + nx*jn + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[ip + nx*jn + nx*ny * 8] = f[i + nx*j + nx*ny * 8];
}
else if ((i == nx - 1) && (j == ny - 1)) { //TOP-RIGHT
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[in + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 3];
ftemp[i + nx*jn + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[in + nx*jn + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
}
else if ((i == nx - 1) && (j == 0)) { //BOTTOM-RIGHT
ftemp[i + nx*j + nx*ny * 0] = f[i + nx*j + nx*ny * 0];
ftemp[i + nx*jp + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[in + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 3];
ftemp[in + nx*jp + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
}
}
}
void LBM_GPU::Streaming() {
dim3 dimBlock(BLOCK_SIZE_X, BLOCK_SIZE_Y, BLOCK_SIZE_Z);
dim3 dimGrid((nx + BLOCK_SIZE_X - 1) / BLOCK_SIZE_X, (ny + BLOCK_SIZE_Y - 1) / BLOCK_SIZE_Y, (a + BLOCK_SIZE_Z - 1) / BLOCK_SIZE_Z);
Kernel_Streaming << < dimGrid, dimBlock >> > (d_f, d_ftemp, d_is_boundary_node, d_is_solid_node, nx, ny, a, ic, jc, r);
}
__global__
void Kernel_BC_bounceback(float* f, float* ftemp, float* rho, float* Ux, float* Uy, float* Ux0, float rho1, int nx, int ny, int a) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
float rho0, ru, Ux1, Uy1, rho_extra, Ux_extra, Uy_extra;
// ============================================================================ //
// TOP BOUNDARY (HALF-AWAY BOUNCEBACK)
// ============================================================================ //
if ((i > 0 && i < nx - 1) && (j == ny - 1)){
//Bounce-back boundary
ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
//Periodic boundary
/*ftemp[i + nx*0 + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[(i + 1) + nx*0 + nx*ny * 5] = f[i + nx*j + nx*ny * 5];
ftemp[(i - 1) + nx*0 + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
*/
//Velocity boundary(first order)
/*rho_extra = rho[i + nx*(j - 1)] + 0.5 * (rho[i + nx*(j - 1)] - rho[i + nx*(j - 2)]);
Ux_extra = Ux[i + nx*(j - 1)];
ru = rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] - (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;*/
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[i + nx*(j - 1) + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*(j - 1) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*(j - 1) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*(j - 1) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*(j - 1) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*(j - 1) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*(j - 1) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*(j - 1) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*(j - 1) + nx*ny * 8];
*/
//Extrapolation high order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[i + nx*(j - 1) + nx*ny * 0] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 0] - ftemp[i + nx*(j - 2) + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*(j - 1) + nx*ny * 1] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 1] - ftemp[i + nx*(j - 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*(j - 1) + nx*ny * 2] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 2] - ftemp[i + nx*(j - 2) + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*(j - 1) + nx*ny * 3] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 3] - ftemp[i + nx*(j - 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*(j - 1) + nx*ny * 4] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 4] - ftemp[i + nx*(j - 2) + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*(j - 1) + nx*ny * 5] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 5] - ftemp[i + nx*(j - 2) + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*(j - 1) + nx*ny * 6] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 6] - ftemp[i + nx*(j - 2) + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*(j - 1) + nx*ny * 7] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 7] - ftemp[i + nx*(j - 2) + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*(j - 1) + nx*ny * 8] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 8] - ftemp[i + nx*(j - 2) + nx*ny * 8]);
*/
//Extrapolation 2nd order
/*ftemp[i + nx*j + nx*ny * 4] = 2.0 * ftemp[i + nx*(j - 1) + nx*ny * 4] - ftemp[i + nx*(j - 2) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 7] = 2.0 * ftemp[i + nx*(j - 1) + nx*ny * 7] - ftemp[i + nx*(j - 2) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = 2.0 * ftemp[i + nx*(j - 1) + nx*ny * 8] - ftemp[i + nx*(j - 2) + nx*ny * 8];
*/
//Equilibrium
/*float c = 1;
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
*/
//NEBB method
/*ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] + (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 1] - ftemp[i + nx*j + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] - (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 1] - ftemp[i + nx*j + nx*ny * 3]);
*/
}
// ============================================================================ //
// ============================================================================ //
// BOTTOM BOUNDARY (HALF-AWAY BOUNCEBACK)
// ============================================================================ //
if ((i > 0 && i < nx - 1) && (j == 0)){
//Bounce-back boundary
ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
//Periodic boundary
/*ftemp[i + nx*(ny - 1) + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[(i - 1) + nx*(ny - 1) + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
ftemp[(i + 1) + nx*(ny - 1) + nx*ny * 8] = f[i + nx*j + nx*ny * 8];*/
//Velocity boundary(first order)
/*rho_extra = rho[i + nx*(j + 1)] + 0.5 * (rho[i + nx*(j + 1)] - rho[i + nx*(j + 2)]);
Ux_extra = Ux[i + nx*(j + 1)];
ru = rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 6.0)*ru;*/
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[i + nx*(j + 1) + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*(j + 1) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*(j + 1) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*(j + 1) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*(j + 1) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*(j + 1) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*(j + 1) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*(j + 1) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*(j + 1) + nx*ny * 8];
*/
//Extrapolation high order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[i + nx*(j + 1) + nx*ny * 0] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 0] - ftemp[i + nx*(j + 2) + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*(j + 1) + nx*ny * 1] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 1] - ftemp[i + nx*(j + 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*(j + 1) + nx*ny * 2] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 2] - ftemp[i + nx*(j + 2) + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*(j + 1) + nx*ny * 3] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 3] - ftemp[i + nx*(j + 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*(j + 1) + nx*ny * 4] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 4] - ftemp[i + nx*(j + 2) + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*(j + 1) + nx*ny * 5] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 5] - ftemp[i + nx*(j + 2) + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*(j + 1) + nx*ny * 6] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 6] - ftemp[i + nx*(j + 2) + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*(j + 1) + nx*ny * 7] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 7] - ftemp[i + nx*(j + 2) + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*(j + 1) + nx*ny * 8] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 8] - ftemp[i + nx*(j + 2) + nx*ny * 8]);
*/
//Extrapolation 2nd order
/*ftemp[i + nx*j + nx*ny * 2] = 2.0 * ftemp[i + nx*(j + 1) + nx*ny * 2] - ftemp[i + nx*(j + 2) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 5] = 2.0 * ftemp[i + nx*(j + 1) + nx*ny * 5] - ftemp[i + nx*(j + 2) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = 2.0 * ftemp[i + nx*(j + 1) + nx*ny * 6] - ftemp[i + nx*(j + 2) + nx*ny * 6];
*/
//Equilibrium
/*float c = 1;
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
*/
//NEBB method
/*ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 3] - ftemp[i + nx*j + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 3] - ftemp[i + nx*j + nx*ny * 1]);
*/
}
// ============================================================================ //
// ============================================================================ //
// LEFT BOUNDARY (VELOCITY)
// ============================================================================ //
if ((i == 0) && (j > 0 && j < ny - 1)) {
/*rho0 = rho[(i + 1) + nx*j] + 0.5*(rho[(i + 1) + nx*j] - rho[(i + 2) + nx*j]);
ru = rho0 * Ux0;
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;*/
/*rho0 = ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 4]
+ 2.0*(ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 6]);
ru = rho0 * Ux0[j];
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;*/
//Zou - He boundary
rho0 = (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 4]
+ 2.0*(ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7])) / (1.0 - Ux0[j]);
ru = rho0 * Ux0[j];
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru - (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 2] - ftemp[i + nx*j + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru + (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 2] - ftemp[i + nx*j + nx*ny * 4]);
//wet-node method
// rho0 = (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 4]
// + 2.0*(ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7])) / (1.0 - Ux0[j]);
// ru = rho0 * Ux0[j];
//// ru = rho0 * 0.06;
//
// ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
// ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru - (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 2] - ftemp[i + nx*j + nx*ny * 4]);
// ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru + (1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 2] - ftemp[i + nx*j + nx*ny * 4]);
//Equilibrium
/*float c = 1;
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux0[j] + (4.5 / pow(c, 4)) * pow(Ux0[j], 2) - (1.5 / pow(c, 2)) * (pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux0[j] + (4.5 / pow(c, 4))*pow(Ux0[j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux0[j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux0[j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux0[j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux0[j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux0[j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux0[j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux0[j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux0[j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
*/
}
// ============================================================================ //
// ============================================================================ //
// RIGHT BOUNDARY (EXTRAPOLATION)
// ============================================================================ //
if ((i == nx - 1) && (j > 0 && j < ny - 1)) {
//Extrapolation
// ftemp[i + nx*j + nx*ny * 0] = ftemp[(i - 1) + nx*j + nx*ny * 0] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 0] - ftemp[(i - 2) + nx*j + nx*ny * 0]);
// ftemp[i + nx*j + nx*ny * 1] = ftemp[(i - 1) + nx*j + nx*ny * 1] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 1] - ftemp[(i - 2) + nx*j + nx*ny * 1]);
// ftemp[i + nx*j + nx*ny * 2] = ftemp[(i - 1) + nx*j + nx*ny * 2] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 2] - ftemp[(i - 2) + nx*j + nx*ny * 2]);
// ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*j + nx*ny * 3] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 3] - ftemp[(i - 2) + nx*j + nx*ny * 3]);
// ftemp[i + nx*j + nx*ny * 4] = ftemp[(i - 1) + nx*j + nx*ny * 4] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 4] - ftemp[(i - 2) + nx*j + nx*ny * 4]);
// ftemp[i + nx*j + nx*ny * 5] = ftemp[(i - 1) + nx*j + nx*ny * 5] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 5] - ftemp[(i - 2) + nx*j + nx*ny * 5]);
// ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*j + nx*ny * 6] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 6] - ftemp[(i - 2) + nx*j + nx*ny * 6]);
// ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*j + nx*ny * 7] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 7] - ftemp[(i - 2) + nx*j + nx*ny * 7]);
// ftemp[i + nx*j + nx*ny * 8] = ftemp[(i - 1) + nx*j + nx*ny * 8] + 0.5 * (ftemp[(i - 1) + nx*j + nx*ny * 8] - ftemp[(i - 2) + nx*j + nx*ny * 8]);
//Extrapolation high order
/*ftemp[i + nx*j + nx*ny * 0] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 0] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 0] + ftemp[(i - 3) + nx*j + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 1] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 1] + ftemp[(i - 3) + nx*j + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 2] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 2] + ftemp[(i - 3) + nx*j + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 3] + ftemp[(i - 3) + nx*j + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 4] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 4] + ftemp[(i - 3) + nx*j + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 5] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 5] + ftemp[(i - 3) + nx*j + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 6] + ftemp[(i - 3) + nx*j + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 7] + ftemp[(i - 3) + nx*j + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 8] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 8] + ftemp[(i - 3) + nx*j + nx*ny * 8]);
*/
//Extrapolation type2
/*ftemp[i + nx*j + nx*ny * 3] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - ftemp[(i - 2) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - ftemp[(i - 2) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - ftemp[(i - 2) + nx*j + nx*ny * 7];*/
//Extrapolation first order
ftemp[i + nx*j + nx*ny * 0] = ftemp[(i - 1) + nx*j + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i - 1) + nx*j + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i - 1) + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i - 1) + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i - 1) + nx*j + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i - 1) + nx*j + nx*ny * 8];
//Extrapolation second order
/*ftemp[i + nx*j + nx*ny * 0] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 0] - ftemp[(i - 2) + nx*j + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 1] - ftemp[(i - 2) + nx*j + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 2] - ftemp[(i - 2) + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - ftemp[(i - 2) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 4] - ftemp[(i - 2) + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 5] - ftemp[(i - 2) + nx*j + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - ftemp[(i - 2) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - ftemp[(i - 2) + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 8] - ftemp[(i - 2) + nx*j + nx*ny * 8];*/
//Velocity boundary (first order)
/*rho_extra = rho[(i - 1) + nx*j] + 0.5*(rho[(i - 1) + nx*j] - rho[(i - 2) + nx*j]);
Ux_extra = Ux[(i - 1) + nx*j];
Uy_extra = Uy[(i - 1) + nx*j];
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*j + nx*ny * 1] - (2.0 / 3.0)*rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 6.0)*rho_extra*(Ux_extra - Uy_extra);
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] - (1.0 / 6.0)*rho_extra*(Ux_extra + Uy_extra);*/
//Pressure boundary
/*Ux1 = Ux[(i - 1) + nx*j] + 0.5*(Ux[(i - 1) + nx*j] - Ux[(i - 2) + nx*j]);
Uy1 = Uy[(i - 1) + nx*j] + 0.5*(Uy[(i - 1) + nx*j] - Uy[(i - 2) + nx*j]);
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 - Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 + Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
*/
//wet-node method
/*Ux1 = -1.0 + (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 4]
+ 2.0*(ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 8])) / rho1;
ru = rho1 * Ux1;
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*j + nx*ny * 1] - (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 6.0)*ru -(1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 2] - ftemp[i + nx*j + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] - (1.0 / 6.0)*ru +(1.0 / 2.0)*(ftemp[i + nx*j + nx*ny * 2] - ftemp[i + nx*j + nx*ny * 4]);
*/
}
// ============================================================================ //
// ============================================================================ //
// TOP-LEFT CORNER (EQUILIBRIUM)
// ============================================================================ //
if ((i == 0) && (j == ny - 1)) {
//case 1
// ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
// ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
//// rho0 = rho[(i + 1) + nx*(j - 1)] + 0.5*(rho[(i + 1) + nx*(j - 1)] - rho[(i + 2) + nx*(j - 2)]);
// rho0 = rho[i + nx*(j - 1)];
// ru = rho0 * Ux0[j];
// ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
// ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
// ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
//case 2
//ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
//ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
//ftemp[i + nx*j + nx*ny * 5] = -ftemp[i + nx*j + nx*ny * 7];
//rho0 = rho[(i + 1) + nx*(j - 1)] + 0.5*(rho[(i + 1) + nx*(j - 1)] - rho[(i + 2) + nx*(j - 2)]);
//ru = rho0 * Ux0;
//ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
//ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
//ftemp[i + nx*j + nx*ny * 0] = rho0 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//case 3
/*ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];*/
//case 4
/*ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
rho0 = rho[(i + 0) + nx*(j - 1)] + 0.5*(rho[(i + 0) + nx*(j - 1)] - rho[(i + 0) + nx*(j - 2)]);
ru = rho0 * Ux0[j];
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
*/
//case 5
//// rho0 = rho[(i + 0) + nx*(j - 1)] + 0.5*(rho[(i + 0) + nx*(j - 1)] - rho[(i + 0) + nx*(j - 2)]);
// rho0 = rho[i + nx*(j - 1)];
//// rho0 = 1.0;
// ru = rho0 * Ux0[j];
//// ru = rho0* 0.005;
//
// ftemp[i + nx*j + nx*ny * 7] = -(1.0 / 12.0) * ru;
// ftemp[i + nx*j + nx*ny * 5] = (1.0 / 12.0) * ru;
//
// ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
// ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
// ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
//
// ftemp[i + nx*j + nx*ny * 0] = rho0 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//Periodic + Velocity
/*ftemp[i + nx*0 + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[(i + 1) + nx*0 + nx*ny * 5] = f[i + nx*j + nx*ny * 5];
rho0 = rho[(i + 1) + nx*(j - 1)] + 0.5*(rho[(i + 1) + nx*(j - 1)] - rho[(i + 2) + nx*(j - 2)]);
ru = rho0 * Ux0;
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;*/
//wet-node method
// rho0 = rho[i + nx*(j - 1)];
//// rho0 = 1.001;
//// rho0 = rho[(i + 0) + nx*(j - 1)] + 0.5*(rho[(i + 0) + nx*(j - 1)] - rho[(i + 0) + nx*(j - 2)]);
//// rho0 = rho1;
//
// ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3];
// ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
// ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
// ftemp[i + nx*j + nx*ny * 5] = 0.5 * (rho0 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
// + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 8]));
// ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5];
//Equilibrium
float c = 1;
/*ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux0[j] + (4.5 / pow(c, 4)) * pow(Ux0[j], 2) - (1.5 / pow(c, 2)) * (pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux0[j] + (4.5 / pow(c, 4))*pow(Ux0[j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux0[j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux0[j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux0[j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux0[j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux0[j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux0[j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux0[j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux0[j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
*/
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
}
// ============================================================================ //
// ============================================================================ //
// BOTTOM-LEFT CORNER (EQUILIBRIUM)
// ============================================================================ //
if ((i == 0) && (j == 0)) {
//case 1
// ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
// ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
//// rho0 = rho[(i + 1) + nx*(j + 1)] + 0.5*(rho[(i + 1) + nx*(j + 1)] - rho[(i + 2) + nx*(j + 2)]);
// rho0 = rho[i + nx*(j + 1)];
// ru = rho0 * Ux0[j];
// ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
// ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
// ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
//case 2
//ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
//ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
//ftemp[i + nx*j + nx*ny * 8] = -ftemp[i + nx*j + nx*ny * 6];
//rho0 = rho[(i + 1) + nx*(j + 1)] + 0.5*(rho[(i + 1) + nx*(j + 1)] - rho[(i + 2) + nx*(j + 2)]);
//ru = rho0 * Ux0;
//ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
//ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
//
//ftemp[i + nx*j + nx*ny * 0] = rho0 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//case 3
/*ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
*/
//case 4
/*ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
rho0 = rho[(i + 0) + nx*(j + 1)] + 0.5*(rho[(i + 0) + nx*(j + 1)] - rho[(i + 0) + nx*(j + 2)]);
ru = rho0 * Ux0[j];
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
*/
//case 5
//// rho0 = rho[(i + 0) + nx*(j + 1)] + 0.5*(rho[(i + 0) + nx*(j + 1)] - rho[(i + 0) + nx*(j + 2)]);
// rho0 = rho[i + nx*(j + 1)];
//// rho0 = 1.0;
// ru = rho0 * Ux0[j];
//// ru = rho0* 0.005;
//
// ftemp[i + nx*j + nx*ny * 6] = -(1.0 / 12.0) * ru;
// ftemp[i + nx*j + nx*ny * 8] = (1.0 / 12.0) * ru;
//
// ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
// ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
// ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
//
// ftemp[i + nx*j + nx*ny * 0] = rho0 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//Periodic + Velocity
/*ftemp[i + nx*(ny - 1) + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[(i + 1) + nx*(ny - 1) + nx*ny * 8] = f[i + nx*j + nx*ny * 8];
rho0 = rho[(i + 1) + nx*(j + 1)] + 0.5*(rho[(i + 1) + nx*(j + 1)] - rho[(i + 2) + nx*(j + 2)]);
ru = rho0 * Ux0;
ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3] + (2.0 / 3.0)*ru;
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
*/
//wet-node method
// rho0 = rho[i + nx*(j + 1)];
//// rho0 = 1.001;
//// rho0 = rho[(i + 0) + nx*(j + 1)] + 0.5*(rho[(i + 0) + nx*(j + 1)] - rho[(i + 0) + nx*(j + 2)]);
//// rho0 = rho1;
//
// ftemp[i + nx*j + nx*ny * 1] = f[i + nx*j + nx*ny * 3];
// ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
// ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
// ftemp[i + nx*j + nx*ny * 6] = 0.5 * (rho0 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
// + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 7]));
// ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6];
//Equilibrium
float c = 1;
/*ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux0[j] + (4.5 / pow(c, 4)) * pow(Ux0[j], 2) - (1.5 / pow(c, 2)) * (pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux0[j] + (4.5 / pow(c, 4))*pow(Ux0[j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux0[j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux0[j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux0[j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux0[j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux0[j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux0[j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux0[j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux0[j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux0[j], 2) + pow(Uy[i + nx*j], 2)));
*/
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
}
// ============================================================================ //
// ============================================================================ //
// TOP-RIGHT CORNER (EQUILIBRIUM)
// ============================================================================ //
if ((i == nx - 1) && (j == ny - 1)) {
//case 1
/*ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
Ux1 = Ux[(i - 1) + nx*(j - 1)] + 0.5*(Ux[(i - 1) + nx*(j - 1)] - Ux[(i - 2) + nx*(j - 2)]);
Uy1 = Uy[(i - 1) + nx*(j - 1)] + 0.5*(Uy[(i - 1) + nx*(j - 1)] - Uy[(i - 2) + nx*(j - 2)]);
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 - Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 + Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));*/
//case 2
//ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
//ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
//ftemp[i + nx*j + nx*ny * 6] = -ftemp[i + nx*j + nx*ny * 8];
//Ux1 = Ux[(i - 1) + nx*(j - 1)] + 0.5*(Ux[(i - 1) + nx*(j - 1)] - Ux[(i - 2) + nx*(j - 2)]);
//ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
//ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
//ftemp[i + nx*j + nx*ny * 0] = rho1 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//case 3
/*ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];*/
//case 4
/*ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 8] = f[i + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
Ux1 = Ux[(i - 1) + nx*(j - 1)] + 0.5*(Ux[(i - 1) + nx*(j - 1)] - Ux[(i - 2) + nx*(j - 2)]);
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
*/
//case 5
// Ux1 = Ux[(i - 1) + nx*(j - 0)];
//// rho_extra = rho[(i - 1) + nx*(j - 1)] + 0.5*(rho[(i - 1) + nx*(j - 1)] - rho[(i - 2) + nx*(j - 2)]);
// rho_extra = rho[(i - 1) + nx*(j - 0)];
// ru = rho_extra * Ux1;
//
// ftemp[i + nx*j + nx*ny * 8] = (1.0 / 12.0) * ru;
// ftemp[i + nx*j + nx*ny * 6] = -(1.0 / 12.0) * ru;
//
// ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
// ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*j + nx*ny * 1] - (2.0 / 3.0) * ru;
// ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] - (1.0 / 6.0) * ru;
//
// ftemp[i + nx*j + nx*ny * 0] = rho1 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//Periodic + Bounce back
/*ftemp[i + nx*0 + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[(i - 1) + nx*0 + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
Ux1 = Ux[(i - 1) + nx*(j - 1)];
Uy1 = Uy[(i - 1) + nx*(j - 1)];
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 - Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 + Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
*/
//Periodic + Extrapolation
/*ftemp[i + nx * 0 + nx*ny * 2] = f[i + nx*j + nx*ny * 2];
ftemp[(i - 1) + nx * 0 + nx*ny * 6] = f[i + nx*j + nx*ny * 6];
*/
//wet-node method
//// rho0 = rho[(i - 1) + nx*(j - 0)];
// rho0 = rho1;
//// rho0 = rho[(i - 0) + nx*(j - 1)] + 0.5*(rho[(i - 0) + nx*(j - 1)] - rho[(i - 0) + nx*(j - 2)]);
//
// ftemp[i + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 1];
// ftemp[i + nx*j + nx*ny * 4] = f[i + nx*j + nx*ny * 2];
// ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];
// ftemp[i + nx*j + nx*ny * 6] = 0.5 * (rho0 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
// + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 7]));
// ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6];
//Equilibrium
float c = 1;
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
}
// ============================================================================ //
// ============================================================================ //
// BOTTOM-RIGHT CORNER (EQUILIBRIUM)
// ============================================================================ //
if ((i == nx - 1) && (j == 0)) {
//case 1
/*ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
Ux1 = Ux[(i - 1) + nx*(j + 1)] + 0.5*(Ux[(i - 1) + nx*(j + 1)] - Ux[(i - 2) + nx*(j + 2)]);
Uy1 = Uy[(i - 1) + nx*(j + 1)] + 0.5*(Uy[(i - 1) + nx*(j + 1)] - Uy[(i - 2) + nx*(j + 2)]);
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 - Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 + Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
*/
//case 2
//ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
//ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
//ftemp[i + nx*j + nx*ny * 7] = -ftemp[i + nx*j + nx*ny * 5];
//Ux1 = Ux[(i - 1) + nx*(j + 1)] + 0.5*(Ux[(i - 1) + nx*(j + 1)] - Ux[(i - 2) + nx*(j + 2)]);
//ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
//ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
//
//ftemp[i + nx*j + nx*ny * 0] = rho1 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//case 3
/*ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
ftemp[i + nx*j + nx*ny * 7] = f[i + nx*j + nx*ny * 5];*/
//case 4
/*ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = f[i + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
Ux1 = Ux[(i - 1) + nx*(j + 1)] + 0.5*(Ux[(i - 1) + nx*(j + 1)] - Ux[(i - 2) + nx*(j + 2)]);
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + 3.0 * Ux1*Ux1);
*/
//case 5
// Ux1 = Ux[(i - 1) + nx*(j + 0)];
//// rho_extra = rho[(i - 1) + nx*(j + 1)] + 0.5*(rho[(i - 1) + nx*(j + 1)] - rho[(i - 2) + nx*(j + 2)]);
// rho_extra = rho[(i - 1) + nx*(j + 0)];
//
// ru = Ux1 * rho_extra;
//
// ftemp[i + nx*j + nx*ny * 5] = (1.0 / 12.0) * ru;
// ftemp[i + nx*j + nx*ny * 7] = -(1.0 / 12.0) * ru;
//
// ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
// ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*j + nx*ny * 1] - (2.0 / 3.0) * ru;
// ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 6.0) * ru;
//
// ftemp[i + nx*j + nx*ny * 0] = rho1 - (ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
// + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7] + ftemp[i + nx*j + nx*ny * 8]);
//
//Periodic + Bounce back
/*ftemp[i + nx*(ny - 1) + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[(i - 1) + nx*(ny - 1) + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
Ux1 = Ux[(i - 1) + nx*(j + 1)];
Uy1 = Uy[(i - 1) + nx*(j + 1)];
ftemp[i + nx*j + nx*ny * 3] = -f[i + nx*j + nx*ny * 1] + (2.0 / 9.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 6] = -f[i + nx*j + nx*ny * 8] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 - Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));
ftemp[i + nx*j + nx*ny * 7] = -f[i + nx*j + nx*ny * 5] + (1.0 / 18.0) * rho1 * (1.0 + (9.0 / 2.0)*pow(Ux1 + Uy1, 2) - (3.0 / 2.0)*(Ux1*Ux1 + Uy1*Uy1));*/
//Periodic + Extrapolation
/*ftemp[i + nx*(ny - 1) + nx*ny * 4] = f[i + nx*j + nx*ny * 4];
ftemp[(i - 1) + nx*(ny - 1) + nx*ny * 7] = f[i + nx*j + nx*ny * 7];
*/
//wet-node method
//// rho0 = rho[(i - 1) + nx*(j + 0)];
// rho0 = rho1;
//// rho0 = rho[(i - 0) + nx*(j + 1)] + 0.5*(rho[(i - 0) + nx*(j + 1)] - rho[(i - 0) + nx*(j + 2)]);
// ftemp[i + nx*j + nx*ny * 2] = f[i + nx*j + nx*ny * 4];
// ftemp[i + nx*j + nx*ny * 6] = f[i + nx*j + nx*ny * 8];
// ftemp[i + nx*j + nx*ny * 3] = f[i + nx*j + nx*ny * 1];
// ftemp[i + nx*j + nx*ny * 5] = 0.5 * (rho0 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
// + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 8]));
// ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5];
//Equilibrium
float c = 1;
ftemp[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
ftemp[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
}
// ============================================================================ //
}
void LBM_GPU::BC_bounceback() {
dim3 dimBlock(BLOCK_SIZE_X, BLOCK_SIZE_Y, BLOCK_SIZE_Z);
dim3 dimGrid((nx + BLOCK_SIZE_X - 1) / BLOCK_SIZE_X, (ny + BLOCK_SIZE_Y - 1) / BLOCK_SIZE_Y, (a + BLOCK_SIZE_Z - 1) / BLOCK_SIZE_Z);
Kernel_BC_bounceback << < dimGrid, dimBlock >> > (d_f, d_ftemp, d_rho, d_Ux, d_Uy, d_Ux0, rho1, nx, ny, a);
}
__global__
void Kernel_BC_extra(float* ftemp, float* Ux, float* rho, int nx, int ny, int a, float rho1) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
float ru, Ux_extra, rho_extra;
// ============================================================================ //
// TOP-LEFT CORNER (VELOCITY & PERIODIC)
// ============================================================================ //
if ((i == 0) && (j == ny - 1)) {
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i + 0) + nx*(j - 1) + nx*ny * 8];*/
//Extrapolation high order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 0] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 0] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 1] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 1] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 2] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 2] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 3] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 3] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 4] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 4] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 5] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 5] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 6] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 6] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 7] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 7] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i + 1) + nx*(j - 1) + nx*ny * 8] + 0.5 * (ftemp[(i + 1) + nx*(j - 1) + nx*ny * 8] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 8]);
*/
//Extrapolation 2nd order + moving wall
/*ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*(j - 1) + nx*ny * 1] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 1] - ftemp[i + nx*(j - 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*(j - 1) + nx*ny * 5] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 5] - ftemp[i + nx*(j - 2) + nx*ny * 5]);
rho_extra = rho[i + nx*(j - 1)] + 0.5 * (rho[i + nx*(j - 1)] - rho[i + nx*(j - 2)]);
Ux_extra = Ux[i + nx*(j - 1)] + 0.5 * (Ux[i + nx*(j - 1)] - Ux[i + nx*(j - 2)]);
ru = rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] - (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
*/
//Extrapolation 2nd order
/*ftemp[i + nx*j + nx*ny * 1] = 2.0*ftemp[(i + 1) + nx*(j - 1) + nx*ny * 1] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 5] = 2.0*ftemp[(i + 1) + nx*(j - 1) + nx*ny * 5] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 4] = 2.0*ftemp[(i + 1) + nx*(j - 1) + nx*ny * 4] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i + 1) + nx*(j - 1) + nx*ny * 7] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = 2.0*ftemp[(i + 1) + nx*(j - 1) + nx*ny * 8] - ftemp[(i + 2) + nx*(j - 2) + nx*ny * 8];
*/
//Zou - He boundary
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 5] = 0.5 * (rho1 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
+ ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 8]));
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5];
}
// ============================================================================ //
// ============================================================================ //
// BOTTOM-LEFT CORNER (VELOCITY & PERIODIC)
// ============================================================================ //
if ((i == 0) && (j == 0)) {
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i + 0) + nx*(j + 1) + nx*ny * 8];*/
//Extrapolation high order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 0] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 0] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 1] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 1] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 2] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 2] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 3] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 3] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 4] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 4] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 5] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 5] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 6] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 6] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 7] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 7] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i + 1) + nx*(j + 1) + nx*ny * 8] + 0.5 * (ftemp[(i + 1) + nx*(j + 1) + nx*ny * 8] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 8]);
*/
//Extrapolation 2nd order + moving wall
/*ftemp[i + nx*j + nx*ny * 1] = ftemp[i+ nx*(j + 1) + nx*ny * 1] + 0.5 * (ftemp[i+ nx*(j + 1) + nx*ny * 1] - ftemp[i+ nx*(j + 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[i+ nx*(j + 1) + nx*ny * 8] + 0.5 * (ftemp[i+ nx*(j + 1) + nx*ny * 8] - ftemp[i+ nx*(j + 2) + nx*ny * 8]);
rho_extra = rho[i + nx*(j + 1)] + 0.5 * (rho[i + nx*(j + 1)] - rho[i + nx*(j + 2)]);
Ux_extra = Ux[i + nx*(j + 1)] + 0.5 * (Ux[i + nx*(j + 1)] - Ux[i + nx*(j + 2)]);
ru = rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 6.0)*ru;
*/
//Extrapolation 2nd order
/*ftemp[i + nx*j + nx*ny * 1] = 2.0*ftemp[(i + 1) + nx*(j + 1) + nx*ny * 1] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 8] = 2.0*ftemp[(i + 1) + nx*(j + 1) + nx*ny * 8] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 8];
ftemp[i + nx*j + nx*ny * 2] = 2.0*ftemp[(i + 1) + nx*(j + 1) + nx*ny * 2] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 5] = 2.0*ftemp[(i + 1) + nx*(j + 1) + nx*ny * 5] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i + 1) + nx*(j + 1) + nx*ny * 6] - ftemp[(i + 2) + nx*(j + 2) + nx*ny * 6];
*/
//Zou - He boundary
ftemp[i + nx*j + nx*ny * 1] = ftemp[i + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 6] = 0.5 * (rho1 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
+ ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 7]));
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6];
}
// ============================================================================ //
// ============================================================================ //
// TOP-RIGHT CORNER (EXTRAPOLATION & PERIODIC)
// ============================================================================ //
if ((i == nx - 1) && (j == ny - 1)) {
//Extrapolation
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 0] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 0] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 1] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 1] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 2] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 2] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 3] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 3] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 4] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 4] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 5] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 5] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 6] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 6] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 7] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 7] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i - 1) + nx*(j - 1) + nx*ny * 8] + 0.5 * (ftemp[(i - 1) + nx*(j - 1) + nx*ny * 8] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 8]);*/
//Extrapolation high order
/*ftemp[i + nx*j + nx*ny * 3] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 3] + ftemp[(i - 3) + nx*j + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 6] + ftemp[(i - 3) + nx*j + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 7] + ftemp[(i - 3) + nx*j + nx*ny * 7]);
*/
//Extrapolation 2nd order
/*ftemp[i + nx*j + nx*ny * 3] = 2.0*ftemp[(i - 1) + nx*(j - 1) + nx*ny * 3] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i - 1) + nx*(j - 1) + nx*ny * 6] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i - 1) + nx*(j - 1) + nx*ny * 7] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 4] = 2.0*ftemp[(i - 1) + nx*(j - 1) + nx*ny * 4] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 8] = 2.0*ftemp[(i - 1) + nx*(j - 1) + nx*ny * 8] - ftemp[(i - 2) + nx*(j - 2) + nx*ny * 8];
*/
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*j + nx*ny * 7];
*/
//Extrapolation second order
/*ftemp[i + nx*j + nx*ny * 3] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - ftemp[(i - 2) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - ftemp[(i - 2) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - ftemp[(i - 2) + nx*j + nx*ny * 7];*/
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i - 1) + nx*(j - 0) + nx*ny * 8];*/
//Extrapolation 2nd order + moving wall
/*ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*(j - 1) + nx*ny * 3] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 3] - ftemp[i + nx*(j - 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*(j - 1) + nx*ny * 6] + 0.5 * (ftemp[i + nx*(j - 1) + nx*ny * 6] - ftemp[i + nx*(j - 2) + nx*ny * 6]);
rho_extra = rho[i + nx*(j - 1)] + 0.5 * (rho[i + nx*(j - 1)] - rho[i + nx*(j - 2)]);
Ux_extra = Ux[i + nx*(j - 1)] + 0.5 * (Ux[i + nx*(j - 1)] - Ux[i + nx*(j - 2)]);
ru = rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5] - (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6] + (1.0 / 6.0)*ru;
*/
//Zou - He boundary
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*j + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 4] = ftemp[i + nx*j + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = 0.5 * (rho1 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
+ ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 7]));
ftemp[i + nx*j + nx*ny * 8] = ftemp[i + nx*j + nx*ny * 6];
}
// ============================================================================ //
// ============================================================================ //
// BOTTOM-RIGHT CORNER (EXTRAPOLATION & PERIODIC)
// ============================================================================ //
if ((i == nx - 1) && (j == 0)) {
//Extrapolation
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 0] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 0] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 0]);
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 1] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 1] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 1]);
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 2] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 2] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 2]);
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 3] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 3] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 4] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 4] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 4]);
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 5] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 5] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 5]);
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 6] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 6] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 7] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 7] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 7]);
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i - 1) + nx*(j + 1) + nx*ny * 8] + 0.5 * (ftemp[(i - 1) + nx*(j + 1) + nx*ny * 8] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 8]);
*/
//Extrapolation high order
/* ftemp[i + nx*j + nx*ny * 3] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 3] + ftemp[(i - 3) + nx*j + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 6] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 6] + ftemp[(i - 3) + nx*j + nx*ny * 6]);
ftemp[i + nx*j + nx*ny * 7] = (1.0 / 3.0) * (7.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - 5.0*ftemp[(i - 2) + nx*j + nx*ny * 7] + ftemp[(i - 3) + nx*j + nx*ny * 7]);
*/
//Extrapolation 2nd order
/*ftemp[i + nx*j + nx*ny * 3] = 2.0*ftemp[(i - 1) + nx*(j + 1) + nx*ny * 3] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i - 1) + nx*(j + 1) + nx*ny * 6] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i - 1) + nx*(j + 1) + nx*ny * 7] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 2] = 2.0*ftemp[(i - 1) + nx*(j + 1) + nx*ny * 2] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 5] = 2.0*ftemp[(i - 1) + nx*(j + 1) + nx*ny * 5] - ftemp[(i - 2) + nx*(j + 2) + nx*ny * 5];*/
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*j + nx*ny * 7];*/
//Extrapolation second order
/*ftemp[i + nx*j + nx*ny * 3] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 3] - ftemp[(i - 2) + nx*j + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 6] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 6] - ftemp[(i - 2) + nx*j + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = 2.0*ftemp[(i - 1) + nx*j + nx*ny * 7] - ftemp[(i - 2) + nx*j + nx*ny * 7];
*/
//Extrapolation first order
/*ftemp[i + nx*j + nx*ny * 0] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 0];
ftemp[i + nx*j + nx*ny * 1] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 2] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 2];
ftemp[i + nx*j + nx*ny * 3] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 3];
ftemp[i + nx*j + nx*ny * 4] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 5];
ftemp[i + nx*j + nx*ny * 6] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 6];
ftemp[i + nx*j + nx*ny * 7] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 7];
ftemp[i + nx*j + nx*ny * 8] = ftemp[(i - 1) + nx*(j + 0) + nx*ny * 8];
*/
//Extrapolation 2nd order + moving wall
/*ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*(j + 1) + nx*ny * 3] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 3] - ftemp[i + nx*(j + 2) + nx*ny * 3]);
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*(j + 1) + nx*ny * 7] + 0.5 * (ftemp[i + nx*(j + 1) + nx*ny * 7] - ftemp[i + nx*(j + 2) + nx*ny * 7]);
rho_extra = rho[i + nx*(j + 1)] + 0.5 * (rho[i + nx*(j + 1)] - rho[i + nx*(j + 2)]);
Ux_extra = Ux[i + nx*(j + 1)] + 0.5 * (Ux[i + nx*(j + 1)] - Ux[i + nx*(j + 2)]);
ru = rho_extra*Ux_extra;
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 5] = ftemp[i + nx*j + nx*ny * 7] + (1.0 / 6.0)*ru;
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8] - (1.0 / 6.0)*ru;
*/
//Zou - He boundary
ftemp[i + nx*j + nx*ny * 2] = ftemp[i + nx*j + nx*ny * 4];
ftemp[i + nx*j + nx*ny * 6] = ftemp[i + nx*j + nx*ny * 8];
ftemp[i + nx*j + nx*ny * 3] = ftemp[i + nx*j + nx*ny * 1];
ftemp[i + nx*j + nx*ny * 5] = 0.5 * (rho1 - (ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1] + ftemp[i + nx*j + nx*ny * 2]
+ ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 8]));
ftemp[i + nx*j + nx*ny * 7] = ftemp[i + nx*j + nx*ny * 5];
}
// ============================================================================ //
}
void LBM_GPU::BC_extra() {
dim3 dimBlock(BLOCK_SIZE_X, BLOCK_SIZE_Y, BLOCK_SIZE_Z);
dim3 dimGrid((nx + BLOCK_SIZE_X - 1) / BLOCK_SIZE_X, (ny + BLOCK_SIZE_Y - 1) / BLOCK_SIZE_Y, (a + BLOCK_SIZE_Z - 1) / BLOCK_SIZE_Z);
Kernel_BC_extra << < dimGrid, dimBlock >> > (d_ftemp, d_Ux, d_rho, nx, ny, a, rho1);
}
__global__
void Kernel_Eq(float* ftemp, float* feq, float* Ux, float* Uy, float* rho, float* ex, float* ey, int nx, int ny, int a, int* is_solid_node, float c) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
//Calculation of Macroscopic var
if (!is_solid_node[i + nx*j]){
rho[i + nx*j] = ftemp[i + nx*j + nx*ny * 0] + ftemp[i + nx*j + nx*ny * 1]
+ ftemp[i + nx*j + nx*ny * 2] + ftemp[i + nx*j + nx*ny * 3] + ftemp[i + nx*j + nx*ny * 4]
+ ftemp[i + nx*j + nx*ny * 5] + ftemp[i + nx*j + nx*ny * 6] + ftemp[i + nx*j + nx*ny * 7]
+ ftemp[i + nx*j + nx*ny * 8];
Ux[i + nx*j] = ftemp[i + nx*j + nx*ny * 1] * ex[1] + ftemp[i + nx*j + nx*ny * 3] * ex[3]
+ ftemp[i + nx*j + nx*ny * 5] * ex[5] + ftemp[i + nx*j + nx*ny * 6] * ex[6] + ftemp[i + nx*j + nx*ny * 7] * ex[7]
+ ftemp[i + nx*j + nx*ny * 8] * ex[8];
Uy[i + nx*j] = ftemp[i + nx*j + nx*ny * 2] * ey[2] + ftemp[i + nx*j + nx*ny * 4] * ey[4]
+ ftemp[i + nx*j + nx*ny * 5] * ey[5] + ftemp[i + nx*j + nx*ny * 6] * ey[6] + ftemp[i + nx*j + nx*ny * 7] * ey[7]
+ ftemp[i + nx*j + nx*ny * 8] * ey[8];
Ux[i + nx*j] /= rho[i + nx*j];
Uy[i + nx*j] /= rho[i + nx*j];
feq[i + nx*j + nx*ny * 0] = (4.0 / 9.0) * rho[i + nx*j] * (1.0 - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 1] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4)) * pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2)) * (pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 2] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 3] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Ux[i + nx*j] + (4.5 / pow(c, 4))*pow(Ux[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 4] = (1.0 / 9.0) * rho[i + nx*j] * (1.0 - (3.0 / pow(c, 2)) * Uy[i + nx*j] + (4.5 / pow(c, 4))*pow(Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 5] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 6] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] + Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] + Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 7] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (-Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(-Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
feq[i + nx*j + nx*ny * 8] = (1.0 / 36.0) * rho[i + nx*j] * (1.0 + (3.0 / pow(c, 2)) * (Ux[i + nx*j] - Uy[i + nx*j]) + (4.5 / pow(c, 4))*pow(Ux[i + nx*j] - Uy[i + nx*j], 2) - (1.5 / pow(c, 2))*(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2)));
}
}
__global__
void Kernel_Collision(float* fN, float* ftemp, float* feq, int nx, int ny, int a, float tau, int* is_solid_node) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
if (!is_solid_node[i + nx*j]) {
fN[i + nx*j + nx*ny*k] = ftemp[i + nx*j + nx*ny*k] - (ftemp[i + nx*j + nx*ny*k] - feq[i + nx*j + nx*ny*k]) / tau;
}
}
void LBM_GPU::Collision() {
dim3 dimBlock(BLOCK_SIZE_X, BLOCK_SIZE_Y, BLOCK_SIZE_Z);
dim3 dimGrid((nx + BLOCK_SIZE_X - 1) / BLOCK_SIZE_X, (ny + BLOCK_SIZE_Y - 1) / BLOCK_SIZE_Y, (a + BLOCK_SIZE_Z - 1) / BLOCK_SIZE_Z);
Kernel_Eq << < dimGrid, dimBlock >> > (d_ftemp, d_feq, d_Ux, d_Uy, d_rho, d_ex, d_ey, nx, ny, a, d_is_solid_node, c);
Kernel_Collision << < dimGrid, dimBlock >> > (d_fN, d_ftemp, d_feq, nx, ny, a, tau, d_is_solid_node);
}
__global__
void Kernel_Error(float* f, float* Ux, float* Uy, float* U, float* rho, float* fN, float* UxN, float* UyN, float* UN, float* rhoN, float* ex, float* ey, int nx, int ny, int a, int* is_solid_node) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
if (!is_solid_node[i + nx*j]) {
rho[i + nx*j] = f[i + nx*j + nx*ny * 0] + f[i + nx*j + nx*ny * 1]
+ f[i + nx*j + nx*ny * 2] + f[i + nx*j + nx*ny * 3] + f[i + nx*j + nx*ny * 4]
+ f[i + nx*j + nx*ny * 5] + f[i + nx*j + nx*ny * 6] + f[i + nx*j + nx*ny * 7]
+ f[i + nx*j + nx*ny * 8];
Ux[i + nx*j] = f[i + nx*j + nx*ny * 1] * ex[1] + f[i + nx*j + nx*ny * 3] * ex[3]
+ f[i + nx*j + nx*ny * 5] * ex[5] + f[i + nx*j + nx*ny * 6] * ex[6] + f[i + nx*j + nx*ny * 7] * ex[7]
+ f[i + nx*j + nx*ny * 8] * ex[8];
Uy[i + nx*j] = f[i + nx*j + nx*ny * 2] * ey[2] + f[i + nx*j + nx*ny * 4] * ey[4]
+ f[i + nx*j + nx*ny * 5] * ey[5] + f[i + nx*j + nx*ny * 6] * ey[6] + f[i + nx*j + nx*ny * 7] * ey[7]
+ f[i + nx*j + nx*ny * 8] * ey[8];
Ux[i + nx*j] /= rho[i + nx*j];
Uy[i + nx*j] /= rho[i + nx*j];
U[i + nx*j] = sqrt(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2));
rhoN[i + nx*j] = fN[i + nx*j + nx*ny * 0] + fN[i + nx*j + nx*ny * 1]
+ fN[i + nx*j + nx*ny * 2] + fN[i + nx*j + nx*ny * 3] + fN[i + nx*j + nx*ny * 4]
+ fN[i + nx*j + nx*ny * 5] + fN[i + nx*j + nx*ny * 6] + fN[i + nx*j + nx*ny * 7]
+ fN[i + nx*j + nx*ny * 8];
UxN[i + nx*j] = fN[i + nx*j + nx*ny * 1] * ex[1] + fN[i + nx*j + nx*ny * 3] * ex[3]
+ fN[i + nx*j + nx*ny * 5] * ex[5] + fN[i + nx*j + nx*ny * 6] * ex[6] + fN[i + nx*j + nx*ny * 7] * ex[7]
+ fN[i + nx*j + nx*ny * 8] * ex[8];
UyN[i + nx*j] = fN[i + nx*j + nx*ny * 2] * ey[2] + fN[i + nx*j + nx*ny * 4] * ey[4]
+ fN[i + nx*j + nx*ny * 5] * ey[5] + fN[i + nx*j + nx*ny * 6] * ey[6] + fN[i + nx*j + nx*ny * 7] * ey[7]
+ fN[i + nx*j + nx*ny * 8] * ey[8];
UxN[i + nx*j] /= rhoN[i + nx*j];
UyN[i + nx*j] /= rhoN[i + nx*j];
UN[i + nx*j] = sqrt(pow(UxN[i + nx*j], 2) + pow(UyN[i + nx*j], 2));
}
}
void LBM_GPU::Error() {
dim3 dimBlock(BLOCK_SIZE_X, BLOCK_SIZE_Y, BLOCK_SIZE_Z);
dim3 dimGrid((nx + BLOCK_SIZE_X - 1) / BLOCK_SIZE_X, (ny + BLOCK_SIZE_Y - 1) / BLOCK_SIZE_Y, (a + BLOCK_SIZE_Z - 1) / BLOCK_SIZE_Z);
Kernel_Error << < dimGrid, dimBlock >> > (d_f, d_Ux, d_Uy, d_U, d_rho, d_fN, d_UxN, d_UyN, d_UN, d_rhoN, d_ex, d_ey, nx, ny, a, d_is_solid_node);
cudaMemcpy(U, d_U, nx*ny * sizeof(float), cudaMemcpyDeviceToHost);
cudaMemcpy(UN, d_UN, nx*ny * sizeof(float), cudaMemcpyDeviceToHost);
sum = 0.0;
for (i = 0; i < nx; i++) {
for (j = 0; j < ny; j++) {
if (!is_solid_node[i + nx*j]) {
sum = sum + pow(abs(UN[i + nx*j] - U[i + nx*j]), 2);
}
}
}
error = sqrt(sum / (nx*ny - sn));
}
__global__
void Kernel_Update(float* fN, float* f, float* Ux, float* Uy, float* U, float* rho, float* ex, float* ey, int nx, int ny, int a, int* is_solid_node) {
int i = blockDim.x * blockIdx.x + threadIdx.x;
int j = blockDim.y * blockIdx.y + threadIdx.y;
int k = blockDim.z * blockIdx.z + threadIdx.z;
if (i >= nx || j >= ny || k >= a) return;
if(!is_solid_node[i + nx*j]) f[i + nx*j + nx*ny*k] = fN[i + nx*j + nx*ny*k];
rho[i + nx*j] = f[i + nx*j + nx*ny * 0] + f[i + nx*j + nx*ny * 1]
+ f[i + nx*j + nx*ny * 2] + f[i + nx*j + nx*ny * 3] + f[i + nx*j + nx*ny * 4]
+ f[i + nx*j + nx*ny * 5] + f[i + nx*j + nx*ny * 6] + f[i + nx*j + nx*ny * 7]
+ f[i + nx*j + nx*ny * 8];
Ux[i + nx*j] = f[i + nx*j + nx*ny * 1] * ex[1] + f[i + nx*j + nx*ny * 3] * ex[3]
+ f[i + nx*j + nx*ny * 5] * ex[5] + f[i + nx*j + nx*ny * 6] * ex[6] + f[i + nx*j + nx*ny * 7] * ex[7]
+ f[i + nx*j + nx*ny * 8] * ex[8];
Uy[i + nx*j] = f[i + nx*j + nx*ny * 2] * ey[2] + f[i + nx*j + nx*ny * 4] * ey[4]
+ f[i + nx*j + nx*ny * 5] * ey[5] + f[i + nx*j + nx*ny * 6] * ey[6] + f[i + nx*j + nx*ny * 7] * ey[7]
+ f[i + nx*j + nx*ny * 8] * ey[8];
Ux[i + nx*j] /= rho[i + nx*j];
Uy[i + nx*j] /= rho[i + nx*j];
U[i + nx*j] = sqrt(pow(Ux[i + nx*j], 2) + pow(Uy[i + nx*j], 2));
}
void LBM_GPU::Update() {
dim3 dimBlock(BLOCK_SIZE_X, BLOCK_SIZE_Y, BLOCK_SIZE_Z);
dim3 dimGrid((nx + BLOCK_SIZE_X - 1) / BLOCK_SIZE_X, (ny + BLOCK_SIZE_Y - 1) / BLOCK_SIZE_Y, (a + BLOCK_SIZE_Z - 1) / BLOCK_SIZE_Z);
Kernel_Update << < dimGrid, dimBlock >> > (d_fN, d_f, d_Ux, d_Uy, d_U, d_rho, d_ex, d_ey, nx, ny, a, d_is_solid_node);
}
void LBM_GPU::Momentum() {
cudaMemcpy(f, d_f, nx*ny*a * sizeof(float), cudaMemcpyDeviceToHost);
sum_Fx1 = 0.0;
sum_Fx3 = 0.0;
sum_Fx5 = 0.0;
sum_Fx6 = 0.0;
sum_Fx7 = 0.0;
sum_Fx8 = 0.0;
sum_Fy2 = 0.0;
sum_Fy4 = 0.0;
sum_Fy5 = 0.0;
sum_Fy6 = 0.0;
sum_Fy7 = 0.0;
sum_Fy8 = 0.0;
sum_Fx = 0.0;
sum_Fy = 0.0;
Fx = 0.0;
Fy = 0.0;
Cd = 0.0;
Cl = 0.0;
for (i = 0; i < nx; i++) {
for (j = 0; j < ny; j++) {
sum_Fx1 = 0.0;
sum_Fx3 = 0.0;
sum_Fx5 = 0.0;
sum_Fx6 = 0.0;
sum_Fx7 = 0.0;
sum_Fx8 = 0.0;
sum_Fy2 = 0.0;
sum_Fy4 = 0.0;
sum_Fy5 = 0.0;
sum_Fy6 = 0.0;
sum_Fy7 = 0.0;
sum_Fy8 = 0.0;
sum_Fx = 0.0;
sum_Fy = 0.0;
in = i - 1;
ip = i + 1;
jn = j - 1;
jp = j + 1;
dist = sqrt(pow((float)i - ic, 2) + pow((float)j - jc, 2));
q = dist - r;
if (!is_boundary_node[i + nx*j]) {
if (!is_solid_node[i + nx*j]) {
if (is_solid_near_node[i + nx*j]) {
if (is_solid_node[ip + nx*j]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 3] = 2.0 * q * f[i + nx*j + nx*ny * 1] + (1.0 - 2.0*q)*f[(i - 1) + nx*j + nx*ny * 1];
else ftemp[i + nx*j + nx*ny * 3] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 1] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 3];
sum_Fx1 = ex[1] * (ftemp[i + nx*j + nx*ny * 3] + f[i + nx*j + nx*ny * 1]);
}
if (is_solid_node[i + nx*jp]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 4] = 2.0 * q * f[i + nx*j + nx*ny * 2] + (1.0 - 2.0*q)*f[i + nx*(j - 1) + nx*ny * 2];
else ftemp[i + nx*j + nx*ny * 4] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 2] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 4];
sum_Fy2 = ey[2] * (ftemp[i + nx*j + nx*ny * 4] + f[i + nx*j + nx*ny * 2]);
}
if (is_solid_node[in + nx*j]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 1] = 2.0 * q * f[i + nx*j + nx*ny * 3] + (1.0 - 2.0*q)*f[(i + 1) + nx*j + nx*ny * 3];
else ftemp[i + nx*j + nx*ny * 1] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 3] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 1];
sum_Fx3 = ex[3] * (ftemp[i + nx*j + nx*ny * 1] + f[i + nx*j + nx*ny * 3]);
}
if (is_solid_node[i + nx*jn]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 2] = 2.0 * q * f[i + nx*j + nx*ny * 4] + (1.0 - 2.0*q)*f[i + nx*(j + 1) + nx*ny * 4];
else ftemp[i + nx*j + nx*ny * 2] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 4] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 2];
sum_Fy4 = ey[4] * (ftemp[i + nx*j + nx*ny * 2] + f[i + nx*j + nx*ny * 4]);
}
if (is_solid_node[ip + nx*jp]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 7] = 2.0 * q * f[i + nx*j + nx*ny * 5] + (1.0 - 2.0*q)*f[(i - 1) + nx*(j - 1) + nx*ny * 5];
else ftemp[i + nx*j + nx*ny * 7] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 5] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 7];
sum_Fx5 = ex[5] * (ftemp[i + nx*j + nx*ny * 7] + f[i + nx*j + nx*ny * 5]);
sum_Fy5 = ey[5] * (ftemp[i + nx*j + nx*ny * 7] + f[i + nx*j + nx*ny * 5]);
}
if (is_solid_node[in + nx*jp]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 8] = 2.0 * q * f[i + nx*j + nx*ny * 6] + (1.0 - 2.0*q)*f[(i + 1) + nx*(j - 1) + nx*ny * 6];
else ftemp[i + nx*j + nx*ny * 8] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 6] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 8];
sum_Fx6 = ex[6] * (ftemp[i + nx*j + nx*ny * 8] + f[i + nx*j + nx*ny * 6]);
sum_Fy6 = ey[6] * (ftemp[i + nx*j + nx*ny * 8] + f[i + nx*j + nx*ny * 6]);
}
if (is_solid_node[in + nx*jn]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 5] = 2.0 * q * f[i + nx*j + nx*ny * 7] + (1.0 - 2.0*q)*f[(i + 1) + nx*(j + 1) + nx*ny * 7];
else ftemp[i + nx*j + nx*ny * 5] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 7] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 5];
sum_Fx7 = ex[7] * (ftemp[i + nx*j + nx*ny * 5] + f[i + nx*j + nx*ny * 7]);
sum_Fy7 = ey[7] * (ftemp[i + nx*j + nx*ny * 5] + f[i + nx*j + nx*ny * 7]);
}
if (is_solid_node[ip + nx*jn]) {
if (q < 0.5) ftemp[i + nx*j + nx*ny * 6] = 2.0 * q * f[i + nx*j + nx*ny * 8] + (1.0 - 2.0*q)*f[(i - 1) + nx*(j + 1) + nx*ny * 8];
else ftemp[i + nx*j + nx*ny * 6] = (1.0 / (2.0*q))*f[i + nx*j + nx*ny * 8] + (2.0*q - 1.0) / (2.0*q)*f[i + nx*j + nx*ny * 6];
sum_Fx8 = ex[8] * (ftemp[i + nx*j + nx*ny * 6] + f[i + nx*j + nx*ny * 8]);
sum_Fy8 = ey[8] * (ftemp[i + nx*j + nx*ny * 6] + f[i + nx*j + nx*ny * 8]);
}
sum_Fx = sum_Fx1 + sum_Fx3 + sum_Fx5 + sum_Fx6 + sum_Fx7 + sum_Fx8;
sum_Fy = sum_Fy2 + sum_Fy4 + sum_Fy5 + sum_Fy6 + sum_Fy7 + sum_Fy8;
Fx = Fx + sum_Fx;
Fy = Fy + sum_Fy;
}
}
}
}
}
Cd = 2.0*Fx / (rho1*pow((2.0 / 3.0)*Um, 2)*snx);
Cl = 2.0*Fy / (rho1*pow((2.0 / 3.0)*Um, 2)*sny);
fout_GPU_Cd << Cd << "\t" << Cl << endl;
}
void LBM_GPU::Print() {
cudaMemcpy(Ux, d_Ux, nx*ny * sizeof(float), cudaMemcpyDeviceToHost);
cudaMemcpy(Uy, d_Uy, nx*ny * sizeof(float), cudaMemcpyDeviceToHost);
cudaMemcpy(U, d_U, nx*ny * sizeof(float), cudaMemcpyDeviceToHost);
cudaMemcpy(rho, d_rho, nx*ny * sizeof(float), cudaMemcpyDeviceToHost);
// ============================================================================ //
// CHANGE LBM -> PHYSICAL
// ============================================================================ //
for (j = 0; j < ny; j++) {
for (i = 0; i < nx; i++) {
Ux_p[i + nx*j] = Ux[i + nx*j];
Uy_p[i + nx*j] = Uy[i + nx*j];
U_p[i + nx*j] = U[i + nx*j];
P[i + nx*j] = rho[i + nx*j] / (3.0);
}
}
// ============================================================================ //
fout_GPU << endl;
fout_GPU << "variables = X Y Ux Uy U rho P" << endl;
fout_GPU << "zone i=" << nx << " j=" << ny << endl;
for (j = 0; j < ny; j++) {
for (i = 0; i < nx; i++) {
fout_GPU << i << "\t" << j << "\t" << Ux[i + nx*j] << "\t" << Uy[i + nx*j] << "\t"
<< U[i + nx*j] << "\t" << rho[i + nx*j] << "\t" << P[i + nx*j] << endl;
}
}
fout_GPU << endl;
i = 0;
fout_GPU_Ux << "variables = X Y Ux" << endl;
fout_GPU_Ux << "zone i=" << nx << " j=" << ny << endl;
for (j = 0; j < ny; j++) {
fout_GPU_Ux << i << "\t" << j << "\t" << Ux[i + nx*j] << endl;
}
fout_GPU_Ux << endl;
}
LBM_GPU::~LBM_GPU()
{
cudaFree(d_Ux0);
cudaFree(d_is_boundary_node);
cudaFree(d_is_solid_node);
cudaFree(d_f);
cudaFree(d_fN);
cudaFree(d_ftemp);
cudaFree(d_feq);
cudaFree(d_Ux);
cudaFree(d_Uy);
cudaFree(d_rho);
cudaFree(d_ex);
cudaFree(d_ey);
cudaFree(d_U);
cudaFree(d_UN);
cudaFree(d_UxN);
cudaFree(d_UyN);
cudaFree(rhoN);
delete[] Ux0;
delete[] Ux0_p;
delete[] P;
delete[] Uy_p;
delete[] Ux_p;
delete[] U_p;
delete[] ey;
delete[] ex;
delete[] fN;
delete[] feq;
delete[] ftemp;
delete[] f;
delete[] rhoN;
delete[] UyN;
delete[] UxN;
delete[] UN;
delete[] rho;
delete[] Uy;
delete[] Ux;
delete[] U;
delete[] is_boundary_node;
delete[] is_solid_node;
delete[] is_solid_near_node;
cout << endl << "Done!" << endl;
}
|
4,439 | #include <stdio.h>
#include <stdlib.h>
#define MAX_NONCE 1000000000 // 100000000000
//char* tohexadecimal
void mine(long blockNum, char *trans, char *preHash, int prefixZero){
//char prefix[] = "0000" ;
for(int i = 0; i < MAX_NONCE; i++){
//printf("mining...\n") ;
srand(i*blockNum*(trans[0])*(preHash[0]));
int count = 0 ;
for(int j = 0; j < prefixZero; j++){
if(rand() % 10 == 0){
count++ ;
}
}
if (count == prefixZero){
//printf("found, nonce = %d\n", i) ;
}
//printf("%d\n", rand() % 10);
}
}
int main(){
char trans[] = "A-20->B,b-10->C" ;
char preHash[] = "0000000xa036944e29568d0cff17edbe038f81208fecf9a66be9a2b8321c6ec7" ;
int difficulty = 4 ;
cudaEvent_t start, stop ;
cudaEventCreate(&start) ;
cudaEventCreate(&stop) ;
cudaEventRecord(start) ;
mine(1, trans, preHash, difficulty) ;
cudaEventRecord(stop) ;
cudaEventSynchronize(stop) ;
float millisec = 0 ;
cudaEventElapsedTime(&millisec, start, stop) ;
printf("Time used: %f\n", millisec) ;
printf("end\n") ;
return 0 ;
}
|
4,440 | #include <iostream>
#define N 512
__global__ void dot(int *a, int *b, int *c) {
__shared__ int temp[N];
temp[threadIdx.x] = a[threadIdx.x] * b[threadIdx.x];
__syncthreads();
if (0 == threadIdx.x) {
int sum = 0;
for(int i = 0; i < N; i++)
sum += temp[i];
*c = sum;
}
}
void random_ints(int *a, int size) {
for (int i = 0; i < size; i++) {
a[i] = rand() % 10;
}
}
int main( void ) {
srand(10);
int *a, *b, *c;
int *dev_a, *dev_b, *dev_c;
int size = N * sizeof(int);
cudaMalloc((void**)&dev_a, size);
cudaMalloc((void**)&dev_b, size);
cudaMalloc((void**)&dev_c, sizeof(int));
a = (int *)malloc(size);
b = (int *)malloc(size);
c = (int *)malloc(sizeof(int));
random_ints(a, N);
random_ints(b, N);
// копируем ввод на device
cudaMemcpy(dev_a, a, size, cudaMemcpyHostToDevice);
cudaMemcpy(dev_b, b, size, cudaMemcpyHostToDevice);
//запускаем на выполнение dot() kernel с 1 блоком и N тредами
dot<<<1, N>>>(dev_a, dev_b, dev_c);
//копируем результат работы device на host копией c
cudaMemcpy(c, dev_c, sizeof(int) , cudaMemcpyDeviceToHost);
for (int i = 0; i < N; i++) {
std::cout << a[i] << " " << b[i]<< "\n";
}
std::cout << *c << "\n";
free(a); free(b); free(c);
cudaFree(dev_a);
cudaFree(dev_b);
cudaFree(dev_c);
return 0;
} |
4,441 | #include "includes.h"
extern "C" {
}
const double TOLERANCE = 1.0e-10;
/*
cgsolver with CUDA support solves the linear equation A*x = b where A is of size m x n
*/
__global__ void mvm_gpu(double *A_cuda, double *X_cuda, double *Y_cuda, int *m_locals_cuda, int *A_all_pos_cuda, int n, int nthreads){
int t = blockIdx.x * blockDim.x + threadIdx.x;
if (t < nthreads){
for (int i=A_all_pos_cuda[t]; i<A_all_pos_cuda[t]+m_locals_cuda[t]; ++i) {
Y_cuda[i] = 0.;
for (int j=0; j<n; ++j)
Y_cuda[i] += A_cuda[i * n + j] * X_cuda[j];
}
}
} |
4,442 | #include <stdio.h>
#include <time.h>
__global__ void vecAdd(int *a, int *b, int *c, int length){
int tid = blockIdx.x*blockDim.x + threadIdx.x;
if(tid < length)
c[tid] = a[tid] + b[tid];
}
int main(int argc, char* argv[]){
int size = 16384;
int *a,*b,*c;
int *dev_a,*dev_b,*dev_c;
int totalSize = size*sizeof(int);
int idx;
//timemeasure
cudaEvent_t start,stop;
cudaEventCreate(&start);
cudaEventCreate(&stop);
float time_128,time_256,time_512;
cudaMalloc((void**)&dev_a,totalSize);
cudaMalloc((void**)&dev_b,totalSize);
cudaMalloc((void**)&dev_c,totalSize);
a = (int*) malloc(totalSize);
b = (int*) malloc(totalSize);
c = (int*) malloc(totalSize);
for(idx=0;idx<size;idx++){
a[idx] = idx;
b[idx] = idx+1;
}
cudaMemcpy(dev_a,a,totalSize,cudaMemcpyHostToDevice);
cudaMemcpy(dev_b,b,totalSize,cudaMemcpyHostToDevice);
cudaEventRecord(start,0);
vecAdd<<<512,32>>>(dev_a,dev_b,dev_c,size);
cudaEventRecord(stop,0);
cudaEventSynchronize(stop);
cudaEventElapsedTime(&time_512,start,stop);
printf("time for 512 blocks of 32 threads : %f",time_512);
cudaMemcpy(c,dev_c,totalSize,cudaMemcpyDeviceToHost);
for(idx=0;idx<size;idx+=size/5)
printf("\n%i+%i=%i\n",a[idx],b[idx],c[idx]);
cudaEventRecord(start,0);
vecAdd<<<256,64>>>(dev_a,dev_b,dev_c,size);
cudaEventRecord(stop,0);
cudaEventSynchronize(stop);
cudaEventElapsedTime(&time_256,start,stop);
printf("time for 256 blocks of 64 threads : %f",time_256);
cudaMemcpy(c,dev_c,totalSize,cudaMemcpyDeviceToHost);
for(idx=0;idx<size;idx+=size/5)
printf("\n%i+%i=%i\n",a[idx],b[idx],c[idx]);
cudaEventRecord(start,0);
vecAdd<<<128,128>>>(dev_a,dev_b,dev_c,size);
cudaEventRecord(stop,0);
cudaEventSynchronize(stop);
cudaEventElapsedTime(&time_128,start,stop);
printf("time for 128 blocks of 128 threads : %f",time_128);
cudaMemcpy(c,dev_c,totalSize,cudaMemcpyDeviceToHost);
for(idx=0;idx<size;idx+=size/5)
printf("\n%i+%i=%i\n",a[idx],b[idx],c[idx]);
free(a);
free(b);
free(c);
cudaFree(dev_a);
cudaFree(dev_b);
cudaFree(dev_c);
cudaEventDestroy(start);
cudaEventDestroy(stop);
return 0;
}
|
4,443 | #include "includes.h"
__global__ void float4toUchar4(float4 *inputImage, uchar4 *outputImage, int width, int height) {
int offsetBlock = blockIdx.x * blockDim.x + blockIdx.y * blockDim.y * width;
int offset = offsetBlock + threadIdx.x + threadIdx.y * width;
float4 pixelf = inputImage[offset];
uchar4 pixel;
pixel.x = (unsigned char) pixelf.x;
pixel.y = (unsigned char) pixelf.y;
pixel.z = (unsigned char) pixelf.z;
pixel.w = (unsigned char) pixelf.w;
outputImage[offset] = pixel;
} |
4,444 | // https://devblogs.nvidia.com/even-easier-introduction-cuda/
#include "cuda_runtime.h"
#include "device_launch_parameters.h"
#include <stdio.h>
#include <iostream>
#include <math.h>
cudaError_t addWithCuda(int *c, const int *a, const int *b, unsigned int size);
__global__ void addKernel(int *c, const int *a, const int *b)
{
int i = threadIdx.x;
c[i] = a[i] + b[i];
}
__global__
void add(int n, float * x, float *y)
{
for (int i = 0; i < n; i++)
{
y[i] = x[i] + y[i];
}
}
__global__
void add2(int n, float *x, float *y)
{
int index = threadIdx.x;
int stride = blockDim.x;
for (int i = 0; i < n; i+=stride)
{
y[i] = x[i] + y[i];
}
}
__global__
void add3(int n, float *x, float *y)
{
int index = blockIdx.x * blockDim.x + threadIdx.x;
int stride = blockDim.x * gridDim.x;
for (int i = index; i < n; i+=stride)
{
y[i] = x[i] + y[i];
}
}
int main()
{
const int arraySize = 5;
const int a[arraySize] = { 1, 2, 3, 4, 5 };
const int b[arraySize] = { 10, 20, 30, 40, 50 };
int c[arraySize] = { 0 };
// Add vectors in parallel.
cudaError_t cudaStatus = addWithCuda(c, a, b, arraySize);
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "addWithCuda failed!");
return 1;
}
printf("{1,2,3,4,5} + {10,20,30,40,50} = {%d,%d,%d,%d,%d}\n",
c[0], c[1], c[2], c[3], c[4]);
// cudaDeviceReset must be called before exiting in order for profiling and
// tracing tools such as Nsight and Visual Profiler to show complete traces.
cudaStatus = cudaDeviceReset();
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaDeviceReset failed!");
return 1;
}
printf("below is our codes:\n");
int N = 1 << 20;
float *x, *y;
cudaMallocManaged(&x, N * sizeof(float));
cudaMallocManaged(&y, N * sizeof(float));
// initialize x and y arrays on the host
for (int i = 0; i < N; i++) {
x[i] = 1.0f;
y[i] = 2.0f;
}
add <<<1, 1 >>> (N, x, y);
// Wait for GPU to finish before accessing on host
cudaDeviceSynchronize();
/*for (auto i : *y)
{
std::cout << i << " ";
}
std::cout << std::endl;*/
std::cout <<"Result is" << *y << std::endl;
// Check for errors (all values should be 3.0f)
float maxError = 0.0f;
for (int i = 0; i < N; i++)
maxError = fmax(maxError, fabs(y[i] - 3.0f));
std::cout << "Max error: " << maxError << std::endl;
;
// Free memory
cudaFree(x);
cudaFree(y);
//---------------------------
int N2 = 1 << 20;
float *x2, *y2;
cudaMallocManaged(&x2, N2 * sizeof(float));
cudaMallocManaged(&y2, N2 * sizeof(float));
// initialize x and y arrays on the host
for (int i = 0; i < N2; i++) {
x2[i] = 1.0f;
y2[i] = 2.0f;
}
add2 <<<1, 256 >>> (N2, x2, y2);
// Wait for GPU to finish before accessing on host
cudaDeviceSynchronize();
std::cout << "Result2 is " << *y2 << std::endl;
// Free memory
cudaFree(x2);
cudaFree(y2);
//---------------------------
int N3 = 1 << 20;
float *x3, *y3;
cudaMallocManaged(&x3, N3 * sizeof(float));
cudaMallocManaged(&y3, N3 * sizeof(float));
// initialize x and y arrays on the host
for (int i = 0; i < N3; i++) {
x3[i] = 4.0f;
y3[i] = 2.0f;
}
add2 <<<1, 256 >>> (N3, x3, y3);
// Wait for GPU to finish before accessing on host
cudaDeviceSynchronize();
std::cout << "Result3 is " << *y3 << std::endl;
// Free memory
cudaFree(x3);
cudaFree(y3);
int N4 = 1 << 20;
float *x4, *y4;
int blocksize = 256;
int numofblock = (N4 + blocksize - 1) / blocksize;
cudaMallocManaged(&x4, N4 * sizeof(float));
cudaMallocManaged(&y4, N4 * sizeof(float));
// initialize x and y arrays on the host
for (int i = 0; i < N4; i++) {
x4[i] = 4.0f;
y4[i] = 9.0f;
}
add3 <<<numofblock, blocksize >>> (N4, x4, y4);
cudaDeviceSynchronize();
std::cout << "Result4 is " << *y4 << std::endl;
// Free memory
cudaFree(x4);
cudaFree(y4);
return 0;
}
// Helper function for using CUDA to add vectors in parallel.
cudaError_t addWithCuda(int *c, const int *a, const int *b, unsigned int size)
{
int *dev_a = 0;
int *dev_b = 0;
int *dev_c = 0;
cudaError_t cudaStatus;
// Choose which GPU to run on, change this on a multi-GPU system.
cudaStatus = cudaSetDevice(0);
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaSetDevice failed! Do you have a CUDA-capable GPU installed?");
goto Error;
}
// Allocate GPU buffers for three vectors (two input, one output) .
cudaStatus = cudaMalloc((void**)&dev_c, size * sizeof(int));
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaMalloc failed!");
goto Error;
}
cudaStatus = cudaMalloc((void**)&dev_a, size * sizeof(int));
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaMalloc failed!");
goto Error;
}
cudaStatus = cudaMalloc((void**)&dev_b, size * sizeof(int));
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaMalloc failed!");
goto Error;
}
// Copy input vectors from host memory to GPU buffers.
cudaStatus = cudaMemcpy(dev_a, a, size * sizeof(int), cudaMemcpyHostToDevice);
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaMemcpy failed!");
goto Error;
}
cudaStatus = cudaMemcpy(dev_b, b, size * sizeof(int), cudaMemcpyHostToDevice);
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaMemcpy failed!");
goto Error;
}
// Launch a kernel on the GPU with one thread for each element.
addKernel<<<1, size>>>(dev_c, dev_a, dev_b);
// Check for any errors launching the kernel
cudaStatus = cudaGetLastError();
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "addKernel launch failed: %s\n", cudaGetErrorString(cudaStatus));
goto Error;
}
// cudaDeviceSynchronize waits for the kernel to finish, and returns
// any errors encountered during the launch.
cudaStatus = cudaDeviceSynchronize();
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaDeviceSynchronize returned error code %d after launching addKernel!\n", cudaStatus);
goto Error;
}
// Copy output vector from GPU buffer to host memory.
cudaStatus = cudaMemcpy(c, dev_c, size * sizeof(int), cudaMemcpyDeviceToHost);
if (cudaStatus != cudaSuccess) {
fprintf(stderr, "cudaMemcpy failed!");
goto Error;
}
Error:
cudaFree(dev_c);
cudaFree(dev_a);
cudaFree(dev_b);
return cudaStatus;
}
|
4,445 |
#include <cuda.h>
#include <cuda_runtime.h>
__global__ void addKernel01(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel02(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel03(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel04(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel05(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[i] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel06(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel07(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[48 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel08(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[32 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel09(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[40 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel10(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[16 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
}
__global__ void addKernel11(int *c, int *a, int *b, int repeat)
{
__shared__ unsigned char s[8 * 1024];
int i = threadIdx.x;
int j = i;
for (int n = 0; n < repeat; n++) s[i % 64] = 1;
for (int n = 0; n < repeat; n++) c[j] = a[i] + b[i] + s[i % 64];
} |
4,446 | // Undone
__global__ void reduction_variance( double *h_input, double *h_output, double mean, int ARRAY_SIZE, int ARRAY_BYTES ){
// Create, Allocate, Calculate, Free Memory, and Return
return;
}
|
4,447 | float h_A[]= {
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0.6747897539401984, 0.5236276272868565, 0.6321644118773123, 0.9624420156066794, 0.9291293214959884, 0.7111834587029189, 0.9050451603278367, 0.7549433639829841, 0.7465902593661318, 0.5117452863953508, 0.8803625394965805, 0.6118376209350819, 0.5574962578021898, 0.9624029637154977, 0.7725756405209483, 0.9382983310613413, 0.6797603981898187, 0.8337443535599166, 0.5011364745935383, 0.9872448730543374, 0.9171690725986543, 0.76183285947949, 0.7182726794529586, 0.6007925176619024, 0.5527609929665667, 0.6481070189990576, 0.5923636300765208, 0.8160503818425161, 0.9365102746553231, 0.7736981245224566, 0.7605648722619249, 0.9333626932365386, 0.9429610555191514, 0.5043671038711677, 0.5476375593488494, 0.5310417732620699, 0.5774709694161161, 0.7385516946790663, 0.5877739457577427, 0.9256266139759437, 0.7962619015551782, 0.8754419641703729, 0.8765639391957611, 0.654655614945783, 0.9231079357863452, 0.8093617469980275, 0.8588536646513388, 0.5591409388183455, 0.741028531502632, 0.7312108590993045, 0.5736171872670586, 0.7187736157572833, 0.6015910393121435, 0.534899529057655, 0.5767132051203742, 0.8905323441159252, 0.6922778194543302, 0.8453038270329627, 0.8669898704269228, 0.5428270939327391, 0.8661444394915716, 0.8830107157278955, 0.9876224128038178, 0.5811299277648962, 0.7781082673772666, 0.5097534793480623, 0.7569348680852335, 0.6546845271066593, 0.86870427625371, 0.9616573844450222, 0.6305346824435085, 0.6405519580314807, 0.9200128288876654, 0.7648767813417923, 0.5531160630750107, 0.9220135124141662, 0.6929278667161934, 0.5584234960279145, 0.5387445417642096, 0.686403833662957, 0.7659965646883253, 0.5841663299763712, 0.8812106990087814, 0.988240266704844, 0.7277822889748686, 0.6816443009469657, 0.9201240441023447, 0.6721073479997417, 0.7471859813903733, 0.9464619717742093, 0.5309995436902474, 0.9614579971518027, 0.9887745003271984, 0.7254534708646083, 0.8333981559377882, 0.9356436616740794, 0.5725651809884322, 0.838048478558742, 0.5764073651419267, 0.921812457449674, 0.940849632853658, 0.9396440691268897, 0.8577122482380009, 0.717610942755937, 0.512712909920964, 0.6469906333971966, 0.986267505187467, 0.7880970967187115, 0.6983222586747296, 0.7357727349744225, 0.5664123365399178, 0.5972293300899021, 0.6372399359254891, 0.6902656000162729, 0.9856134643247783, 0.5161614789501192, 0.5198535566155821, 0.5526549599157097, 0.9007760272218424, 0.8633098539816491, 0.9043213574466145, 0.8017890864570727, 0.8057948263693244, 0.7953305125438946, 0.8941531905803687, 0.806127569893911, 0.669253525834529, 0.931567674007615, 0.5898262666106988, 0.7664128203562691, 0.6898371281098495, 0.9402131172476212, 0.5462007161232376, 0.9037662490342141, 0.9833009791944044, 0.502334176557468, 0.7651728070828656, 0.5561600844770741, 0.9170540416236816, 0.8904206703882754, 0.8489861234077738, 0.889188792948248, 0.8125805560867925, 0.7092042592242037, 0.5764236086928209, 0.7427072202163683, 0.8733994740765748, 0.8845297565439765, 0.7341032469184819, 0.5826668524448593, 0.6783470874106791, 0.6700269846325348, 0.6089757562849996, 0.9577350224777994, 0.7940954322166751, 0.5775897570998443, 0.6153981228436263, 0.6105658739460591, 0.8033255490555549, 0.739868340261403, 0.6984376231430982, 0.693582907818113, 0.6869706669139439, 0.9303894726374518, 0.9180504565164317, 0.8105272859805797, 0.8889374703572381, 0.8552879374946907, 0.7774253530234071, 0.7458637027518951, 0.7776549998002066, 0.8338397116087878, 0.7686071110511765, 0.8332084800751365, 0.7447386506371092, 0.7249771186928371, 0.7932199758840237, 0.6299717672171834, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0};
int h_B[]= {
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198, 200, 202, 204, 206, 208, 210, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254, 256, 258, 260, 262, 264, 266, 268, 270, 272, 274, 276, 278, 280, 282, 284, 286, 288, 290, 292, 294, 296, 298, 300, 302, 304, 306, 308, 310, 312, 314, 316, 318, 320, 322, 324, 326, 328, 330, 332, 334, 336, 338, 340, 342, 344, 346, 348, 350, 352, 354, 356, 358, 360, 362, 364, 366, 368, 370, 372, 375, 377, 379, 381, 383, 385, 387, 389, 391, 393, 396, 398, 400, 402, 404, 406, 410, 412, 414, 416, 418, 420, 422, 424, 426, 428, 430, 432, 434, 436, 438, 440, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 482, 484, 486, 488, 490, 492, 495, 497, 499, 501, 503, 505, 507, 509, 511, 513, 515, 517, 519, 521, 524, 526, 528, 530, 532, 534, 536, 538, 540, 542, 544, 546, 548, 550, 552, 554, 556, 558, 560, 562, 564, 566, 568, 570, 573, 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 595, 597, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 654, 656, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 752, 754, 756, 758, 761, 763, 765, 767, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 836, 838, 840, 842, 846, 848, 850, 852, 854, 856, 859, 861, 863, 865, 868, 870, 873, 875, 880, 882, 884, 886, 888, 890, 893, 895, 897, 899, 901, 903, 905, 907, 909, 911, 913, 915, 918, 920, 923, 925, 928, 930, 933, 935, 938, 940, 942, 944, 947, 949, 952, 954, 959, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1001, 1003, 1005, 1007, 1009, 1011, 1013, 1015, 1017, 1019, 1021, 1023, 1025, 1027, 1029, 1031, 1033, 1035, 1037, 1040, 1042, 1044, 1046, 1049, 1051, 1053, 1055, 1057, 1059, 1061, 1063, 1065, 1067, 1069, 1071, 1073, 1075, 1077, 1079, 1082, 1084, 1086, 1088, 1092, 1094, 1096, 1098, 1100, 1102, 1104, 1106, 1108, 1110, 1112, 1114, 1116, 1118, 1120, 1122, 1125, 1127, 1129, 1131, 1133, 1135, 1137, 1139, 1142, 1144, 1147, 1149, 1152, 1154, 1157, 1159, 1165, 1167, 1170, 1172, 1175, 1177, 1180, 1182, 1185, 1187, 1189, 1191, 1193, 1195, 1198, 1200, 1203, 1205, 1207, 1209, 1211, 1213, 1215, 1217, 1219, 1221, 1223, 1225, 1227, 1229, 1231, 1233, 1236, 1238, 1240, 1242, 1244, 1246, 1248, 1250, 1252, 1254, 1257, 1259, 1261, 1263, 1265, 1267, 1269, 1271, 1273, 1275, 1277, 1279, 1281, 1283, 1285, 1287, 1289, 1291, 1293, 1295, 1297, 1299, 1301, 1303, 1306, 1308, 1310, 1312, 1314, 1316, 1318, 1320, 1322, 1324, 1326, 1328, 1330, 1332, 1334, 1336, 1338, 1340, 1342, 1344, 1346, 1348, 1350, 1352, 1354, 1356, 1358, 1360, 1362, 1364, 1366, 1368, 1370, 1372, 1374, 1376, 1379, 1381, 1383, 1385, 1387, 1389, 1391, 1393, 1396, 1398, 1400, 1402, 1405, 1407, 1409, 1411, 1413, 1415, 1417, 1419, 1421, 1423, 1425, 1427, 1430, 1432, 1434, 1436, 1438, 1440, 1443, 1445, 1448, 1450, 1456, 1458, 1461, 1463, 1467, 1469, 1471, 1473, 1475, 1477, 1480, 1482, 1485, 1487, 1490, 1492, 1495, 1497, 1500, 1502, 1505, 1507, 1510, 1512, 1514, 1516, 1518, 1520, 1523, 1525, 1527, 1529, 1531, 1533, 1535, 1537, 1539, 1541, 1543, 1545, 1547, 1549, 1551, 1553, 1555, 1557, 1560, 1562, 1564, 1566, 1569, 1571, 1574, 1576, 1581, 1583, 1586, 1588, 1591, 1593, 1596, 1598, 1601, 1603, 1606, 1608, 1611, 1613, 1616, 1618, 1621, 1623, 1626, 1628, 1631, 1633, 1156, 1156, 1164, 1162, 1161, 1164, 1162, 1161, 1590, 1455, 1453, 409, 408, 1590, 1455, 1453, 1455, 1453, 1578, 1573, 1585, 1504, 1509, 1455, 1453, 1455, 1453, 409, 408, 1455, 1453, 1455, 1453, 409, 408, 1453, 1455, 1455, 1453, 1504, 1509, 1479, 1489, 1479, 1489, 1635, 1630, 1585, 1455, 1453, 1455, 1453, 1465, 1460, 1455, 1453, 1455, 1453, 1465, 1460, 1455, 1453, 1455, 1453, 409, 408, 1455, 1453, 1455, 1453, 1455, 1453, 1455, 1453, 1378, 1504, 1509, 1504, 1509, 1378, 1504, 1509, 1504, 1509, 1578, 1573, 1585, 1590, 1578, 1573, 1585, 1590, 1630, 1635, 1635, 1630, 1578, 1573, 1585, 1590, 946, 958, 1455, 1453, 1489, 1489, 1504, 1509, 1504, 1509, 1578, 1573, 1578, 1573, 1585, 1590, 1578, 1573, 1578, 1573, 1585, 1590, 1580, 1305, 858, 858, 845, 845, 879, 879, 958, 946, 946, 958, 1141, 1141, 1091, 1091, 1164, 1162, 1164, 1162, 1164, 1162, 1164, 1162, 1455, 1453, 1479, 1479, 1479, 1489, 1479, 1489, 1455, 1453, 1305, 1509, 1509, 1504, 1504, 1455, 1453, 1455, 1453, 1455, 1453, 1455, 1453, 1635, 1630, 1635, 1630, 1580, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3136, 3138, 3140, 3142, 3144, 3146, 3148, 3150, 3152, 3154, 3156, 3158, 3160, 3162, 3164, 3166, 3168, 3170, 3172, 3174, 3176, 3178, 3180, 3182, 3184, 3186, 3188, 3190, 3192, 3194, 3196, 3198, 3200, 3202, 3204, 3206, 3208, 3210, 3212, 3214, 3216, 3218, 3220, 3222, 3224, 3226, 3228, 3230, 3232, 3234, 3236, 3238, 3240, 3242, 3244, 3246, 3248, 3250, 3252, 3254, 3256, 3258, 3260, 3262, 3264, 3266, 3268, 3270, 3272, 3274, 3276, 3278, 3280, 3282, 3284, 3286, 3288, 3290, 3292, 3294, 3296, 3298, 3300, 3302, 3304, 3306, 3308, 3310, 3312, 3314, 3316, 3318, 3320, 3322, 3324, 3326, 3328, 3330, 3332, 3334, 3336, 3338, 3340, 3342, 3344, 3346, 3348, 3350, 3352, 3354, 3356, 3358, 3360, 3362, 3364, 3366, 3368, 3370, 3372, 3374, 3376, 3378, 3380, 3382, 3384, 3386, 3388, 3390, 3392, 3394, 3396, 3398, 3400, 3402, 3404, 3406, 3408, 3410, 3412, 3414, 3416, 3418, 3420, 3422, 3424, 3426, 3428, 3430, 3432, 3434, 3436, 3438, 3440, 3442, 3444, 3446, 3448, 3450, 3452, 3454, 3456, 3458, 3460, 3462, 3464, 3466, 3468, 3470, 3472, 3474, 3476, 3478, 3480, 3482, 3484, 3486, 3488, 3490, 3492, 3494, 3496, 3498, 3500, 3502, 3504, 3506, 3508, 3510, 3512, 3514, 3516, 3518, 3520, 3522, 3524, 3526, 3528, 3530, 3532, 3534, 3536, 3538, 3540, 3542, 3544, 3546, 3548, 3550, 3552, 3554, 3556, 3558, 3560, 3562, 3564, 3566, 3568, 3570, 3572, 3574, 3576, 3578, 3580, 3582, 3584, 3586, 3588, 3590, 3592, 3594, 3596, 3598, 3600, 3602, 3604, 3606, 3608, 3610, 3612, 3614, 3616, 3618, 3620, 3622, 3624, 3626, 3628, 3630, 3632, 3634, 3636, 3638, 3640, 3642, 3644, 3646, 3648, 3650, 3652, 3654, 3656, 3658, 3660, 3662, 3664, 3666, 3668, 3670, 3672, 3674, 3676, 3678, 3680, 3682, 3684, 3686, 3688, 3690, 3692, 3694, 3696, 3698, 3700, 3702, 3704, 3706, 3708, 3710, 3712, 3714, 3716, 3718, 3720, 3722, 3724, 3726, 3728, 3730, 3732, 3734, 3736, 3738, 3740, 3742, 3744, 3746, 3748, 3750, 3752, 3754, 3756, 3758, 3760, 3762, 3764, 3766, 3768, 3770, 3772, 3774, 3776, 3778, 3780, 3782, 3784, 3786, 3788, 3790, 3792, 3794, 3796, 3798, 3800, 3802, 3804, 3806, 3808, 3810, 3812, 3814, 3816, 3818, 3820, 3822, 3824, 3826, 3828, 3830, 3832, 3834, 3836, 3838, 3840, 3842, 3844, 3846, 3848, 3850, 3852, 3854, 3856, 3858, 3860, 3862, 3864, 3866, 3868, 3870, 3872, 3874, 3876, 3878, 3880, 3882, 3884, 3886, 3888, 3890, 3892, 3894, 3896, 3898, 3900, 3902, 3904, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 877, 872, 4099, 858, 927, 922, 956, 951, 653, 653, 892, 1146, 1151, 1151, 1146, 1162, 1179, 1174, 658, 658, 927, 922, 4117, 956, 951, 927, 922, 1151, 1146, 1146, 1151, 658, 653, 1202, 1197, 4483, 4486, 1202, 1197, 1465, 1460, 1484, 1479, 1452, 1447, 4490, 4492, 1484, 1499, 1494, 4141, 4495, 1452, 1447, 4497, 1465, 1460, 1484, 1509, 4146, 4499, 1452, 1447, 1453, 1455, 1465, 1460, 4224, 1479, 1489, 1499, 1494, 4502, 1452, 1447, 4504, 1452, 1447, 4506, 1460, 4508, 1452, 1447, 4510, 1452, 1447, 4512, 1465, 4514, 1452, 1447, 1452, 1447, 1484, 1484, 1499, 1494, 1484, 1484, 1499, 1494, 1484, 1484, 1499, 1494, 1504, 4518, 1479, 1499, 1494, 1447, 1452, 1455, 1453, 1465, 1460, 4224, 1479, 1489, 1494, 1499, 4520, 1455, 1453, 1465, 1460, 4224, 4522, 4524, 4183, 4184, 4526, 4458, 1452, 1447, 4529, 1452, 1447, 4531, 4533, 4189, 1447, 1452, 4535, 1452, 1447, 4537, 4539, 4194, 1452, 1447, 4541, 1452, 1447, 4543, 1465, 1460, 4545, 1484, 1484, 1499, 1494, 1499, 1494, 1499, 1494, 1504, 1452, 1447, 4547, 1452, 1447, 4549, 1465, 1460, 4206, 1452, 1447, 4551, 1452, 1447, 4553, 1465, 1460, 4445, 1484, 1479, 1499, 1494, 1504, 1499, 1494, 1499, 1494, 1452, 1447, 1455, 1453, 1465, 1460, 4217, 1479, 1489, 1499, 1494, 4556, 1499, 1494, 4558, 1447, 1452, 1453, 1455, 1465, 1460, 4224, 1479, 1489, 1499, 1494, 4561, 1494, 1499, 4563, 4565, 4567, 1600, 4569, 4571, 1595, 1610, 1605, 1615, 1625, 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6486, 6487, 6488, 6489, 6490, 6491, 6492, 6494, 6496, 6497, 6498, 6499, 6500, 6501, 6502, 6503, 6504, 6505, 6506, 6507, 6508, 6509, 6510, 6511, 6512, 6513, 6514, 6515, 6518, 6520, 6521, 6522, 6523, 6524, 6526, 6527, 6528, 6529, 6531, 6532, 6533, 6534, 6535, 6536, 6537, 6538, 6539, 6540, 6541, 6542, 6543, 6544, 6546, 6548, 6549, 6550, 6552, 6553, 6554, 6555, 6556, 6557, 6558, 6559, 6560, 6561, 6562, 6563, 6564, 6565, 6566, 6567, 6568, 6569, 6570, 6571, 6573, 6575, 6576, 6577, 6579, 6580, 6581, 6582, 6583, 6584, 6585, 6268, 6266, 6349, 6347, 6393, 6392, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 6592, 6594, 6597, 6605, 6607, 6609, 6611, 6614, 6617, 6620, 6625, 6627, 6630, 6638, 6640, 6642, 6644, 6647, 6650, 6653, 6658, 6660, 6663, 6671, 6673, 6675, 6677, 6680, 6683, 6686, 6688, 6691, 6694, 6697, 6698, 6703, 6715, 6717, 6720, 6723, 6730, 6732, 6734, 6736, 6750, 6756, 6759, 6762, 6763, 6768, 6782, 6784, 6786, 6788, 6797, 6800, 6803, 6812, 6815, 6821, 6823, 6825, 6829, 6832, 6835, 6838, 6844, 6849, 6852, 6862, 6866, 6869, 6872, 6873, 6878, 6888, 6890, 6893, 6899, 6901, 6904, 6907, 6911, 6914, 6917, 6925, 6930, 6932, 6935, 6946, 6951, 6953, 6956, 6959, 6966, 6970, 6975, 6977, 6980, 6994, 6999, 7001, 7004, 6603, 6601, 6624, 6636, 6634, 6657, 6669, 6667, 6690, 6701, 6706, 6708, 6710, 6712, 6714, 6727, 6729, 6744, 6742, 6740, 6746, 6748, 7019, 7020, 6753, 6755, 6766, 6771, 6773, 6775, 6777, 6779, 6781, 6796, 6794, 6792, 6807, 6809, 6811, 7021, 7022, 6818, 6820, 6842, 6847, 7023, 7024, 6855, 6857, 6861, 6859, 6921, 6876, 6881, 6880, 6883, 6885, 6887, 6897, 6921, 6923, 6928, 6939, 6940, 6942, 6944, 6949, 6961, 6963, 6965, 6969, 6973, 6984, 6985, 6987, 6988, 6990, 6992, 6997, 7008, 7009, 7011, 7012, 7014, 7016, 7018, 61, 62, 63, 7040, 7042, 7050, 7052, 7060, 7062, 7079, 7083, 7084, 7093, 7096, 7098, 7102, 7105, 7108, 7109, 7115, 7117, 7119, 7120, 7121, 7043, 7143, 7144, 6613, 6102, 6099, 6616, 6622, 6619, 7145, 7053, 7146, 7147, 6646, 6141, 6138, 6649, 6655, 6652, 7148, 7063, 7149, 7150, 6679, 6180, 6177, 6682, 7070, 6685, 7151, 6696, 6693, 7074, 7152, 7075, 7153, 7154, 7155, 7156, 7157, 7076, 6722, 6719, 7158, 7159, 6247, 6244, 6241, 7160, 7161, 7162, 7163, 7164, 7165, 7167, 7168, 6761, 6758, 7088, 7169, 7089, 7170, 7171, 7172, 7173, 7174, 7175, 6313, 6310, 6307, 7176, 7177, 7178, 6802, 6799, 7179, 7180, 7181, 7097, 7182, 7184, 7185, 6827, 6363, 6360, 6837, 6834, 7186, 7106, 7187, 7107, 7188, 7190, 7191, 7118, 7192, 7193, 6865, 6919, 6916, 7194, 6871, 6868, 7113, 7195, 7114, 7196, 7197, 7198, 7199, 7200, 7118, 7201, 6913, 6919, 6916, 7202, 7203, 7125, 7204, 7126, 6937, 6934, 7205, 7206, 7207, 7208, 7129, 7209, 7130, 6958, 6955, 6960, 7210, 7211, 7212, 7134, 7213, 7135, 7214, 7136, 6982, 6979, 7215, 7216, 7217, 7218, 7219, 7220, 7139, 7221, 7140, 7006, 7003, 7222, 7223, 7224, 7225, 7226, 7227, 7228, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 6089, 6596, 7253, 7256, 7257, 7258, 7259, 7260, 7261, 6128, 6629, 7263, 7266, 7267, 7268, 7269, 7270, 7271, 6167, 6662, 7273, 7276, 7277, 7278, 7279, 7280, 7281, 7283, 7284, 7285, 7287, 7293, 7294, 7295, 7238, 6251, 7298, 7299, 7300, 7301, 7240, 7309, 7310, 7311, 7313, 6317, 7320, 7321, 7322, 7323, 7326, 7327, 7242, 7331, 7243, 7335, 7336, 7337, 7244, 7338, 7339, 7245, 7341, 7343, 7246, 6445, 6892, 7347, 6910, 6458, 6454, 7350, 7351, 7352, 7354, 7355, 7356, 7358, 7359, 6445, 6892, 7364, 6910, 6458, 6454, 7366, 7367, 7368, 7371, 7373, 7374, 7375, 7380, 7382, 7383, 7384, 7385, 7389, 7391, 7393, 7394, 7395, 7402, 7404, 7405, 7406, 7291, 7289, 7305, 7297, 7308, 7317, 7315, 7319, 7329, 7334, 7346, 7363, 7378, 7387, 7400, 7398, 7413, 7411, 7409, 61, 62, 63, 7424, 7425, 7426, 7427, 7431, 7433, 7434, 7435, 7436, 7440, 7442, 7443, 7444, 7445, 7449, 7451, 7456, 7458, 7459, 7461, 7463, 7464, 7465, 7469, 7471, 7473, 7474, 7476, 7478, 7479, 7482, 7483, 7485, 7488, 7489, 7490, 7491, 7492, 7493, 7494, 7496, 7498, 7503, 7504, 7505, 7506, 7507, 7508, 7510, 7514, 7518, 7524, 7528, 7454, 7530, 7531, 7532, 7533, 7455, 7534, 7468, 7535, 7536, 7537, 7477, 7538, 7539, 7487, 7486, 7540, 7501, 7541, 7361, 7513, 7512, 7542, 7517, 7516, 7543, 7523, 7522, 7521, 7544, 7545, 7527, 7526, 7546, 7547, 7548, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7552, 7554, 7555, 7557, 7559, 7560, 7562, 7564, 7565, 7570, 7575, 7581, 7586, 7588, 7589, 7594, 7597, 7262, 7272, 7282, 7605, 7453, 7606, 7569, 7610, 7573, 7612, 7467, 7613, 7579, 7616, 7580, 7619, 7620, 7584, 7585, 7353, 7622, 7500, 7624, 7369, 7376, 7625, 7626, 7520, 7628, 7629, 7396, 7631, 7632, 7633, 7634, 7407, 7636, 7637, 7638, 56, 57, 58, 59, 60, 61, 62, 63, 7689, 7690, 7694, 7696, 7681, 7697, 7430, 7684, 7698, 7439, 7687, 7699, 7448, 7701, 7703, 7705, 7707, 7709, 7615, 7711, 7714, 7582, 7712, 7715, 7693, 7716, 7718, 7623, 7596, 7720, 7721, 7724, 7727, 7729, 7732, 7735, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7748, 7750, 7751, 7753, 7754, 7756, 7700, 7572, 7608, 7611, 7706, 7577, 7618, 7765, 7621, 7768, 7495, 7717, 7772, 7509, 7774, 7775, 7776, 7778, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7749, 7752, 7755, 7815, 7819, 7764, 7824, 7827, 7828, 7829, 7830, 7831, 7708, 7702, 7771, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7875, 7876, 7766, 7769, 7773, 7874, 7873, 7872, 7884, 7885, 7886, 7779, 7731, 7630, 7627, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7816, 7937, 7941, 7942, 7943, 7822, 7939, 7940, 7947, 7948, 7949, 7950, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8000, 8001, 8002, 8005, 8006, 8007, 8008, 8010, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8066, 7820, 7817, 8070, 7946, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8129, 8130, 8131, 8132, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7944, 8067, 8194, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8256, 8258, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8320, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8384, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8448, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8321, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63};
int h_C[]= {
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 376, 378, 380, 382, 384, 386, 388, 390, 392, 394, 397, 399, 401, 403, 405, 407, 411, 413, 415, 417, 419, 421, 423, 425, 427, 429, 431, 433, 435, 437, 439, 441, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 496, 498, 500, 502, 504, 506, 508, 510, 512, 514, 516, 518, 520, 522, 525, 527, 529, 531, 533, 535, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 574, 576, 578, 580, 582, 584, 586, 588, 590, 592, 594, 596, 598, 600, 602, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 644, 646, 648, 650, 652, 655, 657, 660, 662, 664, 666, 668, 670, 672, 674, 676, 678, 680, 682, 684, 686, 688, 690, 692, 694, 696, 698, 700, 702, 704, 706, 708, 710, 712, 714, 716, 718, 720, 722, 724, 726, 728, 730, 732, 734, 736, 738, 740, 742, 744, 746, 748, 750, 753, 755, 757, 759, 762, 764, 766, 768, 772, 774, 776, 778, 780, 782, 784, 786, 788, 790, 792, 794, 796, 798, 800, 802, 804, 806, 808, 810, 812, 814, 816, 818, 820, 822, 824, 826, 828, 830, 832, 834, 837, 839, 841, 843, 847, 849, 851, 853, 855, 857, 860, 862, 864, 866, 869, 871, 874, 876, 881, 883, 885, 887, 889, 891, 894, 896, 898, 900, 902, 904, 906, 908, 910, 912, 914, 916, 919, 921, 924, 926, 929, 931, 934, 936, 939, 941, 943, 945, 948, 950, 953, 955, 960, 962, 964, 966, 968, 970, 972, 974, 976, 978, 980, 982, 984, 986, 988, 990, 992, 994, 996, 998, 1000, 1002, 1004, 1006, 1008, 1010, 1012, 1014, 1016, 1018, 1020, 1022, 1024, 1026, 1028, 1030, 1032, 1034, 1036, 1038, 1041, 1043, 1045, 1047, 1050, 1052, 1054, 1056, 1058, 1060, 1062, 1064, 1066, 1068, 1070, 1072, 1074, 1076, 1078, 1080, 1083, 1085, 1087, 1089, 1093, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1123, 1126, 1128, 1130, 1132, 1134, 1136, 1138, 1140, 1143, 1145, 1148, 1150, 1153, 1155, 1158, 1160, 1166, 1168, 1171, 1173, 1176, 1178, 1181, 1183, 1186, 1188, 1190, 1192, 1194, 1196, 1199, 1201, 1204, 1206, 1208, 1210, 1212, 1214, 1216, 1218, 1220, 1222, 1224, 1226, 1228, 1230, 1232, 1234, 1237, 1239, 1241, 1243, 1245, 1247, 1249, 1251, 1253, 1255, 1258, 1260, 1262, 1264, 1266, 1268, 1270, 1272, 1274, 1276, 1278, 1280, 1282, 1284, 1286, 1288, 1290, 1292, 1294, 1296, 1298, 1300, 1302, 1304, 1307, 1309, 1311, 1313, 1315, 1317, 1319, 1321, 1323, 1325, 1327, 1329, 1331, 1333, 1335, 1337, 1339, 1341, 1343, 1345, 1347, 1349, 1351, 1353, 1355, 1357, 1359, 1361, 1363, 1365, 1367, 1369, 1371, 1373, 1375, 1377, 1380, 1382, 1384, 1386, 1388, 1390, 1392, 1394, 1397, 1399, 1401, 1403, 1406, 1408, 1410, 1412, 1414, 1416, 1418, 1420, 1422, 1424, 1426, 1428, 1431, 1433, 1435, 1437, 1439, 1441, 1444, 1446, 1449, 1451, 1457, 1459, 1462, 1464, 1468, 1470, 1472, 1474, 1476, 1478, 1481, 1483, 1486, 1488, 1491, 1493, 1496, 1498, 1501, 1503, 1506, 1508, 1511, 1513, 1515, 1517, 1519, 1521, 1524, 1526, 1528, 1530, 1532, 1534, 1536, 1538, 1540, 1542, 1544, 1546, 1548, 1550, 1552, 1554, 1556, 1558, 1561, 1563, 1565, 1567, 1570, 1572, 1575, 1577, 1582, 1584, 1587, 1589, 1592, 1594, 1597, 1599, 1602, 1604, 1607, 1609, 1612, 1614, 1617, 1619, 1622, 1624, 1627, 1629, 1632, 1634, 1039, 1048, 1163, 1163, 136, 1163, 1163, 137, 760, 1442, 1442, 1429, 1429, 751, 1454, 1454, 1442, 1442, 572, 572, 760, 1395, 1395, 1442, 1442, 1454, 1454, 1429, 1429, 1442, 1442, 1454, 1454, 1429, 1429, 1454, 1454, 1442, 1442, 1404, 1404, 1235, 1235, 1256, 1256, 1568, 1568, 751, 1454, 1454, 1442, 1442, 374, 374, 1454, 1454, 1442, 1442, 395, 395, 1442, 1442, 1454, 1454, 1429, 1429, 1442, 1442, 1454, 1454, 1454, 1454, 1442, 1442, 494, 1395, 1395, 1404, 1404, 523, 1395, 1395, 1404, 1404, 572, 572, 751, 751, 572, 572, 751, 751, 1522, 1522, 1568, 1568, 572, 572, 751, 751, 917, 917, 1442, 1442, 1235, 1256, 1395, 1395, 1404, 1404, 769, 769, 769, 769, 751, 751, 769, 769, 769, 769, 760, 760, 770, 770, 867, 878, 835, 844, 867, 878, 917, 917, 957, 957, 1039, 1048, 1081, 1090, 1124, 1124, 1124, 1124, 1163, 1163, 1163, 1163, 1442, 1442, 1235, 1256, 1235, 1235, 1256, 1256, 1454, 1454, 1579, 1395, 1404, 1395, 1404, 1454, 1454, 1442, 1442, 1442, 1442, 1454, 1454, 1522, 1522, 1568, 1568, 1579, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3137, 3139, 3141, 3143, 3145, 3147, 3149, 3151, 3153, 3155, 3157, 3159, 3161, 3163, 3165, 3167, 3169, 3171, 3173, 3175, 3177, 3179, 3181, 3183, 3185, 3187, 3189, 3191, 3193, 3195, 3197, 3199, 3201, 3203, 3205, 3207, 3209, 3211, 3213, 3215, 3217, 3219, 3221, 3223, 3225, 3227, 3229, 3231, 3233, 3235, 3237, 3239, 3241, 3243, 3245, 3247, 3249, 3251, 3253, 3255, 3257, 3259, 3261, 3263, 3265, 3267, 3269, 3271, 3273, 3275, 3277, 3279, 3281, 3283, 3285, 3287, 3289, 3291, 3293, 3295, 3297, 3299, 3301, 3303, 3305, 3307, 3309, 3311, 3313, 3315, 3317, 3319, 3321, 3323, 3325, 3327, 3329, 3331, 3333, 3335, 3337, 3339, 3341, 3343, 3345, 3347, 3349, 3351, 3353, 3355, 3357, 3359, 3361, 3363, 3365, 3367, 3369, 3371, 3373, 3375, 3377, 3379, 3381, 3383, 3385, 3387, 3389, 3391, 3393, 3395, 3397, 3399, 3401, 3403, 3405, 3407, 3409, 3411, 3413, 3415, 3417, 3419, 3421, 3423, 3425, 3427, 3429, 3431, 3433, 3435, 3437, 3439, 3441, 3443, 3445, 3447, 3449, 3451, 3453, 3455, 3457, 3459, 3461, 3463, 3465, 3467, 3469, 3471, 3473, 3475, 3477, 3479, 3481, 3483, 3485, 3487, 3489, 3491, 3493, 3495, 3497, 3499, 3501, 3503, 3505, 3507, 3509, 3511, 3513, 3515, 3517, 3519, 3521, 3523, 3525, 3527, 3529, 3531, 3533, 3535, 3537, 3539, 3541, 3543, 3545, 3547, 3549, 3551, 3553, 3555, 3557, 3559, 3561, 3563, 3565, 3567, 3569, 3571, 3573, 3575, 3577, 3579, 3581, 3583, 3585, 3587, 3589, 3591, 3593, 3595, 3597, 3599, 3601, 3603, 3605, 3607, 3609, 3611, 3613, 3615, 3617, 3619, 3621, 3623, 3625, 3627, 3629, 3631, 3633, 3635, 3637, 3639, 3641, 3643, 3645, 3647, 3649, 3651, 3653, 3655, 3657, 3659, 3661, 3663, 3665, 3667, 3669, 3671, 3673, 3675, 3677, 3679, 3681, 3683, 3685, 3687, 3689, 3691, 3693, 3695, 3697, 3699, 3701, 3703, 3705, 3707, 3709, 3711, 3713, 3715, 3717, 3719, 3721, 3723, 3725, 3727, 3729, 3731, 3733, 3735, 3737, 3739, 3741, 3743, 3745, 3747, 3749, 3751, 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2497, 2498, 2499, 2500, 2501, 2502, 6293, 2505, 2506, 2507, 6297, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2520, 2521, 2523, 2524, 2526, 2527, 2528, 6319, 2532, 6322, 2535, 6325, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2557, 2558, 2563, 2564, 2565, 2566, 2568, 2569, 2570, 2571, 2572, 2574, 2575, 2577, 2578, 2579, 6368, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2609, 2610, 2611, 2612, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 6416, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2643, 2646, 2647, 2648, 6432, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 6441, 2660, 2661, 2662, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2673, 2674, 2675, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 6469, 2688, 2689, 6473, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 6493, 2712, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 6516, 2736, 2738, 2739, 2740, 2741, 2742, 2744, 2745, 2746, 2747, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 6545, 2764, 2766, 2767, 2768, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 6572, 2791, 2793, 2794, 2795, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 6267, 6265, 6348, 6346, 6026, 6024, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 6593, 6595, 6598, 6606, 6608, 6610, 6612, 6615, 6618, 6621, 6626, 6628, 6631, 6639, 6641, 6643, 6645, 6648, 6651, 6654, 6659, 6661, 6664, 6672, 6674, 6676, 6678, 6681, 6684, 6687, 5968, 6692, 6695, 6204, 6699, 6704, 6716, 6718, 6721, 6724, 6731, 6733, 6735, 6737, 6751, 6757, 6760, 6285, 6764, 6769, 6783, 6785, 6787, 6789, 6798, 6801, 6804, 6813, 6816, 6822, 6824, 6826, 6830, 6833, 6836, 6839, 6845, 6850, 6853, 6863, 6867, 6870, 6417, 6874, 6879, 6889, 6891, 6894, 6900, 6902, 6905, 6908, 6912, 6915, 6918, 6926, 6931, 6933, 6936, 6947, 6952, 6954, 6957, 6517, 6967, 6971, 6976, 6978, 6981, 6995, 7000, 7002, 7005, 6602, 6600, 6623, 6635, 6633, 6656, 6668, 6666, 6689, 6700, 6705, 6707, 6709, 6711, 6713, 6726, 6728, 6743, 6741, 6739, 6745, 6747, 2865, 2866, 6273, 6754, 6765, 6770, 6772, 6774, 6776, 6778, 6780, 6795, 6793, 6791, 6806, 6808, 6810, 2895, 2896, 6354, 6819, 6841, 6846, 2911, 2912, 6028, 6856, 6860, 6858, 6920, 6875, 6427, 6425, 6882, 6884, 6886, 6896, 6920, 6922, 6927, 6938, 6495, 6941, 6943, 6948, 6519, 6962, 6964, 6968, 6972, 6983, 6547, 6986, 6551, 6989, 6991, 6996, 7007, 6574, 7010, 6578, 7013, 7015, 7017, 61, 62, 63, 7041, 6599, 7051, 6632, 7061, 6665, 6725, 6738, 6752, 6790, 6805, 6817, 6831, 6840, 6854, 6864, 7116, 6895, 6903, 6906, 6909, 6604, 2807, 2808, 7046, 7045, 7044, 7047, 7049, 7048, 2815, 6637, 2819, 2820, 7056, 7055, 7054, 7057, 7059, 7058, 2827, 6670, 2831, 2832, 7066, 7065, 7064, 7067, 7069, 7068, 2839, 7072, 7071, 7073, 2843, 6702, 2845, 2846, 2847, 2848, 2849, 6222, 7078, 7077, 2854, 2855, 7082, 7081, 7080, 2860, 2861, 2862, 2863, 2864, 7166, 2868, 2869, 7086, 7085, 7087, 2873, 6767, 2875, 2876, 2877, 2878, 2879, 2880, 7092, 7091, 7090, 2885, 2886, 2887, 7095, 7094, 2891, 2892, 2893, 6343, 7183, 2898, 2899, 7101, 7100, 7099, 7104, 7103, 2907, 6843, 2909, 6848, 7189, 2914, 2915, 6898, 2919, 2920, 7122, 7124, 7123, 2927, 7111, 7110, 7112, 2931, 6877, 2933, 2934, 2935, 2936, 2937, 6898, 2941, 7122, 7124, 7123, 2948, 2949, 6924, 2951, 6929, 7128, 7127, 2955, 2956, 2957, 2958, 6945, 2960, 6950, 7132, 7131, 7133, 2965, 2966, 2967, 6525, 2969, 6530, 2971, 6974, 7138, 7137, 2975, 2976, 2977, 2978, 2979, 2980, 6993, 2982, 6998, 7142, 7141, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7233, 7232, 2806, 2809, 2810, 2811, 2812, 2813, 2814, 7235, 7234, 2818, 2821, 2822, 2823, 2824, 2825, 2826, 7237, 7236, 2830, 2833, 2834, 2835, 2836, 2837, 2838, 2840, 2841, 2842, 2844, 2850, 2851, 2852, 6231, 7239, 2857, 2858, 2859, 7302, 6749, 2870, 2871, 2872, 2874, 7241, 2882, 2883, 2884, 7324, 2888, 2889, 6333, 2894, 6814, 2900, 2901, 2902, 6828, 2904, 2905, 6378, 2908, 2910, 6851, 7249, 7248, 2918, 7252, 7251, 7247, 2924, 2925, 2926, 2928, 2929, 2930, 2932, 7360, 7249, 7248, 2940, 7252, 7251, 7250, 2945, 2946, 2947, 2950, 2952, 2953, 2954, 2959, 2961, 2962, 2963, 2964, 2968, 2970, 2972, 2973, 2974, 2981, 2983, 2984, 2985, 7290, 7288, 7304, 7296, 7307, 7316, 7314, 7318, 7328, 7333, 7345, 7362, 7377, 7386, 7399, 7397, 7412, 7410, 7408, 61, 62, 63, 2804, 2805, 7254, 7428, 7432, 2816, 2817, 7264, 7437, 7441, 2828, 2829, 7274, 7446, 7450, 7452, 7457, 2853, 2856, 7462, 7303, 2867, 7466, 2881, 7472, 7325, 7475, 2890, 2897, 7480, 2903, 7484, 2906, 2913, 2916, 2917, 7348, 2921, 2922, 2923, 7497, 7499, 2938, 2939, 7365, 2942, 2943, 2944, 7511, 7515, 7519, 7525, 7529, 7286, 3004, 3005, 3006, 3009, 7292, 3011, 7312, 3015, 3016, 3019, 7330, 3021, 3022, 7342, 7340, 3028, 7357, 3035, 7502, 7372, 7370, 3043, 7381, 7379, 3047, 7392, 7390, 7388, 3052, 3053, 7403, 7401, 3057, 3058, 3059, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7553, 7255, 7429, 7558, 7265, 7438, 7563, 7275, 7447, 7460, 7470, 7481, 7587, 7349, 7590, 7595, 7598, 7556, 7561, 7566, 3002, 7567, 7607, 7568, 3010, 7306, 3013, 7574, 7614, 7578, 3020, 7332, 3024, 3025, 7583, 7344, 7592, 3033, 7593, 3036, 7600, 7601, 3041, 3042, 7602, 3045, 3046, 7603, 3049, 3050, 3051, 7635, 7604, 3055, 3056, 7639, 56, 57, 58, 59, 60, 61, 62, 63, 7571, 7576, 7591, 7599, 7680, 2994, 7682, 7683, 2997, 7685, 7686, 3000, 7688, 3003, 3007, 3012, 3014, 3018, 7710, 3023, 3026, 7691, 7713, 3029, 7692, 3031, 3034, 7719, 7695, 3038, 3040, 3044, 3048, 7730, 3054, 7640, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2993, 2995, 2996, 2998, 2999, 3001, 7757, 7744, 7758, 7759, 7760, 7745, 7763, 3027, 7767, 3030, 7746, 7770, 3037, 7747, 7722, 7725, 7728, 7733, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7809, 7811, 7813, 3008, 3017, 7821, 3032, 3039, 7723, 7726, 7777, 7734, 7818, 7814, 7825, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7609, 7761, 7877, 7878, 7879, 7812, 7810, 7808, 3063, 3067, 3069, 7883, 7882, 7881, 7880, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7936, 7762, 3060, 3061, 3062, 7938, 7823, 7826, 3071, 3072, 3073, 3074, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7704, 7617, 8003, 3065, 3068, 3070, 8009, 8011, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8004, 8065, 8064, 8071, 8068, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3064, 3066, 8069, 3076, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8192, 8193, 3075, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8257, 8195, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7945, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8128, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3077, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8512, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63};
bool h_Op[]= {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
#define THREADS_PER_BLOCK 64
#define BLOCKS_PER_GRID 1
#define SIZE_OF_IN 3136
#define SIZE_OF_AC 5504
__device__ void
ac(float *A, const int *B, const int *C, const bool *Op, int n_iter) {
int i= blockDim.x * blockIdx.x + threadIdx.x;
__shared__ float R[135*THREADS_PER_BLOCK];
const int t= THREADS_PER_BLOCK;
__shared__ float final;
final=0;
R[i + 0*t] = A[i + 0*t];
R[i + 1*t] = A[i + 1*t];
R[i + 2*t] = A[i + 2*t];
R[i + 3*t] = A[i + 3*t];
R[i + 4*t] = A[i + 4*t];
R[i + 5*t] = A[i + 5*t];
R[i + 6*t] = A[i + 6*t];
R[i + 7*t] = A[i + 7*t];
R[i + 8*t] = A[i + 8*t];
R[i + 9*t] = A[i + 9*t];
R[i + 10*t] = A[i + 10*t];
R[i + 11*t] = A[i + 11*t];
R[i + 12*t] = A[i + 12*t];
R[i + 13*t] = A[i + 13*t];
R[i + 14*t] = A[i + 14*t];
R[i + 15*t] = A[i + 15*t];
R[i + 16*t] = A[i + 16*t];
R[i + 17*t] = A[i + 17*t];
R[i + 18*t] = A[i + 18*t];
R[i + 19*t] = A[i + 19*t];
R[i + 20*t] = A[i + 20*t];
R[i + 21*t] = A[i + 21*t];
R[i + 22*t] = A[i + 22*t];
R[i + 23*t] = A[i + 23*t];
R[i + 24*t] = A[i + 24*t];
R[i + 25*t] = A[i + 25*t];
R[i + 26*t] = A[i + 26*t];
R[i + 27*t] = A[i + 27*t];
R[i + 28*t] = A[i + 28*t];
R[i + 29*t] = A[i + 29*t];
R[i + 30*t] = A[i + 30*t];
R[i + 31*t] = A[i + 31*t];
R[i + 32*t] = A[i + 32*t];
R[i + 33*t] = A[i + 33*t];
R[i + 34*t] = A[i + 34*t];
R[i + 35*t] = A[i + 35*t];
R[i + 36*t] = A[i + 36*t];
R[i + 37*t] = A[i + 37*t];
R[i + 38*t] = A[i + 38*t];
R[i + 39*t] = A[i + 39*t];
R[i + 40*t] = A[i + 40*t];
R[i + 41*t] = A[i + 41*t];
R[i + 42*t] = A[i + 42*t];
R[i + 43*t] = A[i + 43*t];
R[i + 44*t] = A[i + 44*t];
R[i + 45*t] = A[i + 45*t];
R[i + 46*t] = A[i + 46*t];
R[i + 47*t] = A[i + 47*t];
R[i + 48*t] = A[i + 48*t];
__syncthreads();
for (int iter=0; iter< n_iter; iter++) {
R[i + 49*t] = Op[i + 0*t] ? R[B[i + 0*t]] * R[C[i + 0*t]] : R[B[i + 0*t]] + R[C[i + 0*t]];
R[i + 50*t] = Op[i + 1*t] ? R[B[i + 1*t]] * R[C[i + 1*t]] : R[B[i + 1*t]] + R[C[i + 1*t]];
R[i + 51*t] = Op[i + 2*t] ? R[B[i + 2*t]] * R[C[i + 2*t]] : R[B[i + 2*t]] + R[C[i + 2*t]];
R[i + 52*t] = Op[i + 3*t] ? R[B[i + 3*t]] * R[C[i + 3*t]] : R[B[i + 3*t]] + R[C[i + 3*t]];
R[i + 53*t] = Op[i + 4*t] ? R[B[i + 4*t]] * R[C[i + 4*t]] : R[B[i + 4*t]] + R[C[i + 4*t]];
R[i + 54*t] = Op[i + 5*t] ? R[B[i + 5*t]] * R[C[i + 5*t]] : R[B[i + 5*t]] + R[C[i + 5*t]];
R[i + 55*t] = Op[i + 6*t] ? R[B[i + 6*t]] * R[C[i + 6*t]] : R[B[i + 6*t]] + R[C[i + 6*t]];
R[i + 56*t] = Op[i + 7*t] ? R[B[i + 7*t]] * R[C[i + 7*t]] : R[B[i + 7*t]] + R[C[i + 7*t]];
R[i + 57*t] = Op[i + 8*t] ? R[B[i + 8*t]] * R[C[i + 8*t]] : R[B[i + 8*t]] + R[C[i + 8*t]];
R[i + 58*t] = Op[i + 9*t] ? R[B[i + 9*t]] * R[C[i + 9*t]] : R[B[i + 9*t]] + R[C[i + 9*t]];
R[i + 59*t] = Op[i + 10*t] ? R[B[i + 10*t]] * R[C[i + 10*t]] : R[B[i + 10*t]] + R[C[i + 10*t]];
R[i + 60*t] = Op[i + 11*t] ? R[B[i + 11*t]] * R[C[i + 11*t]] : R[B[i + 11*t]] + R[C[i + 11*t]];
R[i + 61*t] = Op[i + 12*t] ? R[B[i + 12*t]] * R[C[i + 12*t]] : R[B[i + 12*t]] + R[C[i + 12*t]];
R[i + 62*t] = Op[i + 13*t] ? R[B[i + 13*t]] * R[C[i + 13*t]] : R[B[i + 13*t]] + R[C[i + 13*t]];
R[i + 63*t] = Op[i + 14*t] ? R[B[i + 14*t]] * R[C[i + 14*t]] : R[B[i + 14*t]] + R[C[i + 14*t]];
__syncthreads();
R[i + 64*t] = Op[i + 15*t] ? R[B[i + 15*t]] * R[C[i + 15*t]] : R[B[i + 15*t]] + R[C[i + 15*t]];
R[i + 65*t] = Op[i + 16*t] ? R[B[i + 16*t]] * R[C[i + 16*t]] : R[B[i + 16*t]] + R[C[i + 16*t]];
R[i + 66*t] = Op[i + 17*t] ? R[B[i + 17*t]] * R[C[i + 17*t]] : R[B[i + 17*t]] + R[C[i + 17*t]];
R[i + 67*t] = Op[i + 18*t] ? R[B[i + 18*t]] * R[C[i + 18*t]] : R[B[i + 18*t]] + R[C[i + 18*t]];
R[i + 68*t] = Op[i + 19*t] ? R[B[i + 19*t]] * R[C[i + 19*t]] : R[B[i + 19*t]] + R[C[i + 19*t]];
R[i + 69*t] = Op[i + 20*t] ? R[B[i + 20*t]] * R[C[i + 20*t]] : R[B[i + 20*t]] + R[C[i + 20*t]];
R[i + 70*t] = Op[i + 21*t] ? R[B[i + 21*t]] * R[C[i + 21*t]] : R[B[i + 21*t]] + R[C[i + 21*t]];
R[i + 71*t] = Op[i + 22*t] ? R[B[i + 22*t]] * R[C[i + 22*t]] : R[B[i + 22*t]] + R[C[i + 22*t]];
R[i + 72*t] = Op[i + 23*t] ? R[B[i + 23*t]] * R[C[i + 23*t]] : R[B[i + 23*t]] + R[C[i + 23*t]];
__syncthreads();
R[i + 73*t] = Op[i + 24*t] ? R[B[i + 24*t]] * R[C[i + 24*t]] : R[B[i + 24*t]] + R[C[i + 24*t]];
R[i + 74*t] = Op[i + 25*t] ? R[B[i + 25*t]] * R[C[i + 25*t]] : R[B[i + 25*t]] + R[C[i + 25*t]];
R[i + 75*t] = Op[i + 26*t] ? R[B[i + 26*t]] * R[C[i + 26*t]] : R[B[i + 26*t]] + R[C[i + 26*t]];
R[i + 76*t] = Op[i + 27*t] ? R[B[i + 27*t]] * R[C[i + 27*t]] : R[B[i + 27*t]] + R[C[i + 27*t]];
R[i + 77*t] = Op[i + 28*t] ? R[B[i + 28*t]] * R[C[i + 28*t]] : R[B[i + 28*t]] + R[C[i + 28*t]];
R[i + 78*t] = Op[i + 29*t] ? R[B[i + 29*t]] * R[C[i + 29*t]] : R[B[i + 29*t]] + R[C[i + 29*t]];
R[i + 79*t] = Op[i + 30*t] ? R[B[i + 30*t]] * R[C[i + 30*t]] : R[B[i + 30*t]] + R[C[i + 30*t]];
R[i + 80*t] = Op[i + 31*t] ? R[B[i + 31*t]] * R[C[i + 31*t]] : R[B[i + 31*t]] + R[C[i + 31*t]];
R[i + 81*t] = Op[i + 32*t] ? R[B[i + 32*t]] * R[C[i + 32*t]] : R[B[i + 32*t]] + R[C[i + 32*t]];
__syncthreads();
R[i + 82*t] = Op[i + 33*t] ? R[B[i + 33*t]] * R[C[i + 33*t]] : R[B[i + 33*t]] + R[C[i + 33*t]];
R[i + 83*t] = Op[i + 34*t] ? R[B[i + 34*t]] * R[C[i + 34*t]] : R[B[i + 34*t]] + R[C[i + 34*t]];
R[i + 84*t] = Op[i + 35*t] ? R[B[i + 35*t]] * R[C[i + 35*t]] : R[B[i + 35*t]] + R[C[i + 35*t]];
R[i + 85*t] = Op[i + 36*t] ? R[B[i + 36*t]] * R[C[i + 36*t]] : R[B[i + 36*t]] + R[C[i + 36*t]];
R[i + 86*t] = Op[i + 37*t] ? R[B[i + 37*t]] * R[C[i + 37*t]] : R[B[i + 37*t]] + R[C[i + 37*t]];
R[i + 87*t] = Op[i + 38*t] ? R[B[i + 38*t]] * R[C[i + 38*t]] : R[B[i + 38*t]] + R[C[i + 38*t]];
R[i + 88*t] = Op[i + 39*t] ? R[B[i + 39*t]] * R[C[i + 39*t]] : R[B[i + 39*t]] + R[C[i + 39*t]];
R[i + 89*t] = Op[i + 40*t] ? R[B[i + 40*t]] * R[C[i + 40*t]] : R[B[i + 40*t]] + R[C[i + 40*t]];
__syncthreads();
R[i + 90*t] = Op[i + 41*t] ? R[B[i + 41*t]] * R[C[i + 41*t]] : R[B[i + 41*t]] + R[C[i + 41*t]];
R[i + 91*t] = Op[i + 42*t] ? R[B[i + 42*t]] * R[C[i + 42*t]] : R[B[i + 42*t]] + R[C[i + 42*t]];
R[i + 92*t] = Op[i + 43*t] ? R[B[i + 43*t]] * R[C[i + 43*t]] : R[B[i + 43*t]] + R[C[i + 43*t]];
R[i + 93*t] = Op[i + 44*t] ? R[B[i + 44*t]] * R[C[i + 44*t]] : R[B[i + 44*t]] + R[C[i + 44*t]];
R[i + 94*t] = Op[i + 45*t] ? R[B[i + 45*t]] * R[C[i + 45*t]] : R[B[i + 45*t]] + R[C[i + 45*t]];
__syncthreads();
R[i + 95*t] = Op[i + 46*t] ? R[B[i + 46*t]] * R[C[i + 46*t]] : R[B[i + 46*t]] + R[C[i + 46*t]];
R[i + 96*t] = Op[i + 47*t] ? R[B[i + 47*t]] * R[C[i + 47*t]] : R[B[i + 47*t]] + R[C[i + 47*t]];
R[i + 97*t] = Op[i + 48*t] ? R[B[i + 48*t]] * R[C[i + 48*t]] : R[B[i + 48*t]] + R[C[i + 48*t]];
R[i + 98*t] = Op[i + 49*t] ? R[B[i + 49*t]] * R[C[i + 49*t]] : R[B[i + 49*t]] + R[C[i + 49*t]];
R[i + 99*t] = Op[i + 50*t] ? R[B[i + 50*t]] * R[C[i + 50*t]] : R[B[i + 50*t]] + R[C[i + 50*t]];
R[i + 100*t] = Op[i + 51*t] ? R[B[i + 51*t]] * R[C[i + 51*t]] : R[B[i + 51*t]] + R[C[i + 51*t]];
R[i + 101*t] = Op[i + 52*t] ? R[B[i + 52*t]] * R[C[i + 52*t]] : R[B[i + 52*t]] + R[C[i + 52*t]];
R[i + 102*t] = Op[i + 53*t] ? R[B[i + 53*t]] * R[C[i + 53*t]] : R[B[i + 53*t]] + R[C[i + 53*t]];
__syncthreads();
R[i + 103*t] = Op[i + 54*t] ? R[B[i + 54*t]] * R[C[i + 54*t]] : R[B[i + 54*t]] + R[C[i + 54*t]];
R[i + 104*t] = Op[i + 55*t] ? R[B[i + 55*t]] * R[C[i + 55*t]] : R[B[i + 55*t]] + R[C[i + 55*t]];
R[i + 105*t] = Op[i + 56*t] ? R[B[i + 56*t]] * R[C[i + 56*t]] : R[B[i + 56*t]] + R[C[i + 56*t]];
R[i + 106*t] = Op[i + 57*t] ? R[B[i + 57*t]] * R[C[i + 57*t]] : R[B[i + 57*t]] + R[C[i + 57*t]];
R[i + 107*t] = Op[i + 58*t] ? R[B[i + 58*t]] * R[C[i + 58*t]] : R[B[i + 58*t]] + R[C[i + 58*t]];
R[i + 108*t] = Op[i + 59*t] ? R[B[i + 59*t]] * R[C[i + 59*t]] : R[B[i + 59*t]] + R[C[i + 59*t]];
R[i + 109*t] = Op[i + 60*t] ? R[B[i + 60*t]] * R[C[i + 60*t]] : R[B[i + 60*t]] + R[C[i + 60*t]];
__syncthreads();
R[i + 110*t] = Op[i + 61*t] ? R[B[i + 61*t]] * R[C[i + 61*t]] : R[B[i + 61*t]] + R[C[i + 61*t]];
R[i + 111*t] = Op[i + 62*t] ? R[B[i + 62*t]] * R[C[i + 62*t]] : R[B[i + 62*t]] + R[C[i + 62*t]];
R[i + 112*t] = Op[i + 63*t] ? R[B[i + 63*t]] * R[C[i + 63*t]] : R[B[i + 63*t]] + R[C[i + 63*t]];
__syncthreads();
R[i + 113*t] = Op[i + 64*t] ? R[B[i + 64*t]] * R[C[i + 64*t]] : R[B[i + 64*t]] + R[C[i + 64*t]];
R[i + 114*t] = Op[i + 65*t] ? R[B[i + 65*t]] * R[C[i + 65*t]] : R[B[i + 65*t]] + R[C[i + 65*t]];
R[i + 115*t] = Op[i + 66*t] ? R[B[i + 66*t]] * R[C[i + 66*t]] : R[B[i + 66*t]] + R[C[i + 66*t]];
__syncthreads();
R[i + 116*t] = Op[i + 67*t] ? R[B[i + 67*t]] * R[C[i + 67*t]] : R[B[i + 67*t]] + R[C[i + 67*t]];
R[i + 117*t] = Op[i + 68*t] ? R[B[i + 68*t]] * R[C[i + 68*t]] : R[B[i + 68*t]] + R[C[i + 68*t]];
__syncthreads();
R[i + 118*t] = Op[i + 69*t] ? R[B[i + 69*t]] * R[C[i + 69*t]] : R[B[i + 69*t]] + R[C[i + 69*t]];
R[i + 119*t] = Op[i + 70*t] ? R[B[i + 70*t]] * R[C[i + 70*t]] : R[B[i + 70*t]] + R[C[i + 70*t]];
__syncthreads();
R[i + 120*t] = Op[i + 71*t] ? R[B[i + 71*t]] * R[C[i + 71*t]] : R[B[i + 71*t]] + R[C[i + 71*t]];
__syncthreads();
R[i + 121*t] = Op[i + 72*t] ? R[B[i + 72*t]] * R[C[i + 72*t]] : R[B[i + 72*t]] + R[C[i + 72*t]];
__syncthreads();
R[i + 122*t] = Op[i + 73*t] ? R[B[i + 73*t]] * R[C[i + 73*t]] : R[B[i + 73*t]] + R[C[i + 73*t]];
__syncthreads();
R[i + 123*t] = Op[i + 74*t] ? R[B[i + 74*t]] * R[C[i + 74*t]] : R[B[i + 74*t]] + R[C[i + 74*t]];
__syncthreads();
R[i + 124*t] = Op[i + 75*t] ? R[B[i + 75*t]] * R[C[i + 75*t]] : R[B[i + 75*t]] + R[C[i + 75*t]];
__syncthreads();
R[i + 125*t] = Op[i + 76*t] ? R[B[i + 76*t]] * R[C[i + 76*t]] : R[B[i + 76*t]] + R[C[i + 76*t]];
__syncthreads();
R[i + 126*t] = Op[i + 77*t] ? R[B[i + 77*t]] * R[C[i + 77*t]] : R[B[i + 77*t]] + R[C[i + 77*t]];
__syncthreads();
R[i + 127*t] = Op[i + 78*t] ? R[B[i + 78*t]] * R[C[i + 78*t]] : R[B[i + 78*t]] + R[C[i + 78*t]];
__syncthreads();
R[i + 128*t] = Op[i + 79*t] ? R[B[i + 79*t]] * R[C[i + 79*t]] : R[B[i + 79*t]] + R[C[i + 79*t]];
__syncthreads();
R[i + 129*t] = Op[i + 80*t] ? R[B[i + 80*t]] * R[C[i + 80*t]] : R[B[i + 80*t]] + R[C[i + 80*t]];
__syncthreads();
R[i + 130*t] = Op[i + 81*t] ? R[B[i + 81*t]] * R[C[i + 81*t]] : R[B[i + 81*t]] + R[C[i + 81*t]];
__syncthreads();
R[i + 131*t] = Op[i + 82*t] ? R[B[i + 82*t]] * R[C[i + 82*t]] : R[B[i + 82*t]] + R[C[i + 82*t]];
__syncthreads();
R[i + 132*t] = Op[i + 83*t] ? R[B[i + 83*t]] * R[C[i + 83*t]] : R[B[i + 83*t]] + R[C[i + 83*t]];
__syncthreads();
R[i + 133*t] = Op[i + 84*t] ? R[B[i + 84*t]] * R[C[i + 84*t]] : R[B[i + 84*t]] + R[C[i + 84*t]];
__syncthreads();
R[i + 134*t] = Op[i + 85*t] ? R[B[i + 85*t]] * R[C[i + 85*t]] : R[B[i + 85*t]] + R[C[i + 85*t]];
if (i==0) { final += R[134*t]; }
__syncthreads();
}
if (i==0) { A[0]= final;}
}
|
4,448 | #include <iostream>
#include <math.h>
using namespace std;
__global__ void add(int n,float* a,float* b){
int index = blockIdx.x*blockDim.x+threadIdx.x;
int stride = blockDim.x*gridDim.x;
for(int i=index;i<n;i+=stride)
a[i] = a[i]+b[i];
}
int main(void){
int N=1<<20;
float *x,*y;
cudaMallocManaged(&x,N,sizeof(float)*N);
cudaMallocManaged(&y,N,sizeof(float)*N);
for(int i=0;i<N;i++){
x[i] = 1.f;
y[i] = 2.f;
}
int blockSize = 256;
int numBlocks = (N+blockSize-1)/blockSize;
add<<<numBlocks,blockSize>>>(N,x,y);
cudaDeviceSynchronize();
float maxError = 0.0f;
for(int i=0;i<N;i++)
maxError = fmax(maxError, fabs(y[i]-3.0f));
cudaFree(x);
cudaFree(y);
return 0;
}
|
4,449 |
#include <cuda_runtime.h>
#define min(a, b) ((a) < (b) ? (a) : (b))
#define num_threads 512
typedef unsigned char uint8_t;
struct Size{
int width = 0, height = 0;
Size() = default;
Size(int w, int h)
:width(w), height(h){}
};
// 计算仿射变换矩阵
// 计算的矩阵是居中缩放
struct AffineMatrix{
/*
建议先阅读代码，若有疑问，可点击抖音短视频进行辅助讲解(建议1.5倍速观看)
- https://v.douyin.com/Nhr5UdL/
*/
float i2d[6]; // image to dst(network), 2x3 matrix
float d2i[6]; // dst to image, 2x3 matrix
// 这里其实是求解imat的逆矩阵，由于这个3x3矩阵的第三行是确定的0, 0, 1，因此可以简写如下
void invertAffineTransform(float imat[6], float omat[6]){
float i00 = imat[0]; float i01 = imat[1]; float i02 = imat[2];
float i10 = imat[3]; float i11 = imat[4]; float i12 = imat[5];
// 计算行列式
float D = i00 * i11 - i01 * i10;
D = D != 0 ? 1.0 / D : 0;
// 计算剩余的伴随矩阵除以行列式
float A11 = i11 * D;
float A22 = i00 * D;
float A12 = -i01 * D;
float A21 = -i10 * D;
float b1 = -A11 * i02 - A12 * i12;
float b2 = -A21 * i02 - A22 * i12;
omat[0] = A11; omat[1] = A12; omat[2] = b1;
omat[3] = A21; omat[4] = A22; omat[5] = b2;
}
void compute(const Size& from, const Size& to){
float scale_x = to.width / (float)from.width;
float scale_y = to.height / (float)from.height;
// 这里取min的理由是
// 1. M矩阵是 from * M = to的方式进行映射，因此scale的分母一定是from
// 2. 取最小，即根据宽高比，算出最小的比例，如果取最大，则势必有一部分超出图像范围而被裁剪掉，这不是我们要的
// **
float scale = min(scale_x, scale_y); // 缩放比例辅助视频讲解 https://v.douyin.com/NhrH8Gm/
/**
这里的仿射变换矩阵实质上是2x3的矩阵，具体实现是
scale, 0, -scale * from.width * 0.5 + to.width * 0.5
0, scale, -scale * from.height * 0.5 + to.height * 0.5
这里可以想象成，是经历过缩放、平移、平移三次变换后的组合，M = TPS
例如第一个S矩阵，定义为把输入的from图像，等比缩放scale倍，到to尺度下
S = [
scale, 0, 0
0, scale, 0
0, 0, 1
]
P矩阵定义为第一次平移变换矩阵，将图像的原点，从左上角，移动到缩放(scale)后图像的中心上
P = [
1, 0, -scale * from.width * 0.5
0, 1, -scale * from.height * 0.5
0, 0, 1
]
T矩阵定义为第二次平移变换矩阵，将图像从原点移动到目标（to）图的中心上
T = [
1, 0, to.width * 0.5,
0, 1, to.height * 0.5,
0, 0, 1
]
通过将3个矩阵顺序乘起来，即可得到下面的表达式：
M = [
scale, 0, -scale * from.width * 0.5 + to.width * 0.5
0, scale, -scale * from.height * 0.5 + to.height * 0.5
0, 0, 1
]
去掉第三行就得到opencv需要的输入2x3矩阵
**/
/*
+ scale * 0.5 - 0.5 的主要原因是使得中心更加对齐，下采样不明显，但是上采样时就比较明显
参考：https://www.iteye.com/blog/handspeaker-1545126
*/
i2d[0] = scale; i2d[1] = 0; i2d[2] =
-scale * from.width * 0.5 + to.width * 0.5 + scale * 0.5 - 0.5;
i2d[3] = 0; i2d[4] = scale; i2d[5] =
-scale * from.height * 0.5 + to.height * 0.5 + scale * 0.5 - 0.5;
invertAffineTransform(i2d, d2i);
}
};
__device__ void affine_project(float* matrix, int x, int y, float* proj_x, float* proj_y){
// matrix
// m0, m1, m2
// m3, m4, m5
*proj_x = matrix[0] * x + matrix[1] * y + matrix[2];
*proj_y = matrix[3] * x + matrix[4] * y + matrix[5];
}
__global__ void warp_affine_bilinear_kernel(
uint8_t* src, int src_line_size, int src_width, int src_height,
uint8_t* dst, int dst_line_size, int dst_width, int dst_height,
uint8_t fill_value, AffineMatrix matrix
){
/*
建议先阅读代码，若有疑问，可点击抖音短视频进行辅助讲解(建议1.5倍速观看)
- https://v.douyin.com/Nhr4vTF/
*/
int dx = blockDim.x * blockIdx.x + threadIdx.x;
int dy = blockDim.y * blockIdx.y + threadIdx.y;
if (dx >= dst_width || dy >= dst_height) return;
float c0 = fill_value, c1 = fill_value, c2 = fill_value;
float src_x = 0; float src_y = 0;
affine_project(matrix.d2i, dx, dy, &src_x, &src_y);
/*
建议先阅读代码，若有疑问，可点击抖音短视频进行辅助讲解(建议1.5倍速观看)
- 双线性理论讲解：https://v.douyin.com/NhrH2tb/
- 代码代码：https://v.douyin.com/NhrBqpc/
*/
if(src_x < -1 || src_x >= src_width || src_y < -1 || src_y >= src_height){
// out of range
// src_x < -1时，其高位high_x < 0，超出范围
// src_x >= -1时，其高位high_x >= 0，存在取值
}else{
int y_low = floorf(src_y);
int x_low = floorf(src_x);
int y_high = y_low + 1;
int x_high = x_low + 1;
uint8_t const_values[] = {fill_value, fill_value, fill_value};
float ly = src_y - y_low;
float lx = src_x - x_low;
float hy = 1 - ly;
float hx = 1 - lx;
float w1 = hy * hx, w2 = hy * lx, w3 = ly * hx, w4 = ly * lx;
uint8_t* v1 = const_values;
uint8_t* v2 = const_values;
uint8_t* v3 = const_values;
uint8_t* v4 = const_values;
if(y_low >= 0){
if (x_low >= 0)
v1 = src + y_low * src_line_size + x_low * 3;
if (x_high < src_width)
v2 = src + y_low * src_line_size + x_high * 3;
}
if(y_high < src_height){
if (x_low >= 0)
v3 = src + y_high * src_line_size + x_low * 3;
if (x_high < src_width)
v4 = src + y_high * src_line_size + x_high * 3;
}
c0 = floorf(w1 * v1[0] + w2 * v2[0] + w3 * v3[0] + w4 * v4[0] + 0.5f);
c1 = floorf(w1 * v1[1] + w2 * v2[1] + w3 * v3[1] + w4 * v4[1] + 0.5f);
c2 = floorf(w1 * v1[2] + w2 * v2[2] + w3 * v3[2] + w4 * v4[2] + 0.5f);
}
uint8_t* pdst = dst + dy * dst_line_size + dx * 3;
pdst[0] = c0; pdst[1] = c1; pdst[2] = c2;
}
void warp_affine_bilinear(
/*
建议先阅读代码，若有疑问，可点击抖音短视频进行辅助讲解(建议1.5倍速观看)
- https://v.douyin.com/Nhre7fV/
*/
uint8_t* src, int src_line_size, int src_width, int src_height,
uint8_t* dst, int dst_line_size, int dst_width, int dst_height,
uint8_t fill_value
){
dim3 block_size(32, 32); // blocksize最大就是1024，这里用2d来看更好理解
dim3 grid_size((dst_width + 31) / 32, (dst_height + 31) / 32);
AffineMatrix affine;
affine.compute(Size(src_width, src_height), Size(dst_width, dst_height));
warp_affine_bilinear_kernel<<<grid_size, block_size, 0, nullptr>>>(
src, src_line_size, src_width, src_height,
dst, dst_line_size, dst_width, dst_height,
fill_value, affine
);
} |
4,450 | #include "includes.h"
using namespace std;
//using namespace std::chrono;
int test_reduce(int* v);
using namespace std;
__global__ void reduce0(int *g_idata, int *g_odata) {
extern __shared__ int sdata[];
// each thread loads one element from global to shared mem
unsigned int tid = threadIdx.x;
unsigned int i = blockIdx.x * blockDim.x + threadIdx.x;
sdata[tid] = g_idata[i];
__syncthreads();
// do reduction in shared mem
for(unsigned int s = 1; s < blockDim.x; s *= 2) {
if (tid % (2 * s) == 0) {
sdata[tid] += sdata[tid + s];
}
__syncthreads();
}
// write result for this block to global mem
if (tid == 0) g_odata[blockIdx.x] = sdata[0];
} |
4,451 | #include <cuda.h>
#include <stdio.h>
__global__ void dkernel (unsigned* arr) {
unsigned id = blockIdx.x * blockDim.x * blockDim.y * blockDim.z
+ threadIdx.z * blockDim.y * blockDim.x
+ threadIdx.y * blockDim.x
+ threadIdx.x;
arr[id] = 0;
// printf ("threadIdx. x, y, z = %d, %d, %d\n", threadIdx.x, threadIdx.y, threadIdx.z);
}
__global__ void add (unsigned* arr) {
unsigned id = blockIdx.x * blockDim.x * blockDim.y * blockDim.z
+ threadIdx.z * blockDim.y * blockDim.x
+ threadIdx.y * blockDim.x
+ threadIdx.x;
arr[id] += id;
}
#define N 8 // blockDim.x
#define M 8 // blockDim.y
#define L 125 // blockDim.z
int main() {
dim3 block(N, M, L);
unsigned *arr, *harr;
printf ("Size of Array = %d\n", N * M * L);
cudaMalloc (&arr, N * M * L * sizeof(unsigned));
harr = (unsigned *)malloc (N * M * L * sizeof(unsigned));
dkernel<<<1, block>>> (arr);
add<<<1, block>>> (arr);
cudaMemcpy (harr, arr, N * M * L * sizeof(unsigned), cudaMemcpyDeviceToHost);
for (unsigned ii = 0; ii < N; ii++) {
for (unsigned jj = 0; jj < M; jj++) {
for (unsigned kk = 0; kk < L; kk++) {
printf ("%d ", harr[ii * M * L + jj * L + kk]);
}
printf("\n");
}
printf("\n");
}
return 0;
}
|
4,452 | #include "includes.h"
__global__ void AccuracyDivideKernel(const int N, float* accuracy) {
*accuracy /= N;
} |
4,453 | #pragma once
#define CUDA_CALL(x) do { if((x) != cudaSuccess) { \
printf("Error at %s:%d -- %s\n",__FILE__,__LINE__, cudaGetErrorString(x));}} while(0)
|
4,454 | #include <stdio.h>
#include <stdlib.h>
#include <iostream>
#include <math.h>
#include <string.h>
#include <sys/time.h>
using namespace std;
//**************************************************************************
double cpuSecond()
{
struct timeval tp;
gettimeofday(&tp, NULL);
return((double)tp.tv_sec + (double)tp.tv_usec*1e-6);
}
/************************Kernel memoria global
*
* El kernel realiza todo el computo del ejercicio propuesto.
* Se divide en 2 fases, una primera en la que se calcula el vector C usando
* memoria global y una segunda fase en la que se hace una reduccion para
* calcular tanto D como mx, ambos usando memroria compartida.
*/
__global__ void transformacion_kernel_global(float * A, float * B, float * C,
float * D, float * mx)
{
int tid = threadIdx.x; // id del thread dentro del bloque
int Bsize = blockDim.x; // tamaño de bloque
int i= tid + Bsize * blockIdx.x; // identificador de thread global
float c = 0.0; // valor a calcular
extern __shared__ float sdata[]; // memoria compartida
float *sdata_A = sdata; // Puntero al primer valor de A
float *sdata_B = sdata+Bsize; // Puntero al primer valor de B
float *sdata_C = sdata+Bsize*2; // Puntero al primer valor de C
float *sdata_C2 = sdata+Bsize*3; // Puntero al primer valor de una copia de C
// Paso a memoria compartida de A y B
*(sdata_A+tid) = A[i];
*(sdata_B+tid) = B[i];
__syncthreads();
//***************************Calculo de C *******************
int jinicio = blockIdx.x * Bsize; // inicio del bloque al que pertenece C[i]
int jfin = jinicio + Bsize; // fin del bloque al que pertenece C[i]
for (int j = jinicio; j < jfin; j++){
float a = A[j] * i;
int signo = int(ceil(a))%2 == 0 ? 1 : -1;
c += a + B[j] * signo;
}
C[i] = c;
*(sdata_C+tid) = c;
*(sdata_C2+tid) = c;
__syncthreads();
//***************************Calculo de D y mx (Reduccion) *******************
float n, m;
for (int s=blockDim.x/2; s>0; s>>=1){
if (tid < s){
n = *(sdata_C2+tid);
m = *(sdata_C2+tid+s);
*(sdata_C+tid) += *(sdata_C+tid+s);
*(sdata_C2+tid) = (n > m) ? n : m;
}
__syncthreads(); // garantiza que todos los demas threads estan en el mismo momento del calculo, sirve para dos cosas, 1) que todos los threads tengan valores correctos para reducir 2) que permita al thread 0 guardar el resultado correcto en memoria global
}
//El primer thread del bloque guarda el resultado de la reduccion en el vector de memoria global
if (tid == 0){
D[blockIdx.x] = *(sdata_C);
mx[blockIdx.x] = *(sdata_C2);
}
}
/************************Kernel memoria compartida
*
* El kernel es exactamente el mismo que en memoria global a excepción del bloque de cálculo
* de C en el que se utiliza Memoria compartida
*/
__global__ void transformacion_kernel_shared(float * A, float * B, float * C,
float * D, float * mx)
{
int tid = threadIdx.x;
int Bsize = blockDim.x;
int i= tid + Bsize * blockIdx.x;
float c = 0.0; // valor a calcular
extern __shared__ float sdata[]; // memoria compartida
float *sdata_A = sdata; // Puntero al primer valor de A
float *sdata_B = sdata+Bsize; // Puntero al primer valor de B
float *sdata_C = sdata+Bsize*2; // Puntero al primer valor de C
float *sdata_C2 = sdata+Bsize*3; // Puntero al primer valor de una copia de C
// Paso a memoria compartida de A y B
*(sdata_A+tid) = A[i];
*(sdata_B+tid) = B[i];
__syncthreads();
//***************************Calculo de C *******************
// Se prescinde de jinicio y jfin ya que como trabajamos con memoria compartida.
for (int j = 0; j < Bsize; j++){
float a = *(sdata_A+j) * i;
int signo = int(ceil(a))%2 == 0 ? 1 : -1;
c += a + *(sdata_B+j) * signo;
}
C[i] = c;
*(sdata_C+tid) = c;
*(sdata_C2+tid) = c;
__syncthreads();
//***************************Calculo de D y mx (Reduccion) *******************
float n, m;
for (int s=blockDim.x/2; s>0; s>>=1){
if (tid < s){
n = *(sdata_C2+tid);
m = *(sdata_C2+tid+s);
*(sdata_C+tid) += *(sdata_C+tid+s);
*(sdata_C2+tid) = (n > m) ? n : m;
}
__syncthreads(); // garantiza que todos los demas threads estan en el mismo momento del calculo, sirve para dos cosas, 1) que todos los threads tengan valores correctos para reducir 2) que permita al thread 0 guardar el resultado correcto en memoria global
}
//El primer thread del bloque guarda el resultado de la reduccion en el vector de memoria global
if (tid == 0){
D[blockIdx.x] = *(sdata_C);
mx[blockIdx.x] = *(sdata_C2);
}
}
//**************************************************************************
int main(int argc, char *argv[])
{
//Get GPU information
int devID;
cudaDeviceProp props;
cudaError_t err;
err = cudaGetDevice(&devID);
if(err != cudaSuccess) {
cout << "ERRORRR" << endl;
}
cudaGetDeviceProperties(&props, devID);
printf("Device %d: \"%s\" with Compute %d.%d capability\n", devID, props.name, props.major, props.minor);
int Bsize, NBlocks;
if (argc != 3)
{ cout << "Uso: transformacion Num_bloques Tam_bloque "<<endl;
return(0);
}
else
{NBlocks = atoi(argv[1]);
Bsize= atoi(argv[2]);
}
const int N=Bsize*NBlocks;
//* pointers to host memory */
float *A, *B, *C,*D;
//* Allocate arrays a, b and c on host*/
A = new float[N];
B = new float[N];
C = new float[N];
D = new float[NBlocks];
dim3 threadsPerBlock(Bsize, 1);
dim3 numBlocks(NBlocks, 1);
float mx; // maximum of C
int sizeVectoresEntrada = N*sizeof(float);
int sizeVectoresSalida = NBlocks*sizeof(float);
// resultado kernel
float* D_global = new float[NBlocks];
float* D_shared = new float[NBlocks];
float* mx_global = new float[NBlocks];
float* mx_shared = new float[NBlocks];
// variables device de vectores
float* d_A, *d_B, *d_C,*d_D_global, *d_mx_global, *d_D_shared, *d_mx_shared;
// reserva de espacio device
d_A = NULL;
err = cudaMalloc((void **) &d_A, sizeVectoresEntrada);
if(err != cudaSuccess) cout << "ERROR RESERVA A" << endl;
d_B = NULL;
err = cudaMalloc((void **) &d_B, sizeVectoresEntrada);
if(err != cudaSuccess) cout << "ERROR RESERVA B" << endl;
d_C = NULL;
err = cudaMalloc((void **) &d_C, sizeVectoresEntrada);
if(err != cudaSuccess) cout << "ERROR RESERVA C" << endl;
d_D_global = NULL;
err = cudaMalloc((void **) &d_D_global, sizeVectoresSalida);
if(err != cudaSuccess) cout << "ERROR RESERVA D" << endl;
d_mx_global = NULL;
err = cudaMalloc((void **) &d_mx_global, sizeVectoresSalida);
if(err != cudaSuccess) cout << "ERROR RESERVA MX" << endl;
d_D_shared = NULL;
err = cudaMalloc((void **) &d_D_shared, sizeVectoresSalida);
if(err != cudaSuccess) cout << "ERROR RESERVA D" << endl;
d_mx_shared = NULL;
err = cudaMalloc((void **) &d_mx_shared, sizeVectoresSalida);
if(err != cudaSuccess) cout << "ERROR RESERVA MX" << endl;
//* Initialize arrays A and B */
for (int i=0; i<N;i++)
{ A[i]= (float) (1 -(i%100)*0.001);
B[i]= (float) (0.5+(i%10) *0.1 );
}
// Time measurement
double t1;//=clock();
/************************* GPU Global Memory Phase ********************************/
t1 = cpuSecond();
// copy A and B to device
err = cudaMemcpy(d_A, A, sizeVectoresEntrada, cudaMemcpyHostToDevice);
if (err != cudaSuccess) cout << "ERROR COPIA A" << endl;
err = cudaMemcpy(d_B, B, sizeVectoresEntrada, cudaMemcpyHostToDevice);
if (err != cudaSuccess) cout << "ERROR COPIA B" << endl;
int smemSize = Bsize*4*sizeof(float); // 4 * tamaño de 1 bloque (A, B, C, C2)
transformacion_kernel_global<<<numBlocks, threadsPerBlock, smemSize>>>(
d_A, d_B, d_C, d_D_global, d_mx_global);
cudaMemcpy(D_global, d_D_global, NBlocks*sizeof(float), cudaMemcpyDeviceToHost);
cudaMemcpy(mx_global, d_mx_global, NBlocks*sizeof(float), cudaMemcpyDeviceToHost);
float mx_global_final = mx_global[0];
cudaDeviceSynchronize();
// final reduction on CPU
for (int k = 1; k<NBlocks; k++)
mx_global_final = (mx_global_final > mx_global[k]) ? mx_global_final : mx_global[k];
double tgpu_global=cpuSecond()-t1;
/************************* GPU Shared Memory Phase ********************************/
t1 = cpuSecond();
transformacion_kernel_shared<<<numBlocks, threadsPerBlock, smemSize>>>(
d_A, d_B, d_C, d_D_shared, d_mx_shared);
cudaMemcpy(D_shared, d_D_shared, NBlocks*sizeof(float), cudaMemcpyDeviceToHost);
cudaMemcpy(mx_shared, d_mx_shared, NBlocks*sizeof(float), cudaMemcpyDeviceToHost);
float mx_shared_final = mx_shared[0];
cudaDeviceSynchronize();
// final reduction on CPU
for (int k = 1; k<NBlocks; k++)
mx_shared_final = (mx_shared_final > mx_shared[k]) ? mx_shared_final : mx_shared[k];
double tgpu_shared=cpuSecond()-t1;
/************************* CPU Phase ********************************/
t1 = cpuSecond();
// Compute C[i], d[K] and mx
for (int k=0; k<NBlocks;k++){
int istart=k*Bsize;
int iend =istart+Bsize;
D[k]=0.0;
for (int i=istart; i<iend;i++){
C[i]=0.0;
for (int j=istart; j<iend;j++){
float a=A[j]*i;
if ((int)ceil(a) % 2 ==0)
C[i]+= a + B[j];
else
C[i]+= a - B[j];
}
D[k]+=C[i];
mx=(i==1)?C[0]:max(C[i],mx);
}
}
double tcpu = cpuSecond()-t1;
//Imprimir datos por pantalla
cout << endl;
cout << "Tiempo de cpu : " << tcpu << endl;
cout << "Tiempo de gpu (memoria global) : " << tgpu_global << endl;
cout << "Tiempo de gpu (memoria compartida) : " << tgpu_shared << endl << endl;
cout << "Ganancia de gpu (memoria global) : " << tcpu / tgpu_global << endl;
cout << "Ganancia de gpu (memoria compartida) : " << tcpu / tgpu_shared << endl<<endl<<endl;
cout << "Valor máximo de C (cpu) : " << mx << endl;
cout << "Valor máximo de C (gpu memoria global) : " << mx_global_final << endl;
cout << "Valor máximo de C (gpu memoria compartida) : " << mx_shared_final << endl;
//* Free the memory */
delete(A);
delete(B);
delete(C);
delete(D);
} |
4,455 | #include <stdio.h>
#include <stdlib.h>
#include <cuda_runtime.h>
#include <iostream>
#include <fstream>
__global__ void simple_histo(unsigned int * d_bins, unsigned int * d_in, unsigned int BIN_SIZE, unsigned int IN_SIZE)
{
unsigned int myId = threadIdx.x + blockDim.x * blockIdx.x;
// checking for out-of-bounds
if (myId>=(1<<29))
{
return;
}
unsigned int myItem = d_in[myId];
unsigned int myBin = myItem % BIN_SIZE;
atomicAdd(&(d_bins[myBin]), 1);
}
__global__ void bad_histo(unsigned int * d_bins, unsigned int * d_in, unsigned int BIN_SIZE, unsigned int IN_SIZE)
{
unsigned int myId = threadIdx.x + blockDim.x * blockIdx.x;
// checking for out-of-bounds
if (myId>=IN_SIZE)
{
return;
}
unsigned int myItem = d_in[myId];
unsigned int myBin = myItem % BIN_SIZE;
d_bins[myBin]++;
}
int main(int argc, char **argv)
{
std::ofstream myfile;
myfile.open ("par_histogram.csv");
// printf("---STARTED---\n");
unsigned int times = 10;
// Vars
unsigned int IN_SIZE;
unsigned int IN_BYTES;
unsigned int BIN_SIZE;
unsigned int BIN_BYTES;
unsigned int NUM_THREADS;
unsigned int NUM_BLOCKS;
unsigned int j;
unsigned int sum;
for(unsigned int rounds = 0; rounds<30; rounds++)
{
IN_SIZE = 1<<29;
IN_BYTES = sizeof(unsigned int) * IN_SIZE;
BIN_SIZE = 1<<rounds;
BIN_BYTES = sizeof(unsigned int) * BIN_SIZE;
NUM_THREADS = 1<<10;
NUM_BLOCKS = IN_SIZE/NUM_THREADS + ((IN_SIZE % NUM_THREADS)?1:0);
// Generate the input array on host
unsigned int * h_in = (unsigned int *)malloc(IN_BYTES);
unsigned int * h_bins = (unsigned int *)malloc(BIN_BYTES);
for (j = 0; j<IN_SIZE; j++) {h_in[j] = j;} //printf(" h_in[%d]: %d\n", j, h_in[j]);}
// Declare GPU memory pointers
/* printf("\n@@@ROUND@@@: %d\n", rounds);
printf("---IN_SIZE---: %d\n", IN_SIZE);
printf("---IN_BYTES---: %d\n", IN_BYTES);
printf("---BIN_SIZE---: %d\n", BIN_SIZE);
printf("---BIN_BYTES---: %d\n", BIN_BYTES);
printf("---THREAD_SIZE---: %d\n", NUM_THREADS);
printf("---NUM_BLOCKS---: %d\n", NUM_BLOCKS);
*/
unsigned * d_in;
unsigned * d_bins;
// Allocate GPU memory
cudaMalloc(&d_in, IN_BYTES);
// printf("---ALLOCATED D_IN---\n");
cudaMalloc(&d_bins, BIN_BYTES);
// printf("---ALLOCATED D_IN---\n");
// Transfer the arrays to the GPU
cudaMemcpy(d_in, h_in, IN_BYTES, cudaMemcpyHostToDevice);
cudaEvent_t start, stop;
cudaEventCreate(&start);
cudaEventCreate(&stop);
cudaEventRecord(start, 0);
// running the code on the GPU $times times
for (unsigned int k = 0; k<times; k++)
{
cudaMemset(d_bins, 0, BIN_BYTES);
simple_histo<<<NUM_BLOCKS, NUM_THREADS>>>(d_bins, d_in, BIN_SIZE, IN_SIZE);
}
cudaEventRecord(stop, 0);
cudaEventSynchronize(stop);
// calculating time
float elapsedTime = .0f;
cudaEventElapsedTime(&elapsedTime, start, stop);
elapsedTime = elapsedTime / ((float) times);
// printf(" time: %.5f\n", elapsedTime);
// Copy back to HOST
cudaMemcpy(h_bins, d_bins, BIN_BYTES, cudaMemcpyDeviceToHost);
sum = 0;
for(unsigned int i = 0; i<BIN_SIZE; i++){sum += h_bins[i];}
for(unsigned int i = 0; (i<BIN_SIZE) && (i<10); i++)
{
printf("bin %d: count %d\n", i, h_bins[i]);
}
printf("%d\n", sum);
// free GPU memory allocation
cudaFree(d_in);
cudaFree(d_bins);
free(h_in);
free(h_bins);
myfile << elapsedTime << ",";
}
myfile.close();
return 0;
}
|
4,456 | #include <cuda.h>
#include <stdio.h>
#include <stdlib.h>
__global__ void mandelKernel(float stepX, float stepY, float lowerX, float lowerY, int* img_result, int maxIterations, int pitch, int groups) {
// To avoid error caused by the floating number, use the following pseudo code
//
// float x = lowerX + thisX * stepX;
// float y = lowerY + thisY * stepY;
for(int cnt = 0; cnt < groups; ++cnt) {
float x = lowerX + ((blockIdx.x * blockDim.x + threadIdx.x) * groups + cnt) * stepX;
float y = lowerY + (blockIdx.y * blockDim.y + threadIdx.y) * stepY;
float z_re = x, z_im = y;
int i;
for (i = 0; i < maxIterations; ++i) {
if (z_re * z_re + z_im * z_im > 4.f)
break;
float new_re = z_re * z_re - z_im * z_im;
float new_im = 2.f * z_re * z_im;
z_re = x + new_re;
z_im = y + new_im;
}
int* idx = (int*)((char*)img_result + (blockIdx.y * blockDim.y + threadIdx.y) * pitch) + (blockIdx.x * blockDim.x + threadIdx.x) * groups + cnt;
*idx = i;
}
}
// Host front-end function that allocates the memory and launches the GPU kernel
void hostFE (float upperX, float upperY, float lowerX, float lowerY, int* img, int resX, int resY, int maxIterations)
{
float stepX = (upperX - lowerX) / resX;
float stepY = (upperY - lowerY) / resY;
// Declare the host memory
int *h_result;
cudaHostAlloc((void **)&h_result, resX * resY * sizeof(int), cudaHostAllocDefault);
// Declare the cuda memory
int *c_result, groups = 5;
size_t pitch;
cudaMallocPitch((void **)&c_result, &pitch, sizeof(int) * resX, resY); // 4 * 1600 = 6400 -> pitch = 6656
dim3 blockSize(16, 16);
dim3 numBlock(resX / 80, resY / 16);
mandelKernel<<<numBlock, blockSize>>>(stepX, stepY, lowerX, lowerY, c_result, maxIterations, pitch, groups);
// 等待 GPU 所有 thread 完成
cudaDeviceSynchronize();
// 將 Device 的資料傳回給 Host
cudaMemcpy2D(h_result, resX * sizeof(int), c_result, pitch, resX * sizeof(int), resY, cudaMemcpyDeviceToHost);
for(int i = 0; i < resX * resY; ++i) {
*(img+i) = *(h_result+i);
}
// free memory
cudaFreeHost(h_result);
cudaFree(c_result);
}
|
4,457 |
#include <iostream>
#include <cuda.h>
extern "C"
__global__
void kernel(volatile float *A, volatile float *B) {
unsigned Idx = blockDim.x*blockIdx.x + threadIdx.x;
float Temp = A[Idx+1];
float Temp1 = A[Idx+2];
float Temp2 = A[Idx+3];
if (threadIdx.x > 100000) {
B[Idx+2] = Temp + Temp1 + Temp2;
}
}
int main() {
float *A;
float *B;
std::cout << "Block Size X,Block Size Y,Block Size Z,Elements/Thread,Time Tile Size,Dimensions,Register Usage,Num Blocks X,Num Blocks Y,Num Blocks Z,Time Steps,phase2_global_loads,phase2_shared_loads,compute_per_point,phase3_shared_loads,phase4_global_stores,shared_stores,num_fields,data_size,phase_limit,Elapsed Time,EventElapsed,\n";
for (unsigned Block = 32; Block < 512+1; Block += 32) {
for (unsigned Grid = 30; Grid < 1000+1; Grid += 30) {
cudaMalloc(&A, sizeof(float)*4096*4096);
cudaMalloc(&B, sizeof(float)*4096*4096);
cudaEvent_t Start, Stop;
cudaEventCreate(&Start);
cudaEventCreate(&Stop);
cudaEventRecord(Start, 0);
kernel<<<Grid, Block>>>(A, B);
cudaEventRecord(Stop, 0);
cudaEventSynchronize(Stop);
float Elapsed;
cudaEventElapsedTime(&Elapsed, Start, Stop);
Elapsed /= 1e3;
cudaEventDestroy(Start);
cudaEventDestroy(Stop);
cudaDeviceProp DeviceProp;
cudaGetDeviceProperties(&DeviceProp, 0);
double Clock = DeviceProp.clockRate * 1e3;
cudaFuncAttributes FuncAttrs;
memset(&FuncAttrs, 0, sizeof(cudaFuncAttributes));
cudaFuncGetAttributes(&FuncAttrs, "kernel");
cudaFree(A);
cudaFree(B);
std::cout << Block << ",1,1,1,1,1," << FuncAttrs.numRegs << "," << Grid << ",1,1,1,1,0,0,0,1,0,1,4,0," << Elapsed << "," << Elapsed << ",\n";
}
}
return 0;
}
|
4,458 | #include <stdio.h>
#include <stdlib.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include "device_launch_parameters.h"
// compute the A1 operator
__global__ void A1_kernel(double* r, double* v, double dt, size_t N)
{
size_t id = blockIdx.x*blockDim.x + threadIdx.x;
r[id] += v[id] * dt;
}
// compute the A2 operator
__global__ void A2_kernel(double *r, double *v, double *m, double dt, double *v0arr, size_t numParticles)
{
int bid = blockIdx.x;
// x, y and z components of vector that points from particle i to particle 0
double dirvec[3];
dirvec[0] = r[0] - r[3*(bid+1)];
dirvec[1] = r[1] - r[3*(bid+1) + 1];
dirvec[2] = r[2] - r[3*(bid+1) + 2];
// distance between particle i to 0
double dist = sqrt((dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2])*\
(dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2])*\
(dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2]));
// update velocities of particles 1 -> N-1 due to acceleration from 0
v[3*(bid+1)] += (m[0] / dist) * dirvec[0] * dt;
v[3*(bid+1)+1] += (m[0] / dist) * dirvec[1] * dt;
v[3*(bid+1)+2] += (m[0] / dist) * dirvec[2] * dt;
// deal with particle 0 since it isn't completely independent for each thread
v0arr[0] = v[0];
v0arr[numParticles] = v[1];
v0arr[2*numParticles] = v[2];
// store acceleration due to particles in the format:
// v0arr = [x1, x2, ..., xN-1, y1, y2, ..., yN-1, ...]
// i.e. x direction updates due to all particles, then y direction, then z
v0arr[bid+1] = -(m[bid+1] / dist) * dirvec[0] * dt;
v0arr[numParticles+1+bid] = -(m[bid+1] / dist) * dirvec[1] * dt;
v0arr[2*numParticles+1+bid] = -(m[bid+1] / dist) * dirvec[2] * dt;
}
// perform reduction to add up the x, y and z segments separately
__global__ void reduce0arr(double *in_data) {
size_t tid = threadIdx.x;
size_t n = blockDim.x;
while (n != 0)
{
if (tid < n)
in_data[tid] += in_data[tid + n];
__syncthreads();
n /= 2;
}
}
// compute the B operator
__global__ void B_kernel(double *r, double *v, double *m, double dt, size_t numParticles)
{
size_t bid = blockIdx.x;
double dirvec[3];
double dist;
// forward loop: goes from current particle to particle N-1
for (int i = 1; i+bid+1 < numParticles; i++)
{
// x, y and z components of vector that points from particle j to particle k
dirvec[0] = r[3*(bid+1)] - r[3*(i+bid+1)];
dirvec[1] = r[3*(bid+1)+1] - r[3*(i+bid+1)+1];
dirvec[2] = r[3*(bid+1)+2] - r[3*(i+bid+1)+2];
// distance between particle j and k
dist = sqrt((dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2])*\
(dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2])*\
(dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2]));
// update one particle per thread
v[3*(bid+1)] -= (m[bid+1+i] / dist) * dirvec[0] * dt;
v[3*(bid+1)+1] -= (m[bid+1+i] / dist) * dirvec[1] * dt;
v[3*(bid+1)+2] -= (m[bid+1+i] / dist) * dirvec[2] * dt;
}
if (bid >= 1)
{
// backwards loop: goes from current particle to particle 1
for (int i = bid; i > 0; i--)
{
dirvec[0] = r[3*(bid+1)] - r[3*i];
dirvec[1] = r[3*(bid+1)+1] - r[3*i+1];
dirvec[2] = r[3*(bid+1)+2] - r[3*i+2];
dist = sqrt((dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2])*\
(dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2])*\
(dirvec[0]*dirvec[0] + dirvec[1]*dirvec[1] + dirvec[2]*dirvec[2]));
v[3*(bid+1)] -= (m[i] / dist) * dirvec[0] * dt;
v[3*(bid+1)+1] -= (m[i] / dist) * dirvec[1] * dt;
v[3*(bid+1)+2] -= (m[i] / dist) * dirvec[2] * dt;
}
}
}
int main()
{
size_t numParticles = 4; size_t i;
size_t N = 3 * numParticles;
size_t N_bytes = N * sizeof(double);
// allocate memory on host
double *r_h = (double*)malloc(N_bytes);
double *v_h = (double*)malloc(N_bytes);
double *m_h = (double*)malloc(N_bytes/3);
double *v0arr_h = (double*)malloc(N_bytes);
double *in_data_h = (double*)malloc(N_bytes/3);
// initalize variables
r_h[0]=0; r_h[1]=0; r_h[2]=0; r_h[3]=1; r_h[4]=0; r_h[5]=0; r_h[6]=0; r_h[7]=1.932; r_h[8]=0; r_h[9]=2.45; r_h[10]=0; r_h[11]=0;
v_h[0]=0; v_h[1]=0; v_h[2]=0; v_h[3]=0; v_h[4]=1; v_h[5]=0; v_h[6]=-0.72; v_h[7]=0; v_h[8]=0; v_h[9]=0; v_h[10]=-0.65; v_h[11]=0;
m_h[0]=1; m_h[1]=0.00095; m_h[2]=0.000285; m_h[3]=0.000111;
// time step
double dt = 0.05;
// allocate memory on device
double *r_d, *v_d, *m_d, *v0arr_d, *in_data_d;
cudaMalloc((void**) &r_d, N_bytes);
cudaMalloc((void**) &v_d, N_bytes);
cudaMalloc((void**) &m_d, N_bytes/3);
cudaMalloc((void**) &v0arr_d, N_bytes);
cudaMalloc((void**) &in_data_d, N_bytes);
// write to device
cudaMemcpy(r_d, r_h, N_bytes, cudaMemcpyHostToDevice);
cudaMemcpy(v_d, v_h, N_bytes, cudaMemcpyHostToDevice);
cudaMemcpy(m_d, m_h, N_bytes/3, cudaMemcpyHostToDevice);
// compute one time step
A1_kernel<<<numParticles, 3>>>(r_d, v_d, dt/4, N);
A2_kernel<<<numParticles-1,1>>>(r_d, v_d, m_d, dt/2, v0arr_d, numParticles);
cudaMemcpy(v_h, v_d, N_bytes, cudaMemcpyDeviceToHost);
cudaMemcpy(v0arr_h, v0arr_d, N_bytes, cudaMemcpyDeviceToHost);
// perform reduction for each segment of v0arr and copy to v_h
for (i = 0; i < 3; i++)
{
memcpy(in_data_h, v0arr_h + i*numParticles, N_bytes/3);
cudaMemcpy(in_data_d, in_data_h, N_bytes/3, cudaMemcpyHostToDevice);
reduce0arr<<<1,numParticles/2>>>(in_data_d);
cudaMemcpy(in_data_h, in_data_d, N_bytes/3, cudaMemcpyDeviceToHost);
v_h[i] = in_data_h[0];
}
cudaMemcpy(v_d, v_h, N_bytes, cudaMemcpyHostToDevice);
cudaMemcpy(v0arr_d, v0arr_h, N_bytes, cudaMemcpyHostToDevice);
A1_kernel<<<numParticles, 3>>>(r_d, v_d, dt/4, N);
B_kernel<<<numParticles-1, 1>>>(r_d, v_d, m_d, dt, numParticles);
A1_kernel<<<numParticles, 3>>>(r_d, v_d, dt/4, N);
A2_kernel<<<numParticles-1,1>>>(r_d, v_d, m_d, dt/2, v0arr_d, numParticles);
cudaMemcpy(v_h, v_d, N_bytes, cudaMemcpyDeviceToHost);
cudaMemcpy(v0arr_h, v0arr_d, N_bytes, cudaMemcpyDeviceToHost);
// perform reduction for each segment of v0arr and copy to v_h
for (i = 0; i < 3; i++)
{
memcpy(in_data_h, v0arr_h + i*numParticles, N_bytes/3);
cudaMemcpy(in_data_d, in_data_h, N_bytes/3, cudaMemcpyHostToDevice);
reduce0arr<<<1,numParticles/2>>>(in_data_d);
cudaMemcpy(in_data_h, in_data_d, N_bytes/3, cudaMemcpyDeviceToHost);
v_h[i] = in_data_h[0];
}
cudaMemcpy(v_d, v_h, N_bytes, cudaMemcpyHostToDevice);
cudaMemcpy(v0arr_d, v0arr_h, N_bytes, cudaMemcpyHostToDevice);
A1_kernel<<<numParticles, 3>>>(r_d, v_d, dt/4, N);
// end time step
cudaMemcpy(r_h, r_d, N_bytes, cudaMemcpyDeviceToHost);
cudaMemcpy(v_h, v_d, N_bytes, cudaMemcpyDeviceToHost);
for (i = 0; i < N; i++)
printf("%.15lf ", r_h[i]);
printf("\n");
for (i=0; i < N; i++)
printf("%.15lf ", v_h[i]);
printf("\n");
// release memory allocated on host and device
cudaFree(r_d);
cudaFree(v_d);
cudaFree(m_d);
cudaFree(v0arr_d);
cudaFree(in_data_d);
free(r_h);
free(v_h);
free(m_h);
free(v0arr_h);
free(in_data_h);
}
|
4,459 | #include "stack.cuh"
#include <stdio.h>
__host__ __device__
Stack::Stack(int max_size){
// this->stack_data = new int[ max_size ];
// memset(this->stack_data, 0, max_size);
this->top = 0;
this->size = max_size;
}
__host__ __device__
Stack::~Stack(){
// delete [] stack_data;
}
__host__ __device__
bool Stack::push(int x){
if (this->top < this->size - 1){
this->stack_data[this->top] = x;
this->top++;
return true;
}
else{
return false;
}
}
__host__ __device__
bool Stack::pop(int& value){
if (this->top > 0){
this->top--;
value = this->stack_data[this->top];
return true;
}
else{
return false;
}
}
__host__ __device__
bool Stack::peek(int& value){
if (this->top > 0){
value = this->stack_data[this->top-1];
return true;
}
else{
return false;
}
} |
4,460 | /*
Contributors: Yizhao Gao (yizhaotsccsj@gmail.com)
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "io.cuh"
//rasterStat inputFileName inputCount inputPCcount xMin yMin xMax yMax cellSize outputFileName
int rasterStat(char * inputFileName, int minRzn, int numRzn, char * inputPCName, float xMin, float yMin, float xMax, float yMax, float cellSize, char * outputFileName, int epsgCode)
{
FILE ** inputFilesC;
FILE ** inputFilesP;
FILE * inputPCcountFile;
// FILE * outputFile;
int nRow, nCol;
int * nPop, * nCase;
char tempFileName[500];
float * rowCase;
float * rowPop;
float * cellCase;
float * cellPop;
// float * cellLike;
int nNA;
float * mean;
float * max;
float * min;
float * median;
float * q1;
float * q3;
float * meanPop;
float * range;
float * iqr;
int * notNA;
float * sd;
/*
float * meanL;
float * maxL;
float * minL;
float * medianL;
float * q1L;
float * q3L;
*/
if(numRzn < 0 || numRzn > 10000)
{
printf("invalid numOfMaps, should be more than 0 and less than 10000\n");
exit(1);
}
if(NULL == (inputFilesC = (FILE **) malloc(sizeof(FILE *) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (inputFilesP = (FILE **) malloc(sizeof(FILE *) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
for(int i = 0; i < numRzn; i++)
{
sprintf(tempFileName, "%s_rzn%03d", inputFileName, (minRzn + i));
if(NULL == (inputFilesC[i] = fopen(tempFileName, "rb")))
{
printf("ERROR: Can't open input case file: %s.\n", tempFileName);
exit(1);
}
sprintf(tempFileName, "%s_rzn%03d_P", inputFileName, (minRzn + i));
if(NULL == (inputFilesP[i] = fopen(tempFileName, "rb")))
{
printf("ERROR: Can't open input population file: %s.\n", tempFileName);
exit(1);
}
}
if(NULL == (inputPCcountFile = fopen(inputPCName, "r")))
{
printf("ERROR: Can't open input population-and-case-count file: %s.\n", tempFileName);
exit(1);
}
if(NULL == (nPop = (int *)malloc(sizeof(int) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (nCase = (int *)malloc(sizeof(int) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
for(int i = 0; i < numRzn; i++)
{
fscanf(inputPCcountFile, "%s %d %d\n", tempFileName, nPop + i, nCase + i);
}
fclose(inputPCcountFile);
nCol = ceil((xMax - xMin)/cellSize);
nRow = ceil((yMax - yMin)/cellSize);
xMax = xMin + cellSize * nCol;
yMax = yMin + cellSize * nRow;
// printf("####################\n");
// printf("nRow: %d\tnCol: %d\n", nRow, nCol);
// printf("xMax: %f\txMin: %f\nyMax: %f\tyMin: %f\n",xMax,xMin,yMax,yMin);
// printf("####################\n");
if(NULL == (rowCase = (float *) malloc (sizeof(float) * numRzn * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (rowPop = (float *) malloc (sizeof(float) * numRzn * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (cellCase = (float *) malloc (sizeof(int) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (cellPop = (float *) malloc (sizeof(int) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
/*
if(NULL == (cellLike = (float *) malloc (sizeof(int) * numRzn)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
*/
if(NULL == (notNA = (int *) malloc (sizeof(int) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (mean = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (max = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (min = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (median = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (q1 = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (q3 = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (meanPop = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (range = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (iqr = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (sd = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
/*
if(NULL == (meanL = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (maxL = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (minL = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (medianL = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (q1L = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
if(NULL == (q3L = (float *) malloc (sizeof(float) * nRow * nCol)))
{
printf("ERROR: Out of memory in line %d!\n", __LINE__);
exit(1);
}
*/
float tempF;
float tempFS;
for(int i = 0; i < nRow; i++)
{
for(int k = 0; k < numRzn; k++)
{
if(nCol != fread(rowCase + k * nCol, sizeof(float), nCol, inputFilesC[k]))
{
printf("Wrong input file size or nRow, nCol!\n");
exit(1);
}
if(nCol != fread(rowPop + k * nCol, sizeof(float), nCol, inputFilesP[k]))
{
printf("Wrong input file size or nRow, nCol!\n");
exit(1);
}
}
for(int j = 0; j < nCol; j++)
{
nNA = 0;
for(int k = 0; k < numRzn; k++)
{
if(rowPop[k * nCol + j] > 0)
{
cellCase[nNA] = rowCase[k * nCol + j];
cellPop[nNA] = rowPop[k * nCol + j];
//cellLike[nNA] = pow(cellCase[nNA]/cellPop[nNA], cellCase[nNA]) * pow((cellPop[nNA] - cellCase[nNA])/cellPop[nNA], (cellPop[nNA] - cellCase[nNA])) * pow((nCase[k] - cellCase[nNA])/(nPop[k] - cellPop[nNA]), (nCase[k] - cellCase[nNA])) * pow((nPop[k] - cellPop[nNA] - nCase[k] + cellCase[nNA])/(nPop[k] - cellPop[nNA]), (nPop[k] - cellPop[nNA] - nCase[k] + cellCase[nNA]));
//cellLike[nNA] = cellCase[nNA] * log(cellCase[nNA]/cellPop[nNA]) + (cellPop[nNA] - cellCase[nNA]) * log((cellPop[nNA] - cellCase[nNA])/cellPop[nNA]) + (nCase[k] - cellCase[nNA]) * log((nCase[k] - cellCase[nNA])/(nPop[k] - cellPop[nNA])) + (nPop[k] - cellPop[nNA] - nCase[k] + cellCase[nNA]) * log((nPop[k] - cellPop[nNA] - nCase[k] + cellCase[nNA])/(nPop[k] - cellPop[nNA]));
cellCase[nNA] = cellCase[nNA] / cellPop[nNA];
nNA ++;
}
}
if(0 == nNA)
{
mean[i * nCol + j] = -1;
max[i * nCol + j] = -1;
min[i * nCol + j] = -1;
median[i * nCol + j] = -1;
q1[i * nCol + j] = -1;
q3[i * nCol + j] = -1;
meanPop[i * nCol + j] = -1;
range[i * nCol + j] = -1;
iqr[i * nCol + j] = -1;
sd[i * nCol + j] = -1;
/* meanL[i * nCol + j] = 1;
maxL[i * nCol + j] = 1;
minL[i * nCol + j] = 1;
medianL[i * nCol + j] = 1;
q1L[i * nCol + j] = 1;
q3L[i * nCol + j] = 1;
*/
}
else
{
//Sort Porprotion
for(int k = 0; k < nNA - 1; k++)
{
int maxID = k;
for(int l = k + 1; l < nNA; l++)
{
if(cellCase[maxID] < cellCase[l])
{
maxID = l;
}
}
if(maxID != k)
{
tempF = cellCase[k];
cellCase[k] = cellCase[maxID];
cellCase[maxID] = tempF;
}
}
//Calcualte statistics
max[i * nCol + j] = cellCase[0];
min[i * nCol + j] = cellCase[nNA-1];
if(0==nNA%2)
{
median[i * nCol + j] = (cellCase[nNA/2] + cellCase[nNA/2-1]) / 2;
}
else
{
median[i * nCol + j] = cellCase[nNA/2];
}
q3[i * nCol + j] = cellCase[(int)((float)nNA/4-0.5)];
q1[i * nCol + j] = cellCase[(int)((float)nNA/4*3-0.5)];
tempF = 0.0;
tempFS = 0.0;
for(int k = 0; k < nNA; k++)
{
tempF += cellCase[k];
tempFS += cellCase[k] * cellCase[k];
}
mean[i * nCol + j] = tempF / nNA;
sd[i * nCol + j] = sqrt(tempFS / nNA - (tempF / nNA) * (tempF / nNA));
tempF = 0.0;
for(int k = 0; k < nNA; k++)
{
tempF += cellPop[k];
}
meanPop[i * nCol + j] = tempF / numRzn;
range[i * nCol + j] = max[i * nCol + j] - min[i * nCol + j];
iqr[i * nCol + j] = q3[i * nCol + j] - q1[i * nCol + j];
/*
//Sort Likelihood
for(int k = 0; k < nNA - 1; k++)
{
int maxID = k;
for(int l = k + 1; l < nNA; l++)
{
if(cellLike[maxID] < cellLike[l])
{
maxID = l;
}
}
if(maxID != k)
{
tempF = cellLike[k];
cellLike[k] = cellLike[maxID];
cellLike[maxID] = tempF;
}
}
maxL[i * nCol + j] = cellLike[0];
minL[i * nCol + j] = cellLike[nNA-1];
if(0==nNA%2)
{
medianL[i * nCol + j] = (cellLike[nNA/2] + cellLike[nNA/2-1]) / 2;
}
else
{
medianL[i * nCol + j] = cellLike[nNA/2];
}
q3L[i * nCol + j] = cellLike[(int)((float)nNA/4-0.5)];
q1L[i * nCol + j] = cellLike[(int)((float)nNA/4*3-0.5)];
tempF = 0;
for(int k = 0; k < nNA; k++)
{
tempF += cellLike[k];
}
meanL[i * nCol + j] = tempF / nNA;
*/
}
notNA[i * nCol + j] = nNA;
}
}
for(int i = 0; i < numRzn; i++)
{
fclose(inputFilesC[i]);
fclose(inputFilesP[i]);
}
//Write output files
sprintf(tempFileName, "%s_mean.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, mean, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, mean, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_max.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, max, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, max, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_min.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, min, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, min, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_1q.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, q1, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, q1, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_3q.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, q3, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, q3, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_median.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, median, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, median, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_nNA.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridI(outputFile, notNA, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffI(tempFileName, notNA, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_meanPop.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, meanPop, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, meanPop, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_range.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, range, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, range, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_iqr.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, iqr, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, iqr, nRow, nCol, xMin, yMax, cellSize, epsgCode);
sprintf(tempFileName, "%s_sd.tif", outputFileName);
// if(NULL == (outputFile = fopen(tempFileName, "w")))
// {
// printf("ERROR: Can't open output file%s.\n", tempFileName);
// exit(1);
// }
// writeGridF(outputFile, sd, nRow, nCol, xMin, yMin, cellSize);
// fclose(outputFile);
writeGeoTiffF(tempFileName, sd, nRow, nCol, xMin, yMax, cellSize, epsgCode);
/*
sprintf(tempFileName, "%s_meanLikelihood.asc", outputFileName);
if(NULL == (outputFile = fopen(tempFileName, "w")))
{
printf("ERROR: Can't open output file%s.\n", tempFileName);
exit(1);
}
writeGridF(outputFile, meanL, nRow, nCol, xMin, yMin, cellSize, 1);
fclose(outputFile);
sprintf(tempFileName, "%s_maxLikelihood.asc", outputFileName);
if(NULL == (outputFile = fopen(tempFileName, "w")))
{
printf("ERROR: Can't open output file%s.\n", tempFileName);
exit(1);
}
writeGridF(outputFile, maxL, nRow, nCol, xMin, yMin, cellSize, 1);
fclose(outputFile);
sprintf(tempFileName, "%s_minLikelihood.asc", outputFileName);
if(NULL == (outputFile = fopen(tempFileName, "w")))
{
printf("ERROR: Can't open output file%s.\n", tempFileName);
exit(1);
}
writeGridF(outputFile, minL, nRow, nCol, xMin, yMin, cellSize, 1);
fclose(outputFile);
sprintf(tempFileName, "%s_1qLikelihood.asc", outputFileName);
if(NULL == (outputFile = fopen(tempFileName, "w")))
{
printf("ERROR: Can't open output file%s.\n", tempFileName);
exit(1);
}
writeGridF(outputFile, q1L, nRow, nCol, xMin, yMin, cellSize, 1);
fclose(outputFile);
sprintf(tempFileName, "%s_3qLikelihood.asc", outputFileName);
if(NULL == (outputFile = fopen(tempFileName, "w")))
{
printf("ERROR: Can't open output file%s.\n", tempFileName);
exit(1);
}
writeGridF(outputFile, q3L, nRow, nCol, xMin, yMin, cellSize, 1);
fclose(outputFile);
sprintf(tempFileName, "%s_medianLikelihood.asc", outputFileName);
if(NULL == (outputFile = fopen(tempFileName, "w")))
{
printf("ERROR: Can't open output file%s.\n", tempFileName);
exit(1);
}
writeGridF(outputFile, medianL, nRow, nCol, xMin, yMin, cellSize, 1);
fclose(outputFile);
*/
//Clean up resourses
free(inputFilesC);
free(inputFilesP);
free(rowCase);
free(rowPop);
free(cellCase);
free(cellPop);
// free(cellLike);
free(notNA);
free(mean);
free(max);
free(min);
free(median);
free(q1);
free(q3);
free(meanPop);
free(range);
free(iqr);
free(sd);
/*
free(meanL);
free(maxL);
free(minL);
free(medianL);
free(q1L);
free(q3L);
*/
free(nPop);
free(nCase);
//printf("Finished!\n");
return 0;
}
|
4,461 | #include "includes.h"
/*
Hello world of wave propagation in CUDA. FDTD acoustic wave propagation in homogeneous medium. Second order accurate in time and eigth in space.
Oleg Ovcharenko
Vladimir Kazei, 2019
oleg.ovcharenko@kaust.edu.sa
vladimir.kazei@kaust.edu.sa
*/
/*
Add this to c_cpp_properties.json if linting isn't working for CUDA libraries
"includePath": [
"/usr/local/cuda-10.0/targets/x86_64-linux/include",
"${workspaceFolder}/**"
],
*/
// Check error codes for CUDA functions
__global__ void kernel_add_wavelet(float *d_u, float *d_wavelet, int it)
{
/*
d_u :pointer to an array on device where to add source term
d_wavelet :pointer to an array on device with source signature
it :time step id
*/
unsigned int gx = blockIdx.x * blockDim.x + threadIdx.x;
unsigned int gy = blockIdx.y * blockDim.y + threadIdx.y;
unsigned int idx = gy * c_nx + gx;
if ((gx == c_isrc) && (gy == c_jsrc))
{
d_u[idx] += d_wavelet[it];
}
} |
4,462 | #include <iostream>
#include <math.h>
#include <vector>
#include <iomanip>
#include <sstream>
#include <string>
#include <fstream>
#include <thread>
#include <ctime>
#include <stdio.h>
#define BLOCK_SIZE (128)
#define WORK_SIZE_BITS 16
#define SEEDS_PER_CALL ((1ULL << (WORK_SIZE_BITS)) * (BLOCK_SIZE))
#define GPU_ASSERT(code) gpuAssert((code), __FILE__, __LINE__)
inline void gpuAssert(cudaError_t code, const char *file, int line) {
if (code != cudaSuccess) {
fprintf(stderr, "GPUassert: %s (code %d) %s %d\n", cudaGetErrorString(code), code, file, line);
exit(code);
}
}
__device__ static int next(int64_t *seed, const int bits)
{
*seed = (*seed * 0x5deece66d + 0xb) & ((1LL << 48) - 1);
return (int) (*seed >> (48 - bits));
}
__device__ static int nextInt(int64_t *seed, const int n)
{
int bits, val;
const int m = n - 1;
if((m & n) == 0) return (int) ((n * (int64_t)next(seed, 31)) >> 31);
do {
bits = next(seed, 31);
val = bits % n;
}
while (bits - val + m < 0);
return val;
}
__global__ __launch_bounds__(BLOCK_SIZE,2) static void threadWork(int64_t offset, uint32_t* counter, int64_t* buffer){
uint64_t worldSeed = (blockIdx.x * blockDim.x + threadIdx.x) + offset;
int64_t seed = worldSeed;
int64_t tempSeed = (seed * 21586261248413UL + 164331561754775UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
tempSeed = (tempSeed * 25214903917UL + 11UL) & 281474976710655UL;
tempSeed = (tempSeed * 25214903917UL + 11UL) & 281474976710655UL;
tempSeed = (tempSeed * 25214903917UL + 11UL) & 281474976710655UL;
int xWiggle = nextInt(&tempSeed, 2) + 2;
int zWiggle = nextInt(&tempSeed, 2) + 2;
if(!(xWiggle == 3 && zWiggle == 2))return;
//0th
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//first column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) == 0)return;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//second column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) == 0)return;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//third column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) != 0)return;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//fourth column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) != 0)return;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//fifth column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) != 0)return;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//sixth column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) != 0)return;
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
//seventh column
seed = (seed * 25214903917UL + 11UL) & 281474976710655UL;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) == 0)return;
if(next(&seed, 2) != 0)return;
if(next(&seed, 2) == 0)return;
buffer[atomicAdd(counter, 1)] = worldSeed;
}
int64_t* buffer;
uint32_t* counter;
int main(int argc, char **argv ){
int64_t startValue = 0;
int64_t total = 281474976710656;
time_t start = time(NULL);
FILE* fp = fopen("seananners-dfloor.txt", "w+");
double seconds_per_structure_seed = 0.0;
int thread = 0;
int curr = 0;
uint64_t amount = total - startValue;
int tmpCount = 0;
GPU_ASSERT(cudaMallocManaged(&buffer, sizeof(int64_t) * SEEDS_PER_CALL));
GPU_ASSERT(cudaPeekAtLastError());
GPU_ASSERT(cudaMallocManaged(&counter, sizeof(uint32_t)));
GPU_ASSERT(cudaPeekAtLastError());
cudaSetDevice(0);
GPU_ASSERT(cudaPeekAtLastError());
GPU_ASSERT(cudaDeviceSynchronize());
uint64_t countOut = 0;
uint64_t tempCount;
for(int64_t offset = 0; offset < amount; offset += SEEDS_PER_CALL){
int64_t value = startValue + offset;
threadWork<<<1ULL<<WORK_SIZE_BITS,BLOCK_SIZE>>>(value, counter, buffer);
GPU_ASSERT(cudaPeekAtLastError());
GPU_ASSERT(cudaDeviceSynchronize());
for(int i = 0; i < *counter; i++){
int64_t timeGuess = buffer[i];
fprintf(fp, "%lld\n", timeGuess);
}
if(countOut >= 100000000000){
time_t tempTime = time(NULL);
uint64_t tempDiff = tempTime - start;
double sps = (double)offset/(double)tempDiff;
double percent = ((double)offset/(double)amount) * 100.0;
printf("Seeds Per Second: %f\tProgress: %f\n", sps, percent);
countOut = 0;
}
*counter = 0;
countOut += SEEDS_PER_CALL;
}
time_t end = time(NULL);
uint64_t diff = end - start;
double seedsPerSec = (double)total/(double)diff;
printf("Time taken: %lld\nSeeds per second: %15.9f", diff, seedsPerSec);
fclose(fp);
return 0;
} |
4,463 | #include <stdio.h>
__global__
void hello_kernel() {
printf("hello world from cuda thread %d\n", int(threadIdx.x));
}
int main(void) {
hello_kernel<<<1, 32>>>();
cudaDeviceSynchronize();
return 0;
}
|
4,464 | #include "includes.h"
__global__ void updateWalkers ( const int dim, const int nwl, const float *xx1, const float *q, const float *r, float *xx0 ) {
int i = threadIdx.x + blockDim.x * blockIdx.x;
int j = threadIdx.y + blockDim.y * blockIdx.y;
int t = i + j * dim;
if ( i < dim && j < nwl ) {
//if ( q[j] > r[j] ) {
xx0[t] = ( q[j] > r[j] ) * xx1[t] + ( q[j] <= r[j] ) * xx0[t];
//}
}
} |
4,465 |
#include "cuda_runtime.h"
#include "device_launch_parameters.h"
#include <iostream>
using namespace std;
int main()
{
int count;
cudaGetDeviceCount(&count);
cudaDeviceProp prop;
for (int i = 0; i < count; ++i)
{
cudaGetDeviceProperties(&prop, i);
cout << "Device " << i << ": " << prop.name << endl;
cout << "Compute Capability: " << prop.major << "." << prop.minor << endl;
}
return 0;
}
|
4,466 | extern "C"
__global__ void multiply(int sizeB, int max, double** A, double* B, double* C, double* Displacement)
{
int tid = threadIdx.x + blockIdx.x * blockDim.x;
if(tid < sizeB){
double sum = 0.0;
int index_neighbor;
for(int i = 0; i < max; i++) {
index_neighbor = (int)A[2*tid][i];
sum = sum + A[2*tid + 1][i]*B[index_neighbor];
}
C[tid] = sum;
Displacement[tid] = B[tid] - C[tid];
}
} |
4,467 | //
// sumaMatrices.cu
//
//
// Created by Amilcar Meneses Viveros on 15/02/18.
//
//
#include <stdio.h>
#define M 8192
#define N 8192
double a[M][N], b[M][N], c[M][N];
__global__ void kernelSumaMatrices(double *a, double *b, double *c, int m, int n) {
int i = threadIdx.x+blockIdx.x*blockDim.x;
int j = threadIdx.y+blockIdx.y*blockDim.y;
while (i<m) {
j = threadIdx.y+blockIdx.y*blockDim.y;
while (j<n) {
a[i*n+j] = b[i*n+j]+c[i*n+j];
j += blockDim.x*gridDim.x;
}
i+=blockDim.y*gridDim.y;
}
}
void sumaMatricesEnDevice(double a[][N], double b[][N], double c[][N], int m, int n) {
int size=m*n*sizeof(double);
double *aD, *bD, *cD;
dim3 nb(4,4);
dim3 nt(32,32);
cudaSetDevice(0);
// 1. Reservar memoria
cudaMalloc(&aD, size); cudaMalloc(&bD, size); cudaMalloc(&cD, size);
// 2. Subir datos del Host a Device
cudaMemcpy(bD, b, size, cudaMemcpyDefault);
cudaMemcpy(cD, c, size, cudaMemcpyDefault);
// 3. Ejecutar kernel
kernelSumaMatrices<<<nb, nt>>>(aD, bD, cD, m, n);
// 4. Bajar datos del Device al Host
cudaMemcpy(a, aD, size, cudaMemcpyDefault);
// 5.Libera memoria
cudaFree(aD); cudaFree(bD); cudaFree(cD);
}
int main() {
int i, j;
for (i=0; i<M; i++) {
for (j=0; j<N; j++) {
b[i][j] = c[i][j] = i+j;
}
}
sumaMatricesEnDevice(a, b, c, M, N);
for (i=M-1; i<M; i++) {
for (j=0; j<N; j++) {
printf("%3.2lf ", a[i][j]);
}
printf("\n");
}
}
|
4,468 | #include "includes.h"
__global__ static void k_zero_comp_xyz(float *data, uint n, uint stride)
{
uint i = blockIdx.x * blockDim.x + threadIdx.x;
uint p = blockIdx.y;
if (i < n) {
data[i + p * stride] = 0.f;
}
} |
4,469 | #include <stdio.h>
#define M 3
#define N 3
#define P 3
__global__ void kernel(float*,float*,float*);
void random_floats(float*,int);
void print_matrix(float*,int,int);
int main(int argc,char** argv) {
/**
* Init all variables
*/
int a_size = sizeof(float)*M*N,
b_size = sizeof(float)*N*P,
result_size = sizeof(float)*M*P;
float a[] = {1,2,3,4,5,6,7,8,9},
b[] = {9,8,7,6,5,4,3,2,1},
answer[] = {30,24,18,84,69,54,138,114,90},
*result = (float*)malloc(result_size),
*d_a,
*d_b,
*d_result;
/**
* Setup device memory
*/
cudaMalloc((void**)&d_a,a_size);
cudaMalloc((void**)&d_b,b_size);
cudaMalloc((void**)&d_result,result_size);
cudaMemcpy(d_a,a,a_size,cudaMemcpyHostToDevice);
cudaMemcpy(d_b,b,b_size,cudaMemcpyHostToDevice);
/**
* Start GPU
*/
kernel<<<P,M>>>(d_a,d_b,d_result);
/**
* Copy results back to host
*/
cudaMemcpy(result,d_result,sizeof(float)* M * P,cudaMemcpyDeviceToHost);
/**
* Print results
*/
printf("Result: \n");
print_matrix(result,M,P);
printf("Expected: \n");
print_matrix(answer,M,P);
/**
* Cleanup memory
*/
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_result);
free(result);
return 0;
}
void print_matrix(float *a,int cols,int rows) {
int i,j;
for(i=0;i<cols;i++) {
for(j=0;j<rows;j++)
printf("%f ",a[i*M+j]);
printf("\n");
}
}
__global__ void kernel(float *a,float *b,float *result) {
bool extra_a;
int row = blockIdx.x,
col = threadIdx.x,
a_count,
offset,
i;
/**
* Allocate shared memory
*/
__shared__ float local_a[M];
__shared__ float local_b[N*P];
/**
* Each thread is responsible for loading:
* 1. An entire column from table b
* 2. Thread 0 loads row from a
*/
extra_a = M%blockDim.x>0&&M%blockDim.x<threadIdx.x;
a_count = (extra_a)?M/blockDim.x+1:M/blockDim.x;
offset = (extra_a)?a_count*threadIdx.x:a_count*threadIdx.x+M%blockDim.x;
for(i=0;i<a_count;i++)
local_a[offset+i] = a[row*M+offset+i];
for(i=0;i<P;i++) {
offset = i*N+threadIdx.x;
local_b[offset] = b[offset];
}
__syncthreads();
/**
* Computer cell value
*/
for(result[row*M+col]=0,i=0;i<N;i++)
result[row*M+col] += local_a[i] * local_b[i*N+col];
}
void random_floats(float* a, int size) {
int i;
for(i=0;i<size;i++)
a[i] = rand() % 8 + 1; //generate a number betwee 1 and 9
}
|
4,470 | #include <cstdio>
#include <cstdlib>
#include <cuda_runtime.h>
#include <device_launch_parameters.h>
__global__ void hello(char *a, int *b)
{
for (int i=0; i<7; ++i)
{
a[i] += b[i];
}
}
int main(int argc, char* argv[])
{
// Hello Array
char a[7] = "Hello ";
// Array with paddings (last one must be 0, so the string
// terminates correctly)
int b[7] = {15, 10, 6, 0, -11, 1, 0};
// pointers to device arrays
char *ad;
int *bd;
// print "Hello "
printf("%s", a);
// size of memory to be copied
size_t charArraySize = 7*sizeof(char);
size_t intArraySize = 7*sizeof(int);
// alloc memory on device and copy the data
cudaMalloc( (void**)&ad, charArraySize );
cudaMalloc( (void**)&bd, intArraySize );
cudaMemcpy( ad, a, charArraySize, cudaMemcpyHostToDevice );
cudaMemcpy( bd, b, intArraySize, cudaMemcpyHostToDevice );
// start the thread on the device
hello<<< 1, 1 >>>(ad, bd);
// copy back the result
cudaMemcpy( a, ad, charArraySize, cudaMemcpyDeviceToHost );
// free the device memory
cudaFree( ad );
cudaFree( bd );
// print the padded string "World!"
printf("%s\n", a);
return EXIT_SUCCESS;
}
|
4,471 | #include <stdlib.h>
#include <stdio.h>
#include <cuda_runtime.h>
#include <time.h>
#define __DEBUG
#define VSQR 0.1
#define TSCALE 1.0
#define CUDA_CALL( err ) __cudaSafeCall( err, __FILE__, __LINE__ )
#define CUDA_CHK_ERR() __cudaCheckError(__FILE__,__LINE__)
extern int tpdt(double *t, double dt, double end_time);
/**************************************
* void __cudaSafeCall(cudaError err, const char *file, const int line)
* void __cudaCheckError(const char *file, const int line)
*
* These routines were taken from the GPU Computing SDK
* (http://developer.nvidia.com/gpu-computing-sdk) include file "cutil.h"
**************************************/
inline void __cudaSafeCall( cudaError err, const char *file, const int line )
{
#ifdef __DEBUG
#pragma warning( push )
#pragma warning( disable: 4127 ) // Prevent warning on do-while(0);
do
{
if ( cudaSuccess != err )
{
fprintf( stderr, "cudaSafeCall() failed at %s:%i : %s\n",
file, line, cudaGetErrorString( err ) );
exit( -1 );
}
} while ( 0 );
#pragma warning( pop )
#endif // __DEBUG
return;
}
inline void __cudaCheckError( const char *file, const int line )
{
#ifdef __DEBUG
#pragma warning( push )
#pragma warning( disable: 4127 ) // Prevent warning on do-while(0);
do
{
cudaError_t err = cudaGetLastError();
if ( cudaSuccess != err )
{
fprintf( stderr, "cudaCheckError() failed at %s:%i : %s.\n",
file, line, cudaGetErrorString( err ) );
exit( -1 );
}
// More careful checking. However, this will affect performance.
// Comment if not needed.
/*err = cudaThreadSynchronize();
if( cudaSuccess != err )
{
fprintf( stderr, "cudaCheckError() with sync failed at %s:%i : %s.\n",
file, line, cudaGetErrorString( err ) );
exit( -1 );
}*/
} while ( 0 );
#pragma warning( pop )
#endif // __DEBUG
return;
}
__device__ double f_CUDA(double p, double t)
{
return -__expf(-TSCALE * t) * p;
}
__global__ void evolve9ptCUDA(double *un, double *uc, double *uo, double *pebbles, int n, double h, double dt, double t) {
int idx = (blockIdx.x * gridDim.x + blockIdx.y) * blockDim.x * blockDim.y + threadIdx.x * blockDim.x + threadIdx.y;
int i = idx / n;
int j = idx % n;
if(!(i == 0 || i == n - 1 || j == 0 || j == n - 1))
un[idx] = 2*uc[idx] - uo[idx] + VSQR *(dt * dt) *((uc[idx-1] + uc[idx+1] + uc[idx + n] + uc[idx - n] + 0.25*(uc[idx + n - 1] + uc[idx + n + 1] + uc[idx - n - 1] + uc[idx - n + 1])- 5 * uc[idx])/(h * h) + f_CUDA(pebbles[idx],t));
else un[idx] = 0.;
}
void run_gpu(double *u, double *u0, double *u1, double *pebbles, int n, double h, double end_time, int nthreads)
{
cudaEvent_t kstart, kstop;
float ktime;
double *un, *uc, *uo, *pb, *temp;
double t, dt;
/* Set up device timers */
CUDA_CALL(cudaSetDevice(0));
CUDA_CALL(cudaEventCreate(&kstart));
CUDA_CALL(cudaEventCreate(&kstop));
t = 0.;
dt = h/2.;
cudaMalloc((void **)&un, sizeof(double) * n * n);
cudaMalloc((void **)&uc, sizeof(double) * n * n);
cudaMalloc((void **)&uo, sizeof(double) * n * n);
cudaMalloc((void **)&pb, sizeof(double) * n * n);
cudaMemcpy(uo, u0, sizeof(double) * n * n, cudaMemcpyHostToDevice);
cudaMemcpy(uc, u1, sizeof(double) * n * n, cudaMemcpyHostToDevice);
cudaMemcpy(pb, pebbles, sizeof(double) * n * n, cudaMemcpyHostToDevice);
dim3 block_dim(nthreads, nthreads,1);
dim3 grid_dim(n/nthreads, n/nthreads,1);
/* Start GPU computation timer */
CUDA_CALL(cudaEventRecord(kstart, 0));
while(1)
{
evolve9ptCUDA<<<grid_dim, block_dim>>>(un, uc, uo, pb, n, h, dt, t);
temp = uc;
uc = un;
un = uo;
uo = temp;
if(!tpdt(&t, dt, end_time))
break;
}
cudaMemcpy(u, uc, sizeof(double) * n * n, cudaMemcpyDeviceToHost);
/* Stop GPU computation timer */
CUDA_CALL(cudaEventRecord(kstop, 0));
CUDA_CALL(cudaEventSynchronize(kstop));
CUDA_CALL(cudaEventElapsedTime(&ktime, kstart, kstop));
printf("GPU computation: %f msec\n", ktime);
cudaFree(un);
cudaFree(uc);
cudaFree(uo);
cudaFree(pb);
/* timer cleanup */
CUDA_CALL(cudaEventDestroy(kstart));
CUDA_CALL(cudaEventDestroy(kstop));
}
|
4,472 | #include <stdio.h>
__global__ void helloFromGPU (int n)
{
printf("Hello from GPU with grid %d and thread %d\n", n, threadIdx.x);
//printf("From:%d, %d ", n, blockIdx.x);
}
int main (void)
{
helloFromGPU<<<1,10>>>(1);
cudaDeviceSynchronize();
helloFromGPU<<<5,2>>>(2);
cudaDeviceSynchronize();
printf("Hello CPU\n");
cudaDeviceSynchronize();
return 0;
}
|
4,473 | /* Produced by CVXGEN, 2017-11-20 12:18:48 -0500. */
/* CVXGEN is Copyright (C) 2006-2017 Jacob Mattingley, jem@cvxgen.com. */
/* The code in this file is Copyright (C) 2006-2017 Jacob Mattingley. */
/* CVXGEN, or solvers produced by CVXGEN, cannot be used for commercial */
/* applications without prior written permission from Jacob Mattingley. */
/* Filename: ldl.c. */
/* Description: Basic test harness for solver.c. */
#include "solver.cuh"
/* Be sure to place ldl_solve first, so storage schemes are defined by it. */
CUDA_CALLABLE_MEMBER
void ldl_solve(double *target, double *var, Workspace& work, Settings& settings) {
int i;
/* Find var = (L*diag(work.d)*L') \ target, then unpermute. */
/* Answer goes into var. */
/* Forward substitution. */
/* Include permutation as we retrieve from target. Use v so we can unpermute */
/* later. */
work.v[0] = target[20];
work.v[1] = target[21];
work.v[2] = target[22];
work.v[3] = target[23];
work.v[4] = target[24];
work.v[5] = target[25];
work.v[6] = target[26];
work.v[7] = target[27];
work.v[8] = target[28];
work.v[9] = target[29];
work.v[10] = target[30];
work.v[11] = target[31];
work.v[12] = target[32];
work.v[13] = target[33];
work.v[14] = target[34];
work.v[15] = target[35];
work.v[16] = target[36];
work.v[17] = target[37];
work.v[18] = target[38];
work.v[19] = target[39];
work.v[20] = target[40];
work.v[21] = target[41];
work.v[22] = target[42];
work.v[23] = target[43];
work.v[24] = target[44];
work.v[25] = target[45];
work.v[26] = target[46];
work.v[27] = target[47];
work.v[28] = target[48];
work.v[29] = target[49];
work.v[30] = target[50];
work.v[31] = target[51];
work.v[32] = target[52];
work.v[33] = target[53];
work.v[34] = target[54];
work.v[35] = target[55];
work.v[36] = target[56];
work.v[37] = target[57];
work.v[38] = target[58];
work.v[39] = target[59];
work.v[40] = target[60]-work.L[0]*work.v[0];
work.v[41] = target[61]-work.L[1]*work.v[1];
work.v[42] = target[62]-work.L[2]*work.v[2];
work.v[43] = target[63]-work.L[3]*work.v[3];
work.v[44] = target[64]-work.L[4]*work.v[4];
work.v[45] = target[65]-work.L[5]*work.v[5];
work.v[46] = target[66]-work.L[6]*work.v[6];
work.v[47] = target[67]-work.L[7]*work.v[7];
work.v[48] = target[68]-work.L[8]*work.v[8];
work.v[49] = target[69]-work.L[9]*work.v[9];
work.v[50] = target[70]-work.L[10]*work.v[10];
work.v[51] = target[71]-work.L[11]*work.v[11];
work.v[52] = target[72]-work.L[12]*work.v[12];
work.v[53] = target[73]-work.L[13]*work.v[13];
work.v[54] = target[74]-work.L[14]*work.v[14];
work.v[55] = target[75]-work.L[15]*work.v[15];
work.v[56] = target[76]-work.L[16]*work.v[16];
work.v[57] = target[77]-work.L[17]*work.v[17];
work.v[58] = target[78]-work.L[18]*work.v[18];
work.v[59] = target[79]-work.L[19]*work.v[19];
work.v[60] = target[80]-work.L[20]*work.v[20];
work.v[61] = target[81]-work.L[21]*work.v[21];
work.v[62] = target[82]-work.L[22]*work.v[22];
work.v[63] = target[83]-work.L[23]*work.v[23];
work.v[64] = target[84]-work.L[24]*work.v[24];
work.v[65] = target[85]-work.L[25]*work.v[25];
work.v[66] = target[86]-work.L[26]*work.v[26];
work.v[67] = target[87]-work.L[27]*work.v[27];
work.v[68] = target[88]-work.L[28]*work.v[28];
work.v[69] = target[89]-work.L[29]*work.v[29];
work.v[70] = target[90]-work.L[30]*work.v[30];
work.v[71] = target[91]-work.L[31]*work.v[31];
work.v[72] = target[92]-work.L[32]*work.v[32];
work.v[73] = target[93]-work.L[33]*work.v[33];
work.v[74] = target[94]-work.L[34]*work.v[34];
work.v[75] = target[95]-work.L[35]*work.v[35];
work.v[76] = target[96]-work.L[36]*work.v[36];
work.v[77] = target[97]-work.L[37]*work.v[37];
work.v[78] = target[98]-work.L[38]*work.v[38];
work.v[79] = target[99]-work.L[39]*work.v[39];
work.v[80] = target[100];
work.v[81] = target[0]-work.L[40]*work.v[40]-work.L[41]*work.v[60]-work.L[42]*work.v[80];
work.v[82] = target[1]-work.L[43]*work.v[41]-work.L[44]*work.v[61]-work.L[45]*work.v[80]-work.L[46]*work.v[81];
work.v[83] = target[2]-work.L[47]*work.v[42]-work.L[48]*work.v[62]-work.L[49]*work.v[80]-work.L[50]*work.v[81]-work.L[51]*work.v[82];
work.v[84] = target[3]-work.L[52]*work.v[43]-work.L[53]*work.v[63]-work.L[54]*work.v[80]-work.L[55]*work.v[81]-work.L[56]*work.v[82]-work.L[57]*work.v[83];
work.v[85] = target[4]-work.L[58]*work.v[44]-work.L[59]*work.v[64]-work.L[60]*work.v[80]-work.L[61]*work.v[81]-work.L[62]*work.v[82]-work.L[63]*work.v[83]-work.L[64]*work.v[84];
work.v[86] = target[5]-work.L[65]*work.v[45]-work.L[66]*work.v[65]-work.L[67]*work.v[80]-work.L[68]*work.v[81]-work.L[69]*work.v[82]-work.L[70]*work.v[83]-work.L[71]*work.v[84]-work.L[72]*work.v[85];
work.v[87] = target[6]-work.L[73]*work.v[46]-work.L[74]*work.v[66]-work.L[75]*work.v[80]-work.L[76]*work.v[81]-work.L[77]*work.v[82]-work.L[78]*work.v[83]-work.L[79]*work.v[84]-work.L[80]*work.v[85]-work.L[81]*work.v[86];
work.v[88] = target[7]-work.L[82]*work.v[47]-work.L[83]*work.v[67]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82]-work.L[87]*work.v[83]-work.L[88]*work.v[84]-work.L[89]*work.v[85]-work.L[90]*work.v[86]-work.L[91]*work.v[87];
work.v[89] = target[8]-work.L[92]*work.v[48]-work.L[93]*work.v[68]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83]-work.L[98]*work.v[84]-work.L[99]*work.v[85]-work.L[100]*work.v[86]-work.L[101]*work.v[87]-work.L[102]*work.v[88];
work.v[90] = target[9]-work.L[103]*work.v[49]-work.L[104]*work.v[69]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84]-work.L[110]*work.v[85]-work.L[111]*work.v[86]-work.L[112]*work.v[87]-work.L[113]*work.v[88]-work.L[114]*work.v[89];
work.v[91] = target[10]-work.L[115]*work.v[50]-work.L[116]*work.v[70]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85]-work.L[123]*work.v[86]-work.L[124]*work.v[87]-work.L[125]*work.v[88]-work.L[126]*work.v[89]-work.L[127]*work.v[90];
work.v[92] = target[11]-work.L[128]*work.v[51]-work.L[129]*work.v[71]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86]-work.L[137]*work.v[87]-work.L[138]*work.v[88]-work.L[139]*work.v[89]-work.L[140]*work.v[90]-work.L[141]*work.v[91];
work.v[93] = target[12]-work.L[142]*work.v[52]-work.L[143]*work.v[72]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87]-work.L[152]*work.v[88]-work.L[153]*work.v[89]-work.L[154]*work.v[90]-work.L[155]*work.v[91]-work.L[156]*work.v[92];
work.v[94] = target[13]-work.L[157]*work.v[53]-work.L[158]*work.v[73]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88]-work.L[168]*work.v[89]-work.L[169]*work.v[90]-work.L[170]*work.v[91]-work.L[171]*work.v[92]-work.L[172]*work.v[93];
work.v[95] = target[14]-work.L[173]*work.v[54]-work.L[174]*work.v[74]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89]-work.L[185]*work.v[90]-work.L[186]*work.v[91]-work.L[187]*work.v[92]-work.L[188]*work.v[93]-work.L[189]*work.v[94];
work.v[96] = target[15]-work.L[190]*work.v[55]-work.L[191]*work.v[75]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90]-work.L[203]*work.v[91]-work.L[204]*work.v[92]-work.L[205]*work.v[93]-work.L[206]*work.v[94]-work.L[207]*work.v[95];
work.v[97] = target[16]-work.L[208]*work.v[56]-work.L[209]*work.v[76]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91]-work.L[222]*work.v[92]-work.L[223]*work.v[93]-work.L[224]*work.v[94]-work.L[225]*work.v[95]-work.L[226]*work.v[96];
work.v[98] = target[17]-work.L[227]*work.v[57]-work.L[228]*work.v[77]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92]-work.L[242]*work.v[93]-work.L[243]*work.v[94]-work.L[244]*work.v[95]-work.L[245]*work.v[96]-work.L[246]*work.v[97];
work.v[99] = target[18]-work.L[247]*work.v[58]-work.L[248]*work.v[78]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93]-work.L[263]*work.v[94]-work.L[264]*work.v[95]-work.L[265]*work.v[96]-work.L[266]*work.v[97]-work.L[267]*work.v[98];
work.v[100] = target[19]-work.L[268]*work.v[59]-work.L[269]*work.v[79]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94]-work.L[285]*work.v[95]-work.L[286]*work.v[96]-work.L[287]*work.v[97]-work.L[288]*work.v[98]-work.L[289]*work.v[99];
/* Diagonal scaling. Assume correctness of work.d_inv. */
for (i = 0; i < 101; i++)
work.v[i] *= work.d_inv[i];
/* Back substitution */
work.v[99] -= work.L[289]*work.v[100];
work.v[98] -= work.L[267]*work.v[99]+work.L[288]*work.v[100];
work.v[97] -= work.L[246]*work.v[98]+work.L[266]*work.v[99]+work.L[287]*work.v[100];
work.v[96] -= work.L[226]*work.v[97]+work.L[245]*work.v[98]+work.L[265]*work.v[99]+work.L[286]*work.v[100];
work.v[95] -= work.L[207]*work.v[96]+work.L[225]*work.v[97]+work.L[244]*work.v[98]+work.L[264]*work.v[99]+work.L[285]*work.v[100];
work.v[94] -= work.L[189]*work.v[95]+work.L[206]*work.v[96]+work.L[224]*work.v[97]+work.L[243]*work.v[98]+work.L[263]*work.v[99]+work.L[284]*work.v[100];
work.v[93] -= work.L[172]*work.v[94]+work.L[188]*work.v[95]+work.L[205]*work.v[96]+work.L[223]*work.v[97]+work.L[242]*work.v[98]+work.L[262]*work.v[99]+work.L[283]*work.v[100];
work.v[92] -= work.L[156]*work.v[93]+work.L[171]*work.v[94]+work.L[187]*work.v[95]+work.L[204]*work.v[96]+work.L[222]*work.v[97]+work.L[241]*work.v[98]+work.L[261]*work.v[99]+work.L[282]*work.v[100];
work.v[91] -= work.L[141]*work.v[92]+work.L[155]*work.v[93]+work.L[170]*work.v[94]+work.L[186]*work.v[95]+work.L[203]*work.v[96]+work.L[221]*work.v[97]+work.L[240]*work.v[98]+work.L[260]*work.v[99]+work.L[281]*work.v[100];
work.v[90] -= work.L[127]*work.v[91]+work.L[140]*work.v[92]+work.L[154]*work.v[93]+work.L[169]*work.v[94]+work.L[185]*work.v[95]+work.L[202]*work.v[96]+work.L[220]*work.v[97]+work.L[239]*work.v[98]+work.L[259]*work.v[99]+work.L[280]*work.v[100];
work.v[89] -= work.L[114]*work.v[90]+work.L[126]*work.v[91]+work.L[139]*work.v[92]+work.L[153]*work.v[93]+work.L[168]*work.v[94]+work.L[184]*work.v[95]+work.L[201]*work.v[96]+work.L[219]*work.v[97]+work.L[238]*work.v[98]+work.L[258]*work.v[99]+work.L[279]*work.v[100];
work.v[88] -= work.L[102]*work.v[89]+work.L[113]*work.v[90]+work.L[125]*work.v[91]+work.L[138]*work.v[92]+work.L[152]*work.v[93]+work.L[167]*work.v[94]+work.L[183]*work.v[95]+work.L[200]*work.v[96]+work.L[218]*work.v[97]+work.L[237]*work.v[98]+work.L[257]*work.v[99]+work.L[278]*work.v[100];
work.v[87] -= work.L[91]*work.v[88]+work.L[101]*work.v[89]+work.L[112]*work.v[90]+work.L[124]*work.v[91]+work.L[137]*work.v[92]+work.L[151]*work.v[93]+work.L[166]*work.v[94]+work.L[182]*work.v[95]+work.L[199]*work.v[96]+work.L[217]*work.v[97]+work.L[236]*work.v[98]+work.L[256]*work.v[99]+work.L[277]*work.v[100];
work.v[86] -= work.L[81]*work.v[87]+work.L[90]*work.v[88]+work.L[100]*work.v[89]+work.L[111]*work.v[90]+work.L[123]*work.v[91]+work.L[136]*work.v[92]+work.L[150]*work.v[93]+work.L[165]*work.v[94]+work.L[181]*work.v[95]+work.L[198]*work.v[96]+work.L[216]*work.v[97]+work.L[235]*work.v[98]+work.L[255]*work.v[99]+work.L[276]*work.v[100];
work.v[85] -= work.L[72]*work.v[86]+work.L[80]*work.v[87]+work.L[89]*work.v[88]+work.L[99]*work.v[89]+work.L[110]*work.v[90]+work.L[122]*work.v[91]+work.L[135]*work.v[92]+work.L[149]*work.v[93]+work.L[164]*work.v[94]+work.L[180]*work.v[95]+work.L[197]*work.v[96]+work.L[215]*work.v[97]+work.L[234]*work.v[98]+work.L[254]*work.v[99]+work.L[275]*work.v[100];
work.v[84] -= work.L[64]*work.v[85]+work.L[71]*work.v[86]+work.L[79]*work.v[87]+work.L[88]*work.v[88]+work.L[98]*work.v[89]+work.L[109]*work.v[90]+work.L[121]*work.v[91]+work.L[134]*work.v[92]+work.L[148]*work.v[93]+work.L[163]*work.v[94]+work.L[179]*work.v[95]+work.L[196]*work.v[96]+work.L[214]*work.v[97]+work.L[233]*work.v[98]+work.L[253]*work.v[99]+work.L[274]*work.v[100];
work.v[83] -= work.L[57]*work.v[84]+work.L[63]*work.v[85]+work.L[70]*work.v[86]+work.L[78]*work.v[87]+work.L[87]*work.v[88]+work.L[97]*work.v[89]+work.L[108]*work.v[90]+work.L[120]*work.v[91]+work.L[133]*work.v[92]+work.L[147]*work.v[93]+work.L[162]*work.v[94]+work.L[178]*work.v[95]+work.L[195]*work.v[96]+work.L[213]*work.v[97]+work.L[232]*work.v[98]+work.L[252]*work.v[99]+work.L[273]*work.v[100];
work.v[82] -= work.L[51]*work.v[83]+work.L[56]*work.v[84]+work.L[62]*work.v[85]+work.L[69]*work.v[86]+work.L[77]*work.v[87]+work.L[86]*work.v[88]+work.L[96]*work.v[89]+work.L[107]*work.v[90]+work.L[119]*work.v[91]+work.L[132]*work.v[92]+work.L[146]*work.v[93]+work.L[161]*work.v[94]+work.L[177]*work.v[95]+work.L[194]*work.v[96]+work.L[212]*work.v[97]+work.L[231]*work.v[98]+work.L[251]*work.v[99]+work.L[272]*work.v[100];
work.v[81] -= work.L[46]*work.v[82]+work.L[50]*work.v[83]+work.L[55]*work.v[84]+work.L[61]*work.v[85]+work.L[68]*work.v[86]+work.L[76]*work.v[87]+work.L[85]*work.v[88]+work.L[95]*work.v[89]+work.L[106]*work.v[90]+work.L[118]*work.v[91]+work.L[131]*work.v[92]+work.L[145]*work.v[93]+work.L[160]*work.v[94]+work.L[176]*work.v[95]+work.L[193]*work.v[96]+work.L[211]*work.v[97]+work.L[230]*work.v[98]+work.L[250]*work.v[99]+work.L[271]*work.v[100];
work.v[80] -= work.L[42]*work.v[81]+work.L[45]*work.v[82]+work.L[49]*work.v[83]+work.L[54]*work.v[84]+work.L[60]*work.v[85]+work.L[67]*work.v[86]+work.L[75]*work.v[87]+work.L[84]*work.v[88]+work.L[94]*work.v[89]+work.L[105]*work.v[90]+work.L[117]*work.v[91]+work.L[130]*work.v[92]+work.L[144]*work.v[93]+work.L[159]*work.v[94]+work.L[175]*work.v[95]+work.L[192]*work.v[96]+work.L[210]*work.v[97]+work.L[229]*work.v[98]+work.L[249]*work.v[99]+work.L[270]*work.v[100];
work.v[79] -= work.L[269]*work.v[100];
work.v[78] -= work.L[248]*work.v[99];
work.v[77] -= work.L[228]*work.v[98];
work.v[76] -= work.L[209]*work.v[97];
work.v[75] -= work.L[191]*work.v[96];
work.v[74] -= work.L[174]*work.v[95];
work.v[73] -= work.L[158]*work.v[94];
work.v[72] -= work.L[143]*work.v[93];
work.v[71] -= work.L[129]*work.v[92];
work.v[70] -= work.L[116]*work.v[91];
work.v[69] -= work.L[104]*work.v[90];
work.v[68] -= work.L[93]*work.v[89];
work.v[67] -= work.L[83]*work.v[88];
work.v[66] -= work.L[74]*work.v[87];
work.v[65] -= work.L[66]*work.v[86];
work.v[64] -= work.L[59]*work.v[85];
work.v[63] -= work.L[53]*work.v[84];
work.v[62] -= work.L[48]*work.v[83];
work.v[61] -= work.L[44]*work.v[82];
work.v[60] -= work.L[41]*work.v[81];
work.v[59] -= work.L[268]*work.v[100];
work.v[58] -= work.L[247]*work.v[99];
work.v[57] -= work.L[227]*work.v[98];
work.v[56] -= work.L[208]*work.v[97];
work.v[55] -= work.L[190]*work.v[96];
work.v[54] -= work.L[173]*work.v[95];
work.v[53] -= work.L[157]*work.v[94];
work.v[52] -= work.L[142]*work.v[93];
work.v[51] -= work.L[128]*work.v[92];
work.v[50] -= work.L[115]*work.v[91];
work.v[49] -= work.L[103]*work.v[90];
work.v[48] -= work.L[92]*work.v[89];
work.v[47] -= work.L[82]*work.v[88];
work.v[46] -= work.L[73]*work.v[87];
work.v[45] -= work.L[65]*work.v[86];
work.v[44] -= work.L[58]*work.v[85];
work.v[43] -= work.L[52]*work.v[84];
work.v[42] -= work.L[47]*work.v[83];
work.v[41] -= work.L[43]*work.v[82];
work.v[40] -= work.L[40]*work.v[81];
work.v[39] -= work.L[39]*work.v[79];
work.v[38] -= work.L[38]*work.v[78];
work.v[37] -= work.L[37]*work.v[77];
work.v[36] -= work.L[36]*work.v[76];
work.v[35] -= work.L[35]*work.v[75];
work.v[34] -= work.L[34]*work.v[74];
work.v[33] -= work.L[33]*work.v[73];
work.v[32] -= work.L[32]*work.v[72];
work.v[31] -= work.L[31]*work.v[71];
work.v[30] -= work.L[30]*work.v[70];
work.v[29] -= work.L[29]*work.v[69];
work.v[28] -= work.L[28]*work.v[68];
work.v[27] -= work.L[27]*work.v[67];
work.v[26] -= work.L[26]*work.v[66];
work.v[25] -= work.L[25]*work.v[65];
work.v[24] -= work.L[24]*work.v[64];
work.v[23] -= work.L[23]*work.v[63];
work.v[22] -= work.L[22]*work.v[62];
work.v[21] -= work.L[21]*work.v[61];
work.v[20] -= work.L[20]*work.v[60];
work.v[19] -= work.L[19]*work.v[59];
work.v[18] -= work.L[18]*work.v[58];
work.v[17] -= work.L[17]*work.v[57];
work.v[16] -= work.L[16]*work.v[56];
work.v[15] -= work.L[15]*work.v[55];
work.v[14] -= work.L[14]*work.v[54];
work.v[13] -= work.L[13]*work.v[53];
work.v[12] -= work.L[12]*work.v[52];
work.v[11] -= work.L[11]*work.v[51];
work.v[10] -= work.L[10]*work.v[50];
work.v[9] -= work.L[9]*work.v[49];
work.v[8] -= work.L[8]*work.v[48];
work.v[7] -= work.L[7]*work.v[47];
work.v[6] -= work.L[6]*work.v[46];
work.v[5] -= work.L[5]*work.v[45];
work.v[4] -= work.L[4]*work.v[44];
work.v[3] -= work.L[3]*work.v[43];
work.v[2] -= work.L[2]*work.v[42];
work.v[1] -= work.L[1]*work.v[41];
work.v[0] -= work.L[0]*work.v[40];
/* Unpermute the result, from v to var. */
var[0] = work.v[81];
var[1] = work.v[82];
var[2] = work.v[83];
var[3] = work.v[84];
var[4] = work.v[85];
var[5] = work.v[86];
var[6] = work.v[87];
var[7] = work.v[88];
var[8] = work.v[89];
var[9] = work.v[90];
var[10] = work.v[91];
var[11] = work.v[92];
var[12] = work.v[93];
var[13] = work.v[94];
var[14] = work.v[95];
var[15] = work.v[96];
var[16] = work.v[97];
var[17] = work.v[98];
var[18] = work.v[99];
var[19] = work.v[100];
var[20] = work.v[0];
var[21] = work.v[1];
var[22] = work.v[2];
var[23] = work.v[3];
var[24] = work.v[4];
var[25] = work.v[5];
var[26] = work.v[6];
var[27] = work.v[7];
var[28] = work.v[8];
var[29] = work.v[9];
var[30] = work.v[10];
var[31] = work.v[11];
var[32] = work.v[12];
var[33] = work.v[13];
var[34] = work.v[14];
var[35] = work.v[15];
var[36] = work.v[16];
var[37] = work.v[17];
var[38] = work.v[18];
var[39] = work.v[19];
var[40] = work.v[20];
var[41] = work.v[21];
var[42] = work.v[22];
var[43] = work.v[23];
var[44] = work.v[24];
var[45] = work.v[25];
var[46] = work.v[26];
var[47] = work.v[27];
var[48] = work.v[28];
var[49] = work.v[29];
var[50] = work.v[30];
var[51] = work.v[31];
var[52] = work.v[32];
var[53] = work.v[33];
var[54] = work.v[34];
var[55] = work.v[35];
var[56] = work.v[36];
var[57] = work.v[37];
var[58] = work.v[38];
var[59] = work.v[39];
var[60] = work.v[40];
var[61] = work.v[41];
var[62] = work.v[42];
var[63] = work.v[43];
var[64] = work.v[44];
var[65] = work.v[45];
var[66] = work.v[46];
var[67] = work.v[47];
var[68] = work.v[48];
var[69] = work.v[49];
var[70] = work.v[50];
var[71] = work.v[51];
var[72] = work.v[52];
var[73] = work.v[53];
var[74] = work.v[54];
var[75] = work.v[55];
var[76] = work.v[56];
var[77] = work.v[57];
var[78] = work.v[58];
var[79] = work.v[59];
var[80] = work.v[60];
var[81] = work.v[61];
var[82] = work.v[62];
var[83] = work.v[63];
var[84] = work.v[64];
var[85] = work.v[65];
var[86] = work.v[66];
var[87] = work.v[67];
var[88] = work.v[68];
var[89] = work.v[69];
var[90] = work.v[70];
var[91] = work.v[71];
var[92] = work.v[72];
var[93] = work.v[73];
var[94] = work.v[74];
var[95] = work.v[75];
var[96] = work.v[76];
var[97] = work.v[77];
var[98] = work.v[78];
var[99] = work.v[79];
var[100] = work.v[80];
#ifndef ZERO_LIBRARY_MODE
if (settings.debug) {
printf("Squared norm for solution is %.8g.\n", check_residual(target, var, work, settings));
}
#endif
}
CUDA_CALLABLE_MEMBER
void ldl_factor(Workspace& work, Settings& settings) {
work.d[0] = work.KKT[0];
if (work.d[0] < 0)
work.d[0] = settings.kkt_reg;
else
work.d[0] += settings.kkt_reg;
work.d_inv[0] = 1/work.d[0];
work.L[0] = work.KKT[1]*work.d_inv[0];
work.v[1] = work.KKT[2];
work.d[1] = work.v[1];
if (work.d[1] < 0)
work.d[1] = settings.kkt_reg;
else
work.d[1] += settings.kkt_reg;
work.d_inv[1] = 1/work.d[1];
work.L[1] = (work.KKT[3])*work.d_inv[1];
work.v[2] = work.KKT[4];
work.d[2] = work.v[2];
if (work.d[2] < 0)
work.d[2] = settings.kkt_reg;
else
work.d[2] += settings.kkt_reg;
work.d_inv[2] = 1/work.d[2];
work.L[2] = (work.KKT[5])*work.d_inv[2];
work.v[3] = work.KKT[6];
work.d[3] = work.v[3];
if (work.d[3] < 0)
work.d[3] = settings.kkt_reg;
else
work.d[3] += settings.kkt_reg;
work.d_inv[3] = 1/work.d[3];
work.L[3] = (work.KKT[7])*work.d_inv[3];
work.v[4] = work.KKT[8];
work.d[4] = work.v[4];
if (work.d[4] < 0)
work.d[4] = settings.kkt_reg;
else
work.d[4] += settings.kkt_reg;
work.d_inv[4] = 1/work.d[4];
work.L[4] = (work.KKT[9])*work.d_inv[4];
work.v[5] = work.KKT[10];
work.d[5] = work.v[5];
if (work.d[5] < 0)
work.d[5] = settings.kkt_reg;
else
work.d[5] += settings.kkt_reg;
work.d_inv[5] = 1/work.d[5];
work.L[5] = (work.KKT[11])*work.d_inv[5];
work.v[6] = work.KKT[12];
work.d[6] = work.v[6];
if (work.d[6] < 0)
work.d[6] = settings.kkt_reg;
else
work.d[6] += settings.kkt_reg;
work.d_inv[6] = 1/work.d[6];
work.L[6] = (work.KKT[13])*work.d_inv[6];
work.v[7] = work.KKT[14];
work.d[7] = work.v[7];
if (work.d[7] < 0)
work.d[7] = settings.kkt_reg;
else
work.d[7] += settings.kkt_reg;
work.d_inv[7] = 1/work.d[7];
work.L[7] = (work.KKT[15])*work.d_inv[7];
work.v[8] = work.KKT[16];
work.d[8] = work.v[8];
if (work.d[8] < 0)
work.d[8] = settings.kkt_reg;
else
work.d[8] += settings.kkt_reg;
work.d_inv[8] = 1/work.d[8];
work.L[8] = (work.KKT[17])*work.d_inv[8];
work.v[9] = work.KKT[18];
work.d[9] = work.v[9];
if (work.d[9] < 0)
work.d[9] = settings.kkt_reg;
else
work.d[9] += settings.kkt_reg;
work.d_inv[9] = 1/work.d[9];
work.L[9] = (work.KKT[19])*work.d_inv[9];
work.v[10] = work.KKT[20];
work.d[10] = work.v[10];
if (work.d[10] < 0)
work.d[10] = settings.kkt_reg;
else
work.d[10] += settings.kkt_reg;
work.d_inv[10] = 1/work.d[10];
work.L[10] = (work.KKT[21])*work.d_inv[10];
work.v[11] = work.KKT[22];
work.d[11] = work.v[11];
if (work.d[11] < 0)
work.d[11] = settings.kkt_reg;
else
work.d[11] += settings.kkt_reg;
work.d_inv[11] = 1/work.d[11];
work.L[11] = (work.KKT[23])*work.d_inv[11];
work.v[12] = work.KKT[24];
work.d[12] = work.v[12];
if (work.d[12] < 0)
work.d[12] = settings.kkt_reg;
else
work.d[12] += settings.kkt_reg;
work.d_inv[12] = 1/work.d[12];
work.L[12] = (work.KKT[25])*work.d_inv[12];
work.v[13] = work.KKT[26];
work.d[13] = work.v[13];
if (work.d[13] < 0)
work.d[13] = settings.kkt_reg;
else
work.d[13] += settings.kkt_reg;
work.d_inv[13] = 1/work.d[13];
work.L[13] = (work.KKT[27])*work.d_inv[13];
work.v[14] = work.KKT[28];
work.d[14] = work.v[14];
if (work.d[14] < 0)
work.d[14] = settings.kkt_reg;
else
work.d[14] += settings.kkt_reg;
work.d_inv[14] = 1/work.d[14];
work.L[14] = (work.KKT[29])*work.d_inv[14];
work.v[15] = work.KKT[30];
work.d[15] = work.v[15];
if (work.d[15] < 0)
work.d[15] = settings.kkt_reg;
else
work.d[15] += settings.kkt_reg;
work.d_inv[15] = 1/work.d[15];
work.L[15] = (work.KKT[31])*work.d_inv[15];
work.v[16] = work.KKT[32];
work.d[16] = work.v[16];
if (work.d[16] < 0)
work.d[16] = settings.kkt_reg;
else
work.d[16] += settings.kkt_reg;
work.d_inv[16] = 1/work.d[16];
work.L[16] = (work.KKT[33])*work.d_inv[16];
work.v[17] = work.KKT[34];
work.d[17] = work.v[17];
if (work.d[17] < 0)
work.d[17] = settings.kkt_reg;
else
work.d[17] += settings.kkt_reg;
work.d_inv[17] = 1/work.d[17];
work.L[17] = (work.KKT[35])*work.d_inv[17];
work.v[18] = work.KKT[36];
work.d[18] = work.v[18];
if (work.d[18] < 0)
work.d[18] = settings.kkt_reg;
else
work.d[18] += settings.kkt_reg;
work.d_inv[18] = 1/work.d[18];
work.L[18] = (work.KKT[37])*work.d_inv[18];
work.v[19] = work.KKT[38];
work.d[19] = work.v[19];
if (work.d[19] < 0)
work.d[19] = settings.kkt_reg;
else
work.d[19] += settings.kkt_reg;
work.d_inv[19] = 1/work.d[19];
work.L[19] = (work.KKT[39])*work.d_inv[19];
work.v[20] = work.KKT[40];
work.d[20] = work.v[20];
if (work.d[20] < 0)
work.d[20] = settings.kkt_reg;
else
work.d[20] += settings.kkt_reg;
work.d_inv[20] = 1/work.d[20];
work.L[20] = (work.KKT[41])*work.d_inv[20];
work.v[21] = work.KKT[42];
work.d[21] = work.v[21];
if (work.d[21] < 0)
work.d[21] = settings.kkt_reg;
else
work.d[21] += settings.kkt_reg;
work.d_inv[21] = 1/work.d[21];
work.L[21] = (work.KKT[43])*work.d_inv[21];
work.v[22] = work.KKT[44];
work.d[22] = work.v[22];
if (work.d[22] < 0)
work.d[22] = settings.kkt_reg;
else
work.d[22] += settings.kkt_reg;
work.d_inv[22] = 1/work.d[22];
work.L[22] = (work.KKT[45])*work.d_inv[22];
work.v[23] = work.KKT[46];
work.d[23] = work.v[23];
if (work.d[23] < 0)
work.d[23] = settings.kkt_reg;
else
work.d[23] += settings.kkt_reg;
work.d_inv[23] = 1/work.d[23];
work.L[23] = (work.KKT[47])*work.d_inv[23];
work.v[24] = work.KKT[48];
work.d[24] = work.v[24];
if (work.d[24] < 0)
work.d[24] = settings.kkt_reg;
else
work.d[24] += settings.kkt_reg;
work.d_inv[24] = 1/work.d[24];
work.L[24] = (work.KKT[49])*work.d_inv[24];
work.v[25] = work.KKT[50];
work.d[25] = work.v[25];
if (work.d[25] < 0)
work.d[25] = settings.kkt_reg;
else
work.d[25] += settings.kkt_reg;
work.d_inv[25] = 1/work.d[25];
work.L[25] = (work.KKT[51])*work.d_inv[25];
work.v[26] = work.KKT[52];
work.d[26] = work.v[26];
if (work.d[26] < 0)
work.d[26] = settings.kkt_reg;
else
work.d[26] += settings.kkt_reg;
work.d_inv[26] = 1/work.d[26];
work.L[26] = (work.KKT[53])*work.d_inv[26];
work.v[27] = work.KKT[54];
work.d[27] = work.v[27];
if (work.d[27] < 0)
work.d[27] = settings.kkt_reg;
else
work.d[27] += settings.kkt_reg;
work.d_inv[27] = 1/work.d[27];
work.L[27] = (work.KKT[55])*work.d_inv[27];
work.v[28] = work.KKT[56];
work.d[28] = work.v[28];
if (work.d[28] < 0)
work.d[28] = settings.kkt_reg;
else
work.d[28] += settings.kkt_reg;
work.d_inv[28] = 1/work.d[28];
work.L[28] = (work.KKT[57])*work.d_inv[28];
work.v[29] = work.KKT[58];
work.d[29] = work.v[29];
if (work.d[29] < 0)
work.d[29] = settings.kkt_reg;
else
work.d[29] += settings.kkt_reg;
work.d_inv[29] = 1/work.d[29];
work.L[29] = (work.KKT[59])*work.d_inv[29];
work.v[30] = work.KKT[60];
work.d[30] = work.v[30];
if (work.d[30] < 0)
work.d[30] = settings.kkt_reg;
else
work.d[30] += settings.kkt_reg;
work.d_inv[30] = 1/work.d[30];
work.L[30] = (work.KKT[61])*work.d_inv[30];
work.v[31] = work.KKT[62];
work.d[31] = work.v[31];
if (work.d[31] < 0)
work.d[31] = settings.kkt_reg;
else
work.d[31] += settings.kkt_reg;
work.d_inv[31] = 1/work.d[31];
work.L[31] = (work.KKT[63])*work.d_inv[31];
work.v[32] = work.KKT[64];
work.d[32] = work.v[32];
if (work.d[32] < 0)
work.d[32] = settings.kkt_reg;
else
work.d[32] += settings.kkt_reg;
work.d_inv[32] = 1/work.d[32];
work.L[32] = (work.KKT[65])*work.d_inv[32];
work.v[33] = work.KKT[66];
work.d[33] = work.v[33];
if (work.d[33] < 0)
work.d[33] = settings.kkt_reg;
else
work.d[33] += settings.kkt_reg;
work.d_inv[33] = 1/work.d[33];
work.L[33] = (work.KKT[67])*work.d_inv[33];
work.v[34] = work.KKT[68];
work.d[34] = work.v[34];
if (work.d[34] < 0)
work.d[34] = settings.kkt_reg;
else
work.d[34] += settings.kkt_reg;
work.d_inv[34] = 1/work.d[34];
work.L[34] = (work.KKT[69])*work.d_inv[34];
work.v[35] = work.KKT[70];
work.d[35] = work.v[35];
if (work.d[35] < 0)
work.d[35] = settings.kkt_reg;
else
work.d[35] += settings.kkt_reg;
work.d_inv[35] = 1/work.d[35];
work.L[35] = (work.KKT[71])*work.d_inv[35];
work.v[36] = work.KKT[72];
work.d[36] = work.v[36];
if (work.d[36] < 0)
work.d[36] = settings.kkt_reg;
else
work.d[36] += settings.kkt_reg;
work.d_inv[36] = 1/work.d[36];
work.L[36] = (work.KKT[73])*work.d_inv[36];
work.v[37] = work.KKT[74];
work.d[37] = work.v[37];
if (work.d[37] < 0)
work.d[37] = settings.kkt_reg;
else
work.d[37] += settings.kkt_reg;
work.d_inv[37] = 1/work.d[37];
work.L[37] = (work.KKT[75])*work.d_inv[37];
work.v[38] = work.KKT[76];
work.d[38] = work.v[38];
if (work.d[38] < 0)
work.d[38] = settings.kkt_reg;
else
work.d[38] += settings.kkt_reg;
work.d_inv[38] = 1/work.d[38];
work.L[38] = (work.KKT[77])*work.d_inv[38];
work.v[39] = work.KKT[78];
work.d[39] = work.v[39];
if (work.d[39] < 0)
work.d[39] = settings.kkt_reg;
else
work.d[39] += settings.kkt_reg;
work.d_inv[39] = 1/work.d[39];
work.L[39] = (work.KKT[79])*work.d_inv[39];
work.v[0] = work.L[0]*work.d[0];
work.v[40] = work.KKT[80]-work.L[0]*work.v[0];
work.d[40] = work.v[40];
if (work.d[40] > 0)
work.d[40] = -settings.kkt_reg;
else
work.d[40] -= settings.kkt_reg;
work.d_inv[40] = 1/work.d[40];
work.L[40] = (work.KKT[81])*work.d_inv[40];
work.v[1] = work.L[1]*work.d[1];
work.v[41] = work.KKT[82]-work.L[1]*work.v[1];
work.d[41] = work.v[41];
if (work.d[41] > 0)
work.d[41] = -settings.kkt_reg;
else
work.d[41] -= settings.kkt_reg;
work.d_inv[41] = 1/work.d[41];
work.L[43] = (work.KKT[83])*work.d_inv[41];
work.v[2] = work.L[2]*work.d[2];
work.v[42] = work.KKT[84]-work.L[2]*work.v[2];
work.d[42] = work.v[42];
if (work.d[42] > 0)
work.d[42] = -settings.kkt_reg;
else
work.d[42] -= settings.kkt_reg;
work.d_inv[42] = 1/work.d[42];
work.L[47] = (work.KKT[85])*work.d_inv[42];
work.v[3] = work.L[3]*work.d[3];
work.v[43] = work.KKT[86]-work.L[3]*work.v[3];
work.d[43] = work.v[43];
if (work.d[43] > 0)
work.d[43] = -settings.kkt_reg;
else
work.d[43] -= settings.kkt_reg;
work.d_inv[43] = 1/work.d[43];
work.L[52] = (work.KKT[87])*work.d_inv[43];
work.v[4] = work.L[4]*work.d[4];
work.v[44] = work.KKT[88]-work.L[4]*work.v[4];
work.d[44] = work.v[44];
if (work.d[44] > 0)
work.d[44] = -settings.kkt_reg;
else
work.d[44] -= settings.kkt_reg;
work.d_inv[44] = 1/work.d[44];
work.L[58] = (work.KKT[89])*work.d_inv[44];
work.v[5] = work.L[5]*work.d[5];
work.v[45] = work.KKT[90]-work.L[5]*work.v[5];
work.d[45] = work.v[45];
if (work.d[45] > 0)
work.d[45] = -settings.kkt_reg;
else
work.d[45] -= settings.kkt_reg;
work.d_inv[45] = 1/work.d[45];
work.L[65] = (work.KKT[91])*work.d_inv[45];
work.v[6] = work.L[6]*work.d[6];
work.v[46] = work.KKT[92]-work.L[6]*work.v[6];
work.d[46] = work.v[46];
if (work.d[46] > 0)
work.d[46] = -settings.kkt_reg;
else
work.d[46] -= settings.kkt_reg;
work.d_inv[46] = 1/work.d[46];
work.L[73] = (work.KKT[93])*work.d_inv[46];
work.v[7] = work.L[7]*work.d[7];
work.v[47] = work.KKT[94]-work.L[7]*work.v[7];
work.d[47] = work.v[47];
if (work.d[47] > 0)
work.d[47] = -settings.kkt_reg;
else
work.d[47] -= settings.kkt_reg;
work.d_inv[47] = 1/work.d[47];
work.L[82] = (work.KKT[95])*work.d_inv[47];
work.v[8] = work.L[8]*work.d[8];
work.v[48] = work.KKT[96]-work.L[8]*work.v[8];
work.d[48] = work.v[48];
if (work.d[48] > 0)
work.d[48] = -settings.kkt_reg;
else
work.d[48] -= settings.kkt_reg;
work.d_inv[48] = 1/work.d[48];
work.L[92] = (work.KKT[97])*work.d_inv[48];
work.v[9] = work.L[9]*work.d[9];
work.v[49] = work.KKT[98]-work.L[9]*work.v[9];
work.d[49] = work.v[49];
if (work.d[49] > 0)
work.d[49] = -settings.kkt_reg;
else
work.d[49] -= settings.kkt_reg;
work.d_inv[49] = 1/work.d[49];
work.L[103] = (work.KKT[99])*work.d_inv[49];
work.v[10] = work.L[10]*work.d[10];
work.v[50] = work.KKT[100]-work.L[10]*work.v[10];
work.d[50] = work.v[50];
if (work.d[50] > 0)
work.d[50] = -settings.kkt_reg;
else
work.d[50] -= settings.kkt_reg;
work.d_inv[50] = 1/work.d[50];
work.L[115] = (work.KKT[101])*work.d_inv[50];
work.v[11] = work.L[11]*work.d[11];
work.v[51] = work.KKT[102]-work.L[11]*work.v[11];
work.d[51] = work.v[51];
if (work.d[51] > 0)
work.d[51] = -settings.kkt_reg;
else
work.d[51] -= settings.kkt_reg;
work.d_inv[51] = 1/work.d[51];
work.L[128] = (work.KKT[103])*work.d_inv[51];
work.v[12] = work.L[12]*work.d[12];
work.v[52] = work.KKT[104]-work.L[12]*work.v[12];
work.d[52] = work.v[52];
if (work.d[52] > 0)
work.d[52] = -settings.kkt_reg;
else
work.d[52] -= settings.kkt_reg;
work.d_inv[52] = 1/work.d[52];
work.L[142] = (work.KKT[105])*work.d_inv[52];
work.v[13] = work.L[13]*work.d[13];
work.v[53] = work.KKT[106]-work.L[13]*work.v[13];
work.d[53] = work.v[53];
if (work.d[53] > 0)
work.d[53] = -settings.kkt_reg;
else
work.d[53] -= settings.kkt_reg;
work.d_inv[53] = 1/work.d[53];
work.L[157] = (work.KKT[107])*work.d_inv[53];
work.v[14] = work.L[14]*work.d[14];
work.v[54] = work.KKT[108]-work.L[14]*work.v[14];
work.d[54] = work.v[54];
if (work.d[54] > 0)
work.d[54] = -settings.kkt_reg;
else
work.d[54] -= settings.kkt_reg;
work.d_inv[54] = 1/work.d[54];
work.L[173] = (work.KKT[109])*work.d_inv[54];
work.v[15] = work.L[15]*work.d[15];
work.v[55] = work.KKT[110]-work.L[15]*work.v[15];
work.d[55] = work.v[55];
if (work.d[55] > 0)
work.d[55] = -settings.kkt_reg;
else
work.d[55] -= settings.kkt_reg;
work.d_inv[55] = 1/work.d[55];
work.L[190] = (work.KKT[111])*work.d_inv[55];
work.v[16] = work.L[16]*work.d[16];
work.v[56] = work.KKT[112]-work.L[16]*work.v[16];
work.d[56] = work.v[56];
if (work.d[56] > 0)
work.d[56] = -settings.kkt_reg;
else
work.d[56] -= settings.kkt_reg;
work.d_inv[56] = 1/work.d[56];
work.L[208] = (work.KKT[113])*work.d_inv[56];
work.v[17] = work.L[17]*work.d[17];
work.v[57] = work.KKT[114]-work.L[17]*work.v[17];
work.d[57] = work.v[57];
if (work.d[57] > 0)
work.d[57] = -settings.kkt_reg;
else
work.d[57] -= settings.kkt_reg;
work.d_inv[57] = 1/work.d[57];
work.L[227] = (work.KKT[115])*work.d_inv[57];
work.v[18] = work.L[18]*work.d[18];
work.v[58] = work.KKT[116]-work.L[18]*work.v[18];
work.d[58] = work.v[58];
if (work.d[58] > 0)
work.d[58] = -settings.kkt_reg;
else
work.d[58] -= settings.kkt_reg;
work.d_inv[58] = 1/work.d[58];
work.L[247] = (work.KKT[117])*work.d_inv[58];
work.v[19] = work.L[19]*work.d[19];
work.v[59] = work.KKT[118]-work.L[19]*work.v[19];
work.d[59] = work.v[59];
if (work.d[59] > 0)
work.d[59] = -settings.kkt_reg;
else
work.d[59] -= settings.kkt_reg;
work.d_inv[59] = 1/work.d[59];
work.L[268] = (work.KKT[119])*work.d_inv[59];
work.v[20] = work.L[20]*work.d[20];
work.v[60] = work.KKT[120]-work.L[20]*work.v[20];
work.d[60] = work.v[60];
if (work.d[60] > 0)
work.d[60] = -settings.kkt_reg;
else
work.d[60] -= settings.kkt_reg;
work.d_inv[60] = 1/work.d[60];
work.L[41] = (work.KKT[121])*work.d_inv[60];
work.v[21] = work.L[21]*work.d[21];
work.v[61] = work.KKT[122]-work.L[21]*work.v[21];
work.d[61] = work.v[61];
if (work.d[61] > 0)
work.d[61] = -settings.kkt_reg;
else
work.d[61] -= settings.kkt_reg;
work.d_inv[61] = 1/work.d[61];
work.L[44] = (work.KKT[123])*work.d_inv[61];
work.v[22] = work.L[22]*work.d[22];
work.v[62] = work.KKT[124]-work.L[22]*work.v[22];
work.d[62] = work.v[62];
if (work.d[62] > 0)
work.d[62] = -settings.kkt_reg;
else
work.d[62] -= settings.kkt_reg;
work.d_inv[62] = 1/work.d[62];
work.L[48] = (work.KKT[125])*work.d_inv[62];
work.v[23] = work.L[23]*work.d[23];
work.v[63] = work.KKT[126]-work.L[23]*work.v[23];
work.d[63] = work.v[63];
if (work.d[63] > 0)
work.d[63] = -settings.kkt_reg;
else
work.d[63] -= settings.kkt_reg;
work.d_inv[63] = 1/work.d[63];
work.L[53] = (work.KKT[127])*work.d_inv[63];
work.v[24] = work.L[24]*work.d[24];
work.v[64] = work.KKT[128]-work.L[24]*work.v[24];
work.d[64] = work.v[64];
if (work.d[64] > 0)
work.d[64] = -settings.kkt_reg;
else
work.d[64] -= settings.kkt_reg;
work.d_inv[64] = 1/work.d[64];
work.L[59] = (work.KKT[129])*work.d_inv[64];
work.v[25] = work.L[25]*work.d[25];
work.v[65] = work.KKT[130]-work.L[25]*work.v[25];
work.d[65] = work.v[65];
if (work.d[65] > 0)
work.d[65] = -settings.kkt_reg;
else
work.d[65] -= settings.kkt_reg;
work.d_inv[65] = 1/work.d[65];
work.L[66] = (work.KKT[131])*work.d_inv[65];
work.v[26] = work.L[26]*work.d[26];
work.v[66] = work.KKT[132]-work.L[26]*work.v[26];
work.d[66] = work.v[66];
if (work.d[66] > 0)
work.d[66] = -settings.kkt_reg;
else
work.d[66] -= settings.kkt_reg;
work.d_inv[66] = 1/work.d[66];
work.L[74] = (work.KKT[133])*work.d_inv[66];
work.v[27] = work.L[27]*work.d[27];
work.v[67] = work.KKT[134]-work.L[27]*work.v[27];
work.d[67] = work.v[67];
if (work.d[67] > 0)
work.d[67] = -settings.kkt_reg;
else
work.d[67] -= settings.kkt_reg;
work.d_inv[67] = 1/work.d[67];
work.L[83] = (work.KKT[135])*work.d_inv[67];
work.v[28] = work.L[28]*work.d[28];
work.v[68] = work.KKT[136]-work.L[28]*work.v[28];
work.d[68] = work.v[68];
if (work.d[68] > 0)
work.d[68] = -settings.kkt_reg;
else
work.d[68] -= settings.kkt_reg;
work.d_inv[68] = 1/work.d[68];
work.L[93] = (work.KKT[137])*work.d_inv[68];
work.v[29] = work.L[29]*work.d[29];
work.v[69] = work.KKT[138]-work.L[29]*work.v[29];
work.d[69] = work.v[69];
if (work.d[69] > 0)
work.d[69] = -settings.kkt_reg;
else
work.d[69] -= settings.kkt_reg;
work.d_inv[69] = 1/work.d[69];
work.L[104] = (work.KKT[139])*work.d_inv[69];
work.v[30] = work.L[30]*work.d[30];
work.v[70] = work.KKT[140]-work.L[30]*work.v[30];
work.d[70] = work.v[70];
if (work.d[70] > 0)
work.d[70] = -settings.kkt_reg;
else
work.d[70] -= settings.kkt_reg;
work.d_inv[70] = 1/work.d[70];
work.L[116] = (work.KKT[141])*work.d_inv[70];
work.v[31] = work.L[31]*work.d[31];
work.v[71] = work.KKT[142]-work.L[31]*work.v[31];
work.d[71] = work.v[71];
if (work.d[71] > 0)
work.d[71] = -settings.kkt_reg;
else
work.d[71] -= settings.kkt_reg;
work.d_inv[71] = 1/work.d[71];
work.L[129] = (work.KKT[143])*work.d_inv[71];
work.v[32] = work.L[32]*work.d[32];
work.v[72] = work.KKT[144]-work.L[32]*work.v[32];
work.d[72] = work.v[72];
if (work.d[72] > 0)
work.d[72] = -settings.kkt_reg;
else
work.d[72] -= settings.kkt_reg;
work.d_inv[72] = 1/work.d[72];
work.L[143] = (work.KKT[145])*work.d_inv[72];
work.v[33] = work.L[33]*work.d[33];
work.v[73] = work.KKT[146]-work.L[33]*work.v[33];
work.d[73] = work.v[73];
if (work.d[73] > 0)
work.d[73] = -settings.kkt_reg;
else
work.d[73] -= settings.kkt_reg;
work.d_inv[73] = 1/work.d[73];
work.L[158] = (work.KKT[147])*work.d_inv[73];
work.v[34] = work.L[34]*work.d[34];
work.v[74] = work.KKT[148]-work.L[34]*work.v[34];
work.d[74] = work.v[74];
if (work.d[74] > 0)
work.d[74] = -settings.kkt_reg;
else
work.d[74] -= settings.kkt_reg;
work.d_inv[74] = 1/work.d[74];
work.L[174] = (work.KKT[149])*work.d_inv[74];
work.v[35] = work.L[35]*work.d[35];
work.v[75] = work.KKT[150]-work.L[35]*work.v[35];
work.d[75] = work.v[75];
if (work.d[75] > 0)
work.d[75] = -settings.kkt_reg;
else
work.d[75] -= settings.kkt_reg;
work.d_inv[75] = 1/work.d[75];
work.L[191] = (work.KKT[151])*work.d_inv[75];
work.v[36] = work.L[36]*work.d[36];
work.v[76] = work.KKT[152]-work.L[36]*work.v[36];
work.d[76] = work.v[76];
if (work.d[76] > 0)
work.d[76] = -settings.kkt_reg;
else
work.d[76] -= settings.kkt_reg;
work.d_inv[76] = 1/work.d[76];
work.L[209] = (work.KKT[153])*work.d_inv[76];
work.v[37] = work.L[37]*work.d[37];
work.v[77] = work.KKT[154]-work.L[37]*work.v[37];
work.d[77] = work.v[77];
if (work.d[77] > 0)
work.d[77] = -settings.kkt_reg;
else
work.d[77] -= settings.kkt_reg;
work.d_inv[77] = 1/work.d[77];
work.L[228] = (work.KKT[155])*work.d_inv[77];
work.v[38] = work.L[38]*work.d[38];
work.v[78] = work.KKT[156]-work.L[38]*work.v[38];
work.d[78] = work.v[78];
if (work.d[78] > 0)
work.d[78] = -settings.kkt_reg;
else
work.d[78] -= settings.kkt_reg;
work.d_inv[78] = 1/work.d[78];
work.L[248] = (work.KKT[157])*work.d_inv[78];
work.v[39] = work.L[39]*work.d[39];
work.v[79] = work.KKT[158]-work.L[39]*work.v[39];
work.d[79] = work.v[79];
if (work.d[79] > 0)
work.d[79] = -settings.kkt_reg;
else
work.d[79] -= settings.kkt_reg;
work.d_inv[79] = 1/work.d[79];
work.L[269] = (work.KKT[159])*work.d_inv[79];
work.v[80] = 0;
work.d[80] = work.v[80];
if (work.d[80] > 0)
work.d[80] = -settings.kkt_reg;
else
work.d[80] -= settings.kkt_reg;
work.d_inv[80] = 1/work.d[80];
work.L[42] = (work.KKT[160])*work.d_inv[80];
work.L[45] = (work.KKT[161])*work.d_inv[80];
work.L[49] = (work.KKT[162])*work.d_inv[80];
work.L[54] = (work.KKT[163])*work.d_inv[80];
work.L[60] = (work.KKT[164])*work.d_inv[80];
work.L[67] = (work.KKT[165])*work.d_inv[80];
work.L[75] = (work.KKT[166])*work.d_inv[80];
work.L[84] = (work.KKT[167])*work.d_inv[80];
work.L[94] = (work.KKT[168])*work.d_inv[80];
work.L[105] = (work.KKT[169])*work.d_inv[80];
work.L[117] = (work.KKT[170])*work.d_inv[80];
work.L[130] = (work.KKT[171])*work.d_inv[80];
work.L[144] = (work.KKT[172])*work.d_inv[80];
work.L[159] = (work.KKT[173])*work.d_inv[80];
work.L[175] = (work.KKT[174])*work.d_inv[80];
work.L[192] = (work.KKT[175])*work.d_inv[80];
work.L[210] = (work.KKT[176])*work.d_inv[80];
work.L[229] = (work.KKT[177])*work.d_inv[80];
work.L[249] = (work.KKT[178])*work.d_inv[80];
work.L[270] = (work.KKT[179])*work.d_inv[80];
work.v[40] = work.L[40]*work.d[40];
work.v[60] = work.L[41]*work.d[60];
work.v[80] = work.L[42]*work.d[80];
work.v[81] = work.KKT[180]-work.L[40]*work.v[40]-work.L[41]*work.v[60]-work.L[42]*work.v[80];
work.d[81] = work.v[81];
if (work.d[81] < 0)
work.d[81] = settings.kkt_reg;
else
work.d[81] += settings.kkt_reg;
work.d_inv[81] = 1/work.d[81];
work.L[46] = (work.KKT[181]-work.L[45]*work.v[80])*work.d_inv[81];
work.L[50] = (work.KKT[182]-work.L[49]*work.v[80])*work.d_inv[81];
work.L[55] = (work.KKT[183]-work.L[54]*work.v[80])*work.d_inv[81];
work.L[61] = (work.KKT[184]-work.L[60]*work.v[80])*work.d_inv[81];
work.L[68] = (work.KKT[185]-work.L[67]*work.v[80])*work.d_inv[81];
work.L[76] = (work.KKT[186]-work.L[75]*work.v[80])*work.d_inv[81];
work.L[85] = (work.KKT[187]-work.L[84]*work.v[80])*work.d_inv[81];
work.L[95] = (work.KKT[188]-work.L[94]*work.v[80])*work.d_inv[81];
work.L[106] = (work.KKT[189]-work.L[105]*work.v[80])*work.d_inv[81];
work.L[118] = (work.KKT[190]-work.L[117]*work.v[80])*work.d_inv[81];
work.L[131] = (work.KKT[191]-work.L[130]*work.v[80])*work.d_inv[81];
work.L[145] = (work.KKT[192]-work.L[144]*work.v[80])*work.d_inv[81];
work.L[160] = (work.KKT[193]-work.L[159]*work.v[80])*work.d_inv[81];
work.L[176] = (work.KKT[194]-work.L[175]*work.v[80])*work.d_inv[81];
work.L[193] = (work.KKT[195]-work.L[192]*work.v[80])*work.d_inv[81];
work.L[211] = (work.KKT[196]-work.L[210]*work.v[80])*work.d_inv[81];
work.L[230] = (work.KKT[197]-work.L[229]*work.v[80])*work.d_inv[81];
work.L[250] = (work.KKT[198]-work.L[249]*work.v[80])*work.d_inv[81];
work.L[271] = (work.KKT[199]-work.L[270]*work.v[80])*work.d_inv[81];
work.v[41] = work.L[43]*work.d[41];
work.v[61] = work.L[44]*work.d[61];
work.v[80] = work.L[45]*work.d[80];
work.v[81] = work.L[46]*work.d[81];
work.v[82] = work.KKT[200]-work.L[43]*work.v[41]-work.L[44]*work.v[61]-work.L[45]*work.v[80]-work.L[46]*work.v[81];
work.d[82] = work.v[82];
if (work.d[82] < 0)
work.d[82] = settings.kkt_reg;
else
work.d[82] += settings.kkt_reg;
work.d_inv[82] = 1/work.d[82];
work.L[51] = (work.KKT[201]-work.L[49]*work.v[80]-work.L[50]*work.v[81])*work.d_inv[82];
work.L[56] = (work.KKT[202]-work.L[54]*work.v[80]-work.L[55]*work.v[81])*work.d_inv[82];
work.L[62] = (work.KKT[203]-work.L[60]*work.v[80]-work.L[61]*work.v[81])*work.d_inv[82];
work.L[69] = (work.KKT[204]-work.L[67]*work.v[80]-work.L[68]*work.v[81])*work.d_inv[82];
work.L[77] = (work.KKT[205]-work.L[75]*work.v[80]-work.L[76]*work.v[81])*work.d_inv[82];
work.L[86] = (work.KKT[206]-work.L[84]*work.v[80]-work.L[85]*work.v[81])*work.d_inv[82];
work.L[96] = (work.KKT[207]-work.L[94]*work.v[80]-work.L[95]*work.v[81])*work.d_inv[82];
work.L[107] = (work.KKT[208]-work.L[105]*work.v[80]-work.L[106]*work.v[81])*work.d_inv[82];
work.L[119] = (work.KKT[209]-work.L[117]*work.v[80]-work.L[118]*work.v[81])*work.d_inv[82];
work.L[132] = (work.KKT[210]-work.L[130]*work.v[80]-work.L[131]*work.v[81])*work.d_inv[82];
work.L[146] = (work.KKT[211]-work.L[144]*work.v[80]-work.L[145]*work.v[81])*work.d_inv[82];
work.L[161] = (work.KKT[212]-work.L[159]*work.v[80]-work.L[160]*work.v[81])*work.d_inv[82];
work.L[177] = (work.KKT[213]-work.L[175]*work.v[80]-work.L[176]*work.v[81])*work.d_inv[82];
work.L[194] = (work.KKT[214]-work.L[192]*work.v[80]-work.L[193]*work.v[81])*work.d_inv[82];
work.L[212] = (work.KKT[215]-work.L[210]*work.v[80]-work.L[211]*work.v[81])*work.d_inv[82];
work.L[231] = (work.KKT[216]-work.L[229]*work.v[80]-work.L[230]*work.v[81])*work.d_inv[82];
work.L[251] = (work.KKT[217]-work.L[249]*work.v[80]-work.L[250]*work.v[81])*work.d_inv[82];
work.L[272] = (work.KKT[218]-work.L[270]*work.v[80]-work.L[271]*work.v[81])*work.d_inv[82];
work.v[42] = work.L[47]*work.d[42];
work.v[62] = work.L[48]*work.d[62];
work.v[80] = work.L[49]*work.d[80];
work.v[81] = work.L[50]*work.d[81];
work.v[82] = work.L[51]*work.d[82];
work.v[83] = work.KKT[219]-work.L[47]*work.v[42]-work.L[48]*work.v[62]-work.L[49]*work.v[80]-work.L[50]*work.v[81]-work.L[51]*work.v[82];
work.d[83] = work.v[83];
if (work.d[83] < 0)
work.d[83] = settings.kkt_reg;
else
work.d[83] += settings.kkt_reg;
work.d_inv[83] = 1/work.d[83];
work.L[57] = (work.KKT[220]-work.L[54]*work.v[80]-work.L[55]*work.v[81]-work.L[56]*work.v[82])*work.d_inv[83];
work.L[63] = (work.KKT[221]-work.L[60]*work.v[80]-work.L[61]*work.v[81]-work.L[62]*work.v[82])*work.d_inv[83];
work.L[70] = (work.KKT[222]-work.L[67]*work.v[80]-work.L[68]*work.v[81]-work.L[69]*work.v[82])*work.d_inv[83];
work.L[78] = (work.KKT[223]-work.L[75]*work.v[80]-work.L[76]*work.v[81]-work.L[77]*work.v[82])*work.d_inv[83];
work.L[87] = (work.KKT[224]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82])*work.d_inv[83];
work.L[97] = (work.KKT[225]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82])*work.d_inv[83];
work.L[108] = (work.KKT[226]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82])*work.d_inv[83];
work.L[120] = (work.KKT[227]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82])*work.d_inv[83];
work.L[133] = (work.KKT[228]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82])*work.d_inv[83];
work.L[147] = (work.KKT[229]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82])*work.d_inv[83];
work.L[162] = (work.KKT[230]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82])*work.d_inv[83];
work.L[178] = (work.KKT[231]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82])*work.d_inv[83];
work.L[195] = (work.KKT[232]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82])*work.d_inv[83];
work.L[213] = (work.KKT[233]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82])*work.d_inv[83];
work.L[232] = (work.KKT[234]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82])*work.d_inv[83];
work.L[252] = (work.KKT[235]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82])*work.d_inv[83];
work.L[273] = (work.KKT[236]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82])*work.d_inv[83];
work.v[43] = work.L[52]*work.d[43];
work.v[63] = work.L[53]*work.d[63];
work.v[80] = work.L[54]*work.d[80];
work.v[81] = work.L[55]*work.d[81];
work.v[82] = work.L[56]*work.d[82];
work.v[83] = work.L[57]*work.d[83];
work.v[84] = work.KKT[237]-work.L[52]*work.v[43]-work.L[53]*work.v[63]-work.L[54]*work.v[80]-work.L[55]*work.v[81]-work.L[56]*work.v[82]-work.L[57]*work.v[83];
work.d[84] = work.v[84];
if (work.d[84] < 0)
work.d[84] = settings.kkt_reg;
else
work.d[84] += settings.kkt_reg;
work.d_inv[84] = 1/work.d[84];
work.L[64] = (work.KKT[238]-work.L[60]*work.v[80]-work.L[61]*work.v[81]-work.L[62]*work.v[82]-work.L[63]*work.v[83])*work.d_inv[84];
work.L[71] = (work.KKT[239]-work.L[67]*work.v[80]-work.L[68]*work.v[81]-work.L[69]*work.v[82]-work.L[70]*work.v[83])*work.d_inv[84];
work.L[79] = (work.KKT[240]-work.L[75]*work.v[80]-work.L[76]*work.v[81]-work.L[77]*work.v[82]-work.L[78]*work.v[83])*work.d_inv[84];
work.L[88] = (work.KKT[241]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82]-work.L[87]*work.v[83])*work.d_inv[84];
work.L[98] = (work.KKT[242]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83])*work.d_inv[84];
work.L[109] = (work.KKT[243]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83])*work.d_inv[84];
work.L[121] = (work.KKT[244]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83])*work.d_inv[84];
work.L[134] = (work.KKT[245]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83])*work.d_inv[84];
work.L[148] = (work.KKT[246]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83])*work.d_inv[84];
work.L[163] = (work.KKT[247]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83])*work.d_inv[84];
work.L[179] = (work.KKT[248]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83])*work.d_inv[84];
work.L[196] = (work.KKT[249]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83])*work.d_inv[84];
work.L[214] = (work.KKT[250]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83])*work.d_inv[84];
work.L[233] = (work.KKT[251]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83])*work.d_inv[84];
work.L[253] = (work.KKT[252]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83])*work.d_inv[84];
work.L[274] = (work.KKT[253]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83])*work.d_inv[84];
work.v[44] = work.L[58]*work.d[44];
work.v[64] = work.L[59]*work.d[64];
work.v[80] = work.L[60]*work.d[80];
work.v[81] = work.L[61]*work.d[81];
work.v[82] = work.L[62]*work.d[82];
work.v[83] = work.L[63]*work.d[83];
work.v[84] = work.L[64]*work.d[84];
work.v[85] = work.KKT[254]-work.L[58]*work.v[44]-work.L[59]*work.v[64]-work.L[60]*work.v[80]-work.L[61]*work.v[81]-work.L[62]*work.v[82]-work.L[63]*work.v[83]-work.L[64]*work.v[84];
work.d[85] = work.v[85];
if (work.d[85] < 0)
work.d[85] = settings.kkt_reg;
else
work.d[85] += settings.kkt_reg;
work.d_inv[85] = 1/work.d[85];
work.L[72] = (work.KKT[255]-work.L[67]*work.v[80]-work.L[68]*work.v[81]-work.L[69]*work.v[82]-work.L[70]*work.v[83]-work.L[71]*work.v[84])*work.d_inv[85];
work.L[80] = (work.KKT[256]-work.L[75]*work.v[80]-work.L[76]*work.v[81]-work.L[77]*work.v[82]-work.L[78]*work.v[83]-work.L[79]*work.v[84])*work.d_inv[85];
work.L[89] = (work.KKT[257]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82]-work.L[87]*work.v[83]-work.L[88]*work.v[84])*work.d_inv[85];
work.L[99] = (work.KKT[258]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83]-work.L[98]*work.v[84])*work.d_inv[85];
work.L[110] = (work.KKT[259]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84])*work.d_inv[85];
work.L[122] = (work.KKT[260]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84])*work.d_inv[85];
work.L[135] = (work.KKT[261]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84])*work.d_inv[85];
work.L[149] = (work.KKT[262]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84])*work.d_inv[85];
work.L[164] = (work.KKT[263]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84])*work.d_inv[85];
work.L[180] = (work.KKT[264]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84])*work.d_inv[85];
work.L[197] = (work.KKT[265]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84])*work.d_inv[85];
work.L[215] = (work.KKT[266]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84])*work.d_inv[85];
work.L[234] = (work.KKT[267]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84])*work.d_inv[85];
work.L[254] = (work.KKT[268]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84])*work.d_inv[85];
work.L[275] = (work.KKT[269]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84])*work.d_inv[85];
work.v[45] = work.L[65]*work.d[45];
work.v[65] = work.L[66]*work.d[65];
work.v[80] = work.L[67]*work.d[80];
work.v[81] = work.L[68]*work.d[81];
work.v[82] = work.L[69]*work.d[82];
work.v[83] = work.L[70]*work.d[83];
work.v[84] = work.L[71]*work.d[84];
work.v[85] = work.L[72]*work.d[85];
work.v[86] = work.KKT[270]-work.L[65]*work.v[45]-work.L[66]*work.v[65]-work.L[67]*work.v[80]-work.L[68]*work.v[81]-work.L[69]*work.v[82]-work.L[70]*work.v[83]-work.L[71]*work.v[84]-work.L[72]*work.v[85];
work.d[86] = work.v[86];
if (work.d[86] < 0)
work.d[86] = settings.kkt_reg;
else
work.d[86] += settings.kkt_reg;
work.d_inv[86] = 1/work.d[86];
work.L[81] = (work.KKT[271]-work.L[75]*work.v[80]-work.L[76]*work.v[81]-work.L[77]*work.v[82]-work.L[78]*work.v[83]-work.L[79]*work.v[84]-work.L[80]*work.v[85])*work.d_inv[86];
work.L[90] = (work.KKT[272]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82]-work.L[87]*work.v[83]-work.L[88]*work.v[84]-work.L[89]*work.v[85])*work.d_inv[86];
work.L[100] = (work.KKT[273]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83]-work.L[98]*work.v[84]-work.L[99]*work.v[85])*work.d_inv[86];
work.L[111] = (work.KKT[274]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84]-work.L[110]*work.v[85])*work.d_inv[86];
work.L[123] = (work.KKT[275]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85])*work.d_inv[86];
work.L[136] = (work.KKT[276]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85])*work.d_inv[86];
work.L[150] = (work.KKT[277]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85])*work.d_inv[86];
work.L[165] = (work.KKT[278]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85])*work.d_inv[86];
work.L[181] = (work.KKT[279]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85])*work.d_inv[86];
work.L[198] = (work.KKT[280]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85])*work.d_inv[86];
work.L[216] = (work.KKT[281]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85])*work.d_inv[86];
work.L[235] = (work.KKT[282]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85])*work.d_inv[86];
work.L[255] = (work.KKT[283]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85])*work.d_inv[86];
work.L[276] = (work.KKT[284]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85])*work.d_inv[86];
work.v[46] = work.L[73]*work.d[46];
work.v[66] = work.L[74]*work.d[66];
work.v[80] = work.L[75]*work.d[80];
work.v[81] = work.L[76]*work.d[81];
work.v[82] = work.L[77]*work.d[82];
work.v[83] = work.L[78]*work.d[83];
work.v[84] = work.L[79]*work.d[84];
work.v[85] = work.L[80]*work.d[85];
work.v[86] = work.L[81]*work.d[86];
work.v[87] = work.KKT[285]-work.L[73]*work.v[46]-work.L[74]*work.v[66]-work.L[75]*work.v[80]-work.L[76]*work.v[81]-work.L[77]*work.v[82]-work.L[78]*work.v[83]-work.L[79]*work.v[84]-work.L[80]*work.v[85]-work.L[81]*work.v[86];
work.d[87] = work.v[87];
if (work.d[87] < 0)
work.d[87] = settings.kkt_reg;
else
work.d[87] += settings.kkt_reg;
work.d_inv[87] = 1/work.d[87];
work.L[91] = (work.KKT[286]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82]-work.L[87]*work.v[83]-work.L[88]*work.v[84]-work.L[89]*work.v[85]-work.L[90]*work.v[86])*work.d_inv[87];
work.L[101] = (work.KKT[287]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83]-work.L[98]*work.v[84]-work.L[99]*work.v[85]-work.L[100]*work.v[86])*work.d_inv[87];
work.L[112] = (work.KKT[288]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84]-work.L[110]*work.v[85]-work.L[111]*work.v[86])*work.d_inv[87];
work.L[124] = (work.KKT[289]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85]-work.L[123]*work.v[86])*work.d_inv[87];
work.L[137] = (work.KKT[290]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86])*work.d_inv[87];
work.L[151] = (work.KKT[291]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86])*work.d_inv[87];
work.L[166] = (work.KKT[292]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86])*work.d_inv[87];
work.L[182] = (work.KKT[293]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86])*work.d_inv[87];
work.L[199] = (work.KKT[294]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86])*work.d_inv[87];
work.L[217] = (work.KKT[295]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86])*work.d_inv[87];
work.L[236] = (work.KKT[296]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86])*work.d_inv[87];
work.L[256] = (work.KKT[297]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86])*work.d_inv[87];
work.L[277] = (work.KKT[298]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86])*work.d_inv[87];
work.v[47] = work.L[82]*work.d[47];
work.v[67] = work.L[83]*work.d[67];
work.v[80] = work.L[84]*work.d[80];
work.v[81] = work.L[85]*work.d[81];
work.v[82] = work.L[86]*work.d[82];
work.v[83] = work.L[87]*work.d[83];
work.v[84] = work.L[88]*work.d[84];
work.v[85] = work.L[89]*work.d[85];
work.v[86] = work.L[90]*work.d[86];
work.v[87] = work.L[91]*work.d[87];
work.v[88] = work.KKT[299]-work.L[82]*work.v[47]-work.L[83]*work.v[67]-work.L[84]*work.v[80]-work.L[85]*work.v[81]-work.L[86]*work.v[82]-work.L[87]*work.v[83]-work.L[88]*work.v[84]-work.L[89]*work.v[85]-work.L[90]*work.v[86]-work.L[91]*work.v[87];
work.d[88] = work.v[88];
if (work.d[88] < 0)
work.d[88] = settings.kkt_reg;
else
work.d[88] += settings.kkt_reg;
work.d_inv[88] = 1/work.d[88];
work.L[102] = (work.KKT[300]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83]-work.L[98]*work.v[84]-work.L[99]*work.v[85]-work.L[100]*work.v[86]-work.L[101]*work.v[87])*work.d_inv[88];
work.L[113] = (work.KKT[301]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84]-work.L[110]*work.v[85]-work.L[111]*work.v[86]-work.L[112]*work.v[87])*work.d_inv[88];
work.L[125] = (work.KKT[302]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85]-work.L[123]*work.v[86]-work.L[124]*work.v[87])*work.d_inv[88];
work.L[138] = (work.KKT[303]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86]-work.L[137]*work.v[87])*work.d_inv[88];
work.L[152] = (work.KKT[304]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87])*work.d_inv[88];
work.L[167] = (work.KKT[305]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87])*work.d_inv[88];
work.L[183] = (work.KKT[306]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87])*work.d_inv[88];
work.L[200] = (work.KKT[307]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87])*work.d_inv[88];
work.L[218] = (work.KKT[308]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87])*work.d_inv[88];
work.L[237] = (work.KKT[309]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87])*work.d_inv[88];
work.L[257] = (work.KKT[310]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87])*work.d_inv[88];
work.L[278] = (work.KKT[311]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87])*work.d_inv[88];
work.v[48] = work.L[92]*work.d[48];
work.v[68] = work.L[93]*work.d[68];
work.v[80] = work.L[94]*work.d[80];
work.v[81] = work.L[95]*work.d[81];
work.v[82] = work.L[96]*work.d[82];
work.v[83] = work.L[97]*work.d[83];
work.v[84] = work.L[98]*work.d[84];
work.v[85] = work.L[99]*work.d[85];
work.v[86] = work.L[100]*work.d[86];
work.v[87] = work.L[101]*work.d[87];
work.v[88] = work.L[102]*work.d[88];
work.v[89] = work.KKT[312]-work.L[92]*work.v[48]-work.L[93]*work.v[68]-work.L[94]*work.v[80]-work.L[95]*work.v[81]-work.L[96]*work.v[82]-work.L[97]*work.v[83]-work.L[98]*work.v[84]-work.L[99]*work.v[85]-work.L[100]*work.v[86]-work.L[101]*work.v[87]-work.L[102]*work.v[88];
work.d[89] = work.v[89];
if (work.d[89] < 0)
work.d[89] = settings.kkt_reg;
else
work.d[89] += settings.kkt_reg;
work.d_inv[89] = 1/work.d[89];
work.L[114] = (work.KKT[313]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84]-work.L[110]*work.v[85]-work.L[111]*work.v[86]-work.L[112]*work.v[87]-work.L[113]*work.v[88])*work.d_inv[89];
work.L[126] = (work.KKT[314]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85]-work.L[123]*work.v[86]-work.L[124]*work.v[87]-work.L[125]*work.v[88])*work.d_inv[89];
work.L[139] = (work.KKT[315]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86]-work.L[137]*work.v[87]-work.L[138]*work.v[88])*work.d_inv[89];
work.L[153] = (work.KKT[316]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87]-work.L[152]*work.v[88])*work.d_inv[89];
work.L[168] = (work.KKT[317]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88])*work.d_inv[89];
work.L[184] = (work.KKT[318]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88])*work.d_inv[89];
work.L[201] = (work.KKT[319]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88])*work.d_inv[89];
work.L[219] = (work.KKT[320]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88])*work.d_inv[89];
work.L[238] = (work.KKT[321]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88])*work.d_inv[89];
work.L[258] = (work.KKT[322]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88])*work.d_inv[89];
work.L[279] = (work.KKT[323]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88])*work.d_inv[89];
work.v[49] = work.L[103]*work.d[49];
work.v[69] = work.L[104]*work.d[69];
work.v[80] = work.L[105]*work.d[80];
work.v[81] = work.L[106]*work.d[81];
work.v[82] = work.L[107]*work.d[82];
work.v[83] = work.L[108]*work.d[83];
work.v[84] = work.L[109]*work.d[84];
work.v[85] = work.L[110]*work.d[85];
work.v[86] = work.L[111]*work.d[86];
work.v[87] = work.L[112]*work.d[87];
work.v[88] = work.L[113]*work.d[88];
work.v[89] = work.L[114]*work.d[89];
work.v[90] = work.KKT[324]-work.L[103]*work.v[49]-work.L[104]*work.v[69]-work.L[105]*work.v[80]-work.L[106]*work.v[81]-work.L[107]*work.v[82]-work.L[108]*work.v[83]-work.L[109]*work.v[84]-work.L[110]*work.v[85]-work.L[111]*work.v[86]-work.L[112]*work.v[87]-work.L[113]*work.v[88]-work.L[114]*work.v[89];
work.d[90] = work.v[90];
if (work.d[90] < 0)
work.d[90] = settings.kkt_reg;
else
work.d[90] += settings.kkt_reg;
work.d_inv[90] = 1/work.d[90];
work.L[127] = (work.KKT[325]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85]-work.L[123]*work.v[86]-work.L[124]*work.v[87]-work.L[125]*work.v[88]-work.L[126]*work.v[89])*work.d_inv[90];
work.L[140] = (work.KKT[326]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86]-work.L[137]*work.v[87]-work.L[138]*work.v[88]-work.L[139]*work.v[89])*work.d_inv[90];
work.L[154] = (work.KKT[327]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87]-work.L[152]*work.v[88]-work.L[153]*work.v[89])*work.d_inv[90];
work.L[169] = (work.KKT[328]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88]-work.L[168]*work.v[89])*work.d_inv[90];
work.L[185] = (work.KKT[329]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89])*work.d_inv[90];
work.L[202] = (work.KKT[330]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89])*work.d_inv[90];
work.L[220] = (work.KKT[331]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89])*work.d_inv[90];
work.L[239] = (work.KKT[332]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89])*work.d_inv[90];
work.L[259] = (work.KKT[333]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89])*work.d_inv[90];
work.L[280] = (work.KKT[334]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89])*work.d_inv[90];
work.v[50] = work.L[115]*work.d[50];
work.v[70] = work.L[116]*work.d[70];
work.v[80] = work.L[117]*work.d[80];
work.v[81] = work.L[118]*work.d[81];
work.v[82] = work.L[119]*work.d[82];
work.v[83] = work.L[120]*work.d[83];
work.v[84] = work.L[121]*work.d[84];
work.v[85] = work.L[122]*work.d[85];
work.v[86] = work.L[123]*work.d[86];
work.v[87] = work.L[124]*work.d[87];
work.v[88] = work.L[125]*work.d[88];
work.v[89] = work.L[126]*work.d[89];
work.v[90] = work.L[127]*work.d[90];
work.v[91] = work.KKT[335]-work.L[115]*work.v[50]-work.L[116]*work.v[70]-work.L[117]*work.v[80]-work.L[118]*work.v[81]-work.L[119]*work.v[82]-work.L[120]*work.v[83]-work.L[121]*work.v[84]-work.L[122]*work.v[85]-work.L[123]*work.v[86]-work.L[124]*work.v[87]-work.L[125]*work.v[88]-work.L[126]*work.v[89]-work.L[127]*work.v[90];
work.d[91] = work.v[91];
if (work.d[91] < 0)
work.d[91] = settings.kkt_reg;
else
work.d[91] += settings.kkt_reg;
work.d_inv[91] = 1/work.d[91];
work.L[141] = (work.KKT[336]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86]-work.L[137]*work.v[87]-work.L[138]*work.v[88]-work.L[139]*work.v[89]-work.L[140]*work.v[90])*work.d_inv[91];
work.L[155] = (work.KKT[337]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87]-work.L[152]*work.v[88]-work.L[153]*work.v[89]-work.L[154]*work.v[90])*work.d_inv[91];
work.L[170] = (work.KKT[338]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88]-work.L[168]*work.v[89]-work.L[169]*work.v[90])*work.d_inv[91];
work.L[186] = (work.KKT[339]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89]-work.L[185]*work.v[90])*work.d_inv[91];
work.L[203] = (work.KKT[340]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90])*work.d_inv[91];
work.L[221] = (work.KKT[341]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90])*work.d_inv[91];
work.L[240] = (work.KKT[342]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90])*work.d_inv[91];
work.L[260] = (work.KKT[343]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90])*work.d_inv[91];
work.L[281] = (work.KKT[344]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90])*work.d_inv[91];
work.v[51] = work.L[128]*work.d[51];
work.v[71] = work.L[129]*work.d[71];
work.v[80] = work.L[130]*work.d[80];
work.v[81] = work.L[131]*work.d[81];
work.v[82] = work.L[132]*work.d[82];
work.v[83] = work.L[133]*work.d[83];
work.v[84] = work.L[134]*work.d[84];
work.v[85] = work.L[135]*work.d[85];
work.v[86] = work.L[136]*work.d[86];
work.v[87] = work.L[137]*work.d[87];
work.v[88] = work.L[138]*work.d[88];
work.v[89] = work.L[139]*work.d[89];
work.v[90] = work.L[140]*work.d[90];
work.v[91] = work.L[141]*work.d[91];
work.v[92] = work.KKT[345]-work.L[128]*work.v[51]-work.L[129]*work.v[71]-work.L[130]*work.v[80]-work.L[131]*work.v[81]-work.L[132]*work.v[82]-work.L[133]*work.v[83]-work.L[134]*work.v[84]-work.L[135]*work.v[85]-work.L[136]*work.v[86]-work.L[137]*work.v[87]-work.L[138]*work.v[88]-work.L[139]*work.v[89]-work.L[140]*work.v[90]-work.L[141]*work.v[91];
work.d[92] = work.v[92];
if (work.d[92] < 0)
work.d[92] = settings.kkt_reg;
else
work.d[92] += settings.kkt_reg;
work.d_inv[92] = 1/work.d[92];
work.L[156] = (work.KKT[346]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87]-work.L[152]*work.v[88]-work.L[153]*work.v[89]-work.L[154]*work.v[90]-work.L[155]*work.v[91])*work.d_inv[92];
work.L[171] = (work.KKT[347]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88]-work.L[168]*work.v[89]-work.L[169]*work.v[90]-work.L[170]*work.v[91])*work.d_inv[92];
work.L[187] = (work.KKT[348]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89]-work.L[185]*work.v[90]-work.L[186]*work.v[91])*work.d_inv[92];
work.L[204] = (work.KKT[349]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90]-work.L[203]*work.v[91])*work.d_inv[92];
work.L[222] = (work.KKT[350]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91])*work.d_inv[92];
work.L[241] = (work.KKT[351]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91])*work.d_inv[92];
work.L[261] = (work.KKT[352]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91])*work.d_inv[92];
work.L[282] = (work.KKT[353]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91])*work.d_inv[92];
work.v[52] = work.L[142]*work.d[52];
work.v[72] = work.L[143]*work.d[72];
work.v[80] = work.L[144]*work.d[80];
work.v[81] = work.L[145]*work.d[81];
work.v[82] = work.L[146]*work.d[82];
work.v[83] = work.L[147]*work.d[83];
work.v[84] = work.L[148]*work.d[84];
work.v[85] = work.L[149]*work.d[85];
work.v[86] = work.L[150]*work.d[86];
work.v[87] = work.L[151]*work.d[87];
work.v[88] = work.L[152]*work.d[88];
work.v[89] = work.L[153]*work.d[89];
work.v[90] = work.L[154]*work.d[90];
work.v[91] = work.L[155]*work.d[91];
work.v[92] = work.L[156]*work.d[92];
work.v[93] = work.KKT[354]-work.L[142]*work.v[52]-work.L[143]*work.v[72]-work.L[144]*work.v[80]-work.L[145]*work.v[81]-work.L[146]*work.v[82]-work.L[147]*work.v[83]-work.L[148]*work.v[84]-work.L[149]*work.v[85]-work.L[150]*work.v[86]-work.L[151]*work.v[87]-work.L[152]*work.v[88]-work.L[153]*work.v[89]-work.L[154]*work.v[90]-work.L[155]*work.v[91]-work.L[156]*work.v[92];
work.d[93] = work.v[93];
if (work.d[93] < 0)
work.d[93] = settings.kkt_reg;
else
work.d[93] += settings.kkt_reg;
work.d_inv[93] = 1/work.d[93];
work.L[172] = (work.KKT[355]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88]-work.L[168]*work.v[89]-work.L[169]*work.v[90]-work.L[170]*work.v[91]-work.L[171]*work.v[92])*work.d_inv[93];
work.L[188] = (work.KKT[356]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89]-work.L[185]*work.v[90]-work.L[186]*work.v[91]-work.L[187]*work.v[92])*work.d_inv[93];
work.L[205] = (work.KKT[357]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90]-work.L[203]*work.v[91]-work.L[204]*work.v[92])*work.d_inv[93];
work.L[223] = (work.KKT[358]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91]-work.L[222]*work.v[92])*work.d_inv[93];
work.L[242] = (work.KKT[359]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92])*work.d_inv[93];
work.L[262] = (work.KKT[360]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92])*work.d_inv[93];
work.L[283] = (work.KKT[361]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92])*work.d_inv[93];
work.v[53] = work.L[157]*work.d[53];
work.v[73] = work.L[158]*work.d[73];
work.v[80] = work.L[159]*work.d[80];
work.v[81] = work.L[160]*work.d[81];
work.v[82] = work.L[161]*work.d[82];
work.v[83] = work.L[162]*work.d[83];
work.v[84] = work.L[163]*work.d[84];
work.v[85] = work.L[164]*work.d[85];
work.v[86] = work.L[165]*work.d[86];
work.v[87] = work.L[166]*work.d[87];
work.v[88] = work.L[167]*work.d[88];
work.v[89] = work.L[168]*work.d[89];
work.v[90] = work.L[169]*work.d[90];
work.v[91] = work.L[170]*work.d[91];
work.v[92] = work.L[171]*work.d[92];
work.v[93] = work.L[172]*work.d[93];
work.v[94] = work.KKT[362]-work.L[157]*work.v[53]-work.L[158]*work.v[73]-work.L[159]*work.v[80]-work.L[160]*work.v[81]-work.L[161]*work.v[82]-work.L[162]*work.v[83]-work.L[163]*work.v[84]-work.L[164]*work.v[85]-work.L[165]*work.v[86]-work.L[166]*work.v[87]-work.L[167]*work.v[88]-work.L[168]*work.v[89]-work.L[169]*work.v[90]-work.L[170]*work.v[91]-work.L[171]*work.v[92]-work.L[172]*work.v[93];
work.d[94] = work.v[94];
if (work.d[94] < 0)
work.d[94] = settings.kkt_reg;
else
work.d[94] += settings.kkt_reg;
work.d_inv[94] = 1/work.d[94];
work.L[189] = (work.KKT[363]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89]-work.L[185]*work.v[90]-work.L[186]*work.v[91]-work.L[187]*work.v[92]-work.L[188]*work.v[93])*work.d_inv[94];
work.L[206] = (work.KKT[364]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90]-work.L[203]*work.v[91]-work.L[204]*work.v[92]-work.L[205]*work.v[93])*work.d_inv[94];
work.L[224] = (work.KKT[365]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91]-work.L[222]*work.v[92]-work.L[223]*work.v[93])*work.d_inv[94];
work.L[243] = (work.KKT[366]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92]-work.L[242]*work.v[93])*work.d_inv[94];
work.L[263] = (work.KKT[367]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93])*work.d_inv[94];
work.L[284] = (work.KKT[368]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93])*work.d_inv[94];
work.v[54] = work.L[173]*work.d[54];
work.v[74] = work.L[174]*work.d[74];
work.v[80] = work.L[175]*work.d[80];
work.v[81] = work.L[176]*work.d[81];
work.v[82] = work.L[177]*work.d[82];
work.v[83] = work.L[178]*work.d[83];
work.v[84] = work.L[179]*work.d[84];
work.v[85] = work.L[180]*work.d[85];
work.v[86] = work.L[181]*work.d[86];
work.v[87] = work.L[182]*work.d[87];
work.v[88] = work.L[183]*work.d[88];
work.v[89] = work.L[184]*work.d[89];
work.v[90] = work.L[185]*work.d[90];
work.v[91] = work.L[186]*work.d[91];
work.v[92] = work.L[187]*work.d[92];
work.v[93] = work.L[188]*work.d[93];
work.v[94] = work.L[189]*work.d[94];
work.v[95] = work.KKT[369]-work.L[173]*work.v[54]-work.L[174]*work.v[74]-work.L[175]*work.v[80]-work.L[176]*work.v[81]-work.L[177]*work.v[82]-work.L[178]*work.v[83]-work.L[179]*work.v[84]-work.L[180]*work.v[85]-work.L[181]*work.v[86]-work.L[182]*work.v[87]-work.L[183]*work.v[88]-work.L[184]*work.v[89]-work.L[185]*work.v[90]-work.L[186]*work.v[91]-work.L[187]*work.v[92]-work.L[188]*work.v[93]-work.L[189]*work.v[94];
work.d[95] = work.v[95];
if (work.d[95] < 0)
work.d[95] = settings.kkt_reg;
else
work.d[95] += settings.kkt_reg;
work.d_inv[95] = 1/work.d[95];
work.L[207] = (work.KKT[370]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90]-work.L[203]*work.v[91]-work.L[204]*work.v[92]-work.L[205]*work.v[93]-work.L[206]*work.v[94])*work.d_inv[95];
work.L[225] = (work.KKT[371]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91]-work.L[222]*work.v[92]-work.L[223]*work.v[93]-work.L[224]*work.v[94])*work.d_inv[95];
work.L[244] = (work.KKT[372]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92]-work.L[242]*work.v[93]-work.L[243]*work.v[94])*work.d_inv[95];
work.L[264] = (work.KKT[373]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93]-work.L[263]*work.v[94])*work.d_inv[95];
work.L[285] = (work.KKT[374]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94])*work.d_inv[95];
work.v[55] = work.L[190]*work.d[55];
work.v[75] = work.L[191]*work.d[75];
work.v[80] = work.L[192]*work.d[80];
work.v[81] = work.L[193]*work.d[81];
work.v[82] = work.L[194]*work.d[82];
work.v[83] = work.L[195]*work.d[83];
work.v[84] = work.L[196]*work.d[84];
work.v[85] = work.L[197]*work.d[85];
work.v[86] = work.L[198]*work.d[86];
work.v[87] = work.L[199]*work.d[87];
work.v[88] = work.L[200]*work.d[88];
work.v[89] = work.L[201]*work.d[89];
work.v[90] = work.L[202]*work.d[90];
work.v[91] = work.L[203]*work.d[91];
work.v[92] = work.L[204]*work.d[92];
work.v[93] = work.L[205]*work.d[93];
work.v[94] = work.L[206]*work.d[94];
work.v[95] = work.L[207]*work.d[95];
work.v[96] = work.KKT[375]-work.L[190]*work.v[55]-work.L[191]*work.v[75]-work.L[192]*work.v[80]-work.L[193]*work.v[81]-work.L[194]*work.v[82]-work.L[195]*work.v[83]-work.L[196]*work.v[84]-work.L[197]*work.v[85]-work.L[198]*work.v[86]-work.L[199]*work.v[87]-work.L[200]*work.v[88]-work.L[201]*work.v[89]-work.L[202]*work.v[90]-work.L[203]*work.v[91]-work.L[204]*work.v[92]-work.L[205]*work.v[93]-work.L[206]*work.v[94]-work.L[207]*work.v[95];
work.d[96] = work.v[96];
if (work.d[96] < 0)
work.d[96] = settings.kkt_reg;
else
work.d[96] += settings.kkt_reg;
work.d_inv[96] = 1/work.d[96];
work.L[226] = (work.KKT[376]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91]-work.L[222]*work.v[92]-work.L[223]*work.v[93]-work.L[224]*work.v[94]-work.L[225]*work.v[95])*work.d_inv[96];
work.L[245] = (work.KKT[377]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92]-work.L[242]*work.v[93]-work.L[243]*work.v[94]-work.L[244]*work.v[95])*work.d_inv[96];
work.L[265] = (work.KKT[378]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93]-work.L[263]*work.v[94]-work.L[264]*work.v[95])*work.d_inv[96];
work.L[286] = (work.KKT[379]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94]-work.L[285]*work.v[95])*work.d_inv[96];
work.v[56] = work.L[208]*work.d[56];
work.v[76] = work.L[209]*work.d[76];
work.v[80] = work.L[210]*work.d[80];
work.v[81] = work.L[211]*work.d[81];
work.v[82] = work.L[212]*work.d[82];
work.v[83] = work.L[213]*work.d[83];
work.v[84] = work.L[214]*work.d[84];
work.v[85] = work.L[215]*work.d[85];
work.v[86] = work.L[216]*work.d[86];
work.v[87] = work.L[217]*work.d[87];
work.v[88] = work.L[218]*work.d[88];
work.v[89] = work.L[219]*work.d[89];
work.v[90] = work.L[220]*work.d[90];
work.v[91] = work.L[221]*work.d[91];
work.v[92] = work.L[222]*work.d[92];
work.v[93] = work.L[223]*work.d[93];
work.v[94] = work.L[224]*work.d[94];
work.v[95] = work.L[225]*work.d[95];
work.v[96] = work.L[226]*work.d[96];
work.v[97] = work.KKT[380]-work.L[208]*work.v[56]-work.L[209]*work.v[76]-work.L[210]*work.v[80]-work.L[211]*work.v[81]-work.L[212]*work.v[82]-work.L[213]*work.v[83]-work.L[214]*work.v[84]-work.L[215]*work.v[85]-work.L[216]*work.v[86]-work.L[217]*work.v[87]-work.L[218]*work.v[88]-work.L[219]*work.v[89]-work.L[220]*work.v[90]-work.L[221]*work.v[91]-work.L[222]*work.v[92]-work.L[223]*work.v[93]-work.L[224]*work.v[94]-work.L[225]*work.v[95]-work.L[226]*work.v[96];
work.d[97] = work.v[97];
if (work.d[97] < 0)
work.d[97] = settings.kkt_reg;
else
work.d[97] += settings.kkt_reg;
work.d_inv[97] = 1/work.d[97];
work.L[246] = (work.KKT[381]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92]-work.L[242]*work.v[93]-work.L[243]*work.v[94]-work.L[244]*work.v[95]-work.L[245]*work.v[96])*work.d_inv[97];
work.L[266] = (work.KKT[382]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93]-work.L[263]*work.v[94]-work.L[264]*work.v[95]-work.L[265]*work.v[96])*work.d_inv[97];
work.L[287] = (work.KKT[383]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94]-work.L[285]*work.v[95]-work.L[286]*work.v[96])*work.d_inv[97];
work.v[57] = work.L[227]*work.d[57];
work.v[77] = work.L[228]*work.d[77];
work.v[80] = work.L[229]*work.d[80];
work.v[81] = work.L[230]*work.d[81];
work.v[82] = work.L[231]*work.d[82];
work.v[83] = work.L[232]*work.d[83];
work.v[84] = work.L[233]*work.d[84];
work.v[85] = work.L[234]*work.d[85];
work.v[86] = work.L[235]*work.d[86];
work.v[87] = work.L[236]*work.d[87];
work.v[88] = work.L[237]*work.d[88];
work.v[89] = work.L[238]*work.d[89];
work.v[90] = work.L[239]*work.d[90];
work.v[91] = work.L[240]*work.d[91];
work.v[92] = work.L[241]*work.d[92];
work.v[93] = work.L[242]*work.d[93];
work.v[94] = work.L[243]*work.d[94];
work.v[95] = work.L[244]*work.d[95];
work.v[96] = work.L[245]*work.d[96];
work.v[97] = work.L[246]*work.d[97];
work.v[98] = work.KKT[384]-work.L[227]*work.v[57]-work.L[228]*work.v[77]-work.L[229]*work.v[80]-work.L[230]*work.v[81]-work.L[231]*work.v[82]-work.L[232]*work.v[83]-work.L[233]*work.v[84]-work.L[234]*work.v[85]-work.L[235]*work.v[86]-work.L[236]*work.v[87]-work.L[237]*work.v[88]-work.L[238]*work.v[89]-work.L[239]*work.v[90]-work.L[240]*work.v[91]-work.L[241]*work.v[92]-work.L[242]*work.v[93]-work.L[243]*work.v[94]-work.L[244]*work.v[95]-work.L[245]*work.v[96]-work.L[246]*work.v[97];
work.d[98] = work.v[98];
if (work.d[98] < 0)
work.d[98] = settings.kkt_reg;
else
work.d[98] += settings.kkt_reg;
work.d_inv[98] = 1/work.d[98];
work.L[267] = (work.KKT[385]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93]-work.L[263]*work.v[94]-work.L[264]*work.v[95]-work.L[265]*work.v[96]-work.L[266]*work.v[97])*work.d_inv[98];
work.L[288] = (work.KKT[386]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94]-work.L[285]*work.v[95]-work.L[286]*work.v[96]-work.L[287]*work.v[97])*work.d_inv[98];
work.v[58] = work.L[247]*work.d[58];
work.v[78] = work.L[248]*work.d[78];
work.v[80] = work.L[249]*work.d[80];
work.v[81] = work.L[250]*work.d[81];
work.v[82] = work.L[251]*work.d[82];
work.v[83] = work.L[252]*work.d[83];
work.v[84] = work.L[253]*work.d[84];
work.v[85] = work.L[254]*work.d[85];
work.v[86] = work.L[255]*work.d[86];
work.v[87] = work.L[256]*work.d[87];
work.v[88] = work.L[257]*work.d[88];
work.v[89] = work.L[258]*work.d[89];
work.v[90] = work.L[259]*work.d[90];
work.v[91] = work.L[260]*work.d[91];
work.v[92] = work.L[261]*work.d[92];
work.v[93] = work.L[262]*work.d[93];
work.v[94] = work.L[263]*work.d[94];
work.v[95] = work.L[264]*work.d[95];
work.v[96] = work.L[265]*work.d[96];
work.v[97] = work.L[266]*work.d[97];
work.v[98] = work.L[267]*work.d[98];
work.v[99] = work.KKT[387]-work.L[247]*work.v[58]-work.L[248]*work.v[78]-work.L[249]*work.v[80]-work.L[250]*work.v[81]-work.L[251]*work.v[82]-work.L[252]*work.v[83]-work.L[253]*work.v[84]-work.L[254]*work.v[85]-work.L[255]*work.v[86]-work.L[256]*work.v[87]-work.L[257]*work.v[88]-work.L[258]*work.v[89]-work.L[259]*work.v[90]-work.L[260]*work.v[91]-work.L[261]*work.v[92]-work.L[262]*work.v[93]-work.L[263]*work.v[94]-work.L[264]*work.v[95]-work.L[265]*work.v[96]-work.L[266]*work.v[97]-work.L[267]*work.v[98];
work.d[99] = work.v[99];
if (work.d[99] < 0)
work.d[99] = settings.kkt_reg;
else
work.d[99] += settings.kkt_reg;
work.d_inv[99] = 1/work.d[99];
work.L[289] = (work.KKT[388]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94]-work.L[285]*work.v[95]-work.L[286]*work.v[96]-work.L[287]*work.v[97]-work.L[288]*work.v[98])*work.d_inv[99];
work.v[59] = work.L[268]*work.d[59];
work.v[79] = work.L[269]*work.d[79];
work.v[80] = work.L[270]*work.d[80];
work.v[81] = work.L[271]*work.d[81];
work.v[82] = work.L[272]*work.d[82];
work.v[83] = work.L[273]*work.d[83];
work.v[84] = work.L[274]*work.d[84];
work.v[85] = work.L[275]*work.d[85];
work.v[86] = work.L[276]*work.d[86];
work.v[87] = work.L[277]*work.d[87];
work.v[88] = work.L[278]*work.d[88];
work.v[89] = work.L[279]*work.d[89];
work.v[90] = work.L[280]*work.d[90];
work.v[91] = work.L[281]*work.d[91];
work.v[92] = work.L[282]*work.d[92];
work.v[93] = work.L[283]*work.d[93];
work.v[94] = work.L[284]*work.d[94];
work.v[95] = work.L[285]*work.d[95];
work.v[96] = work.L[286]*work.d[96];
work.v[97] = work.L[287]*work.d[97];
work.v[98] = work.L[288]*work.d[98];
work.v[99] = work.L[289]*work.d[99];
work.v[100] = work.KKT[389]-work.L[268]*work.v[59]-work.L[269]*work.v[79]-work.L[270]*work.v[80]-work.L[271]*work.v[81]-work.L[272]*work.v[82]-work.L[273]*work.v[83]-work.L[274]*work.v[84]-work.L[275]*work.v[85]-work.L[276]*work.v[86]-work.L[277]*work.v[87]-work.L[278]*work.v[88]-work.L[279]*work.v[89]-work.L[280]*work.v[90]-work.L[281]*work.v[91]-work.L[282]*work.v[92]-work.L[283]*work.v[93]-work.L[284]*work.v[94]-work.L[285]*work.v[95]-work.L[286]*work.v[96]-work.L[287]*work.v[97]-work.L[288]*work.v[98]-work.L[289]*work.v[99];
work.d[100] = work.v[100];
if (work.d[100] < 0)
work.d[100] = settings.kkt_reg;
else
work.d[100] += settings.kkt_reg;
work.d_inv[100] = 1/work.d[100];
#ifndef ZERO_LIBRARY_MODE
if (settings.debug) {
printf("Squared Frobenius for factorization is %.8g.\n", check_factorization(work));
}
#endif
}
CUDA_CALLABLE_MEMBER
double check_factorization(Workspace& work) {
/* Returns the squared Frobenius norm of A - L*D*L'. */
double temp, residual;
/* Only check the lower triangle. */
residual = 0;
temp = work.KKT[180]-1*work.d[81]*1-work.L[40]*work.d[40]*work.L[40]-work.L[41]*work.d[60]*work.L[41]-work.L[42]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[181]-work.L[46]*work.d[81]*1-work.L[45]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[182]-work.L[50]*work.d[81]*1-work.L[49]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[183]-work.L[55]*work.d[81]*1-work.L[54]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[184]-work.L[61]*work.d[81]*1-work.L[60]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[185]-work.L[68]*work.d[81]*1-work.L[67]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[186]-work.L[76]*work.d[81]*1-work.L[75]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[187]-work.L[85]*work.d[81]*1-work.L[84]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[188]-work.L[95]*work.d[81]*1-work.L[94]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[189]-work.L[106]*work.d[81]*1-work.L[105]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[190]-work.L[118]*work.d[81]*1-work.L[117]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[191]-work.L[131]*work.d[81]*1-work.L[130]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[192]-work.L[145]*work.d[81]*1-work.L[144]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[193]-work.L[160]*work.d[81]*1-work.L[159]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[194]-work.L[176]*work.d[81]*1-work.L[175]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[195]-work.L[193]*work.d[81]*1-work.L[192]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[196]-work.L[211]*work.d[81]*1-work.L[210]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[197]-work.L[230]*work.d[81]*1-work.L[229]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[198]-work.L[250]*work.d[81]*1-work.L[249]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[199]-work.L[271]*work.d[81]*1-work.L[270]*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[200]-work.L[46]*work.d[81]*work.L[46]-1*work.d[82]*1-work.L[43]*work.d[41]*work.L[43]-work.L[44]*work.d[61]*work.L[44]-work.L[45]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[201]-work.L[50]*work.d[81]*work.L[46]-work.L[51]*work.d[82]*1-work.L[49]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[202]-work.L[55]*work.d[81]*work.L[46]-work.L[56]*work.d[82]*1-work.L[54]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[203]-work.L[61]*work.d[81]*work.L[46]-work.L[62]*work.d[82]*1-work.L[60]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[204]-work.L[68]*work.d[81]*work.L[46]-work.L[69]*work.d[82]*1-work.L[67]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[205]-work.L[76]*work.d[81]*work.L[46]-work.L[77]*work.d[82]*1-work.L[75]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[206]-work.L[85]*work.d[81]*work.L[46]-work.L[86]*work.d[82]*1-work.L[84]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[207]-work.L[95]*work.d[81]*work.L[46]-work.L[96]*work.d[82]*1-work.L[94]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[208]-work.L[106]*work.d[81]*work.L[46]-work.L[107]*work.d[82]*1-work.L[105]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[209]-work.L[118]*work.d[81]*work.L[46]-work.L[119]*work.d[82]*1-work.L[117]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[210]-work.L[131]*work.d[81]*work.L[46]-work.L[132]*work.d[82]*1-work.L[130]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[211]-work.L[145]*work.d[81]*work.L[46]-work.L[146]*work.d[82]*1-work.L[144]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[212]-work.L[160]*work.d[81]*work.L[46]-work.L[161]*work.d[82]*1-work.L[159]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[213]-work.L[176]*work.d[81]*work.L[46]-work.L[177]*work.d[82]*1-work.L[175]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[214]-work.L[193]*work.d[81]*work.L[46]-work.L[194]*work.d[82]*1-work.L[192]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[215]-work.L[211]*work.d[81]*work.L[46]-work.L[212]*work.d[82]*1-work.L[210]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[216]-work.L[230]*work.d[81]*work.L[46]-work.L[231]*work.d[82]*1-work.L[229]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[217]-work.L[250]*work.d[81]*work.L[46]-work.L[251]*work.d[82]*1-work.L[249]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[218]-work.L[271]*work.d[81]*work.L[46]-work.L[272]*work.d[82]*1-work.L[270]*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[219]-work.L[50]*work.d[81]*work.L[50]-work.L[51]*work.d[82]*work.L[51]-1*work.d[83]*1-work.L[47]*work.d[42]*work.L[47]-work.L[48]*work.d[62]*work.L[48]-work.L[49]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[220]-work.L[55]*work.d[81]*work.L[50]-work.L[56]*work.d[82]*work.L[51]-work.L[57]*work.d[83]*1-work.L[54]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[221]-work.L[61]*work.d[81]*work.L[50]-work.L[62]*work.d[82]*work.L[51]-work.L[63]*work.d[83]*1-work.L[60]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[222]-work.L[68]*work.d[81]*work.L[50]-work.L[69]*work.d[82]*work.L[51]-work.L[70]*work.d[83]*1-work.L[67]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[223]-work.L[76]*work.d[81]*work.L[50]-work.L[77]*work.d[82]*work.L[51]-work.L[78]*work.d[83]*1-work.L[75]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[224]-work.L[85]*work.d[81]*work.L[50]-work.L[86]*work.d[82]*work.L[51]-work.L[87]*work.d[83]*1-work.L[84]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[225]-work.L[95]*work.d[81]*work.L[50]-work.L[96]*work.d[82]*work.L[51]-work.L[97]*work.d[83]*1-work.L[94]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[226]-work.L[106]*work.d[81]*work.L[50]-work.L[107]*work.d[82]*work.L[51]-work.L[108]*work.d[83]*1-work.L[105]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[227]-work.L[118]*work.d[81]*work.L[50]-work.L[119]*work.d[82]*work.L[51]-work.L[120]*work.d[83]*1-work.L[117]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[228]-work.L[131]*work.d[81]*work.L[50]-work.L[132]*work.d[82]*work.L[51]-work.L[133]*work.d[83]*1-work.L[130]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[229]-work.L[145]*work.d[81]*work.L[50]-work.L[146]*work.d[82]*work.L[51]-work.L[147]*work.d[83]*1-work.L[144]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[230]-work.L[160]*work.d[81]*work.L[50]-work.L[161]*work.d[82]*work.L[51]-work.L[162]*work.d[83]*1-work.L[159]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[231]-work.L[176]*work.d[81]*work.L[50]-work.L[177]*work.d[82]*work.L[51]-work.L[178]*work.d[83]*1-work.L[175]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[232]-work.L[193]*work.d[81]*work.L[50]-work.L[194]*work.d[82]*work.L[51]-work.L[195]*work.d[83]*1-work.L[192]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[233]-work.L[211]*work.d[81]*work.L[50]-work.L[212]*work.d[82]*work.L[51]-work.L[213]*work.d[83]*1-work.L[210]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[234]-work.L[230]*work.d[81]*work.L[50]-work.L[231]*work.d[82]*work.L[51]-work.L[232]*work.d[83]*1-work.L[229]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[235]-work.L[250]*work.d[81]*work.L[50]-work.L[251]*work.d[82]*work.L[51]-work.L[252]*work.d[83]*1-work.L[249]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[236]-work.L[271]*work.d[81]*work.L[50]-work.L[272]*work.d[82]*work.L[51]-work.L[273]*work.d[83]*1-work.L[270]*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[237]-work.L[55]*work.d[81]*work.L[55]-work.L[56]*work.d[82]*work.L[56]-work.L[57]*work.d[83]*work.L[57]-1*work.d[84]*1-work.L[52]*work.d[43]*work.L[52]-work.L[53]*work.d[63]*work.L[53]-work.L[54]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[238]-work.L[61]*work.d[81]*work.L[55]-work.L[62]*work.d[82]*work.L[56]-work.L[63]*work.d[83]*work.L[57]-work.L[64]*work.d[84]*1-work.L[60]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[239]-work.L[68]*work.d[81]*work.L[55]-work.L[69]*work.d[82]*work.L[56]-work.L[70]*work.d[83]*work.L[57]-work.L[71]*work.d[84]*1-work.L[67]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[240]-work.L[76]*work.d[81]*work.L[55]-work.L[77]*work.d[82]*work.L[56]-work.L[78]*work.d[83]*work.L[57]-work.L[79]*work.d[84]*1-work.L[75]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[241]-work.L[85]*work.d[81]*work.L[55]-work.L[86]*work.d[82]*work.L[56]-work.L[87]*work.d[83]*work.L[57]-work.L[88]*work.d[84]*1-work.L[84]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[242]-work.L[95]*work.d[81]*work.L[55]-work.L[96]*work.d[82]*work.L[56]-work.L[97]*work.d[83]*work.L[57]-work.L[98]*work.d[84]*1-work.L[94]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[243]-work.L[106]*work.d[81]*work.L[55]-work.L[107]*work.d[82]*work.L[56]-work.L[108]*work.d[83]*work.L[57]-work.L[109]*work.d[84]*1-work.L[105]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[244]-work.L[118]*work.d[81]*work.L[55]-work.L[119]*work.d[82]*work.L[56]-work.L[120]*work.d[83]*work.L[57]-work.L[121]*work.d[84]*1-work.L[117]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[245]-work.L[131]*work.d[81]*work.L[55]-work.L[132]*work.d[82]*work.L[56]-work.L[133]*work.d[83]*work.L[57]-work.L[134]*work.d[84]*1-work.L[130]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[246]-work.L[145]*work.d[81]*work.L[55]-work.L[146]*work.d[82]*work.L[56]-work.L[147]*work.d[83]*work.L[57]-work.L[148]*work.d[84]*1-work.L[144]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[247]-work.L[160]*work.d[81]*work.L[55]-work.L[161]*work.d[82]*work.L[56]-work.L[162]*work.d[83]*work.L[57]-work.L[163]*work.d[84]*1-work.L[159]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[248]-work.L[176]*work.d[81]*work.L[55]-work.L[177]*work.d[82]*work.L[56]-work.L[178]*work.d[83]*work.L[57]-work.L[179]*work.d[84]*1-work.L[175]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[249]-work.L[193]*work.d[81]*work.L[55]-work.L[194]*work.d[82]*work.L[56]-work.L[195]*work.d[83]*work.L[57]-work.L[196]*work.d[84]*1-work.L[192]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[250]-work.L[211]*work.d[81]*work.L[55]-work.L[212]*work.d[82]*work.L[56]-work.L[213]*work.d[83]*work.L[57]-work.L[214]*work.d[84]*1-work.L[210]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[251]-work.L[230]*work.d[81]*work.L[55]-work.L[231]*work.d[82]*work.L[56]-work.L[232]*work.d[83]*work.L[57]-work.L[233]*work.d[84]*1-work.L[229]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[252]-work.L[250]*work.d[81]*work.L[55]-work.L[251]*work.d[82]*work.L[56]-work.L[252]*work.d[83]*work.L[57]-work.L[253]*work.d[84]*1-work.L[249]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[253]-work.L[271]*work.d[81]*work.L[55]-work.L[272]*work.d[82]*work.L[56]-work.L[273]*work.d[83]*work.L[57]-work.L[274]*work.d[84]*1-work.L[270]*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[254]-work.L[61]*work.d[81]*work.L[61]-work.L[62]*work.d[82]*work.L[62]-work.L[63]*work.d[83]*work.L[63]-work.L[64]*work.d[84]*work.L[64]-1*work.d[85]*1-work.L[58]*work.d[44]*work.L[58]-work.L[59]*work.d[64]*work.L[59]-work.L[60]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[255]-work.L[68]*work.d[81]*work.L[61]-work.L[69]*work.d[82]*work.L[62]-work.L[70]*work.d[83]*work.L[63]-work.L[71]*work.d[84]*work.L[64]-work.L[72]*work.d[85]*1-work.L[67]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[256]-work.L[76]*work.d[81]*work.L[61]-work.L[77]*work.d[82]*work.L[62]-work.L[78]*work.d[83]*work.L[63]-work.L[79]*work.d[84]*work.L[64]-work.L[80]*work.d[85]*1-work.L[75]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[257]-work.L[85]*work.d[81]*work.L[61]-work.L[86]*work.d[82]*work.L[62]-work.L[87]*work.d[83]*work.L[63]-work.L[88]*work.d[84]*work.L[64]-work.L[89]*work.d[85]*1-work.L[84]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[258]-work.L[95]*work.d[81]*work.L[61]-work.L[96]*work.d[82]*work.L[62]-work.L[97]*work.d[83]*work.L[63]-work.L[98]*work.d[84]*work.L[64]-work.L[99]*work.d[85]*1-work.L[94]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[259]-work.L[106]*work.d[81]*work.L[61]-work.L[107]*work.d[82]*work.L[62]-work.L[108]*work.d[83]*work.L[63]-work.L[109]*work.d[84]*work.L[64]-work.L[110]*work.d[85]*1-work.L[105]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[260]-work.L[118]*work.d[81]*work.L[61]-work.L[119]*work.d[82]*work.L[62]-work.L[120]*work.d[83]*work.L[63]-work.L[121]*work.d[84]*work.L[64]-work.L[122]*work.d[85]*1-work.L[117]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[261]-work.L[131]*work.d[81]*work.L[61]-work.L[132]*work.d[82]*work.L[62]-work.L[133]*work.d[83]*work.L[63]-work.L[134]*work.d[84]*work.L[64]-work.L[135]*work.d[85]*1-work.L[130]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[262]-work.L[145]*work.d[81]*work.L[61]-work.L[146]*work.d[82]*work.L[62]-work.L[147]*work.d[83]*work.L[63]-work.L[148]*work.d[84]*work.L[64]-work.L[149]*work.d[85]*1-work.L[144]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[263]-work.L[160]*work.d[81]*work.L[61]-work.L[161]*work.d[82]*work.L[62]-work.L[162]*work.d[83]*work.L[63]-work.L[163]*work.d[84]*work.L[64]-work.L[164]*work.d[85]*1-work.L[159]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[264]-work.L[176]*work.d[81]*work.L[61]-work.L[177]*work.d[82]*work.L[62]-work.L[178]*work.d[83]*work.L[63]-work.L[179]*work.d[84]*work.L[64]-work.L[180]*work.d[85]*1-work.L[175]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[265]-work.L[193]*work.d[81]*work.L[61]-work.L[194]*work.d[82]*work.L[62]-work.L[195]*work.d[83]*work.L[63]-work.L[196]*work.d[84]*work.L[64]-work.L[197]*work.d[85]*1-work.L[192]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[266]-work.L[211]*work.d[81]*work.L[61]-work.L[212]*work.d[82]*work.L[62]-work.L[213]*work.d[83]*work.L[63]-work.L[214]*work.d[84]*work.L[64]-work.L[215]*work.d[85]*1-work.L[210]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[267]-work.L[230]*work.d[81]*work.L[61]-work.L[231]*work.d[82]*work.L[62]-work.L[232]*work.d[83]*work.L[63]-work.L[233]*work.d[84]*work.L[64]-work.L[234]*work.d[85]*1-work.L[229]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[268]-work.L[250]*work.d[81]*work.L[61]-work.L[251]*work.d[82]*work.L[62]-work.L[252]*work.d[83]*work.L[63]-work.L[253]*work.d[84]*work.L[64]-work.L[254]*work.d[85]*1-work.L[249]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[269]-work.L[271]*work.d[81]*work.L[61]-work.L[272]*work.d[82]*work.L[62]-work.L[273]*work.d[83]*work.L[63]-work.L[274]*work.d[84]*work.L[64]-work.L[275]*work.d[85]*1-work.L[270]*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[270]-work.L[68]*work.d[81]*work.L[68]-work.L[69]*work.d[82]*work.L[69]-work.L[70]*work.d[83]*work.L[70]-work.L[71]*work.d[84]*work.L[71]-work.L[72]*work.d[85]*work.L[72]-1*work.d[86]*1-work.L[65]*work.d[45]*work.L[65]-work.L[66]*work.d[65]*work.L[66]-work.L[67]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[271]-work.L[76]*work.d[81]*work.L[68]-work.L[77]*work.d[82]*work.L[69]-work.L[78]*work.d[83]*work.L[70]-work.L[79]*work.d[84]*work.L[71]-work.L[80]*work.d[85]*work.L[72]-work.L[81]*work.d[86]*1-work.L[75]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[272]-work.L[85]*work.d[81]*work.L[68]-work.L[86]*work.d[82]*work.L[69]-work.L[87]*work.d[83]*work.L[70]-work.L[88]*work.d[84]*work.L[71]-work.L[89]*work.d[85]*work.L[72]-work.L[90]*work.d[86]*1-work.L[84]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[273]-work.L[95]*work.d[81]*work.L[68]-work.L[96]*work.d[82]*work.L[69]-work.L[97]*work.d[83]*work.L[70]-work.L[98]*work.d[84]*work.L[71]-work.L[99]*work.d[85]*work.L[72]-work.L[100]*work.d[86]*1-work.L[94]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[274]-work.L[106]*work.d[81]*work.L[68]-work.L[107]*work.d[82]*work.L[69]-work.L[108]*work.d[83]*work.L[70]-work.L[109]*work.d[84]*work.L[71]-work.L[110]*work.d[85]*work.L[72]-work.L[111]*work.d[86]*1-work.L[105]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[275]-work.L[118]*work.d[81]*work.L[68]-work.L[119]*work.d[82]*work.L[69]-work.L[120]*work.d[83]*work.L[70]-work.L[121]*work.d[84]*work.L[71]-work.L[122]*work.d[85]*work.L[72]-work.L[123]*work.d[86]*1-work.L[117]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[276]-work.L[131]*work.d[81]*work.L[68]-work.L[132]*work.d[82]*work.L[69]-work.L[133]*work.d[83]*work.L[70]-work.L[134]*work.d[84]*work.L[71]-work.L[135]*work.d[85]*work.L[72]-work.L[136]*work.d[86]*1-work.L[130]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[277]-work.L[145]*work.d[81]*work.L[68]-work.L[146]*work.d[82]*work.L[69]-work.L[147]*work.d[83]*work.L[70]-work.L[148]*work.d[84]*work.L[71]-work.L[149]*work.d[85]*work.L[72]-work.L[150]*work.d[86]*1-work.L[144]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[278]-work.L[160]*work.d[81]*work.L[68]-work.L[161]*work.d[82]*work.L[69]-work.L[162]*work.d[83]*work.L[70]-work.L[163]*work.d[84]*work.L[71]-work.L[164]*work.d[85]*work.L[72]-work.L[165]*work.d[86]*1-work.L[159]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[279]-work.L[176]*work.d[81]*work.L[68]-work.L[177]*work.d[82]*work.L[69]-work.L[178]*work.d[83]*work.L[70]-work.L[179]*work.d[84]*work.L[71]-work.L[180]*work.d[85]*work.L[72]-work.L[181]*work.d[86]*1-work.L[175]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[280]-work.L[193]*work.d[81]*work.L[68]-work.L[194]*work.d[82]*work.L[69]-work.L[195]*work.d[83]*work.L[70]-work.L[196]*work.d[84]*work.L[71]-work.L[197]*work.d[85]*work.L[72]-work.L[198]*work.d[86]*1-work.L[192]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[281]-work.L[211]*work.d[81]*work.L[68]-work.L[212]*work.d[82]*work.L[69]-work.L[213]*work.d[83]*work.L[70]-work.L[214]*work.d[84]*work.L[71]-work.L[215]*work.d[85]*work.L[72]-work.L[216]*work.d[86]*1-work.L[210]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[282]-work.L[230]*work.d[81]*work.L[68]-work.L[231]*work.d[82]*work.L[69]-work.L[232]*work.d[83]*work.L[70]-work.L[233]*work.d[84]*work.L[71]-work.L[234]*work.d[85]*work.L[72]-work.L[235]*work.d[86]*1-work.L[229]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[283]-work.L[250]*work.d[81]*work.L[68]-work.L[251]*work.d[82]*work.L[69]-work.L[252]*work.d[83]*work.L[70]-work.L[253]*work.d[84]*work.L[71]-work.L[254]*work.d[85]*work.L[72]-work.L[255]*work.d[86]*1-work.L[249]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[284]-work.L[271]*work.d[81]*work.L[68]-work.L[272]*work.d[82]*work.L[69]-work.L[273]*work.d[83]*work.L[70]-work.L[274]*work.d[84]*work.L[71]-work.L[275]*work.d[85]*work.L[72]-work.L[276]*work.d[86]*1-work.L[270]*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[285]-work.L[76]*work.d[81]*work.L[76]-work.L[77]*work.d[82]*work.L[77]-work.L[78]*work.d[83]*work.L[78]-work.L[79]*work.d[84]*work.L[79]-work.L[80]*work.d[85]*work.L[80]-work.L[81]*work.d[86]*work.L[81]-1*work.d[87]*1-work.L[73]*work.d[46]*work.L[73]-work.L[74]*work.d[66]*work.L[74]-work.L[75]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[286]-work.L[85]*work.d[81]*work.L[76]-work.L[86]*work.d[82]*work.L[77]-work.L[87]*work.d[83]*work.L[78]-work.L[88]*work.d[84]*work.L[79]-work.L[89]*work.d[85]*work.L[80]-work.L[90]*work.d[86]*work.L[81]-work.L[91]*work.d[87]*1-work.L[84]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[287]-work.L[95]*work.d[81]*work.L[76]-work.L[96]*work.d[82]*work.L[77]-work.L[97]*work.d[83]*work.L[78]-work.L[98]*work.d[84]*work.L[79]-work.L[99]*work.d[85]*work.L[80]-work.L[100]*work.d[86]*work.L[81]-work.L[101]*work.d[87]*1-work.L[94]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[288]-work.L[106]*work.d[81]*work.L[76]-work.L[107]*work.d[82]*work.L[77]-work.L[108]*work.d[83]*work.L[78]-work.L[109]*work.d[84]*work.L[79]-work.L[110]*work.d[85]*work.L[80]-work.L[111]*work.d[86]*work.L[81]-work.L[112]*work.d[87]*1-work.L[105]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[289]-work.L[118]*work.d[81]*work.L[76]-work.L[119]*work.d[82]*work.L[77]-work.L[120]*work.d[83]*work.L[78]-work.L[121]*work.d[84]*work.L[79]-work.L[122]*work.d[85]*work.L[80]-work.L[123]*work.d[86]*work.L[81]-work.L[124]*work.d[87]*1-work.L[117]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[290]-work.L[131]*work.d[81]*work.L[76]-work.L[132]*work.d[82]*work.L[77]-work.L[133]*work.d[83]*work.L[78]-work.L[134]*work.d[84]*work.L[79]-work.L[135]*work.d[85]*work.L[80]-work.L[136]*work.d[86]*work.L[81]-work.L[137]*work.d[87]*1-work.L[130]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[291]-work.L[145]*work.d[81]*work.L[76]-work.L[146]*work.d[82]*work.L[77]-work.L[147]*work.d[83]*work.L[78]-work.L[148]*work.d[84]*work.L[79]-work.L[149]*work.d[85]*work.L[80]-work.L[150]*work.d[86]*work.L[81]-work.L[151]*work.d[87]*1-work.L[144]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[292]-work.L[160]*work.d[81]*work.L[76]-work.L[161]*work.d[82]*work.L[77]-work.L[162]*work.d[83]*work.L[78]-work.L[163]*work.d[84]*work.L[79]-work.L[164]*work.d[85]*work.L[80]-work.L[165]*work.d[86]*work.L[81]-work.L[166]*work.d[87]*1-work.L[159]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[293]-work.L[176]*work.d[81]*work.L[76]-work.L[177]*work.d[82]*work.L[77]-work.L[178]*work.d[83]*work.L[78]-work.L[179]*work.d[84]*work.L[79]-work.L[180]*work.d[85]*work.L[80]-work.L[181]*work.d[86]*work.L[81]-work.L[182]*work.d[87]*1-work.L[175]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[294]-work.L[193]*work.d[81]*work.L[76]-work.L[194]*work.d[82]*work.L[77]-work.L[195]*work.d[83]*work.L[78]-work.L[196]*work.d[84]*work.L[79]-work.L[197]*work.d[85]*work.L[80]-work.L[198]*work.d[86]*work.L[81]-work.L[199]*work.d[87]*1-work.L[192]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[295]-work.L[211]*work.d[81]*work.L[76]-work.L[212]*work.d[82]*work.L[77]-work.L[213]*work.d[83]*work.L[78]-work.L[214]*work.d[84]*work.L[79]-work.L[215]*work.d[85]*work.L[80]-work.L[216]*work.d[86]*work.L[81]-work.L[217]*work.d[87]*1-work.L[210]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[296]-work.L[230]*work.d[81]*work.L[76]-work.L[231]*work.d[82]*work.L[77]-work.L[232]*work.d[83]*work.L[78]-work.L[233]*work.d[84]*work.L[79]-work.L[234]*work.d[85]*work.L[80]-work.L[235]*work.d[86]*work.L[81]-work.L[236]*work.d[87]*1-work.L[229]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[297]-work.L[250]*work.d[81]*work.L[76]-work.L[251]*work.d[82]*work.L[77]-work.L[252]*work.d[83]*work.L[78]-work.L[253]*work.d[84]*work.L[79]-work.L[254]*work.d[85]*work.L[80]-work.L[255]*work.d[86]*work.L[81]-work.L[256]*work.d[87]*1-work.L[249]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[298]-work.L[271]*work.d[81]*work.L[76]-work.L[272]*work.d[82]*work.L[77]-work.L[273]*work.d[83]*work.L[78]-work.L[274]*work.d[84]*work.L[79]-work.L[275]*work.d[85]*work.L[80]-work.L[276]*work.d[86]*work.L[81]-work.L[277]*work.d[87]*1-work.L[270]*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[299]-work.L[85]*work.d[81]*work.L[85]-work.L[86]*work.d[82]*work.L[86]-work.L[87]*work.d[83]*work.L[87]-work.L[88]*work.d[84]*work.L[88]-work.L[89]*work.d[85]*work.L[89]-work.L[90]*work.d[86]*work.L[90]-work.L[91]*work.d[87]*work.L[91]-1*work.d[88]*1-work.L[82]*work.d[47]*work.L[82]-work.L[83]*work.d[67]*work.L[83]-work.L[84]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[300]-work.L[95]*work.d[81]*work.L[85]-work.L[96]*work.d[82]*work.L[86]-work.L[97]*work.d[83]*work.L[87]-work.L[98]*work.d[84]*work.L[88]-work.L[99]*work.d[85]*work.L[89]-work.L[100]*work.d[86]*work.L[90]-work.L[101]*work.d[87]*work.L[91]-work.L[102]*work.d[88]*1-work.L[94]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[301]-work.L[106]*work.d[81]*work.L[85]-work.L[107]*work.d[82]*work.L[86]-work.L[108]*work.d[83]*work.L[87]-work.L[109]*work.d[84]*work.L[88]-work.L[110]*work.d[85]*work.L[89]-work.L[111]*work.d[86]*work.L[90]-work.L[112]*work.d[87]*work.L[91]-work.L[113]*work.d[88]*1-work.L[105]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[302]-work.L[118]*work.d[81]*work.L[85]-work.L[119]*work.d[82]*work.L[86]-work.L[120]*work.d[83]*work.L[87]-work.L[121]*work.d[84]*work.L[88]-work.L[122]*work.d[85]*work.L[89]-work.L[123]*work.d[86]*work.L[90]-work.L[124]*work.d[87]*work.L[91]-work.L[125]*work.d[88]*1-work.L[117]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[303]-work.L[131]*work.d[81]*work.L[85]-work.L[132]*work.d[82]*work.L[86]-work.L[133]*work.d[83]*work.L[87]-work.L[134]*work.d[84]*work.L[88]-work.L[135]*work.d[85]*work.L[89]-work.L[136]*work.d[86]*work.L[90]-work.L[137]*work.d[87]*work.L[91]-work.L[138]*work.d[88]*1-work.L[130]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[304]-work.L[145]*work.d[81]*work.L[85]-work.L[146]*work.d[82]*work.L[86]-work.L[147]*work.d[83]*work.L[87]-work.L[148]*work.d[84]*work.L[88]-work.L[149]*work.d[85]*work.L[89]-work.L[150]*work.d[86]*work.L[90]-work.L[151]*work.d[87]*work.L[91]-work.L[152]*work.d[88]*1-work.L[144]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[305]-work.L[160]*work.d[81]*work.L[85]-work.L[161]*work.d[82]*work.L[86]-work.L[162]*work.d[83]*work.L[87]-work.L[163]*work.d[84]*work.L[88]-work.L[164]*work.d[85]*work.L[89]-work.L[165]*work.d[86]*work.L[90]-work.L[166]*work.d[87]*work.L[91]-work.L[167]*work.d[88]*1-work.L[159]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[306]-work.L[176]*work.d[81]*work.L[85]-work.L[177]*work.d[82]*work.L[86]-work.L[178]*work.d[83]*work.L[87]-work.L[179]*work.d[84]*work.L[88]-work.L[180]*work.d[85]*work.L[89]-work.L[181]*work.d[86]*work.L[90]-work.L[182]*work.d[87]*work.L[91]-work.L[183]*work.d[88]*1-work.L[175]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[307]-work.L[193]*work.d[81]*work.L[85]-work.L[194]*work.d[82]*work.L[86]-work.L[195]*work.d[83]*work.L[87]-work.L[196]*work.d[84]*work.L[88]-work.L[197]*work.d[85]*work.L[89]-work.L[198]*work.d[86]*work.L[90]-work.L[199]*work.d[87]*work.L[91]-work.L[200]*work.d[88]*1-work.L[192]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[308]-work.L[211]*work.d[81]*work.L[85]-work.L[212]*work.d[82]*work.L[86]-work.L[213]*work.d[83]*work.L[87]-work.L[214]*work.d[84]*work.L[88]-work.L[215]*work.d[85]*work.L[89]-work.L[216]*work.d[86]*work.L[90]-work.L[217]*work.d[87]*work.L[91]-work.L[218]*work.d[88]*1-work.L[210]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[309]-work.L[230]*work.d[81]*work.L[85]-work.L[231]*work.d[82]*work.L[86]-work.L[232]*work.d[83]*work.L[87]-work.L[233]*work.d[84]*work.L[88]-work.L[234]*work.d[85]*work.L[89]-work.L[235]*work.d[86]*work.L[90]-work.L[236]*work.d[87]*work.L[91]-work.L[237]*work.d[88]*1-work.L[229]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[310]-work.L[250]*work.d[81]*work.L[85]-work.L[251]*work.d[82]*work.L[86]-work.L[252]*work.d[83]*work.L[87]-work.L[253]*work.d[84]*work.L[88]-work.L[254]*work.d[85]*work.L[89]-work.L[255]*work.d[86]*work.L[90]-work.L[256]*work.d[87]*work.L[91]-work.L[257]*work.d[88]*1-work.L[249]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[311]-work.L[271]*work.d[81]*work.L[85]-work.L[272]*work.d[82]*work.L[86]-work.L[273]*work.d[83]*work.L[87]-work.L[274]*work.d[84]*work.L[88]-work.L[275]*work.d[85]*work.L[89]-work.L[276]*work.d[86]*work.L[90]-work.L[277]*work.d[87]*work.L[91]-work.L[278]*work.d[88]*1-work.L[270]*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[312]-work.L[95]*work.d[81]*work.L[95]-work.L[96]*work.d[82]*work.L[96]-work.L[97]*work.d[83]*work.L[97]-work.L[98]*work.d[84]*work.L[98]-work.L[99]*work.d[85]*work.L[99]-work.L[100]*work.d[86]*work.L[100]-work.L[101]*work.d[87]*work.L[101]-work.L[102]*work.d[88]*work.L[102]-1*work.d[89]*1-work.L[92]*work.d[48]*work.L[92]-work.L[93]*work.d[68]*work.L[93]-work.L[94]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[313]-work.L[106]*work.d[81]*work.L[95]-work.L[107]*work.d[82]*work.L[96]-work.L[108]*work.d[83]*work.L[97]-work.L[109]*work.d[84]*work.L[98]-work.L[110]*work.d[85]*work.L[99]-work.L[111]*work.d[86]*work.L[100]-work.L[112]*work.d[87]*work.L[101]-work.L[113]*work.d[88]*work.L[102]-work.L[114]*work.d[89]*1-work.L[105]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[314]-work.L[118]*work.d[81]*work.L[95]-work.L[119]*work.d[82]*work.L[96]-work.L[120]*work.d[83]*work.L[97]-work.L[121]*work.d[84]*work.L[98]-work.L[122]*work.d[85]*work.L[99]-work.L[123]*work.d[86]*work.L[100]-work.L[124]*work.d[87]*work.L[101]-work.L[125]*work.d[88]*work.L[102]-work.L[126]*work.d[89]*1-work.L[117]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[315]-work.L[131]*work.d[81]*work.L[95]-work.L[132]*work.d[82]*work.L[96]-work.L[133]*work.d[83]*work.L[97]-work.L[134]*work.d[84]*work.L[98]-work.L[135]*work.d[85]*work.L[99]-work.L[136]*work.d[86]*work.L[100]-work.L[137]*work.d[87]*work.L[101]-work.L[138]*work.d[88]*work.L[102]-work.L[139]*work.d[89]*1-work.L[130]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[316]-work.L[145]*work.d[81]*work.L[95]-work.L[146]*work.d[82]*work.L[96]-work.L[147]*work.d[83]*work.L[97]-work.L[148]*work.d[84]*work.L[98]-work.L[149]*work.d[85]*work.L[99]-work.L[150]*work.d[86]*work.L[100]-work.L[151]*work.d[87]*work.L[101]-work.L[152]*work.d[88]*work.L[102]-work.L[153]*work.d[89]*1-work.L[144]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[317]-work.L[160]*work.d[81]*work.L[95]-work.L[161]*work.d[82]*work.L[96]-work.L[162]*work.d[83]*work.L[97]-work.L[163]*work.d[84]*work.L[98]-work.L[164]*work.d[85]*work.L[99]-work.L[165]*work.d[86]*work.L[100]-work.L[166]*work.d[87]*work.L[101]-work.L[167]*work.d[88]*work.L[102]-work.L[168]*work.d[89]*1-work.L[159]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[318]-work.L[176]*work.d[81]*work.L[95]-work.L[177]*work.d[82]*work.L[96]-work.L[178]*work.d[83]*work.L[97]-work.L[179]*work.d[84]*work.L[98]-work.L[180]*work.d[85]*work.L[99]-work.L[181]*work.d[86]*work.L[100]-work.L[182]*work.d[87]*work.L[101]-work.L[183]*work.d[88]*work.L[102]-work.L[184]*work.d[89]*1-work.L[175]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[319]-work.L[193]*work.d[81]*work.L[95]-work.L[194]*work.d[82]*work.L[96]-work.L[195]*work.d[83]*work.L[97]-work.L[196]*work.d[84]*work.L[98]-work.L[197]*work.d[85]*work.L[99]-work.L[198]*work.d[86]*work.L[100]-work.L[199]*work.d[87]*work.L[101]-work.L[200]*work.d[88]*work.L[102]-work.L[201]*work.d[89]*1-work.L[192]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[320]-work.L[211]*work.d[81]*work.L[95]-work.L[212]*work.d[82]*work.L[96]-work.L[213]*work.d[83]*work.L[97]-work.L[214]*work.d[84]*work.L[98]-work.L[215]*work.d[85]*work.L[99]-work.L[216]*work.d[86]*work.L[100]-work.L[217]*work.d[87]*work.L[101]-work.L[218]*work.d[88]*work.L[102]-work.L[219]*work.d[89]*1-work.L[210]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[321]-work.L[230]*work.d[81]*work.L[95]-work.L[231]*work.d[82]*work.L[96]-work.L[232]*work.d[83]*work.L[97]-work.L[233]*work.d[84]*work.L[98]-work.L[234]*work.d[85]*work.L[99]-work.L[235]*work.d[86]*work.L[100]-work.L[236]*work.d[87]*work.L[101]-work.L[237]*work.d[88]*work.L[102]-work.L[238]*work.d[89]*1-work.L[229]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[322]-work.L[250]*work.d[81]*work.L[95]-work.L[251]*work.d[82]*work.L[96]-work.L[252]*work.d[83]*work.L[97]-work.L[253]*work.d[84]*work.L[98]-work.L[254]*work.d[85]*work.L[99]-work.L[255]*work.d[86]*work.L[100]-work.L[256]*work.d[87]*work.L[101]-work.L[257]*work.d[88]*work.L[102]-work.L[258]*work.d[89]*1-work.L[249]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[323]-work.L[271]*work.d[81]*work.L[95]-work.L[272]*work.d[82]*work.L[96]-work.L[273]*work.d[83]*work.L[97]-work.L[274]*work.d[84]*work.L[98]-work.L[275]*work.d[85]*work.L[99]-work.L[276]*work.d[86]*work.L[100]-work.L[277]*work.d[87]*work.L[101]-work.L[278]*work.d[88]*work.L[102]-work.L[279]*work.d[89]*1-work.L[270]*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[324]-work.L[106]*work.d[81]*work.L[106]-work.L[107]*work.d[82]*work.L[107]-work.L[108]*work.d[83]*work.L[108]-work.L[109]*work.d[84]*work.L[109]-work.L[110]*work.d[85]*work.L[110]-work.L[111]*work.d[86]*work.L[111]-work.L[112]*work.d[87]*work.L[112]-work.L[113]*work.d[88]*work.L[113]-work.L[114]*work.d[89]*work.L[114]-1*work.d[90]*1-work.L[103]*work.d[49]*work.L[103]-work.L[104]*work.d[69]*work.L[104]-work.L[105]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[325]-work.L[118]*work.d[81]*work.L[106]-work.L[119]*work.d[82]*work.L[107]-work.L[120]*work.d[83]*work.L[108]-work.L[121]*work.d[84]*work.L[109]-work.L[122]*work.d[85]*work.L[110]-work.L[123]*work.d[86]*work.L[111]-work.L[124]*work.d[87]*work.L[112]-work.L[125]*work.d[88]*work.L[113]-work.L[126]*work.d[89]*work.L[114]-work.L[127]*work.d[90]*1-work.L[117]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[326]-work.L[131]*work.d[81]*work.L[106]-work.L[132]*work.d[82]*work.L[107]-work.L[133]*work.d[83]*work.L[108]-work.L[134]*work.d[84]*work.L[109]-work.L[135]*work.d[85]*work.L[110]-work.L[136]*work.d[86]*work.L[111]-work.L[137]*work.d[87]*work.L[112]-work.L[138]*work.d[88]*work.L[113]-work.L[139]*work.d[89]*work.L[114]-work.L[140]*work.d[90]*1-work.L[130]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[327]-work.L[145]*work.d[81]*work.L[106]-work.L[146]*work.d[82]*work.L[107]-work.L[147]*work.d[83]*work.L[108]-work.L[148]*work.d[84]*work.L[109]-work.L[149]*work.d[85]*work.L[110]-work.L[150]*work.d[86]*work.L[111]-work.L[151]*work.d[87]*work.L[112]-work.L[152]*work.d[88]*work.L[113]-work.L[153]*work.d[89]*work.L[114]-work.L[154]*work.d[90]*1-work.L[144]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[328]-work.L[160]*work.d[81]*work.L[106]-work.L[161]*work.d[82]*work.L[107]-work.L[162]*work.d[83]*work.L[108]-work.L[163]*work.d[84]*work.L[109]-work.L[164]*work.d[85]*work.L[110]-work.L[165]*work.d[86]*work.L[111]-work.L[166]*work.d[87]*work.L[112]-work.L[167]*work.d[88]*work.L[113]-work.L[168]*work.d[89]*work.L[114]-work.L[169]*work.d[90]*1-work.L[159]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[329]-work.L[176]*work.d[81]*work.L[106]-work.L[177]*work.d[82]*work.L[107]-work.L[178]*work.d[83]*work.L[108]-work.L[179]*work.d[84]*work.L[109]-work.L[180]*work.d[85]*work.L[110]-work.L[181]*work.d[86]*work.L[111]-work.L[182]*work.d[87]*work.L[112]-work.L[183]*work.d[88]*work.L[113]-work.L[184]*work.d[89]*work.L[114]-work.L[185]*work.d[90]*1-work.L[175]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[330]-work.L[193]*work.d[81]*work.L[106]-work.L[194]*work.d[82]*work.L[107]-work.L[195]*work.d[83]*work.L[108]-work.L[196]*work.d[84]*work.L[109]-work.L[197]*work.d[85]*work.L[110]-work.L[198]*work.d[86]*work.L[111]-work.L[199]*work.d[87]*work.L[112]-work.L[200]*work.d[88]*work.L[113]-work.L[201]*work.d[89]*work.L[114]-work.L[202]*work.d[90]*1-work.L[192]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[331]-work.L[211]*work.d[81]*work.L[106]-work.L[212]*work.d[82]*work.L[107]-work.L[213]*work.d[83]*work.L[108]-work.L[214]*work.d[84]*work.L[109]-work.L[215]*work.d[85]*work.L[110]-work.L[216]*work.d[86]*work.L[111]-work.L[217]*work.d[87]*work.L[112]-work.L[218]*work.d[88]*work.L[113]-work.L[219]*work.d[89]*work.L[114]-work.L[220]*work.d[90]*1-work.L[210]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[332]-work.L[230]*work.d[81]*work.L[106]-work.L[231]*work.d[82]*work.L[107]-work.L[232]*work.d[83]*work.L[108]-work.L[233]*work.d[84]*work.L[109]-work.L[234]*work.d[85]*work.L[110]-work.L[235]*work.d[86]*work.L[111]-work.L[236]*work.d[87]*work.L[112]-work.L[237]*work.d[88]*work.L[113]-work.L[238]*work.d[89]*work.L[114]-work.L[239]*work.d[90]*1-work.L[229]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[333]-work.L[250]*work.d[81]*work.L[106]-work.L[251]*work.d[82]*work.L[107]-work.L[252]*work.d[83]*work.L[108]-work.L[253]*work.d[84]*work.L[109]-work.L[254]*work.d[85]*work.L[110]-work.L[255]*work.d[86]*work.L[111]-work.L[256]*work.d[87]*work.L[112]-work.L[257]*work.d[88]*work.L[113]-work.L[258]*work.d[89]*work.L[114]-work.L[259]*work.d[90]*1-work.L[249]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[334]-work.L[271]*work.d[81]*work.L[106]-work.L[272]*work.d[82]*work.L[107]-work.L[273]*work.d[83]*work.L[108]-work.L[274]*work.d[84]*work.L[109]-work.L[275]*work.d[85]*work.L[110]-work.L[276]*work.d[86]*work.L[111]-work.L[277]*work.d[87]*work.L[112]-work.L[278]*work.d[88]*work.L[113]-work.L[279]*work.d[89]*work.L[114]-work.L[280]*work.d[90]*1-work.L[270]*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[335]-work.L[118]*work.d[81]*work.L[118]-work.L[119]*work.d[82]*work.L[119]-work.L[120]*work.d[83]*work.L[120]-work.L[121]*work.d[84]*work.L[121]-work.L[122]*work.d[85]*work.L[122]-work.L[123]*work.d[86]*work.L[123]-work.L[124]*work.d[87]*work.L[124]-work.L[125]*work.d[88]*work.L[125]-work.L[126]*work.d[89]*work.L[126]-work.L[127]*work.d[90]*work.L[127]-1*work.d[91]*1-work.L[115]*work.d[50]*work.L[115]-work.L[116]*work.d[70]*work.L[116]-work.L[117]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[336]-work.L[131]*work.d[81]*work.L[118]-work.L[132]*work.d[82]*work.L[119]-work.L[133]*work.d[83]*work.L[120]-work.L[134]*work.d[84]*work.L[121]-work.L[135]*work.d[85]*work.L[122]-work.L[136]*work.d[86]*work.L[123]-work.L[137]*work.d[87]*work.L[124]-work.L[138]*work.d[88]*work.L[125]-work.L[139]*work.d[89]*work.L[126]-work.L[140]*work.d[90]*work.L[127]-work.L[141]*work.d[91]*1-work.L[130]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[337]-work.L[145]*work.d[81]*work.L[118]-work.L[146]*work.d[82]*work.L[119]-work.L[147]*work.d[83]*work.L[120]-work.L[148]*work.d[84]*work.L[121]-work.L[149]*work.d[85]*work.L[122]-work.L[150]*work.d[86]*work.L[123]-work.L[151]*work.d[87]*work.L[124]-work.L[152]*work.d[88]*work.L[125]-work.L[153]*work.d[89]*work.L[126]-work.L[154]*work.d[90]*work.L[127]-work.L[155]*work.d[91]*1-work.L[144]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[338]-work.L[160]*work.d[81]*work.L[118]-work.L[161]*work.d[82]*work.L[119]-work.L[162]*work.d[83]*work.L[120]-work.L[163]*work.d[84]*work.L[121]-work.L[164]*work.d[85]*work.L[122]-work.L[165]*work.d[86]*work.L[123]-work.L[166]*work.d[87]*work.L[124]-work.L[167]*work.d[88]*work.L[125]-work.L[168]*work.d[89]*work.L[126]-work.L[169]*work.d[90]*work.L[127]-work.L[170]*work.d[91]*1-work.L[159]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[339]-work.L[176]*work.d[81]*work.L[118]-work.L[177]*work.d[82]*work.L[119]-work.L[178]*work.d[83]*work.L[120]-work.L[179]*work.d[84]*work.L[121]-work.L[180]*work.d[85]*work.L[122]-work.L[181]*work.d[86]*work.L[123]-work.L[182]*work.d[87]*work.L[124]-work.L[183]*work.d[88]*work.L[125]-work.L[184]*work.d[89]*work.L[126]-work.L[185]*work.d[90]*work.L[127]-work.L[186]*work.d[91]*1-work.L[175]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[340]-work.L[193]*work.d[81]*work.L[118]-work.L[194]*work.d[82]*work.L[119]-work.L[195]*work.d[83]*work.L[120]-work.L[196]*work.d[84]*work.L[121]-work.L[197]*work.d[85]*work.L[122]-work.L[198]*work.d[86]*work.L[123]-work.L[199]*work.d[87]*work.L[124]-work.L[200]*work.d[88]*work.L[125]-work.L[201]*work.d[89]*work.L[126]-work.L[202]*work.d[90]*work.L[127]-work.L[203]*work.d[91]*1-work.L[192]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[341]-work.L[211]*work.d[81]*work.L[118]-work.L[212]*work.d[82]*work.L[119]-work.L[213]*work.d[83]*work.L[120]-work.L[214]*work.d[84]*work.L[121]-work.L[215]*work.d[85]*work.L[122]-work.L[216]*work.d[86]*work.L[123]-work.L[217]*work.d[87]*work.L[124]-work.L[218]*work.d[88]*work.L[125]-work.L[219]*work.d[89]*work.L[126]-work.L[220]*work.d[90]*work.L[127]-work.L[221]*work.d[91]*1-work.L[210]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[342]-work.L[230]*work.d[81]*work.L[118]-work.L[231]*work.d[82]*work.L[119]-work.L[232]*work.d[83]*work.L[120]-work.L[233]*work.d[84]*work.L[121]-work.L[234]*work.d[85]*work.L[122]-work.L[235]*work.d[86]*work.L[123]-work.L[236]*work.d[87]*work.L[124]-work.L[237]*work.d[88]*work.L[125]-work.L[238]*work.d[89]*work.L[126]-work.L[239]*work.d[90]*work.L[127]-work.L[240]*work.d[91]*1-work.L[229]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[343]-work.L[250]*work.d[81]*work.L[118]-work.L[251]*work.d[82]*work.L[119]-work.L[252]*work.d[83]*work.L[120]-work.L[253]*work.d[84]*work.L[121]-work.L[254]*work.d[85]*work.L[122]-work.L[255]*work.d[86]*work.L[123]-work.L[256]*work.d[87]*work.L[124]-work.L[257]*work.d[88]*work.L[125]-work.L[258]*work.d[89]*work.L[126]-work.L[259]*work.d[90]*work.L[127]-work.L[260]*work.d[91]*1-work.L[249]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[344]-work.L[271]*work.d[81]*work.L[118]-work.L[272]*work.d[82]*work.L[119]-work.L[273]*work.d[83]*work.L[120]-work.L[274]*work.d[84]*work.L[121]-work.L[275]*work.d[85]*work.L[122]-work.L[276]*work.d[86]*work.L[123]-work.L[277]*work.d[87]*work.L[124]-work.L[278]*work.d[88]*work.L[125]-work.L[279]*work.d[89]*work.L[126]-work.L[280]*work.d[90]*work.L[127]-work.L[281]*work.d[91]*1-work.L[270]*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[345]-work.L[131]*work.d[81]*work.L[131]-work.L[132]*work.d[82]*work.L[132]-work.L[133]*work.d[83]*work.L[133]-work.L[134]*work.d[84]*work.L[134]-work.L[135]*work.d[85]*work.L[135]-work.L[136]*work.d[86]*work.L[136]-work.L[137]*work.d[87]*work.L[137]-work.L[138]*work.d[88]*work.L[138]-work.L[139]*work.d[89]*work.L[139]-work.L[140]*work.d[90]*work.L[140]-work.L[141]*work.d[91]*work.L[141]-1*work.d[92]*1-work.L[128]*work.d[51]*work.L[128]-work.L[129]*work.d[71]*work.L[129]-work.L[130]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[346]-work.L[145]*work.d[81]*work.L[131]-work.L[146]*work.d[82]*work.L[132]-work.L[147]*work.d[83]*work.L[133]-work.L[148]*work.d[84]*work.L[134]-work.L[149]*work.d[85]*work.L[135]-work.L[150]*work.d[86]*work.L[136]-work.L[151]*work.d[87]*work.L[137]-work.L[152]*work.d[88]*work.L[138]-work.L[153]*work.d[89]*work.L[139]-work.L[154]*work.d[90]*work.L[140]-work.L[155]*work.d[91]*work.L[141]-work.L[156]*work.d[92]*1-work.L[144]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[347]-work.L[160]*work.d[81]*work.L[131]-work.L[161]*work.d[82]*work.L[132]-work.L[162]*work.d[83]*work.L[133]-work.L[163]*work.d[84]*work.L[134]-work.L[164]*work.d[85]*work.L[135]-work.L[165]*work.d[86]*work.L[136]-work.L[166]*work.d[87]*work.L[137]-work.L[167]*work.d[88]*work.L[138]-work.L[168]*work.d[89]*work.L[139]-work.L[169]*work.d[90]*work.L[140]-work.L[170]*work.d[91]*work.L[141]-work.L[171]*work.d[92]*1-work.L[159]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[348]-work.L[176]*work.d[81]*work.L[131]-work.L[177]*work.d[82]*work.L[132]-work.L[178]*work.d[83]*work.L[133]-work.L[179]*work.d[84]*work.L[134]-work.L[180]*work.d[85]*work.L[135]-work.L[181]*work.d[86]*work.L[136]-work.L[182]*work.d[87]*work.L[137]-work.L[183]*work.d[88]*work.L[138]-work.L[184]*work.d[89]*work.L[139]-work.L[185]*work.d[90]*work.L[140]-work.L[186]*work.d[91]*work.L[141]-work.L[187]*work.d[92]*1-work.L[175]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[349]-work.L[193]*work.d[81]*work.L[131]-work.L[194]*work.d[82]*work.L[132]-work.L[195]*work.d[83]*work.L[133]-work.L[196]*work.d[84]*work.L[134]-work.L[197]*work.d[85]*work.L[135]-work.L[198]*work.d[86]*work.L[136]-work.L[199]*work.d[87]*work.L[137]-work.L[200]*work.d[88]*work.L[138]-work.L[201]*work.d[89]*work.L[139]-work.L[202]*work.d[90]*work.L[140]-work.L[203]*work.d[91]*work.L[141]-work.L[204]*work.d[92]*1-work.L[192]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[350]-work.L[211]*work.d[81]*work.L[131]-work.L[212]*work.d[82]*work.L[132]-work.L[213]*work.d[83]*work.L[133]-work.L[214]*work.d[84]*work.L[134]-work.L[215]*work.d[85]*work.L[135]-work.L[216]*work.d[86]*work.L[136]-work.L[217]*work.d[87]*work.L[137]-work.L[218]*work.d[88]*work.L[138]-work.L[219]*work.d[89]*work.L[139]-work.L[220]*work.d[90]*work.L[140]-work.L[221]*work.d[91]*work.L[141]-work.L[222]*work.d[92]*1-work.L[210]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[351]-work.L[230]*work.d[81]*work.L[131]-work.L[231]*work.d[82]*work.L[132]-work.L[232]*work.d[83]*work.L[133]-work.L[233]*work.d[84]*work.L[134]-work.L[234]*work.d[85]*work.L[135]-work.L[235]*work.d[86]*work.L[136]-work.L[236]*work.d[87]*work.L[137]-work.L[237]*work.d[88]*work.L[138]-work.L[238]*work.d[89]*work.L[139]-work.L[239]*work.d[90]*work.L[140]-work.L[240]*work.d[91]*work.L[141]-work.L[241]*work.d[92]*1-work.L[229]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[352]-work.L[250]*work.d[81]*work.L[131]-work.L[251]*work.d[82]*work.L[132]-work.L[252]*work.d[83]*work.L[133]-work.L[253]*work.d[84]*work.L[134]-work.L[254]*work.d[85]*work.L[135]-work.L[255]*work.d[86]*work.L[136]-work.L[256]*work.d[87]*work.L[137]-work.L[257]*work.d[88]*work.L[138]-work.L[258]*work.d[89]*work.L[139]-work.L[259]*work.d[90]*work.L[140]-work.L[260]*work.d[91]*work.L[141]-work.L[261]*work.d[92]*1-work.L[249]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[353]-work.L[271]*work.d[81]*work.L[131]-work.L[272]*work.d[82]*work.L[132]-work.L[273]*work.d[83]*work.L[133]-work.L[274]*work.d[84]*work.L[134]-work.L[275]*work.d[85]*work.L[135]-work.L[276]*work.d[86]*work.L[136]-work.L[277]*work.d[87]*work.L[137]-work.L[278]*work.d[88]*work.L[138]-work.L[279]*work.d[89]*work.L[139]-work.L[280]*work.d[90]*work.L[140]-work.L[281]*work.d[91]*work.L[141]-work.L[282]*work.d[92]*1-work.L[270]*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[354]-work.L[145]*work.d[81]*work.L[145]-work.L[146]*work.d[82]*work.L[146]-work.L[147]*work.d[83]*work.L[147]-work.L[148]*work.d[84]*work.L[148]-work.L[149]*work.d[85]*work.L[149]-work.L[150]*work.d[86]*work.L[150]-work.L[151]*work.d[87]*work.L[151]-work.L[152]*work.d[88]*work.L[152]-work.L[153]*work.d[89]*work.L[153]-work.L[154]*work.d[90]*work.L[154]-work.L[155]*work.d[91]*work.L[155]-work.L[156]*work.d[92]*work.L[156]-1*work.d[93]*1-work.L[142]*work.d[52]*work.L[142]-work.L[143]*work.d[72]*work.L[143]-work.L[144]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[355]-work.L[160]*work.d[81]*work.L[145]-work.L[161]*work.d[82]*work.L[146]-work.L[162]*work.d[83]*work.L[147]-work.L[163]*work.d[84]*work.L[148]-work.L[164]*work.d[85]*work.L[149]-work.L[165]*work.d[86]*work.L[150]-work.L[166]*work.d[87]*work.L[151]-work.L[167]*work.d[88]*work.L[152]-work.L[168]*work.d[89]*work.L[153]-work.L[169]*work.d[90]*work.L[154]-work.L[170]*work.d[91]*work.L[155]-work.L[171]*work.d[92]*work.L[156]-work.L[172]*work.d[93]*1-work.L[159]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[356]-work.L[176]*work.d[81]*work.L[145]-work.L[177]*work.d[82]*work.L[146]-work.L[178]*work.d[83]*work.L[147]-work.L[179]*work.d[84]*work.L[148]-work.L[180]*work.d[85]*work.L[149]-work.L[181]*work.d[86]*work.L[150]-work.L[182]*work.d[87]*work.L[151]-work.L[183]*work.d[88]*work.L[152]-work.L[184]*work.d[89]*work.L[153]-work.L[185]*work.d[90]*work.L[154]-work.L[186]*work.d[91]*work.L[155]-work.L[187]*work.d[92]*work.L[156]-work.L[188]*work.d[93]*1-work.L[175]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[357]-work.L[193]*work.d[81]*work.L[145]-work.L[194]*work.d[82]*work.L[146]-work.L[195]*work.d[83]*work.L[147]-work.L[196]*work.d[84]*work.L[148]-work.L[197]*work.d[85]*work.L[149]-work.L[198]*work.d[86]*work.L[150]-work.L[199]*work.d[87]*work.L[151]-work.L[200]*work.d[88]*work.L[152]-work.L[201]*work.d[89]*work.L[153]-work.L[202]*work.d[90]*work.L[154]-work.L[203]*work.d[91]*work.L[155]-work.L[204]*work.d[92]*work.L[156]-work.L[205]*work.d[93]*1-work.L[192]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[358]-work.L[211]*work.d[81]*work.L[145]-work.L[212]*work.d[82]*work.L[146]-work.L[213]*work.d[83]*work.L[147]-work.L[214]*work.d[84]*work.L[148]-work.L[215]*work.d[85]*work.L[149]-work.L[216]*work.d[86]*work.L[150]-work.L[217]*work.d[87]*work.L[151]-work.L[218]*work.d[88]*work.L[152]-work.L[219]*work.d[89]*work.L[153]-work.L[220]*work.d[90]*work.L[154]-work.L[221]*work.d[91]*work.L[155]-work.L[222]*work.d[92]*work.L[156]-work.L[223]*work.d[93]*1-work.L[210]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[359]-work.L[230]*work.d[81]*work.L[145]-work.L[231]*work.d[82]*work.L[146]-work.L[232]*work.d[83]*work.L[147]-work.L[233]*work.d[84]*work.L[148]-work.L[234]*work.d[85]*work.L[149]-work.L[235]*work.d[86]*work.L[150]-work.L[236]*work.d[87]*work.L[151]-work.L[237]*work.d[88]*work.L[152]-work.L[238]*work.d[89]*work.L[153]-work.L[239]*work.d[90]*work.L[154]-work.L[240]*work.d[91]*work.L[155]-work.L[241]*work.d[92]*work.L[156]-work.L[242]*work.d[93]*1-work.L[229]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[360]-work.L[250]*work.d[81]*work.L[145]-work.L[251]*work.d[82]*work.L[146]-work.L[252]*work.d[83]*work.L[147]-work.L[253]*work.d[84]*work.L[148]-work.L[254]*work.d[85]*work.L[149]-work.L[255]*work.d[86]*work.L[150]-work.L[256]*work.d[87]*work.L[151]-work.L[257]*work.d[88]*work.L[152]-work.L[258]*work.d[89]*work.L[153]-work.L[259]*work.d[90]*work.L[154]-work.L[260]*work.d[91]*work.L[155]-work.L[261]*work.d[92]*work.L[156]-work.L[262]*work.d[93]*1-work.L[249]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[361]-work.L[271]*work.d[81]*work.L[145]-work.L[272]*work.d[82]*work.L[146]-work.L[273]*work.d[83]*work.L[147]-work.L[274]*work.d[84]*work.L[148]-work.L[275]*work.d[85]*work.L[149]-work.L[276]*work.d[86]*work.L[150]-work.L[277]*work.d[87]*work.L[151]-work.L[278]*work.d[88]*work.L[152]-work.L[279]*work.d[89]*work.L[153]-work.L[280]*work.d[90]*work.L[154]-work.L[281]*work.d[91]*work.L[155]-work.L[282]*work.d[92]*work.L[156]-work.L[283]*work.d[93]*1-work.L[270]*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[362]-work.L[160]*work.d[81]*work.L[160]-work.L[161]*work.d[82]*work.L[161]-work.L[162]*work.d[83]*work.L[162]-work.L[163]*work.d[84]*work.L[163]-work.L[164]*work.d[85]*work.L[164]-work.L[165]*work.d[86]*work.L[165]-work.L[166]*work.d[87]*work.L[166]-work.L[167]*work.d[88]*work.L[167]-work.L[168]*work.d[89]*work.L[168]-work.L[169]*work.d[90]*work.L[169]-work.L[170]*work.d[91]*work.L[170]-work.L[171]*work.d[92]*work.L[171]-work.L[172]*work.d[93]*work.L[172]-1*work.d[94]*1-work.L[157]*work.d[53]*work.L[157]-work.L[158]*work.d[73]*work.L[158]-work.L[159]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[363]-work.L[176]*work.d[81]*work.L[160]-work.L[177]*work.d[82]*work.L[161]-work.L[178]*work.d[83]*work.L[162]-work.L[179]*work.d[84]*work.L[163]-work.L[180]*work.d[85]*work.L[164]-work.L[181]*work.d[86]*work.L[165]-work.L[182]*work.d[87]*work.L[166]-work.L[183]*work.d[88]*work.L[167]-work.L[184]*work.d[89]*work.L[168]-work.L[185]*work.d[90]*work.L[169]-work.L[186]*work.d[91]*work.L[170]-work.L[187]*work.d[92]*work.L[171]-work.L[188]*work.d[93]*work.L[172]-work.L[189]*work.d[94]*1-work.L[175]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[364]-work.L[193]*work.d[81]*work.L[160]-work.L[194]*work.d[82]*work.L[161]-work.L[195]*work.d[83]*work.L[162]-work.L[196]*work.d[84]*work.L[163]-work.L[197]*work.d[85]*work.L[164]-work.L[198]*work.d[86]*work.L[165]-work.L[199]*work.d[87]*work.L[166]-work.L[200]*work.d[88]*work.L[167]-work.L[201]*work.d[89]*work.L[168]-work.L[202]*work.d[90]*work.L[169]-work.L[203]*work.d[91]*work.L[170]-work.L[204]*work.d[92]*work.L[171]-work.L[205]*work.d[93]*work.L[172]-work.L[206]*work.d[94]*1-work.L[192]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[365]-work.L[211]*work.d[81]*work.L[160]-work.L[212]*work.d[82]*work.L[161]-work.L[213]*work.d[83]*work.L[162]-work.L[214]*work.d[84]*work.L[163]-work.L[215]*work.d[85]*work.L[164]-work.L[216]*work.d[86]*work.L[165]-work.L[217]*work.d[87]*work.L[166]-work.L[218]*work.d[88]*work.L[167]-work.L[219]*work.d[89]*work.L[168]-work.L[220]*work.d[90]*work.L[169]-work.L[221]*work.d[91]*work.L[170]-work.L[222]*work.d[92]*work.L[171]-work.L[223]*work.d[93]*work.L[172]-work.L[224]*work.d[94]*1-work.L[210]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[366]-work.L[230]*work.d[81]*work.L[160]-work.L[231]*work.d[82]*work.L[161]-work.L[232]*work.d[83]*work.L[162]-work.L[233]*work.d[84]*work.L[163]-work.L[234]*work.d[85]*work.L[164]-work.L[235]*work.d[86]*work.L[165]-work.L[236]*work.d[87]*work.L[166]-work.L[237]*work.d[88]*work.L[167]-work.L[238]*work.d[89]*work.L[168]-work.L[239]*work.d[90]*work.L[169]-work.L[240]*work.d[91]*work.L[170]-work.L[241]*work.d[92]*work.L[171]-work.L[242]*work.d[93]*work.L[172]-work.L[243]*work.d[94]*1-work.L[229]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[367]-work.L[250]*work.d[81]*work.L[160]-work.L[251]*work.d[82]*work.L[161]-work.L[252]*work.d[83]*work.L[162]-work.L[253]*work.d[84]*work.L[163]-work.L[254]*work.d[85]*work.L[164]-work.L[255]*work.d[86]*work.L[165]-work.L[256]*work.d[87]*work.L[166]-work.L[257]*work.d[88]*work.L[167]-work.L[258]*work.d[89]*work.L[168]-work.L[259]*work.d[90]*work.L[169]-work.L[260]*work.d[91]*work.L[170]-work.L[261]*work.d[92]*work.L[171]-work.L[262]*work.d[93]*work.L[172]-work.L[263]*work.d[94]*1-work.L[249]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[368]-work.L[271]*work.d[81]*work.L[160]-work.L[272]*work.d[82]*work.L[161]-work.L[273]*work.d[83]*work.L[162]-work.L[274]*work.d[84]*work.L[163]-work.L[275]*work.d[85]*work.L[164]-work.L[276]*work.d[86]*work.L[165]-work.L[277]*work.d[87]*work.L[166]-work.L[278]*work.d[88]*work.L[167]-work.L[279]*work.d[89]*work.L[168]-work.L[280]*work.d[90]*work.L[169]-work.L[281]*work.d[91]*work.L[170]-work.L[282]*work.d[92]*work.L[171]-work.L[283]*work.d[93]*work.L[172]-work.L[284]*work.d[94]*1-work.L[270]*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[369]-work.L[176]*work.d[81]*work.L[176]-work.L[177]*work.d[82]*work.L[177]-work.L[178]*work.d[83]*work.L[178]-work.L[179]*work.d[84]*work.L[179]-work.L[180]*work.d[85]*work.L[180]-work.L[181]*work.d[86]*work.L[181]-work.L[182]*work.d[87]*work.L[182]-work.L[183]*work.d[88]*work.L[183]-work.L[184]*work.d[89]*work.L[184]-work.L[185]*work.d[90]*work.L[185]-work.L[186]*work.d[91]*work.L[186]-work.L[187]*work.d[92]*work.L[187]-work.L[188]*work.d[93]*work.L[188]-work.L[189]*work.d[94]*work.L[189]-1*work.d[95]*1-work.L[173]*work.d[54]*work.L[173]-work.L[174]*work.d[74]*work.L[174]-work.L[175]*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[370]-work.L[193]*work.d[81]*work.L[176]-work.L[194]*work.d[82]*work.L[177]-work.L[195]*work.d[83]*work.L[178]-work.L[196]*work.d[84]*work.L[179]-work.L[197]*work.d[85]*work.L[180]-work.L[198]*work.d[86]*work.L[181]-work.L[199]*work.d[87]*work.L[182]-work.L[200]*work.d[88]*work.L[183]-work.L[201]*work.d[89]*work.L[184]-work.L[202]*work.d[90]*work.L[185]-work.L[203]*work.d[91]*work.L[186]-work.L[204]*work.d[92]*work.L[187]-work.L[205]*work.d[93]*work.L[188]-work.L[206]*work.d[94]*work.L[189]-work.L[207]*work.d[95]*1-work.L[192]*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[371]-work.L[211]*work.d[81]*work.L[176]-work.L[212]*work.d[82]*work.L[177]-work.L[213]*work.d[83]*work.L[178]-work.L[214]*work.d[84]*work.L[179]-work.L[215]*work.d[85]*work.L[180]-work.L[216]*work.d[86]*work.L[181]-work.L[217]*work.d[87]*work.L[182]-work.L[218]*work.d[88]*work.L[183]-work.L[219]*work.d[89]*work.L[184]-work.L[220]*work.d[90]*work.L[185]-work.L[221]*work.d[91]*work.L[186]-work.L[222]*work.d[92]*work.L[187]-work.L[223]*work.d[93]*work.L[188]-work.L[224]*work.d[94]*work.L[189]-work.L[225]*work.d[95]*1-work.L[210]*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[372]-work.L[230]*work.d[81]*work.L[176]-work.L[231]*work.d[82]*work.L[177]-work.L[232]*work.d[83]*work.L[178]-work.L[233]*work.d[84]*work.L[179]-work.L[234]*work.d[85]*work.L[180]-work.L[235]*work.d[86]*work.L[181]-work.L[236]*work.d[87]*work.L[182]-work.L[237]*work.d[88]*work.L[183]-work.L[238]*work.d[89]*work.L[184]-work.L[239]*work.d[90]*work.L[185]-work.L[240]*work.d[91]*work.L[186]-work.L[241]*work.d[92]*work.L[187]-work.L[242]*work.d[93]*work.L[188]-work.L[243]*work.d[94]*work.L[189]-work.L[244]*work.d[95]*1-work.L[229]*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[373]-work.L[250]*work.d[81]*work.L[176]-work.L[251]*work.d[82]*work.L[177]-work.L[252]*work.d[83]*work.L[178]-work.L[253]*work.d[84]*work.L[179]-work.L[254]*work.d[85]*work.L[180]-work.L[255]*work.d[86]*work.L[181]-work.L[256]*work.d[87]*work.L[182]-work.L[257]*work.d[88]*work.L[183]-work.L[258]*work.d[89]*work.L[184]-work.L[259]*work.d[90]*work.L[185]-work.L[260]*work.d[91]*work.L[186]-work.L[261]*work.d[92]*work.L[187]-work.L[262]*work.d[93]*work.L[188]-work.L[263]*work.d[94]*work.L[189]-work.L[264]*work.d[95]*1-work.L[249]*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[374]-work.L[271]*work.d[81]*work.L[176]-work.L[272]*work.d[82]*work.L[177]-work.L[273]*work.d[83]*work.L[178]-work.L[274]*work.d[84]*work.L[179]-work.L[275]*work.d[85]*work.L[180]-work.L[276]*work.d[86]*work.L[181]-work.L[277]*work.d[87]*work.L[182]-work.L[278]*work.d[88]*work.L[183]-work.L[279]*work.d[89]*work.L[184]-work.L[280]*work.d[90]*work.L[185]-work.L[281]*work.d[91]*work.L[186]-work.L[282]*work.d[92]*work.L[187]-work.L[283]*work.d[93]*work.L[188]-work.L[284]*work.d[94]*work.L[189]-work.L[285]*work.d[95]*1-work.L[270]*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[375]-work.L[193]*work.d[81]*work.L[193]-work.L[194]*work.d[82]*work.L[194]-work.L[195]*work.d[83]*work.L[195]-work.L[196]*work.d[84]*work.L[196]-work.L[197]*work.d[85]*work.L[197]-work.L[198]*work.d[86]*work.L[198]-work.L[199]*work.d[87]*work.L[199]-work.L[200]*work.d[88]*work.L[200]-work.L[201]*work.d[89]*work.L[201]-work.L[202]*work.d[90]*work.L[202]-work.L[203]*work.d[91]*work.L[203]-work.L[204]*work.d[92]*work.L[204]-work.L[205]*work.d[93]*work.L[205]-work.L[206]*work.d[94]*work.L[206]-work.L[207]*work.d[95]*work.L[207]-1*work.d[96]*1-work.L[190]*work.d[55]*work.L[190]-work.L[191]*work.d[75]*work.L[191]-work.L[192]*work.d[80]*work.L[192];
residual += temp*temp;
temp = work.KKT[376]-work.L[211]*work.d[81]*work.L[193]-work.L[212]*work.d[82]*work.L[194]-work.L[213]*work.d[83]*work.L[195]-work.L[214]*work.d[84]*work.L[196]-work.L[215]*work.d[85]*work.L[197]-work.L[216]*work.d[86]*work.L[198]-work.L[217]*work.d[87]*work.L[199]-work.L[218]*work.d[88]*work.L[200]-work.L[219]*work.d[89]*work.L[201]-work.L[220]*work.d[90]*work.L[202]-work.L[221]*work.d[91]*work.L[203]-work.L[222]*work.d[92]*work.L[204]-work.L[223]*work.d[93]*work.L[205]-work.L[224]*work.d[94]*work.L[206]-work.L[225]*work.d[95]*work.L[207]-work.L[226]*work.d[96]*1-work.L[210]*work.d[80]*work.L[192];
residual += temp*temp;
temp = work.KKT[377]-work.L[230]*work.d[81]*work.L[193]-work.L[231]*work.d[82]*work.L[194]-work.L[232]*work.d[83]*work.L[195]-work.L[233]*work.d[84]*work.L[196]-work.L[234]*work.d[85]*work.L[197]-work.L[235]*work.d[86]*work.L[198]-work.L[236]*work.d[87]*work.L[199]-work.L[237]*work.d[88]*work.L[200]-work.L[238]*work.d[89]*work.L[201]-work.L[239]*work.d[90]*work.L[202]-work.L[240]*work.d[91]*work.L[203]-work.L[241]*work.d[92]*work.L[204]-work.L[242]*work.d[93]*work.L[205]-work.L[243]*work.d[94]*work.L[206]-work.L[244]*work.d[95]*work.L[207]-work.L[245]*work.d[96]*1-work.L[229]*work.d[80]*work.L[192];
residual += temp*temp;
temp = work.KKT[378]-work.L[250]*work.d[81]*work.L[193]-work.L[251]*work.d[82]*work.L[194]-work.L[252]*work.d[83]*work.L[195]-work.L[253]*work.d[84]*work.L[196]-work.L[254]*work.d[85]*work.L[197]-work.L[255]*work.d[86]*work.L[198]-work.L[256]*work.d[87]*work.L[199]-work.L[257]*work.d[88]*work.L[200]-work.L[258]*work.d[89]*work.L[201]-work.L[259]*work.d[90]*work.L[202]-work.L[260]*work.d[91]*work.L[203]-work.L[261]*work.d[92]*work.L[204]-work.L[262]*work.d[93]*work.L[205]-work.L[263]*work.d[94]*work.L[206]-work.L[264]*work.d[95]*work.L[207]-work.L[265]*work.d[96]*1-work.L[249]*work.d[80]*work.L[192];
residual += temp*temp;
temp = work.KKT[379]-work.L[271]*work.d[81]*work.L[193]-work.L[272]*work.d[82]*work.L[194]-work.L[273]*work.d[83]*work.L[195]-work.L[274]*work.d[84]*work.L[196]-work.L[275]*work.d[85]*work.L[197]-work.L[276]*work.d[86]*work.L[198]-work.L[277]*work.d[87]*work.L[199]-work.L[278]*work.d[88]*work.L[200]-work.L[279]*work.d[89]*work.L[201]-work.L[280]*work.d[90]*work.L[202]-work.L[281]*work.d[91]*work.L[203]-work.L[282]*work.d[92]*work.L[204]-work.L[283]*work.d[93]*work.L[205]-work.L[284]*work.d[94]*work.L[206]-work.L[285]*work.d[95]*work.L[207]-work.L[286]*work.d[96]*1-work.L[270]*work.d[80]*work.L[192];
residual += temp*temp;
temp = work.KKT[380]-work.L[211]*work.d[81]*work.L[211]-work.L[212]*work.d[82]*work.L[212]-work.L[213]*work.d[83]*work.L[213]-work.L[214]*work.d[84]*work.L[214]-work.L[215]*work.d[85]*work.L[215]-work.L[216]*work.d[86]*work.L[216]-work.L[217]*work.d[87]*work.L[217]-work.L[218]*work.d[88]*work.L[218]-work.L[219]*work.d[89]*work.L[219]-work.L[220]*work.d[90]*work.L[220]-work.L[221]*work.d[91]*work.L[221]-work.L[222]*work.d[92]*work.L[222]-work.L[223]*work.d[93]*work.L[223]-work.L[224]*work.d[94]*work.L[224]-work.L[225]*work.d[95]*work.L[225]-work.L[226]*work.d[96]*work.L[226]-1*work.d[97]*1-work.L[208]*work.d[56]*work.L[208]-work.L[209]*work.d[76]*work.L[209]-work.L[210]*work.d[80]*work.L[210];
residual += temp*temp;
temp = work.KKT[381]-work.L[230]*work.d[81]*work.L[211]-work.L[231]*work.d[82]*work.L[212]-work.L[232]*work.d[83]*work.L[213]-work.L[233]*work.d[84]*work.L[214]-work.L[234]*work.d[85]*work.L[215]-work.L[235]*work.d[86]*work.L[216]-work.L[236]*work.d[87]*work.L[217]-work.L[237]*work.d[88]*work.L[218]-work.L[238]*work.d[89]*work.L[219]-work.L[239]*work.d[90]*work.L[220]-work.L[240]*work.d[91]*work.L[221]-work.L[241]*work.d[92]*work.L[222]-work.L[242]*work.d[93]*work.L[223]-work.L[243]*work.d[94]*work.L[224]-work.L[244]*work.d[95]*work.L[225]-work.L[245]*work.d[96]*work.L[226]-work.L[246]*work.d[97]*1-work.L[229]*work.d[80]*work.L[210];
residual += temp*temp;
temp = work.KKT[382]-work.L[250]*work.d[81]*work.L[211]-work.L[251]*work.d[82]*work.L[212]-work.L[252]*work.d[83]*work.L[213]-work.L[253]*work.d[84]*work.L[214]-work.L[254]*work.d[85]*work.L[215]-work.L[255]*work.d[86]*work.L[216]-work.L[256]*work.d[87]*work.L[217]-work.L[257]*work.d[88]*work.L[218]-work.L[258]*work.d[89]*work.L[219]-work.L[259]*work.d[90]*work.L[220]-work.L[260]*work.d[91]*work.L[221]-work.L[261]*work.d[92]*work.L[222]-work.L[262]*work.d[93]*work.L[223]-work.L[263]*work.d[94]*work.L[224]-work.L[264]*work.d[95]*work.L[225]-work.L[265]*work.d[96]*work.L[226]-work.L[266]*work.d[97]*1-work.L[249]*work.d[80]*work.L[210];
residual += temp*temp;
temp = work.KKT[383]-work.L[271]*work.d[81]*work.L[211]-work.L[272]*work.d[82]*work.L[212]-work.L[273]*work.d[83]*work.L[213]-work.L[274]*work.d[84]*work.L[214]-work.L[275]*work.d[85]*work.L[215]-work.L[276]*work.d[86]*work.L[216]-work.L[277]*work.d[87]*work.L[217]-work.L[278]*work.d[88]*work.L[218]-work.L[279]*work.d[89]*work.L[219]-work.L[280]*work.d[90]*work.L[220]-work.L[281]*work.d[91]*work.L[221]-work.L[282]*work.d[92]*work.L[222]-work.L[283]*work.d[93]*work.L[223]-work.L[284]*work.d[94]*work.L[224]-work.L[285]*work.d[95]*work.L[225]-work.L[286]*work.d[96]*work.L[226]-work.L[287]*work.d[97]*1-work.L[270]*work.d[80]*work.L[210];
residual += temp*temp;
temp = work.KKT[384]-work.L[230]*work.d[81]*work.L[230]-work.L[231]*work.d[82]*work.L[231]-work.L[232]*work.d[83]*work.L[232]-work.L[233]*work.d[84]*work.L[233]-work.L[234]*work.d[85]*work.L[234]-work.L[235]*work.d[86]*work.L[235]-work.L[236]*work.d[87]*work.L[236]-work.L[237]*work.d[88]*work.L[237]-work.L[238]*work.d[89]*work.L[238]-work.L[239]*work.d[90]*work.L[239]-work.L[240]*work.d[91]*work.L[240]-work.L[241]*work.d[92]*work.L[241]-work.L[242]*work.d[93]*work.L[242]-work.L[243]*work.d[94]*work.L[243]-work.L[244]*work.d[95]*work.L[244]-work.L[245]*work.d[96]*work.L[245]-work.L[246]*work.d[97]*work.L[246]-1*work.d[98]*1-work.L[227]*work.d[57]*work.L[227]-work.L[228]*work.d[77]*work.L[228]-work.L[229]*work.d[80]*work.L[229];
residual += temp*temp;
temp = work.KKT[385]-work.L[250]*work.d[81]*work.L[230]-work.L[251]*work.d[82]*work.L[231]-work.L[252]*work.d[83]*work.L[232]-work.L[253]*work.d[84]*work.L[233]-work.L[254]*work.d[85]*work.L[234]-work.L[255]*work.d[86]*work.L[235]-work.L[256]*work.d[87]*work.L[236]-work.L[257]*work.d[88]*work.L[237]-work.L[258]*work.d[89]*work.L[238]-work.L[259]*work.d[90]*work.L[239]-work.L[260]*work.d[91]*work.L[240]-work.L[261]*work.d[92]*work.L[241]-work.L[262]*work.d[93]*work.L[242]-work.L[263]*work.d[94]*work.L[243]-work.L[264]*work.d[95]*work.L[244]-work.L[265]*work.d[96]*work.L[245]-work.L[266]*work.d[97]*work.L[246]-work.L[267]*work.d[98]*1-work.L[249]*work.d[80]*work.L[229];
residual += temp*temp;
temp = work.KKT[386]-work.L[271]*work.d[81]*work.L[230]-work.L[272]*work.d[82]*work.L[231]-work.L[273]*work.d[83]*work.L[232]-work.L[274]*work.d[84]*work.L[233]-work.L[275]*work.d[85]*work.L[234]-work.L[276]*work.d[86]*work.L[235]-work.L[277]*work.d[87]*work.L[236]-work.L[278]*work.d[88]*work.L[237]-work.L[279]*work.d[89]*work.L[238]-work.L[280]*work.d[90]*work.L[239]-work.L[281]*work.d[91]*work.L[240]-work.L[282]*work.d[92]*work.L[241]-work.L[283]*work.d[93]*work.L[242]-work.L[284]*work.d[94]*work.L[243]-work.L[285]*work.d[95]*work.L[244]-work.L[286]*work.d[96]*work.L[245]-work.L[287]*work.d[97]*work.L[246]-work.L[288]*work.d[98]*1-work.L[270]*work.d[80]*work.L[229];
residual += temp*temp;
temp = work.KKT[387]-work.L[250]*work.d[81]*work.L[250]-work.L[251]*work.d[82]*work.L[251]-work.L[252]*work.d[83]*work.L[252]-work.L[253]*work.d[84]*work.L[253]-work.L[254]*work.d[85]*work.L[254]-work.L[255]*work.d[86]*work.L[255]-work.L[256]*work.d[87]*work.L[256]-work.L[257]*work.d[88]*work.L[257]-work.L[258]*work.d[89]*work.L[258]-work.L[259]*work.d[90]*work.L[259]-work.L[260]*work.d[91]*work.L[260]-work.L[261]*work.d[92]*work.L[261]-work.L[262]*work.d[93]*work.L[262]-work.L[263]*work.d[94]*work.L[263]-work.L[264]*work.d[95]*work.L[264]-work.L[265]*work.d[96]*work.L[265]-work.L[266]*work.d[97]*work.L[266]-work.L[267]*work.d[98]*work.L[267]-1*work.d[99]*1-work.L[247]*work.d[58]*work.L[247]-work.L[248]*work.d[78]*work.L[248]-work.L[249]*work.d[80]*work.L[249];
residual += temp*temp;
temp = work.KKT[388]-work.L[271]*work.d[81]*work.L[250]-work.L[272]*work.d[82]*work.L[251]-work.L[273]*work.d[83]*work.L[252]-work.L[274]*work.d[84]*work.L[253]-work.L[275]*work.d[85]*work.L[254]-work.L[276]*work.d[86]*work.L[255]-work.L[277]*work.d[87]*work.L[256]-work.L[278]*work.d[88]*work.L[257]-work.L[279]*work.d[89]*work.L[258]-work.L[280]*work.d[90]*work.L[259]-work.L[281]*work.d[91]*work.L[260]-work.L[282]*work.d[92]*work.L[261]-work.L[283]*work.d[93]*work.L[262]-work.L[284]*work.d[94]*work.L[263]-work.L[285]*work.d[95]*work.L[264]-work.L[286]*work.d[96]*work.L[265]-work.L[287]*work.d[97]*work.L[266]-work.L[288]*work.d[98]*work.L[267]-work.L[289]*work.d[99]*1-work.L[270]*work.d[80]*work.L[249];
residual += temp*temp;
temp = work.KKT[389]-work.L[271]*work.d[81]*work.L[271]-work.L[272]*work.d[82]*work.L[272]-work.L[273]*work.d[83]*work.L[273]-work.L[274]*work.d[84]*work.L[274]-work.L[275]*work.d[85]*work.L[275]-work.L[276]*work.d[86]*work.L[276]-work.L[277]*work.d[87]*work.L[277]-work.L[278]*work.d[88]*work.L[278]-work.L[279]*work.d[89]*work.L[279]-work.L[280]*work.d[90]*work.L[280]-work.L[281]*work.d[91]*work.L[281]-work.L[282]*work.d[92]*work.L[282]-work.L[283]*work.d[93]*work.L[283]-work.L[284]*work.d[94]*work.L[284]-work.L[285]*work.d[95]*work.L[285]-work.L[286]*work.d[96]*work.L[286]-work.L[287]*work.d[97]*work.L[287]-work.L[288]*work.d[98]*work.L[288]-work.L[289]*work.d[99]*work.L[289]-1*work.d[100]*1-work.L[268]*work.d[59]*work.L[268]-work.L[269]*work.d[79]*work.L[269]-work.L[270]*work.d[80]*work.L[270];
residual += temp*temp;
temp = work.KKT[0]-1*work.d[0]*1;
residual += temp*temp;
temp = work.KKT[2]-1*work.d[1]*1;
residual += temp*temp;
temp = work.KKT[4]-1*work.d[2]*1;
residual += temp*temp;
temp = work.KKT[6]-1*work.d[3]*1;
residual += temp*temp;
temp = work.KKT[8]-1*work.d[4]*1;
residual += temp*temp;
temp = work.KKT[10]-1*work.d[5]*1;
residual += temp*temp;
temp = work.KKT[12]-1*work.d[6]*1;
residual += temp*temp;
temp = work.KKT[14]-1*work.d[7]*1;
residual += temp*temp;
temp = work.KKT[16]-1*work.d[8]*1;
residual += temp*temp;
temp = work.KKT[18]-1*work.d[9]*1;
residual += temp*temp;
temp = work.KKT[20]-1*work.d[10]*1;
residual += temp*temp;
temp = work.KKT[22]-1*work.d[11]*1;
residual += temp*temp;
temp = work.KKT[24]-1*work.d[12]*1;
residual += temp*temp;
temp = work.KKT[26]-1*work.d[13]*1;
residual += temp*temp;
temp = work.KKT[28]-1*work.d[14]*1;
residual += temp*temp;
temp = work.KKT[30]-1*work.d[15]*1;
residual += temp*temp;
temp = work.KKT[32]-1*work.d[16]*1;
residual += temp*temp;
temp = work.KKT[34]-1*work.d[17]*1;
residual += temp*temp;
temp = work.KKT[36]-1*work.d[18]*1;
residual += temp*temp;
temp = work.KKT[38]-1*work.d[19]*1;
residual += temp*temp;
temp = work.KKT[40]-1*work.d[20]*1;
residual += temp*temp;
temp = work.KKT[42]-1*work.d[21]*1;
residual += temp*temp;
temp = work.KKT[44]-1*work.d[22]*1;
residual += temp*temp;
temp = work.KKT[46]-1*work.d[23]*1;
residual += temp*temp;
temp = work.KKT[48]-1*work.d[24]*1;
residual += temp*temp;
temp = work.KKT[50]-1*work.d[25]*1;
residual += temp*temp;
temp = work.KKT[52]-1*work.d[26]*1;
residual += temp*temp;
temp = work.KKT[54]-1*work.d[27]*1;
residual += temp*temp;
temp = work.KKT[56]-1*work.d[28]*1;
residual += temp*temp;
temp = work.KKT[58]-1*work.d[29]*1;
residual += temp*temp;
temp = work.KKT[60]-1*work.d[30]*1;
residual += temp*temp;
temp = work.KKT[62]-1*work.d[31]*1;
residual += temp*temp;
temp = work.KKT[64]-1*work.d[32]*1;
residual += temp*temp;
temp = work.KKT[66]-1*work.d[33]*1;
residual += temp*temp;
temp = work.KKT[68]-1*work.d[34]*1;
residual += temp*temp;
temp = work.KKT[70]-1*work.d[35]*1;
residual += temp*temp;
temp = work.KKT[72]-1*work.d[36]*1;
residual += temp*temp;
temp = work.KKT[74]-1*work.d[37]*1;
residual += temp*temp;
temp = work.KKT[76]-1*work.d[38]*1;
residual += temp*temp;
temp = work.KKT[78]-1*work.d[39]*1;
residual += temp*temp;
temp = work.KKT[1]-work.L[0]*work.d[0]*1;
residual += temp*temp;
temp = work.KKT[3]-work.L[1]*work.d[1]*1;
residual += temp*temp;
temp = work.KKT[5]-work.L[2]*work.d[2]*1;
residual += temp*temp;
temp = work.KKT[7]-work.L[3]*work.d[3]*1;
residual += temp*temp;
temp = work.KKT[9]-work.L[4]*work.d[4]*1;
residual += temp*temp;
temp = work.KKT[11]-work.L[5]*work.d[5]*1;
residual += temp*temp;
temp = work.KKT[13]-work.L[6]*work.d[6]*1;
residual += temp*temp;
temp = work.KKT[15]-work.L[7]*work.d[7]*1;
residual += temp*temp;
temp = work.KKT[17]-work.L[8]*work.d[8]*1;
residual += temp*temp;
temp = work.KKT[19]-work.L[9]*work.d[9]*1;
residual += temp*temp;
temp = work.KKT[21]-work.L[10]*work.d[10]*1;
residual += temp*temp;
temp = work.KKT[23]-work.L[11]*work.d[11]*1;
residual += temp*temp;
temp = work.KKT[25]-work.L[12]*work.d[12]*1;
residual += temp*temp;
temp = work.KKT[27]-work.L[13]*work.d[13]*1;
residual += temp*temp;
temp = work.KKT[29]-work.L[14]*work.d[14]*1;
residual += temp*temp;
temp = work.KKT[31]-work.L[15]*work.d[15]*1;
residual += temp*temp;
temp = work.KKT[33]-work.L[16]*work.d[16]*1;
residual += temp*temp;
temp = work.KKT[35]-work.L[17]*work.d[17]*1;
residual += temp*temp;
temp = work.KKT[37]-work.L[18]*work.d[18]*1;
residual += temp*temp;
temp = work.KKT[39]-work.L[19]*work.d[19]*1;
residual += temp*temp;
temp = work.KKT[41]-work.L[20]*work.d[20]*1;
residual += temp*temp;
temp = work.KKT[43]-work.L[21]*work.d[21]*1;
residual += temp*temp;
temp = work.KKT[45]-work.L[22]*work.d[22]*1;
residual += temp*temp;
temp = work.KKT[47]-work.L[23]*work.d[23]*1;
residual += temp*temp;
temp = work.KKT[49]-work.L[24]*work.d[24]*1;
residual += temp*temp;
temp = work.KKT[51]-work.L[25]*work.d[25]*1;
residual += temp*temp;
temp = work.KKT[53]-work.L[26]*work.d[26]*1;
residual += temp*temp;
temp = work.KKT[55]-work.L[27]*work.d[27]*1;
residual += temp*temp;
temp = work.KKT[57]-work.L[28]*work.d[28]*1;
residual += temp*temp;
temp = work.KKT[59]-work.L[29]*work.d[29]*1;
residual += temp*temp;
temp = work.KKT[61]-work.L[30]*work.d[30]*1;
residual += temp*temp;
temp = work.KKT[63]-work.L[31]*work.d[31]*1;
residual += temp*temp;
temp = work.KKT[65]-work.L[32]*work.d[32]*1;
residual += temp*temp;
temp = work.KKT[67]-work.L[33]*work.d[33]*1;
residual += temp*temp;
temp = work.KKT[69]-work.L[34]*work.d[34]*1;
residual += temp*temp;
temp = work.KKT[71]-work.L[35]*work.d[35]*1;
residual += temp*temp;
temp = work.KKT[73]-work.L[36]*work.d[36]*1;
residual += temp*temp;
temp = work.KKT[75]-work.L[37]*work.d[37]*1;
residual += temp*temp;
temp = work.KKT[77]-work.L[38]*work.d[38]*1;
residual += temp*temp;
temp = work.KKT[79]-work.L[39]*work.d[39]*1;
residual += temp*temp;
temp = work.KKT[80]-work.L[0]*work.d[0]*work.L[0]-1*work.d[40]*1;
residual += temp*temp;
temp = work.KKT[82]-work.L[1]*work.d[1]*work.L[1]-1*work.d[41]*1;
residual += temp*temp;
temp = work.KKT[84]-work.L[2]*work.d[2]*work.L[2]-1*work.d[42]*1;
residual += temp*temp;
temp = work.KKT[86]-work.L[3]*work.d[3]*work.L[3]-1*work.d[43]*1;
residual += temp*temp;
temp = work.KKT[88]-work.L[4]*work.d[4]*work.L[4]-1*work.d[44]*1;
residual += temp*temp;
temp = work.KKT[90]-work.L[5]*work.d[5]*work.L[5]-1*work.d[45]*1;
residual += temp*temp;
temp = work.KKT[92]-work.L[6]*work.d[6]*work.L[6]-1*work.d[46]*1;
residual += temp*temp;
temp = work.KKT[94]-work.L[7]*work.d[7]*work.L[7]-1*work.d[47]*1;
residual += temp*temp;
temp = work.KKT[96]-work.L[8]*work.d[8]*work.L[8]-1*work.d[48]*1;
residual += temp*temp;
temp = work.KKT[98]-work.L[9]*work.d[9]*work.L[9]-1*work.d[49]*1;
residual += temp*temp;
temp = work.KKT[100]-work.L[10]*work.d[10]*work.L[10]-1*work.d[50]*1;
residual += temp*temp;
temp = work.KKT[102]-work.L[11]*work.d[11]*work.L[11]-1*work.d[51]*1;
residual += temp*temp;
temp = work.KKT[104]-work.L[12]*work.d[12]*work.L[12]-1*work.d[52]*1;
residual += temp*temp;
temp = work.KKT[106]-work.L[13]*work.d[13]*work.L[13]-1*work.d[53]*1;
residual += temp*temp;
temp = work.KKT[108]-work.L[14]*work.d[14]*work.L[14]-1*work.d[54]*1;
residual += temp*temp;
temp = work.KKT[110]-work.L[15]*work.d[15]*work.L[15]-1*work.d[55]*1;
residual += temp*temp;
temp = work.KKT[112]-work.L[16]*work.d[16]*work.L[16]-1*work.d[56]*1;
residual += temp*temp;
temp = work.KKT[114]-work.L[17]*work.d[17]*work.L[17]-1*work.d[57]*1;
residual += temp*temp;
temp = work.KKT[116]-work.L[18]*work.d[18]*work.L[18]-1*work.d[58]*1;
residual += temp*temp;
temp = work.KKT[118]-work.L[19]*work.d[19]*work.L[19]-1*work.d[59]*1;
residual += temp*temp;
temp = work.KKT[120]-work.L[20]*work.d[20]*work.L[20]-1*work.d[60]*1;
residual += temp*temp;
temp = work.KKT[122]-work.L[21]*work.d[21]*work.L[21]-1*work.d[61]*1;
residual += temp*temp;
temp = work.KKT[124]-work.L[22]*work.d[22]*work.L[22]-1*work.d[62]*1;
residual += temp*temp;
temp = work.KKT[126]-work.L[23]*work.d[23]*work.L[23]-1*work.d[63]*1;
residual += temp*temp;
temp = work.KKT[128]-work.L[24]*work.d[24]*work.L[24]-1*work.d[64]*1;
residual += temp*temp;
temp = work.KKT[130]-work.L[25]*work.d[25]*work.L[25]-1*work.d[65]*1;
residual += temp*temp;
temp = work.KKT[132]-work.L[26]*work.d[26]*work.L[26]-1*work.d[66]*1;
residual += temp*temp;
temp = work.KKT[134]-work.L[27]*work.d[27]*work.L[27]-1*work.d[67]*1;
residual += temp*temp;
temp = work.KKT[136]-work.L[28]*work.d[28]*work.L[28]-1*work.d[68]*1;
residual += temp*temp;
temp = work.KKT[138]-work.L[29]*work.d[29]*work.L[29]-1*work.d[69]*1;
residual += temp*temp;
temp = work.KKT[140]-work.L[30]*work.d[30]*work.L[30]-1*work.d[70]*1;
residual += temp*temp;
temp = work.KKT[142]-work.L[31]*work.d[31]*work.L[31]-1*work.d[71]*1;
residual += temp*temp;
temp = work.KKT[144]-work.L[32]*work.d[32]*work.L[32]-1*work.d[72]*1;
residual += temp*temp;
temp = work.KKT[146]-work.L[33]*work.d[33]*work.L[33]-1*work.d[73]*1;
residual += temp*temp;
temp = work.KKT[148]-work.L[34]*work.d[34]*work.L[34]-1*work.d[74]*1;
residual += temp*temp;
temp = work.KKT[150]-work.L[35]*work.d[35]*work.L[35]-1*work.d[75]*1;
residual += temp*temp;
temp = work.KKT[152]-work.L[36]*work.d[36]*work.L[36]-1*work.d[76]*1;
residual += temp*temp;
temp = work.KKT[154]-work.L[37]*work.d[37]*work.L[37]-1*work.d[77]*1;
residual += temp*temp;
temp = work.KKT[156]-work.L[38]*work.d[38]*work.L[38]-1*work.d[78]*1;
residual += temp*temp;
temp = work.KKT[158]-work.L[39]*work.d[39]*work.L[39]-1*work.d[79]*1;
residual += temp*temp;
temp = work.KKT[81]-1*work.d[40]*work.L[40];
residual += temp*temp;
temp = work.KKT[83]-1*work.d[41]*work.L[43];
residual += temp*temp;
temp = work.KKT[85]-1*work.d[42]*work.L[47];
residual += temp*temp;
temp = work.KKT[87]-1*work.d[43]*work.L[52];
residual += temp*temp;
temp = work.KKT[89]-1*work.d[44]*work.L[58];
residual += temp*temp;
temp = work.KKT[91]-1*work.d[45]*work.L[65];
residual += temp*temp;
temp = work.KKT[93]-1*work.d[46]*work.L[73];
residual += temp*temp;
temp = work.KKT[95]-1*work.d[47]*work.L[82];
residual += temp*temp;
temp = work.KKT[97]-1*work.d[48]*work.L[92];
residual += temp*temp;
temp = work.KKT[99]-1*work.d[49]*work.L[103];
residual += temp*temp;
temp = work.KKT[101]-1*work.d[50]*work.L[115];
residual += temp*temp;
temp = work.KKT[103]-1*work.d[51]*work.L[128];
residual += temp*temp;
temp = work.KKT[105]-1*work.d[52]*work.L[142];
residual += temp*temp;
temp = work.KKT[107]-1*work.d[53]*work.L[157];
residual += temp*temp;
temp = work.KKT[109]-1*work.d[54]*work.L[173];
residual += temp*temp;
temp = work.KKT[111]-1*work.d[55]*work.L[190];
residual += temp*temp;
temp = work.KKT[113]-1*work.d[56]*work.L[208];
residual += temp*temp;
temp = work.KKT[115]-1*work.d[57]*work.L[227];
residual += temp*temp;
temp = work.KKT[117]-1*work.d[58]*work.L[247];
residual += temp*temp;
temp = work.KKT[119]-1*work.d[59]*work.L[268];
residual += temp*temp;
temp = work.KKT[121]-1*work.d[60]*work.L[41];
residual += temp*temp;
temp = work.KKT[123]-1*work.d[61]*work.L[44];
residual += temp*temp;
temp = work.KKT[125]-1*work.d[62]*work.L[48];
residual += temp*temp;
temp = work.KKT[127]-1*work.d[63]*work.L[53];
residual += temp*temp;
temp = work.KKT[129]-1*work.d[64]*work.L[59];
residual += temp*temp;
temp = work.KKT[131]-1*work.d[65]*work.L[66];
residual += temp*temp;
temp = work.KKT[133]-1*work.d[66]*work.L[74];
residual += temp*temp;
temp = work.KKT[135]-1*work.d[67]*work.L[83];
residual += temp*temp;
temp = work.KKT[137]-1*work.d[68]*work.L[93];
residual += temp*temp;
temp = work.KKT[139]-1*work.d[69]*work.L[104];
residual += temp*temp;
temp = work.KKT[141]-1*work.d[70]*work.L[116];
residual += temp*temp;
temp = work.KKT[143]-1*work.d[71]*work.L[129];
residual += temp*temp;
temp = work.KKT[145]-1*work.d[72]*work.L[143];
residual += temp*temp;
temp = work.KKT[147]-1*work.d[73]*work.L[158];
residual += temp*temp;
temp = work.KKT[149]-1*work.d[74]*work.L[174];
residual += temp*temp;
temp = work.KKT[151]-1*work.d[75]*work.L[191];
residual += temp*temp;
temp = work.KKT[153]-1*work.d[76]*work.L[209];
residual += temp*temp;
temp = work.KKT[155]-1*work.d[77]*work.L[228];
residual += temp*temp;
temp = work.KKT[157]-1*work.d[78]*work.L[248];
residual += temp*temp;
temp = work.KKT[159]-1*work.d[79]*work.L[269];
residual += temp*temp;
temp = work.KKT[160]-1*work.d[80]*work.L[42];
residual += temp*temp;
temp = work.KKT[161]-1*work.d[80]*work.L[45];
residual += temp*temp;
temp = work.KKT[162]-1*work.d[80]*work.L[49];
residual += temp*temp;
temp = work.KKT[163]-1*work.d[80]*work.L[54];
residual += temp*temp;
temp = work.KKT[164]-1*work.d[80]*work.L[60];
residual += temp*temp;
temp = work.KKT[165]-1*work.d[80]*work.L[67];
residual += temp*temp;
temp = work.KKT[166]-1*work.d[80]*work.L[75];
residual += temp*temp;
temp = work.KKT[167]-1*work.d[80]*work.L[84];
residual += temp*temp;
temp = work.KKT[168]-1*work.d[80]*work.L[94];
residual += temp*temp;
temp = work.KKT[169]-1*work.d[80]*work.L[105];
residual += temp*temp;
temp = work.KKT[170]-1*work.d[80]*work.L[117];
residual += temp*temp;
temp = work.KKT[171]-1*work.d[80]*work.L[130];
residual += temp*temp;
temp = work.KKT[172]-1*work.d[80]*work.L[144];
residual += temp*temp;
temp = work.KKT[173]-1*work.d[80]*work.L[159];
residual += temp*temp;
temp = work.KKT[174]-1*work.d[80]*work.L[175];
residual += temp*temp;
temp = work.KKT[175]-1*work.d[80]*work.L[192];
residual += temp*temp;
temp = work.KKT[176]-1*work.d[80]*work.L[210];
residual += temp*temp;
temp = work.KKT[177]-1*work.d[80]*work.L[229];
residual += temp*temp;
temp = work.KKT[178]-1*work.d[80]*work.L[249];
residual += temp*temp;
temp = work.KKT[179]-1*work.d[80]*work.L[270];
residual += temp*temp;
return residual;
}
CUDA_CALLABLE_MEMBER
void matrix_multiply(double *result, double *source, Workspace& work, Settings& settings) {
/* Finds result = A*source. */
result[0] = work.KKT[180]*source[0]+work.KKT[181]*source[1]+work.KKT[182]*source[2]+work.KKT[183]*source[3]+work.KKT[184]*source[4]+work.KKT[185]*source[5]+work.KKT[186]*source[6]+work.KKT[187]*source[7]+work.KKT[188]*source[8]+work.KKT[189]*source[9]+work.KKT[190]*source[10]+work.KKT[191]*source[11]+work.KKT[192]*source[12]+work.KKT[193]*source[13]+work.KKT[194]*source[14]+work.KKT[195]*source[15]+work.KKT[196]*source[16]+work.KKT[197]*source[17]+work.KKT[198]*source[18]+work.KKT[199]*source[19]+work.KKT[81]*source[60]+work.KKT[121]*source[80]+work.KKT[160]*source[100];
result[1] = work.KKT[181]*source[0]+work.KKT[200]*source[1]+work.KKT[201]*source[2]+work.KKT[202]*source[3]+work.KKT[203]*source[4]+work.KKT[204]*source[5]+work.KKT[205]*source[6]+work.KKT[206]*source[7]+work.KKT[207]*source[8]+work.KKT[208]*source[9]+work.KKT[209]*source[10]+work.KKT[210]*source[11]+work.KKT[211]*source[12]+work.KKT[212]*source[13]+work.KKT[213]*source[14]+work.KKT[214]*source[15]+work.KKT[215]*source[16]+work.KKT[216]*source[17]+work.KKT[217]*source[18]+work.KKT[218]*source[19]+work.KKT[83]*source[61]+work.KKT[123]*source[81]+work.KKT[161]*source[100];
result[2] = work.KKT[182]*source[0]+work.KKT[201]*source[1]+work.KKT[219]*source[2]+work.KKT[220]*source[3]+work.KKT[221]*source[4]+work.KKT[222]*source[5]+work.KKT[223]*source[6]+work.KKT[224]*source[7]+work.KKT[225]*source[8]+work.KKT[226]*source[9]+work.KKT[227]*source[10]+work.KKT[228]*source[11]+work.KKT[229]*source[12]+work.KKT[230]*source[13]+work.KKT[231]*source[14]+work.KKT[232]*source[15]+work.KKT[233]*source[16]+work.KKT[234]*source[17]+work.KKT[235]*source[18]+work.KKT[236]*source[19]+work.KKT[85]*source[62]+work.KKT[125]*source[82]+work.KKT[162]*source[100];
result[3] = work.KKT[183]*source[0]+work.KKT[202]*source[1]+work.KKT[220]*source[2]+work.KKT[237]*source[3]+work.KKT[238]*source[4]+work.KKT[239]*source[5]+work.KKT[240]*source[6]+work.KKT[241]*source[7]+work.KKT[242]*source[8]+work.KKT[243]*source[9]+work.KKT[244]*source[10]+work.KKT[245]*source[11]+work.KKT[246]*source[12]+work.KKT[247]*source[13]+work.KKT[248]*source[14]+work.KKT[249]*source[15]+work.KKT[250]*source[16]+work.KKT[251]*source[17]+work.KKT[252]*source[18]+work.KKT[253]*source[19]+work.KKT[87]*source[63]+work.KKT[127]*source[83]+work.KKT[163]*source[100];
result[4] = work.KKT[184]*source[0]+work.KKT[203]*source[1]+work.KKT[221]*source[2]+work.KKT[238]*source[3]+work.KKT[254]*source[4]+work.KKT[255]*source[5]+work.KKT[256]*source[6]+work.KKT[257]*source[7]+work.KKT[258]*source[8]+work.KKT[259]*source[9]+work.KKT[260]*source[10]+work.KKT[261]*source[11]+work.KKT[262]*source[12]+work.KKT[263]*source[13]+work.KKT[264]*source[14]+work.KKT[265]*source[15]+work.KKT[266]*source[16]+work.KKT[267]*source[17]+work.KKT[268]*source[18]+work.KKT[269]*source[19]+work.KKT[89]*source[64]+work.KKT[129]*source[84]+work.KKT[164]*source[100];
result[5] = work.KKT[185]*source[0]+work.KKT[204]*source[1]+work.KKT[222]*source[2]+work.KKT[239]*source[3]+work.KKT[255]*source[4]+work.KKT[270]*source[5]+work.KKT[271]*source[6]+work.KKT[272]*source[7]+work.KKT[273]*source[8]+work.KKT[274]*source[9]+work.KKT[275]*source[10]+work.KKT[276]*source[11]+work.KKT[277]*source[12]+work.KKT[278]*source[13]+work.KKT[279]*source[14]+work.KKT[280]*source[15]+work.KKT[281]*source[16]+work.KKT[282]*source[17]+work.KKT[283]*source[18]+work.KKT[284]*source[19]+work.KKT[91]*source[65]+work.KKT[131]*source[85]+work.KKT[165]*source[100];
result[6] = work.KKT[186]*source[0]+work.KKT[205]*source[1]+work.KKT[223]*source[2]+work.KKT[240]*source[3]+work.KKT[256]*source[4]+work.KKT[271]*source[5]+work.KKT[285]*source[6]+work.KKT[286]*source[7]+work.KKT[287]*source[8]+work.KKT[288]*source[9]+work.KKT[289]*source[10]+work.KKT[290]*source[11]+work.KKT[291]*source[12]+work.KKT[292]*source[13]+work.KKT[293]*source[14]+work.KKT[294]*source[15]+work.KKT[295]*source[16]+work.KKT[296]*source[17]+work.KKT[297]*source[18]+work.KKT[298]*source[19]+work.KKT[93]*source[66]+work.KKT[133]*source[86]+work.KKT[166]*source[100];
result[7] = work.KKT[187]*source[0]+work.KKT[206]*source[1]+work.KKT[224]*source[2]+work.KKT[241]*source[3]+work.KKT[257]*source[4]+work.KKT[272]*source[5]+work.KKT[286]*source[6]+work.KKT[299]*source[7]+work.KKT[300]*source[8]+work.KKT[301]*source[9]+work.KKT[302]*source[10]+work.KKT[303]*source[11]+work.KKT[304]*source[12]+work.KKT[305]*source[13]+work.KKT[306]*source[14]+work.KKT[307]*source[15]+work.KKT[308]*source[16]+work.KKT[309]*source[17]+work.KKT[310]*source[18]+work.KKT[311]*source[19]+work.KKT[95]*source[67]+work.KKT[135]*source[87]+work.KKT[167]*source[100];
result[8] = work.KKT[188]*source[0]+work.KKT[207]*source[1]+work.KKT[225]*source[2]+work.KKT[242]*source[3]+work.KKT[258]*source[4]+work.KKT[273]*source[5]+work.KKT[287]*source[6]+work.KKT[300]*source[7]+work.KKT[312]*source[8]+work.KKT[313]*source[9]+work.KKT[314]*source[10]+work.KKT[315]*source[11]+work.KKT[316]*source[12]+work.KKT[317]*source[13]+work.KKT[318]*source[14]+work.KKT[319]*source[15]+work.KKT[320]*source[16]+work.KKT[321]*source[17]+work.KKT[322]*source[18]+work.KKT[323]*source[19]+work.KKT[97]*source[68]+work.KKT[137]*source[88]+work.KKT[168]*source[100];
result[9] = work.KKT[189]*source[0]+work.KKT[208]*source[1]+work.KKT[226]*source[2]+work.KKT[243]*source[3]+work.KKT[259]*source[4]+work.KKT[274]*source[5]+work.KKT[288]*source[6]+work.KKT[301]*source[7]+work.KKT[313]*source[8]+work.KKT[324]*source[9]+work.KKT[325]*source[10]+work.KKT[326]*source[11]+work.KKT[327]*source[12]+work.KKT[328]*source[13]+work.KKT[329]*source[14]+work.KKT[330]*source[15]+work.KKT[331]*source[16]+work.KKT[332]*source[17]+work.KKT[333]*source[18]+work.KKT[334]*source[19]+work.KKT[99]*source[69]+work.KKT[139]*source[89]+work.KKT[169]*source[100];
result[10] = work.KKT[190]*source[0]+work.KKT[209]*source[1]+work.KKT[227]*source[2]+work.KKT[244]*source[3]+work.KKT[260]*source[4]+work.KKT[275]*source[5]+work.KKT[289]*source[6]+work.KKT[302]*source[7]+work.KKT[314]*source[8]+work.KKT[325]*source[9]+work.KKT[335]*source[10]+work.KKT[336]*source[11]+work.KKT[337]*source[12]+work.KKT[338]*source[13]+work.KKT[339]*source[14]+work.KKT[340]*source[15]+work.KKT[341]*source[16]+work.KKT[342]*source[17]+work.KKT[343]*source[18]+work.KKT[344]*source[19]+work.KKT[101]*source[70]+work.KKT[141]*source[90]+work.KKT[170]*source[100];
result[11] = work.KKT[191]*source[0]+work.KKT[210]*source[1]+work.KKT[228]*source[2]+work.KKT[245]*source[3]+work.KKT[261]*source[4]+work.KKT[276]*source[5]+work.KKT[290]*source[6]+work.KKT[303]*source[7]+work.KKT[315]*source[8]+work.KKT[326]*source[9]+work.KKT[336]*source[10]+work.KKT[345]*source[11]+work.KKT[346]*source[12]+work.KKT[347]*source[13]+work.KKT[348]*source[14]+work.KKT[349]*source[15]+work.KKT[350]*source[16]+work.KKT[351]*source[17]+work.KKT[352]*source[18]+work.KKT[353]*source[19]+work.KKT[103]*source[71]+work.KKT[143]*source[91]+work.KKT[171]*source[100];
result[12] = work.KKT[192]*source[0]+work.KKT[211]*source[1]+work.KKT[229]*source[2]+work.KKT[246]*source[3]+work.KKT[262]*source[4]+work.KKT[277]*source[5]+work.KKT[291]*source[6]+work.KKT[304]*source[7]+work.KKT[316]*source[8]+work.KKT[327]*source[9]+work.KKT[337]*source[10]+work.KKT[346]*source[11]+work.KKT[354]*source[12]+work.KKT[355]*source[13]+work.KKT[356]*source[14]+work.KKT[357]*source[15]+work.KKT[358]*source[16]+work.KKT[359]*source[17]+work.KKT[360]*source[18]+work.KKT[361]*source[19]+work.KKT[105]*source[72]+work.KKT[145]*source[92]+work.KKT[172]*source[100];
result[13] = work.KKT[193]*source[0]+work.KKT[212]*source[1]+work.KKT[230]*source[2]+work.KKT[247]*source[3]+work.KKT[263]*source[4]+work.KKT[278]*source[5]+work.KKT[292]*source[6]+work.KKT[305]*source[7]+work.KKT[317]*source[8]+work.KKT[328]*source[9]+work.KKT[338]*source[10]+work.KKT[347]*source[11]+work.KKT[355]*source[12]+work.KKT[362]*source[13]+work.KKT[363]*source[14]+work.KKT[364]*source[15]+work.KKT[365]*source[16]+work.KKT[366]*source[17]+work.KKT[367]*source[18]+work.KKT[368]*source[19]+work.KKT[107]*source[73]+work.KKT[147]*source[93]+work.KKT[173]*source[100];
result[14] = work.KKT[194]*source[0]+work.KKT[213]*source[1]+work.KKT[231]*source[2]+work.KKT[248]*source[3]+work.KKT[264]*source[4]+work.KKT[279]*source[5]+work.KKT[293]*source[6]+work.KKT[306]*source[7]+work.KKT[318]*source[8]+work.KKT[329]*source[9]+work.KKT[339]*source[10]+work.KKT[348]*source[11]+work.KKT[356]*source[12]+work.KKT[363]*source[13]+work.KKT[369]*source[14]+work.KKT[370]*source[15]+work.KKT[371]*source[16]+work.KKT[372]*source[17]+work.KKT[373]*source[18]+work.KKT[374]*source[19]+work.KKT[109]*source[74]+work.KKT[149]*source[94]+work.KKT[174]*source[100];
result[15] = work.KKT[195]*source[0]+work.KKT[214]*source[1]+work.KKT[232]*source[2]+work.KKT[249]*source[3]+work.KKT[265]*source[4]+work.KKT[280]*source[5]+work.KKT[294]*source[6]+work.KKT[307]*source[7]+work.KKT[319]*source[8]+work.KKT[330]*source[9]+work.KKT[340]*source[10]+work.KKT[349]*source[11]+work.KKT[357]*source[12]+work.KKT[364]*source[13]+work.KKT[370]*source[14]+work.KKT[375]*source[15]+work.KKT[376]*source[16]+work.KKT[377]*source[17]+work.KKT[378]*source[18]+work.KKT[379]*source[19]+work.KKT[111]*source[75]+work.KKT[151]*source[95]+work.KKT[175]*source[100];
result[16] = work.KKT[196]*source[0]+work.KKT[215]*source[1]+work.KKT[233]*source[2]+work.KKT[250]*source[3]+work.KKT[266]*source[4]+work.KKT[281]*source[5]+work.KKT[295]*source[6]+work.KKT[308]*source[7]+work.KKT[320]*source[8]+work.KKT[331]*source[9]+work.KKT[341]*source[10]+work.KKT[350]*source[11]+work.KKT[358]*source[12]+work.KKT[365]*source[13]+work.KKT[371]*source[14]+work.KKT[376]*source[15]+work.KKT[380]*source[16]+work.KKT[381]*source[17]+work.KKT[382]*source[18]+work.KKT[383]*source[19]+work.KKT[113]*source[76]+work.KKT[153]*source[96]+work.KKT[176]*source[100];
result[17] = work.KKT[197]*source[0]+work.KKT[216]*source[1]+work.KKT[234]*source[2]+work.KKT[251]*source[3]+work.KKT[267]*source[4]+work.KKT[282]*source[5]+work.KKT[296]*source[6]+work.KKT[309]*source[7]+work.KKT[321]*source[8]+work.KKT[332]*source[9]+work.KKT[342]*source[10]+work.KKT[351]*source[11]+work.KKT[359]*source[12]+work.KKT[366]*source[13]+work.KKT[372]*source[14]+work.KKT[377]*source[15]+work.KKT[381]*source[16]+work.KKT[384]*source[17]+work.KKT[385]*source[18]+work.KKT[386]*source[19]+work.KKT[115]*source[77]+work.KKT[155]*source[97]+work.KKT[177]*source[100];
result[18] = work.KKT[198]*source[0]+work.KKT[217]*source[1]+work.KKT[235]*source[2]+work.KKT[252]*source[3]+work.KKT[268]*source[4]+work.KKT[283]*source[5]+work.KKT[297]*source[6]+work.KKT[310]*source[7]+work.KKT[322]*source[8]+work.KKT[333]*source[9]+work.KKT[343]*source[10]+work.KKT[352]*source[11]+work.KKT[360]*source[12]+work.KKT[367]*source[13]+work.KKT[373]*source[14]+work.KKT[378]*source[15]+work.KKT[382]*source[16]+work.KKT[385]*source[17]+work.KKT[387]*source[18]+work.KKT[388]*source[19]+work.KKT[117]*source[78]+work.KKT[157]*source[98]+work.KKT[178]*source[100];
result[19] = work.KKT[199]*source[0]+work.KKT[218]*source[1]+work.KKT[236]*source[2]+work.KKT[253]*source[3]+work.KKT[269]*source[4]+work.KKT[284]*source[5]+work.KKT[298]*source[6]+work.KKT[311]*source[7]+work.KKT[323]*source[8]+work.KKT[334]*source[9]+work.KKT[344]*source[10]+work.KKT[353]*source[11]+work.KKT[361]*source[12]+work.KKT[368]*source[13]+work.KKT[374]*source[14]+work.KKT[379]*source[15]+work.KKT[383]*source[16]+work.KKT[386]*source[17]+work.KKT[388]*source[18]+work.KKT[389]*source[19]+work.KKT[119]*source[79]+work.KKT[159]*source[99]+work.KKT[179]*source[100];
result[20] = work.KKT[0]*source[20]+work.KKT[1]*source[60];
result[21] = work.KKT[2]*source[21]+work.KKT[3]*source[61];
result[22] = work.KKT[4]*source[22]+work.KKT[5]*source[62];
result[23] = work.KKT[6]*source[23]+work.KKT[7]*source[63];
result[24] = work.KKT[8]*source[24]+work.KKT[9]*source[64];
result[25] = work.KKT[10]*source[25]+work.KKT[11]*source[65];
result[26] = work.KKT[12]*source[26]+work.KKT[13]*source[66];
result[27] = work.KKT[14]*source[27]+work.KKT[15]*source[67];
result[28] = work.KKT[16]*source[28]+work.KKT[17]*source[68];
result[29] = work.KKT[18]*source[29]+work.KKT[19]*source[69];
result[30] = work.KKT[20]*source[30]+work.KKT[21]*source[70];
result[31] = work.KKT[22]*source[31]+work.KKT[23]*source[71];
result[32] = work.KKT[24]*source[32]+work.KKT[25]*source[72];
result[33] = work.KKT[26]*source[33]+work.KKT[27]*source[73];
result[34] = work.KKT[28]*source[34]+work.KKT[29]*source[74];
result[35] = work.KKT[30]*source[35]+work.KKT[31]*source[75];
result[36] = work.KKT[32]*source[36]+work.KKT[33]*source[76];
result[37] = work.KKT[34]*source[37]+work.KKT[35]*source[77];
result[38] = work.KKT[36]*source[38]+work.KKT[37]*source[78];
result[39] = work.KKT[38]*source[39]+work.KKT[39]*source[79];
result[40] = work.KKT[40]*source[40]+work.KKT[41]*source[80];
result[41] = work.KKT[42]*source[41]+work.KKT[43]*source[81];
result[42] = work.KKT[44]*source[42]+work.KKT[45]*source[82];
result[43] = work.KKT[46]*source[43]+work.KKT[47]*source[83];
result[44] = work.KKT[48]*source[44]+work.KKT[49]*source[84];
result[45] = work.KKT[50]*source[45]+work.KKT[51]*source[85];
result[46] = work.KKT[52]*source[46]+work.KKT[53]*source[86];
result[47] = work.KKT[54]*source[47]+work.KKT[55]*source[87];
result[48] = work.KKT[56]*source[48]+work.KKT[57]*source[88];
result[49] = work.KKT[58]*source[49]+work.KKT[59]*source[89];
result[50] = work.KKT[60]*source[50]+work.KKT[61]*source[90];
result[51] = work.KKT[62]*source[51]+work.KKT[63]*source[91];
result[52] = work.KKT[64]*source[52]+work.KKT[65]*source[92];
result[53] = work.KKT[66]*source[53]+work.KKT[67]*source[93];
result[54] = work.KKT[68]*source[54]+work.KKT[69]*source[94];
result[55] = work.KKT[70]*source[55]+work.KKT[71]*source[95];
result[56] = work.KKT[72]*source[56]+work.KKT[73]*source[96];
result[57] = work.KKT[74]*source[57]+work.KKT[75]*source[97];
result[58] = work.KKT[76]*source[58]+work.KKT[77]*source[98];
result[59] = work.KKT[78]*source[59]+work.KKT[79]*source[99];
result[60] = work.KKT[1]*source[20]+work.KKT[80]*source[60]+work.KKT[81]*source[0];
result[61] = work.KKT[3]*source[21]+work.KKT[82]*source[61]+work.KKT[83]*source[1];
result[62] = work.KKT[5]*source[22]+work.KKT[84]*source[62]+work.KKT[85]*source[2];
result[63] = work.KKT[7]*source[23]+work.KKT[86]*source[63]+work.KKT[87]*source[3];
result[64] = work.KKT[9]*source[24]+work.KKT[88]*source[64]+work.KKT[89]*source[4];
result[65] = work.KKT[11]*source[25]+work.KKT[90]*source[65]+work.KKT[91]*source[5];
result[66] = work.KKT[13]*source[26]+work.KKT[92]*source[66]+work.KKT[93]*source[6];
result[67] = work.KKT[15]*source[27]+work.KKT[94]*source[67]+work.KKT[95]*source[7];
result[68] = work.KKT[17]*source[28]+work.KKT[96]*source[68]+work.KKT[97]*source[8];
result[69] = work.KKT[19]*source[29]+work.KKT[98]*source[69]+work.KKT[99]*source[9];
result[70] = work.KKT[21]*source[30]+work.KKT[100]*source[70]+work.KKT[101]*source[10];
result[71] = work.KKT[23]*source[31]+work.KKT[102]*source[71]+work.KKT[103]*source[11];
result[72] = work.KKT[25]*source[32]+work.KKT[104]*source[72]+work.KKT[105]*source[12];
result[73] = work.KKT[27]*source[33]+work.KKT[106]*source[73]+work.KKT[107]*source[13];
result[74] = work.KKT[29]*source[34]+work.KKT[108]*source[74]+work.KKT[109]*source[14];
result[75] = work.KKT[31]*source[35]+work.KKT[110]*source[75]+work.KKT[111]*source[15];
result[76] = work.KKT[33]*source[36]+work.KKT[112]*source[76]+work.KKT[113]*source[16];
result[77] = work.KKT[35]*source[37]+work.KKT[114]*source[77]+work.KKT[115]*source[17];
result[78] = work.KKT[37]*source[38]+work.KKT[116]*source[78]+work.KKT[117]*source[18];
result[79] = work.KKT[39]*source[39]+work.KKT[118]*source[79]+work.KKT[119]*source[19];
result[80] = work.KKT[41]*source[40]+work.KKT[120]*source[80]+work.KKT[121]*source[0];
result[81] = work.KKT[43]*source[41]+work.KKT[122]*source[81]+work.KKT[123]*source[1];
result[82] = work.KKT[45]*source[42]+work.KKT[124]*source[82]+work.KKT[125]*source[2];
result[83] = work.KKT[47]*source[43]+work.KKT[126]*source[83]+work.KKT[127]*source[3];
result[84] = work.KKT[49]*source[44]+work.KKT[128]*source[84]+work.KKT[129]*source[4];
result[85] = work.KKT[51]*source[45]+work.KKT[130]*source[85]+work.KKT[131]*source[5];
result[86] = work.KKT[53]*source[46]+work.KKT[132]*source[86]+work.KKT[133]*source[6];
result[87] = work.KKT[55]*source[47]+work.KKT[134]*source[87]+work.KKT[135]*source[7];
result[88] = work.KKT[57]*source[48]+work.KKT[136]*source[88]+work.KKT[137]*source[8];
result[89] = work.KKT[59]*source[49]+work.KKT[138]*source[89]+work.KKT[139]*source[9];
result[90] = work.KKT[61]*source[50]+work.KKT[140]*source[90]+work.KKT[141]*source[10];
result[91] = work.KKT[63]*source[51]+work.KKT[142]*source[91]+work.KKT[143]*source[11];
result[92] = work.KKT[65]*source[52]+work.KKT[144]*source[92]+work.KKT[145]*source[12];
result[93] = work.KKT[67]*source[53]+work.KKT[146]*source[93]+work.KKT[147]*source[13];
result[94] = work.KKT[69]*source[54]+work.KKT[148]*source[94]+work.KKT[149]*source[14];
result[95] = work.KKT[71]*source[55]+work.KKT[150]*source[95]+work.KKT[151]*source[15];
result[96] = work.KKT[73]*source[56]+work.KKT[152]*source[96]+work.KKT[153]*source[16];
result[97] = work.KKT[75]*source[57]+work.KKT[154]*source[97]+work.KKT[155]*source[17];
result[98] = work.KKT[77]*source[58]+work.KKT[156]*source[98]+work.KKT[157]*source[18];
result[99] = work.KKT[79]*source[59]+work.KKT[158]*source[99]+work.KKT[159]*source[19];
result[100] = work.KKT[160]*source[0]+work.KKT[161]*source[1]+work.KKT[162]*source[2]+work.KKT[163]*source[3]+work.KKT[164]*source[4]+work.KKT[165]*source[5]+work.KKT[166]*source[6]+work.KKT[167]*source[7]+work.KKT[168]*source[8]+work.KKT[169]*source[9]+work.KKT[170]*source[10]+work.KKT[171]*source[11]+work.KKT[172]*source[12]+work.KKT[173]*source[13]+work.KKT[174]*source[14]+work.KKT[175]*source[15]+work.KKT[176]*source[16]+work.KKT[177]*source[17]+work.KKT[178]*source[18]+work.KKT[179]*source[19];
}
CUDA_CALLABLE_MEMBER
double check_residual(double *target, double *multiplicand, Workspace& work, Settings& settings) {
/* Returns the squared 2-norm of lhs - A*rhs. */
/* Reuses v to find the residual. */
int i;
double residual;
residual = 0;
matrix_multiply(work.v, multiplicand, work, settings);
for (i = 0; i < 20; i++) {
residual += (target[i] - work.v[i])*(target[i] - work.v[i]);
}
return residual;
}
CUDA_CALLABLE_MEMBER
void fill_KKT(Workspace& work, Params& params) {
work.KKT[180] = 2*params.Sigma[0];
work.KKT[181] = 2*params.Sigma[20];
work.KKT[182] = 2*params.Sigma[40];
work.KKT[183] = 2*params.Sigma[60];
work.KKT[184] = 2*params.Sigma[80];
work.KKT[185] = 2*params.Sigma[100];
work.KKT[186] = 2*params.Sigma[120];
work.KKT[187] = 2*params.Sigma[140];
work.KKT[188] = 2*params.Sigma[160];
work.KKT[189] = 2*params.Sigma[180];
work.KKT[190] = 2*params.Sigma[200];
work.KKT[191] = 2*params.Sigma[220];
work.KKT[192] = 2*params.Sigma[240];
work.KKT[193] = 2*params.Sigma[260];
work.KKT[194] = 2*params.Sigma[280];
work.KKT[195] = 2*params.Sigma[300];
work.KKT[196] = 2*params.Sigma[320];
work.KKT[197] = 2*params.Sigma[340];
work.KKT[198] = 2*params.Sigma[360];
work.KKT[199] = 2*params.Sigma[380];
work.KKT[200] = 2*params.Sigma[21];
work.KKT[201] = 2*params.Sigma[41];
work.KKT[202] = 2*params.Sigma[61];
work.KKT[203] = 2*params.Sigma[81];
work.KKT[204] = 2*params.Sigma[101];
work.KKT[205] = 2*params.Sigma[121];
work.KKT[206] = 2*params.Sigma[141];
work.KKT[207] = 2*params.Sigma[161];
work.KKT[208] = 2*params.Sigma[181];
work.KKT[209] = 2*params.Sigma[201];
work.KKT[210] = 2*params.Sigma[221];
work.KKT[211] = 2*params.Sigma[241];
work.KKT[212] = 2*params.Sigma[261];
work.KKT[213] = 2*params.Sigma[281];
work.KKT[214] = 2*params.Sigma[301];
work.KKT[215] = 2*params.Sigma[321];
work.KKT[216] = 2*params.Sigma[341];
work.KKT[217] = 2*params.Sigma[361];
work.KKT[218] = 2*params.Sigma[381];
work.KKT[219] = 2*params.Sigma[42];
work.KKT[220] = 2*params.Sigma[62];
work.KKT[221] = 2*params.Sigma[82];
work.KKT[222] = 2*params.Sigma[102];
work.KKT[223] = 2*params.Sigma[122];
work.KKT[224] = 2*params.Sigma[142];
work.KKT[225] = 2*params.Sigma[162];
work.KKT[226] = 2*params.Sigma[182];
work.KKT[227] = 2*params.Sigma[202];
work.KKT[228] = 2*params.Sigma[222];
work.KKT[229] = 2*params.Sigma[242];
work.KKT[230] = 2*params.Sigma[262];
work.KKT[231] = 2*params.Sigma[282];
work.KKT[232] = 2*params.Sigma[302];
work.KKT[233] = 2*params.Sigma[322];
work.KKT[234] = 2*params.Sigma[342];
work.KKT[235] = 2*params.Sigma[362];
work.KKT[236] = 2*params.Sigma[382];
work.KKT[237] = 2*params.Sigma[63];
work.KKT[238] = 2*params.Sigma[83];
work.KKT[239] = 2*params.Sigma[103];
work.KKT[240] = 2*params.Sigma[123];
work.KKT[241] = 2*params.Sigma[143];
work.KKT[242] = 2*params.Sigma[163];
work.KKT[243] = 2*params.Sigma[183];
work.KKT[244] = 2*params.Sigma[203];
work.KKT[245] = 2*params.Sigma[223];
work.KKT[246] = 2*params.Sigma[243];
work.KKT[247] = 2*params.Sigma[263];
work.KKT[248] = 2*params.Sigma[283];
work.KKT[249] = 2*params.Sigma[303];
work.KKT[250] = 2*params.Sigma[323];
work.KKT[251] = 2*params.Sigma[343];
work.KKT[252] = 2*params.Sigma[363];
work.KKT[253] = 2*params.Sigma[383];
work.KKT[254] = 2*params.Sigma[84];
work.KKT[255] = 2*params.Sigma[104];
work.KKT[256] = 2*params.Sigma[124];
work.KKT[257] = 2*params.Sigma[144];
work.KKT[258] = 2*params.Sigma[164];
work.KKT[259] = 2*params.Sigma[184];
work.KKT[260] = 2*params.Sigma[204];
work.KKT[261] = 2*params.Sigma[224];
work.KKT[262] = 2*params.Sigma[244];
work.KKT[263] = 2*params.Sigma[264];
work.KKT[264] = 2*params.Sigma[284];
work.KKT[265] = 2*params.Sigma[304];
work.KKT[266] = 2*params.Sigma[324];
work.KKT[267] = 2*params.Sigma[344];
work.KKT[268] = 2*params.Sigma[364];
work.KKT[269] = 2*params.Sigma[384];
work.KKT[270] = 2*params.Sigma[105];
work.KKT[271] = 2*params.Sigma[125];
work.KKT[272] = 2*params.Sigma[145];
work.KKT[273] = 2*params.Sigma[165];
work.KKT[274] = 2*params.Sigma[185];
work.KKT[275] = 2*params.Sigma[205];
work.KKT[276] = 2*params.Sigma[225];
work.KKT[277] = 2*params.Sigma[245];
work.KKT[278] = 2*params.Sigma[265];
work.KKT[279] = 2*params.Sigma[285];
work.KKT[280] = 2*params.Sigma[305];
work.KKT[281] = 2*params.Sigma[325];
work.KKT[282] = 2*params.Sigma[345];
work.KKT[283] = 2*params.Sigma[365];
work.KKT[284] = 2*params.Sigma[385];
work.KKT[285] = 2*params.Sigma[126];
work.KKT[286] = 2*params.Sigma[146];
work.KKT[287] = 2*params.Sigma[166];
work.KKT[288] = 2*params.Sigma[186];
work.KKT[289] = 2*params.Sigma[206];
work.KKT[290] = 2*params.Sigma[226];
work.KKT[291] = 2*params.Sigma[246];
work.KKT[292] = 2*params.Sigma[266];
work.KKT[293] = 2*params.Sigma[286];
work.KKT[294] = 2*params.Sigma[306];
work.KKT[295] = 2*params.Sigma[326];
work.KKT[296] = 2*params.Sigma[346];
work.KKT[297] = 2*params.Sigma[366];
work.KKT[298] = 2*params.Sigma[386];
work.KKT[299] = 2*params.Sigma[147];
work.KKT[300] = 2*params.Sigma[167];
work.KKT[301] = 2*params.Sigma[187];
work.KKT[302] = 2*params.Sigma[207];
work.KKT[303] = 2*params.Sigma[227];
work.KKT[304] = 2*params.Sigma[247];
work.KKT[305] = 2*params.Sigma[267];
work.KKT[306] = 2*params.Sigma[287];
work.KKT[307] = 2*params.Sigma[307];
work.KKT[308] = 2*params.Sigma[327];
work.KKT[309] = 2*params.Sigma[347];
work.KKT[310] = 2*params.Sigma[367];
work.KKT[311] = 2*params.Sigma[387];
work.KKT[312] = 2*params.Sigma[168];
work.KKT[313] = 2*params.Sigma[188];
work.KKT[314] = 2*params.Sigma[208];
work.KKT[315] = 2*params.Sigma[228];
work.KKT[316] = 2*params.Sigma[248];
work.KKT[317] = 2*params.Sigma[268];
work.KKT[318] = 2*params.Sigma[288];
work.KKT[319] = 2*params.Sigma[308];
work.KKT[320] = 2*params.Sigma[328];
work.KKT[321] = 2*params.Sigma[348];
work.KKT[322] = 2*params.Sigma[368];
work.KKT[323] = 2*params.Sigma[388];
work.KKT[324] = 2*params.Sigma[189];
work.KKT[325] = 2*params.Sigma[209];
work.KKT[326] = 2*params.Sigma[229];
work.KKT[327] = 2*params.Sigma[249];
work.KKT[328] = 2*params.Sigma[269];
work.KKT[329] = 2*params.Sigma[289];
work.KKT[330] = 2*params.Sigma[309];
work.KKT[331] = 2*params.Sigma[329];
work.KKT[332] = 2*params.Sigma[349];
work.KKT[333] = 2*params.Sigma[369];
work.KKT[334] = 2*params.Sigma[389];
work.KKT[335] = 2*params.Sigma[210];
work.KKT[336] = 2*params.Sigma[230];
work.KKT[337] = 2*params.Sigma[250];
work.KKT[338] = 2*params.Sigma[270];
work.KKT[339] = 2*params.Sigma[290];
work.KKT[340] = 2*params.Sigma[310];
work.KKT[341] = 2*params.Sigma[330];
work.KKT[342] = 2*params.Sigma[350];
work.KKT[343] = 2*params.Sigma[370];
work.KKT[344] = 2*params.Sigma[390];
work.KKT[345] = 2*params.Sigma[231];
work.KKT[346] = 2*params.Sigma[251];
work.KKT[347] = 2*params.Sigma[271];
work.KKT[348] = 2*params.Sigma[291];
work.KKT[349] = 2*params.Sigma[311];
work.KKT[350] = 2*params.Sigma[331];
work.KKT[351] = 2*params.Sigma[351];
work.KKT[352] = 2*params.Sigma[371];
work.KKT[353] = 2*params.Sigma[391];
work.KKT[354] = 2*params.Sigma[252];
work.KKT[355] = 2*params.Sigma[272];
work.KKT[356] = 2*params.Sigma[292];
work.KKT[357] = 2*params.Sigma[312];
work.KKT[358] = 2*params.Sigma[332];
work.KKT[359] = 2*params.Sigma[352];
work.KKT[360] = 2*params.Sigma[372];
work.KKT[361] = 2*params.Sigma[392];
work.KKT[362] = 2*params.Sigma[273];
work.KKT[363] = 2*params.Sigma[293];
work.KKT[364] = 2*params.Sigma[313];
work.KKT[365] = 2*params.Sigma[333];
work.KKT[366] = 2*params.Sigma[353];
work.KKT[367] = 2*params.Sigma[373];
work.KKT[368] = 2*params.Sigma[393];
work.KKT[369] = 2*params.Sigma[294];
work.KKT[370] = 2*params.Sigma[314];
work.KKT[371] = 2*params.Sigma[334];
work.KKT[372] = 2*params.Sigma[354];
work.KKT[373] = 2*params.Sigma[374];
work.KKT[374] = 2*params.Sigma[394];
work.KKT[375] = 2*params.Sigma[315];
work.KKT[376] = 2*params.Sigma[335];
work.KKT[377] = 2*params.Sigma[355];
work.KKT[378] = 2*params.Sigma[375];
work.KKT[379] = 2*params.Sigma[395];
work.KKT[380] = 2*params.Sigma[336];
work.KKT[381] = 2*params.Sigma[356];
work.KKT[382] = 2*params.Sigma[376];
work.KKT[383] = 2*params.Sigma[396];
work.KKT[384] = 2*params.Sigma[357];
work.KKT[385] = 2*params.Sigma[377];
work.KKT[386] = 2*params.Sigma[397];
work.KKT[387] = 2*params.Sigma[378];
work.KKT[388] = 2*params.Sigma[398];
work.KKT[389] = 2*params.Sigma[399];
work.KKT[0] = work.s_inv_z[0];
work.KKT[2] = work.s_inv_z[1];
work.KKT[4] = work.s_inv_z[2];
work.KKT[6] = work.s_inv_z[3];
work.KKT[8] = work.s_inv_z[4];
work.KKT[10] = work.s_inv_z[5];
work.KKT[12] = work.s_inv_z[6];
work.KKT[14] = work.s_inv_z[7];
work.KKT[16] = work.s_inv_z[8];
work.KKT[18] = work.s_inv_z[9];
work.KKT[20] = work.s_inv_z[10];
work.KKT[22] = work.s_inv_z[11];
work.KKT[24] = work.s_inv_z[12];
work.KKT[26] = work.s_inv_z[13];
work.KKT[28] = work.s_inv_z[14];
work.KKT[30] = work.s_inv_z[15];
work.KKT[32] = work.s_inv_z[16];
work.KKT[34] = work.s_inv_z[17];
work.KKT[36] = work.s_inv_z[18];
work.KKT[38] = work.s_inv_z[19];
work.KKT[40] = work.s_inv_z[20];
work.KKT[42] = work.s_inv_z[21];
work.KKT[44] = work.s_inv_z[22];
work.KKT[46] = work.s_inv_z[23];
work.KKT[48] = work.s_inv_z[24];
work.KKT[50] = work.s_inv_z[25];
work.KKT[52] = work.s_inv_z[26];
work.KKT[54] = work.s_inv_z[27];
work.KKT[56] = work.s_inv_z[28];
work.KKT[58] = work.s_inv_z[29];
work.KKT[60] = work.s_inv_z[30];
work.KKT[62] = work.s_inv_z[31];
work.KKT[64] = work.s_inv_z[32];
work.KKT[66] = work.s_inv_z[33];
work.KKT[68] = work.s_inv_z[34];
work.KKT[70] = work.s_inv_z[35];
work.KKT[72] = work.s_inv_z[36];
work.KKT[74] = work.s_inv_z[37];
work.KKT[76] = work.s_inv_z[38];
work.KKT[78] = work.s_inv_z[39];
work.KKT[1] = 1;
work.KKT[3] = 1;
work.KKT[5] = 1;
work.KKT[7] = 1;
work.KKT[9] = 1;
work.KKT[11] = 1;
work.KKT[13] = 1;
work.KKT[15] = 1;
work.KKT[17] = 1;
work.KKT[19] = 1;
work.KKT[21] = 1;
work.KKT[23] = 1;
work.KKT[25] = 1;
work.KKT[27] = 1;
work.KKT[29] = 1;
work.KKT[31] = 1;
work.KKT[33] = 1;
work.KKT[35] = 1;
work.KKT[37] = 1;
work.KKT[39] = 1;
work.KKT[41] = 1;
work.KKT[43] = 1;
work.KKT[45] = 1;
work.KKT[47] = 1;
work.KKT[49] = 1;
work.KKT[51] = 1;
work.KKT[53] = 1;
work.KKT[55] = 1;
work.KKT[57] = 1;
work.KKT[59] = 1;
work.KKT[61] = 1;
work.KKT[63] = 1;
work.KKT[65] = 1;
work.KKT[67] = 1;
work.KKT[69] = 1;
work.KKT[71] = 1;
work.KKT[73] = 1;
work.KKT[75] = 1;
work.KKT[77] = 1;
work.KKT[79] = 1;
work.KKT[80] = work.block_33[0];
work.KKT[82] = work.block_33[0];
work.KKT[84] = work.block_33[0];
work.KKT[86] = work.block_33[0];
work.KKT[88] = work.block_33[0];
work.KKT[90] = work.block_33[0];
work.KKT[92] = work.block_33[0];
work.KKT[94] = work.block_33[0];
work.KKT[96] = work.block_33[0];
work.KKT[98] = work.block_33[0];
work.KKT[100] = work.block_33[0];
work.KKT[102] = work.block_33[0];
work.KKT[104] = work.block_33[0];
work.KKT[106] = work.block_33[0];
work.KKT[108] = work.block_33[0];
work.KKT[110] = work.block_33[0];
work.KKT[112] = work.block_33[0];
work.KKT[114] = work.block_33[0];
work.KKT[116] = work.block_33[0];
work.KKT[118] = work.block_33[0];
work.KKT[120] = work.block_33[0];
work.KKT[122] = work.block_33[0];
work.KKT[124] = work.block_33[0];
work.KKT[126] = work.block_33[0];
work.KKT[128] = work.block_33[0];
work.KKT[130] = work.block_33[0];
work.KKT[132] = work.block_33[0];
work.KKT[134] = work.block_33[0];
work.KKT[136] = work.block_33[0];
work.KKT[138] = work.block_33[0];
work.KKT[140] = work.block_33[0];
work.KKT[142] = work.block_33[0];
work.KKT[144] = work.block_33[0];
work.KKT[146] = work.block_33[0];
work.KKT[148] = work.block_33[0];
work.KKT[150] = work.block_33[0];
work.KKT[152] = work.block_33[0];
work.KKT[154] = work.block_33[0];
work.KKT[156] = work.block_33[0];
work.KKT[158] = work.block_33[0];
work.KKT[81] = 1;
work.KKT[83] = 1;
work.KKT[85] = 1;
work.KKT[87] = 1;
work.KKT[89] = 1;
work.KKT[91] = 1;
work.KKT[93] = 1;
work.KKT[95] = 1;
work.KKT[97] = 1;
work.KKT[99] = 1;
work.KKT[101] = 1;
work.KKT[103] = 1;
work.KKT[105] = 1;
work.KKT[107] = 1;
work.KKT[109] = 1;
work.KKT[111] = 1;
work.KKT[113] = 1;
work.KKT[115] = 1;
work.KKT[117] = 1;
work.KKT[119] = 1;
work.KKT[121] = -1;
work.KKT[123] = -1;
work.KKT[125] = -1;
work.KKT[127] = -1;
work.KKT[129] = -1;
work.KKT[131] = -1;
work.KKT[133] = -1;
work.KKT[135] = -1;
work.KKT[137] = -1;
work.KKT[139] = -1;
work.KKT[141] = -1;
work.KKT[143] = -1;
work.KKT[145] = -1;
work.KKT[147] = -1;
work.KKT[149] = -1;
work.KKT[151] = -1;
work.KKT[153] = -1;
work.KKT[155] = -1;
work.KKT[157] = -1;
work.KKT[159] = -1;
work.KKT[160] = 1;
work.KKT[161] = 1;
work.KKT[162] = 1;
work.KKT[163] = 1;
work.KKT[164] = 1;
work.KKT[165] = 1;
work.KKT[166] = 1;
work.KKT[167] = 1;
work.KKT[168] = 1;
work.KKT[169] = 1;
work.KKT[170] = 1;
work.KKT[171] = 1;
work.KKT[172] = 1;
work.KKT[173] = 1;
work.KKT[174] = 1;
work.KKT[175] = 1;
work.KKT[176] = 1;
work.KKT[177] = 1;
work.KKT[178] = 1;
work.KKT[179] = 1;
}
|
4,474 | #include "includes.h"
# define MAX(a, b) ((a) > (b) ? (a) : (b))
# define GAUSSIAN_KERNEL_SIZE 3
# define SOBEL_KERNEL_SIZE 5
# define TILE_WIDTH 32
# define SMEM_SIZE 128
__global__ void initializeSobel(float *d_sobelKernelX, float *d_sobelKernelY) {
int ix = threadIdx.x;
int iy = threadIdx.y;
int weight = SOBEL_KERNEL_SIZE / 2;
if (ix < SOBEL_KERNEL_SIZE && iy < SOBEL_KERNEL_SIZE) {
int index = iy * SOBEL_KERNEL_SIZE + ix;
float sx = ix - SOBEL_KERNEL_SIZE / 2;
float sy = iy - SOBEL_KERNEL_SIZE / 2;
float norm = sx * sx + sy *sy;
if (norm == 0.0f) {
d_sobelKernelX[index] = 0.0f;
d_sobelKernelY[index] = 0.0f;
}
else {
d_sobelKernelX[index] = sx * weight / norm;
d_sobelKernelY[index] = sy * weight / norm;
}
}
} |
4,475 | //#include "techniqueMegakernel.cuh"
#ifndef PROC_MAX_NUM
#define PROC_MAX_NUM 64
#endif
#ifndef SM_MAX_NUM
#define SM_MAX_NUM 50
#endif
#ifndef MEGAKERNEL_MAX_PROC_NUM
#define MEGAKERNEL_MAX_PROC_NUM 10
#endif
__device__ void* queuePointers[PROC_MAX_NUM];
namespace Megakernel
{
__device__ volatile int doneCounter[PROC_MAX_NUM];
__device__ volatile int endCounter[PROC_MAX_NUM];
__device__ int maxConcurrentBlocks[PROC_MAX_NUM];
__device__ volatile int maxConcurrentBlockEvalDone[PROC_MAX_NUM];
__device__ volatile int sm_flag[PROC_MAX_NUM * SM_MAX_NUM];
//__device__ int proc_exe_count[PROC_MAX_NUM];
__device__ int block_count[PROC_MAX_NUM * SM_MAX_NUM];
__device__ int group_done_flag[PROC_MAX_NUM];
//int numGroups;
//int procGroupArray[PROC_MAX_NUM];
__device__ int *procIdArray_global;
int taskCountArray[PROC_MAX_NUM];
__device__ int resultCounter[PROC_MAX_NUM];
}
|
4,476 | #include <stdio.h>
#define N 64
__global__ void square(float * d_out,float * d_in){
int idx=threadIdx.x;
float f=d_in[idx];
d_out[idx] = f*f/255;
}
void wrapper_square(float * d_out,float * d_in){
square<<<1,N>>>(d_out,d_in);
}
int main(int argc,char ** argv){
const int ARRAY_BYTES = N * sizeof(float);
float h_in[N];
for(int i=0;i<N;i++){
h_in[i]=float(i);
}
float h_out[N];
float * d_in;
float * d_out;
cudaMalloc((void **) &d_in, ARRAY_BYTES);
cudaMalloc((void **) &d_out, ARRAY_BYTES);
cudaMemcpy(d_in,h_in,ARRAY_BYTES,cudaMemcpyHostToDevice);
wrapper_square(d_out,d_in);
cudaMemcpy(h_out,d_out,ARRAY_BYTES,cudaMemcpyDeviceToHost);
for(int i=0;i<N;i++){
printf("%f ",h_out[i]);
printf("%f",h_in[i]);
printf("\n");
}
cudaFree(d_in);
cudaFree(d_out);
return 0;
} |
4,477 | #include<stdio.h>
#include<stdlib.h>
__global__ void blur (int *dev_a)
{
int i = blockIdx.x;
int j = threadIdx.x;
int self[3], top[3], bottom[3], left[3], right[3];
self[0] = dev_a[i*263+j] & 0xff;
self[1] = (dev_a[i*263+j]>> 8) & 0xff;
self[2] = (dev_a[i*263+j]>>16) & 0xff;
if (i==0)
{
top[0] = 0;
top[1] = 0;
top[2] = 0;
}
else
{
top[0] = dev_a[(i-1)*263+j]& 0xff;
top[1] = (dev_a[(i-1)*263+j]>> 8) & 0xff;
top[2] = (dev_a[(i-1)*263+j]>>16) & 0xff;
}
if (i==399)
{
bottom[0] = 0;
bottom[1] = 0;
bottom[2] = 0;
}
else
{
bottom[0] = dev_a[(i+1)*263+j]& 0xff;
bottom[1] = (dev_a[(i+1)*263+j]>> 8) & 0xff;
bottom[2] = (dev_a[(i+1)*263+j]>>16) & 0xff;
}
if (j==0)
{
left[0]=0;
left[1]=0;
left[2]=0;
}
else
{
left[0]=dev_a[(i)*263+j-1]& 0xff;
left[1]=(dev_a[(i)*263+j-1]>> 8) & 0xff;
left[2]=(dev_a[(i)*263+j-1]>>16) & 0xff;
}
if (j==262)
{
right[0]=0;
right[1]=0;
right[2]=0;
}
else
{
right[0]=dev_a[(i)*263+j+1]& 0xff;
right[1]=(dev_a[(i)*263+j+1]>> 8) & 0xff;
right[2]=(dev_a[(i)*263+j+1]>>16) & 0xff;
}
__syncthreads();
for(int x=0; x<=2;x++)
self[x] = (top[x]+bottom[x]+left[x]+right[x]+self[x])/5;
dev_a[i*263+j] = dev_a[i*263+j] & (0xff << 24);
dev_a[i*263+j] = dev_a[i*263+j] | (self[0]) | (self[1]<<8) | (self[2]<<16);
}
unsigned char header[54];
void ReadBMP(char* filename, int* array)
{
FILE* img = fopen(filename, "rb");
fread(header, sizeof(unsigned char), 54, img);
int width = *(int*)&header[18];
int height = *(int*)&header[22];
printf("%d %d\n", width, height);
int* data = (int *)malloc(width*sizeof(int));
int i;
for (i=0; i<height; i++ ) {
fread( data, sizeof(int), width, img);
int j;
for (j=0; j<width; j+=1)
{
array[i*width+j] = data[j];
}}
fclose(img);
}
void WriteBMP(char* filename, int* array)
{
FILE* img = fopen(filename, "wb");
fwrite(header, sizeof(unsigned char), 54, img);
int width = *(int*)&header[18];
int height = *(int*)&header[22];
printf("%d %d\n", width, height);
int* data = (int *)calloc(width,sizeof(int));
int i;
for (i=0; i<height; i++ ) {
int j;
for (j=0; j<width; j+=1)
{
data[j] = array[i*width+j];
}
fwrite( data, sizeof(int), width, img);
}
fclose(img);
}
int main()
{
int arr[400*263];
int *dev_a;
unsigned char head[54];
cudaMalloc((void**)&dev_a, 400*263 * sizeof(int));
char name[] = "test.bmp";
ReadBMP(name,arr);
cudaMemcpy(dev_a, arr, 400*263 * sizeof(int), cudaMemcpyHostToDevice);
blur<<<400,263>>>(dev_a);
cudaMemcpy(arr, dev_a, 400*263 * sizeof(int), cudaMemcpyDeviceToHost);
char name1[] = "test1.bmp";
WriteBMP(name1,arr);
}
|
4,478 | #include <stdio.h>
__global__ void sumArraysOnGpu(const float *a, const float *b, float *c){
const size_t i = threadIdx.x;
c[i] = a[i] + b[i];
}
void launch_cuda(const size_t n, const size_t nBytes, const float * a, const float * b, float * c){
float *d_A, *d_B, *d_C;
cudaMalloc((float**) &d_A, nBytes);
cudaMalloc((float**) &d_B, nBytes);
cudaMalloc((float**) &d_C, nBytes);
cudaMemcpy(d_A, a, nBytes, cudaMemcpyHostToDevice);
cudaMemcpy(d_B, b, nBytes, cudaMemcpyHostToDevice);
sumArraysOnGpu<<<1, n>>>(d_A, d_B, d_C);
cudaMemcpy(c, d_C, nBytes, cudaMemcpyDeviceToHost);
cudaFree(d_A);
cudaFree(d_B);
cudaFree(d_C);
}
|
4,479 | /******************************************************
* CUDA Sum Reduction
* By: Sairam Krishnan
* Date: May 6, 2014
* Compile command: nvcc -arch=sm_20 reduction.cu
******************************************************/
#include <cuda.h>
#include <stdio.h>
#define N 10
#define NTHRDS 4
#define NBLKS (((N) + (NTHRDS-1)) / (NTHRDS))
__global__ void sumReduction(int *input, int *output) {
int index = blockIdx.x * blockDim.x + threadIdx.x;
int sum = 0, i;
__shared__ int temp[NTHRDS];
//Load the values into shared memory.
temp[threadIdx.x] = input[index];
//Wait for all threads in the current block to finish loading values.
__syncthreads();
//Offload the reduction work for this block to thread 0.
if (threadIdx.x != 0)
return;
for (i = 0; i<blockDim.x; i++) {
if (index+i >= N)
break;
sum += temp[i];
}
//Atomic add to prevent inteference from threads outside this block
atomicAdd(output, sum);
}
int main() {
int input[N], output, i;
int *devInput, *devOutput;
for (i = 0; i<N; i++)
input[i] = i+1;
cudaMalloc(&devInput, N*sizeof(int));
cudaMalloc(&devOutput, sizeof(int));
cudaMemcpy(devInput, input, N*sizeof(int), cudaMemcpyHostToDevice);
cudaMemset(devOutput, 0, sizeof(int));
sumReduction <<<NBLKS, NTHRDS>>>(devInput, devOutput);
cudaMemcpy(&output, devOutput, sizeof(int), cudaMemcpyDeviceToHost);
printf("%d\n", output);
cudaFree(devOutput);
cudaFree(devInput);
return 0;
}
|
4,480 | #define I(d,i,j) (i)*(d)+(j)
#define B(i) (i+1)
#define BLOCK_DIM 16
typedef struct{
float *v;
int d;
int size;
} Grid;
__global__ void cero(Grid m)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
if(i<=m.d && j<=m.d)
m.v[I(m.d,i,j)]=0.0;
}
__global__ void random(Grid m)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
if(i<m.d-1 && j<m.d-1 && i>0 && j>0) // Puntos interiores
m.v[I(m.d,i,j)]=10.1+sinf(i+cosf(j));
}
__global__ void suaviza_r(Grid u,Grid f)
{
__shared__ float bf[BLOCK_DIM][BLOCK_DIM];
__shared__ float buo[BLOCK_DIM+2][BLOCK_DIM+2];
float h2 = pow(1.0/(u.d-1),2);
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
int n=threadIdx.x;
int m=threadIdx.y;
if(i<=u.d-1 && j<=u.d-1 && i>=0 && j>=0) // Carga chapucera en shared
{
bf[threadIdx.x][threadIdx.y] = f.v[I(u.d,i ,j )];
buo[threadIdx.x+1][threadIdx.y+1] = u.v[I(u.d,i,j )];
if(threadIdx.x==0 && i-1>=0) //Si el limite sup del bloque está, lo cargamos
buo[threadIdx.x][threadIdx.y+1] = u.v[I(u.d,i-1,j )];
if(threadIdx.x==(u.d-2)%BLOCK_DIM && i+1<=u.d-1)
buo[threadIdx.x+2][threadIdx.y+1] = u.v[I(u.d,i+1,j )];
if(threadIdx.y==0 && j-1>=0) //Si el limite izq del bloque está, lo cargamos
buo[threadIdx.x+1][threadIdx.y] = u.v[I(u.d,i,j-1 )];
if(threadIdx.y==(u.d-2)%BLOCK_DIM && j+1<=u.d-1)
buo[threadIdx.x+1][threadIdx.y+2] = u.v[I(u.d,i,j+1 )];
}
__syncthreads();
if(i<u.d-1 && j<u.d-1 && i>0 && j>0) // Puntos interiores
{
if((i+j)%2==0)
u.v[I(u.d,i,j)]=0.25*(bf[n][m]*h2
+buo[B(n-1)][B(m)]
+buo[B(n+1)][B(m)]
+buo[B(n)][B(m-1)]
+buo[B(n)][B(m+1)]);
}
}
__global__ void suaviza_n(Grid u,Grid f)
{
__shared__ float bf[BLOCK_DIM][BLOCK_DIM];
__shared__ float buo[BLOCK_DIM+2][BLOCK_DIM+2];
float h2 = pow(1.0/(u.d-1),2);
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
int n=threadIdx.x;
int m=threadIdx.y;
if(i<=u.d-1 && j<=u.d-1 && i>=0 && j>=0) // Carga chapucera en shared
{
bf[threadIdx.x][threadIdx.y] = f.v[I(u.d,i ,j )];
buo[threadIdx.x+1][threadIdx.y+1] = u.v[I(u.d,i,j )];
if(threadIdx.x==0 && i-1>=0) //Si el limite sup del bloque está, lo cargamos
buo[threadIdx.x][threadIdx.y+1] = u.v[I(u.d,i-1,j )];
if(threadIdx.x==(u.d-2)%BLOCK_DIM && i+1<=u.d-1)
buo[threadIdx.x+2][threadIdx.y+1] = u.v[I(u.d,i+1,j )];
if(threadIdx.y==0 && j-1>=0) //Si el limite izq del bloque está, lo cargamos
buo[threadIdx.x+1][threadIdx.y] = u.v[I(u.d,i,j-1 )];
if(threadIdx.y==(u.d-2)%BLOCK_DIM && j+1<=u.d-1)
buo[threadIdx.x+1][threadIdx.y+2] = u.v[I(u.d,i,j+1 )];
}
__syncthreads();
if(i<u.d-1 && j<u.d-1 && i>0 && j>0) // Puntos interiores
{
if((i+j)%2==1)
u.v[I(u.d,i,j)]=0.25*(bf[n][m]*h2
+buo[B(n-1)][B(m)]
+buo[B(n+1)][B(m)]
+buo[B(n)][B(m-1)]
+buo[B(n)][B(m+1)]);
}
}
__global__ void defecto(Grid u, Grid f, Grid d)
{
float h2 = pow(1.0/(u.d-1),2);
__shared__ float bu[BLOCK_DIM+2][BLOCK_DIM+2];
__shared__ float bf[BLOCK_DIM][BLOCK_DIM];
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
int n=threadIdx.x;
int m=threadIdx.y;
if(i<=u.d-1 && j<=u.d-1 && i>=0 && j>=0) // Carga chapucera en shared
{
bf[threadIdx.x][threadIdx.y] = f.v[I(u.d,i ,j )];
bu[threadIdx.x+1][threadIdx.y+1] = u.v[I(u.d,i,j )];
if(threadIdx.x==0 && i-1>=0) //Si el limite sup del bloque está, lo cargamos
bu[threadIdx.x][threadIdx.y+1] = u.v[I(u.d,i-1,j )];
if(threadIdx.x==(u.d-2)%BLOCK_DIM && i+1<=u.d-1)
bu[threadIdx.x+2][threadIdx.y+1] = u.v[I(u.d,i+1,j )];
if(threadIdx.y==0 && j-1>=0) //Si el limite izq del bloque está, lo cargamos
bu[threadIdx.x+1][threadIdx.y] = u.v[I(u.d,i,j-1 )];
if(threadIdx.y==(u.d-2)%BLOCK_DIM && j+1<=u.d-1)
bu[threadIdx.x+1][threadIdx.y+2] = u.v[I(u.d,i,j+1 )];
}
__syncthreads();
if(i<u.d-1 && j<u.d-1 && i>0 && j>0) // Puntos interiores
{
d.v[I(u.d,i,j)]= bf[threadIdx.x][threadIdx.y]
-(4*bu[B(n)][B(m)]
-bu[B(n-1)][B(m)]
-bu[B(n+1)][B(m)]
-bu[B(n)][B(m-1)]
-bu[B(n)][B(m+1)])/h2;
}
}
__global__ void restringe(Grid sup, Grid in)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
if(i<in.d-1 && j<in.d-1 && i>0 && j>0) // Puntos interiores
{
in.v[I(in.d,i,j)] = (4* sup.v[I(sup.d,2*i ,2*j )]
+2*(sup.v[I(sup.d,2*i-1,2*j )]
+sup.v[I(sup.d,2*i+1,2*j )]
+sup.v[I(sup.d,2*i ,2*j-1)]
+sup.v[I(sup.d,2*i ,2*j+1)])
+sup.v[I(sup.d,2*i-1,2*j-1)]
+sup.v[I(sup.d,2*i-1,2*j+1)]
+sup.v[I(sup.d,2*i+1,2*j-1)]
+sup.v[I(sup.d,2*i+1,2*j+1)])/16;
}
}
__global__ void exacta(Grid u, Grid f)
{
u.v[I(u.d,1,1)]=f.v[I(u.d,1,1)]/16;
}
__global__ void interpola(Grid u, Grid v)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
if(i<u.d && j<u.d)
{
v.v[I(v.d,2*i,2*j)] = u.v[I(u.d,i,j)];
if(2*i+1<v.d)
v.v[I(v.d,2*i+1,2*j)]=(u.v[I(u.d,i,j)]+u.v[I(u.d,i+1,j)])/2;
if(2*j+1<v.d)
v.v[I(v.d,2*i,2*j+1)]=(u.v[I(u.d,i,j)]+u.v[I(u.d,i,j+1)])/2;
if(2*i+1<v.d && 2*j+1<v.d)
v.v[I(v.d,2*i+1,2*j+1)]=(u.v[I(u.d,i,j)]+u.v[I(u.d,i+1,j)]+u.v[I(u.d,i,j+1)]+u.v[I(u.d,i+1,j+1)])/4;
}
}
__global__ void suma(Grid u, Grid v)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j = blockIdx.y * blockDim.y + threadIdx.y;
__shared__ float bv[BLOCK_DIM][BLOCK_DIM];
if(i<u.d && j<u.d)
{
bv[threadIdx.x][threadIdx.y]=v.v[I(u.d,i,j)];
}
__syncthreads();
if(i<u.d && j<u.d)
{
u.v[I(u.d,i,j)]+=bv[threadIdx.x][threadIdx.y];
}
}
__global__ void maxx(Grid d,float * def)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
int j;
def[i]=0.0;
for(j=0;j<d.d;j++)
{
if(abs(d.v[I(d.d,i,j)])>def[i])
{
def[i]=abs(d.v[I(d.d,i,j)]);
}
}
}
|
4,481 | #include "includes.h"
__device__ void OFConvertXY2AngleSize (float*of, int id, int imageSize, float& of_size, float& of_angle){
float2 OF_value;
OF_value.x = of[id];
OF_value.y = of[id+imageSize];
of_size = (float) sqrt( (OF_value.x+OF_value.y) * (OF_value.x+OF_value.y) ); // normalized to be <0,1>
of_angle = (float) atan2(OF_value.x,OF_value.y); // <-PI;PI>
}
__global__ void OFConvert2AngleSize (float*of, int imageSize){
int id = blockDim.x*blockIdx.y*gridDim.x
+ blockDim.x*blockIdx.x
+ threadIdx.x;
float OF_size;
float OF_angle;
if (id<imageSize){
OFConvertXY2AngleSize(of,id,imageSize,OF_size,OF_angle);
of[id] = OF_angle;
of[id+imageSize] = OF_size;
}
} |
4,482 | // test calling kernels from different threads, in parallel (can be different kernels, or same. either way, should work, not crash :-) )
#include <iostream>
#include <memory>
#include <cassert>
#include <sstream>
using namespace std;
#include <cuda.h>
// const int N = 1024;
int main(int argc, char *argv[]) {
cudaDeviceProp prop;
cudaGetDeviceProperties(&prop, 0);
cout << "maxworkgroupsize " << prop.maxThreadsPerBlock << endl;
size_t free;
size_t total;
cuMemGetInfo(&free, &total);
cout << "free " << free << " total " << total << endl;
return 0;
}
|
4,483 | #include <iostream>
#include <math.h>
#include <algorithm>
#include <thrust/host_vector.h>
#include <thrust/device_vector.h>
#include <thrust/sort.h>
#include <thrust/adjacent_difference.h>
#include <thrust/generate.h>
#include <thrust/unique.h>
#include <thrust/scan.h>
#include <thrust/transform_reduce.h>
#include <thrust/transform.h>
#include <thrust/binary_search.h>
#include <thrust/functional.h>
#include <thrust/inner_product.h>
#define SITES 10
#define MAX_MEASUREMENT 8
unsigned int TotalRain ( thrust::device_vector<unsigned int>& M) {
// Sum up all elements
return thrust::reduce ( M.begin(), M.end() );
}
unsigned int TotalDaysRainInSite ( thrust::device_vector<unsigned int>& S,
const unsigned int Site) {
// Count occurrences of Site in S
return thrust::count ( S.begin(), S.end(), Site );
}
unsigned int TotalSites ( thrust::device_vector<unsigned int>& S) {
// Sort by Sites
thrust::sort ( S.begin(), S.end() );
// Count unique elements in S
return thrust::distance( S.begin(), thrust::unique ( S.begin(), S.end() ) );
}
struct find_rain_by_site {
const unsigned int site;
find_rain_by_site(int _site) : site(_site) {}
__host__ __device__
int operator()(const int& sites, const int& measurements) const {
if (sites == site) return measurements; else return 0;
}
};
unsigned int TotalRainIN ( thrust::device_vector<unsigned int>& S,
thrust::device_vector<unsigned int>& M,
const unsigned int St) {
// if (S(i) != St) M(i)=0;
thrust::transform(S.begin(), S.end(), M.begin(), M.begin(), find_rain_by_site(St));
// Reduce
return thrust::reduce(M.begin(), M.end());
}
struct find_rain_by_days {
const int start, end;
find_rain_by_days(int _start, int _end) : start(_start), end(_end) {}
__host__ __device__
int operator()(const int& day, const int& measurement) const {
if ((start<=day) && (day<=end)) return measurement; else return 0;
}
};
unsigned int TotalRainBetween ( thrust::device_vector<unsigned int>& D,
thrust::device_vector<unsigned int>& M,
const unsigned int Start, const unsigned int End) {
// if !(Start < D(i) < End) M(i)=0;
thrust::transform(D.begin(), D.end(), M.begin(), M.begin(), find_rain_by_days(Start, End));
// Reduce
return thrust::reduce(M.begin(), M.end());
}
unsigned int TotalDaysWithRain ( thrust::device_vector<unsigned int>& D) {
// Count unique elements in D
return thrust::distance( D.begin(), thrust::unique ( D.begin(), D.end() ) );
}
struct greater_than_ten {
__host__ __device__
bool operator () ( const int x ) {
return x > 10;
}
};
unsigned int TotalDaysRainHigher( thrust::device_vector<unsigned int>& D,
thrust::device_vector<unsigned int>& M,
const unsigned int Min) {
// Merges elements in M using D as key. If values in D identical, merge.
// Example
// D = 1 1 2 3 3 4
// M = 2 7 4 9 12 3
// D* = 1 2 3 4
// M* = 9 4 21 3
thrust::pair<thrust::device_vector<unsigned int>::iterator, thrust::device_vector<unsigned int>::iterator> new_end = thrust::reduce_by_key(D.begin(), D.end(), M.begin(), D.begin(), M.begin());
if(Min == 10) {
// Count elements in D* that are greater than ten
return thrust::count_if(M.begin(), new_end.second, greater_than_ten());
} else {
// ...
}
return 0;
}
bool Option ( char o, thrust::device_vector<unsigned int>& Days,
thrust::device_vector<unsigned int>& Sites,
thrust::device_vector<unsigned int>& Measurements)
{
switch (o) {
case '0': std::cout << "Total Rainfall is " << TotalRain( Measurements ) << std::endl; break;
case '1': std::cout << "Total number of Days with any Rainfall in Site 3: "
<< TotalDaysRainInSite ( Sites, 3 ) << std::endl; break;
case '2': std::cout << "Total Sites with rain: " << TotalSites ( Sites ) << std::endl; break;
case '3': std::cout << "Total Rainfall in Site 7 is " << TotalRainIN ( Sites, Measurements, 7 )
<< std::endl; break;
case '4': std::cout << "Total Rainfall between days 7 and 77 is "
<< TotalRainBetween ( Days, Measurements, 7, 77 ) << std::endl; break;
case '5': std::cout << "Total number of Days with any rainfall: "
<< TotalDaysWithRain ( Days ) << std::endl; break;
case '6': std::cout << "Number of Days where Rainfall exceeded 10 is "
<< TotalDaysRainHigher ( Days, Measurements, 10 ) << std::endl; break;
default: return false;
}
return true;
}
struct rand_modulus {
unsigned int N;
rand_modulus(unsigned int _NN) : N(_NN) {}
__host__ __device__
unsigned int operator()() const {
return rand() % N;
}
};
struct is_equal {
__host__ __device__
unsigned int operator() ( const unsigned int& d, const unsigned int& s ) {
return d==s? 1: 0;
}
};
struct get_site {
__host__ __device__
unsigned int operator() ( const unsigned int& v ) {
return v % SITES;
}
};
struct get_day {
__host__ __device__
unsigned int operator() ( const unsigned int& v ) {
return v / SITES;
}
};
unsigned int rand_mes() {
return (unsigned int) pow( 2.0, ((double) (rand() % 100000)) / (100000 / MAX_MEASUREMENT) );
}
int main (int argc, char **argv)
{
unsigned int N=20;
char o= '1';
int Dup = -1;
if (argc>1) { o = argv[1][0]; }
if (argc>2) { N = atoi(argv[2]); }
if (o == 'H' || o == 'h') {
std::cout << "Arguments: (H|1|2|3|4|5|6) N " << std::endl;
exit(0);
}
// use this host vector to generate random input data
thrust::host_vector<unsigned int> HDay(N);
thrust::host_vector<unsigned int> HMes(N);
srand(0); // init random generation seed: same random numbers generated in each execution
// Generate Information sorted by (increasing) day and site, and with no duplicates (day, site)
thrust::generate ( HDay.begin(), HDay.end(), rand_modulus(N*SITES) );
thrust::generate ( HMes.begin(), HMes.end(), rand_mes );
// Create Device vectors and copy data from host vectors
thrust::device_vector<unsigned int> Days = HDay;
thrust::device_vector<unsigned int> Measurements= HMes;
thrust::device_vector<unsigned int> Sites(N);
// Sort data and modify to avoid duplicates ( only works fine if SITES=10 )
thrust::sort ( Days.begin(), Days.end() );
do {
Dup++;
thrust::transform ( Days.begin(), Days.end()-1, Days.begin()+1, Sites.begin(), is_equal() );
thrust::transform ( Days.begin()+1, Days.end(), Sites.begin(), Days.begin()+1, thrust::plus<unsigned int>() );
} while (thrust::reduce ( Sites.begin(), Sites.end()-1 ) > 0);
thrust::transform ( Days.begin(), Days.end(), Sites.begin(), get_site() );
thrust::transform ( Days.begin(), Days.end(), Days.begin(), get_day() );
if (Dup >0)
std::cout << "Phases to extract duplicates during generation: " << Dup << std::endl << std::endl;
if ( N<=20 ) { // for small cases: print contains of input vectors
std::cout << "Days: ";
thrust::copy( Days.begin(), Days.end(), std::ostream_iterator<unsigned int>( std::cout, ", " ));
std::cout << std::endl << "Sites: ";
thrust::copy( Sites.begin(), Sites.end(), std::ostream_iterator<unsigned int>( std::cout, ", " ));
std::cout << std::endl << "Measurements: ";
thrust::copy( HMes.begin(), HMes.end(), std::ostream_iterator<unsigned int>( std::cout, ", " ));
std::cout << std::endl;
}
// create device vectors and copy data from host vectors
Option ( o, Days, Sites, Measurements);
return 0;
}
|
4,484 | #include <iostream>
#include <cstdlib>
#include <math.h>
#include <stdio.h>
#include <assert.h>
#include <fstream>
#include <time.h>
#include <stdlib.h>
#define TILE_WIDTH 16
#define maskCols 5
#define maskRows 5
#define FH 21
#define FW 21
#define TW 32
#define TH 32
// Max 1024 Threads per Block
#define BH 32
#define BW 32
#define DIV_RUP(x, y) ((x + y - 1) / y)
#define indexToOffset(x, y, channel, heightOffset, widthOffset, w, h) ((channel * h * w) + (heightOffset + y) * w + widthOffset + x)
#define pixel_x(blockWidth, blockWidthOffset, x) ((blockWidth * blockWidthOffset) + x)
#define pixel_y(blockHeight, blockHeightOffset, y) ((blockHeight * blockHeightOffset) + y)
#define shmem_offset(x_offset, y_offset, x, y, pTW, pw, ph) (((y_offset + y + ph) * pTW + (x_offset + x + pw)))
void fillImage(double* image, int c, int h, int w) {
for (int i = 0; i < c; i++) {
for (int j = 0; j < h; j++) {
for (int k = 0; k < w; k++) {
image[i * h * w + j * w + k] = i * (j + k);
}
}
}
}
__global__ void cudaMaxPool(double* gOutImage, double* gImage, int c, int h, int w, int fw, int fh, int s) {
// Tile size
int tw = blockDim.x;
int th = blockDim.y;
// Padded tile size
int pTW = tw + fw - 1;
int pTH = th + fh - 1;
extern __shared__ double shmem[];
// Tile offsets in image. Without Padding
int tileWidthOffset = tw * blockIdx.x;
int tileHeightOffset = th * blockIdx.y;
int channel = blockIdx.z;
for(int x = threadIdx.x; x < pTW; x += tw) {
int copy_x = x - fw/2 + tileWidthOffset;
for(int y = threadIdx.y; y < pTH; y += tw) {
int copy_y = y - fh/2 + tileHeightOffset;
// int shmem_idx = shmem_offset(0, 0, x, y, pTW, 0, 0);
int index = y * pTW + x;
if (copy_x < 0 || copy_x >= w || copy_y < 0 || copy_y >= h) {
shmem[index] = 0;
}
else {
shmem[index] = gImage[indexToOffset(copy_x, copy_y, channel, 0, 0, w ,h)];
}
}
}
__syncthreads();
// Pixel this thread is responsible for
int widthOffset = tileWidthOffset + threadIdx.x;
int heightOffset = tileHeightOffset + threadIdx.y;
if (widthOffset < 0 || widthOffset >= w || heightOffset < 0 || heightOffset >= h) {
return;
}
double maxValue = shmem[shmem_offset(threadIdx.x, threadIdx.y, 0, 0, pTW, fw/2, fh/2)];
for (int x = -fw/2; x <= fw/2; x+=s) {
for (int y = -fh/2; y <= fh/2; y+=s) {
double value = shmem[shmem_offset(x, y, threadIdx.x, threadIdx.y, pTW, fw/2, fh/2)];
if (value > maxValue) {
maxValue = value;
}
}
}
gOutImage[indexToOffset(0, 0, channel, heightOffset, widthOffset, w, h)] = maxValue;
}
void MP(double* out, double* in, int c, int h, int w, int fw, int fh, int s, float & gpu_elapsed_time_ms) {
long int imageSize = sizeof(double) * c * w * h;
// double* cImage = (double*) malloc(imageSize);
double* cImage = in;
double* gImage;
long int outImageSize = sizeof(double) * c * w * h;
// double* cOutImage = (double*) malloc(outImageSize);
double* cOutImage = out;
double* gOutImage;
cudaMalloc((void**) &gImage, imageSize);
cudaMalloc((void**) &gOutImage, outImageSize);
cudaMemset((void*) gOutImage, 0, outImageSize);
// fillImage(cImage, c, h, w);
cudaMemcpy (gImage, cImage, imageSize, cudaMemcpyHostToDevice);
// dim3 simpleGrid(C, DIV_RUP(H, BH), DIV_RUP(W, BW));
// dim3 simpleBlock(BH, BW);
// if(clock_gettime(CLOCK_MONOTONIC, &start))
// { printf("CLOCK ERROR. Exiting.\n"); std::exit(EXIT_FAILURE); }
// cudaMaxPoolSimple<<<simpleGrid, simpleBlock>>>(gOutImage, gImage, c, h, w, fw, fh);
// if(clock_gettime(CLOCK_MONOTONIC, &end))
// { printf("CLOCK ERROR. Exiting.\n"); std::exit(EXIT_FAILURE); }
// CUDA_CALL(cudaGetLastError());
// printf("Time cuda code %lf sec\n", TimeSpecToSeconds(&end) - TimeSpecToSeconds(&start));
int shmem_size = sizeof(double) * (TW + FW - 1) * (TH + FH - 1);
dim3 blockDim(TW, TH);
dim3 gridDim(DIV_RUP(w, TW), DIV_RUP(h, TH), c);
cudaEvent_t start, stop;
cudaEventCreate(&start);
cudaEventCreate(&stop);
cudaEventRecord(start, 0);
cudaMaxPool<<<gridDim, blockDim, shmem_size>>>(gOutImage, gImage, c, h, w, fw, fh, s);
cudaMemcpy(cOutImage, gOutImage, outImageSize, cudaMemcpyDeviceToHost);
cudaEventRecord(stop, 0);
cudaEventSynchronize(stop);
cudaEventElapsedTime(&gpu_elapsed_time_ms, start, stop);
free(cImage);
free(cOutImage);
cudaFree(gImage);
cudaFree(gOutImage);
}
int main(){
// number of instances of data generated
int NUM = 500;
std::ofstream ofile;
// customize output filename
ofile.open("max_pooling_gpu_500_points_Tesla_2.csv");
for (int iterator = 0; iterator < NUM; iterator++) {
if (iterator % 10 == 0) std::cout << "iter: " << iterator << std::endl;
double *in, *out;
int m = rand() % 1024 + 5;
int n = rand() % 1024 + 5;
int is = n * m;
int r = rand() % 4 + 2;
int s = rand() % 2 + 1;
in = new double[is];
out = new double[is];
// density
int power;
double d;
power = rand() % int((log2(double(m * n)) + 1));
d = 1 / pow(2, power);
// initialize matrix A
// if A is a sparse matrix
if (d <= 0.5) {
int count_a = m * n * d;
for (int it = 0; it < count_a; it++) {
int i = rand() % m;
int j = rand() % n;
in[i * n + j] = rand() % 1024 + 1;
}
}
// if A is a dense matrix
else {
for (int i = 0; i < m * n; i++) {
in[i] = rand() % 1024 + 1;
}
}
float time;
// perform kernel operation
MP(out, in, 1, n, m, r, r, s, time);
int c = ceil((double)n/s)*r*r*ceil((double)m/s);
ofile << time / 1000;
ofile << "," << m << "," << n << "," << r << "," << s << "," << d << "," << c << ",\n";
}
ofile.close();
return 0;
} |
4,485 | #include "includes.h"
__global__ void attentionKernel(float *x, int rows, int cols) {
int j = blockIdx.x * blockDim.x + threadIdx.x;
if (j >= cols) return;
float sum = 0;
for (int k = 0; k < rows; k++) {
sum += x[k * cols + j];
}
for (int k = 0; k < rows; k++) {
x[k * cols + j] *= sum;
}
} |
4,486 | #include <stdio.h>
__global__ void add_2d_numbers(int *d_out,int *d_in)
{
int row = blockIdx.y * blockDim.y + threadIdx.y;
int col = blockIdx.x * blockDim.x + threadIdx.x;
int index = row * col + row;
if(index == 8){
printf("Checkpoint!\n");
}
d_out[index] = d_in[index];
}
void call_2d_parallel_computing(void)
{
const int N_ROWS = 5;
const int N_COLS = 5;
const int BYTES_SIZE = N_ROWS * N_COLS * sizeof(int);
// Define Host matrix
int h_2d_in[N_ROWS][N_COLS];
int h_2d_out[N_ROWS][N_COLS];
for(int i = 0; i < N_ROWS;i++)
{
for(int j = 0; j < N_COLS;j++)
{
h_2d_in[i][j] = i + j;
printf("%d ",i + j);
}
printf("\n");
}
printf("\n");
// Define device matrix
int * d_2d_in;
int * d_2d_out;
cudaMalloc((void **) &d_2d_in,BYTES_SIZE);
cudaMalloc((void **) &d_2d_out,BYTES_SIZE);
cudaMemcpy(d_2d_in,h_2d_in,BYTES_SIZE,cudaMemcpyHostToDevice);
dim3 dimBlock(N_ROWS,N_COLS);
dim3 dimGrid(1,1);
add_2d_numbers<<<dimGrid,dimBlock>>>(d_2d_out,d_2d_in);
cudaMemcpy(h_2d_out,d_2d_out,BYTES_SIZE,cudaMemcpyDeviceToHost);
printf("Result : \n" );
for(int i = 0 ; i < N_ROWS;i++)
{
for(int j = 0 ; j < N_COLS;j++)
{
printf("%d ",h_2d_out[i][j]);
}
printf("\n");
}
printf("\n");
cudaFree(d_2d_in);
cudaFree(d_2d_out);
}
int main(int argc,char ** argv)
{
call_2d_parallel_computing();
return 0;
}
|
4,487 | float h_A[]= {
0.7175049743623347, 0.7483295476728882, 0.5428045722921292, 0.6670388593622318, 0.8285250757988448, 0.6493922330544046, 0.9155831240661374, 0.5175069123492884, 0.7144072115954666, 0.8263031546197478, 0.7624806464646448, 0.9122238073039419, 0.5566906615344596, 0.8168905807336863, 0.6933761370918536, 0.8395397054923843, 0.8033347649131046, 0.9941032741599793, 0.7742898730965164, 0.7870283077556541, 0.7673346013702567, 0.5769613471735737, 0.5738554351773941, 0.9939341868842451, 0.7799700014781104, 0.6814291040536089, 0.6714052283275981, 0.8774744357242918, 0.7024670328536721, 0.8045429947352749, 0.5769122826992121, 0.9777938420156224, 0.5937074023708211, 0.8286152802298441, 0.7650014261108503, 0.8929116643934834, 0.9410130293220881, 0.9891729316565442, 0.9817416845398415, 0.8830830552694126, 0.8134548183522272, 0.5314132914925039, 0.9810008198757578, 0.70572108492611, 0.5139436081367416, 0.5314311730571363, 0.9311131260820702, 0.7196725611869096, 0.7147502373185421, 0.8797002950296562, 0.8642699279375733, 0.5862109957132438, 0.9767298402817426, 0.5013217469795739, 0.9706521527934112, 0.7578632639753504, 0.7315584410769278, 0.9177498031306632, 0.6479141148218037, 0.5249262177376186, 0.5538981159995084, 0.8617596047073285, 0.5861942430635054, 0.6500747778165836, 0.7951722519661015, 0.5493490472227096, 0.8163500530570433, 0.912325687539941, 0.9820644411813464, 0.5657051815243339, 0.5138839480921523, 0.8826636504434808, 0.6663946666020875, 0.5038093310152814, 0.6493543396457044, 0.759386096090106, 0.6937557980029705, 0.8613649332807252, 0.9368177629965486, 0.9249213283655325, 0.5369637236706578, 0.8433307098361942, 0.7692938546744861, 0.9954228032712307, 0.7905907651739529, 0.8668570208651423, 0.7601528897475356, 0.9845661760121813, 0.7369202598469778, 0.6165134229820441, 0.7234416032607325, 0.8502648004612344, 0.8724870591921792, 0.7709651062409866, 0.558198557942287, 0.8977255395511201, 0.8889499830154203, 0.5701917992687124, 0.7554781816275644, 0.5953613547860896, 0.9796824676982792, 0.7281405531166179, 0.9494958059277303, 0.7828436297295336, 0.9830261904762756, 0.7307054242652655, 0.6682378749952345, 0.9793992597131692, 0.6820986459541211, 0.9378306758357847, 0.508093650074964, 0.7487797253077175, 0.6182510432722995, 0.5643877925169976, 0.625274773134032, 0.8408833108631155, 0.7768001990882476, 0.8845791088186201, 0.7807379197439666, 0.8783146131963451, 0.6532335322235417, 0.6161001105283774, 0.635087698565751, 0.9600892442603386, 0.6116721753435643, 0.6252979884438084, 0.8837417264202989, 0.8442385902436769, 0.5414256005141584, 0.685889206934632, 0.9033746724099666, 0.7876143894608625, 0.7037993683222312, 0.7687455214370533, 0.7461391437801412, 0.8933959699374662, 0.7639035809373022, 0.9057501353466801, 0.8312658321929823, 0.9419822773300106, 0.6161201027145985, 0.9927409526811327, 0.9306612696201013, 0.8603789778155553, 0.6124688912804437, 0.869129383064396, 0.9122000852018062, 0.5681157443004359, 0.9748988939052683, 0.9114554697381612, 0.6918164670784539, 0.7899732821289123, 0.9023764376284498, 0.7719162680121916, 0.6562876429840578, 0.562240461689329, 0.709946990925238, 0.5538049440387958, 0.7758888223511162, 0.8373510051770181, 0.8646231948847161, 0.820356465782869, 0.9350557319129418, 0.8394144817387159, 0.9977296856553373, 0.7840380670609457, 0.8105234427374122, 0.7437132219084173, 0.6783428765147859, 0.546607960797175, 0.9885389860145156, 0.8063298224739776, 0.687175865573554, 0.6000481233632222, 0.7568343096854063, 0.9044337343691745, 0.6615939718093461, 0.6380093737651071, 0.6990238507534235, 0.8160095581872466, 0.8385853606436432, 0.8629413055597112, 0.5107350105503465, 0.6312070654603079, 0.9820733064941537, 0.5227133030856335, 0.7040240602876442, 0.605160134986669, 0.886725260779536, 0.6412641050414196, 0.7234382961166687, 0.6807040170143226, 0.5596514706490721, 0.8878583353275754, 0.7616923517398573, 0.6157467623001187, 0.5393448546810748, 0.80528150598235, 0.8992462596802366, 0.8813947430826625, 0.8235018717592513, 0.9435712522639765, 0.5278177667291167, 0.5878938541203524, 0.8252227102833165, 0.7041544300947209, 0.7320694319060471, 0.6716748310014393, 0.6809079227932331, 0.8576255866003155, 0.7596863546532289, 0.8898858402084153, 0.532722160160641, 0.963421275120853, 0.6664793029771361, 0.5417125114487675, 0.759428088181401, 0.5710879176916852, 0.5328935155949841, 0.6543138231277239, 0.5069073223272444, 0.9022298759578964, 0.8286833812838779, 0.6803512526435467, 0.5973966449252462, 0.7073522374428227, 0.5133318608626939, 0.7315184133850601, 0.8432620635287341, 0.9049121483497172, 0.8318095289399634, 0.9026618189927469, 0.6420833615107415, 0.9994597892129664, 0.617270934565862, 0.5263116225733089, 0.6786285820933046, 0.7835775336832631, 0.8300036415934484, 0.592353782128615, 0.5657998624689723, 0.8625412727685493, 0.7631865210445816, 0.7210754865124193, 0.6086667174931063, 0.7385750183909484, 0.920989447364617, 0.94739538918244, 0.6855098253290155, 0.9343211030413223, 0.5493828913973317, 0.5310448272026687, 0.9009663222278717, 0.7869293956416037, 0.5900925683418661, 0.8385620086692027, 0.7932993354385146, 0.5299737440855232, 0.9196170421922958, 0.6558905671450281, 0.8656626448607085, 0.5027122782652429, 0.7366020784814247, 0.6655989049899537, 0.6372782040816614, 0.8859886166595796, 0.5062947603356658, 0.7327567125061054, 0.8850052277110629, 0.5647387676513849, 0.5963841494889127, 0.9060854867162725, 0.9166426088404747, 0.673022107739839, 0.5416696342938154, 0.5831003726939399, 0.8272720683126304, 0.944026928918944, 0.9109686909633957, 0.7147974869008538, 0.5825293817589708, 0.9724077581654852, 0.9485523147886157, 0.6287315124101525, 0.7700442647127689, 0.5209166191356271, 0.5193350166049711, 0.6458388115855724, 0.9987572403319077, 0.6350924079879765, 0.831849668083315, 0.6750287308727874, 0.7967959702799643, 0.894115199675573, 0.658030849082638, 0.9545717516881893, 0.8710326220369058, 0.721515880841148, 0.6984331129268149, 0.5653054189829718, 0.815756265097344, 0.7760842554115608, 0.8895647446995394, 0.9977935828790359, 0.5897241716307271, 0.9949236196766181, 0.92753081222319, 0.6853273027621664, 0.5634366839955158, 0.770503701790801, 0.5647916231445753, 0.830501580551152, 0.7295982005063606, 0.620210763689558, 0.839370767957761, 0.8110668147591117, 0.5885117268521713, 0.9079035820954013, 0.848010784932944, 0.5861117069774286, 0.9711812608601524, 0.8350727902796424, 0.8970020026716459, 0.9225997430138331, 0.6973010393622734, 0.9315739888406733, 0.7459221360697157, 0.6133229159696165, 0.9044214366240093, 0.8264688721486457, 0.7200759232117373, 0.5377806242551253, 0.9061159336796546, 0.814628149989443, 0.5771589351457149, 0.7590412505272548, 0.5400821407167455, 0.6035577001353102, 0.8616924443817809, 0.8084092807811845, 0.8268654638680732, 0.515455017127314, 0.6588949082639428, 0.666586640816452, 0.8129506705897591, 0.9152114880141494, 0.8538569643921092, 0.8818942623454151, 0.7470907519257488, 0.8013355615892588, 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0.8467455984797989, 0.896549339889776, 0.6669288245133367, 0.7212484650603225, 0.6215986100123481, 0.6454031947913343, 0.9682955548864891, 0.6645712604931293, 0.663061184146073, 0.6879227096452558, 0.8893045607909527, 0.6918347601611998, 0.718874237050344, 0.7170744322668204, 0.9266457364640908, 0.6648140609037345, 0.5613284324301513, 0.6966411963937653, 0.8460904481630513, 0.739592525770473, 0.6970233103754411, 0.7791381561353667, 0.5452501057362795, 0.8186900413852012, 0.5272323129378986, 0.8399320293997783, 0.9796375756990707, 0.7952095396443757, 0.798401405719408, 0.9314878077796653, 0.5960148391749803, 0.5900768312339093, 0.5116196464613243, 0.7726322299207953, 0.8959085868747678, 0.6600348343393145, 0.7713417789156092, 0.9178806511047147, 0.6776629075706067, 0.5424048470261353, 0.9446435821224528, 0.809291715618141, 0.6609481671457218, 0.6701550770981094, 0.7366963063825851, 0.7358670240524675, 0.9402398759264472, 0.8883105212949844, 0.5767489068783174, 0.8252968756736643, 0.5543768874781556, 0.7955125789309502, 0.5849021489259048, 0.7544769073707238, 0.6712448881885786, 0.8925486823602715, 0.7165697164072855, 0.89962582211716, 0.7114949402208695, 0.9255693523855371, 0.7763465960183871, 0.618450351181935, 0.7790208386320476, 0.5352202745711507, 0.9891704145525944, 0.6624294634369445, 0.5563976692071078, 0.8882724792281421, 0.9407512647619354, 0.8314322984636187, 0.7807162869160427, 0.6173605711469301, 0.8879770284960171, 0.886161553238737, 0.706173763979181, 0.5748288568455264, 0.897097308546642, 0.6434027726247901, 0.74760194156338, 0.7920322729796607, 0.8555441361438446, 0.6167779623805374, 0.5261916729697578, 0.7616086480511656, 0.5516801142538106, 0.5368518436001746, 0.9098265251701911, 0.7198986338667326, 0.6399799246270028, 0.6640507012194743, 0.8100597413610224, 0.9947068832545278, 0.7707026884031236, 0.9814662478819047, 0.9890101565786802, 0.8937033933251552, 0.9140219134505654, 0.6216556903657474, 0.7557301924469492, 0.9153055653587335, 0.754516446379301, 0.9774686853543858, 0.7502076482947491, 0.6146817991189966, 0.8830231807869793, 0.9646678134010758, 0.5453158678931883, 0.9157895747562862, 0.7622706910881434, 0.8822423893820512, 0.7164041767939908, 0.8655201616946835, 0.9957172073748555, 0.8184460016840276, 0.8085726609681312, 0.8231370182294477, 0.7726921422239639, 0.5589558487777035, 0.6397519476693545, 0.7651546672729788, 0.6078722209659344, 0.9183875427252378, 0.7862335529028825, 0.8891440159290445, 0.6109661589176987, 0.5365729638518577, 0.6404742572050899, 0.6535953300698574, 0.9676552153095836, 0.9215965981347031, 0.515760110225036, 0.718719823205925, 0.7032753370882583, 0.8551322264716803, 0.7366194035228892, 0.6348135258314045, 0.8283655456532653, 0.9006641899695829, 0.6778397601632018, 0.7322981916569187, 0.7145708542796585, 0.5009851812980679, 0.6676270139881939, 0.6472400057914102, 0.5448059511730533, 0.7682722552757896, 0.7686198830087784, 0.6437274479983579, 0.546644571050813, 0.8022601756921321, 0.5540078581040906, 0.5404803357646176, 0.7930622251001478, 0.9973481352761929, 0.786947871300294, 0.6142307428501093, 0.6205262213662558, 0.6200311119376098, 0.6925347787515862, 0.7463768403961208, 0.9157854106712157, 0.9841070054436734, 0.9046146604123131, 0.8672897415190852, 0.5084601648460894, 0.7625073873469459, 0.8324163747021962, 0.5016499286556593, 0.7240576909173986, 0.5351328689291761, 0.7039042594421585, 0.5412681226663529, 0.7480069391528494, 0.614210766642989, 0.9476529967175451, 0.8911185656182008, 0.5208899659267474, 0.7926277027706221, 0.7897548702533355, 0.6974942145350399, 0.6482394019896965, 0.8338332201828214, 0.9646873368039379, 0.8015251365237392, 0.9233765691926299, 0.6185958025097656, 0.5481499384890696, 0.8296296772151147, 0.6893248659811981, 0.5317261728594251, 0.5458295671561957, 0.8437852024002674, 0.5101631307839003, 0.9326903057353478, 0.9557010368456083, 0.8803604106693255, 0.9042539793946862, 0.5221755262011514, 0.6911902803527633, 0.8633256026710845, 0.9759611541288452, 0.9831686895499968, 0.7726740314507103, 0.5359662365924959, 0.7049292019033488, 0.6159252589704116, 0.5188457977391356, 0.8053665190474937, 0.9822761001453222, 0.712909072782901, 0.7761031219313634, 0.990773681066657, 0.8674799938990794, 0.6740226993512959, 0.6879771168920681, 0.6963561987900253, 0.7418000289018154, 0.7024923243730755, 0.5953431081121066, 0.5851970119943858, 0.6255737677224071, 0.9312029668216117, 0.5948614887303092, 0.5828680610490713, 0.8555473663016062, 0.7873037490485959, 0.6557701870796334, 0.9684821035100158, 0.6079909040684202, 0.9327884268882946, 0.5911808911696887, 0.7605652872617463, 0.9926874369689922, 0.7898819983354092, 0.6356283278357446, 0.7059572460867527, 0.6278501066064799, 0.8424170151022313, 0.5186360410010542, 0.6136251361655191, 0.9457399443190431, 0.6253177657041136, 0.6462976828049336, 0.8366581547266769, 0.8951790282638051, 0.9896551643612765, 0.7858358378929504, 0.993063504185514, 0.6329370916428947, 0.7110768481169445, 0.562755850540752, 0.6172365606427809, 0.5138968216438502, 0.9312926525754174, 0.5564187639649898, 0.5993202917892867, 0.6052324986105493, 0.9071351594473988, 0.5349240051410104, 0.9683161081110236, 0.7815010555708877, 0.7589471296384135, 0.9608367523426091, 0.9811818628886728, 0.6202256428942371, 0.6347571902825007, 0.5696325650429657, 0.6958469660606633, 0.5508213126910059, 0.8600525533497847, 0.6303833962634704, 0.8271573907313883, 0.5802147758369782, 0.511374086216662, 0.935193037408419, 0.6460842197623998, 0.7228526364189263, 0.899147928972994, 0.5708548227700966, 0.5352737074126583, 0.6494057328991445, 0.731492883140168, 0.6622207754544218, 0.5026748339869939, 0.7861407625440129, 0.7895144859985515, 0.5668122641259743, 0.5194209504621901, 0.7664936440772383, 0.6895681728682042, 0.5471113079675233, 0.5697905974943365, 0.9654621412877444, 0.6117534747774322, 0.5195230510250107, 0.5029874549497909, 0.6436230566901067, 0.7814019757174042, 0.7243115146159262, 0.8490022959549282, 0.5986087210572619, 0.8917653315595842, 0.8186740951384265, 0.6557207833538385, 0.7383517661652084, 0.5076593667567217, 0.8351509540790598, 0.9066154116110787, 0.8633966120608996, 0.5448011348714983, 0.8811262486064548, 0.5311062494107786, 0.8434152015057589, 0.7587715892859013, 0.6525977108705863, 0.8709010148712284, 0.9902567437643712, 0.6363651362541571, 0.93154565323665, 0.6673336659816802, 0.6363488918779094, 0.5398241942834009, 0.7914814885511636, 0.9529666873959003, 0.564045965681691, 0.6382659091632683, 0.7805351222831617, 0.7733886221614187, 0.5241008399449433, 0.611945308809795, 0.6169907785866606, 0.6385936386173398, 0.7841750718670859, 0.7173238321530276, 0.7367928171908347, 0.6265166185554858, 0.6483108410096134, 0.9089151560803901, 0.6335384299494107, 0.8466095418964659, 0.636736467136152, 0.7789681772250416, 0.9077504496156267, 0.6867613895975948, 0.8301847995782373, 0.7681290610779284, 0.8055269135501388, 0.509034281413844, 0.5060145402076777, 0.9531102781357583, 0.6049030717098274, 0.6978487916911934, 0.7108004718191071, 0.939874195247411, 0.592163166813884, 0.6911488424262666, 0.6024932357446733, 0.5784406533904147, 0.7248755260288222, 0.8132232450347373, 0.5497978515691366, 0.6422827817500908, 0.5623109553041825, 0.7026465582885555, 0.6835431097023816, 0.8280875424648927, 0.5697242233141735, 0.8156284418986919, 0.5454630115116291, 0.7460605384610532, 0.5902137370746723, 0.7745159125590151, 0.6547269575301189, 0.7346468747258099, 0.9460016552534074, 0.8465037831537723, 0.6581592649653958, 0.9961161028919017, 0.9616426679771357, 0.6219619779644283, 0.8905650088552008, 0.693779959860743, 0.8630066415278895, 0.6282224791138035, 0.7181170944536824, 0.716100884180571, 0.7756481074289252, 0.9142676032562131, 0.9180303779395655, 0.5432335136324105, 0.7182639917924389, 0.8153204221836884, 0.5827031352248715, 0.5463832979704049, 0.7948268737909616, 0.6598653129414418, 0.7845986404426359, 0.7420335255239141, 0.9385969458853061, 0.6671326457500286, 0.6998412684827398, 0.9868858054402161, 0.8786467710924218, 0.7726528808366292, 0.5025826296328212, 0.8629287020940559, 0.768810976141887, 0.7143246919991757, 0.5711739798143532, 0.7403205840894782, 0.6027968963707016, 0.6175212302157366, 0.895600718676384, 0.6650496553531864, 0.5250917194786286, 0.6758665713113955, 0.7805817873318424, 0.6818936839385621, 0.6057482283252358, 0.6871084714045712, 0.6843923217748706, 0.9580840879847571, 0.9620823503252021, 0.9359778904131593, 0.5283872878497775, 0.6871858860380478, 0.9444190932633929, 0.9885328307628365, 0.8083797157964749, 0.9424081240545741, 0.8802440651197797, 0.784110556928838, 0.7405118236993029, 0.8360838660431231, 0.899166063131732, 0.77185218566812, 0.6062536162567856, 0.9208825384410072, 0.7634110466954283, 0.6976841175687796, 0.8327596087256153, 0.9671620346864906, 0.9686730049558581, 0.8064760176546859, 0.8111507853410636, 0.8183558206337572, 0.9303474076168086, 0.7269156219306148, 0.663924586136488, 0.5652355395972282, 0.7114783361613157, 0.9941623968973058, 0.9019171227186691, 0.5718219819754591, 0.604427496795746, 0.8175951412577782, 0.8307192547040465, 0.8351033792034779, 0.8684962626794389, 0.6539215870803055, 0.9848417146820273, 0.6531511706497632, 0.6594799796002644, 0.9779532141456241, 0.673486037170848, 0.5789477708928197, 0.6180602771363755, 0.5329323393363907, 0.8489464197755796, 0.5064534417492499, 0.8862573495967074, 0.6222412180577075, 0.6278909822734882, 0.6167278917623664, 0.7514889415570422, 0.9842393117235242, 0.7040952031606168, 0.6162300748507374, 0.5495587025920416, 0.9547786202798549, 0.8277331199332134, 0.7967722842015716, 0.9440799125798904, 0.9418650824551249, 0.7534229072756989, 0.9912622414268777, 0.8452315698593057, 0.9822508947400309, 0.5730411813614218, 0.8736561417308908, 0.9482751125132334, 0.9656610121257161, 0.5773354752984169, 0.5457123334403183, 0.7477422326987724, 0.7695973624514447, 0.9589493801559172, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0, 50000.0};
int h_B[]= {
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 53, 55, 57, 59, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 175, 177, 179, 181, 184, 186, 188, 190, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254, 256, 258, 260, 262, 264, 266, 268, 270, 272, 274, 276, 278, 280, 282, 284, 286, 288, 290, 292, 294, 296, 298, 300, 302, 304, 306, 308, 310, 312, 314, 316, 318, 320, 322, 324, 326, 328, 330, 332, 334, 336, 339, 341, 344, 346, 348, 350, 352, 354, 356, 358, 360, 362, 364, 366, 368, 370, 372, 374, 376, 378, 380, 382, 384, 386, 388, 390, 392, 394, 396, 398, 400, 402, 406, 408, 410, 412, 414, 416, 418, 420, 422, 424, 426, 428, 430, 432, 434, 436, 439, 441, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471, 473, 476, 478, 480, 482, 484, 486, 488, 490, 492, 494, 496, 498, 500, 502, 504, 506, 508, 510, 512, 514, 516, 518, 520, 522, 524, 526, 529, 531, 533, 535, 538, 540, 542, 544, 547, 549, 551, 553, 556, 558, 560, 562, 564, 566, 568, 570, 572, 574, 576, 578, 581, 583, 586, 588, 591, 593, 596, 598, 601, 603, 606, 608, 611, 613, 616, 618, 620, 622, 625, 627, 629, 631, 634, 636, 640, 642, 644, 646, 648, 650, 652, 654, 657, 659, 661, 663, 665, 667, 670, 672, 674, 676, 678, 680, 682, 684, 686, 688, 691, 693, 695, 697, 700, 702, 705, 707, 713, 715, 719, 721, 724, 726, 728, 730, 732, 734, 736, 738, 740, 742, 745, 747, 751, 753, 756, 758, 761, 763, 766, 768, 770, 772, 774, 776, 780, 782, 785, 787, 792, 794, 796, 798, 800, 802, 804, 806, 808, 810, 812, 814, 817, 819, 822, 824, 827, 829, 832, 834, 837, 839, 842, 844, 850, 852, 855, 857, 860, 862, 864, 866, 868, 870, 873, 875, 878, 880, 883, 885, 888, 890, 892, 894, 896, 898, 901, 903, 906, 908, 911, 913, 916, 918, 920, 922, 924, 926, 929, 931, 934, 936, 939, 941, 760, 755, 760, 755, 760, 755, 760, 755, 900, 915, 86, 86, 87, 87, 900, 915, 995, 997, 999, 1001, 1003, 1005, 1008, 1010, 1012, 1014, 1016, 1018, 1020, 1022, 1024, 1026, 1028, 1030, 638, 633, 638, 633, 638, 633, 928, 943, 928, 943, 1107, 1109, 1111, 1113, 1115, 1117, 1119, 1121, 1124, 1126, 1128, 1130, 1132, 1134, 1136, 1138, 1140, 1142, 1144, 1146, 1149, 1151, 1153, 1155, 791, 778, 1208, 1210, 1212, 1214, 1216, 1218, 1221, 1223, 704, 699, 704, 699, 933, 938, 933, 938, 1257, 1259, 933, 938, 1272, 1274, 1277, 1279, 1283, 1285, 1287, 1289, 1291, 1293, 1295, 1297, 1299, 1301, 1303, 1305, 887, 887, 882, 882, 1325, 1327, 1329, 1331, 1333, 1335, 1337, 1339, 1342, 1344, 1346, 1348, 1350, 1352, 1354, 1356, 1358, 1360, 595, 595, 709, 711, 750, 750, 778, 791, 778, 791, 849, 847, 849, 847, 1466, 1468, 1470, 1472, 1474, 1476, 1478, 1480, 1482, 1484, 1486, 1488, 1492, 1494, 1499, 1501, 1503, 1505, 1508, 1510, 1512, 1514, 1517, 1519, 1523, 1525, 1527, 1529, 1531, 1533, 1536, 1538, 1541, 1543, 1521, 1516, 1148, 1547, 1363, 1498, 1496, 1521, 1516, 1521, 1516, 1498, 1496, 1521, 1516, 994, 994, 1281, 1498, 1496, 1007, 1007, 1703, 1705, 1707, 1709, 1711, 1713, 1715, 1717, 1719, 1721, 1723, 1725, 1729, 1731, 1766, 1768, 1521, 1516, 1774, 1776, 1778, 1780, 1782, 1784, 1786, 1788, 1793, 1795, 1797, 1799, 1148, 1281, 1547, 1363, 1911, 1913, 1915, 1917, 1919, 1921, 1521, 1516, 1363, 1547, 1934, 1936, 1938, 1940, 1942, 1944, 1946, 1948, 1270, 1268, 1270, 1268, 1521, 1516, 1521, 1516, 1363, 2039, 2041, 2043, 2045, 1547, 2058, 2060, 1363, 2072, 2074, 1496, 1498, 1498, 1496, 1535, 1547, 1549, 2136, 2138, 2140, 2142, 2144, 2146, 2149, 2151, 2154, 2156, 2159, 2161, 2164, 2166, 2169, 2171, 2175, 2177, 2180, 2182, 2179, 2153, 2148, 2148, 2153, 2179, 2077, 2179, 2077, 2179, 2077, 2179, 2184, 2077, 2179, 2184, 2174, 2174, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 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42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8327, 8328, 7944, 8010, 8329, 7944, 8018, 8060, 8034, 8331, 8332, 8060, 8046, 8060, 8053, 8333, 8334, 8335, 8336, 8337, 8338, 8074, 8339, 8340, 8341, 8342, 8343, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8267, 8386, 8387, 8389, 8390, 8391, 8392, 8272, 8274, 8395, 8396, 8397, 8398, 8276, 8405, 8401, 8408, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8448, 8385, 8388, 8453, 8455, 8456, 8457, 8459, 8461, 8462, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8513, 8514, 8075, 8070, 8079, 8081, 8076, 8078, 8080, 8072, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8578, 8189, 8579, 8580, 8581, 8582, 8583, 8584, 8190, 8585, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8641, 8648, 8400, 8642, 8404, 8407, 8646, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8403, 8705, 8706, 8708, 8709, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8768, 8710, 8771, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8770, 8833, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8896, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8960, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63};
int h_C[]= {
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 54, 56, 58, 60, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 176, 178, 180, 182, 185, 187, 189, 191, 194, 196, 198, 200, 202, 204, 206, 208, 210, 212, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 340, 342, 345, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 391, 393, 395, 397, 399, 401, 403, 407, 409, 411, 413, 415, 417, 419, 421, 423, 425, 427, 429, 431, 433, 435, 437, 440, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499, 501, 503, 505, 507, 509, 511, 513, 515, 517, 519, 521, 523, 525, 527, 530, 532, 534, 536, 539, 541, 543, 545, 548, 550, 552, 554, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 577, 579, 582, 584, 587, 589, 592, 594, 597, 599, 602, 604, 607, 609, 612, 614, 617, 619, 621, 623, 626, 628, 630, 632, 635, 637, 641, 643, 645, 647, 649, 651, 653, 655, 658, 660, 662, 664, 666, 668, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 692, 694, 696, 698, 701, 703, 706, 708, 714, 716, 720, 722, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 746, 748, 752, 754, 757, 759, 762, 764, 767, 769, 771, 773, 775, 777, 781, 783, 786, 788, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 818, 820, 823, 825, 828, 830, 833, 835, 838, 840, 843, 845, 851, 853, 856, 858, 861, 863, 865, 867, 869, 871, 874, 876, 879, 881, 884, 886, 889, 891, 893, 895, 897, 899, 902, 904, 907, 909, 912, 914, 917, 919, 921, 923, 925, 927, 930, 932, 935, 937, 940, 942, 52, 52, 52, 52, 61, 61, 61, 61, 183, 183, 690, 723, 690, 723, 192, 192, 996, 998, 1000, 1002, 1004, 1006, 1009, 1011, 1013, 1015, 1017, 1019, 1021, 1023, 1025, 1027, 1029, 1031, 136, 136, 136, 136, 137, 137, 174, 174, 213, 213, 1108, 1110, 1112, 1114, 1116, 1118, 1120, 1122, 1125, 1127, 1129, 1131, 1133, 1135, 1137, 1139, 1141, 1143, 1145, 1147, 1150, 1152, 1154, 1156, 779, 779, 1209, 1211, 1213, 1215, 1217, 1219, 1222, 1224, 404, 404, 405, 405, 438, 438, 438, 438, 1258, 1260, 475, 475, 1273, 1275, 1278, 1280, 1284, 1286, 1288, 1290, 1292, 1294, 1296, 1298, 1300, 1302, 1304, 1306, 528, 537, 528, 537, 1326, 1328, 1330, 1332, 1334, 1336, 1338, 1340, 1343, 1345, 1347, 1349, 1351, 1353, 1355, 1357, 1359, 1361, 546, 555, 710, 710, 744, 749, 790, 779, 779, 790, 816, 816, 848, 848, 1467, 1469, 1471, 1473, 1475, 1477, 1479, 1481, 1483, 1485, 1487, 1489, 1493, 1495, 1500, 1502, 1504, 1506, 1509, 1511, 1513, 1515, 1518, 1520, 1524, 1526, 1528, 1530, 1532, 1534, 1537, 1539, 1542, 1544, 1123, 1123, 1491, 1362, 1362, 1497, 1497, 1282, 1282, 1282, 1282, 1497, 1497, 1123, 1123, 1507, 1522, 1491, 1497, 1497, 1507, 1522, 1704, 1706, 1708, 1710, 1712, 1714, 1716, 1718, 1720, 1722, 1724, 1726, 1730, 1732, 1767, 1769, 1123, 1123, 1775, 1777, 1779, 1781, 1783, 1785, 1787, 1789, 1794, 1796, 1798, 1800, 1491, 1491, 1546, 1546, 1912, 1914, 1916, 1918, 1920, 1922, 1282, 1282, 1546, 1546, 1935, 1937, 1939, 1941, 1943, 1945, 1947, 1949, 1256, 1256, 1269, 1269, 1282, 1282, 1282, 1282, 1546, 2040, 2042, 2044, 2046, 1362, 2059, 2061, 1362, 2073, 2075, 1490, 1490, 1497, 1497, 1548, 1546, 1548, 2137, 2139, 2141, 2143, 2145, 2147, 2150, 2152, 2155, 2157, 2160, 2162, 2165, 2167, 2170, 2172, 2176, 2178, 2181, 2183, 2076, 1765, 2036, 2037, 2038, 2057, 2057, 2057, 2076, 2076, 2076, 2076, 2168, 2076, 2076, 2173, 2168, 2173, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3073, 3075, 3077, 3079, 3081, 3083, 3085, 3087, 3089, 3091, 3093, 3095, 3097, 3099, 3101, 3103, 3105, 3107, 3109, 3111, 3113, 3115, 3117, 3119, 3121, 3123, 3125, 3127, 3129, 3131, 3133, 3135, 3137, 3139, 3141, 3143, 3145, 3147, 3149, 3151, 3153, 3155, 3157, 3159, 3161, 3163, 3165, 3167, 3169, 3171, 3173, 3175, 3177, 3179, 3181, 3183, 3185, 3187, 3189, 3191, 3193, 3195, 3197, 3199, 3201, 3203, 3205, 3207, 3209, 3211, 3213, 3215, 3217, 3219, 3221, 3223, 3225, 3227, 3229, 3231, 3233, 3235, 3237, 3239, 3241, 3243, 3245, 3247, 3249, 3251, 3253, 3255, 3257, 3259, 3261, 3263, 3265, 3267, 3269, 3271, 3273, 3275, 3277, 3279, 3281, 3283, 3285, 3287, 3289, 3291, 3293, 3295, 3297, 3299, 3301, 3303, 3305, 3307, 3309, 3311, 3313, 3315, 3317, 3319, 3321, 3323, 3325, 3327, 3329, 3331, 3333, 3335, 3337, 3339, 3341, 3343, 3345, 3347, 3349, 3351, 3353, 3355, 3357, 3359, 3361, 3363, 3365, 3367, 3369, 3371, 3373, 3375, 3377, 3379, 3381, 3383, 3385, 3387, 3389, 3391, 3393, 3395, 3397, 3399, 3401, 3403, 3405, 3407, 3409, 3411, 3413, 3415, 3417, 3419, 3421, 3423, 3425, 3427, 3429, 3431, 3433, 3435, 3437, 3439, 3441, 3443, 3445, 3447, 3449, 3451, 3453, 3455, 3457, 3459, 3461, 3463, 3465, 3467, 3469, 3471, 3473, 3475, 3477, 3479, 3481, 3483, 3485, 3487, 3489, 3491, 3493, 3495, 3497, 3499, 3501, 3503, 961, 962, 963, 964, 967, 968, 969, 970, 973, 974, 977, 980, 981, 982, 992, 993, 3521, 3523, 3525, 3527, 3529, 3531, 3533, 3535, 3537, 1049, 1050, 1052, 1053, 1076, 1077, 1091, 1094, 1103, 1106, 3549, 3551, 3553, 3555, 3557, 3559, 3561, 3563, 3565, 3567, 3569, 3571, 1163, 1164, 3575, 3577, 3579, 3581, 1229, 1230, 1232, 1233, 1245, 1246, 1247, 1248, 3591, 1265, 1266, 3595, 3597, 3599, 3601, 3603, 3605, 3607, 3609, 1312, 1315, 1321, 1324, 3615, 3617, 3619, 3621, 3623, 3625, 3627, 3629, 3631, 1366, 1369, 1405, 1406, 1414, 1417, 1423, 1426, 1427, 1430, 1437, 1438, 1445, 1446, 3647, 3649, 3651, 3653, 3655, 3657, 3659, 3661, 3663, 3665, 3667, 3669, 3671, 3673, 3675, 3677, 3679, 1550, 1551, 1552, 1553, 1554, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1695, 1698, 3703, 3705, 3707, 3709, 3711, 3713, 3715, 3717, 1770, 1771, 3721, 3723, 3725, 3727, 3729, 3731, 1805, 1806, 1909, 1910, 3737, 3739, 3741, 1925, 1926, 1930, 1931, 3747, 3749, 3751, 3753, 2011, 2012, 2018, 2019, 2025, 2026, 2027, 2028, 2035, 3764, 3766, 2047, 3769, 2071, 3772, 2115, 2117, 2119, 2120, 2129, 2132, 2134, 3781, 3783, 3785, 3787, 3789, 3791, 3793, 3795, 3797, 3799, 2197, 2300, 2484, 2485, 2486, 2491, 2497, 2498, 2507, 2508, 2510, 2511, 2512, 2513, 2514, 2515, 2545, 2547, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3840, 4048, 4048, 3841, 3843, 3842, 3844, 4048, 4048, 4048, 3846, 3845, 3848, 3847, 3849, 3852, 3851, 4057, 4059, 3854, 3853, 4061, 4063, 3856, 3855, 3858, 3857, 3860, 3859, 3862, 3861, 3863, 3866, 3865, 3868, 3867, 4023, 3869, 3971, 3970, 3973, 3972, 3975, 3974, 3976, 3978, 3870, 3871, 3981, 3980, 3983, 3982, 3985, 3984, 3872, 4082, 624, 4084, 3993, 3995, 3996, 3998, 3971, 3970, 3973, 3972, 3975, 3974, 3976, 3978, 3977, 3979, 3981, 3980, 3983, 3982, 3985, 3984, 3986, 624, 4086, 639, 3993, 3995, 3996, 3998, 3874, 3873, 183, 4048, 3876, 192, 3879, 3878, 3881, 3880, 3883, 3882, 183, 4048, 3885, 192, 3888, 3887, 3890, 3889, 3907, 3909, 624, 3892, 3895, 3894, 4104, 3908, 4017, 3934, 3898, 3897, 3900, 3899, 639, 3909, 3902, 3980, 3903, 3906, 3905, 3908, 3907, 3909, 3911, 3910, 3912, 3913, 3915, 3914, 624, 639, 3918, 3920, 3922, 3921, 3923, 3925, 3924, 4008, 3926, 4008, 3927, 718, 3929, 3931, 3933, 4015, 4016, 3934, 3980, 3935, 3937, 3936, 4110, 404, 4112, 405, 3939, 3938, 3941, 3940, 624, 3991, 3991, 639, 3945, 3944, 4114, 4116, 3947, 3946, 3948, 3951, 3950, 3952, 3954, 3951, 3950, 3952, 3954, 4119, 3955, 3957, 3956, 3958, 4041, 3960, 4041, 3961, 3963, 3962, 3964, 3967, 3966, 3969, 3968, 3971, 3970, 3973, 3972, 3975, 3974, 3976, 3978, 3977, 3979, 3981, 3980, 3983, 3982, 3985, 3984, 3986, 3988, 3987, 624, 3991, 3990, 639, 3993, 3995, 3996, 3998, 4000, 3999, 4008, 4001, 4008, 4002, 718, 690, 4006, 4005, 4008, 4007, 4008, 4008, 718, 723, 4011, 4014, 4013, 4017, 4015, 4017, 4016, 4018, 4020, 4019, 4023, 4021, 4149, 4023, 4022, 4025, 4024, 4027, 4026, 4029, 4028, 4152, 4031, 4030, 4033, 4032, 4035, 4034, 4154, 4037, 4036, 4038, 4041, 4040, 4043, 4042, 4045, 4044, 4046, 4048, 4047, 4049, 4051, 4050, 4052, 4054, 4053, 4055, 4173, 4176, 1491, 1491, 1491, 4178, 4180, 4182, 4184, 4186, 4191, 4073, 4072, 4166, 4074, 4076, 4075, 4078, 4077, 4079, 4080, 4092, 4091, 4094, 4093, 4203, 4096, 4095, 4132, 4133, 4134, 4098, 4097, 4100, 4099, 4211, 1491, 1491, 4102, 4101, 4213, 1341, 1341, 4218, 1507, 4123, 4106, 4220, 1220, 1220, 4226, 4120, 4117, 4228, 4120, 4120, 4121, 4133, 4134, 4230, 4232, 4123, 4122, 4125, 4124, 4127, 4126, 4132, 4133, 4134, 1341, 1341, 1341, 4137, 4136, 1507, 4166, 4139, 1522, 4155, 4157, 1491, 1491, 1491, 4243, 4163, 4162, 1507, 4166, 4165, 1522, 4169, 4168, 4171, 4170, 4174, 4174, 4174, 4174, 4174, 4174, 4207, 4224, 4189, 4189, 4189, 4189, 4189, 4189, 4194, 4224, 4195, 4197, 4196, 4199, 4198, 4200, 4224, 4201, 4248, 4251, 4224, 4204, 4224, 4205, 4207, 4206, 4209, 4208, 4248, 4247, 4221, 4223, 4222, 4252, 4215, 4214, 4216, 4248, 4247, 4221, 4223, 4222, 4252, 4224, 4255, 4256, 4244, 4244, 4235, 4234, 4264, 4237, 4266, 4239, 4268, 4271, 4244, 4244, 4246, 4246, 4248, 4247, 4249, 4251, 4250, 4252, 4253, 4254, 4255, 4256, 4261, 4261, 4257, 4257, 4258, 4258, 4261, 4261, 4261, 4261, 4261, 4261, 4262, 4262, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 965, 966, 971, 972, 975, 976, 978, 979, 983, 984, 985, 986, 987, 988, 989, 990, 991, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1051, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1092, 1093, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1104, 1105, 1157, 1158, 1159, 1160, 1161, 1162, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1225, 1226, 1227, 1228, 1231, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1261, 1262, 1263, 1264, 1267, 1307, 1308, 1309, 1310, 1311, 1313, 1314, 1316, 1317, 1318, 1319, 1320, 1322, 1323, 1364, 1365, 1367, 1368, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1415, 1416, 1418, 1419, 1420, 1421, 1422, 1424, 1425, 1428, 1429, 1431, 1432, 1433, 1434, 1435, 1436, 1439, 1440, 1441, 1442, 1443, 1444, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1555, 1556, 1557, 4306, 4305, 4306, 4305, 4310, 4309, 1693, 1694, 1696, 1697, 1699, 1700, 1701, 1702, 1727, 1728, 1761, 1762, 1763, 1764, 1772, 1773, 1790, 1791, 1792, 1801, 1802, 1803, 1804, 1807, 1808, 1809, 1810, 1923, 1924, 1927, 1928, 1929, 1932, 1933, 2013, 2014, 2020, 2021, 2022, 2023, 2024, 2029, 2030, 2031, 2032, 2033, 2034, 2054, 2055, 2056, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2112, 2113, 2114, 2116, 2118, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2130, 2131, 4174, 2188, 2189, 4174, 2191, 2192, 4174, 2194, 2195, 2198, 2199, 4189, 2265, 2266, 4589, 4588, 4189, 2270, 2271, 4607, 4591, 4189, 2275, 2276, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2290, 2301, 2302, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2320, 2321, 4617, 4617, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2481, 2483, 2487, 2488, 2499, 2509, 2533, 2534, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2546, 2548, 2549, 2565, 2566, 4737, 4735, 2612, 2613, 4738, 4735, 2668, 2669, 2696, 2697, 2723, 2724, 2803, 2804, 2810, 2811, 4733, 4733, 4738, 4737, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 4801, 4803, 4805, 4807, 4809, 4811, 4813, 4816, 4818, 4820, 4822, 4824, 4826, 4829, 4831, 4833, 4835, 4837, 4839, 4842, 4845, 4847, 4849, 4857, 4859, 4861, 4864, 4867, 4869, 4871, 4880, 4883, 4886, 4888, 4890, 4893, 4896, 4898, 4904, 4909, 4911, 4915, 4918, 4920, 4923, 4927, 4933, 4936, 4938, 4940, 4949, 4951, 4955, 4957, 4960, 4963, 4965, 4968, 4972, 4977, 4980, 4982, 4984, 4987, 4989, 4991, 4993, 4995, 4998, 5001, 5003, 5005, 5008, 5011, 5018, 5020, 5022, 5026, 5028, 5030, 5035, 5037, 5039, 5042, 5044, 5046, 5048, 5050, 5052, 5054, 5056, 5058, 5060, 5063, 5065, 5067, 5070, 5073, 5076, 5015, 4814, 4067, 1582, 1583, 1588, 1589, 5015, 4827, 5032, 1608, 1609, 5015, 4827, 4067, 4069, 5015, 4827, 5032, 5088, 5090, 5092, 5094, 4345, 4343, 4854, 4852, 4368, 4368, 4877, 4875, 5098, 5100, 5102, 5107, 5109, 5113, 5015, 4942, 4946, 4945, 4899, 4900, 4916, 4930, 4942, 5015, 4906, 4906, 4905, 4907, 4916, 5015, 4942, 4913, 5015, 4916, 4942, 4921, 4930, 4942, 4946, 4945, 4944, 4947, 5118, 5015, 5013, 5024, 5032, 5024, 5032, 5015, 5013, 5032, 4463, 4462, 4463, 4463, 4475, 4475, 5122, 4475, 4475, 5124, 5129, 5131, 5133, 5141, 5144, 5015, 5013, 5032, 5152, 5155, 5158, 5160, 4607, 4582, 2187, 2190, 2193, 5080, 5079, 5078, 5146, 2264, 2267, 2268, 2269, 2272, 2273, 2274, 5187, 5189, 5191, 5194, 4607, 4607, 4607, 4607, 5198, 5200, 5202, 5105, 5104, 5103, 5204, 5111, 5110, 2324, 5111, 5110, 2330, 5146, 5146, 5115, 5138, 5114, 4642, 4625, 5120, 5119, 5208, 5211, 5214, 5115, 5138, 5114, 4642, 4625, 5120, 5119, 5217, 5220, 5223, 5127, 5126, 5125, 4642, 4641, 5228, 5136, 5135, 5134, 5139, 5138, 5137, 5146, 5150, 5149, 5148, 5232, 5234, 5236, 5239, 4261, 5196, 5195, 2597, 2598, 4257, 5171, 5170, 2617, 2618, 5196, 5195, 5243, 5192, 4258, 4261, 5196, 5195, 4261, 4261, 4262, 4733, 2815, 2816, 2826, 2827, 4735, 5243, 5242, 5241, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 5313, 5312, 5314, 5316, 5315, 5317, 5379, 5378, 5353, 5380, 5381, 5352, 5385, 5318, 1572, 1573, 5388, 5387, 5319, 4066, 5391, 5391, 5390, 1581, 5415, 5397, 5396, 5395, 4068, 5417, 5379, 5378, 5362, 5380, 5381, 5352, 5385, 5324, 1598, 1599, 5388, 5387, 5325, 5024, 5391, 5391, 5390, 1607, 5422, 5327, 5397, 5395, 5408, 5321, 5410, 5409, 5379, 5378, 5377, 5380, 5381, 5352, 5385, 5324, 1625, 1626, 5388, 5387, 5322, 4066, 5391, 5391, 5390, 1634, 5394, 5327, 5397, 5367, 5385, 5324, 5388, 5387, 5325, 4068, 5391, 5391, 5390, 1648, 5394, 5327, 5397, 5367, 5381, 5352, 5379, 5378, 5377, 5380, 5385, 5324, 1661, 1662, 5391, 5391, 5390, 1666, 5388, 5387, 5325, 5024, 5393, 5364, 5327, 5397, 5367, 5408, 5407, 5330, 5329, 5328, 5331, 5332, 5334, 1739, 1740, 1741, 1742, 5337, 5336, 5335, 5338, 5339, 5341, 1749, 1750, 1751, 1752, 5343, 5342, 5345, 5344, 5347, 5346, 5349, 5348, 5379, 5377, 5356, 5380, 5381, 5352, 5385, 5357, 5358, 1820, 5361, 5360, 5359, 1824, 1825, 1826, 1827, 1828, 5379, 5377, 5351, 5380, 5381, 5352, 5385, 5357, 1837, 1838, 5361, 5360, 5354, 1842, 5394, 5393, 5392, 5350, 5379, 5377, 5351, 5358, 1851, 5361, 5360, 5359, 1855, 1856, 1857, 1858, 5379, 5377, 5351, 5380, 5381, 5352, 5385, 5357, 1867, 1868, 5361, 5360, 5354, 1872, 5394, 5393, 5355, 1876, 5379, 5378, 5353, 5385, 5357, 1882, 1883, 5361, 5360, 5354, 1887, 5394, 5393, 5355, 1891, 5379, 5356, 5362, 5380, 5383, 5385, 5357, 5358, 1900, 5361, 5360, 5359, 1904, 1905, 1906, 1907, 1908, 5375, 5372, 5379, 5378, 5362, 5380, 5381, 5383, 5366, 5365, 1960, 1961, 5387, 5363, 1964, 1965, 5394, 5393, 5364, 5397, 5367, 5396, 5387, 5386, 1974, 5391, 5390, 1977, 5394, 5393, 5364, 5379, 5378, 5377, 5380, 5381, 5383, 5366, 5365, 1989, 1990, 5388, 5024, 5391, 1994, 5394, 5393, 5392, 5397, 5367, 5396, 5373, 5376, 2003, 2004, 2005, 2006, 5368, 5369, 2009, 2010, 5370, 2016, 2017, 5371, 5373, 5372, 5374, 5376, 5375, 5379, 5378, 5377, 5380, 5381, 5383, 5385, 5384, 2086, 2087, 5388, 5387, 5386, 5024, 5391, 5391, 5390, 2095, 5394, 5393, 5392, 5397, 5396, 5395, 5398, 5400, 5401, 5403, 5404, 5405, 5408, 5407, 5410, 5409, 2185, 2186, 5162, 5165, 5168, 5476, 2200, 2201, 2202, 2226, 5173, 5519, 5178, 5522, 5183, 5431, 5430, 5432, 5433, 5506, 5507, 5442, 2303, 2304, 2305, 2306, 5444, 2316, 2317, 2318, 5507, 2322, 2323, 5500, 5445, 5476, 2328, 2329, 5500, 5499, 5476, 2358, 2391, 2392, 2393, 2394, 2395, 2396, 5476, 2398, 2399, 2409, 2410, 2411, 2412, 2413, 5476, 2415, 2416, 4632, 4632, 4632, 4635, 2474, 2475, 2476, 2477, 2478, 5496, 5497, 5498, 5506, 5507, 2494, 2495, 2496, 2500, 2501, 2502, 5500, 5499, 5506, 5507, 2526, 2527, 2528, 2529, 5505, 5504, 5506, 5507, 2564, 5538, 2582, 2583, 5533, 5526, 5525, 5524, 5586, 5585, 5591, 5586, 5585, 2611, 2614, 2615, 5596, 2648, 2649, 5533, 5526, 5525, 5524, 2656, 2657, 2667, 5533, 5534, 5527, 5555, 5554, 5556, 2695, 5533, 5532, 2703, 2704, 5534, 5533, 5532, 2722, 5538, 5555, 5554, 5556, 5565, 5564, 5566, 5555, 5554, 5556, 5565, 5564, 5566, 2802, 5572, 2809, 2814, 5586, 5585, 2828, 5612, 5586, 5585, 2838, 2839, 2840, 57, 58, 59, 60, 61, 62, 63, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 5647, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1584, 1585, 1586, 1587, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 5671, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 5697, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 5733, 1663, 1664, 1665, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1733, 1734, 1735, 1736, 1737, 1738, 5756, 5758, 1743, 1744, 1745, 1746, 1747, 1748, 5766, 5768, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1821, 1822, 1823, 5792, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 5804, 1839, 1840, 1841, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1852, 1853, 1854, 5822, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 5834, 1869, 1870, 1871, 1873, 1874, 1875, 1877, 1878, 1879, 1880, 1881, 5849, 1884, 1885, 1886, 1888, 1889, 1890, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1901, 1902, 1903, 5872, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 5886, 1962, 1963, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1975, 1976, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 5915, 1991, 1992, 1993, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 5929, 5931, 2007, 2008, 5935, 2015, 5938, 2048, 2049, 2050, 2051, 2052, 2053, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 5954, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 5980, 5163, 5166, 5169, 2196, 5986, 5174, 5179, 5184, 2277, 2278, 2279, 2280, 2288, 2289, 2299, 6002, 6004, 2307, 6007, 2319, 6011, 2325, 2326, 2327, 6016, 2331, 2332, 2333, 6023, 6026, 2397, 6029, 6031, 6034, 2414, 6037, 2437, 2458, 2471, 2473, 6043, 6046, 2479, 2480, 2482, 2489, 2490, 6053, 6056, 2503, 2504, 2505, 2506, 6064, 2530, 2531, 2532, 2535, 5245, 2567, 6073, 2584, 2585, 2586, 2587, 2595, 2596, 2609, 2610, 5249, 6085, 6088, 2650, 2651, 2652, 2653, 6094, 5253, 2670, 2671, 2672, 2681, 2682, 2683, 5255, 2698, 2699, 6106, 2705, 2706, 2707, 5257, 2725, 2738, 2739, 2740, 2743, 2744, 2745, 2772, 2773, 2774, 2777, 2778, 2779, 5259, 2805, 5261, 5609, 2824, 2825, 6130, 2836, 2837, 6135, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 6145, 6148, 6151, 6157, 6160, 6164, 6167, 6171, 6177, 6180, 6184, 6187, 6190, 6192, 6194, 6200, 6203, 6207, 6211, 6214, 6216, 6220, 6224, 6229, 6233, 6236, 6239, 6243, 6245, 6248, 6250, 6258, 6266, 6268, 6270, 6272, 6274, 6280, 5786, 6283, 5793, 6287, 6293, 6296, 6299, 6303, 5817, 6307, 5823, 6311, 6317, 6320, 6323, 6326, 6329, 6332, 6335, 6338, 6343, 5866, 6346, 5873, 6352, 6358, 6361, 6363, 6366, 6369, 6371, 6373, 6376, 6382, 6388, 6391, 6404, 6407, 6409, 6415, 6418, 6422, 6425, 6428, 6437, 6439, 5987, 6197, 6154, 6174, 6432, 6430, 6434, 6154, 6379, 6174, 6197, 6226, 6434, 6450, 6253, 6255, 6261, 6263, 6008, 5541, 6463, 5544, 6467, 6277, 6314, 6379, 6290, 6430, 6277, 6290, 6379, 6314, 6379, 6379, 6432, 6024, 6032, 6412, 6432, 6430, 6397, 6405, 6398, 6355, 6379, 6386, 6384, 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2823, 6742, 2834, 2835, 6747, 6757, 6762, 6812, 6812, 6812, 6779, 6784, 6793, 6795, 6797, 6799, 6801, 6805, 6812, 6812, 6812, 6815, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 6856, 2205, 6858, 6857, 6209, 6848, 2211, 6850, 6849, 5656, 6852, 2217, 6854, 6853, 5680, 6903, 2224, 2225, 6848, 2229, 6850, 6849, 5656, 6879, 2235, 6861, 6860, 5661, 6852, 2241, 6854, 6853, 5680, 2245, 6856, 2248, 6858, 6857, 6209, 2252, 6861, 6860, 6222, 6863, 2258, 6865, 6864, 6619, 2263, 6867, 6868, 2297, 2298, 6869, 2336, 6870, 2338, 6876, 2341, 6877, 6878, 6882, 2346, 6883, 2348, 6871, 2351, 6872, 6873, 2355, 2356, 2357, 6869, 2361, 6870, 2363, 6871, 2366, 6872, 6873, 6874, 2371, 6875, 2373, 6876, 2376, 6877, 6878, 6879, 2381, 6880, 6881, 6882, 2386, 6883, 2388, 2390, 6891, 2428, 6893, 6892, 6894, 6961, 6963, 6884, 2440, 2441, 2442, 6885, 2444, 2445, 6887, 6888, 2449, 6974, 6889, 6976, 6978, 6891, 2462, 6893, 6892, 6894, 6984, 2468, 2469, 2492, 2493, 6891, 2518, 6893, 6892, 6894, 6994, 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2380, 2382, 2383, 2385, 2387, 2427, 2429, 2430, 2431, 2439, 7211, 2443, 7214, 2446, 2448, 2452, 2461, 2463, 2464, 2465, 7229, 7231, 2517, 2519, 2520, 2521, 7206, 2553, 2554, 7220, 2558, 2559, 7000, 7119, 7002, 7006, 7237, 7238, 7237, 7238, 7119, 7137, 7227, 7152, 7019, 7023, 7030, 7175, 7206, 2689, 2690, 7039, 7042, 7206, 2711, 2712, 7220, 2716, 2717, 7047, 7175, 7175, 7200, 7206, 2783, 2784, 7220, 2791, 2792, 2796, 2797, 7059, 7237, 7238, 7237, 7238, 2856, 7247, 7249, 7274, 7250, 7285, 7252, 2888, 7286, 2894, 7258, 7259, 2910, 7271, 7272, 7273, 7274, 7283, 7285, 7286, 7288, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7360, 7362, 7364, 7366, 7368, 7370, 7373, 7375, 7377, 7379, 7381, 7383, 7385, 7387, 7390, 6917, 7394, 7396, 7397, 7399, 7401, 7404, 7406, 7410, 7412, 7415, 7417, 7420, 7423, 7425, 7427, 7429, 7434, 7436, 7438, 7442, 7444, 2552, 7448, 7430, 2557, 7451, 2574, 7372, 7003, 2590, 2591, 2604, 2605, 2625, 7372, 2633, 2640, 2641, 7020, 7237, 7398, 7407, 7405, 6937, 2678, 2688, 7470, 2710, 7475, 7430, 2715, 7478, 7405, 7402, 7407, 7400, 6937, 2735, 7400, 7402, 7405, 7407, 6937, 2755, 7411, 7413, 7416, 7418, 7421, 7424, 6956, 2769, 2782, 7485, 7430, 7432, 7218, 2790, 7488, 7227, 7490, 7237, 2819, 2820, 2831, 2832, 7243, 2859, 2861, 2862, 2865, 2867, 2869, 2889, 7256, 2902, 2904, 7262, 7286, 7269, 2926, 2928, 2944, 2946, 7281, 2958, 2961, 2965, 2969, 61, 62, 63, 7581, 7582, 7583, 2556, 7554, 7555, 7552, 7553, 7556, 7557, 2575, 7587, 7588, 7587, 7588, 7552, 7553, 7554, 7555, 7556, 7557, 2626, 7558, 7559, 7560, 7561, 7562, 7563, 7564, 7565, 7579, 7566, 7567, 7568, 7570, 7569, 7588, 2661, 2662, 7574, 2674, 7573, 2676, 2677, 7581, 7582, 7581, 7582, 7583, 2714, 7573, 2727, 7572, 2729, 7574, 2731, 7571, 2733, 2734, 7571, 2747, 7572, 2749, 7573, 2751, 7574, 2753, 2754, 7575, 2757, 7576, 2759, 7577, 2761, 7578, 2763, 7579, 2765, 7580, 2767, 2768, 7581, 7582, 7583, 2786, 2787, 7584, 2789, 7585, 7586, 2795, 2812, 7587, 7588, 7587, 7588, 7589, 7592, 2847, 7596, 7597, 7599, 7604, 7604, 7606, 2893, 7613, 2907, 2909, 7615, 7618, 2917, 7640, 7645, 2956, 7650, 7652, 7655, 7657, 7656, 7658, 7659, 7660, 7661, 7664, 7663, 7669, 7668, 7671, 7670, 7673, 7674, 7675, 7676, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2550, 2551, 2555, 2568, 2569, 2570, 2571, 2572, 2573, 2588, 2589, 2602, 2603, 2619, 2620, 2621, 2622, 2623, 2624, 2627, 2628, 2629, 2630, 2631, 2632, 2634, 2635, 2636, 2637, 2638, 2639, 2658, 2659, 2660, 2673, 2675, 2686, 2687, 2708, 2709, 2713, 2726, 2728, 2730, 2732, 2746, 2748, 2750, 2752, 2756, 2758, 2760, 2762, 2764, 2766, 2780, 2781, 2785, 2788, 2793, 2794, 2817, 2818, 2829, 2830, 2842, 2846, 7594, 2855, 2858, 2864, 7601, 2882, 2886, 2887, 7717, 7723, 2906, 2912, 2916, 7738, 7747, 7760, 2949, 2953, 7770, 7771, 2964, 2968, 7778, 2980, 2981, 2982, 2984, 2985, 2986, 2991, 7785, 2996, 2997, 7787, 7788, 7791, 3009, 3010, 3013, 3014, 7794, 3019, 3021, 3023, 3025, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 7904, 7872, 7930, 7930, 7874, 7879, 7893, 7875, 7899, 7877, 2854, 7881, 7883, 7885, 7899, 7887, 7893, 7889, 2876, 7899, 7891, 7893, 7897, 7895, 7901, 7899, 7897, 2892, 7923, 7907, 7906, 7925, 7917, 7918, 2901, 7908, 7910, 7930, 7930, 7912, 7914, 7916, 7925, 7913, 7915, 7923, 2925, 7918, 7920, 7925, 7917, 7923, 7919, 2936, 7922, 7923, 7921, 7926, 7925, 7924, 2943, 7927, 7930, 7930, 7929, 7931, 2955, 2960, 7933, 7935, 2974, 7940, 7964, 7946, 2993, 7971, 3001, 3002, 3006, 7976, 7978, 3018, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2841, 2843, 2844, 2845, 2849, 2850, 2851, 2852, 2853, 2857, 2863, 2871, 2872, 2873, 2874, 2875, 2877, 2878, 2879, 2880, 2881, 2883, 2884, 2885, 8000, 2895, 2896, 2897, 2898, 2899, 2900, 2905, 2911, 2913, 2914, 2915, 2919, 2920, 2921, 2922, 2923, 2924, 2930, 2931, 2932, 2933, 2934, 2935, 2937, 2938, 2939, 2940, 2941, 2942, 2948, 2950, 2951, 2952, 2954, 2963, 2967, 2978, 2990, 63, 8130, 8133, 8135, 8140, 8142, 8145, 8147, 8150, 2891, 8154, 8156, 8158, 8162, 8165, 8167, 8169, 8171, 8173, 8175, 8177, 8179, 8181, 8184, 8186, 8128, 8137, 8138, 8186, 8159, 8186, 8160, 8186, 8182, 8187, 8187, 8188, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8131, 8194, 8196, 8198, 8151, 8202, 8163, 8206, 8209, 8212, 8185, 2971, 2973, 2979, 2983, 8200, 2998, 3000, 3003, 3005, 3015, 3017, 3020, 3022, 3024, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8136, 8143, 8148, 8203, 8207, 8210, 8213, 8256, 8260, 8260, 2992, 8262, 8262, 8266, 8270, 8278, 8279, 8279, 8269, 8280, 8278, 8279, 8279, 8278, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 2972, 2975, 8322, 8320, 2987, 8322, 8321, 8326, 8323, 2999, 3004, 8326, 8324, 8326, 8325, 3016, 3026, 3028, 3029, 3030, 3034, 8330, 3037, 3038, 3040, 3041, 3045, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8384, 2976, 2977, 2988, 2989, 2994, 2995, 8393, 8394, 3007, 3008, 3011, 3012, 8399, 3036, 8402, 8409, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8268, 8449, 8451, 8454, 8273, 8275, 8458, 8460, 8277, 8406, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8450, 8452, 8515, 8512, 8518, 8520, 8516, 8517, 8519, 8515, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3027, 8576, 3032, 3033, 3035, 3039, 3042, 3043, 8577, 3046, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 3031, 3044, 8640, 8643, 8644, 8645, 8647, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8704, 8410, 8463, 8521, 8464, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8707, 8769, 8772, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8832, 8649, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8834, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8897, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63};
bool h_Op[]= {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
#define THREADS_PER_BLOCK 64
#define BLOCKS_PER_GRID 1
#define SIZE_OF_IN 3072
#define SIZE_OF_AC 6016
__device__ void
ac(float *A, const int *B, const int *C, const bool *Op, int n_iter) {
int i= blockDim.x * blockIdx.x + threadIdx.x;
__shared__ float R[142*THREADS_PER_BLOCK];
const int t= THREADS_PER_BLOCK;
__shared__ float final;
final=0;
R[i + 0*t] = A[i + 0*t];
R[i + 1*t] = A[i + 1*t];
R[i + 2*t] = A[i + 2*t];
R[i + 3*t] = A[i + 3*t];
R[i + 4*t] = A[i + 4*t];
R[i + 5*t] = A[i + 5*t];
R[i + 6*t] = A[i + 6*t];
R[i + 7*t] = A[i + 7*t];
R[i + 8*t] = A[i + 8*t];
R[i + 9*t] = A[i + 9*t];
R[i + 10*t] = A[i + 10*t];
R[i + 11*t] = A[i + 11*t];
R[i + 12*t] = A[i + 12*t];
R[i + 13*t] = A[i + 13*t];
R[i + 14*t] = A[i + 14*t];
R[i + 15*t] = A[i + 15*t];
R[i + 16*t] = A[i + 16*t];
R[i + 17*t] = A[i + 17*t];
R[i + 18*t] = A[i + 18*t];
R[i + 19*t] = A[i + 19*t];
R[i + 20*t] = A[i + 20*t];
R[i + 21*t] = A[i + 21*t];
R[i + 22*t] = A[i + 22*t];
R[i + 23*t] = A[i + 23*t];
R[i + 24*t] = A[i + 24*t];
R[i + 25*t] = A[i + 25*t];
R[i + 26*t] = A[i + 26*t];
R[i + 27*t] = A[i + 27*t];
R[i + 28*t] = A[i + 28*t];
R[i + 29*t] = A[i + 29*t];
R[i + 30*t] = A[i + 30*t];
R[i + 31*t] = A[i + 31*t];
R[i + 32*t] = A[i + 32*t];
R[i + 33*t] = A[i + 33*t];
R[i + 34*t] = A[i + 34*t];
R[i + 35*t] = A[i + 35*t];
R[i + 36*t] = A[i + 36*t];
R[i + 37*t] = A[i + 37*t];
R[i + 38*t] = A[i + 38*t];
R[i + 39*t] = A[i + 39*t];
R[i + 40*t] = A[i + 40*t];
R[i + 41*t] = A[i + 41*t];
R[i + 42*t] = A[i + 42*t];
R[i + 43*t] = A[i + 43*t];
R[i + 44*t] = A[i + 44*t];
R[i + 45*t] = A[i + 45*t];
R[i + 46*t] = A[i + 46*t];
R[i + 47*t] = A[i + 47*t];
__syncthreads();
for (int iter=0; iter< n_iter; iter++) {
R[i + 48*t] = Op[i + 0*t] ? R[B[i + 0*t]] * R[C[i + 0*t]] : R[B[i + 0*t]] + R[C[i + 0*t]];
R[i + 49*t] = Op[i + 1*t] ? R[B[i + 1*t]] * R[C[i + 1*t]] : R[B[i + 1*t]] + R[C[i + 1*t]];
R[i + 50*t] = Op[i + 2*t] ? R[B[i + 2*t]] * R[C[i + 2*t]] : R[B[i + 2*t]] + R[C[i + 2*t]];
R[i + 51*t] = Op[i + 3*t] ? R[B[i + 3*t]] * R[C[i + 3*t]] : R[B[i + 3*t]] + R[C[i + 3*t]];
R[i + 52*t] = Op[i + 4*t] ? R[B[i + 4*t]] * R[C[i + 4*t]] : R[B[i + 4*t]] + R[C[i + 4*t]];
R[i + 53*t] = Op[i + 5*t] ? R[B[i + 5*t]] * R[C[i + 5*t]] : R[B[i + 5*t]] + R[C[i + 5*t]];
R[i + 54*t] = Op[i + 6*t] ? R[B[i + 6*t]] * R[C[i + 6*t]] : R[B[i + 6*t]] + R[C[i + 6*t]];
R[i + 55*t] = Op[i + 7*t] ? R[B[i + 7*t]] * R[C[i + 7*t]] : R[B[i + 7*t]] + R[C[i + 7*t]];
R[i + 56*t] = Op[i + 8*t] ? R[B[i + 8*t]] * R[C[i + 8*t]] : R[B[i + 8*t]] + R[C[i + 8*t]];
R[i + 57*t] = Op[i + 9*t] ? R[B[i + 9*t]] * R[C[i + 9*t]] : R[B[i + 9*t]] + R[C[i + 9*t]];
R[i + 58*t] = Op[i + 10*t] ? R[B[i + 10*t]] * R[C[i + 10*t]] : R[B[i + 10*t]] + R[C[i + 10*t]];
R[i + 59*t] = Op[i + 11*t] ? R[B[i + 11*t]] * R[C[i + 11*t]] : R[B[i + 11*t]] + R[C[i + 11*t]];
__syncthreads();
R[i + 60*t] = Op[i + 12*t] ? R[B[i + 12*t]] * R[C[i + 12*t]] : R[B[i + 12*t]] + R[C[i + 12*t]];
R[i + 61*t] = Op[i + 13*t] ? R[B[i + 13*t]] * R[C[i + 13*t]] : R[B[i + 13*t]] + R[C[i + 13*t]];
R[i + 62*t] = Op[i + 14*t] ? R[B[i + 14*t]] * R[C[i + 14*t]] : R[B[i + 14*t]] + R[C[i + 14*t]];
R[i + 63*t] = Op[i + 15*t] ? R[B[i + 15*t]] * R[C[i + 15*t]] : R[B[i + 15*t]] + R[C[i + 15*t]];
R[i + 64*t] = Op[i + 16*t] ? R[B[i + 16*t]] * R[C[i + 16*t]] : R[B[i + 16*t]] + R[C[i + 16*t]];
R[i + 65*t] = Op[i + 17*t] ? R[B[i + 17*t]] * R[C[i + 17*t]] : R[B[i + 17*t]] + R[C[i + 17*t]];
R[i + 66*t] = Op[i + 18*t] ? R[B[i + 18*t]] * R[C[i + 18*t]] : R[B[i + 18*t]] + R[C[i + 18*t]];
__syncthreads();
R[i + 67*t] = Op[i + 19*t] ? R[B[i + 19*t]] * R[C[i + 19*t]] : R[B[i + 19*t]] + R[C[i + 19*t]];
R[i + 68*t] = Op[i + 20*t] ? R[B[i + 20*t]] * R[C[i + 20*t]] : R[B[i + 20*t]] + R[C[i + 20*t]];
R[i + 69*t] = Op[i + 21*t] ? R[B[i + 21*t]] * R[C[i + 21*t]] : R[B[i + 21*t]] + R[C[i + 21*t]];
R[i + 70*t] = Op[i + 22*t] ? R[B[i + 22*t]] * R[C[i + 22*t]] : R[B[i + 22*t]] + R[C[i + 22*t]];
R[i + 71*t] = Op[i + 23*t] ? R[B[i + 23*t]] * R[C[i + 23*t]] : R[B[i + 23*t]] + R[C[i + 23*t]];
R[i + 72*t] = Op[i + 24*t] ? R[B[i + 24*t]] * R[C[i + 24*t]] : R[B[i + 24*t]] + R[C[i + 24*t]];
R[i + 73*t] = Op[i + 25*t] ? R[B[i + 25*t]] * R[C[i + 25*t]] : R[B[i + 25*t]] + R[C[i + 25*t]];
R[i + 74*t] = Op[i + 26*t] ? R[B[i + 26*t]] * R[C[i + 26*t]] : R[B[i + 26*t]] + R[C[i + 26*t]];
__syncthreads();
R[i + 75*t] = Op[i + 27*t] ? R[B[i + 27*t]] * R[C[i + 27*t]] : R[B[i + 27*t]] + R[C[i + 27*t]];
R[i + 76*t] = Op[i + 28*t] ? R[B[i + 28*t]] * R[C[i + 28*t]] : R[B[i + 28*t]] + R[C[i + 28*t]];
R[i + 77*t] = Op[i + 29*t] ? R[B[i + 29*t]] * R[C[i + 29*t]] : R[B[i + 29*t]] + R[C[i + 29*t]];
R[i + 78*t] = Op[i + 30*t] ? R[B[i + 30*t]] * R[C[i + 30*t]] : R[B[i + 30*t]] + R[C[i + 30*t]];
R[i + 79*t] = Op[i + 31*t] ? R[B[i + 31*t]] * R[C[i + 31*t]] : R[B[i + 31*t]] + R[C[i + 31*t]];
R[i + 80*t] = Op[i + 32*t] ? R[B[i + 32*t]] * R[C[i + 32*t]] : R[B[i + 32*t]] + R[C[i + 32*t]];
R[i + 81*t] = Op[i + 33*t] ? R[B[i + 33*t]] * R[C[i + 33*t]] : R[B[i + 33*t]] + R[C[i + 33*t]];
R[i + 82*t] = Op[i + 34*t] ? R[B[i + 34*t]] * R[C[i + 34*t]] : R[B[i + 34*t]] + R[C[i + 34*t]];
__syncthreads();
R[i + 83*t] = Op[i + 35*t] ? R[B[i + 35*t]] * R[C[i + 35*t]] : R[B[i + 35*t]] + R[C[i + 35*t]];
R[i + 84*t] = Op[i + 36*t] ? R[B[i + 36*t]] * R[C[i + 36*t]] : R[B[i + 36*t]] + R[C[i + 36*t]];
R[i + 85*t] = Op[i + 37*t] ? R[B[i + 37*t]] * R[C[i + 37*t]] : R[B[i + 37*t]] + R[C[i + 37*t]];
R[i + 86*t] = Op[i + 38*t] ? R[B[i + 38*t]] * R[C[i + 38*t]] : R[B[i + 38*t]] + R[C[i + 38*t]];
R[i + 87*t] = Op[i + 39*t] ? R[B[i + 39*t]] * R[C[i + 39*t]] : R[B[i + 39*t]] + R[C[i + 39*t]];
__syncthreads();
R[i + 88*t] = Op[i + 40*t] ? R[B[i + 40*t]] * R[C[i + 40*t]] : R[B[i + 40*t]] + R[C[i + 40*t]];
R[i + 89*t] = Op[i + 41*t] ? R[B[i + 41*t]] * R[C[i + 41*t]] : R[B[i + 41*t]] + R[C[i + 41*t]];
R[i + 90*t] = Op[i + 42*t] ? R[B[i + 42*t]] * R[C[i + 42*t]] : R[B[i + 42*t]] + R[C[i + 42*t]];
R[i + 91*t] = Op[i + 43*t] ? R[B[i + 43*t]] * R[C[i + 43*t]] : R[B[i + 43*t]] + R[C[i + 43*t]];
R[i + 92*t] = Op[i + 44*t] ? R[B[i + 44*t]] * R[C[i + 44*t]] : R[B[i + 44*t]] + R[C[i + 44*t]];
R[i + 93*t] = Op[i + 45*t] ? R[B[i + 45*t]] * R[C[i + 45*t]] : R[B[i + 45*t]] + R[C[i + 45*t]];
R[i + 94*t] = Op[i + 46*t] ? R[B[i + 46*t]] * R[C[i + 46*t]] : R[B[i + 46*t]] + R[C[i + 46*t]];
R[i + 95*t] = Op[i + 47*t] ? R[B[i + 47*t]] * R[C[i + 47*t]] : R[B[i + 47*t]] + R[C[i + 47*t]];
__syncthreads();
R[i + 96*t] = Op[i + 48*t] ? R[B[i + 48*t]] * R[C[i + 48*t]] : R[B[i + 48*t]] + R[C[i + 48*t]];
R[i + 97*t] = Op[i + 49*t] ? R[B[i + 49*t]] * R[C[i + 49*t]] : R[B[i + 49*t]] + R[C[i + 49*t]];
R[i + 98*t] = Op[i + 50*t] ? R[B[i + 50*t]] * R[C[i + 50*t]] : R[B[i + 50*t]] + R[C[i + 50*t]];
R[i + 99*t] = Op[i + 51*t] ? R[B[i + 51*t]] * R[C[i + 51*t]] : R[B[i + 51*t]] + R[C[i + 51*t]];
R[i + 100*t] = Op[i + 52*t] ? R[B[i + 52*t]] * R[C[i + 52*t]] : R[B[i + 52*t]] + R[C[i + 52*t]];
R[i + 101*t] = Op[i + 53*t] ? R[B[i + 53*t]] * R[C[i + 53*t]] : R[B[i + 53*t]] + R[C[i + 53*t]];
R[i + 102*t] = Op[i + 54*t] ? R[B[i + 54*t]] * R[C[i + 54*t]] : R[B[i + 54*t]] + R[C[i + 54*t]];
__syncthreads();
R[i + 103*t] = Op[i + 55*t] ? R[B[i + 55*t]] * R[C[i + 55*t]] : R[B[i + 55*t]] + R[C[i + 55*t]];
R[i + 104*t] = Op[i + 56*t] ? R[B[i + 56*t]] * R[C[i + 56*t]] : R[B[i + 56*t]] + R[C[i + 56*t]];
R[i + 105*t] = Op[i + 57*t] ? R[B[i + 57*t]] * R[C[i + 57*t]] : R[B[i + 57*t]] + R[C[i + 57*t]];
R[i + 106*t] = Op[i + 58*t] ? R[B[i + 58*t]] * R[C[i + 58*t]] : R[B[i + 58*t]] + R[C[i + 58*t]];
__syncthreads();
R[i + 107*t] = Op[i + 59*t] ? R[B[i + 59*t]] * R[C[i + 59*t]] : R[B[i + 59*t]] + R[C[i + 59*t]];
R[i + 108*t] = Op[i + 60*t] ? R[B[i + 60*t]] * R[C[i + 60*t]] : R[B[i + 60*t]] + R[C[i + 60*t]];
R[i + 109*t] = Op[i + 61*t] ? R[B[i + 61*t]] * R[C[i + 61*t]] : R[B[i + 61*t]] + R[C[i + 61*t]];
R[i + 110*t] = Op[i + 62*t] ? R[B[i + 62*t]] * R[C[i + 62*t]] : R[B[i + 62*t]] + R[C[i + 62*t]];
__syncthreads();
R[i + 111*t] = Op[i + 63*t] ? R[B[i + 63*t]] * R[C[i + 63*t]] : R[B[i + 63*t]] + R[C[i + 63*t]];
R[i + 112*t] = Op[i + 64*t] ? R[B[i + 64*t]] * R[C[i + 64*t]] : R[B[i + 64*t]] + R[C[i + 64*t]];
R[i + 113*t] = Op[i + 65*t] ? R[B[i + 65*t]] * R[C[i + 65*t]] : R[B[i + 65*t]] + R[C[i + 65*t]];
R[i + 114*t] = Op[i + 66*t] ? R[B[i + 66*t]] * R[C[i + 66*t]] : R[B[i + 66*t]] + R[C[i + 66*t]];
__syncthreads();
R[i + 115*t] = Op[i + 67*t] ? R[B[i + 67*t]] * R[C[i + 67*t]] : R[B[i + 67*t]] + R[C[i + 67*t]];
R[i + 116*t] = Op[i + 68*t] ? R[B[i + 68*t]] * R[C[i + 68*t]] : R[B[i + 68*t]] + R[C[i + 68*t]];
R[i + 117*t] = Op[i + 69*t] ? R[B[i + 69*t]] * R[C[i + 69*t]] : R[B[i + 69*t]] + R[C[i + 69*t]];
__syncthreads();
R[i + 118*t] = Op[i + 70*t] ? R[B[i + 70*t]] * R[C[i + 70*t]] : R[B[i + 70*t]] + R[C[i + 70*t]];
R[i + 119*t] = Op[i + 71*t] ? R[B[i + 71*t]] * R[C[i + 71*t]] : R[B[i + 71*t]] + R[C[i + 71*t]];
__syncthreads();
R[i + 120*t] = Op[i + 72*t] ? R[B[i + 72*t]] * R[C[i + 72*t]] : R[B[i + 72*t]] + R[C[i + 72*t]];
R[i + 121*t] = Op[i + 73*t] ? R[B[i + 73*t]] * R[C[i + 73*t]] : R[B[i + 73*t]] + R[C[i + 73*t]];
R[i + 122*t] = Op[i + 74*t] ? R[B[i + 74*t]] * R[C[i + 74*t]] : R[B[i + 74*t]] + R[C[i + 74*t]];
__syncthreads();
R[i + 123*t] = Op[i + 75*t] ? R[B[i + 75*t]] * R[C[i + 75*t]] : R[B[i + 75*t]] + R[C[i + 75*t]];
R[i + 124*t] = Op[i + 76*t] ? R[B[i + 76*t]] * R[C[i + 76*t]] : R[B[i + 76*t]] + R[C[i + 76*t]];
__syncthreads();
R[i + 125*t] = Op[i + 77*t] ? R[B[i + 77*t]] * R[C[i + 77*t]] : R[B[i + 77*t]] + R[C[i + 77*t]];
R[i + 126*t] = Op[i + 78*t] ? R[B[i + 78*t]] * R[C[i + 78*t]] : R[B[i + 78*t]] + R[C[i + 78*t]];
__syncthreads();
R[i + 127*t] = Op[i + 79*t] ? R[B[i + 79*t]] * R[C[i + 79*t]] : R[B[i + 79*t]] + R[C[i + 79*t]];
__syncthreads();
R[i + 128*t] = Op[i + 80*t] ? R[B[i + 80*t]] * R[C[i + 80*t]] : R[B[i + 80*t]] + R[C[i + 80*t]];
__syncthreads();
R[i + 129*t] = Op[i + 81*t] ? R[B[i + 81*t]] * R[C[i + 81*t]] : R[B[i + 81*t]] + R[C[i + 81*t]];
__syncthreads();
R[i + 130*t] = Op[i + 82*t] ? R[B[i + 82*t]] * R[C[i + 82*t]] : R[B[i + 82*t]] + R[C[i + 82*t]];
__syncthreads();
R[i + 131*t] = Op[i + 83*t] ? R[B[i + 83*t]] * R[C[i + 83*t]] : R[B[i + 83*t]] + R[C[i + 83*t]];
__syncthreads();
R[i + 132*t] = Op[i + 84*t] ? R[B[i + 84*t]] * R[C[i + 84*t]] : R[B[i + 84*t]] + R[C[i + 84*t]];
__syncthreads();
R[i + 133*t] = Op[i + 85*t] ? R[B[i + 85*t]] * R[C[i + 85*t]] : R[B[i + 85*t]] + R[C[i + 85*t]];
__syncthreads();
R[i + 134*t] = Op[i + 86*t] ? R[B[i + 86*t]] * R[C[i + 86*t]] : R[B[i + 86*t]] + R[C[i + 86*t]];
__syncthreads();
R[i + 135*t] = Op[i + 87*t] ? R[B[i + 87*t]] * R[C[i + 87*t]] : R[B[i + 87*t]] + R[C[i + 87*t]];
__syncthreads();
R[i + 136*t] = Op[i + 88*t] ? R[B[i + 88*t]] * R[C[i + 88*t]] : R[B[i + 88*t]] + R[C[i + 88*t]];
__syncthreads();
R[i + 137*t] = Op[i + 89*t] ? R[B[i + 89*t]] * R[C[i + 89*t]] : R[B[i + 89*t]] + R[C[i + 89*t]];
__syncthreads();
R[i + 138*t] = Op[i + 90*t] ? R[B[i + 90*t]] * R[C[i + 90*t]] : R[B[i + 90*t]] + R[C[i + 90*t]];
__syncthreads();
R[i + 139*t] = Op[i + 91*t] ? R[B[i + 91*t]] * R[C[i + 91*t]] : R[B[i + 91*t]] + R[C[i + 91*t]];
__syncthreads();
R[i + 140*t] = Op[i + 92*t] ? R[B[i + 92*t]] * R[C[i + 92*t]] : R[B[i + 92*t]] + R[C[i + 92*t]];
__syncthreads();
R[i + 141*t] = Op[i + 93*t] ? R[B[i + 93*t]] * R[C[i + 93*t]] : R[B[i + 93*t]] + R[C[i + 93*t]];
if (i==0) { final += R[141*t]; }
__syncthreads();
}
if (i==0) { A[0]= final;}
}
|
4,488 | #include "includes.h"
__global__ void kernelInitNablaW(float *nabla_w,int tws) {
if ((blockIdx.x*blockDim.x+threadIdx.x)<tws) {
nabla_w[blockIdx.x*blockDim.x+threadIdx.x]=0.0;
}
} |
4,489 | #include <math.h>
#include <stdio.h>
#include <vector>
__global__
void vecAddKernel(float* A, float* B, float* C, int size)
{
int i = blockDim.x * blockIdx.x + threadIdx.x;
if (i < size) {
C[i] = A[i] + B[i];
}
}
void vecAdd(float* h_A, float* h_B, float* h_C, int n)
{
float* d_A;
float* d_B;
float* d_C;
int nbytes = n * sizeof(float);
cudaError_t err;
err = cudaMalloc((void**)&d_A, nbytes);
if (err != cudaSuccess) {
printf("cannot alloc memory: %s\n", cudaGetErrorString(err));
exit(1);
}
cudaMalloc((void**)&d_B, nbytes);
cudaMalloc((void**)&d_C, nbytes);
cudaMemcpy(d_A, h_A, nbytes, cudaMemcpyHostToDevice);
cudaMemcpy(d_B, h_B, nbytes, cudaMemcpyHostToDevice);
// do the work
vecAddKernel<<<ceil(n/256.0), 256>>>(d_A, d_B, d_C, n);
cudaMemcpy(h_C, d_C, nbytes, cudaMemcpyDeviceToHost);
cudaFree(d_A);
cudaFree(d_B);
cudaFree(d_C);
}
#define N 10000
int main()
{
std::vector<float> a(N, 1.1);
std::vector<float> b(N, 1.1);
std::vector<float> c(N);
vecAdd(a.data(), b.data(), c.data(), N);
for (int i = 0; i < N; ++i) {
printf("%f\n", c[i]);
}
} |
4,490 | #include<cuda.h>
#include<cuda_runtime.h>
#include<stdio.h>
#include<stdlib.h>
#include<cmath>
#define TILE_SIZE 2
__device__ void store_full(float*,float*,int);
__device__ void load_full(float*,float*,int);
__device__ void potrf_tile(float*,int,int);
__device__ void trsm_tile(float*,int,int,int);
__device__ void syrk_tile(float*,int,int,int,int);
__global__ void right_looking_launch_kernel(float*,int);
__device__ void store_zeros(float*,int);
__device__ void store_zeros_diagonal(float*,int,int);
__device__ void store_zeros_last(float*,int);
__device__ void store_full(float* read_data,float* write_data,int N)
{
int i,j,ID;
for(i=0;i<N/TILE_SIZE;i++)
{
for(j=0;j<N/TILE_SIZE;j++)
{
ID = (i*TILE_SIZE + threadIdx.y)*N + j*TILE_SIZE + threadIdx.x;
write_data[ID + N*N*blockIdx.x] = read_data[ID];
}
}
__syncthreads();
}
__device__ void load_full(float* read_data,float* write_data,int N)
{
int i,j,ID;
for(i=0;i<N/TILE_SIZE;i++)
{
for(j=0;j<N/TILE_SIZE;j++)
{
ID = (i*TILE_SIZE + threadIdx.y)*N + j*TILE_SIZE + threadIdx.x;
write_data[ID] = read_data[ID + N*N*blockIdx.x];
}
}
__syncthreads();
}
__device__ void potrf_tile(float* t_A,int i,int N)
{
int t_x = threadIdx.x;
int t_y = threadIdx.y;
for(int k=0;k<TILE_SIZE;k++)
{
if(t_x==t_y && t_x==k)
{
t_A[i*TILE_SIZE*(1+N) + t_x*N + t_x] = sqrtf(t_A[i*TILE_SIZE*(1+N) + t_x*N + t_x]);
}
__syncthreads();
if(t_x<t_y && t_x == k)
{
t_A[i*TILE_SIZE*(1+N) + t_y*N + t_x]/= t_A[i*TILE_SIZE*(1+N) + t_x*N + t_x];
}
__syncthreads();
if(k<t_y && k<t_x && t_x<=t_y)
{
t_A[i*TILE_SIZE*(1+N) + t_y*N + t_x]-= t_A[i*TILE_SIZE*(1+N) + t_x*N + k]*t_A[i*TILE_SIZE*(1+N) + t_y*N + k];
}
__syncthreads();
}
}
__device__ void trsm_tile(float *row_data,int i,int j,int N)
{
int t_x = threadIdx.x;
int t_y = threadIdx.y;
for(int s=0;s<TILE_SIZE;s++)
{
if(t_x==s)
{
row_data[(t_y + j*TILE_SIZE)*N + t_x + i*TILE_SIZE]/= row_data[i*TILE_SIZE*(1+N) + t_x*(1+N)];
}
__syncthreads();
if(t_x > s)
{
row_data[(t_y + j*TILE_SIZE)*N + t_x + i*TILE_SIZE]-= row_data[(t_x + i*TILE_SIZE)*N + s]*row_data[(t_y + j*TILE_SIZE)*N + s];
}
__syncthreads();
}
}
__device__ void syrk_tile(float* row_data,int i,int j,int k,int N)
{
int t_y = threadIdx.y;
int t_x = threadIdx.x;
float valueToSubtract = 0.0;
for(int r=0;r<TILE_SIZE;r++)
{
valueToSubtract+= row_data[(t_x + k*TILE_SIZE)*N + i*TILE_SIZE + r]*row_data[(t_y + j*TILE_SIZE)*N + i*TILE_SIZE + r];
}
row_data[(t_y + j*TILE_SIZE)*N + t_x + k*TILE_SIZE]-= valueToSubtract;
__syncthreads();
}
__device__ void store_zeros(float* A,int N)
{
int t_y = threadIdx.y;
int t_x = threadIdx.x;
int i,j;
for(i=0;i<N/TILE_SIZE-1;i++)
{
for(j=i+1;j<N/TILE_SIZE;j++)
A[j*blockDim.x + t_x + (i*blockDim.y + t_y)*N] = 0.0;
}
__syncthreads();
}
__device__ void store_zeros_diagonal(float* A,int N,int b) // Will only work if (N/TILE_SIZE) is even
{
int t_y = threadIdx.y;
int t_x = threadIdx.x;
int i;
for(i=0;i<N/TILE_SIZE-b;i+=2)
{
if(t_x>t_y)
A[i*blockDim.x + t_x + (i*blockDim.y + t_y)*N] = 0.0;
if(t_x<t_y)
A[(i+1)*blockDim.x*(1+N) + (blockDim.x-t_x-1) + (blockDim.y-t_y-1)*N] = 0.0;
}
__syncthreads();
}
__device__ void store_zeros_last(float* A,int N) // Will only work if (N/TILE_SIZE) is even
{
int t_y = threadIdx.y;
int t_x = threadIdx.x;
if(t_x>t_y)
A[(N/TILE_SIZE-1)*blockDim.x*(1+N) + t_x + t_y*N] = 0.0;
__syncthreads();
}
__global__ void right_looking_launch_kernel(float* read_data,int N)
{
extern __shared__ float data[];
int i,j,k;
load_full(read_data,data,N);
for(i=0;i<N/TILE_SIZE;i++)
{
potrf_tile(data,i,N);
for(j=i+1;j<N/TILE_SIZE;j++)
{
trsm_tile(data,i,j,N);
for(k=i+1;k<=j;k++)
{
syrk_tile(data,i,j,k,N);
}
}
}
store_zeros(data,N);
if((N/TILE_SIZE)%2==0)
store_zeros_diagonal(data,N,0);
else
{
store_zeros_diagonal(data,N,1);
store_zeros_last(data,N);
}
store_full(data,read_data,N);
} |
4,491 | template <class T, unsigned int blockSize>
__device__ void reduce(T *g_idata, unsigned n, unsigned tid, unsigned i, T sdata[])
{
if (blockSize >= 512) { if (tid < 256) { sdata[tid] += sdata[tid + 256]; } __syncthreads(); }
if (blockSize >= 256) { if (tid < 128) { sdata[tid] += sdata[tid + 128]; } __syncthreads(); }
if (blockSize >= 128) { if (tid < 64) { sdata[tid] += sdata[tid + 64]; } __syncthreads(); }
if (tid < 32)
{
if (blockSize >= 64) sdata[tid] += sdata[tid + 32];
if (blockSize >= 32) sdata[tid] += sdata[tid + 16];
if (blockSize >= 16) sdata[tid] += sdata[tid + 8];
if (blockSize >= 8) sdata[tid] += sdata[tid + 4];
if (blockSize >= 4) sdata[tid] += sdata[tid + 2];
if (blockSize >= 2) sdata[tid] += sdata[tid + 1];
}
}
template <class T, unsigned int blockSize>
__global__ void reduceFull(T *g_idata, T *g_odata, unsigned n)
{
__shared__ T sdata[blockSize];
unsigned int tid = threadIdx.x;
unsigned int i = blockIdx.x*(blockSize*2) + tid;
unsigned int gridSize = blockSize*gridDim.x;
sdata[tid] = (T)0;
while (i < n) { sdata[tid] += g_idata[ i ]; i += gridSize; }
__syncthreads();
reduce<T, blockSize>(g_idata, n, tid, i, sdata);
if( tid == 0 ) g_odata[blockIdx.x] = sdata[0];
}
|
4,492 | #include <stdio.h>
#include <stdlib.h>
#include <cuda.h>
#include <cuda_runtime.h>
__global__ void funcao()
{
}
int main()
{
//declaração de todas variáveis
// alocação de memória principal (host)
// Alocação dinâmica de memória para ser utilizada na GPU.
// Carrega variáveis no host.
// Copia conteúdo da variável host pra variável da GPU.
// executa kernel (função) na GPU
// Copia os resultados de processamento na GPU de volta pra variável host.
// desaloca memória do host
// desaloca memória da GPU.
return 0;
} |
4,493 | #include <stdio.h>
#include <cuda_runtime_api.h>
#include "device_launch_parameters.h"
#include <ctime>
#include <cstdlib>
#define NUM_BINS 256
#define N 9192
#define NUM_THREADS 512
__global__ void histogram(int * histogramm, int * arrays)
{
int tid = blockIdx.x * blockDim.x + threadIdx.x;
int num = arrays[tid];
histogramm[num] += 1;
}
int main(void) {
srand(time(NULL));
int a[N], b[NUM_BINS];
for (int i = 0; i < N; i++) {
a[i] = rand()%256;
}
for (int i = 0; i < NUM_BINS; i++) {
b[i] = 0;
}
int* devA;
int* devB;
cudaMalloc((void**)&devA, sizeof(int) * N);
cudaMalloc((void**)&devB, sizeof(int) * NUM_BINS);
cudaMemcpy(devA, a, sizeof(int) * N, cudaMemcpyHostToDevice);
histogram <<< ( N / NUM_THREADS), NUM_THREADS >>>(devB, devA);
cudaEvent_t syncEvent;
cudaEventCreate(&syncEvent);
cudaEventRecord(syncEvent, 0);
cudaEventSynchronize(syncEvent);
cudaMemcpy(b, devB, sizeof(int) * NUM_BINS, cudaMemcpyDeviceToHost);
for (int i = 0; i < NUM_BINS; i++)
printf("%d :: %d\n", i, b[i]);
cudaEventDestroy(syncEvent);
cudaFree(devA);
cudaFree(devB);
std::system("pause");
return 0;
} |
4,494 | #include <stdbool.h>
#include <stdio.h>
#include <string.h>
#include <getopt.h>
#include <curand_kernel.h>
#include <stdlib.h>
#include <cuda.h>
#include <sys/time.h>
#include "BFSLevels.cu"
#include<chrono>
#include<iostream>
using namespace std;
using namespace std::chrono;
int blocks_[20][2] = {{8,8},{16,16},{24,24},{32,32},{1,64},{1,128},{1,192},{1,256},{1,320},{1,384},{1,448},{1,512},{1,576},{1,640},{1,704},{1,768},{1,832},{1,896},{1,960},{1,1024}};
int matrices_[7][2] = {{240,240},{496,496},{784,784},{1016,1016},{1232,1232},{1680,1680},{2024,2024}};
int main(int argc, char **argv) {
cudaSetDevice(0);
char* p;int matrix_len=strtol(argv[1], &p, 10);
for(int matrix_looper=0;matrix_looper<matrix_len;matrix_looper++){
for(int block_looper=0;block_looper<20;block_looper++){
int XSIZE=matrices_[matrix_looper][0],YSIZE=matrices_[matrix_looper][1],BLOCKX=blocks_[block_looper][0],BLOCKY=blocks_[block_looper][1];
int *vertices = NULL;
cudaMalloc(&vertices, XSIZE*YSIZE);
int *edges = NULL;
cudaMalloc(&edges, XSIZE*YSIZE);
int *distances = NULL;
cudaMalloc(&distances, XSIZE*YSIZE);
int *predecessors = NULL;
cudaMalloc(&predecessors, XSIZE*YSIZE);
int *vertIndices = NULL;
cudaMalloc(&vertIndices, XSIZE*YSIZE);
int *edgeSize = NULL;
cudaMalloc(&edgeSize, XSIZE*YSIZE);
bool *levels = NULL;
cudaMalloc(&levels, XSIZE*YSIZE);
bool *visitedVertices = NULL;
cudaMalloc(&visitedVertices, XSIZE*YSIZE);
bool *foundDest = NULL;
cudaMalloc(&foundDest, XSIZE*YSIZE);
int numVert = 1;
int destination = 1;
int iXSIZE= XSIZE;
int iYSIZE= YSIZE;
while(iXSIZE%BLOCKX!=0)
{
iXSIZE++;
}
while(iYSIZE%BLOCKY!=0)
{
iYSIZE++;
}
dim3 gridBlock(iXSIZE/BLOCKX, iYSIZE/BLOCKY);
dim3 threadBlock(BLOCKX, BLOCKY);
cudaFree(0);
BFSLevels<<<gridBlock,threadBlock>>>(vertices,edges,distances,predecessors,vertIndices,edgeSize,levels,visitedVertices,foundDest,numVert,destination);
cudaDeviceSynchronize();
for (int loop_counter = 0; loop_counter < 10; ++loop_counter) {
BFSLevels<<<gridBlock,threadBlock>>>(vertices,edges,distances,predecessors,vertIndices,edgeSize,levels,visitedVertices,foundDest,numVert,destination);
}
auto start = steady_clock::now();
for (int loop_counter = 0; loop_counter < 1000; loop_counter++) {
BFSLevels<<<gridBlock,threadBlock>>>(vertices,edges,distances,predecessors,vertIndices,edgeSize,levels,visitedVertices,foundDest,numVert,destination);
}
auto end = steady_clock::now();
auto usecs = duration_cast<duration<float, microseconds::period> >(end - start);
cout <<'['<<usecs.count()<<','<<'('<<BLOCKX<<','<<BLOCKY<<')' << ','<<'('<<XSIZE<<','<<YSIZE<<')'<<']' << endl;
}
}} |
4,495 | #include "includes.h"
__global__ void assemble_boundary_accel_on_device(float * d_accel, const float * d_send_accel_buffer, const int num_interfaces, const int max_nibool_interfaces, const int * d_nibool_interfaces, const int * d_ibool_interfaces){
int id;
int iglob;
int iloc;
int iinterface;
id = threadIdx.x + (blockIdx.x) * (blockDim.x) + ((gridDim.x) * (blockDim.x)) * (threadIdx.y + (blockIdx.y) * (blockDim.y));
for (iinterface = 0; iinterface <= num_interfaces - (1); iinterface += 1) {
if (id < d_nibool_interfaces[iinterface]) {
iloc = id + (max_nibool_interfaces) * (iinterface);
iglob = d_ibool_interfaces[iloc] - (1);
atomicAdd(d_accel + (iglob) * (3) + 0, d_send_accel_buffer[(iloc) * (3) + 0]);
atomicAdd(d_accel + (iglob) * (3) + 1, d_send_accel_buffer[(iloc) * (3) + 1]);
atomicAdd(d_accel + (iglob) * (3) + 2, d_send_accel_buffer[(iloc) * (3) + 2]);
}
}
} |
4,496 | #include <iostream>
#include "../ginkgo/GOrderHandler.h"
#include <thrust/device_vector.h>
#define def_dvec(t) thrust::device_vector<t>
using namespace std;
__global__ void test(){
// Creating an OrderHandler struct
gpu_ginkgo::OrderHandler<100, 10> ggoh(1024, 10);
ggoh.showOrderBookInfo();
ggoh.loadStrategy(33, 0., 0.);
// Start Updating Book
printf("{{{{{{{{{{{{{ NEW BOOK UPDATE }}}}}}}}}}}}}\n");
int bz1[10] = {1,2,3,4,5,5,4,3,2,1};
int ap1 = 1029, bp1 = 1028;
double mp1 = 1028.5;
ggoh.getTimeInfo(1., 0.2);
ggoh.bookUpdateSim(bz1, ap1, bp1, mp1);
ggoh.cancelAndSendNewOrders();
ggoh.showBasicInfo();
ggoh.showOrderBookInfo();
// New book Update
printf("{{{{{{{{{{{{{ NEW BOOK UPDATE }}}}}}}}}}}}}\n");
int bz2[10] = {1, 3, 5, 7, 9, 11, 11, 9, 7, 5};
int ap2 = 1030, bp2 = 1029;
double mp2 = 1029.5;
ggoh.getTimeInfo(1.3, 0.2);
ggoh.bookUpdateSim(bz2, ap2, bp2, mp2);
ggoh.cancelAndSendNewOrders();
ggoh.showBasicInfo();
ggoh.showOrderBookInfo();
// New book Update
printf("{{{{{{{{{{{{{ NEW BOOK UPDATE }}}}}}}}}}}}}\n");
int bz3[10] = {3, 23, 4, 2, 3, 1, 9, 9, 7, 5};
int ap3 = 1032, bp3 = 1031;
double mp3 = 1031.5;
ggoh.getTimeInfo(1.3, 0.2);
ggoh.bookUpdateSim(bz3, ap3, bp3, mp3);
ggoh.cancelAndSendNewOrders();
ggoh.showBasicInfo();
ggoh.showOrderBookInfo();
// trade
printf("{{{{{{{{{{{{{ TRADE COMES }}}}}}}}}}}}}\n");
int tv = 32;
ggoh.getTimeInfo(1.6, 0.2);
ggoh.processTrade(true, 1028, tv);
ggoh.cancelAndSendNewOrders();
ggoh.showBasicInfo();
ggoh.showOrderBookInfo();
// Test finished
printf("\n <<< TEST FINISHED !!! >>>\n");
}
int main(){
def_dvec(float) dev_out(1, 0);
test<<<1, 1>>>();
return 0;
} |
4,497 | #include <cuda.h>
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
// Multiplicacion de Mini Matriz - Matriz
__global__ void multMatKernel(double *d_a, double *d_b, double *d_c, int NRA,
int NCA, int NCB) {
int row = blockIdx.y * blockDim.y + threadIdx.y;
int col = blockIdx.x * blockDim.x + threadIdx.x;
if (row < NRA && col < NCB) {
double result = 0;
for (int j = 0; j < NCA; j++) {
result += d_a[row * NCA + j] * d_b[j * NCB + col];
}
d_c[row * NCB + col] = result;
}
}
void multMatCUDA(double *M_a, double *M_b, double *R_c, int NRA, int NCA,
int NCB) {
float blockSize = 32;
double *d_a, *d_b, *d_c;
// Asignacion de memoria en el device
cudaMalloc(&d_a, sizeof(double) * NRA * NCA);
cudaMalloc(&d_b, sizeof(double) * NCA * NCB);
cudaMalloc(&d_c, sizeof(double) * NRA * NCB);
cudaMemcpy(d_a, M_a, NRA * NCA * sizeof(double), cudaMemcpyHostToDevice);
cudaMemcpy(d_b, M_b, NCA * NCB * sizeof(double), cudaMemcpyHostToDevice);
dim3 dimBlock(blockSize, blockSize, 1);
dim3 dimGrid(ceil(NCB / blockSize), ceil(NRA / blockSize), 1);
multMatKernel<<<dimGrid, dimBlock>>>(d_a, d_b, d_c, NRA, NCA, NCB);
cudaMemcpy(R_c, d_c, NRA * NCB * sizeof(double), cudaMemcpyDeviceToHost);
cudaFree(d_a);
cudaFree(d_b);
cudaFree(d_c);
}
|
4,498 | // Ref: https://github.com/PacktPublishing/Hands-On-GPU-Accelerated-Computer-Vision-with-OpenCV-and-CUDA/blob/master/Chapter2/01_variable_addition_value.cu
#include <iostream>
#include <cuda.h>
#include <cuda_runtime.h>
#include <stdio.h>
__global__ void gpuAdd(int d_a, int d_b, int* d_c) {
*d_c = d_a + d_b;
}
int main() {
int h_c;
int* d_c;
cudaMalloc((void**)&d_c, sizeof(int));
gpuAdd<<<1, 1>>>(1, 4, d_c);
cudaMemcpy(&h_c, d_c, sizeof(int), cudaMemcpyDeviceToHost);
cudaFree(d_c);
return 0;
} |
4,499 | #include <cuda_runtime.h>
#include <iostream>
#include <stdlib.h>
#define BLOCK_SIZE 16
#define HISTOGRAM_LENGTH 256
/* kernel to convert image to unsigned char format */
__global__ void greyscale(float* input, unsigned char* output, int height, int width, int channels) {
// shared memory
__shared__ float rgbBlock[BLOCK_SIZE * BLOCK_SIZE * 3];
// get coordinates
int col = threadIdx.x + BLOCK_SIZE * blockIdx.x;
int row = threadIdx.y + BLOCK_SIZE * blockIdx.y;
// load to shared memory and do computation
if (row < height && col < width) {
// offsets
int greyOffset = row * width + col;
// load to shared memory
for (int i = 0; i < channels; i++)
rgbBlock[(threadIdx.x + BLOCK_SIZE * threadIdx.y) * channels + i] = input[(row * width + col) * channels + i];
// convert input float value to unsigned char
unsigned char r = (unsigned char) (255 * rgbBlock[(threadIdx.x + BLOCK_SIZE * threadIdx.y) * channels]);
unsigned char g = (unsigned char) (255 * rgbBlock[(threadIdx.x + BLOCK_SIZE * threadIdx.y) * channels + 1]);
unsigned char b = (unsigned char) (255 * rgbBlock[(threadIdx.x + BLOCK_SIZE * threadIdx.y) * channels + 2]);
// greyscale
output[greyOffset] = (unsigned char) (0.21 * r + 0.71 * g + 0.07 * b);
}
}
/* trash kernel to generate histogram */
__global__ void trash_histogram(unsigned char* image, int* output, int height, int width) {
// indices in image
int row = threadIdx.y + BLOCK_SIZE * blockIdx.y;
int col = threadIdx.x + BLOCK_SIZE * blockIdx.x;
// increment data to histogram
if (row < height && col < width) {
unsigned char pixel = image[row * width + col];
atomicAdd(&output[pixel], 1);
}
}
/* kernel to generate histogram */
__global__ void histogram(unsigned char* image, int* output, int height, int width) {
// shared memory
__shared__ int histo[HISTOGRAM_LENGTH];
// initialize shared memory to 0
int t = threadIdx.x + threadIdx.y * BLOCK_SIZE;
if (t < HISTOGRAM_LENGTH)
histo[t] = 0;
// allow threads to finish putting in 0's to histo
__syncthreads();
// indices in image
int row = threadIdx.y + BLOCK_SIZE * blockIdx.y;
int col = threadIdx.x + BLOCK_SIZE * blockIdx.x;
// increment data to histogram
if (row < height && col < width) {
unsigned char pixel = image[row * width + col];
atomicAdd(&histo[pixel], 1);
}
// allow threads in block to finish incrementing data in histo
__syncthreads();
// increment output with histo's data for this block
if (t < HISTOGRAM_LENGTH)
atomicAdd(&output[t], histo[t]);
}
/* scan kernel to generate CDF of histogram */
__global__ void CDF(int* histogram, float* output, int height, int width) {
// shared memory
__shared__ float cdf[HISTOGRAM_LENGTH];
// load data to shared memory
cdf[threadIdx.x] = (float) histogram[threadIdx.x];
cdf[blockDim.x + threadIdx.x] = (float) histogram[blockDim.x + threadIdx.x];
// reduction step
for (int stride = 1; stride <= blockDim.x; stride *= 2) {
__syncthreads();
int index = (threadIdx.x + 1) * 2 * stride - 1;
if (index < 2 * blockDim.x)
cdf[index] += cdf[index - stride];
}
// post-scan step
for (int stride = blockDim.x / 2; stride > 0; stride /= 2) {
__syncthreads();
int index = (threadIdx.x + 1) * stride * 2 - 1;
if (index + stride < blockDim.x * 2)
cdf[index + stride] += cdf[index];
}
// write result to output
__syncthreads();
output[threadIdx.x] = cdf[threadIdx.x] / (width * height);
output[threadIdx.x + blockDim.x] = cdf[threadIdx.x + blockDim.x] / (width * height);
}
/* kernel to do equalization */
__global__ void equalization(float* input, float* cdf, float* output, int height, int width) {
int row = blockIdx.y * blockDim.y + threadIdx.y;
int col = blockIdx.x * blockDim.x + threadIdx.x;
// do equalization
if (row < height && col < width) {
unsigned char val = (unsigned char) (255 * input[blockIdx.z * width * height + width * row + col]);
float temp = 255 * (cdf[val] - cdf[0]) / (1.0 - cdf[0]);
float clamp = min(max(temp, 0.0), 255.0);
output[blockIdx.z * width * height + width * row + col] = clamp / 255.0;
}
}
int main() {
// init image
const int height = 9;
const int width = 9;
const int channels = 3;
float imageHost[height * width * channels];
// fill image array
for (int i = 0; i < height * width * channels; i++)
imageHost[i] = (float) rand() / RAND_MAX;
// intermediate arrays
float* imageDevice;
unsigned char* greyscaleDevice;
int* histogramDevice;
float* CDFDevice;
float* outputDevice;
float* outputHost;
// space allocation for intermediate arrays
cudaMalloc((void**) &imageDevice, sizeof(float) * height * width * channels);
cudaMalloc((void**) &greyscaleDevice, sizeof(unsigned char) * height * width);
cudaMalloc((void**) &histogramDevice, sizeof(int) * HISTOGRAM_LENGTH);
cudaMalloc((void**) &CDFDevice, sizeof(float) * HISTOGRAM_LENGTH);
cudaMalloc((void**) &outputDevice, sizeof(float) * height * width * channels);
// assign data
cudaMemcpy(imageDevice, imageHost, sizeof(float) * height * width * channels, cudaMemcpyHostToDevice);
cudaMemset(histogramDevice, 0, sizeof(int) * HISTOGRAM_LENGTH);
// allocate memory for output
outputHost = (float*) malloc(sizeof(float) * height * width * channels);
// dim sizes
dim3 blockDim;
dim3 gridDim;
// greyscale the image
blockDim = dim3(BLOCK_SIZE, BLOCK_SIZE, 1);
gridDim = dim3(ceil(((float)width) / BLOCK_SIZE), ceil(((float)height / BLOCK_SIZE)), 1);
greyscale<<<gridDim, blockDim>>>(imageDevice, greyscaleDevice, height, width, channels);
cudaDeviceSynchronize();
// trash histogram creation for benchmarking
// blockDim = dim3(BLOCK_SIZE, BLOCK_SIZE, 1);
// gridDim = dim3(ceil(((float)width) / BLOCK_SIZE), ceil(((float)height / BLOCK_SIZE)), 1);
// trash_histogram<<<gridDim, blockDim>>>(greyscaleDevice, histogramDevice, height, width);
// cudaDeviceSynchronize();
// create histogram
blockDim = dim3(BLOCK_SIZE, BLOCK_SIZE, 1);
gridDim = dim3(ceil(((float)width) / BLOCK_SIZE), ceil(((float)height / BLOCK_SIZE)), 1);
histogram<<<gridDim, blockDim>>>(greyscaleDevice, histogramDevice, height, width);
cudaDeviceSynchronize();
// create CDF from histogram
blockDim = dim3(HISTOGRAM_LENGTH / 2);
gridDim = dim3(1, 1, 1);
CDF<<<gridDim, blockDim>>>(histogramDevice, CDFDevice, height, width);
cudaDeviceSynchronize();
// equalize image from CDF
blockDim = dim3(BLOCK_SIZE, BLOCK_SIZE, 1);
gridDim = dim3(ceil(((float)width) / BLOCK_SIZE), ceil(((float)height / BLOCK_SIZE)), channels);
equalization<<<gridDim, blockDim>>>(imageDevice, CDFDevice, outputDevice, height, width);
cudaMemcpy(outputHost, outputDevice, sizeof(float) * height * width * channels, cudaMemcpyDeviceToHost);
// DO NOT COPY OVER: for testing purposes only
for (int i = 0; i < height * width * channels; i++)
std::cout << imageHost[i] * 255 << " ";
std::cout << std::endl;
std::cout << std::endl;
for (int i = 0; i < height * width * channels; i++)
std::cout << outputHost[i] << " ";
std::cout << std::endl;
// free memory on device and host
cudaFree(imageDevice);
cudaFree(greyscaleDevice);
cudaFree(histogramDevice);
cudaFree(CDFDevice);
cudaFree(outputDevice);
free(outputHost);
// success
return 0;
}
|
4,500 | #include <stdio.h>
#include <cuda_runtime.h>
#include <unistd.h>
#include <vector>
#include <assert.h>
#include <signal.h>
#define gpuErrchk(ans) { gpuAssert((ans), __FILE__, __LINE__); }
inline void gpuAssert(cudaError_t code, const char *file, int line,
bool abort = true)
{
if (code != cudaSuccess) {
fprintf(stderr, "GPUassert: %s %s %d\n", cudaGetErrorString(code),
file, line);
if (abort)
exit(code);
}
}
__global__ void kernel(int number_of_threads,int * managed)
{
int index = blockIdx.x * blockDim.x * blockDim.y * blockDim.z
+ threadIdx.z * blockDim.y * blockDim.x + threadIdx.y * blockDim.x + threadIdx.x;
printf("[D] I am %d\n",index );
*managed = 1;
}
int main(int argc, char **argv)
{
int opt, BLOCKS = 1, THREADS = 1, error = 0;
while ((opt = getopt(argc, argv, "b:t:e:")) != -1) {
switch (opt)
{
case 'b':
BLOCKS = atoi(optarg);
break;
case 't':
THREADS = atoi(optarg);
break;
case 'e':
error = atoi(optarg);
break;
default:
fprintf(stderr, "Usage: %s -b [blocks] -t [threads]\n",
argv[0]);
exit(EXIT_FAILURE);
}
}
int * managed;
gpuErrchk(cudaMallocManaged((void **) &managed,sizeof(int)));
*managed = 0;
kernel <<< BLOCKS, THREADS >>> (BLOCKS * THREADS, managed);
if(error){
*managed = 2;
gpuErrchk(cudaDeviceSynchronize());
}else{
printf("[H] before cudaDeviceSynchronize\n");
gpuErrchk(cudaDeviceSynchronize());
assert(*managed != 0);
printf("[H] After cudaDeviceSynchronize managed:%d\n",*managed);
*managed = 2;
printf("[H] After cpu access managed:%d\n",*managed);
}
return 0;
}
|
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