A3DMatrix operator * (const A3DMatrix& mat1, const A3DMatrix& mat2)
{
A3DMatrix mat;
MatrixMul(mat, mat1, mat2, 4);
mat.Normalise();
return mat;
}
int main(int argc, char ** argv)
{
char op;
char mStr[1024];
matrix ans, m1, m2;
int sc = 0;
if(argc > 1){
op = getOp(argv[1]);
} else {
printf("Which operation: ");
op = getOp(NULL);
}
printf("First matrix:\n");
scanf("%s", mStr);
m1 = MatrixInit(mStr);
if(op == 'a' || op == 's' || op == 'm'){
printf("Second matrix:\n");
scanf("%s", mStr);
m2 = MatrixInit(mStr);
} else if(op == 'c') {
printf("Scalar multiple:\n");
scanf("%d", &sc);
}
switch(op){
case 'a':
ans = MatrixAdd(m1, m2);
break;
case 's':
ans = MatrixSub(m1, m2);
break;
case 'm':
ans = MatrixMul(m1, m2);
break;
case 'i':
ans = MatrixInv(m1);
break;
case 'c':
ans = MatrixSMul(m1, i2f(sc));
break;
default:
printf("Something went very wrong.\n");
return 1;
}
printf("Answer:\n");
MatrixPrint(ans);
MatrixFree(m1);
MatrixFree(ans);
if(op == 'a' || op == 's' || op == 'm'){
MatrixFree(m2);
}
return 0;
}
int main(int argc, char *argv[]) {
int A[2][2]={1,1,1,1};
int B[2][2]={1,1,1,1};
printf("%d ",MatrixMul(A,B));
return 0;
}
A3DMatrix& A3DMatrix::operator *= (double val)
{
if (val != 1.0) {
A3DMatrix mat;
mat.a11 = mat.a22 = mat.a33 = val;
MatrixMul(*this, *this, mat, 4);
Normalise();
}
return *this;
}
//============================================================================//
//== 卡尔曼滤波 ==//
//============================================================================//
//==入口参数: 无 ==//
//==出口参数: 无 ==//
//==返回值: 无 ==//
//============================================================================//
void KalMan(void)
{
unsigned char i;
unsigned short j;
srand(SEED);
for (i=0; i<X_LENGTH; i++)
{
tOpt.XPreOpt[i] = Temp2[i]; //零值初始化
}
for (i=0; i<P_LENGTH; i++)
{
tCov.PPreOpt[i] = Temp4[i]; //零值初始化
}
for (j=0; j<N; j++)
{
Watch1[j] = sin(2*3.14159265/100.0*j);
Y[0] = Watch1[j] + Random1(0, 0.4);
Watch2[j] = Y[0];
MatrixMul(A, tOpt.XPreOpt, X, A_ROW, X_ROW, X_COLUMN); // 基于系统的上一状态而预测现在状态; X(k|k-1) = A(k,k-1)*X(k-1|k-1)
MatrixCal1(A, tCov.PPreOpt, Temp4, SYS_ORDER);
MatrixAdd(Temp4, Q, P, P_ROW, P_COLUMN); // 预测数据的协方差矩阵; P(k|k-1) = A(k,k-1)*P(k-1|k-1)*A(k,k-1)'+Q
MatrixCal2(C, P, Temp1, C_ROW, C_COLUMN);
MatrixAdd(Temp1, R, Temp1, R_ROW, R_COLUMN);
Gauss_Jordan(Temp1, C_ROW);
MatrixTrans(C, Temp2, C_ROW, C_COLUMN);
MatrixMul(P, Temp2, Temp22, P_ROW, C_COLUMN, C_ROW);
MatrixMul(Temp22, Temp1, K, P_ROW, C_ROW, C_ROW); // 计算卡尔曼增益; K(k) = P(k|k-1)*C' / (C(k)*P(k|k-1)*C(k)' + R)
MatrixMul(C, X, Temp1, C_ROW, X_ROW, X_COLUMN);
MatrixMinus(Y, Temp1, Temp1, Y_ROW, Y_COLUMN);
MatrixMul(K, Temp1, Temp2, K_ROW, Y_ROW, Y_COLUMN);
MatrixAdd(X, Temp2, tOpt.XNowOpt, X_ROW, X_COLUMN); // 根据估测值和测量值计算当前最优值; X(k|k) = X(k|k-1)+Kg(k)*(Y(k)-C*X(k|k-1))
MatrixMul(K, C, Temp4, K_ROW, C_ROW, C_COLUMN);
MatrixMinus(I, Temp4, Temp4, I_ROW, I_COLUMN);
MatrixMul(Temp4, P, tCov.PNowOpt, I_ROW, P_ROW, P_COLUMN); // 计算更新后估计协防差矩阵; P(k|k) =（I-Kg(k)*C）*P(k|k-1)
for (i=0; i<X_LENGTH; i++)
{
tOpt.XPreOpt[i] = tOpt.XNowOpt[i];
}
for (i=0; i<P_LENGTH; i++)
{
tCov.PPreOpt[i] = tCov.PNowOpt[i];
}
Watch3[j] = tOpt.XNowOpt[0];
}//end of for
}
/** Multiplies mx by f.
* Returns materr(1) if the initialization
* of sc didn't go right.
*/
matrix MatrixSMul(matrix mx, frac f)
{
matrix sc = initialize(mx.columns, mx.columns);
if (sc.mx == NULL) {
return materr(1);
}
for(int i = 0; i < mx.columns; i++) {
sc.mx[i][i] = f;
}
return MatrixMul(mx, sc);
}
//============================================================================//
//== 卡尔曼滤波 ==//
//============================================================================//
//==入口参数: 无 ==//
//==出口参数: 无 ==//
//==返回值: 无 ==//
//============================================================================//
void KalMan(u16* in,u16* out)
{
unsigned char i;
// unsigned short k;
for (i=0; i<LENGTH; i++)
{
tOpt.XPreOpt[i] = Temp1[i]; //零值初始化
}
for (i=0; i<LENGTH; i++)
{
tCov.PPreOpt[i] = Temp2[i]; //零值初始化
}
// for (k=0; k<N; k++)
// {
Z[0] = in[0];//(float)ADCSampling();
MatrixMul(F, tOpt.XPreOpt, X, ORDER, ORDER, ORDER); // 基于系统的上一状态而预测现在状态; X(k|k-1) = F(k,k-1)*X(k-1|k-1)
MatrixCal(F, tCov.PPreOpt, Temp1, ORDER);
MatrixAdd(Temp1, Q, P, ORDER, ORDER); // 预测数据的协方差矩阵; P(k|k-1) = F(k,k-1)*P(k-1|k-1)*F(k,k-1)'+Q
MatrixCal(H, P, Temp1, ORDER);
MatrixAdd(Temp1, R, Temp1, ORDER, ORDER);
Gauss_Jordan(Temp1, ORDER);
MatrixTrans(H, Temp2, ORDER, ORDER);
MatrixMul(P, Temp2, Temp3, ORDER, ORDER, ORDER);
MatrixMul(Temp1, Temp3, K, ORDER, ORDER, ORDER); // 计算卡尔曼增益; Kg(k) = P(k|k-1)*H' / (H*P(k|k-1)*H' + R)
MatrixMul(H, X, Temp1, ORDER, ORDER, ORDER);
MatrixMinus(Z, Temp1, Temp1, ORDER, ORDER);
MatrixMul(K, Temp1, Temp2, ORDER, ORDER, ORDER);
MatrixAdd(X, Temp2, tOpt.XNowOpt, ORDER, ORDER); // 根据估测值和测量值计算当前最优值; X(k|k) = X(k|k-1)+Kg(k)*(Z(k)-H*X(k|k-1))
MatrixMul(K, H, Temp1, ORDER, ORDER, ORDER);
MatrixMinus(I, Temp1, Temp1, ORDER, ORDER);
MatrixMul(Temp1, P, tCov.PNowOpt, ORDER, ORDER, ORDER); // 计算更新后估计协防差矩阵; P(k|k) =（I-Kg(k)*H）*P(k|k-1)
for (i=0; i<LENGTH; i++)
{
tOpt.XPreOpt[i] = tOpt.XNowOpt[i];
tCov.PPreOpt[i] = tCov.PNowOpt[i];
}
out[0]=(u16)(tOpt.XNowOpt[0]);
// }
}
VMatrix VMatrix::operator*(const VMatrix &vm) const
{
VMatrix ret;
MatrixMul( vm, ret );
return ret;
}
//-------------------main function starts here------------------------------------
void main()
{
float a[ROW][COL], b[ROW][COL];
int m[2], n[2], choice,i,j,temp;
bool flag, flag1=true;
//-------------from the following the size of matrix is tested with proper input----------------------
cout<<"Enter the dimention of the 1st matrix :"<<endl;
for(i=0;i<2;i++)
{
flag = false;
while(!flag)
{
cin >> temp;
if(temp>0 && !cin.fail() && (cin.peek() == EOF || cin.peek() == '\n'))
{
flag = true;
m[i]=temp;
}
else
{
cout << "Please Enter valid data" << endl;
cin.clear();
cin.ignore(numeric_limits<streamsize>::max(), '\n');
}
}
}
cout<<"Enter the dimention of the 2nd matrix :"<<endl;
for(i=0;i<2;i++)
{
flag = false;
while(!flag)
{
cin >> temp;
if(temp>0 && !cin.fail() && (cin.peek() == EOF || cin.peek() == '\n'))
{
flag = true;
n[i]=temp;
}
else
{
cout << "Please Enter valid data" << endl;
cin.clear();
cin.ignore(numeric_limits<streamsize>::max(), '\n');
}
}
}
//---------------input for 1st matrix starts here----------------------
cout<<"Enter the 1st matrix"<<endl;
for(i=0;i<m[0];i++)
{
for(j=0;j<m[1];j++)
cin>>a[i][j];
}
//--------------input for 2nd matrix strts here-------------------------
cout<<"Enter the 2nd matrix"<<endl;
for(i=0;i<n[0];i++)
{
for(j=0;j<n[1];j++)
cin>>b[i][j];
}
//-------------Choice for Matrix operation to select------------------
while(1)
{
if(!flag1)
{
exit(0);
}
cout<<"Select the operation to perform with the above matrix \n 1. Addition\n 2. Subtraction\n 3. Multiplication"<<endl;
cin>>choice;
switch(choice)
{
case 1:
if(m[0]!=n[0] || m[1]!=n[1])
cout<<"Matrix cannot be added"<<endl;
else
MatrixAdd(a,b,m);
break;
case 2:
if(m[0]!=n[0] || m[1]!=n[1])
cout<<"Matrix cannot be subtracted"<<endl;
else
MatrixSub(a,b,m);
break;
case 3:
if(m[1]!=n[0])
cout<<"Matrix cannot be multiplied";
else
MatrixMul(a,b,m,n);
break;
default:
cout<<"Invalid Input!!"<<endl;
}
//-----------------Asked for continuity or to exit-------------------------------
cout<<"Enter 1 to try again or else 0 to exit : ";
cin>>flag1;
}
}
void Matrix44::Multiply(const Matrix44 &a, const Matrix44 &b, Matrix44 &result)
{
MatrixMul(4, a.data, b.data, result.data);
}
void Matrix33::Multiply(const Matrix33 &a, const Matrix33 &b, Matrix33 &result)
{
MatrixMul(3, a.data, b.data, result.data);
}
// Draw the scene to the screen
void draw() {
// Update time
time += 2.0f * timeStep;
/////////////////////// PART 1: SIMULATION /////////////////////////////////
// Grab buffers for OpenCL
acquireGLBuffer(particles.particleBuffer[particles.currentBuffer]);
acquireGLBuffer(particles.particleBuffer[1 - particles.currentBuffer]);
// Prepare to run some kernels
cl_int numParticles = NUM_PARTICLES;
cl_int gridElements = GRID_SIZE * GRID_SIZE * GRID_SIZE;
cl_uint workSize[3] = {numParticles, 0, 0};
cl_uint gridWorkSize[3] = {gridElements, 0, 0};
cl_uint workgroupSize[3] = {256, 0, 0};
// Clear grid
clSetKernelArg(openCLKernels.gridClearKernel, 0, sizeof(cl_mem), &particles.gridSizeBuffer);
clSetKernelArg(openCLKernels.gridClearKernel, 1, sizeof(cl_int), &gridElements);
clRunKernel(openCLKernels.gridClearKernel, gridWorkSize, workgroupSize);
// Compute grid positions
clSetKernelArg(openCLKernels.gridKernel, 0, sizeof(cl_mem), &particles.particleBuffer[particles.currentBuffer]);
clSetKernelArg(openCLKernels.gridKernel, 1, sizeof(cl_mem), &particles.offsetBuffer);
clSetKernelArg(openCLKernels.gridKernel, 2, sizeof(cl_mem), &particles.gridSizeBuffer);
clSetKernelArg(openCLKernels.gridKernel, 3, sizeof(cl_int), &numParticles);
clRunKernel(openCLKernels.gridKernel, workSize, workgroupSize);
// Compute prefix sum for grid
clSetKernelArg(openCLKernels.prefixSumKernel, 2, sizeof(cl_uint), (void*)&gridElements);
int pingpong = 0;
for(cl_int offset = 1; offset <= gridElements; offset *= 2) {
if(offset == 1) {
clSetKernelArg(openCLKernels.prefixSumKernel, 0, sizeof(cl_mem), (void*)&particles.gridSizeBuffer);
}
else {
clSetKernelArg(openCLKernels.prefixSumKernel, 0, sizeof(cl_mem), (void*)&(pingpong == 0 ? particles.gridBuffer[0] : particles.gridBuffer[1]));
}
clSetKernelArg(openCLKernels.prefixSumKernel, 1, sizeof(cl_mem), (void*)&(pingpong == 0 ? particles.gridBuffer[1] : particles.gridBuffer[0]));
clSetKernelArg(openCLKernels.prefixSumKernel, 3, sizeof(cl_int), (void*)&offset);
clRunKernel(openCLKernels.prefixSumKernel, gridWorkSize, workgroupSize);
pingpong = 1 - pingpong;
}
// Reorganize particles
clSetKernelArg(openCLKernels.gridReorderKernel, 0, sizeof(cl_mem), &particles.particleBuffer[particles.currentBuffer]);
clSetKernelArg(openCLKernels.gridReorderKernel, 1, sizeof(cl_mem), &particles.particleBuffer[1 - particles.currentBuffer]);
clSetKernelArg(openCLKernels.gridReorderKernel, 2, sizeof(cl_mem), &particles.velocityBuffer[particles.currentBuffer]);
clSetKernelArg(openCLKernels.gridReorderKernel, 3, sizeof(cl_mem), &particles.velocityBuffer[1 - particles.currentBuffer]);
clSetKernelArg(openCLKernels.gridReorderKernel, 4, sizeof(cl_mem), &particles.offsetBuffer);
clSetKernelArg(openCLKernels.gridReorderKernel, 5, sizeof(cl_mem), (void*)&particles.gridSizeBuffer);
clSetKernelArg(openCLKernels.gridReorderKernel, 6, sizeof(cl_mem), (void*)&(pingpong == 0 ? particles.gridBuffer[0] : particles.gridBuffer[1]));
clSetKernelArg(openCLKernels.gridReorderKernel, 7, sizeof(cl_int), &numParticles);
clRunKernel(openCLKernels.gridReorderKernel, workSize, workgroupSize);
particle* testData = (particle*)malloc(sizeof(cl_float) * numParticles * 4);
// Swap particle buffers
particles.currentBuffer = 1 - particles.currentBuffer;
// Send new cell select buffer
int cellSelect[27];
for(int i = 0; i < 27; i++) {
cellSelect[i] = i;
}
shuffle(cellSelect, 27);
clEnqueueWriteBuffer(clCommandQueue(), particles.cellSelectBuffer, true, 0, 27 * sizeof(cl_int), cellSelect, 0, 0, 0);
clFinish(clCommandQueue());
// Recalculate densities and normalized pressure derivatives
clSetKernelArg(openCLKernels.dataKernel, 0, sizeof(cl_mem), &particles.particleBuffer[particles.currentBuffer]);
clSetKernelArg(openCLKernels.dataKernel, 1, sizeof(cl_mem), &particles.dataBuffer);
clSetKernelArg(openCLKernels.dataKernel, 2, sizeof(cl_mem), (void*)&particles.gridSizeBuffer);
clSetKernelArg(openCLKernels.dataKernel, 3, sizeof(cl_mem), (void*)&(pingpong == 0 ? particles.gridBuffer[1] : particles.gridBuffer[0]));
clSetKernelArg(openCLKernels.dataKernel, 4, sizeof(cl_mem), (void*)&particles.cellSelectBuffer);
clSetKernelArg(openCLKernels.dataKernel, 5, sizeof(cl_int), &numParticles);
clRunKernel(openCLKernels.dataKernel, workSize, workgroupSize);
// Send new cell select buffer
cellSelect[27];
for(int i = 0; i < 27; i++) {
cellSelect[i] = i;
}
shuffle(cellSelect, 27);
clEnqueueWriteBuffer(clCommandQueue(), particles.cellSelectBuffer, true, 0, 27 * sizeof(cl_int), cellSelect, 0, 0, 0);
clFinish(clCommandQueue());
// Integrate position
float dT = timeStep;
clSetKernelArg(openCLKernels.simulationKernel, 0, sizeof(cl_mem), &particles.particleBuffer[particles.currentBuffer]);
clSetKernelArg(openCLKernels.simulationKernel, 1, sizeof(cl_mem), &particles.particleBuffer[1 - particles.currentBuffer]);
clSetKernelArg(openCLKernels.simulationKernel, 2, sizeof(cl_mem), &particles.velocityBuffer[particles.currentBuffer]);
clSetKernelArg(openCLKernels.simulationKernel, 3, sizeof(cl_mem), &particles.velocityBuffer[1 - particles.currentBuffer]);
clSetKernelArg(openCLKernels.simulationKernel, 4, sizeof(cl_mem), &particles.dataBuffer);
clSetKernelArg(openCLKernels.simulationKernel, 5, sizeof(cl_mem), (void*)&particles.gridSizeBuffer);
clSetKernelArg(openCLKernels.simulationKernel, 6, sizeof(cl_mem), (void*)&(pingpong == 0 ? particles.gridBuffer[1] : particles.gridBuffer[0]));
clSetKernelArg(openCLKernels.simulationKernel, 7, sizeof(cl_mem), (void*)&particles.cellSelectBuffer);
clSetKernelArg(openCLKernels.simulationKernel, 8, sizeof(cl_float), &dT);
clSetKernelArg(openCLKernels.simulationKernel, 9, sizeof(cl_float), &time);
clSetKernelArg(openCLKernels.simulationKernel, 10, sizeof(cl_int), &numParticles);
clSetKernelArg(openCLKernels.simulationKernel, 11, sizeof(cl_mem), &particles.terrainBuffer);
PaddedVector windDir = PadVector(
TransformVector(YAxisRotationMatrix(particles.windAngle), MakeVector(1.0f, 0.0f, 0.0f))
);
clSetKernelArg(openCLKernels.simulationKernel, 12, sizeof(cl_float) * 4, &windDir);
clSetKernelArg(openCLKernels.simulationKernel, 13, sizeof(cl_float), &particles.windPower);
clRunKernel(openCLKernels.simulationKernel, workSize, workgroupSize);
// Release buffers back to OpenGL
releaseGLBuffer(particles.particleBuffer[particles.currentBuffer]);
releaseGLBuffer(particles.particleBuffer[1 - particles.currentBuffer]);
// Swap particle buffers
particles.currentBuffer = 1 - particles.currentBuffer;
//////////////////////// PART 2: RENDERIING ////////////////////////////////
// Clear everything first thing.
glClearColor(0.0f, 0.0f, 0.0f, 1.0f);
glBindFramebuffer(GL_FRAMEBUFFER, framebuffers.backgroundFBO);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
// Activate shader.
glUseProgram(objectShader.shaderProgram);
// Set projection
Matrix projection = PerspectiveMatrix(
45.0f,
(float)WINDOW_WIDTH/(float)WINDOW_HEIGHT,
0.01f,
100.0f
);
MatrixAsUniform(objectShader.projectionMatrix, projection);
// Vertices
glBindBuffer(GL_ARRAY_BUFFER, terrain.vertexBuffer);
glVertexAttribPointer(
objectShader.vertexPosition,
4,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 4,
(void*)0
);
glEnableVertexAttribArray(objectShader.vertexPosition);
// Set modelview according to camera
Matrix rot = lookatMatrix(camera.pos, VectorAdd(camera.pos, camera.front), camera.up);
rot = MatrixMul(RotationMatrix(camera.elevation, MakeVector(1, 0, 0)), rot);
Matrix trans = TranslationMatrix(-camera.pos.x, -camera.pos.y, -camera.pos.z);
Matrix modelview = MatrixMul(rot, trans);
MatrixAsUniform(objectShader.modelviewMatrix, modelview);
// Normal view matrix - inverse transpose of modelview.
Matrix normalview = MatrixTranspose(FastMatrixInverse(modelview));
MatrixAsUniform(objectShader.normalviewMatrix, normalview);
// Set heightmap texture
glActiveTexture(GL_TEXTURE0);
glBindTexture(GL_TEXTURE_2D, terrain.heightTexture );
glUniform1i(objectShader.terrainTexture, 0);
// Set color textures
glActiveTexture(GL_TEXTURE1);
glBindTexture(GL_TEXTURE_2D, terrain.lowTexture);
glUniform1i(objectShader.lowTexture, 1);
glActiveTexture(GL_TEXTURE2);
glBindTexture(GL_TEXTURE_2D, terrain.highTexture);
glUniform1i(objectShader.highTexture, 2);
// Turn off culling
glDisable(GL_CULL_FACE);
// Send element buffer to GPU and draw.
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, terrain.elementBuffer);
glDrawElements(
GL_TRIANGLES,
512 * 512 * 6,
GL_UNSIGNED_INT,
(void*)0
);
// Turn culling back on
glEnable(GL_CULL_FACE);
// Switch to low-res viewport
glViewport(0, 0, WINDOW_WIDTH / RESOLUTION_DIVIDER, WINDOW_HEIGHT / RESOLUTION_DIVIDER);
// Low-res projection matrix
Matrix projectionLowres = PerspectiveMatrix(
45.0f,
(float)(WINDOW_WIDTH / RESOLUTION_DIVIDER) / (float)(WINDOW_HEIGHT / RESOLUTION_DIVIDER),
0.01f,
100.0f
);
// Activate particle depth FBO
glClearColor(0.0f, 0.0f, 0.0f, 0.0f);
glBindFramebuffer(GL_FRAMEBUFFER, framebuffers.particleFBO[0]);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
// Activate shader
glUseProgram(particleShader.shaderProgram);
// Set textures
glActiveTexture(GL_TEXTURE0);
glBindTexture(GL_TEXTURE_2D, framebuffers.backgroundTexture);
glUniform1i(particleShader.terrainTexture, 0);
// Send uniforms
MatrixAsUniform(particleShader.modelviewMatrix, modelview);
MatrixAsUniform(particleShader.projectionMatrix, projectionLowres);
glUniform2f(particleShader.screenSize, WINDOW_WIDTH / RESOLUTION_DIVIDER, WINDOW_HEIGHT / RESOLUTION_DIVIDER);
// Bind new buffer and set up arrtibutes
glBindBuffer(GL_ARRAY_BUFFER, particles.vertexBuffer[particles.currentBuffer]);
glVertexAttribPointer(
particleShader.vertexPosition,
4,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 4,
(void*)0
);
glEnableVertexAttribArray(particleShader.vertexPosition);
// Bind element buffer and draw particles
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, particles.elementBuffer);
glDrawElements(
GL_POINTS,
NUM_PARTICLES,
GL_UNSIGNED_INT,
(void*)0
);
// Activate particle thickness FBO
glBindFramebuffer(GL_FRAMEBUFFER, framebuffers.particleThicknessFBO[0]);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
// Activate shader
glUseProgram(particleThicknessShader.shaderProgram);
// Send uniforms
MatrixAsUniform(particleThicknessShader.modelviewMatrix, modelview);
MatrixAsUniform(particleThicknessShader.projectionMatrix, projectionLowres);
glUniform2f(particleThicknessShader.screenSize, WINDOW_WIDTH / RESOLUTION_DIVIDER, WINDOW_HEIGHT / RESOLUTION_DIVIDER);
// Set textures
glActiveTexture(GL_TEXTURE0);
glBindTexture(GL_TEXTURE_2D, framebuffers.backgroundTexture);
glUniform1i(particleThicknessShader.terrainTexture, 0);
// Bind new buffer and set up arrtibutes
glBindBuffer(GL_ARRAY_BUFFER, particles.vertexBuffer[particles.currentBuffer]);
glVertexAttribPointer(
particleThicknessShader.vertexPosition,
4,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 4,
(void*)0
);
glEnableVertexAttribArray(particleThicknessShader.vertexPosition);
// Enable additive blending and disable depth test
glEnable(GL_BLEND);
glBlendFunc(GL_ONE, GL_ONE);
glDisable(GL_DEPTH_TEST);
// Bind element buffer and draw particles, this time rendering thickness map
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, particles.elementBuffer);
glDrawElements(
GL_POINTS,
NUM_PARTICLES,
GL_UNSIGNED_INT,
(void*)0
);
// Turn blending back off and depth test back on
glDisable(GL_BLEND);
glEnable(GL_DEPTH_TEST);
// Activate particle velocity FBO
glBindFramebuffer(GL_FRAMEBUFFER, framebuffers.velocityFBO);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
// Activate shader
glUseProgram(particleVelocityShader.shaderProgram);
// Send uniforms
MatrixAsUniform(particleVelocityShader.modelviewMatrix, modelview);
MatrixAsUniform(particleVelocityShader.projectionMatrix, projectionLowres);
glUniform2f(particleVelocityShader.screenSize, WINDOW_WIDTH / RESOLUTION_DIVIDER, WINDOW_HEIGHT / RESOLUTION_DIVIDER);
// Bind new buffer and set up arrtibutes
glBindBuffer(GL_ARRAY_BUFFER, particles.vertexBuffer[particles.currentBuffer]);
glVertexAttribPointer(
particleVelocityShader.vertexPosition,
4,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 4,
(void*)0
);
glEnableVertexAttribArray(particleVelocityShader.vertexPosition);
// Bind element buffer and draw particles, this time rendering velocity map
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, particles.elementBuffer);
glDrawElements(
GL_POINTS,
NUM_PARTICLES,
GL_UNSIGNED_INT,
(void*)0
);
// Curvature flow smoothing begins
glUseProgram(curvatureFlowShader.shaderProgram);
// Send uniforms
glUniform1i(curvatureFlowShader.particleTexture, 0);
glUniform2f(curvatureFlowShader.screenSize, WINDOW_WIDTH / RESOLUTION_DIVIDER, WINDOW_HEIGHT / RESOLUTION_DIVIDER);
MatrixAsUniform(curvatureFlowShader.projectionMatrix, projectionLowres);
// Prepare state
glActiveTexture(GL_TEXTURE0);
glBindBuffer(GL_ARRAY_BUFFER, screenQuad.vertexBuffer);
glVertexAttribPointer(
curvatureFlowShader.vertexPosition,
3,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 3,
(void*)0
);
glEnableVertexAttribArray(curvatureFlowShader.vertexPosition);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, screenQuad.elementBuffer);
// Smoothing loop
glDisable(GL_DEPTH_TEST);
pingpong = 0;
for(int i = 0; i < smoothingIterations; i++) {
// Bind no FBO
glBindFramebuffer(GL_FRAMEBUFFER, 0);
// Bind texture
glBindTexture(GL_TEXTURE_2D, framebuffers.particleTexture[pingpong]);
// Activate proper FBO and clear
glBindFramebuffer(GL_FRAMEBUFFER, framebuffers.particleFBO[1 - pingpong]);
// Draw a quad
glDrawElements(
GL_TRIANGLES,
6,
GL_UNSIGNED_INT,
(void*)0
);
// Switch buffers
pingpong = 1 - pingpong;
}
glEnable(GL_DEPTH_TEST);
// Activate particle color FBO
glBindFramebuffer(GL_FRAMEBUFFER, framebuffers.particleColorFBO);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
// Liquid shading shader
glUseProgram(liquidShadeShader.shaderProgram);
// Bind and set textures
glActiveTexture(GL_TEXTURE0);
glBindTexture(GL_TEXTURE_2D, framebuffers.particleTexture[0]);
glUniform1i(liquidShadeShader.particleTexture, 0);
glActiveTexture(GL_TEXTURE1);
glBindTexture(GL_TEXTURE_2D, framebuffers.particleThicknessTexture[0]);
glUniform1i(liquidShadeShader.particleThicknessTexture, 1);
glActiveTexture(GL_TEXTURE2);
glBindTexture(GL_TEXTURE_2D, terrain.envTexture);
glUniform1i(liquidShadeShader.environmentTexture, 2);
glActiveTexture(GL_TEXTURE3);
glBindTexture(GL_TEXTURE_2D, framebuffers.particleVelocityTexture);
glUniform1i(liquidShadeShader.velocityTexture, 3);
// Send uniforms
glUniform2f(liquidShadeShader.screenSize, WINDOW_WIDTH, WINDOW_HEIGHT);
MatrixAsUniform(liquidShadeShader.modelviewMatrix, modelview);
MatrixAsUniform(liquidShadeShader.projectionMatrix, projection);
glUniform1i(liquidShadeShader.useThickness, useThickness);
// Draw a quad
glDisable(GL_DEPTH_TEST);
glBindBuffer(GL_ARRAY_BUFFER, screenQuad.vertexBuffer);
glVertexAttribPointer(
liquidShadeShader.vertexPosition,
3,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 3,
(void*)0
);
glEnableVertexAttribArray(liquidShadeShader.vertexPosition);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, screenQuad.elementBuffer);
glDrawElements(
GL_TRIANGLES,
6,
GL_UNSIGNED_INT,
(void*)0
);
glEnable(GL_DEPTH_TEST);
// Switch back to full-res viewport
glViewport(0, 0, WINDOW_WIDTH, WINDOW_HEIGHT);
// Deactivate FBOs
glBindFramebuffer(GL_FRAMEBUFFER, 0);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
// Compose shader
glUseProgram(compositionShader.shaderProgram);
// Bind and set textures
glActiveTexture(GL_TEXTURE0);
glBindTexture(GL_TEXTURE_2D, terrain.envTexture);
glUniform1i(compositionShader.backgroundTexture, 0);
glActiveTexture(GL_TEXTURE1);
glBindTexture(GL_TEXTURE_2D, framebuffers.particleColorTexture);
glUniform1i(compositionShader.particleTexture, 1);
glActiveTexture(GL_TEXTURE2);
glBindTexture(GL_TEXTURE_2D, framebuffers.backgroundTexture);
glUniform1i(compositionShader.terrainTexture, 2);
// Send uniforms
MatrixAsUniform(compositionShader.modelviewMatrix, modelview);
// Draw a quad
glDisable(GL_DEPTH_TEST);
glBindBuffer(GL_ARRAY_BUFFER, screenQuad.vertexBuffer);
glVertexAttribPointer(
compositionShader.vertexPosition,
3,
GL_FLOAT,
GL_FALSE,
sizeof(GLfloat) * 3,
(void*)0
);
glEnableVertexAttribArray(compositionShader.vertexPosition);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, screenQuad.elementBuffer);
glDrawElements(
GL_TRIANGLES,
6,
GL_UNSIGNED_INT,
(void*)0
);
glEnable(GL_DEPTH_TEST);
// Switch drawing area and displayed area.
glutSwapBuffers();
}
int main (int argc, char *argv[]) {
int numtasks, /* number of tasks in partition */
taskid, /* a task identifier */
numworkers, /* number of worker tasks */
source, /* task id of message source */
dest, /* task id of message destination */
mtype, /* message type */
rows, /* rows of matrix A sent to each worker */
averow, extra, offset, /* used to determine rows sent to each worker */
i, j, k, /* variables for loops */
errorCode = 1; /* error code initialized for MPI_Abort */
float a[ROW_A][COL_A], /* matrix A for multiplication */
b[COL_A][COL_B], /* matrix B for multiplication */
c[ROW_A][COL_B]; /* result matrix C */
MPI_Status status; /* the status for receiving the result */
/*Initializing MPI execution environment*/
MPI_Init(&argc,&argv);
MPI_Comm_rank(MPI_COMM_WORLD, &taskid);
MPI_Comm_size(MPI_COMM_WORLD, &numtasks);
if (numtasks < 2 ) {
printf("Need at least two MPI tasks. Quitting...\n");
MPI_Abort(MPI_COMM_WORLD, 0);
exit(1);
}
numworkers = numtasks-1; /* number of workers */
/**************************** master task ************************************/
if (taskid == MASTER) {
/* Initializing both matrices on master node */
for (i = 0; i < ROW_A; i++)
for (j = 0; j < COL_A; j++)
// change here to use random integer
a[i][j]= 1;
for (i = 0; i < COL_A; i++)
for (j = 0; j < COL_B; j++)
// change here to use random integer
b[i][j]= 1;
/* Computing the average row and extra row for each process */
averow = ROW_A/numworkers;
extra = ROW_A%numworkers;
offset = 0;
mtype = FROM_MASTER;
/* Distributing the task to each worker */
for (dest = 1; dest <= numworkers; dest++) {
rows = (dest <= extra) ? averow+1 : averow;
printf("Sending %d rows to task %d offset = %d\n", rows, dest, offset);
MPI_Send(&offset, 1, MPI_INT, dest, mtype, MPI_COMM_WORLD);
MPI_Send(&rows, 1, MPI_INT, dest, mtype, MPI_COMM_WORLD);
MPI_Send(&a[offset][0], rows*COL_A, MPI_FLOAT, dest, mtype, MPI_COMM_WORLD);
MPI_Send(&b, COL_A*COL_B, MPI_FLOAT, dest, mtype, MPI_COMM_WORLD);
offset = offset + rows;
}
/* Receive results from worker tasks */
mtype = FROM_WORKER;
for (i = 1; i <= numworkers; i++) {
source = i;
MPI_Recv(&offset, 1, MPI_INT, source, mtype, MPI_COMM_WORLD, &status);
MPI_Recv(&rows, 1, MPI_INT, source, mtype, MPI_COMM_WORLD, &status);
MPI_Recv(&c[offset][0], rows*COL_B, MPI_FLOAT, source, mtype, MPI_COMM_WORLD, &status);
printf("Received results from task %d\n",source);
}
/* Master prints results */
printf("******************************************************\n");
printf("Result Matrix:\n");
for (i = 0; i < ROW_A; i++) {
printf("\n");
for (j = 0; j < COL_B; j++)
printf("%6.2f ", c[i][j]);
}
printf("\n******************************************************\n");
printf ("Done.\n");
}
/**************************** worker task ************************************/
if (taskid > MASTER) {
/* Each receives task from master*/
mtype = FROM_MASTER;
MPI_Recv(&offset, 1, MPI_INT, MASTER, mtype, MPI_COMM_WORLD, &status);
MPI_Recv(&rows, 1, MPI_INT, MASTER, mtype, MPI_COMM_WORLD, &status);
MPI_Recv(&a, rows*COL_A, MPI_FLOAT, MASTER, mtype, MPI_COMM_WORLD, &status);
MPI_Recv(&b, COL_A*COL_B, MPI_FLOAT, MASTER, mtype, MPI_COMM_WORLD, &status);
/* Calling function from CUDA. Each worker computes on their GPU */
MatrixMul(*a, *b, *c, WIDTH, 128);
/* Each worker sends result back to the master */
mtype = FROM_WORKER;
MPI_Send(&offset, 1, MPI_INT, MASTER, mtype, MPI_COMM_WORLD);
MPI_Send(&rows, 1, MPI_INT, MASTER, mtype, MPI_COMM_WORLD);
MPI_Send(&c, rows*COL_B, MPI_FLOAT, MASTER, mtype, MPI_COMM_WORLD);
}
/* Terminate MPI execution environment */
MPI_Finalize();
}
A3DMatrix& A3DMatrix::operator *= (const A3DMatrix& mat)
{
MatrixMul(*this, *this, mat, 4);
Normalise();
return *this;
}
int main(void)
{
char mStr[1024];
matrix *ans, *m1, *m2;
int sc = 0;
printf("Which operation: ");
char op = tolower(getchar());
while(op != '+' || op != '-' || op != '*' || op != '/' || op != 'i') {
puts(opErr);
op = tolower(getchar());
}
printf("First matrix:\n");
scanf("%s", mStr);
m1 = MatrixInit(mStr);
MatrixPrint(m1);
if(op == 'a' || op == 's' || op == 'm') {
printf("Second matrix:\n");
scanf("%s", mStr);
m2 = MatrixInit(mStr);
MatrixPrint(m2);
} else if(op == 'c') {
printf("Scalar multiple:\n");
scanf("%d", &sc);
}
switch(op) {
case 'a':
ans = MatrixAdd(m1, m2);
break;
case 's':
ans = MatrixSub(m1, m2);
break;
case 'm':
ans = MatrixMul(m1, m2);
break;
case 'i':
ans = MatrixInv(m1);
break;
case 'c':
ans = MatrixSMul(m1, sc);
break;
default:
printf("Something went very wrong.\n");
return 1;
}
printf("Answer:\n");
MatrixPrint(ans);
MatrixFree(m1);
MatrixFree(ans);
if(op == 'a' || op == 's' || op == 'm') {
MatrixFree(m2);
}
return 0;
}
