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#ifndef FLOW3_H
#define FLOW3_H
#include <algorithm>
//STIM include
#include <stim/parser/arguments.h>
#include <stim/visualization/gl_network.h>
#include <stim/visualization/colormap.h>
#include <stim/math/matrix.h>
#include <stim/visualization/gl_aaboundingbox.h>
#include <stim/ui/progressbar.h>
#include <stim/grids/image_stack.h>
#ifdef __CUDACC__
#include <cublas_v2.h>
#include <stim/cuda/cudatools/error.h>
#endif
namespace stim {
template <typename A, typename B, typename C>
struct triple {
A first;
B second;
C third;
};
template <typename T>
struct bridge {
std::vector<unsigned> v; // vertices' indices
std::vector<typename stim::vec3<T> > V; // vertices' coordinates
T l; // length
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T r; // radius
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T deltaP; // pressure drop
T Q; // volume flow rate
};
template <typename T>
struct sphere {
stim::vec3<T> c; // center of sphere
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T r; // radius
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};
template <typename T>
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struct cone { // radius changes gradually
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stim::vec3<T> c1; // center of geometry start hat
stim::vec3<T> c2; // center of geometry end hat
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T r1; // radius at start hat
T r2; // radius at end hat
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};
template <typename T>
struct cuboid {
stim::vec3<T> c;
T l; // length
T w; // width
T h; // height
};
/// indicator function
#ifdef __CUDACC__
// for sphere
template <typename T>
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__global__ void inside_sphere(const stim::sphere<T> *V, unsigned num, size_t *R, T *S, unsigned char *ptr, int x, int y, int z) {
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unsigned ix = blockDim.x * blockIdx.x + threadIdx.x;
unsigned iy = blockDim.y * blockIdx.y + threadIdx.y;
if (ix >= R[1] || iy >= R[2]) return; // avoid seg-fault
// find world_pixel coordinates
stim::vec3<T> world_pixel;
world_pixel[0] = (T)ix * S[1] - x; // translate origin to center of the network
world_pixel[1] = (T)iy * S[2] - y;
world_pixel[2] = ((T)z - R[3] / 2) * S[3]; // ???center of box minus half width
float distance = FLT_MAX;
float tmp_distance;
unsigned idx;
for (unsigned i = 0; i < num; i++) {
tmp_distance = (V[i].c - world_pixel).len();
if (tmp_distance <= distance) {
distance = tmp_distance;
idx = i;
}
}
if (distance <= V[idx].r)
ptr[(R[2] - 1 - iy) * R[0] * R[1] + ix * R[0]] = 255;
}
// for cone
template <typename T>
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__global__ void inside_cone(const stim::cone<T> *E, unsigned num, size_t *R, T *S, unsigned char *ptr, int x, int y, int z) {
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unsigned ix = blockDim.x * blockIdx.x + threadIdx.x;
unsigned iy = blockDim.y * blockIdx.y + threadIdx.y;
if (ix >= R[1] || iy >= R[2]) return; // avoid segfault
stim::vec3<T> world_pixel;
world_pixel[0] = (T)ix * S[1] - x;
world_pixel[1] = (T)iy * S[2] - y;
world_pixel[2] = ((T)z - R[3] / 2) * S[3];
float distance = FLT_MAX;
float tmp_distance;
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float rr; // radius at the surface where projection meets
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for (unsigned i = 0; i < num; i++) { // find the nearest cylinder
tmp_distance = ((world_pixel - E[i].c1).cross(world_pixel - E[i].c2)).len() / (E[i].c2 - E[i].c1).len();
if (tmp_distance <= distance) {
// we only focus on point to line segment
// check to see whether projection is lying outside the line segment
float a = (world_pixel - E[i].c1).dot((E[i].c2 - E[i].c1).norm());
float b = (world_pixel - E[i].c2).dot((E[i].c1 - E[i].c2).norm());
float length = (E[i].c1 - E[i].c2).len();
if (a <= length && b <= length) { // projection lying inside the line segment
distance = tmp_distance;
rr = E[i].r1 + (E[i].r2 - E[i].r1) * a / (length); // linear change
}
}
}
if (distance <= rr)
ptr[(R[2] - 1 - iy) * R[0] * R[1] + ix * R[0]] = 255;
}
// for source bus
template <typename T>
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__global__ void inside_cuboid(const stim::cuboid<T> *B, unsigned num, size_t *R, T *S, unsigned char *ptr, int x, int y, int z) {
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unsigned ix = blockDim.x * blockIdx.x + threadIdx.x;
unsigned iy = blockDim.y * blockIdx.y + threadIdx.y;
if (ix >= R[1] || iy >= R[2]) return; // avoid segfault
stim::vec3<T> world_pixel;
world_pixel[0] = (T)ix * S[1] - x;
world_pixel[1] = (T)iy * S[2] - y;
world_pixel[2] = ((T)z - R[3] / 2) * S[3];
for (unsigned i = 0; i < num; i++) {
bool left_outside = false; // flag indicates point is outside the left bound
bool right_outside = false;
stim::vec3<T> tmp = B[i].c;
stim::vec3<T> L = stim::vec3<T>(tmp[0] - B[i].l / 2.0f, tmp[1] - B[i].h / 2.0f, tmp[2] - B[i].w / 2.0f);
stim::vec3<T> U = stim::vec3<T>(tmp[0] + B[i].l / 2.0f, tmp[1] + B[i].h / 2.0f, tmp[2] + B[i].w / 2.0f);
for (unsigned d = 0; d < 3; d++) {
if (world_pixel[d] < L[d]) // if the point is less than the minimum bound
left_outside = true;
if (world_pixel[d] > U[d]) // if the point is greater than the maximum bound
right_outside = true;
}
if (!left_outside && !right_outside)
ptr[(R[2] - 1 - iy) * R[0] * R[1] + ix * R[0]] = 255;
}
}
#endif
template <typename T>
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class flow : public stim::gl_network<T> {
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private:
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unsigned num_edge;
unsigned num_vertex;
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GLuint dlist; // display list for inlets/outlets connections
enum direction { UP, LEFT, DOWN, RIGHT };
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// calculate the cofactor of elemen[row][col]
void get_minor(T** src, T** dest, int row, int col, int order) {
// index of element to be copied
int rowCount = 0;
int colCount = 0;
for (int i = 0; i < order; i++) {
if (i != row) {
colCount = 0;
for (int j = 0; j < order; j++) {
// when j is not the element
if (j != col) {
dest[rowCount][colCount] = src[i][j];
colCount++;
}
}
rowCount++;
}
}
}
// calculate the det()
T determinant(T** mat, int order) {
// degenate case when n = 1
if (order == 1)
return mat[0][0];
T det = 0.0; // determinant value
// allocate the cofactor matrix
T** minor = (T**)malloc((order - 1) * sizeof(T*));
for (int i = 0; i < order - 1; i++)
minor[i] = (T*)malloc((order - 1) * sizeof(T));
for (int i = 0; i < order; i++) {
// get minor of element(0, i)
get_minor(mat, minor, 0, i, order);
// recursion
det += (i % 2 == 1 ? -1.0 : 1.0) * mat[0][i] * determinant(minor, order - 1);
}
// release memory
for (int i = 0; i < order - 1; i++)
free(minor[i]);
free(minor);
return det;
}
protected:
using stim::network<T>::E;
using stim::network<T>::V;
using stim::network<T>::get_start_vertex;
using stim::network<T>::get_end_vertex;
using stim::network<T>::get_r;
using stim::network<T>::get_average_r;
using stim::network<T>::get_l;
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T** C; // Conductance
std::vector<typename stim::triple<unsigned, unsigned, float> > Q; // volume flow rate
std::vector<T> QQ; // Q' vector
std::vector<T> pressure; // final pressure
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std::vector<typename std::vector<typename stim::vec3<T> > > in_backup; // inlet connection back up
std::vector<typename std::vector<typename stim::vec3<T> > > out_backup;
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bool set = false; // flag indicates the pressure has been set
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std::vector<T> P; // initial pressure
std::vector<T> v; // velocity
std::vector<typename stim::vec3<T> > main_feeder; // inlet/outlet main feeder
std::vector<unsigned> pendant_vertex;
std::vector<typename stim::triple<unsigned, unsigned, T> > input; // first one store which vertex, second one stores which edge, third one stores in/out volume flow rate of that vertex
std::vector<typename stim::triple<unsigned, unsigned, T> > output;
std::vector<typename stim::bridge<T> > inlet; // input bridge
std::vector<typename stim::bridge<T> > outlet; // output bridge
std::vector<typename stim::sphere<T> > A; // sphere model for making image stack
std::vector<typename stim::cone<T> > B; // cone(cylinder) model for making image stack
std::vector<typename stim::cuboid<T> > CU; // cuboid model for making image stack
stim::gl_aaboundingbox<T> bb; // bounding box
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std::vector<bool> inlet_feasibility; // list of flags indicate whether one inlet connection is feasible
std::vector<bool> outlet_feasibility;
std::vector<typename std::pair<stim::vec3<T>, stim::vec3<T> > > inbb; // inlet connection bounding box
std::vector<typename std::pair<stim::vec3<T>, stim::vec3<T> > > outbb; // outlet connection bounding box
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flow() {} // default constructor
~flow() {
for (unsigned i = 0; i < num_vertex; i++)
delete[] C[i];
delete[] C;
}
void init(unsigned n_e, unsigned n_v) {
num_edge = n_e;
num_vertex = n_v;
C = new T*[n_v]();
for (unsigned i = 0; i < n_v; i++) {
C[i] = new T[n_v]();
}
QQ.resize(n_v);
P.resize(n_v);
pressure.resize(n_v);
Q.resize(n_e);
v.resize(n_e);
}
void clear() {
for (unsigned i = 0; i < num_vertex; i++) {
QQ[i] = 0;
pressure[i] = 0;
for (unsigned j = 0; j < num_vertex; j++) {
C[i][j] = 0;
}
}
main_feeder.clear();
input.clear();
output.clear();
inlet.clear();
outlet.clear();
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if (glIsList(dlist)) {
glDeleteLists(dlist, 1); // delete display list for modify
glDeleteLists(dlist + 1, 1);
}
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}
// copy radius from cylinder to flow
void set_radius(unsigned i, T radius) {
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for (unsigned j = 0; j < num_edge; j++) {
if (E[j].v[0] == i)
E[j].cylinder<T>::set_r(0, radius);
else if (E[j].v[1] == i)
E[j].cylinder<T>::set_r(E[j].size() - 1, radius);
}
}
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// get the radius of vertex i
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T get_radius(unsigned i) {
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unsigned tmp_e; // edge index
unsigned tmp_v; // vertex index in that edge
for (unsigned j = 0; j < num_edge; j++) {
if (E[j].v[0] == i) {
tmp_e = j;
tmp_v = 0;
}
else if (E[j].v[1] == i) {
tmp_e = j;
tmp_v = E[j].size() - 1;
}
}
return E[tmp_e].r(tmp_v);
}
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// get the radius of index j of edge i
T get_radius(unsigned i, unsigned j) {
return E[i].r(j);
}
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// get the velocity of pendant vertex i
T get_velocity(unsigned i) {
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unsigned tmp_e; // edge index
for (unsigned j = 0; j < num_edge; j++) {
if (E[j].v[0] == i) {
tmp_e = j;
break;
}
else if (E[j].v[1] == i) {
tmp_e = j;
break;
}
}
return v[tmp_e];
}
// set pressure at specifi vertex
void set_pressure(unsigned i, T value) {
P[i] = value;
}
// solve the linear system to get stable flow state
void solve_flow(T viscosity) {
// clear up last time simulation
clear();
// get the pendant vertex indices
pendant_vertex = get_boundary_vertex();
// get bounding box
bb = (*this).boundingbox();
// set the conductance matrix of flow object
unsigned start_vertex = 0;
unsigned end_vertex = 0;
for (unsigned i = 0; i < num_edge; i++) {
start_vertex = get_start_vertex(i); // get the start vertex index of current edge
end_vertex = get_end_vertex(i); // get the end vertex index of current edge
C[start_vertex][end_vertex] = -((float)stim::PI * std::pow(get_average_r(i), 4)) / (8 * u * get_l(i));
C[end_vertex][start_vertex] = C[start_vertex][end_vertex];
}
// set the diagonal to the negative sum of row element
float sum = 0.0;
for (unsigned i = 0; i < num_vertex; i++) {
for (unsigned j = 0; j < num_vertex; j++) {
sum += C[i][j];
}
C[i][i] = -sum;
sum = 0.0;
}
// get the Q' vector QQ
// matrix manipulation to zero out the conductance matrix as defined by the boundary values that were enterd
for (unsigned i = 0; i < num_vertex; i++) {
if (P[i] != 0) { // for every dangle vertex
for (unsigned j = 0; j < num_vertex; j++) {
if (j == i) {
QQ[i] = C[i][i] * P[i];
}
else {
C[i][j] = 0;
QQ[j] = QQ[j] - C[j][i] * P[i];
C[j][i] = 0;
}
}
}
}
// get the inverse of conductance matrix
stim::matrix<float> _C(num_vertex, num_vertex);
inversion(C, num_vertex, _C.data());
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// get the pressure in the network
for (unsigned i = 0; i < num_vertex; i++) {
for (unsigned j = 0; j < num_vertex; j++) {
pressure[i] += _C(i, j) * QQ[j];
}
}
// get the flow state from known pressure
float start_pressure = 0.0;
float end_pressure = 0.0;
float deltaP = 0.0;
for (unsigned i = 0; i < num_edge; i++) {
start_vertex = get_start_vertex(i);
end_vertex = get_end_vertex(i);
start_pressure = pressure[start_vertex]; // get the start vertex pressure of current edge
end_pressure = pressure[end_vertex]; // get the end vertex pressure of current edge
deltaP = start_pressure - end_pressure; // deltaP = Pa - Pb
Q[i].first = start_vertex;
Q[i].second = end_vertex;
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Q[i].third = ((float)stim::PI * std::pow(get_average_r(i), 4) * deltaP) / (8 * u * get_l(i));
v[i] = Q[i].third / ((float)stim::PI * std::pow(get_average_r(i), 2));
}
}
// get the brewer color map based on velocity
void get_color_map(T& max_v, T& min_v, std::vector<unsigned char>& color, std::vector<unsigned> pendant_vertex) {
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unsigned num_edge = Q.size();
unsigned num_vertex = QQ.size();
// find the absolute maximum velocity and minimum velocity
std::vector<float> abs_V(num_edge);
for (unsigned i = 0; i < num_edge; i++) {
abs_V[i] = std::fabsf(v[i]);
}
max_v = *std::max_element(abs_V.begin(), abs_V.end());
min_v = *std::min_element(abs_V.begin(), abs_V.end());
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// get the color map based on velocity range along the network
color.clear();
if (pendant_vertex.size() == 2 && num_edge - num_vertex + 1 <= 0) // only one inlet and one outlet
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color.resize(num_edge * 3, (unsigned char)128);
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else {
color.resize(num_edge * 3);
stim::cpu2cpu<float>(&abs_V[0], &color[0], num_edge, min_v, max_v, stim::cmBrewer);
}
}
// print flow
void print_flow() {
// show the pressure information in console box
std::cout << "PRESSURE(g/um/s^2):" << std::endl;
for (unsigned i = 0; i < num_vertex; i++) {
std::cout << "[" << i << "] " << pressure[i] << std::endl;
}
// show the flow rate information in console box
std::cout << "VOLUME FLOW RATE(um^3/s):" << std::endl;
for (unsigned i = 0; i < num_edge; i++) {
std::cout << "(" << Q[i].first << "," << Q[i].second << ")" << Q[i].third << std::endl;
}
}
/// helper function
// find hilbert curve order
// @param: current direct length between two vertices
// @param: desire length
void find_hilbert_order(T l, T d, int &order) {
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bool flag = false;
int o = 1;
T tmp; // temp of length
while (!flag) {
// convert from cartesian length to hilbert length
// l -> l * (4 ^ order - 1)/(2 ^ order - 1)
tmp = l * (std::pow(4, o) - 1) / (std::pow(2, o) - 1);
if (tmp >= d)
flag = true;
else
o++;
}
order = o;
}
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// move hilbert curves
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void move(unsigned i, T *c, direction dir, T dl, int feeder, bool invert) {
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int cof = (invert) ? -1 : 1;
switch (dir) {
case UP:
c[1] += dl;
break;
case LEFT:
c[0] -= cof * dl;
break;
case DOWN:
c[1] -= dl;
break;
case RIGHT:
c[0] += cof * dl;
break;
}
stim::vec3<T> tmp;
for (unsigned i = 0; i < 3; i++)
tmp[i] = c[i];
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if (feeder == 1) // inlet main feeder
inlet[i].V.push_back(tmp);
else if (feeder == 0) // outlet main feeder
outlet[i].V.push_back(tmp);
}
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// form hilbert curves
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void hilbert_curve(unsigned i, T *c, int order, T dl, int feeder, bool invert, direction dir = DOWN) {
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if (order == 1) {
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switch (dir) {
case UP:
move(i, c, DOWN, dl, feeder, invert);
move(i, c, RIGHT, dl, feeder, invert);
move(i, c, UP, dl, feeder, invert);
break;
case LEFT:
move(i, c, RIGHT, dl, feeder, invert);
move(i, c, DOWN, dl, feeder, invert);
move(i, c, LEFT, dl, feeder, invert);
break;
case DOWN:
move(i, c, UP, dl, feeder, invert);
move(i, c, LEFT, dl, feeder, invert);
move(i, c, DOWN, dl, feeder, invert);
break;
case RIGHT:
move(i, c, LEFT, dl, feeder, invert);
move(i, c, UP, dl, feeder, invert);
move(i, c, RIGHT, dl, feeder, invert);
break;
}
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}
else if (order > 1) {
switch (dir) {
case UP:
hilbert_curve(i, c, order - 1, dl, feeder, invert, LEFT);
move(i, c, DOWN, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, UP);
move(i, c, RIGHT, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, UP);
move(i, c, UP, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, RIGHT);
break;
case LEFT:
hilbert_curve(i, c, order - 1, dl, feeder, invert, UP);
move(i, c, RIGHT, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, LEFT);
move(i, c, DOWN, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, LEFT);
move(i, c, LEFT, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, DOWN);
break;
case DOWN:
hilbert_curve(i, c, order - 1, dl, feeder, invert, RIGHT);
move(i, c, UP, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, DOWN);
move(i, c, LEFT, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, DOWN);
move(i, c, DOWN, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, LEFT);
break;
case RIGHT:
hilbert_curve(i, c, order - 1, dl, feeder, invert, DOWN);
move(i, c, LEFT, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, RIGHT);
move(i, c, UP, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, RIGHT);
move(i, c, RIGHT, dl, feeder, invert);
hilbert_curve(i, c, order - 1, dl, feeder, invert, UP);
break;
}
}
}
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/// render function
// find two envelope caps for two spheres
// @param cp1, cp2: list of points on the cap
// @param center1, center2: center point of cap
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// @param r1, r2: radius of cap
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void find_envelope(std::vector<typename stim::vec3<float> > &cp1, std::vector<typename stim::vec3<float> > &cp2, stim::vec3<float> center1, stim::vec3<float> center2, float r1, float r2, GLint subdivision) {
stim::vec3<float> tmp_d;
if (r1 == r2) { // two vertices have the same radius
tmp_d = center2 - center1; // calculate the direction vector
tmp_d = tmp_d.norm();
stim::circle<float> tmp_c; // in order to get zero direction vector
tmp_c.rotate(tmp_d);
stim::circle<float> c1(center1, r1, tmp_d, tmp_c.U);
stim::circle<float> c2(center2, r2, tmp_d, tmp_c.U);
cp1 = c1.glpoints(subdivision);
cp2 = c2.glpoints(subdivision);
}
else {
if (r1 < r2) { // switch index, we always want r1 to be larger than r2
stim::vec3<float> tmp_c = center2;
center2 = center1;
center1 = tmp_c;
float tmp_r = r2;
r2 = r1;
r1 = tmp_r;
}
tmp_d = center2 - center1; // bigger one points to smaller one
tmp_d = tmp_d.norm();
float D = (center1 - center2).len();
stim::vec3<float> exp;
exp[0] = (center2[0] * r1 - center1[0] * r2) / (r1 - r2);
exp[1] = (center2[1] * r1 - center1[1] * r2) / (r1 - r2);
stim::vec3<float> t1, t2, t3, t4;
t1[2] = t2[2] = center1[2]; // decide the specific plane to work on
t3[2] = t4[2] = center2[2];
// first two
t1[0] = pow(r1, 2)*(exp[0] - center1[0]);
t1[0] += r1*(exp[1] - center1[1])*sqrt(pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2) - pow(r1, 2));
t1[0] /= (pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2));
t1[0] += center1[0];
t2[0] = pow(r1, 2)*(exp[0] - center1[0]);
t2[0] -= r1*(exp[1] - center1[1])*sqrt(pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2) - pow(r1, 2));
t2[0] /= (pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2));
t2[0] += center1[0];
t1[1] = pow(r1, 2)*(exp[1] - center1[1]);
t1[1] -= r1*(exp[0] - center1[0])*sqrt(pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2) - pow(r1, 2));
t1[1] /= (pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2));
t1[1] += center1[1];
t2[1] = pow(r1, 2)*(exp[1] - center1[1]);
t2[1] += r1*(exp[0] - center1[0])*sqrt(pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2) - pow(r1, 2));
t2[1] /= (pow((exp[0] - center1[0]), 2) + pow((exp[1] - center1[1]), 2));
t2[1] += center1[1];
// check the correctness of the points
//float s = (center1[1] - t1[1])*(exp[1] - t1[1]) / ((t1[0] - center1[0])*(t1[0] - exp[0]));
//if (s != 1) { // swap t1[1] and t2[1]
// float tmp_t = t2[1];
// t2[1] = t1[1];
// t1[1] = tmp_t;
//}
// second two
t3[0] = pow(r2, 2)*(exp[0] - center2[0]);
t3[0] += r2*(exp[1] - center2[1])*sqrt(pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2) - pow(r2, 2));
t3[0] /= (pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2));
t3[0] += center2[0];
t4[0] = pow(r2, 2)*(exp[0] - center2[0]);
t4[0] -= r2*(exp[1] - center2[1])*sqrt(pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2) - pow(r2, 2));
t4[0] /= (pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2));
t4[0] += center2[0];
t3[1] = pow(r2, 2)*(exp[1] - center2[1]);
t3[1] -= r2*(exp[0] - center2[0])*sqrt(pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2) - pow(r2, 2));
t3[1] /= (pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2));
t3[1] += center2[1];
t4[1] = pow(r2, 2)*(exp[1] - center2[1]);
t4[1] += r2*(exp[0] - center2[0])*sqrt(pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2) - pow(r2, 2));
t4[1] /= (pow((exp[0] - center2[0]), 2) + pow((exp[1] - center2[1]), 2));
t4[1] += center2[1];
// check the correctness of the points
//s = (center2[1] - t3[1])*(exp[1] - t3[1]) / ((t3[0] - center2[0])*(t3[0] - exp[0]));
//if (s != 1) { // swap t1[1] and t2[1]
// float tmp_t = t4[1];
// t4[1] = t3[1];
// t3[1] = tmp_t;
//}
stim::vec3<float> d1;
float dot;
float a;
float new_r;
stim::vec3<float> new_u;
stim::vec3<float> new_c;
// calculate the bigger circle
d1 = t1 - center1;
dot = d1.dot(tmp_d);
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a = dot / (r1 * 1) * r1; // a = cos(alpha) * radius
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new_c = center1 + a * tmp_d;
new_r = sqrt(pow(r1, 2) - pow(a, 2));
new_u = t1 - new_c;
stim::circle<float> c1(new_c, new_r, tmp_d, new_u);
cp1 = c1.glpoints(subdivision);
// calculate the smaller circle
d1 = t3 - center2;
dot = d1.dot(tmp_d);
a = dot / (r2 * 1) * r2;
new_c = center2 + a * tmp_d;
new_r = sqrt(pow(r2, 2) - pow(a, 2));
new_u = t3 - new_c;
stim::circle<float> c2(new_c, new_r, tmp_d, new_u);
cp2 = c2.glpoints(subdivision);
}
}
// draw solid sphere at every vertex
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void glSolidSphere(T max_pressure, T scale, GLint subdivision) {
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// waste?
for (unsigned i = 0; i < num_edge; i++) {
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// draw the starting vertex
if (P[E[i].v[0]] != 0) {
stim::vec3<float> new_color;
new_color[0] = (P[E[i].v[0]] / max_pressure) > 0.5f ? 1.0f : 2.0f * P[E[i].v[0]] / max_pressure; // red
new_color[1] = 0.0f; // green
new_color[2] = (P[E[i].v[0]] / max_pressure) > 0.5f ? 1.0f - 2.0f * (P[E[i].v[0]] / max_pressure - 0.5f) : 1.0f; // blue
glColor3f(new_color[0], new_color[1], new_color[2]);
glPushMatrix();
glTranslatef(E[i][0][0], E[i][0][1], E[i][0][2]);
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glutSolidSphere(get_r(i, 0) * scale, subdivision, subdivision);
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glPopMatrix();
}
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else {
glEnable(GL_BLEND); // enable color blend
glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA); // set blend function
glDisable(GL_DEPTH_TEST);
glColor4f(0.7f, 0.7f, 0.7f, 0.7f); // gray color
glPushMatrix();
glTranslatef(E[i][0][0], E[i][0][1], E[i][0][2]);
glutSolidSphere(get_r(i, 0) * scale, subdivision, subdivision);
glPopMatrix();
glDisable(GL_BLEND);
glEnable(GL_DEPTH_TEST);
}
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// draw the ending vertex
if (P[E[i].v[1]] != 0) {
stim::vec3<float> new_color;
new_color[0] = (P[E[i].v[1]] / max_pressure) > 0.5f ? 1.0f : 2.0f * P[E[i].v[1]] / max_pressure; // red
new_color[1] = 0.0f; // green
new_color[2] = (P[E[i].v[1]] / max_pressure) > 0.5f ? 1.0f - 2.0f * (P[E[i].v[1]] / max_pressure - 0.5f) : 1.0f; // blue
glColor3f(new_color[0], new_color[1], new_color[2]);
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glPushMatrix();
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glTranslatef(E[i][E[i].size() - 1][0], E[i][E[i].size() - 1][1], E[i][E[i].size() - 1][2]);
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glutSolidSphere(get_r(i, E[i].size() - 1) * scale, subdivision, subdivision);
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glPopMatrix();
}
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else {
glEnable(GL_BLEND); // enable color blend
glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA); // set blend function
glDisable(GL_DEPTH_TEST);
glColor4f(0.7f, 0.7f, 0.7f, 0.7f); // gray color
glPushMatrix();
glTranslatef(E[i][E[i].size() - 1][0], E[i][E[i].size() - 1][1], E[i][E[i].size() - 1][2]);
glutSolidSphere(get_r(i, E[i].size() - 1) * scale, subdivision, subdivision);
glPopMatrix();
glDisable(GL_BLEND);
glEnable(GL_DEPTH_TEST);
}
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}
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// draw edges as series of cylinders
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void glSolidCylinder(unsigned index, std::vector<unsigned char> color, T scale, GLint subdivision) {
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stim::vec3<float> tmp_d;
stim::vec3<float> center1;
stim::vec3<float> center2;
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stim::circle<float> tmp_c;
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float r1;
float r2;
std::vector<typename stim::vec3<float> > cp1(subdivision + 1);
std::vector<typename stim::vec3<float> > cp2(subdivision + 1);
for (unsigned i = 0; i < num_edge; i++) { // for every edge
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if (i == index) { // render in tranparency for direction indication
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glEnable(GL_BLEND); // enable color blend
glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA); // set blend function
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glDisable(GL_DEPTH_TEST);
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glColor4f((float)color[i * 3 + 0] / 255, (float)color[i * 3 + 1] / 255, (float)color[i * 3 + 2] / 255, 0.3f);
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}
else
glColor3f((float)color[i * 3 + 0] / 255, (float)color[i * 3 + 1] / 255, (float)color[i * 3 + 2] / 255);
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for (unsigned j = 0; j < E[i].size() - 1; j++) { // for every point on the edge
center1 = E[i][j];
center2 = E[i][j + 1];
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r1 = get_r(i, j) * scale;
r2 = get_r(i, j + 1) * scale;
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//// calculate the envelope caps
//find_envelope(cp1, cp2, center1, center2, r1, r2, subdivision);
if (j == 0) {
if (E[i].size() == 2)
find_envelope(cp1, cp2, center1, center2, r1, r2, subdivision);
else {
tmp_d = center2 - center1;
tmp_d = tmp_d.norm();
tmp_c.rotate(tmp_d);
stim::circle<float> c1(center1, r1, tmp_d, tmp_c.U);
cp1 = c1.glpoints(subdivision);
tmp_d = (E[i][j + 2] - center2) + (center2 - center1);
tmp_d = tmp_d.norm();
tmp_c.rotate(tmp_d);
stim::circle<float> c2(center2, r2, tmp_d, tmp_c.U);
cp2 = c2.glpoints(subdivision);
}
}
else if (j == E[i].size() - 2) {
tmp_d = (center2 - center1) + (center1 - E[i][j - 1]);
tmp_d = tmp_d.norm();
tmp_c.rotate(tmp_d);
stim::circle<float> c1(center1, r1, tmp_d, tmp_c.U);
cp1 = c1.glpoints(subdivision);
tmp_d = center2 - center1;
tmp_d = tmp_d.norm();
tmp_c.rotate(tmp_d);
stim::circle<float> c2(center2, r2, tmp_d, tmp_c.U);
cp2 = c2.glpoints(subdivision);
}
else {
tmp_d = (center2 - center1) + (center1 - E[i][j - 1]);
tmp_d = tmp_d.norm();
tmp_c.rotate(tmp_d);
stim::circle<float> c1(center1, r1, tmp_d, tmp_c.U);
cp1 = c1.glpoints(subdivision);
tmp_d = (E[i][j + 2] - center2) + (center2 - center1);
tmp_d = tmp_d.norm();
tmp_c.rotate(tmp_d);
stim::circle<float> c2(center2, r2, tmp_d, tmp_c.U);
cp2 = c2.glpoints(subdivision);
}
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glBegin(GL_QUAD_STRIP);
for (unsigned j = 0; j < cp1.size(); j++) {
glVertex3f(cp1[j][0], cp1[j][1], cp1[j][2]);
glVertex3f(cp2[j][0], cp2[j][1], cp2[j][2]);
}
glEnd();
}
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Jiaming Guo
fixed minor bug i...
|
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if (i == index) {
glDisable(GL_BLEND);
glEnable(GL_DEPTH_TEST);
}
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}
glFlush();
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Jiaming Guo
first version of ...
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}
|
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Jiaming Guo
change bus size
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|
// draw the flow direction as cone, the size of the cone depends on the length of that edge
void glSolidCone(unsigned i, T scale, GLint subdivision) {
|
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Jiaming Guo
fixed minor bug i...
|
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stim::vec3<T> tmp_d; // direction
stim::vec3<T> center; // cone hat center
stim::vec3<T> head; // cone hat top
stim::circle<T> tmp_c;
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Jiaming Guo
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T h; // height base of the cone
|
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Jiaming Guo
fixed minor bug i...
|
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894
|
std::vector<typename stim::vec3<T> > cp;
T radius;
|
6ea69c93
Jiaming Guo
change bus size
|
895
|
glColor3f(0.0f, 0.0f, 0.0f); // lime color
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
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unsigned index = E[i].size() / 2 - 1;
tmp_d = E[i][index + 1] - E[i][index];
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Jiaming Guo
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h = tmp_d.len() / 3.0f; // get the height base by factor 3
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Jiaming Guo
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tmp_d = tmp_d.norm();
center = (E[i][index + 1] + E[i][index]) / 2;
tmp_c.rotate(tmp_d);
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Jiaming Guo
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radius = (E[i].r(index + 1) + E[i].r(index)) / 2 * scale;
radius = (h / sqrt(3) < radius) ? h / sqrt(3) : radius; // update radius
|
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Jiaming Guo
fixed minor bug i...
|
905
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if (v[i] > 0)
|
6ea69c93
Jiaming Guo
change bus size
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906
|
head = center + tmp_d * h;
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
907
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else
|
6ea69c93
Jiaming Guo
change bus size
|
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|
head = center - tmp_d * h;
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
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stim::circle<float> c(center, radius, tmp_d, tmp_c.U);
cp = c.glpoints(subdivision);
glBegin(GL_TRIANGLE_FAN);
glVertex3f(head[0], head[1], head[2]);
for (unsigned k = 0; k < cp.size(); k++)
glVertex3f(cp[k][0], cp[k][1], cp[k][2]);
glEnd();
glFlush();
// draw a cone for every edge to indicate
//for (unsigned j = 0; j < E[i].size() - 1; j++) { // for every point on current edge
// tmp_d = E[i][j + 1] - E[i][j];
// tmp_d = tmp_d.norm();
// center = (E[i][j + 1] + E[i][j]) / 2;
// tmp_c.rotate(tmp_d);
// radius = (E[i].r(j + 1) + E[i].r(j)) / 2;
// if (v[i] > 0) // if flow flows from j to j+1
// head = center + tmp_d * 2 * sqrt(3) * radius;
// else
// head = center - tmp_d * 2 * sqrt(3) * radius;
// stim::circle<float> c(center, radius, tmp_d, tmp_c.U);
// cp = c.glpoints(subdivision);
// glBegin(GL_TRIANGLE_FAN);
// glVertex3f(head[0], head[1], head[2]);
// for (unsigned k = 0; k < cp.size(); k++)
// glVertex3f(cp[k][0], cp[k][1], cp[k][2]);
// glEnd();
//}
//glFlush();
}
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first version of ...
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void glSolidCone(GLint subdivision) {
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Jiaming Guo
add diplay list t...
|
944
|
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9191c39e
Jiaming Guo
first version of ...
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stim::vec3<T> tmp_d; // direction
stim::vec3<T> center; // cone hat center
stim::vec3<T> head; // cone hat top
stim::circle<T> tmp_c;
std::vector<typename stim::vec3<T> > cp;
|
6ea69c93
Jiaming Guo
change bus size
|
950
|
T h;
|
9191c39e
Jiaming Guo
first version of ...
|
951
952
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T radius;
|
6ea69c93
Jiaming Guo
change bus size
|
953
|
glColor3f(0.600f, 0.847f, 0.788f);
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
954
|
// draw a cone for every edge to indicate
|
9191c39e
Jiaming Guo
first version of ...
|
955
|
for (unsigned i = 0; i < num_edge; i++) { // for every edge
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
956
957
958
|
unsigned k1 = E[i].size() / 2 - 1; // start and end index
unsigned k2 = E[i].size() / 2;
tmp_d = E[i][k2] - E[i][k1];
|
6ea69c93
Jiaming Guo
change bus size
|
959
|
h = tmp_d.len() / 3.0f; // get the height base by factor 3
|
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Jiaming Guo
fixed minor bug i...
|
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tmp_d = tmp_d.norm();
center = (E[i][k2] + E[i][k1]) / 2;
tmp_c.rotate(tmp_d);
radius = (E[i].r(k2) + E[i].r(k1)) / 2;
|
6ea69c93
Jiaming Guo
change bus size
|
964
|
radius = (h / sqrt(3) < radius) ? h / sqrt(3) : radius; // update radius by height base if necessary
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
965
|
if (v[i] > 0) // if flow flows from k1 to k2
|
6ea69c93
Jiaming Guo
change bus size
|
966
|
head = center + tmp_d * h;
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
967
|
else
|
6ea69c93
Jiaming Guo
change bus size
|
968
|
head = center - tmp_d * h;
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
969
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971
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976
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stim::circle<float> c(center, radius, tmp_d, tmp_c.U);
cp = c.glpoints(subdivision);
glBegin(GL_TRIANGLE_FAN);
glVertex3f(head[0], head[1], head[2]);
for (unsigned k = 0; k < cp.size(); k++)
glVertex3f(cp[k][0], cp[k][1], cp[k][2]);
glEnd();
|
9191c39e
Jiaming Guo
first version of ...
|
977
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|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
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//for (unsigned j = 0; j < E[i].size() - 1; j++) { // for every point on current edge
// tmp_d = E[i][j + 1] - E[i][j];
// tmp_d = tmp_d.norm();
// center = (E[i][j + 1] + E[i][j]) / 2;
// tmp_c.rotate(tmp_d);
// radius = (E[i].r(j + 1) + E[i].r(j)) / 2;
// if (v[i] > 0) // if flow flows from j to j+1
// head = center + tmp_d * 2 * sqrt(3) * radius;
// else
// head = center - tmp_d * 2 * sqrt(3) * radius;
// stim::circle<float> c(center, radius, tmp_d, tmp_c.U);
// cp = c.glpoints(subdivision);
// glBegin(GL_TRIANGLE_FAN);
// glVertex3f(head[0], head[1], head[2]);
// for (unsigned k = 0; k < cp.size(); k++)
// glVertex3f(cp[k][0], cp[k][1], cp[k][2]);
// glEnd();
//}
|
9191c39e
Jiaming Guo
first version of ...
|
998
999
1000
1001
1002
|
}
glFlush();
}
// draw main feeder as solid cube
|
6ea69c93
Jiaming Guo
change bus size
|
1003
|
void glSolidCuboid(T length = 40.0f, T height = 10.0f) {
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1004
|
|
9191c39e
Jiaming Guo
first version of ...
|
1005
1006
1007
1008
1009
|
T width;
stim::vec3<T> L = bb.A; // get the bottom left corner
stim::vec3<T> U = bb.B; // get the top right corner
width = U[2] - L[2] + 10.0f;
|
8334680a
Jiaming Guo
add square wave c...
|
1010
|
glColor3f(0.0f, 0.0f, 0.0f);
|
9191c39e
Jiaming Guo
first version of ...
|
1011
1012
1013
1014
1015
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|
for (unsigned i = 0; i < main_feeder.size(); i++) {
// front face
glBegin(GL_QUADS);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] - width / 2);
glEnd();
// back face
glBegin(GL_QUADS);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] + width / 2);
glEnd();
// top face
glBegin(GL_QUADS);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] + width / 2);
glEnd();
// bottom face
glBegin(GL_QUADS);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] + width / 2);
glEnd();
// left face
glBegin(GL_QUADS);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] - length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] - width / 2);
glEnd();
// right face
glBegin(GL_QUADS);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] - width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] + height / 2, main_feeder[i][2] + width / 2);
glVertex3f(main_feeder[i][0] + length / 2, main_feeder[i][1] - height / 2, main_feeder[i][2] + width / 2);
glEnd();
}
glFlush();
}
// draw the bridge as lines
|
f4105b89
Jiaming Guo
add new function:...
|
1064
1065
1066
1067
1068
|
void line_bridge(bool &redisplay) {
if (redisplay)
glDeleteLists(dlist, 1);
redisplay = false;
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1069
1070
1071
1072
|
if (!glIsList(dlist)) {
dlist = glGenLists(1);
glNewList(dlist, GL_COMPILE);
|
f4105b89
Jiaming Guo
add new function:...
|
1073
|
|
8deac51f
Jiaming Guo
fixed minor bugs ...
|
1074
|
glLineWidth(5);
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1075
|
for (unsigned i = 0; i < inlet.size(); i++) {
|
f4105b89
Jiaming Guo
add new function:...
|
1076
1077
1078
1079
1080
|
if (inlet_feasibility[i])
glColor3f(0.0f, 0.0f, 0.0f); // feasible -> black
else
glColor3f(1.0f, 0.0f, 0.0f); // nonfeasible -> red
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1081
1082
1083
1084
1085
1086
|
glBegin(GL_LINE_STRIP);
for (unsigned j = 0; j < inlet[i].V.size(); j++)
glVertex3f(inlet[i].V[j][0], inlet[i].V[j][1], inlet[i].V[j][2]);
glEnd();
}
for (unsigned i = 0; i < outlet.size(); i++) {
|
f4105b89
Jiaming Guo
add new function:...
|
1087
1088
1089
1090
|
if (outlet_feasibility[i])
glColor3f(0.0f, 0.0f, 0.0f); // feasible -> black
else
glColor3f(1.0f, 0.0f, 0.0f); // nonfeasible -> red
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1091
1092
1093
1094
1095
1096
1097
|
glBegin(GL_LINE_STRIP);
for (unsigned j = 0; j < outlet[i].V.size(); j++)
glVertex3f(outlet[i].V[j][0], outlet[i].V[j][1], outlet[i].V[j][2]);
glEnd();
}
glFlush();
glEndList();
|
9191c39e
Jiaming Guo
first version of ...
|
1098
|
}
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1099
|
glCallList(dlist);
|
9191c39e
Jiaming Guo
first version of ...
|
1100
1101
1102
|
}
// draw the bridge as tubes
|
8334680a
Jiaming Guo
add square wave c...
|
1103
|
void tube_bridge(T subdivision, T radius = 5.0f) {
|
9191c39e
Jiaming Guo
first version of ...
|
1104
|
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1105
1106
1107
1108
1109
1110
1111
|
if (!glIsList(dlist + 1)) {
glNewList(dlist + 1, GL_COMPILE);
stim::vec3<T> dir; // direction vector
stim::circle<T> unit_c; // unit circle for finding the rotation start direction
std::vector<typename stim::vec3<T> > cp1;
std::vector<typename stim::vec3<T> > cp2;
|
8334680a
Jiaming Guo
add square wave c...
|
1112
|
glColor3f(0.0f, 0.0f, 0.0f);
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1113
1114
1115
1116
1117
1118
|
for (unsigned i = 0; i < inlet.size(); i++) {
// render vertex as sphere
for (unsigned j = 1; j < inlet[i].V.size() - 1; j++) {
glPushMatrix();
glTranslatef(inlet[i].V[j][0], inlet[i].V[j][1], inlet[i].V[j][2]);
|
8334680a
Jiaming Guo
add square wave c...
|
1119
|
glutSolidSphere(radius, subdivision, subdivision);
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
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1137
|
glPopMatrix();
}
// render edge as cylinder
for (unsigned j = 0; j < inlet[i].V.size() - 1; j++) {
dir = inlet[i].V[j] - inlet[i].V[j + 1];
dir = dir.norm();
unit_c.rotate(dir);
stim::circle<T> c1(inlet[i].V[j], inlet[i].r, dir, unit_c.U);
stim::circle<T> c2(inlet[i].V[j + 1], inlet[i].r, dir, unit_c.U);
cp1 = c1.glpoints(subdivision);
cp2 = c2.glpoints(subdivision);
glBegin(GL_QUAD_STRIP);
for (unsigned k = 0; k < cp1.size(); k++) {
glVertex3f(cp1[k][0], cp1[k][1], cp1[k][2]);
glVertex3f(cp2[k][0], cp2[k][1], cp2[k][2]);
}
glEnd();
|
9191c39e
Jiaming Guo
first version of ...
|
1138
|
}
|
9191c39e
Jiaming Guo
first version of ...
|
1139
|
}
|
9191c39e
Jiaming Guo
first version of ...
|
1140
|
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1141
1142
1143
1144
1145
|
for (unsigned i = 0; i < outlet.size(); i++) {
// render vertex as sphere
for (unsigned j = 1; j < outlet[i].V.size() - 1; j++) {
glPushMatrix();
glTranslatef(outlet[i].V[j][0], outlet[i].V[j][1], outlet[i].V[j][2]);
|
8334680a
Jiaming Guo
add square wave c...
|
1146
|
glutSolidSphere(radius, subdivision, subdivision);
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1147
1148
1149
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1152
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1161
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1164
|
glPopMatrix();
}
// render edge as cylinder
for (unsigned j = 0; j < outlet[i].V.size() - 1; j++) {
dir = outlet[i].V[j] - outlet[i].V[j + 1];
dir = dir.norm();
unit_c.rotate(dir);
stim::circle<T> c1(outlet[i].V[j], outlet[i].r, dir, unit_c.U);
stim::circle<T> c2(outlet[i].V[j + 1], outlet[i].r, dir, unit_c.U);
cp1 = c1.glpoints(subdivision);
cp2 = c2.glpoints(subdivision);
glBegin(GL_QUAD_STRIP);
for (unsigned k = 0; k < cp1.size(); k++) {
glVertex3f(cp1[k][0], cp1[k][1], cp1[k][2]);
glVertex3f(cp2[k][0], cp2[k][1], cp2[k][2]);
}
glEnd();
|
9191c39e
Jiaming Guo
first version of ...
|
1165
|
}
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}
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glEndList();
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}
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glCallList(dlist + 1);
}
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// draw gradient color bounding box outside the object
void bounding_box() {
stim::vec3<T> L = bb.A; // get the bottom left corner
stim::vec3<T> U = bb.B; // get the top right corner
glLineWidth(1);
// front face of the box (in L[2])
glBegin(GL_LINE_LOOP);
glColor3f(0.0f, 0.0f, 0.0f);
glVertex3f(L[0], L[1], L[2]);
glColor3f(0.0f, 1.0f, 0.0f);
glVertex3f(L[0], U[1], L[2]);
glColor3f(1.0f, 1.0f, 0.0f);
glVertex3f(U[0], U[1], L[2]);
glColor3f(1.0f, 0.0f, 0.0f);
glVertex3f(U[0], L[1], L[2]);
glEnd();
// back face of the box (in U[2])
glBegin(GL_LINE_LOOP);
glColor3f(1.0f, 1.0f, 1.0f);
glVertex3f(U[0], U[1], U[2]);
glColor3f(0.0f, 1.0f, 1.0f);
glVertex3f(L[0], U[1], U[2]);
glColor3f(0.0f, 0.0f, 1.0f);
glVertex3f(L[0], L[1], U[2]);
glColor3f(1.0f, 0.0f, 1.0f);
glVertex3f(U[0], L[1], U[2]);
glEnd();
// fill out the rest of the lines to connect the two faces
glBegin(GL_LINES);
glColor3f(0.0f, 1.0f, 0.0f);
glVertex3f(L[0], U[1], L[2]);
glColor3f(0.0f, 1.0f, 1.0f);
glVertex3f(L[0], U[1], U[2]);
glColor3f(1.0f, 1.0f, 1.0f);
glVertex3f(U[0], U[1], U[2]);
glColor3f(1.0f, 1.0f, 0.0f);
glVertex3f(U[0], U[1], L[2]);
glColor3f(1.0f, 0.0f, 0.0f);
glVertex3f(U[0], L[1], L[2]);
glColor3f(1.0f, 0.0f, 1.0f);
glVertex3f(U[0], L[1], U[2]);
glColor3f(0.0f, 0.0f, 1.0f);
glVertex3f(L[0], L[1], U[2]);
glColor3f(0.0f, 0.0f, 0.0f);
glVertex3f(L[0], L[1], L[2]);
glEnd();
}
// mark the vertex
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void mark_vertex(T scale) {
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glColor3f(0.0f, 0.0f, 0.0f);
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for (unsigned i = 0; i < num_vertex; i++) {
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glRasterPos3f(V[i][0], V[i][1] + get_radius(i) * scale, V[i][2]);
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std::stringstream ss;
ss << i;
glutBitmapString(GLUT_BITMAP_HELVETICA_18, (const unsigned char*)(ss.str().c_str()));
}
}
// find the nearest vertex of current click position
// return true and a value if found
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inline bool epsilon_vertex(T x, T y, T z, T eps, T scale, unsigned& v) {
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T d = FLT_MAX; // minimum distance between 2 vertices
T tmp_d = 0.0f; // temporary stores distance for loop
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unsigned tmp_i = 0; // temporary stores connection index for loop
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stim::vec3<T> tmp_v; // temporary stores current loop point
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d = FLT_MAX; // set to max of float number
for (unsigned i = 0; i < V.size(); i++) {
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tmp_v = stim::vec3<T>(x, y, z);
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tmp_v = tmp_v - V[i]; // calculate a vector between two vertices
tmp_d = tmp_v.len(); // calculate length of that vector
if (tmp_d < d) {
d = tmp_d; // if found a nearer vertex
tmp_i = i; // get the index of that vertex
}
}
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eps += get_radius(tmp_i) * scale; // increase epsilon accordingly
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if (d < eps) { // if current click is close to any vertex
v = tmp_i; // copy the extant vertex's index to v
return true;
}
return false;
}
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// find the nearest inlet/outlet connection line of current click position
// ab -> line segment, v -> point
// return true and a value if found
inline bool epsilon_edge(T x, T y, T z, T eps, unsigned &idx) {
T d = FLT_MAX;
T tmp_d;
unsigned tmp_i = 0;
unsigned tmp_j = 0;
stim::vec3<T> v1;
stim::vec3<T> v2;
stim::vec3<T> v3;
stim::vec3<T> v0 = stim::vec3<float>(x, y, z);
bool online = false; // flag indicates the point is on the line-segment
float a, b;
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// inner network
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for (unsigned i = 0; i < E.size(); i++) {
for (unsigned j = 0; j < E[i].size() - 1; j++) {
v1 = E[i][j + 1] - E[i][j]; // a -> b = ab
v2 = v0 - E[i][j]; // a -> v = av
v3 = v0 - E[i][j + 1]; // b -> v = bv
tmp_d = v2.dot(v1); // av·ab
// check the line relative position
a = v2.dot(v1.norm());
b = v3.dot(v1.norm());
if (a < v1.len() && b < v1.len()) // if the length of projection fragment is longer than the line-segment
online = true;
else
online = false;
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if (tmp_d <= 0.0 || tmp_d >= std::pow(v1.len(), 2) && !online) // projection lies outside the line-segment
|
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continue;
else {
tmp_d = v1.cross(v2).len() / v1.len(); // perpendicular distance of point to segment: |v1 x v2| / |v1|
if (tmp_d < d) {
d = tmp_d;
tmp_i = i;
tmp_j = j;
}
}
}
}
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eps += get_radius(tmp_i, tmp_j);
if (d < eps) {
idx = tmp_i;
return true;
}
return false;
}
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inline bool epsilon_edge(T x, T y, T z, T eps, unsigned &idx, unsigned &port) {
T d = FLT_MAX;
T tmp_d;
unsigned tmp_i = 0;
stim::vec3<T> v1;
stim::vec3<T> v2;
stim::vec3<T> v3;
stim::vec3<T> v0 = stim::vec3<float>(x, y, z);
bool online = false; // flag indicates the point is on the line-segment
float a, b;
// inlet connection
for (unsigned i = 0; i < inlet.size(); i++) {
for (unsigned j = 0; j < inlet[i].V.size() - 1; j++) {
v1 = inlet[i].V[j + 1] - inlet[i].V[j];
v2 = v0 - inlet[i].V[j];
v3 = v0 - inlet[i].V[j + 1];
tmp_d = v2.dot(v1); // av·ab
// check the line relative position
a = v2.dot(v1.norm());
b = v3.dot(v1.norm());
if (a < v1.len() && b < v1.len()) // if the length of projection fragment is longer than the line-segment
online = true;
else
online = false;
if (tmp_d <= 0.0 || tmp_d > std::pow(v1.len(), 2) && !online) // projection lies outside the line-segment
continue;
else {
tmp_d = v1.cross(v2).len() / v1.len(); // perpendicular distance of point to segment: |v1 x v2| / |v1|
if (tmp_d < d) {
d = tmp_d;
tmp_i = i;
port = 0;
}
}
}
}
// outlet connection
for (unsigned i = 0; i < outlet.size(); i++) {
for (unsigned j = 0; j < outlet[i].V.size() - 1; j++) {
v1 = outlet[i].V[j + 1] - outlet[i].V[j];
v2 = v0 - outlet[i].V[j];
v3 = v0 - outlet[i].V[j + 1];
tmp_d = v2.dot(v1); // av·ab
// check the line relative position
a = v2.dot(v1.norm());
b = v3.dot(v1.norm());
if (a < v1.len() && b < v1.len()) // if the length of projection fragment is longer than the line-segment
online = true;
else
online = false;
if (tmp_d <= 0.0 || tmp_d > std::pow(v1.len(), 2) && !online) // projection lies outside the line-segment
continue;
else {
tmp_d = v1.cross(v2).len() / v1.len(); // perpendicular distance of point to segment: |v1 x v2| / |v1|
if (tmp_d < d) {
d = tmp_d;
tmp_i = i;
port = 1;
}
}
}
}
if (d < eps) {
idx = tmp_i;
return true;
}
return false;
}
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/// build main feeder connection
// set up main feeder and main port of both input and output
|
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Jiaming Guo
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|
1403
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void set_main_feeder(T border = 100.0f) {
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Jiaming Guo
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// 0 means outgoing while 1 means incoming
stim::vec3<T> inlet_main_feeder;
stim::vec3<T> outlet_main_feeder;
inlet_main_feeder = stim::vec3<T>(bb.A[0] - border, bb.center()[1], bb.center()[2]);
outlet_main_feeder = stim::vec3<T>(bb.B[0] + border, bb.center()[1], bb.center()[2]);
main_feeder.push_back(inlet_main_feeder);
main_feeder.push_back(outlet_main_feeder);
// find both input and output vertex
stim::triple<unsigned, unsigned, float> tmp;
unsigned N = pendant_vertex.size(); // get the number of dangle vertex
unsigned idx = 0;
for (unsigned i = 0; i < N; i++) { // for every boundary vertex
idx = pendant_vertex[i];
for (unsigned j = 0; j < num_edge; j++) { // for every edge
if (Q[j].first == idx) { // starting vertex
if (Q[j].third > 0) { // flow comes in
tmp.first = idx;
tmp.second = j;
tmp.third = Q[j].third;
input.push_back(tmp);
break;
}
// their might be a degenerate case that it equals to 0?
else if (Q[j].third < 0) { // flow comes out
tmp.first = idx;
tmp.second = j;
tmp.third = -Q[j].third;
output.push_back(tmp);
break;
}
}
else if (Q[j].second == idx) { // ending vertex
if (Q[j].third > 0) { // flow comes in
tmp.first = idx;
tmp.second = j;
tmp.third = Q[j].third;
output.push_back(tmp);
break;
}
// their might be a degenerate case that it equals to 0?
else if (Q[j].third < 0) { // flow comes out
tmp.first = idx;
tmp.second = j;
tmp.third = -Q[j].third;
input.push_back(tmp);
break;
}
}
}
}
}
// build connection between all inlets and outlets
// connection will trail along one axis around the bounding box
|
8334680a
Jiaming Guo
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|
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void build_synthetic_connection(T viscosity, T radius = 5.0f) {
|
9191c39e
Jiaming Guo
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stim::vec3<T> L = bb.A; // get the bottom left corner
stim::vec3<T> U = bb.B; // get the top right corner
T box_length = U[0] - L[0];
T x0, dx;
stim::vec3<T> tmp_v; // start vertex
stim::vec3<T> mid_v; // middle point of the bridge
stim::vec3<T> bus_v; // point on the bus
|
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x0 = main_feeder[0][0] + 15.0f; // assume bus length is 40.0f
|
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for (unsigned i = 0; i < input.size(); i++) {
tmp_v = V[input[i].first];
|
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Jiaming Guo
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|
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dx = 30.0f * ((tmp_v[0] - L[0]) / box_length); // the socket position depends on proximity
|
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bus_v = stim::vec3<T>(x0 - dx, main_feeder[0][1], tmp_v[2]);
mid_v = stim::vec3<T>(x0 - dx, tmp_v[1], tmp_v[2]);
stim::bridge<T> tmp_b;
tmp_b.V.push_back(bus_v);
tmp_b.V.push_back(mid_v);
tmp_b.V.push_back(tmp_v);
tmp_b.v.push_back(input[i].first);
tmp_b.Q = input[i].third;
tmp_b.l = (bus_v - mid_v).len() + (mid_v - tmp_v).len();
|
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tmp_b.r = radius;
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inlet.push_back(tmp_b);
}
|
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x0 = main_feeder[1][0] - 15.0f;
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for (unsigned i = 0; i < output.size(); i++) {
tmp_v = V[output[i].first];
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6ea69c93
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dx = 30.0f * ((U[0] - tmp_v[0]) / box_length); // the socket position depends on proximity
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bus_v = stim::vec3<T>(x0 + dx, main_feeder[1][1], tmp_v[2]);
mid_v = stim::vec3<T>(x0 + dx, tmp_v[1], tmp_v[2]);
stim::bridge<T> tmp_b;
tmp_b.V.push_back(bus_v);
tmp_b.V.push_back(mid_v);
tmp_b.V.push_back(tmp_v);
tmp_b.v.push_back(output[i].first);
tmp_b.Q = output[i].third;
tmp_b.l = (bus_v - mid_v).len() + (mid_v - tmp_v).len();
|
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tmp_b.r = radius;
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outlet.push_back(tmp_b);
}
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backup();
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}
|
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// find the number of U-shape or square-shape structure for extending length of connection
// @param t: width = t * radius
int find_number_square(T origin_l, T desire_l, T radius = 5.0f, int times = 4) {
bool done = false; // flag indicates the current number of square shape structure is feasible
|
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int n = origin_l / (times * 4 * radius);// number of square shape structure
|
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T need_l = desire_l - origin_l;
T height; // height of the square shapce structure
while (!done) {
height = need_l / (2 * n); // calculate the height
if (height > 2 * radius) {
done = true;
}
else {
n--;
}
}
return n;
}
// build square connections
void build_square_connection(int i, T width, T height, T origin_l, T desire_l, int n, int feeder, T threshold, bool z, bool left = true, bool up = true, int times = 4, T ratio = 0, T radius = 5.0f) {
int coef_up = (up) ? 1 : -1; // y coefficient
int coef_left = (left) ? 1 : -1; // x coefficient
int coef_z = (z) ? 1 : -1; // z coefficient
int inverse = 1; // inverse flag
stim::vec3<T> cor_v; // corner vertex
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std::pair<stim::vec3<T>, stim::vec3<T>> tmp_bb;
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stim::vec3<T> tmp_v;
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if (feeder == 1)
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tmp_v = inlet[i].V[inlet[i].V.size() - 1];
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else if (feeder == 0)
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tmp_v = outlet[i].V[outlet[i].V.size() - 1];
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tmp_bb.first = tmp_v;
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// check whether the height of connections is acceptable
if (height > threshold) { // acceptable
// re-calculate height
if (ratio > 0.0f && ratio <= 1.0f) { // use fragment if set
cor_v = tmp_v + stim::vec3<T>(-coef_left * origin_l, 0, 0); // get the original corner vertex
desire_l = desire_l - origin_l * (1.0f - ratio / 1.0f);
origin_l = (T)origin_l * ratio / 1.0f;
n = find_number_square(origin_l, desire_l);
}
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
// check whether the connections are good
while (height > threshold) {
n++;
width = (T)(origin_l) / (2 * n);
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
// check whether it appears overlap
if (width < times * radius) {
n--;
width = (T)(origin_l) / (2 * n);
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
break;
}
}
while (height < times * radius) {
n--;
width = (T)(origin_l) / (2 * n);
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
}
// cube-like structure construction
for (int j = 0; j < n; j++) {
// "up"
for (int k = 0; k < n; k++) {
// in
tmp_v = tmp_v + stim::vec3<T>(0, 0, coef_z * height);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
// "up"
tmp_v = tmp_v + stim::vec3<T>(0, inverse * coef_up * width, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
// out
tmp_v = tmp_v + stim::vec3<T>(0, 0, -coef_z * height);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
// "down"
tmp_v = tmp_v + stim::vec3<T>(0, inverse * coef_up * width, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
}
// "left"
tmp_v = tmp_v + stim::vec3<T>(-coef_left * width, 0, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
if (inverse == 1) // revert inverse
inverse = -1;
else
inverse = 1;
// "down"
for (int k = 0; k < n; k++) {
tmp_v = tmp_v + stim::vec3<T>(0, 0, coef_z * height);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
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if (j == n - 1 && k == 0) // first time go "in"
tmp_bb.second = tmp_v;
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tmp_v = tmp_v + stim::vec3<T>(0, inverse * coef_up * width, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
tmp_v = tmp_v + stim::vec3<T>(0, 0, -coef_z * height);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
tmp_v = tmp_v + stim::vec3<T>(0, inverse * coef_up * width, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
}
// "left"
tmp_v = tmp_v + stim::vec3<T>(-coef_left * width, 0, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
if (inverse == 1) // revert inverse
inverse = -1;
else
inverse = 1;
}
// if use fragment to do square wave connection, need to push_back the corner vertex
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if (ratio > 0.0f && ratio < 1.0f) {
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if (feeder == 1)
inlet[i].V.push_back(cor_v);
else if (feeder == 0)
outlet[i].V.push_back(cor_v);
}
}
else {
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if (height < times * radius) { // if height is too small, decrease n and re-calculate height and width
height = times * radius;
T need_l = desire_l - origin_l;
n = need_l / (2 * height);
if (n == 0)
n = 1;
height = need_l / (2 * n);
width = origin_l / (2 * n);
}
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for (int j = 0; j < n; j++) {
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// up
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tmp_v = tmp_v + stim::vec3<T>(0, coef_up * height, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
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// left
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tmp_v = tmp_v + stim::vec3<T>(-coef_left * width, 0, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
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if (j == n - 1)
tmp_bb.second = tmp_v;
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// down
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tmp_v = tmp_v + stim::vec3<T>(0, -coef_up * height, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
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// left
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tmp_v = tmp_v + stim::vec3<T>(-coef_left * width, 0, 0);
if (feeder == 1)
inlet[i].V.push_back(tmp_v);
else if (feeder == 0)
outlet[i].V.push_back(tmp_v);
}
}
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if (feeder == 1)
inbb[i] = tmp_bb;
else if (feeder == 0)
outbb[i] = tmp_bb;
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}
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// automatically modify bridge to make it feasible
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void modify_synthetic_connection(T viscosity, T rou, bool H, T threshold, T ratio = 0.0f, T radius = 5.0f) {
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glDeleteLists(dlist, 1); // delete display list for modify
glDeleteLists(dlist + 1, 1);
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// because of radius change at the port vertex, there will be a pressure drop at that port
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// it follows the bernoulli equation
// p1 + 1/2*rou*v1^2 + rou*g*h1 = p2 + 1/2*rou*v2^2 + rou*g*h2
// Q1 = Q2 -> v1*r1^2 = v2*r2^2
std::vector<T> new_pressure = pressure;
unsigned idx;
for (unsigned i = 0; i < pendant_vertex.size(); i++) {
idx = pendant_vertex[i];
T tmp_v = get_velocity(idx); // velocity at that pendant vertex
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T ar = get_radius(idx) / radius;
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new_pressure[idx] = pressure[idx] + 1.0f / 2.0f * rou * std::pow(tmp_v, 2) * (1.0f - std::pow(ar, 4));
}
// increase r -> increase Q -> decrease l
// find maximum pressure inlet port
T source_pressure = FLT_MIN; // source pressure
unsigned inlet_index;
T tmp_p;
for (unsigned i = 0; i < inlet.size(); i++) {
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tmp_p = new_pressure[inlet[i].v[0]] + ((8 * viscosity * inlet[i].l * inlet[i].Q) / ((float)stim::PI * std::pow(radius, 4)));
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if (tmp_p > source_pressure) {
source_pressure = tmp_p;
inlet_index = i;
}
}
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// find minimum pressure outlet port
T end_pressure = FLT_MAX;
unsigned outlet_index;
for (unsigned i = 0; i < outlet.size(); i++) {
tmp_p = new_pressure[outlet[i].v[0]] - ((8 * viscosity * outlet[i].l * outlet[i].Q) / ((float)stim::PI * std::pow(radius, 4)));
if (tmp_p < end_pressure) {
end_pressure = tmp_p;
outlet_index = i;
}
}
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// automatically modify inlet bridge using Hilbert curves
if (H) {
bool upper = false; // flag indicates the whether the port is upper than main feeder
bool invert = false; // there are two version of hilbert curve depends on starting position with respect to the cup
T new_l;
stim::vec3<T> bus_v; // the port point on the bus
stim::vec3<T> mid_v; // the original corner point
stim::vec3<T> tmp_v; // the pendant point
int order = 0; // order of hilbert curve (iteration)
for (unsigned i = 0; i < inlet.size(); i++) {
if (i != inlet_index) {
new_l = (source_pressure - new_pressure[inlet[i].v[0]]) * ((float)stim::PI * std::pow(radius, 4)) / (8 * viscosity * inlet[i].Q);
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if (inlet[i].V[2][1] > main_feeder[0][1]) { // check out upper side of lower side
upper = true;
invert = false;
}
else {
upper = false;
invert = true;
}
T origin_l = (inlet[i].V[1] - inlet[i].V[2]).len();
T desire_l = new_l - (inlet[i].V[0] - inlet[i].V[1]).len();
find_hilbert_order(origin_l, desire_l, order);
bus_v = inlet[i].V[0];
mid_v = inlet[i].V[1];
tmp_v = inlet[i].V[2];
inlet[i].V.clear();
inlet[i].V.push_back(tmp_v);
inlet[i].l = new_l;
if (desire_l - origin_l < 2 * radius) { // do not need to use hilbert curve, just increase the length by draging out
T d = new_l - inlet[i].l;
stim::vec3<T> corner = stim::vec3<T>(tmp_v[0], tmp_v[1] + d / 2.0f * (tmp_v[1] > main_feeder[0][1] ? 1 : -1), tmp_v[2]);
inlet[i].V.push_back(corner);
corner = stim::vec3<T>(mid_v[0], mid_v[1] + d / 2.0f * (tmp_v[1] > main_feeder[0][1] ? 1 : -1), mid_v[2]);
inlet[i].V.push_back(corner);
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6765b32b
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inlet[i].V.push_back(bus_v);
}
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else {
T fragment = (desire_l - origin_l) / ((std::pow(4, order) - 1) / (std::pow(2, order) - 1) - 1); // the length of the opening of cup
T dl = fragment / (std::pow(2, order) - 1); // unit cup length
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add hilbert curve
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if (dl > 2 * radius) { // if the radius is feasible
if (upper)
hilbert_curve(i, &tmp_v[0], order, dl, 1, invert, DOWN);
else
hilbert_curve(i, &tmp_v[0], order, dl, 1, invert, UP);
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if (tmp_v[0] != mid_v[0])
inlet[i].V.push_back(mid_v);
inlet[i].V.push_back(bus_v);
}
else { // if the radius is not feasible
int count = 1;
while (dl <= 2 * radius) {
dl = origin_l / (std::pow(2, order - count) - 1);
count++;
}
count--;
if (upper)
hilbert_curve(i, &tmp_v[0], order - count, dl, 1, invert, DOWN);
else
hilbert_curve(i, &tmp_v[0], order - count, dl, 1, invert, UP);
desire_l -= origin_l * ((std::pow(4, order - count) - 1) / (std::pow(2, order - count) - 1));
origin_l = (bus_v - mid_v).len();
desire_l += origin_l;
find_hilbert_order(origin_l, desire_l, order);
fragment = (desire_l - origin_l) / ((std::pow(4, order) - 1) / (std::pow(2, order) - 1) - 1);
dl = fragment / (std::pow(2, order) - 1);
if (dl < 2 * radius)
std::cout << "infeasible connection between inlets!" << std::endl;
if (upper)
hilbert_curve(i, &tmp_v[0], order, dl, 1, !invert, LEFT);
else
hilbert_curve(i, &tmp_v[0], order, dl, 1, !invert, RIGHT);
if (tmp_v[1] != bus_v[1])
inlet[i].V.push_back(bus_v);
}
}
std::reverse(inlet[i].V.begin(), inlet[i].V.end()); // from bus to pendant vertex
}
}
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6765b32b
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add hilbert curve
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// automatically modify outlet bridge to make it feasible
for (unsigned i = 0; i < outlet.size(); i++) {
if (i != outlet_index) {
new_l = (new_pressure[outlet[i].v[0]] - end_pressure) * ((float)stim::PI * std::pow(radius, 4)) / (8 * viscosity * outlet[i].Q);
|
6765b32b
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add hilbert curve
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if (outlet[i].V[2][1] > main_feeder[1][1]) {
upper = true;
invert = true;
}
else {
upper = false;
invert = false;
}
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add hilbert curve
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T origin_l = (outlet[i].V[1] - outlet[i].V[2]).len();
T desire_l = new_l - (outlet[i].V[0] - outlet[i].V[1]).len();
find_hilbert_order(origin_l, desire_l, order);
bus_v = outlet[i].V[0];
mid_v = outlet[i].V[1];
tmp_v = outlet[i].V[2];
outlet[i].V.clear();
outlet[i].V.push_back(tmp_v);
outlet[i].l = new_l;
if (desire_l - origin_l < 2 * radius) { // do not need to use hilbert curve, just increase the length by draging out
T d = new_l - outlet[i].l;
stim::vec3<T> corner = stim::vec3<T>(tmp_v[0], tmp_v[1] + d / 2.0f * (tmp_v[1] > main_feeder[0][1] ? 1 : -1), tmp_v[2]);
outlet[i].V.push_back(corner);
corner = stim::vec3<T>(mid_v[0], mid_v[1] + d / 2.0f * (tmp_v[1] > main_feeder[0][1] ? 1 : -1), mid_v[2]);
outlet[i].V.push_back(corner);
outlet[i].V.push_back(bus_v);
}
else {
T fragment = (desire_l - origin_l) / ((std::pow(4, order) - 1) / (std::pow(2, order) - 1) - 1); // the length of the opening of cup
T dl = fragment / (std::pow(2, order) - 1); // unit cup length
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add hilbert curve
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if (dl > 2 * radius) { // if the radius is feasible
if (upper)
hilbert_curve(i, &tmp_v[0], order, dl, 0, invert, DOWN);
else
hilbert_curve(i, &tmp_v[0], order, dl, 0, invert, UP);
if (tmp_v[0] != mid_v[0])
outlet[i].V.push_back(mid_v);
outlet[i].V.push_back(bus_v);
}
else { // if the radius is not feasible
int count = 1;
while (dl <= 2 * radius) {
dl = origin_l / (std::pow(2, order - count) - 1);
count++;
}
count--;
if (upper)
hilbert_curve(i, &tmp_v[0], order - count, dl, 0, invert, DOWN);
else
hilbert_curve(i, &tmp_v[0], order - count, dl, 0, invert, UP);
desire_l -= origin_l * ((std::pow(4, order - count) - 1) / (std::pow(2, order - count) - 1));
origin_l = (bus_v - mid_v).len();
desire_l += origin_l;
find_hilbert_order(origin_l, desire_l, order);
fragment = (desire_l - origin_l) / ((std::pow(4, order) - 1) / (std::pow(2, order) - 1) - 1);
dl = fragment / (std::pow(2, order) - 1);
if (dl < 2 * radius)
std::cout << "infeasible connection between outlets!" << std::endl;
if (upper)
hilbert_curve(i, &tmp_v[0], order, dl, 0, !invert, LEFT);
else
hilbert_curve(i, &tmp_v[0], order, dl, 0, !invert, RIGHT);
if (tmp_v[1] != bus_v[1])
outlet[i].V.push_back(bus_v);
}
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|
1937
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}
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std::reverse(outlet[i].V.begin(), outlet[i].V.end());
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add hilbert curve
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1939
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}
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first version of ...
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}
}
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// automatically modify inlet bridge using square shape constructions
else {
bool upper; // flag indicates the connection is upper than the bus
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add new function:...
|
1945
|
bool z; // flag indicates the connection direction along z-axis
|
8334680a
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add square wave c...
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1946
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T new_l; // new length
stim::vec3<T> bus_v; // the port point on the bus
stim::vec3<T> mid_v; // the original corner point
stim::vec3<T> tmp_v; // the pendant point
int n;
T width, height; // width and height of the square
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inbb.resize(inlet.size()); // resize bounding box of inlets/outlets connections
outbb.resize(outlet.size());
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for (unsigned i = 0; i < inlet.size(); i++) {
if (i != inlet_index) {
new_l = (source_pressure - new_pressure[inlet[i].v[0]]) * ((float)stim::PI * std::pow(radius, 4)) / (8 * viscosity * inlet[i].Q); // calculate the new length of the connection
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bus_v = inlet[i].V[0];
mid_v = inlet[i].V[1];
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1961
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tmp_v = inlet[i].V[2]; // not always pendant vertex
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1962
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if (inlet[i].V[2][1] > main_feeder[0][1]) // check out upper side of lower side
upper = true;
else
upper = false;
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if (inlet[i].V[2][2] > main_feeder[0][2])
z = true;
else
z = false;
T origin_l = (inlet[i].V[1] - inlet[i].V[2]).len();
T desire_l = new_l - (inlet[i].V[0] - inlet[i].V[1]).len();
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if (inlet[i].V.size() != 3) {
desire_l = new_l - (inlet[i].V[0] - inlet[i].V[1]).len() - (inlet[i].V[2] - inlet[i].V[3]).len();
stim::vec3<T> tmp = inlet[i].V[3];
inlet[i].V.clear();
inlet[i].V.push_back(tmp);
inlet[i].V.push_back(tmp_v);
}
else {
inlet[i].V.clear();
inlet[i].V.push_back(tmp_v);
}
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inlet[i].l = new_l;
n = find_number_square(origin_l, desire_l);
width = (T)origin_l / (2 * n);
height = (desire_l - origin_l) / (2 * n);
build_square_connection(i, width, height, origin_l, desire_l, n, 1, threshold, z, true, upper, 10, ratio);
inlet[i].V.push_back(bus_v);
std::reverse(inlet[i].V.begin(), inlet[i].V.end()); // from bus to pendant vertex
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1997
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}
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else {
inbb[i].first = inlet[i].V[2];
inbb[i].second = inlet[i].V[1];
}
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}
for (unsigned i = 0; i < outlet.size(); i++) {
if (i != outlet_index) {
new_l = (new_pressure[outlet[i].v[0]] - end_pressure) * ((float)stim::PI * std::pow(radius, 4)) / (8 * viscosity * outlet[i].Q); // calculate the new length of the connection
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bus_v = outlet[i].V[0];
mid_v = outlet[i].V[1];
tmp_v = outlet[i].V[2];
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2011
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if (outlet[i].V[2][1] > main_feeder[1][1]) // check out upper side of lower side
upper = true;
else
upper = false;
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2016
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if (outlet[i].V[2][2] > main_feeder[1][2])
z = true;
else
z = false;
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T origin_l = (outlet[i].V[1] - outlet[i].V[2]).len();
T desire_l = new_l - (outlet[i].V[0] - outlet[i].V[1]).len();
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|
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if (outlet[i].V.size() != 3) {
desire_l = new_l - (outlet[i].V[0] - outlet[i].V[1]).len() - (outlet[i].V[2] - outlet[i].V[3]).len();
stim::vec3<T> tmp = outlet[i].V[3];
outlet[i].V.clear();
outlet[i].V.push_back(tmp);
outlet[i].V.push_back(tmp_v);
}
else {
outlet[i].V.clear();
outlet[i].V.push_back(tmp_v);
}
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outlet[i].l = new_l;
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2036
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n = find_number_square(origin_l, desire_l);
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2038
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width = (T)origin_l / (2 * n);
height = (desire_l - origin_l) / (2 * n);
build_square_connection(i, width, height, origin_l, desire_l, n, 0, threshold, z, false, upper, 10, ratio);
outlet[i].V.push_back(bus_v);
std::reverse(outlet[i].V.begin(), outlet[i].V.end()); // from bus to pendant vertex
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2046
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}
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else {
outbb[i].first = outlet[i].V[2];
outbb[i].second = outlet[i].V[1];
}
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}
}
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check_special_connection(); // check special connections
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}
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/// check current connections to find overlapping
// phase 1 check -> direct connection intersection
void check_direct_connection() {
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unsigned num;
// check inlet
num = inlet.size();
inlet_feasibility.resize(num, true);
for (unsigned i = 0; i < num; i++) {
for (unsigned j = 0; j < num; j++) {
if (i != j) {
if (inlet[i].V[0][2] == inlet[j].V[0][2]) {
if ((inlet[i].V[1][0] <= inlet[j].V[1][0] && fabs(inlet[i].V[1][1]) <= fabs(inlet[j].V[1][1])) || (inlet[i].V[1][0] >= inlet[j].V[1][0] && fabs(inlet[i].V[1][1]) >= fabs(inlet[j].V[1][1]))) {
inlet_feasibility[i] = false;
break;
}
}
else
inlet_feasibility[i] = true;
}
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}
}
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// check outlet
num = outlet.size();
outlet_feasibility.resize(num, true);
for (unsigned i = 0; i < num; i++) {
for (unsigned j = 0; j < num; j++) {
if (i != j) {
if (outlet[i].V[0][2] == outlet[j].V[0][2]) {
if ((outlet[i].V[1][0] <= outlet[j].V[1][0] && fabs(outlet[i].V[1][1]) >= fabs(outlet[j].V[1][1])) || (outlet[i].V[1][0] >= outlet[j].V[1][0] && fabs(outlet[i].V[1][1]) <= fabs(outlet[j].V[1][1]))) {
outlet_feasibility[i] = false;
break;
}
}
else
outlet_feasibility[i] = true;
}
}
}
}
// phase 2 check -> special connection intersection
void check_special_connection(T radius = 5.0f) {
// temp AABB centers and halfwidths
stim::vec3<T> c1, c2;
stim::vec3<T> r1, r2;
// inlets' special connections checking
for (unsigned i = 0; i < inbb.size(); i++) {
for (unsigned j = 0; j < inbb.size(); j++) {
if (j != i) {
c1 = stim::vec3<T>((inbb[i].first + inbb[i].second) / 2);
c2 = stim::vec3<T>((inbb[j].first + inbb[j].second) / 2);
for (unsigned k = 0; k < 3; k++) {
r1[k] = fabs(inbb[i].first[k] - inbb[i].second[k]) / 2;
r2[k] = fabs(inbb[j].first[k] - inbb[j].second[k]) / 2;
}
// test AABBAABB
if (fabs(c1[0] - c2[0]) > (r1[0] + r2[0] + 2 * radius) || fabs(c1[1] - c2[1]) > (r1[1] + r2[1] + 2 * radius) || fabs(c1[2] - c2[2]) > (r1[2] + r2[2] + 2 * radius))
inlet_feasibility[i] = true;
else
inlet_feasibility[i] = false;
}
}
}
// outlets' special connections checking
for (unsigned i = 0; i < outbb.size(); i++) {
for (unsigned j = 0; j < outbb.size(); j++) {
if (j != i) {
c1 = stim::vec3<T>((outbb[i].first + outbb[i].second) / 2);
c2 = stim::vec3<T>((outbb[j].first + outbb[j].second) / 2);
for (unsigned k = 0; k < 3; k++) {
r1[k] = fabs(outbb[i].first[k] - outbb[i].second[k]) / 2;
r2[k] = fabs(outbb[j].first[k] - outbb[j].second[k]) / 2;
}
// test AABBAABB
if (fabs(c1[0] - c2[0]) > (r1[0] + r2[0] + 2 * radius) || fabs(c1[1] - c2[1]) > (r1[1] + r2[1] + 2 * radius) || fabs(c1[2] - c2[2]) > (r1[2] + r2[2] + 2 * radius))
outlet_feasibility[i] = true;
else
outlet_feasibility[i] = false;
}
}
}
}
// clear synthetic connections
void clear_synthetic_connection() {
// restore direct synthetic connecions
T l = 0.0f;
for (unsigned i = 0; i < inlet.size(); i++) {
inlet[i].V.clear();
for (unsigned j = 0; j < in_backup[i].size(); j++) {
inlet[i].V.push_back(in_backup[i][j]);
if (j != in_backup[i].size() - 1)
l += (in_backup[i][j + 1] - in_backup[i][j]).len();
}
inlet[i].l = l;
l = 0.0f;
}
for (unsigned i = 0; i < outlet.size(); i++) {
outlet[i].V.clear();
for (unsigned j = 0; j < out_backup[i].size(); j++) {
outlet[i].V.push_back(out_backup[i][j]);
if (j != out_backup[i].size() - 1)
l += (out_backup[i][j + 1] - out_backup[i][j]).len();
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}
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|
outlet[i].l = l;
l = 0.0f;
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|
2168
|
}
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// clear up inlets/outlets connection bounding box
inbb.clear();
outbb.clear();
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|
2173
2174
|
}
|
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|
2175
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|
// back up direct synthetic connection whenever modified
void backup() {
in_backup.clear();
out_backup.clear();
// back up direct synthetic connecions
std::vector<typename stim::vec3<T> > V;
for (unsigned i = 0; i < inlet.size(); i++) {
for (unsigned j = 0; j < inlet[i].V.size(); j++) {
V.push_back(inlet[i].V[j]);
}
in_backup.push_back(V);
V.clear();
}
for (unsigned i = 0; i < outlet.size(); i++) {
for (unsigned j = 0; j < outlet[i].V.size(); j++) {
V.push_back(outlet[i].V[j]);
}
out_backup.push_back(V);
V.clear();
}
}
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Jiaming Guo
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2200
2201
|
/// make binary image stack
// prepare for image stack
|
6ea69c93
Jiaming Guo
change bus size
|
2202
|
void preparation(T &Xl, T &Xr, T &Yt, T &Yb, T &Z, T length = 40.0f, T height = 10.0f) {
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Jiaming Guo
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|
2203
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|
2204
|
T max_radius = 0.0f;
|
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2205
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|
T top = FLT_MIN;
T bottom = FLT_MAX;
// clear up last time result
A.clear();
B.clear();
CU.clear();
// firstly push back the original network
stim::sphere<T> new_sphere;
stim::cone<T> new_cone;
stim::cuboid<T> new_cuboid;
// take every source bus as cuboid
new_cuboid.c = main_feeder[0];
new_cuboid.l = length;
new_cuboid.w = bb.B[2] - bb.A[2] + 10.0f;
new_cuboid.h = height;
CU.push_back(new_cuboid);
new_cuboid.c = main_feeder[1];
CU.push_back(new_cuboid);
// take every point as sphere, every line as cone
for (unsigned i = 0; i < num_edge; i++) {
for (unsigned j = 0; j < E[i].size(); j++) {
new_sphere.c = E[i][j];
new_sphere.r = E[i].r(j);
A.push_back(new_sphere);
if (j != E[i].size() - 1) {
new_cone.c1 = E[i][j];
new_cone.c2 = E[i][j + 1];
new_cone.r1 = E[i].r(j);
new_cone.r2 = E[i].r(j + 1);
B.push_back(new_cone);
}
}
}
// secondly push back outside connection
for (unsigned i = 0; i < inlet.size(); i++) {
|
6765b32b
Jiaming Guo
add hilbert curve
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2245
2246
|
for (unsigned j = 1; j < inlet[i].V.size() - 1; j++) {
new_sphere.c = inlet[i].V[j];
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first version of ...
|
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new_sphere.r = inlet[i].r;
A.push_back(new_sphere);
}
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2250
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}
for (unsigned i = 0; i < outlet.size(); i++) {
|
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add hilbert curve
|
2252
2253
|
for (unsigned j = 1; j < outlet[i].V.size() - 1; j++) {
new_sphere.c = outlet[i].V[j];
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Jiaming Guo
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new_sphere.r = outlet[i].r;
A.push_back(new_sphere);
|
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|
2256
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|
}
}
for (unsigned i = 0; i < inlet.size(); i++) {
for (unsigned j = 0; j < inlet[i].V.size() - 1; j++) {
new_cone.c1 = inlet[i].V[j];
new_cone.c2 = inlet[i].V[j + 1];
new_cone.r1 = inlet[i].r;
new_cone.r2 = inlet[i].r;
B.push_back(new_cone);
}
}
for (unsigned i = 0; i < outlet.size(); i++) {
for (unsigned j = 0; j < outlet[i].V.size() - 1; j++) {
new_cone.c1 = outlet[i].V[j];
new_cone.c2 = outlet[i].V[j + 1];
new_cone.r1 = outlet[i].r;
new_cone.r2 = outlet[i].r;
B.push_back(new_cone);
}
}
// find out the image stack size
Xl = main_feeder[0][0] - length / 2; // left bound x coordinate
Xr = main_feeder[1][0] + length / 2; // right bound x coordinate
for (unsigned i = 0; i < A.size(); i++) {
if (A[i].c[1] > top)
top = A[i].c[1];
if (A[i].c[1] < bottom)
bottom = A[i].c[1];
|
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add square wave c...
|
2287
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|
if (A[i].r > max_radius)
max_radius = A[i].r;
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|
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}
Yt = top; // top bound y coordinate
Yb = bottom; // bottom bound y coordinate
|
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|
2293
|
Z = (bb.B[2] - bb.A[2] + 2 * max_radius); // bounding box width(along z-axis)
|
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|
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}
/// making image stack main function
|
8334680a
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|
2297
|
void make_image_stack(T dx, T dy, T dz, std::string stackdir, T radius = 5.0f) {
|
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first version of ...
|
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|
/// preparation for making image stack
T X, Xl, Xr, Y, Yt, Yb, Z;
preparation(Xl, Xr, Yt, Yb, Z);
X = Xr - Xl; // bounding box length(along x-axis)
Y = Yt - Yb; // bounding box height(along y-axis)
/// make
stim::image_stack<unsigned char, T> I;
T size_x, size_y, size_z;
stim::vec3<T> center = bb.center(); // get the center of bounding box
size_x = X / dx + 1; // set the size of image
size_y = Y / dy + 1;
size_z = Z / dz + 1;
/// initialize image stack object
I.init(1, size_x, size_y, size_z);
I.set_dim(dx, dy, dz);
// because of lack of memory, we have to computer one slice of stack per time
// allocate vertex, edge and bus
stim::sphere<T> *d_V;
stim::cone<T> *d_E;
stim::cuboid<T> *d_B;
HANDLE_ERROR(cudaMalloc((void**)&d_V, A.size() * sizeof(stim::sphere<T>)));
HANDLE_ERROR(cudaMalloc((void**)&d_E, B.size() * sizeof(stim::cone<T>)));
HANDLE_ERROR(cudaMalloc((void**)&d_B, CU.size() * sizeof(stim::cuboid<T>)));
HANDLE_ERROR(cudaMemcpy(d_V, &A[0], A.size() * sizeof(stim::sphere<T>), cudaMemcpyHostToDevice));
HANDLE_ERROR(cudaMemcpy(d_E, &B[0], B.size() * sizeof(stim::cone<T>), cudaMemcpyHostToDevice));
HANDLE_ERROR(cudaMemcpy(d_B, &CU[0], CU.size() * sizeof(stim::cuboid<T>), cudaMemcpyHostToDevice));
// allocate image stack information memory
size_t* d_R;
T *d_S;
size_t* R = (size_t*)malloc(4 * sizeof(size_t)); // size in 4 dimension
R[0] = 1;
R[1] = (size_t)size_x;
R[2] = (size_t)size_y;
R[3] = (size_t)size_z;
T *S = (T*)malloc(4 * sizeof(T)); // spacing in 4 dimension
S[0] = 1.0f;
S[1] = dx;
S[2] = dy;
S[3] = dz;
size_t num = size_x * size_y;
HANDLE_ERROR(cudaMalloc((void**)&d_R, 4 * sizeof(size_t)));
HANDLE_ERROR(cudaMalloc((void**)&d_S, 4 * sizeof(T)));
HANDLE_ERROR(cudaMemcpy(d_R, R, 4 * sizeof(size_t), cudaMemcpyHostToDevice));
HANDLE_ERROR(cudaMemcpy(d_S, S, 4 * sizeof(T), cudaMemcpyHostToDevice));
// for every slice of image
unsigned p = 0; // percentage of progress
for (unsigned i = 0; i < size_z; i++) {
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6765b32b
Jiaming Guo
add hilbert curve
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int x = 0 - (int)Xl; // translate whole network(including inlet/outlet) to origin
int y = 0 - (int)Yb;
int z = i + (int)center[2]; // box symmetric along z-axis
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9191c39e
Jiaming Guo
first version of ...
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// allocate image slice memory
unsigned char* d_ptr;
unsigned char* ptr = (unsigned char*)malloc(num * sizeof(unsigned char));
memset(ptr, 0, num * sizeof(unsigned char));
HANDLE_ERROR(cudaMalloc((void**)&d_ptr, num * sizeof(unsigned char)));
cudaDeviceProp prop;
cudaGetDeviceProperties(&prop, 0); // get cuda device properties structure
size_t max_thread = sqrt(prop.maxThreadsPerBlock); // get the maximum number of thread per block
dim3 block(size_x / max_thread + 1, size_y / max_thread + 1);
dim3 thread(max_thread, max_thread);
inside_sphere << <block, thread >> > (d_V, A.size(), d_R, d_S, d_ptr, x, y, z);
cudaDeviceSynchronize();
inside_cone << <block, thread >> > (d_E, B.size(), d_R, d_S, d_ptr, x, y, z);
cudaDeviceSynchronize();
inside_cuboid << <block, thread >> > (d_B, CU.size(), d_R, d_S, d_ptr, x, y, z);
HANDLE_ERROR(cudaMemcpy(ptr, d_ptr, num * sizeof(unsigned char), cudaMemcpyDeviceToHost));
I.set(ptr, i);
free(ptr);
HANDLE_ERROR(cudaFree(d_ptr));
// print progress bar
p = (float)(i + 1) / (float)size_z * 100;
rtsProgressBar(p);
}
// clear up
free(R);
free(S);
HANDLE_ERROR(cudaFree(d_R));
HANDLE_ERROR(cudaFree(d_S));
HANDLE_ERROR(cudaFree(d_V));
HANDLE_ERROR(cudaFree(d_E));
HANDLE_ERROR(cudaFree(d_B));
if (stackdir == "")
I.save_images("image????.bmp");
else
I.save_images(stackdir + "/image????.bmp");
}
/// Calculate the inverse of A and store the result in C
void inversion(T** A, int order, T* C) {
#ifdef __CUDACC__
// convert from double pointer to single pointer, make it flat
T* Aflat = (T*)malloc(order * order * sizeof(T));
for (unsigned i = 0; i < order; i++)
for (unsigned j = 0; j < order; j++)
Aflat[i * order + j] = A[i][j];
// create device pointer
T* d_Aflat; // flat original matrix
T* d_Cflat; // flat inverse matrix
T** d_A; // put the flat original matrix into another array of pointer
T** d_C;
int *d_P;
int *d_INFO;
// allocate memory on device
HANDLE_ERROR(cudaMalloc((void**)&d_Aflat, order * order * sizeof(T)));
HANDLE_ERROR(cudaMalloc((void**)&d_Cflat, order * order * sizeof(T)));
HANDLE_ERROR(cudaMalloc((void**)&d_A, sizeof(T*)));
HANDLE_ERROR(cudaMalloc((void**)&d_C, sizeof(T*)));
HANDLE_ERROR(cudaMalloc((void**)&d_P, order * 1 * sizeof(int)));
HANDLE_ERROR(cudaMalloc((void**)&d_INFO, 1 * sizeof(int)));
// copy matrix from host to device
HANDLE_ERROR(cudaMemcpy(d_Aflat, Aflat, order * order * sizeof(T), cudaMemcpyHostToDevice));
// copy matrix from device to device
HANDLE_ERROR(cudaMemcpy(d_A, &d_Aflat, sizeof(T*), cudaMemcpyHostToDevice));
HANDLE_ERROR(cudaMemcpy(d_C, &d_Cflat, sizeof(T*), cudaMemcpyHostToDevice));
// calculate the inverse of matrix based on cuBLAS
cublasHandle_t handle;
CUBLAS_HANDLE_ERROR(cublasCreate_v2(&handle)); // create cuBLAS handle object
CUBLAS_HANDLE_ERROR(cublasSgetrfBatched(handle, order, d_A, order, d_P, d_INFO, 1));
int INFO = 0;
HANDLE_ERROR(cudaMemcpy(&INFO, d_INFO, sizeof(int), cudaMemcpyDeviceToHost));
if (INFO == order)
{
std::cout << "Factorization Failed : Matrix is singular." << std::endl;
cudaDeviceReset();
exit(1);
}
CUBLAS_HANDLE_ERROR(cublasSgetriBatched(handle, order, (const T **)d_A, order, d_P, d_C, order, d_INFO, 1));
CUBLAS_HANDLE_ERROR(cublasDestroy_v2(handle));
// copy inverse matrix from device to device
HANDLE_ERROR(cudaMemcpy(&d_Cflat, d_C, sizeof(T*), cudaMemcpyDeviceToHost));
// copy inverse matrix from device to host
HANDLE_ERROR(cudaMemcpy(C, d_Cflat, order * order * sizeof(T), cudaMemcpyDeviceToHost));
// clear up
free(Aflat);
HANDLE_ERROR(cudaFree(d_Aflat));
HANDLE_ERROR(cudaFree(d_Cflat));
HANDLE_ERROR(cudaFree(d_A));
HANDLE_ERROR(cudaFree(d_C));
HANDLE_ERROR(cudaFree(d_P));
HANDLE_ERROR(cudaFree(d_INFO));
#else
// get the determinant of a
double det = 1.0 / determinant(A, order);
// memory allocation
T* tmp = (T*)malloc((order - 1)*(order - 1) * sizeof(T));
T** minor = (T**)malloc((order - 1) * sizeof(T*));
for (int i = 0; i < order - 1; i++)
minor[i] = tmp + (i * (order - 1));
for (int j = 0; j < order; j++) {
for (int i = 0; i < order; i++) {
// get the co-factor (matrix) of A(j,i)
get_minor(A, minor, j, i, order);
C[i][j] = det * determinant(minor, order - 1);
if ((i + j) % 2 == 1)
C[i][j] = -C[i][j];
}
}
// release memory
free(tmp);
free(minor);
#endif
}
};
}
#endif
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