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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
};
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template <typename T>
struct circuit {
std::vector<typename std::pair<unsigned, unsigned> > v; // end vertex index
std::vector<T> r; // branch resistence
};
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/// 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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std::string units; // length units
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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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T Ps; // source and end pressure
T Pe;
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flow() {} // default constructor
~flow() {
for (unsigned i = 0; i < num_vertex; i++)
delete[] C[i];
delete[] C;
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} // default destructor
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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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}
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void set_units(std::string u) {
units = u;
}
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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
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C[start_vertex][end_vertex] = -((T)stim::PI * std::pow(get_average_r(i), 4)) / (8 * u * get_l(i));
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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
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T start_pressure = 0.0;
T end_pressure = 0.0;
T deltaP = 0.0;
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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 = ((T)stim::PI * std::pow(get_average_r(i), 4) * deltaP) / (8 * u * get_l(i));
v[i] = Q[i].third / ((T)stim::PI * std::pow(get_average_r(i), 2));
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}
}
// 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
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std::cout << "PRESSURE(g/" << units << "/s^2):" << std::endl;
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for (unsigned i = 0; i < num_vertex; i++) {
std::cout << "[" << i << "] " << pressure[i] << std::endl;
}
// show the flow rate information in console box
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std::cout << "VOLUME FLOW RATE(" << units << "^3/s):" << std::endl;
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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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}
}
// 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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Jiaming Guo
change bus size
|
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r1 = get_r(i, j) * scale;
r2 = get_r(i, j + 1) * scale;
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
837
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9e60c6a7
Jiaming Guo
fixed minor bug i...
|
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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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Jiaming Guo
first version of ...
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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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Jiaming Guo
first version of ...
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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) {
|
9e60c6a7
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;
|
6ea69c93
Jiaming Guo
change bus size
|
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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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std::vector<typename stim::vec3<T> > cp;
T radius;
|
6ea69c93
Jiaming Guo
change bus size
|
908
|
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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6ea69c93
Jiaming Guo
change bus size
|
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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][index + 1] + E[i][index]) / 2;
tmp_c.rotate(tmp_d);
|
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Jiaming Guo
change bus size
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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
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
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if (v[i] > 0)
|
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Jiaming Guo
change bus size
|
919
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head = center + tmp_d * h;
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
920
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else
|
6ea69c93
Jiaming Guo
change bus size
|
921
|
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();
}
|
9191c39e
Jiaming Guo
first version of ...
|
956
|
void glSolidCone(GLint subdivision) {
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
957
|
|
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
|
963
|
T h;
|
9191c39e
Jiaming Guo
first version of ...
|
964
965
|
T radius;
|
6ea69c93
Jiaming Guo
change bus size
|
966
|
glColor3f(0.600f, 0.847f, 0.788f);
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
967
|
// draw a cone for every edge to indicate
|
9191c39e
Jiaming Guo
first version of ...
|
968
|
for (unsigned i = 0; i < num_edge; i++) { // for every edge
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
969
970
971
|
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
|
972
|
h = tmp_d.len() / 3.0f; // get the height base by factor 3
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
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975
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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
|
977
|
radius = (h / sqrt(3) < radius) ? h / sqrt(3) : radius; // update radius by height base if necessary
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
978
|
if (v[i] > 0) // if flow flows from k1 to k2
|
6ea69c93
Jiaming Guo
change bus size
|
979
|
head = center + tmp_d * h;
|
9e60c6a7
Jiaming Guo
fixed minor bug i...
|
980
|
else
|
6ea69c93
Jiaming Guo
change bus size
|
981
|
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();
|
9191c39e
Jiaming Guo
first version of ...
|
990
|
|
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 ...
|
1011
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1013
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1015
|
}
glFlush();
}
// draw main feeder as solid cube
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1016
|
void glSolidCuboid(bool manufacture = false, T length = 40.0f, T height = 10.0f) {
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1017
|
|
9191c39e
Jiaming Guo
first version of ...
|
1018
1019
1020
1021
1022
|
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;
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1023
1024
1025
1026
|
if (manufacture)
glColor3f(0.0f, 0.0f, 0.0f); // black color
else
glColor3f(0.5f, 0.5f, 0.5f); // gray color
|
9191c39e
Jiaming Guo
first version of ...
|
1027
1028
1029
1030
1031
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1033
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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();
}
|
057ea93b
Jiaming Guo
add flow velocity...
|
1079
1080
1081
1082
1083
1084
1085
1086
1087
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1089
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1129
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1131
1132
1133
1134
1135
1136
|
// draw flow velocity field, glyph
void glyph(std::vector<unsigned char> color, GLint subdivision, T r = 4.0f) {
// v1----v2-->v3
T k = 4.0f; // quartering
stim::vec3<T> v1, v2, v3; // three point
stim::vec3<T> d; // direction vector
stim::circle<float> tmp_c;
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
glColor3f((float)color[i * 3 + 0] / 255.0f, (float)color[i * 3 + 1] / 255.0f, (float)color[i * 3 + 2] / 255.0f);
for (unsigned j = 0; j < E[i].size() - 1; j++) { // for every point on that edge
// consider the velocity valuence
if (v[i] > 0) { // positive, from start point to end point
v1 = E[i][j];
v3 = E[i][j + 1];
}
else { // negative, from end point to start point
v1 = E[i][j + 1];
v3 = E[i][j];
}
d = v3 - v1;
// place the arrow in the middel of one edge
v2 = v1 + (1.0f / k * 2.0f) * d; // looks like =->=
v1 = v1 + (1.0f / k) * d;
v3 = v3 - (1.0f / k) * d;
d = d.norm();
tmp_c.rotate(d);
// render the cylinder part
stim::circle<T> c1(v1, r / 2, d, tmp_c.U);
cp1 = c1.glpoints(subdivision);
stim::circle<T> c2(v2, r / 2, d, tmp_c.U);
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();
// render the cone part
stim::circle<T> c3(v2, r, d, tmp_c.U);
cp2 = c3.glpoints(subdivision);
glBegin(GL_TRIANGLE_FAN);
glVertex3f(v3[0], v3[1], v3[2]);
for (unsigned k = 0; k < cp2.size(); k++)
glVertex3f(cp2[k][0], cp2[k][1], cp2[k][2]);
glEnd();
}
}
glFlush();
}
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
|
// display the total volume flow rate
void display_flow_rate(T in, T out) {
glMatrixMode(GL_PROJECTION); // set up the 2d viewport for mode text printing
glPushMatrix();
glLoadIdentity();
int X = glutGet(GLUT_WINDOW_WIDTH); // get the current window width
int Y = glutGet(GLUT_WINDOW_HEIGHT); // get the current window height
glViewport(0, 0, X, Y); // locate to left bottom corner
gluOrtho2D(0, X, 0, Y); // define othogonal aspect
glColor3f(0.8f, 0.0f, 0.0f); // using red to show mode
glMatrixMode(GL_MODELVIEW);
glPushMatrix();
glLoadIdentity();
glRasterPos2f(X / 2, 5); // hard coded position!!!!!
std::stringstream ss_p;
ss_p << "Q = "; // Q = * um^3/s
ss_p << in;
ss_p << " ";
ss_p << units;
ss_p << "^3/s";
glutBitmapString(GLUT_BITMAP_TIMES_ROMAN_24, (const unsigned char*)(ss_p.str().c_str()));
glPopMatrix();
glMatrixMode(GL_PROJECTION);
glPopMatrix();
}
|
9191c39e
Jiaming Guo
first version of ...
|
1166
|
// draw the bridge as lines
|
f4105b89
Jiaming Guo
add new function:...
|
1167
1168
1169
1170
1171
|
void line_bridge(bool &redisplay) {
if (redisplay)
glDeleteLists(dlist, 1);
redisplay = false;
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1172
1173
1174
1175
|
if (!glIsList(dlist)) {
dlist = glGenLists(1);
glNewList(dlist, GL_COMPILE);
|
f4105b89
Jiaming Guo
add new function:...
|
1176
|
|
8deac51f
Jiaming Guo
fixed minor bugs ...
|
1177
|
glLineWidth(5);
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1178
|
for (unsigned i = 0; i < inlet.size(); i++) {
|
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if (inlet_feasibility[i])
glColor3f(0.0f, 0.0f, 0.0f); // feasible -> black
else
glColor3f(1.0f, 0.0f, 0.0f); // nonfeasible -> red
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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++) {
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if (outlet_feasibility[i])
glColor3f(0.0f, 0.0f, 0.0f); // feasible -> black
else
glColor3f(1.0f, 0.0f, 0.0f); // nonfeasible -> red
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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();
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}
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glCallList(dlist);
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}
// draw the bridge as tubes
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void tube_bridge(T subdivision, T radius = 5.0f) {
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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;
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glColor3f(0.0f, 0.0f, 0.0f);
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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]);
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glutSolidSphere(radius, subdivision, subdivision);
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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();
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}
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}
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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]);
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glutSolidSphere(radius, subdivision, subdivision);
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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();
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}
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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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|
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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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|
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void set_main_feeder(T border = 100.0f) {
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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]);
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main_feeder.push_back(inlet_main_feeder); // 0->inlet, 1->outlet
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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
|
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void build_synthetic_connection(T viscosity, T radius = 5.0f) {
|
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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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Jiaming Guo
change bus size
|
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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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change bus size
|
1579
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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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1596
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for (unsigned i = 0; i < output.size(); i++) {
tmp_v = V[output[i].first];
|
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dx = 30.0f * ((U[0] - tmp_v[0]) / box_length); // the socket position depends on proximity
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1600
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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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// pre-set fragments
if (ratio) {
T tmp_d, tmp_l; // back ups
tmp_d = desire_l;
tmp_l = origin_l;
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);
width = (T)origin_l / (2 * n); // updates
height = (desire_l - origin_l) / (2 * n);
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// there are cases that the fragment can not satisfy the requirement for width
if (width < times * radius || n == 0) { // check feasibility
|
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ratio = 0.0f; // load
desire_l = tmp_d;
origin_l = tmp_l;
std::cout << "Warning: current ratio is not feasible, use full original line." << std::endl;
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n = find_number_square(origin_l, desire_l);
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|
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width = (T)origin_l / (2 * n); // updates
height = (desire_l - origin_l) / (2 * n);
|
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}
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|
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|
}
// check whether it needs 3D square-wave-like connections
if (height > threshold) { // enbale 3D connections
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2); // compute new height in 3D structure
while (height > threshold) { // increase order to decrease height
|
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|
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n++;
width = (T)(origin_l) / (2 * n);
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
|
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|
1692
|
// check whether it appears overlap, if it appears we choose last time height even if it is larger than threshold
|
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|
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|
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;
}
}
|
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|
1700
1701
|
// check overlap in terms of height, has potential risk when both height and width are less than times * radius.
|
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|
1702
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|
while (height < times * radius) {
n--;
width = (T)(origin_l) / (2 * n);
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
}
|
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|
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|
// degenerated case
if (n == 0) {
n = 1;
width = (T)(origin_l) / (2 * n);
height = (desire_l - (1 + 2 * n) * origin_l) / std::pow(2 * n, 2);
}
|
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|
1715
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|
// 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);
|
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|
1737
|
// "up"
|
8334680a
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|
1738
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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);
}
// "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++) {
|
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Jiaming Guo
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|
1759
|
// in
|
8334680a
Jiaming Guo
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|
1760
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1764
|
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);
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1765
|
// get the bounding box edge
|
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|
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1767
|
if (j == n - 1 && k == 0) // first time go "in"
tmp_bb.second = tmp_v;
|
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|
1768
|
// "down"
|
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|
1769
1770
1771
1772
1773
|
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);
|
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Jiaming Guo
add adjustment fe...
|
1774
|
// out
|
8334680a
Jiaming Guo
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|
1775
1776
1777
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1779
|
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);
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1780
|
// "down"
|
8334680a
Jiaming Guo
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|
1781
1782
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1800
|
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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Jiaming Guo
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|
1801
|
if (ratio > 0.0f && ratio < 1.0f) {
|
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|
1802
1803
1804
1805
1806
1807
|
if (feeder == 1)
inlet[i].V.push_back(cor_v);
else if (feeder == 0)
outlet[i].V.push_back(cor_v);
}
}
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1808
|
// use 2D square-wave-like connections
|
8334680a
Jiaming Guo
add square wave c...
|
1809
|
else {
|
70c0b942
Jiaming Guo
fixed bug when he...
|
1810
1811
1812
1813
|
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);
|
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Jiaming Guo
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|
1814
|
if (n == 0) // degenerated case
|
70c0b942
Jiaming Guo
fixed bug when he...
|
1815
1816
1817
1818
|
n = 1;
height = need_l / (2 * n);
width = origin_l / (2 * n);
}
|
8334680a
Jiaming Guo
add square wave c...
|
1819
1820
|
for (int j = 0; j < n; j++) {
|
f4105b89
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|
1821
|
// up
|
8334680a
Jiaming Guo
add square wave c...
|
1822
1823
1824
1825
1826
1827
|
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);
|
f4105b89
Jiaming Guo
add new function:...
|
1828
|
// left
|
8334680a
Jiaming Guo
add square wave c...
|
1829
1830
1831
1832
1833
|
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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|
1834
1835
|
if (j == n - 1)
tmp_bb.second = tmp_v;
|
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|
1836
|
|
f4105b89
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|
1837
|
// down
|
8334680a
Jiaming Guo
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|
1838
1839
1840
1841
1842
1843
|
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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add new function:...
|
1844
|
// left
|
8334680a
Jiaming Guo
add square wave c...
|
1845
1846
1847
1848
1849
1850
|
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);
}
|
b61addd8
Jiaming Guo
add adjustment fe...
|
1851
1852
1853
1854
1855
1856
1857
|
// if use fragment to do square wave connection, need to push_back the corner vertex
if (ratio > 0.0f && ratio < 1.0f) {
if (feeder == 1)
inlet[i].V.push_back(cor_v);
else if (feeder == 0)
outlet[i].V.push_back(cor_v);
}
|
8334680a
Jiaming Guo
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|
1858
|
}
|
f4105b89
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add new function:...
|
1859
1860
1861
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|
if (feeder == 1)
inbb[i] = tmp_bb;
else if (feeder == 0)
outbb[i] = tmp_bb;
|
8334680a
Jiaming Guo
add square wave c...
|
1863
1864
|
}
|
9191c39e
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first version of ...
|
1865
|
// automatically modify bridge to make it feasible
|
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add adjustment fe...
|
1866
|
void modify_synthetic_connection(T viscosity, T rou, bool H, T threshold, T &in, T &out, T ratio = 0.0f, T radius = 5.0f) {
|
9b69bb4c
Jiaming Guo
add diplay list t...
|
1867
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1869
|
glDeleteLists(dlist, 1); // delete display list for modify
glDeleteLists(dlist + 1, 1);
|
f4105b89
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|
1870
|
|
8334680a
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|
1871
|
// because of radius change at the port vertex, there will be a pressure drop at that port
|
9191c39e
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|
1872
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1874
1875
1876
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1878
1879
|
// 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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|
1880
|
T ar = get_radius(idx) / radius;
|
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|
1881
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1883
1884
1885
1886
1887
1888
1889
|
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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|
1890
|
tmp_p = new_pressure[inlet[i].v[0]] + ((8 * viscosity * inlet[i].l * inlet[i].Q) / ((float)stim::PI * std::pow(radius, 4)));
|
9191c39e
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|
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|
if (tmp_p > source_pressure) {
source_pressure = tmp_p;
inlet_index = i;
}
}
|
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|
1896
|
Ps = source_pressure;
|
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|
1897
|
|
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|
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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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|
1908
|
Pe = end_pressure;
|
9191c39e
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first version of ...
|
1909
|
|
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|
1910
1911
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1917
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1919
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1921
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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);
|
9191c39e
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first version of ...
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1922
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8334680a
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1923
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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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1949
1950
|
inlet[i].V.push_back(bus_v);
}
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1951
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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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|
1954
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1955
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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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|
1960
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1961
1962
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1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
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1987
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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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|
2001
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|
2002
2003
2004
2005
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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
|
2006
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|
2007
2008
2009
2010
2011
2012
2013
2014
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if (outlet[i].V[2][1] > main_feeder[1][1]) {
upper = true;
invert = true;
}
else {
upper = false;
invert = false;
}
|
6765b32b
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add hilbert curve
|
2015
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|
8334680a
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|
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
|
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
|
6765b32b
Jiaming Guo
add hilbert curve
|
2038
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|
8334680a
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|
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
|
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);
}
|
6765b32b
Jiaming Guo
add hilbert curve
|
2081
|
}
|
8334680a
Jiaming Guo
add square wave c...
|
2082
|
std::reverse(outlet[i].V.begin(), outlet[i].V.end());
|
6765b32b
Jiaming Guo
add hilbert curve
|
2083
|
}
|
9191c39e
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first version of ...
|
2084
2085
|
}
}
|
8334680a
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|
2086
2087
2088
|
// automatically modify inlet bridge using square shape constructions
else {
bool upper; // flag indicates the connection is upper than the bus
|
f4105b89
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add new function:...
|
2089
|
bool z; // flag indicates the connection direction along z-axis
|
8334680a
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|
2090
2091
2092
2093
2094
2095
|
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
|
f4105b89
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add new function:...
|
2096
2097
|
inbb.resize(inlet.size()); // resize bounding box of inlets/outlets connections
outbb.resize(outlet.size());
|
9191c39e
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first version of ...
|
2098
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8334680a
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|
2099
2100
2101
|
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
|
9191c39e
Jiaming Guo
first version of ...
|
2102
|
|
8334680a
Jiaming Guo
add square wave c...
|
2103
2104
|
bus_v = inlet[i].V[0];
mid_v = inlet[i].V[1];
|
70c0b942
Jiaming Guo
fixed bug when he...
|
2105
|
tmp_v = inlet[i].V[2]; // not always pendant vertex
|
6765b32b
Jiaming Guo
add hilbert curve
|
2106
|
|
8334680a
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|
2107
2108
2109
2110
|
if (inlet[i].V[2][1] > main_feeder[0][1]) // check out upper side of lower side
upper = true;
else
upper = false;
|
9191c39e
Jiaming Guo
first version of ...
|
2111
|
|
8334680a
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|
2112
2113
2114
2115
2116
2117
2118
|
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();
|
70c0b942
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fixed bug when he...
|
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
|
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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8334680a
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add square wave c...
|
2130
2131
2132
2133
2134
2135
2136
|
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);
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2137
|
build_square_connection(i, width, height, origin_l, desire_l, n, 1, threshold, z, true, upper, 5, ratio);
|
8334680a
Jiaming Guo
add square wave c...
|
2138
2139
2140
|
inlet[i].V.push_back(bus_v);
std::reverse(inlet[i].V.begin(), inlet[i].V.end()); // from bus to pendant vertex
|
6765b32b
Jiaming Guo
add hilbert curve
|
2141
|
}
|
f4105b89
Jiaming Guo
add new function:...
|
2142
2143
2144
2145
|
else {
inbb[i].first = inlet[i].V[2];
inbb[i].second = inlet[i].V[1];
}
|
8334680a
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add square wave c...
|
2146
2147
2148
2149
2150
|
}
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
|
6765b32b
Jiaming Guo
add hilbert curve
|
2151
|
|
8334680a
Jiaming Guo
add square wave c...
|
2152
2153
2154
|
bus_v = outlet[i].V[0];
mid_v = outlet[i].V[1];
tmp_v = outlet[i].V[2];
|
6765b32b
Jiaming Guo
add hilbert curve
|
2155
|
|
8334680a
Jiaming Guo
add square wave c...
|
2156
2157
2158
2159
|
if (outlet[i].V[2][1] > main_feeder[1][1]) // check out upper side of lower side
upper = true;
else
upper = false;
|
6765b32b
Jiaming Guo
add hilbert curve
|
2160
|
|
8334680a
Jiaming Guo
add square wave c...
|
2161
2162
2163
2164
|
if (outlet[i].V[2][2] > main_feeder[1][2])
z = true;
else
z = false;
|
6765b32b
Jiaming Guo
add hilbert curve
|
2165
|
|
8334680a
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add square wave c...
|
2166
2167
|
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();
|
70c0b942
Jiaming Guo
fixed bug when he...
|
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
|
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);
}
|
8334680a
Jiaming Guo
add square wave c...
|
2179
|
outlet[i].l = new_l;
|
6765b32b
Jiaming Guo
add hilbert curve
|
2180
|
|
8334680a
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add square wave c...
|
2181
|
n = find_number_square(origin_l, desire_l);
|
6765b32b
Jiaming Guo
add hilbert curve
|
2182
|
|
8334680a
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add square wave c...
|
2183
2184
2185
|
width = (T)origin_l / (2 * n);
height = (desire_l - origin_l) / (2 * n);
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2186
|
build_square_connection(i, width, height, origin_l, desire_l, n, 0, threshold, z, false, upper, 5, ratio);
|
8334680a
Jiaming Guo
add square wave c...
|
2187
2188
2189
|
outlet[i].V.push_back(bus_v);
std::reverse(outlet[i].V.begin(), outlet[i].V.end()); // from bus to pendant vertex
|
6765b32b
Jiaming Guo
add hilbert curve
|
2190
|
}
|
f4105b89
Jiaming Guo
add new function:...
|
2191
2192
2193
2194
|
else {
outbb[i].first = outlet[i].V[2];
outbb[i].second = outlet[i].V[1];
}
|
9191c39e
Jiaming Guo
first version of ...
|
2195
2196
|
}
}
|
f4105b89
Jiaming Guo
add new function:...
|
2197
|
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2198
2199
2200
2201
2202
2203
2204
|
// save in-/out- volume flow rate
in = out = 0.0f;
for (unsigned i = 0; i < inlet.size(); i++)
in += inlet[i].Q;
for (unsigned i = 0; i < outlet.size(); i++)
out += outlet[i].Q;
|
f4105b89
Jiaming Guo
add new function:...
|
2205
|
check_special_connection(); // check special connections
|
9191c39e
Jiaming Guo
first version of ...
|
2206
2207
|
}
|
f4105b89
Jiaming Guo
add new function:...
|
2208
2209
2210
|
/// check current connections to find overlapping
// phase 1 check -> direct connection intersection
void check_direct_connection() {
|
9191c39e
Jiaming Guo
first version of ...
|
2211
|
|
f4105b89
Jiaming Guo
add new function:...
|
2212
2213
|
unsigned num;
// check inlet
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2214
2215
|
num = inlet.size(); // get the number of inlets
inlet_feasibility.resize(num, true); // initialization
|
f4105b89
Jiaming Guo
add new function:...
|
2216
2217
2218
|
for (unsigned i = 0; i < num; i++) {
for (unsigned j = 0; j < num; j++) {
if (i != j) {
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2219
2220
|
if (inlet[i].V[0][1] == inlet[j].V[0][1]) {
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][1] - main_feeder[0][1]) * (inlet[j].V[1][1] - main_feeder[0][1])) > 0 ? 1 : 0)) {
|
f4105b89
Jiaming Guo
add new function:...
|
2221
2222
2223
|
inlet_feasibility[i] = false;
break;
}
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2224
2225
|
else
inlet_feasibility[i] = true;
|
f4105b89
Jiaming Guo
add new function:...
|
2226
|
}
|
f4105b89
Jiaming Guo
add new function:...
|
2227
|
}
|
9191c39e
Jiaming Guo
first version of ...
|
2228
2229
|
}
}
|
f4105b89
Jiaming Guo
add new function:...
|
2230
2231
2232
2233
2234
2235
2236
|
// 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]) {
|
b61addd8
Jiaming Guo
add adjustment fe...
|
2237
|
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][1] - main_feeder[1][1]) * (outlet[j].V[1][1] - main_feeder[1][1])) > 0 ? 1 : 0)) {
|
f4105b89
Jiaming Guo
add new function:...
|
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
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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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}
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// clear up inlets/outlets connection bounding box
inbb.clear();
outbb.clear();
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}
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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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/// adjustment in order to match microfluidics experiments
void adjust(T in, T out, T &Rt, T nQ, T viscosity, T radius = 5.0f) {
// compute total resistance
Rt = (Ps - Pe) / in;
Pe = 0.0f;
Ps = Rt * nQ;
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// adjust synthetic connections velocity flow rate. (linear scale)
T k = nQ / in; // linear factor
for (unsigned i = 0; i < inlet.size(); i++) {
inlet[i].Q *= k;
input[i].third *= k;
}
for (unsigned i = 0; i < outlet.size(); i++) {
outlet[i].Q *= k;
output[i].third *= k;
}
/// simulate inner network flow
// clear up initialized pressure
P.resize(num_vertex);
for (unsigned i = 0; i < pendant_vertex.size(); i++) {
unsigned index = UINT_MAX;
for (unsigned j = 0; j < inlet.size(); j++) {
if (inlet[j].v[0] == pendant_vertex[i]) {
index = j;
break;
}
}
if (index != UINT_MAX) {
P[inlet[index].v[0]] = Ps - ((T)8 * viscosity * inlet[index].l * inlet[index].Q / (stim::PI * std::pow(radius, 4)));
}
}
for (unsigned i = 0; i < pendant_vertex.size(); i++) {
unsigned index = UINT_MAX;
for (unsigned j = 0; j < outlet.size(); j++) {
if (outlet[j].v[0] == pendant_vertex[i]) {
index = j;
break;
}
}
if (index != UINT_MAX) {
P[outlet[index].v[0]] = Pe + ((T)8 * viscosity * outlet[index].l * outlet[index].Q / (stim::PI * std::pow(radius, 4)));
}
}
// clear up previous simulation except synthetic connection parts
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;
}
}
// re-simulation
solve_flow(viscosity);
}
/// make full-synthetic binary image stack
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// prepare for image stack
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void preparation(T &Xl, T &Xr, T &Yt, T &Yb, T &Z, bool prototype = false, T length = 40.0f, T height = 10.0f, T radius = 5.0f) {
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T max_radius = 0.0f;
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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
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if (!prototype) {
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);
}
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}
}
}
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// secondly push back outside connection
for (unsigned i = 0; i < inlet.size(); i++) {
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for (unsigned j = 1; j < inlet[i].V.size() - 1; j++) {
new_sphere.c = inlet[i].V[j];
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new_sphere.r = inlet[i].r;
A.push_back(new_sphere);
}
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}
for (unsigned i = 0; i < outlet.size(); i++) {
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for (unsigned j = 1; j < outlet[i].V.size() - 1; j++) {
new_sphere.c = outlet[i].V[j];
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new_sphere.r = outlet[i].r;
A.push_back(new_sphere);
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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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if (A[i].r > max_radius)
max_radius = A[i].r;
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}
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Yt = top + 2 * radius; // top bound y coordinate
Yb = bottom + 2 * radius; // bottom bound y coordinate
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Z = (bb.B[2] - bb.A[2] + 2 * max_radius); // bounding box width(along z-axis)
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}
/// making image stack main function
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|
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void make_image_stack(stim::image_stack<unsigned char, T> I, T dx, T dy, T dz, std::string stackdir, bool prototype = false, T radius = 5.0f) {
|
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/// preparation for making image stack
T X, Xl, Xr, Y, Yt, Yb, Z;
|
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|
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|
preparation(Xl, Xr, Yt, Yb, Z, prototype);
|
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X = Xr - Xl; // bounding box length(along x-axis)
Y = Yt - Yb; // bounding box height(along y-axis)
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stim::vec3<T> center = bb.center(); // get the center of bounding box
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|
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|
T size_x, size_y, size_z;
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|
if (!prototype) {
/// make
stim::image_stack<unsigned char, T> I;
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);
}
else {
size_x = I.nx();
size_y = I.ny();
size_z = I.nz();
}
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|
// 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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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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// 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)));
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if (prototype) // load prototype image stack if provided
HANDLE_ERROR(cudaMemcpy(d_ptr, &I.data()[i * num], num * sizeof(unsigned char), cudaMemcpyHostToDevice));
|
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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");
}
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|
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|
/// save network flow profile
void save_network() {
// save the pressure information to CSV file
std::string p_filename = "profile/pressure.csv";
std::ofstream p_file;
p_file.open(p_filename.c_str());
p_file << "Vertex, Pressure(g/" << units << "/s^2)" << std::endl;
for (unsigned i = 0; i < num_vertex; i++)
p_file << i << "," << pressure[i] << std::endl;
p_file.close();
// save the flow information to CSV file
std::string f_filename = "profile/flow_rate.csv";
std::ofstream f_file;
f_file.open(f_filename.c_str());
f_file << "Edge, Volume flow rate(" << units << "^3/s)" << std::endl;
for (unsigned i = 0; i < num_edge; i++)
f_file << Q[i].first << "->" << Q[i].second << "," << Q[i].third << std::endl;
f_file.close();
}
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/// 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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