| [1d30ffb] | 1 | #include<stdio.h>
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| 2 | #include <math.h>
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| 3 | #include <stdlib.h>
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| 4 |
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| 5 | #define SPEED 1
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| 6 | #define DEFAULT_BORDER_LOCATION -1
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| 7 | #define DEFAULT_BORDER_DISTANCE 100000
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| 8 | #define DEFAULT_INTERIOR_DISTANCE 90000
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| 9 | #define max(a, b) ((a > b) ? a : b)
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| 10 | #define min(a, b) ((a < b) ? a : b)
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| 11 |
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| 12 | struct phi_type {
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| 13 | int x, y, z;
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| 14 | double dx, dy, dz, F;
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| 15 | int *location;
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| 16 | double *distance;
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| 17 | };
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| 18 |
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| 19 | typedef struct phi_type Phi;
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| 20 | int max_x, max_xy;
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| 21 |
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| 22 | int main() {
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| 23 |
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| 24 | void create_phi_function(Phi *);
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| 25 | void destroy_phi_function(Phi *);
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| 26 | void update_distance(Phi *, int);
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| 27 | void set_distance_negative_inside(Phi *, int);
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| 28 | void adjust_boundary(Phi *);
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| 29 | void run_fsm(Phi *, int);
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| 30 | void calc_dist_field(Phi *);
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| 31 | void fast_sweep(Phi *);
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| 32 | double solveEikonal(Phi *, int);
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| 33 |
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| 34 |
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| 35 | Phi *pf = (Phi *)malloc(sizeof(Phi));
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| 36 | if (!pf) {
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| 37 | printf("Error allocation memory for the phi function.\n");
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| 38 | exit(1);
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| 39 | }
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| 40 |
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| 41 | create_phi_function(pf);
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| 42 |
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| 43 | // print dimensions
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| 44 | printf("Dimensions:\n");
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| 45 | printf("x: %d\tdx: %f\n", pf->x, pf->dx);
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| 46 | printf("y: %d\tdy: %f\n", pf->y, pf->dy);
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| 47 | printf("z: %d\tdz: %f\n", pf->z, pf->dz);
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| 48 |
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| 49 | // print size
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| 50 | printf("Size:\n");
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| 51 | printf("x: %d\tdx: %f\n", pf->x, pf->dx);
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| 52 | printf("y: %d\tdy: %f\n", pf->y, pf->dy);
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| 53 | printf("z: %d\tdz: %f\n", pf->z, pf->dz);
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| 54 |
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| 55 | calc_dist_field(pf);
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| 56 |
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| 57 | destroy_phi_function(pf);
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| 58 |
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| 59 | free(pf);
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| 60 |
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| 61 |
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| 62 | return 0;
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| 63 |
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| 64 | }
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| 65 |
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| 66 |
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| 67 | void create_phi_function(Phi *pf) {
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| 68 |
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| 69 | // initialize fields for the phi function
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| 70 | pf->x = 255;
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| 71 | pf->dx = 4.0;
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| 72 | pf->y = 191;
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| 73 | pf->dy = 4.0;
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| 74 | pf->z = 127;
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| 75 | pf->dz = 1.0;
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| 76 | pf->F = 1.0;
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| 77 | printf("%lf",pf->F);
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| 78 | printf("***");
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| 79 | // allocate memory for location and distance arrays
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| 80 | int totalNodes = (pf->x + 2) * (pf->y + 2) * (pf->z + 2);
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| 81 | pf->location = (int *)malloc(sizeof(int) * totalNodes);
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| 82 | pf->distance = (double *)malloc(sizeof(double) * totalNodes);
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| 83 |
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| 84 | }
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| 85 |
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| 86 | void destroy_phi_function(Phi *pf) {
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| 87 | free(pf->location);
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| 88 | free(pf->distance);
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| 89 | }
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| 90 | void update_distance(Phi *pf, int totalNodes) {
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| 91 |
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| 92 | int *l = &pf->location[0];
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| 93 | double *d = &pf->distance[0];
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| 94 |
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| 95 | int i;
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| 96 | for (i = 0; i < totalNodes; i++) {
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| 97 | if (*l != DEFAULT_BORDER_LOCATION && *d != DEFAULT_BORDER_DISTANCE) {
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| 98 | //*d = (*l == 1 && *d == DEFAULT_BORDER_DISTANCE)
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| 99 | // ? -1
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| 100 | // : (*d > 0.0 || *d < 0.0) ? *d : DEFAULT_INTERIOR_DISTANCE;
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| 101 | *d = (*d > 0.0 || *d < 0.0) ? *d : DEFAULT_INTERIOR_DISTANCE;
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| 102 |
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| 103 |
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| 104 |
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| 105 | }
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| 106 | l++;
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| 107 | d++;
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| 108 | }
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| 109 | }
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| 110 |
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| 111 | void set_distance_negative_inside(Phi *pf, int totalNodes) {
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| 112 |
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| 113 | int *l = &pf->location[0];
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| 114 | double *d = &pf->distance[0];
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| 115 |
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| 116 |
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| 117 | int i;
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| 118 | for (i = 0; i < totalNodes; i++) {
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| 119 | if (*l != DEFAULT_BORDER_LOCATION && *d != DEFAULT_BORDER_DISTANCE) {
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| 120 | if (*l == 1) {
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| 121 | *d = -1;
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| 122 | }
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| 123 | }
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| 124 | l++;
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| 125 | d++;
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| 126 | }
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| 127 | }
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| 128 |
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| 129 | void adjust_boundary(Phi *pf) {
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| 130 |
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| 131 | int x, y, z, i, j, k, xy;
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| 132 | x = pf->x + 2;
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| 133 | y = pf->y + 2;
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| 134 | z = pf->z + 2;
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| 135 | xy = x * y;
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| 136 |
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| 137 | for (i = 0; i < z; i++) {
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| 138 | for (j = 0; j < y; j++) {
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| 139 | for (k = 0; k < x; k++) {
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| 140 | int I = i, J = j, K = k;
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| 141 | I = (i == z - 1) ? I - 1 : (!i) ? I + 1 : I;
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| 142 | J = (j == y - 1) ? J - 1 : (!j) ? J + 1 : J;
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| 143 | K = (k == x - 1) ? K - 1 : (!k) ? K + 1 : K;
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| 144 | if (i != I || j != J || k != K) {
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| 145 | pf->distance[i * xy + j * x + k] = pf->distance[I * xy + J * x + K];
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| 146 | }
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| 147 | }
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| 148 | }
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| 149 | }
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| 150 | }
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| 151 |
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| 152 | double solveEikonal(Phi *pf, int index) {
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| 153 |
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| 154 | double dist_new = 0;
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| 155 | double dist_old = pf->distance[index];
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| 156 |
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| 157 | double dx = pf->dx, dy = pf->dy, dz = pf->dz;
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| 158 | double minX = min(pf->distance[index - 1], pf->distance[index + 1]);
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| 159 | double minY =
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| 160 | min(pf->distance[abs(index - max_x)], pf->distance[abs(index + max_x)]);
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| 161 | double minZ =
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| 162 | min(pf->distance[abs(index - max_xy)], pf->distance[abs(index + max_xy)]);
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| 163 | if(dx!= 4.000000 ||dy!=4.000000 || dz != 1.000000){
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| 164 | printf("%lf",dx);
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| 165 | printf(",");
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| 166 | printf("%lf",dy);
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| 167 | printf(",");
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| 168 | printf("%lf",dz);
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| 169 | printf(" ");
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| 170 | }
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| 171 |
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| 172 | double m[] = { minX, minY, minZ };
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| 173 | double d[] = { dx, dy, dz };
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| 174 |
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| 175 |
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| 176 | // sort the mins
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| 177 | int i, j;
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| 178 | double tmp_m, tmp_d;
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| 179 | for (i = 1; i < 3; i++) {
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| 180 | for (j = 0; j < 3 - i; j++) {
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| 181 |
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| 182 | if (m[j] > m[j + 1]) {
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| 183 | tmp_m = m[j];
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| 184 | tmp_d = d[j];
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| 185 | m[j] = m[j + 1];
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| 186 | d[j] = d[j + 1];
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| 187 | m[j + 1] = tmp_m;
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| 188 | d[j + 1] = tmp_d;
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| 189 | }
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| 190 | }
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| 191 |
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| 192 | }
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| 193 |
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| 194 | // simplifying the variables
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| 195 | double m_0 = m[0], m_1 = m[1], m_2 = m[2];
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| 196 | double d_0 = d[0], d_1 = d[1], d_2 = d[2];
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| 197 | double m2_0 = m_0 * m_0, m2_1 = m_1 * m_1, m2_2 = m_2 * m_2;
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| 198 | double d2_0 = d_0 * d_0, d2_1 = d_1 * d_1, d2_2 = d_2 * d_2;
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| 199 |
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| 200 | if(d2_0==0 || d2_1 ==0)
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| 201 | {
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| 202 | printf("%lf",d2_0);
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| 203 | printf(",");
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| 204 | printf("%lf",d2_1);
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| 205 | }
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| 206 | dist_new = m_0 + d_0;
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| 207 | if (dist_new > m_1) {
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| 208 |
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| 209 | double s = sqrt(-m2_0 + 2 * m_0 * m_1 - m2_1 + d2_0 + d2_1);
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| 210 | dist_new = (m_1 * d2_0 + m_0 * d2_1 + d_0 * d_1 * s) / (d2_0 + d2_1);
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| 211 |
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| 212 | if (dist_new > m_2) {
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| 213 |
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| 214 | double a =
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| 215 | sqrt(-m2_0 * d2_1 - m2_0 * d2_2 + 2 * m_0 * m_1 * d2_2 - m2_1 * d2_0 -
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| 216 | m2_1 * d2_2 + 2 * m_0 * m_2 * d2_1 - m2_2 * d2_0 - m2_2 * d2_1 +
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| 217 | 2 * m_1 * m_2 * d2_0 + d2_0 * d2_1 + d2_0 * d2_2 + d2_1 * d2_2);
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| 218 |
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| 219 | dist_new = (m_2 * d2_0 * d2_1 + m_1 * d2_0 * d2_2 + m_0 * d2_1 * d2_2 +
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| 220 | d_0 * d_1 * d_2 * a) /
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| 221 | (d2_0 * d2_1 + d2_0 * d2_2 + d2_1 * d2_2);
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| 222 | }
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| 223 | }
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| 224 |
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| 225 |
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| 226 |
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| 227 |
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| 228 | return min(dist_old, dist_new);
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| 229 | }
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| 230 |
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| 231 |
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| 232 | void fast_sweep(Phi *pf) {
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| 233 |
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| 234 | int s, i, j, k, index;
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| 235 | // specifies the sweeping directions
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| 236 |
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| 237 | int sweeps[8][3] = { { 1, 1, 1 },
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| 238 | { 0, 1, 0 },
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| 239 | { 0, 1, 1 },
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| 240 | { 1, 1, 0 },
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| 241 | { 0, 0, 0 },
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| 242 | { 1, 0, 1 },
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| 243 | { 1, 0, 0 },
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| 244 | { 0, 0, 1 } };
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| 245 |
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| 246 | printf("Please wait sweeping.....\n");
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| 247 | for (s = 0; s < 8; ++s) {
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| 248 | // printf("Fast Sweeping start..... [%d/%d]\n", s, 7);
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| 249 |
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| 250 | int iStart = (sweeps[s][0]) ? 1 : pf->z;
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| 251 | int iEnd = (sweeps[s][0]) ? pf->z + 1 : 0;
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| 252 |
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| 253 | int jStart = (sweeps[s][1]) ? 1 : pf->y;
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| 254 | int jEnd = (sweeps[s][1]) ? pf->y + 1 : 0;
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| 255 |
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| 256 | int kStart = (sweeps[s][2]) ? 1 : pf->x;
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| 257 | int kEnd = (sweeps[s][2]) ? pf->x + 1 : 0;
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| 258 |
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| 259 | for (i = iStart; i != iEnd; i = (sweeps[s][0]) ? i + 1 : i - 1) {
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| 260 | for (j = jStart; j != jEnd; j = (sweeps[s][1]) ? j + 1 : j - 1) {
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| 261 | for (k = kStart; k != kEnd; k = (sweeps[s][2]) ? k + 1 : k - 1) {
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| 262 | index = i * max_xy + j * max_x + k;
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| 263 |
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| 264 | //printf("%d",solveEikonal(pf,index));
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| 265 | pf->distance[index] = solveEikonal(pf, index);
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| 266 | //printf("%lf",pf->distance[index]);
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| 267 | //printf(",");
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| 268 | //printf(" ");
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| 269 |
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| 270 |
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| 271 |
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| 272 | }
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| 273 | }
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| 274 |
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| 275 | }
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| 276 | }
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| 277 |
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| 278 |
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| 279 | printf("Sweeping completed.......\n");
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| 280 | }
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| 281 |
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| 282 |
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| 283 | void run_fsm(Phi *pf, int iterations) {
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| 284 |
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| 285 | max_x = pf->x + 2;
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| 286 | max_xy = max_x * (pf->y + 2);
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| 287 |
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| 288 | double start, finish; // for timing
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| 289 | int itr = 0;
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| 290 | while (itr++ < iterations) {
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| 291 |
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| 292 | // GET_TIME(start);
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| 293 |
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| 294 | fast_sweep(pf);
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| 295 |
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| 296 | // GET_TIME(finish);
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| 297 | //printf("Serial FSM time: %f s.\n", finish - start);
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| 298 | }
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| 299 | }
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| 300 |
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| 301 |
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| 302 | void calc_dist_field(Phi *pf) {
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| 303 |
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| 304 | // get the total number of nodes
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| 305 | // in the grid
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| 306 | int totalNodes = (pf->x + 2) * (pf->y + 2) * (pf->z + 2);
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| 307 |
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| 308 | // update the distance values
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| 309 | update_distance(pf, totalNodes);
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| 310 |
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| 311 | // use the fast sweeping method
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| 312 | // to get the solution for the Eikonal Equation
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| 313 | int itr = 1;
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| 314 | run_fsm(pf, itr);
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| 315 |
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| 316 | // set the distance values to negative
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| 317 | // for inside region
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| 318 | set_distance_negative_inside(pf, totalNodes);
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| 319 |
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| 320 | adjust_boundary(pf);
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| 321 | }
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| 322 |
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| 323 |
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| 324 |
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| 325 |
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| 326 |
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| 327 |
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