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#include "fracture.h"
double th_p(double x, double y, double th) {
if (x >= 0 && y >= 0) return th;
else if (x < 0 && y >= 0) return M_PI - th;
else if (x < 0 && y < 0) return th - M_PI;
else return -th;
}
double u_y(double x, double y) {
double r = sqrt(pow(x, 2) + pow(y, 2));
double th = th_p(x, y, atan(fabs(y / x)));
return sqrt(r) * sin(th / 2);
}
void bound_set_embedded(double *bound, const graph_t *g, double notch_len) {
uint_t L = g->L;
for (uint_t i = 0; i < L / 2; i++) {
double x1, y1, x2, y2, x3, y3, x4, y4;
x1 = (2. * i + 1.) / L - notch_len; y1 = 0.5 - 1.;
x2 = (2. * i + 1.) / L - notch_len; y2 = 0.5 - 0.;
y3 = (2. * i + 1.) / L - 0.5; x3 = 0.5 - 1.;
y4 = (2. * i + 1.) / L - 0.5; x4 = 0.5 - 0.;
bound[g->bound_verts[g->bound_inds[0] + i]] = u_y(x1, y1);
bound[g->bound_verts[g->bound_inds[1] + i]] = u_y(x2, y2);
bound[g->bound_verts[g->bound_inds[2] + i]] = u_y(x3, y3);
bound[g->bound_verts[g->bound_inds[3] + i]] = u_y(x4, y4);
}
}
cholmod_dense *bound_set(const graph_t *g, bool vb, double notch_len, cholmod_common *c) {
cholmod_dense *boundary = CHOL_F(zeros)(g->break_dim, 1, CHOLMOD_REAL, c);
double *bound = (double *)boundary->x;
switch (g->boundary) {
case TORUS_BOUND:
for (uint_t i = 0; i < g->bound_inds[1]; i++) {
bound[g->bound_verts[i]] = 1;
bound[g->nv + i] = -1;
}
bound[g->bound_verts[0]] = 1;
break;
case EMBEDDED_BOUND:
bound_set_embedded(bound, g, notch_len);
break;
default:
if (vb) {
for (uint_t i = 0; i < g->bound_inds[1]; i++) {
bound[g->bound_verts[i]] = 1;
}
} else {
bound[0] = 1;
bound[g->nv] = 1;
bound[g->nv + 1] = -1;
}
}
return boundary;
}
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