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-rw-r--r--src/bound_set.c62
1 files changed, 62 insertions, 0 deletions
diff --git a/src/bound_set.c b/src/bound_set.c
new file mode 100644
index 0000000..9c67f82
--- /dev/null
+++ b/src/bound_set.c
@@ -0,0 +1,62 @@
+
+#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, uint_t L, double notch_len) {
+ 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[i] = u_y(x1, y1);
+ bound[L / 2 + i] = u_y(x2, y2);
+ bound[L + i] = u_y(x3, y3);
+ bound[3 * L / 2 + 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->L, 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;
+}