1 files changed, 95 insertions, 0 deletions
diff --git a/lib/orthogonal.c b/lib/orthogonal.c
new file mode 100644
index 0000000..7e0a71b
--- /dev/null
+++ b/lib/orthogonal.c
@@ -0,0 +1,95 @@
+
+#include "orthogonal.h"
+
+void vector_replace(q_t n, double *v1, const double *v2) {
+  for (q_t i = 0; i < n; i++) {
+    v1[i] = v2[i];
+  }
+}
+
+void vector_add(q_t n, double *v1, const double *v2) {
+  for (q_t i = 0; i < n; i++) {
+    v1[i] += v2[i];
+  }
+}
+
+void vector_subtract(q_t n, double *v1, const double *v2) {
+  for (q_t i = 0; i < n; i++) {
+    v1[i] -= v2[i];
+  }
+}
+
+double *vector_rotate(q_t n, double *rot, double *vec) {
+  double *rot_vec = (double *)malloc(n * sizeof(double));
+
+  double prod = 0.0;
+  for (q_t i = 0; i < n; i++) {
+    prod += rot[i] * vec[i];
+  }
+
+  for (q_t i = 0; i < n; i++) {
+    rot_vec[i] = vec[i] - 2 * prod * rot[i];
+  }
+
+  return rot_vec;
+}
+
+double *vector_rotate_inverse(q_t n, const double *rot, const double *vec) {
+  double *rot_vec = (double *)calloc(n, sizeof(double));
+
+  for (q_t i = 0; i < n; i++) {
+    for (q_t j = 0; j < n; j++) {
+      rot_vec[i] += rot[n * j + i] * vec[j];
+    }
+  }
+
+  return rot_vec;
+}
+
+double vector_dot(q_t n, double *v1, double *v2) {
+  double dot = 0;
+
+  for (q_t i = 0; i < n; i++) {
+    dot += v1[i] * v2[i];
+  }
+
+  return dot;
+}
+
+double *orthogonal_rotate(q_t n, double *r, double *m) {
+  double *mul = (double *)calloc(n * n, sizeof(double));
+
+  for (q_t i = 0; i < n; i++) {
+    double akOki = 0;
+
+    for (q_t k = 0; k < n; k++) {
+      akOki += r[k] * m[n * k + i];
+    }
+
+    for (q_t j = 0; j < n; j++) {
+      mul[n * j + i] = m[n * j + i] - 2 * akOki * r[j];
+    }
+  }
+
+  return mul;
+}
+
+double *gen_rot(gsl_rng *r, q_t n) {
+  double *v = (double *)malloc(n * sizeof(double));
+
+  double v2 = 0;
+
+  for (q_t i = 0; i < n; i++) {
+    v[i] = gsl_ran_ugaussian(r);
+    v2 += v[i] * v[i];
+  }
+
+  double magv = sqrt(v2);
+
+  for (q_t i = 0; i < n; i++) {
+    v[i] /= magv;
+  }
+
+  return v;
+}
+