--- /dev/null
+// SHAPES :: https://github.com/prideout/par
+// Simple C library for creation and manipulation of triangle meshes.
+//
+// The API is divided into three sections:
+//
+// - Generators. Create parametric surfaces, platonic solids, etc.
+// - Queries. Ask a mesh for its axis-aligned bounding box, etc.
+// - Transforms. Rotate a mesh, merge it with another, add normals, etc.
+//
+// In addition to the comment block above each function declaration, the API
+// has informal documentation here:
+//
+// https://prideout.net/shapes
+//
+// For our purposes, a "mesh" is a list of points and a list of triangles; the
+// former is a flattened list of three-tuples (32-bit floats) and the latter is
+// also a flattened list of three-tuples (16-bit uints). Triangles are always
+// oriented such that their front face winds counter-clockwise.
+//
+// Optionally, meshes can contain 3D normals (one per vertex), and 2D texture
+// coordinates (one per vertex). That's it! If you need something fancier,
+// look elsewhere.
+//
+// The MIT License
+// Copyright (c) 2015 Philip Rideout
+
+#ifndef PAR_SHAPES_H
+#define PAR_SHAPES_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include <stdint.h>
+
+// Ray: commented to avoid conflict with raylib bool
+/*
+#if !defined(_MSC_VER)
+# include <stdbool.h>
+#else // MSVC
+# if _MSC_VER >= 1800
+# include <stdbool.h>
+# else // stdbool.h missing prior to MSVC++ 12.0 (VS2013)
+//# define bool int
+//# define true 1
+//# define false 0
+# endif
+#endif
+*/
+
+#ifndef PAR_SHAPES_T
+#define PAR_SHAPES_T uint16_t
+#endif
+
+typedef struct par_shapes_mesh_s {
+ float* points; // Flat list of 3-tuples (X Y Z X Y Z...)
+ int npoints; // Number of points
+ PAR_SHAPES_T* triangles; // Flat list of 3-tuples (I J K I J K...)
+ int ntriangles; // Number of triangles
+ float* normals; // Optional list of 3-tuples (X Y Z X Y Z...)
+ float* tcoords; // Optional list of 2-tuples (U V U V U V...)
+} par_shapes_mesh;
+
+void par_shapes_free_mesh(par_shapes_mesh*);
+
+// Generators ------------------------------------------------------------------
+
+// Instance a cylinder that sits on the Z=0 plane using the given tessellation
+// levels across the UV domain. Think of "slices" like a number of pizza
+// slices, and "stacks" like a number of stacked rings. Height and radius are
+// both 1.0, but they can easily be changed with par_shapes_scale.
+par_shapes_mesh* par_shapes_create_cylinder(int slices, int stacks);
+
+// Create a donut that sits on the Z=0 plane with the specified inner radius.
+// The outer radius can be controlled with par_shapes_scale.
+par_shapes_mesh* par_shapes_create_torus(int slices, int stacks, float radius);
+
+// Create a sphere with texture coordinates and small triangles near the poles.
+par_shapes_mesh* par_shapes_create_parametric_sphere(int slices, int stacks);
+
+// Approximate a sphere with a subdivided icosahedron, which produces a nice
+// distribution of triangles, but no texture coordinates. Each subdivision
+// level scales the number of triangles by four, so use a very low number.
+par_shapes_mesh* par_shapes_create_subdivided_sphere(int nsubdivisions);
+
+// More parametric surfaces.
+par_shapes_mesh* par_shapes_create_klein_bottle(int slices, int stacks);
+par_shapes_mesh* par_shapes_create_trefoil_knot(int slices, int stacks,
+ float radius);
+par_shapes_mesh* par_shapes_create_hemisphere(int slices, int stacks);
+par_shapes_mesh* par_shapes_create_plane(int slices, int stacks);
+
+// Create a parametric surface from a callback function that consumes a 2D
+// point in [0,1] and produces a 3D point.
+typedef void (*par_shapes_fn)(float const*, float*, void*);
+par_shapes_mesh* par_shapes_create_parametric(par_shapes_fn, int slices,
+ int stacks, void* userdata);
+
+// Generate points for a 20-sided polyhedron that fits in the unit sphere.
+// Texture coordinates and normals are not generated.
+par_shapes_mesh* par_shapes_create_icosahedron();
+
+// Generate points for a 12-sided polyhedron that fits in the unit sphere.
+// Again, texture coordinates and normals are not generated.
+par_shapes_mesh* par_shapes_create_dodecahedron();
+
+// More platonic solids.
+par_shapes_mesh* par_shapes_create_octahedron();
+par_shapes_mesh* par_shapes_create_tetrahedron();
+par_shapes_mesh* par_shapes_create_cube();
+
+// Generate an orientable disk shape in 3-space. Does not include normals or
+// texture coordinates.
+par_shapes_mesh* par_shapes_create_disk(float radius, int slices,
+ float const* center, float const* normal);
+
+// Create an empty shape. Useful for building scenes with merge_and_free.
+par_shapes_mesh* par_shapes_create_empty();
+
+// Generate a rock shape that sits on the Y=0 plane, and sinks into it a bit.
+// This includes smooth normals but no texture coordinates. Each subdivision
+// level scales the number of triangles by four, so use a very low number.
+par_shapes_mesh* par_shapes_create_rock(int seed, int nsubdivisions);
+
+// Create trees or vegetation by executing a recursive turtle graphics program.
+// The program is a list of command-argument pairs. See the unit test for
+// an example. Texture coordinates and normals are not generated.
+par_shapes_mesh* par_shapes_create_lsystem(char const* program, int slices,
+ int maxdepth);
+
+// Queries ---------------------------------------------------------------------
+
+// Dump out a text file conforming to the venerable OBJ format.
+void par_shapes_export(par_shapes_mesh const*, char const* objfile);
+
+// Take a pointer to 6 floats and set them to min xyz, max xyz.
+void par_shapes_compute_aabb(par_shapes_mesh const* mesh, float* aabb);
+
+// Make a deep copy of a mesh. To make a brand new copy, pass null to "target".
+// To avoid memory churn, pass an existing mesh to "target".
+par_shapes_mesh* par_shapes_clone(par_shapes_mesh const* mesh,
+ par_shapes_mesh* target);
+
+// Transformations -------------------------------------------------------------
+
+void par_shapes_merge(par_shapes_mesh* dst, par_shapes_mesh const* src);
+void par_shapes_translate(par_shapes_mesh*, float x, float y, float z);
+void par_shapes_rotate(par_shapes_mesh*, float radians, float const* axis);
+void par_shapes_scale(par_shapes_mesh*, float x, float y, float z);
+void par_shapes_merge_and_free(par_shapes_mesh* dst, par_shapes_mesh* src);
+
+// Reverse the winding of a run of faces. Useful when drawing the inside of
+// a Cornell Box. Pass 0 for nfaces to reverse every face in the mesh.
+void par_shapes_invert(par_shapes_mesh*, int startface, int nfaces);
+
+// Remove all triangles whose area is less than minarea.
+void par_shapes_remove_degenerate(par_shapes_mesh*, float minarea);
+
+// Dereference the entire index buffer and replace the point list.
+// This creates an inefficient structure, but is useful for drawing facets.
+// If create_indices is true, a trivial "0 1 2 3..." index buffer is generated.
+void par_shapes_unweld(par_shapes_mesh* mesh, bool create_indices);
+
+// Merge colocated verts, build a new index buffer, and return the
+// optimized mesh. Epsilon is the maximum distance to consider when
+// welding vertices. The mapping argument can be null, or a pointer to
+// npoints integers, which gets filled with the mapping from old vertex
+// indices to new indices.
+par_shapes_mesh* par_shapes_weld(par_shapes_mesh const*, float epsilon,
+ PAR_SHAPES_T* mapping);
+
+// Compute smooth normals by averaging adjacent facet normals.
+void par_shapes_compute_normals(par_shapes_mesh* m);
+
+#ifndef PAR_PI
+#define PAR_PI (3.14159265359)
+#define PAR_MIN(a, b) (a > b ? b : a)
+#define PAR_MAX(a, b) (a > b ? a : b)
+#define PAR_CLAMP(v, lo, hi) PAR_MAX(lo, PAR_MIN(hi, v))
+#define PAR_SWAP(T, A, B) { T tmp = B; B = A; A = tmp; }
+#define PAR_SQR(a) ((a) * (a))
+#endif
+
+#ifndef PAR_MALLOC
+#define PAR_MALLOC(T, N) ((T*) malloc(N * sizeof(T)))
+#define PAR_CALLOC(T, N) ((T*) calloc(N * sizeof(T), 1))
+#define PAR_REALLOC(T, BUF, N) ((T*) realloc(BUF, sizeof(T) * (N)))
+#define PAR_FREE(BUF) free(BUF)
+#endif
+
+#ifdef __cplusplus
+}
+#endif
+
+// -----------------------------------------------------------------------------
+// END PUBLIC API
+// -----------------------------------------------------------------------------
+
+#ifdef PAR_SHAPES_IMPLEMENTATION
+#include <stdlib.h>
+#include <stdio.h>
+#include <assert.h>
+#include <float.h>
+#include <string.h>
+#include <math.h>
+#include <errno.h>
+
+static void par_shapes__sphere(float const* uv, float* xyz, void*);
+static void par_shapes__hemisphere(float const* uv, float* xyz, void*);
+static void par_shapes__plane(float const* uv, float* xyz, void*);
+static void par_shapes__klein(float const* uv, float* xyz, void*);
+static void par_shapes__cylinder(float const* uv, float* xyz, void*);
+static void par_shapes__torus(float const* uv, float* xyz, void*);
+static void par_shapes__trefoil(float const* uv, float* xyz, void*);
+
+struct osn_context;
+static int par__simplex_noise(int64_t seed, struct osn_context** ctx);
+static void par__simplex_noise_free(struct osn_context* ctx);
+static double par__simplex_noise2(struct osn_context* ctx, double x, double y);
+
+static void par_shapes__copy3(float* result, float const* a)
+{
+ result[0] = a[0];
+ result[1] = a[1];
+ result[2] = a[2];
+}
+
+static float par_shapes__dot3(float const* a, float const* b)
+{
+ return b[0] * a[0] + b[1] * a[1] + b[2] * a[2];
+}
+
+static void par_shapes__transform3(float* p, float const* x, float const* y,
+ float const* z)
+{
+ float px = par_shapes__dot3(p, x);
+ float py = par_shapes__dot3(p, y);
+ float pz = par_shapes__dot3(p, z);
+ p[0] = px;
+ p[1] = py;
+ p[2] = pz;
+}
+
+static void par_shapes__cross3(float* result, float const* a, float const* b)
+{
+ float x = (a[1] * b[2]) - (a[2] * b[1]);
+ float y = (a[2] * b[0]) - (a[0] * b[2]);
+ float z = (a[0] * b[1]) - (a[1] * b[0]);
+ result[0] = x;
+ result[1] = y;
+ result[2] = z;
+}
+
+static void par_shapes__mix3(float* d, float const* a, float const* b, float t)
+{
+ float x = b[0] * t + a[0] * (1 - t);
+ float y = b[1] * t + a[1] * (1 - t);
+ float z = b[2] * t + a[2] * (1 - t);
+ d[0] = x;
+ d[1] = y;
+ d[2] = z;
+}
+
+static void par_shapes__scale3(float* result, float a)
+{
+ result[0] *= a;
+ result[1] *= a;
+ result[2] *= a;
+}
+
+static void par_shapes__normalize3(float* v)
+{
+ float lsqr = sqrt(v[0]*v[0] + v[1]*v[1] + v[2]*v[2]);
+ if (lsqr > 0) {
+ par_shapes__scale3(v, 1.0f / lsqr);
+ }
+}
+
+static void par_shapes__subtract3(float* result, float const* a)
+{
+ result[0] -= a[0];
+ result[1] -= a[1];
+ result[2] -= a[2];
+}
+
+static void par_shapes__add3(float* result, float const* a)
+{
+ result[0] += a[0];
+ result[1] += a[1];
+ result[2] += a[2];
+}
+
+static float par_shapes__sqrdist3(float const* a, float const* b)
+{
+ float dx = a[0] - b[0];
+ float dy = a[1] - b[1];
+ float dz = a[2] - b[2];
+ return dx * dx + dy * dy + dz * dz;
+}
+
+static void par_shapes__compute_welded_normals(par_shapes_mesh* m)
+{
+ m->normals = PAR_MALLOC(float, m->npoints * 3);
+ PAR_SHAPES_T* weldmap = PAR_MALLOC(PAR_SHAPES_T, m->npoints);
+ par_shapes_mesh* welded = par_shapes_weld(m, 0.01, weldmap);
+ par_shapes_compute_normals(welded);
+ float* pdst = m->normals;
+ for (int i = 0; i < m->npoints; i++, pdst += 3) {
+ int d = weldmap[i];
+ float const* pnormal = welded->normals + d * 3;
+ pdst[0] = pnormal[0];
+ pdst[1] = pnormal[1];
+ pdst[2] = pnormal[2];
+ }
+ PAR_FREE(weldmap);
+ par_shapes_free_mesh(welded);
+}
+
+par_shapes_mesh* par_shapes_create_cylinder(int slices, int stacks)
+{
+ if (slices < 3 || stacks < 1) {
+ return 0;
+ }
+ return par_shapes_create_parametric(par_shapes__cylinder, slices,
+ stacks, 0);
+}
+
+par_shapes_mesh* par_shapes_create_parametric_sphere(int slices, int stacks)
+{
+ if (slices < 3 || stacks < 3) {
+ return 0;
+ }
+ par_shapes_mesh* m = par_shapes_create_parametric(par_shapes__sphere,
+ slices, stacks, 0);
+ par_shapes_remove_degenerate(m, 0.0001);
+ return m;
+}
+
+par_shapes_mesh* par_shapes_create_hemisphere(int slices, int stacks)
+{
+ if (slices < 3 || stacks < 3) {
+ return 0;
+ }
+ par_shapes_mesh* m = par_shapes_create_parametric(par_shapes__hemisphere,
+ slices, stacks, 0);
+ par_shapes_remove_degenerate(m, 0.0001);
+ return m;
+}
+
+par_shapes_mesh* par_shapes_create_torus(int slices, int stacks, float radius)
+{
+ if (slices < 3 || stacks < 3) {
+ return 0;
+ }
+ assert(radius <= 1.0 && "Use smaller radius to avoid self-intersection.");
+ assert(radius >= 0.1 && "Use larger radius to avoid self-intersection.");
+ void* userdata = (void*) &radius;
+ return par_shapes_create_parametric(par_shapes__torus, slices,
+ stacks, userdata);
+}
+
+par_shapes_mesh* par_shapes_create_klein_bottle(int slices, int stacks)
+{
+ if (slices < 3 || stacks < 3) {
+ return 0;
+ }
+ par_shapes_mesh* mesh = par_shapes_create_parametric(
+ par_shapes__klein, slices, stacks, 0);
+ int face = 0;
+ for (int stack = 0; stack < stacks; stack++) {
+ for (int slice = 0; slice < slices; slice++, face += 2) {
+ if (stack < 27 * stacks / 32) {
+ par_shapes_invert(mesh, face, 2);
+ }
+ }
+ }
+ par_shapes__compute_welded_normals(mesh);
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_trefoil_knot(int slices, int stacks,
+ float radius)
+{
+ if (slices < 3 || stacks < 3) {
+ return 0;
+ }
+ assert(radius <= 3.0 && "Use smaller radius to avoid self-intersection.");
+ assert(radius >= 0.5 && "Use larger radius to avoid self-intersection.");
+ void* userdata = (void*) &radius;
+ return par_shapes_create_parametric(par_shapes__trefoil, slices,
+ stacks, userdata);
+}
+
+par_shapes_mesh* par_shapes_create_plane(int slices, int stacks)
+{
+ if (slices < 1 || stacks < 1) {
+ return 0;
+ }
+ return par_shapes_create_parametric(par_shapes__plane, slices,
+ stacks, 0);
+}
+
+par_shapes_mesh* par_shapes_create_parametric(par_shapes_fn fn,
+ int slices, int stacks, void* userdata)
+{
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+
+ // Generate verts.
+ mesh->npoints = (slices + 1) * (stacks + 1);
+ mesh->points = PAR_CALLOC(float, 3 * mesh->npoints);
+ float uv[2];
+ float xyz[3];
+ float* points = mesh->points;
+ for (int stack = 0; stack < stacks + 1; stack++) {
+ uv[0] = (float) stack / stacks;
+ for (int slice = 0; slice < slices + 1; slice++) {
+ uv[1] = (float) slice / slices;
+ fn(uv, xyz, userdata);
+ *points++ = xyz[0];
+ *points++ = xyz[1];
+ *points++ = xyz[2];
+ }
+ }
+
+ // Generate texture coordinates.
+ mesh->tcoords = PAR_CALLOC(float, 2 * mesh->npoints);
+ float* uvs = mesh->tcoords;
+ for (int stack = 0; stack < stacks + 1; stack++) {
+ uv[0] = (float) stack / stacks;
+ for (int slice = 0; slice < slices + 1; slice++) {
+ uv[1] = (float) slice / slices;
+ *uvs++ = uv[0];
+ *uvs++ = uv[1];
+ }
+ }
+
+ // Generate faces.
+ mesh->ntriangles = 2 * slices * stacks;
+ mesh->triangles = PAR_CALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles);
+ int v = 0;
+ PAR_SHAPES_T* face = mesh->triangles;
+ for (int stack = 0; stack < stacks; stack++) {
+ for (int slice = 0; slice < slices; slice++) {
+ int next = slice + 1;
+ *face++ = v + slice + slices + 1;
+ *face++ = v + next;
+ *face++ = v + slice;
+ *face++ = v + slice + slices + 1;
+ *face++ = v + next + slices + 1;
+ *face++ = v + next;
+ }
+ v += slices + 1;
+ }
+
+ par_shapes__compute_welded_normals(mesh);
+ return mesh;
+}
+
+void par_shapes_free_mesh(par_shapes_mesh* mesh)
+{
+ PAR_FREE(mesh->points);
+ PAR_FREE(mesh->triangles);
+ PAR_FREE(mesh->normals);
+ PAR_FREE(mesh->tcoords);
+ PAR_FREE(mesh);
+}
+
+void par_shapes_export(par_shapes_mesh const* mesh, char const* filename)
+{
+ FILE* objfile = fopen(filename, "wt");
+ float const* points = mesh->points;
+ float const* tcoords = mesh->tcoords;
+ float const* norms = mesh->normals;
+ PAR_SHAPES_T const* indices = mesh->triangles;
+ if (tcoords && norms) {
+ for (int nvert = 0; nvert < mesh->npoints; nvert++) {
+ fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]);
+ fprintf(objfile, "vt %f %f\n", tcoords[0], tcoords[1]);
+ fprintf(objfile, "vn %f %f %f\n", norms[0], norms[1], norms[2]);
+ points += 3;
+ norms += 3;
+ tcoords += 2;
+ }
+ for (int nface = 0; nface < mesh->ntriangles; nface++) {
+ int a = 1 + *indices++;
+ int b = 1 + *indices++;
+ int c = 1 + *indices++;
+ fprintf(objfile, "f %d/%d/%d %d/%d/%d %d/%d/%d\n",
+ a, a, a, b, b, b, c, c, c);
+ }
+ } else if (norms) {
+ for (int nvert = 0; nvert < mesh->npoints; nvert++) {
+ fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]);
+ fprintf(objfile, "vn %f %f %f\n", norms[0], norms[1], norms[2]);
+ points += 3;
+ norms += 3;
+ }
+ for (int nface = 0; nface < mesh->ntriangles; nface++) {
+ int a = 1 + *indices++;
+ int b = 1 + *indices++;
+ int c = 1 + *indices++;
+ fprintf(objfile, "f %d//%d %d//%d %d//%d\n", a, a, b, b, c, c);
+ }
+ } else if (tcoords) {
+ for (int nvert = 0; nvert < mesh->npoints; nvert++) {
+ fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]);
+ fprintf(objfile, "vt %f %f\n", tcoords[0], tcoords[1]);
+ points += 3;
+ tcoords += 2;
+ }
+ for (int nface = 0; nface < mesh->ntriangles; nface++) {
+ int a = 1 + *indices++;
+ int b = 1 + *indices++;
+ int c = 1 + *indices++;
+ fprintf(objfile, "f %d/%d %d/%d %d/%d\n", a, a, b, b, c, c);
+ }
+ } else {
+ for (int nvert = 0; nvert < mesh->npoints; nvert++) {
+ fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]);
+ points += 3;
+ }
+ for (int nface = 0; nface < mesh->ntriangles; nface++) {
+ int a = 1 + *indices++;
+ int b = 1 + *indices++;
+ int c = 1 + *indices++;
+ fprintf(objfile, "f %d %d %d\n", a, b, c);
+ }
+ }
+ fclose(objfile);
+}
+
+static void par_shapes__sphere(float const* uv, float* xyz, void* userdata)
+{
+ float phi = uv[0] * PAR_PI;
+ float theta = uv[1] * 2 * PAR_PI;
+ xyz[0] = cosf(theta) * sinf(phi);
+ xyz[1] = sinf(theta) * sinf(phi);
+ xyz[2] = cosf(phi);
+}
+
+static void par_shapes__hemisphere(float const* uv, float* xyz, void* userdata)
+{
+ float phi = uv[0] * PAR_PI;
+ float theta = uv[1] * PAR_PI;
+ xyz[0] = cosf(theta) * sinf(phi);
+ xyz[1] = sinf(theta) * sinf(phi);
+ xyz[2] = cosf(phi);
+}
+
+static void par_shapes__plane(float const* uv, float* xyz, void* userdata)
+{
+ xyz[0] = uv[0];
+ xyz[1] = uv[1];
+ xyz[2] = 0;
+}
+
+static void par_shapes__klein(float const* uv, float* xyz, void* userdata)
+{
+ float u = uv[0] * PAR_PI;
+ float v = uv[1] * 2 * PAR_PI;
+ u = u * 2;
+ if (u < PAR_PI) {
+ xyz[0] = 3 * cosf(u) * (1 + sinf(u)) + (2 * (1 - cosf(u) / 2)) *
+ cosf(u) * cosf(v);
+ xyz[2] = -8 * sinf(u) - 2 * (1 - cosf(u) / 2) * sinf(u) * cosf(v);
+ } else {
+ xyz[0] = 3 * cosf(u) * (1 + sinf(u)) + (2 * (1 - cosf(u) / 2)) *
+ cosf(v + PAR_PI);
+ xyz[2] = -8 * sinf(u);
+ }
+ xyz[1] = -2 * (1 - cosf(u) / 2) * sinf(v);
+}
+
+static void par_shapes__cylinder(float const* uv, float* xyz, void* userdata)
+{
+ float theta = uv[1] * 2 * PAR_PI;
+ xyz[0] = sinf(theta);
+ xyz[1] = cosf(theta);
+ xyz[2] = uv[0];
+}
+
+static void par_shapes__torus(float const* uv, float* xyz, void* userdata)
+{
+ float major = 1;
+ float minor = *((float*) userdata);
+ float theta = uv[0] * 2 * PAR_PI;
+ float phi = uv[1] * 2 * PAR_PI;
+ float beta = major + minor * cosf(phi);
+ xyz[0] = cosf(theta) * beta;
+ xyz[1] = sinf(theta) * beta;
+ xyz[2] = sinf(phi) * minor;
+}
+
+static void par_shapes__trefoil(float const* uv, float* xyz, void* userdata)
+{
+ float minor = *((float*) userdata);
+ const float a = 0.5f;
+ const float b = 0.3f;
+ const float c = 0.5f;
+ const float d = minor * 0.1f;
+ const float u = (1 - uv[0]) * 4 * PAR_PI;
+ const float v = uv[1] * 2 * PAR_PI;
+ const float r = a + b * cos(1.5f * u);
+ const float x = r * cos(u);
+ const float y = r * sin(u);
+ const float z = c * sin(1.5f * u);
+ float q[3];
+ q[0] =
+ -1.5f * b * sin(1.5f * u) * cos(u) - (a + b * cos(1.5f * u)) * sin(u);
+ q[1] =
+ -1.5f * b * sin(1.5f * u) * sin(u) + (a + b * cos(1.5f * u)) * cos(u);
+ q[2] = 1.5f * c * cos(1.5f * u);
+ par_shapes__normalize3(q);
+ float qvn[3] = {q[1], -q[0], 0};
+ par_shapes__normalize3(qvn);
+ float ww[3];
+ par_shapes__cross3(ww, q, qvn);
+ xyz[0] = x + d * (qvn[0] * cos(v) + ww[0] * sin(v));
+ xyz[1] = y + d * (qvn[1] * cos(v) + ww[1] * sin(v));
+ xyz[2] = z + d * ww[2] * sin(v);
+}
+
+void par_shapes_merge(par_shapes_mesh* dst, par_shapes_mesh const* src)
+{
+ PAR_SHAPES_T offset = dst->npoints;
+ int npoints = dst->npoints + src->npoints;
+ int vecsize = sizeof(float) * 3;
+ dst->points = PAR_REALLOC(float, dst->points, 3 * npoints);
+ memcpy(dst->points + 3 * dst->npoints, src->points, vecsize * src->npoints);
+ dst->npoints = npoints;
+ if (src->normals || dst->normals) {
+ dst->normals = PAR_REALLOC(float, dst->normals, 3 * npoints);
+ if (src->normals) {
+ memcpy(dst->normals + 3 * offset, src->normals,
+ vecsize * src->npoints);
+ }
+ }
+ if (src->tcoords || dst->tcoords) {
+ int uvsize = sizeof(float) * 2;
+ dst->tcoords = PAR_REALLOC(float, dst->tcoords, 2 * npoints);
+ if (src->tcoords) {
+ memcpy(dst->tcoords + 2 * offset, src->tcoords,
+ uvsize * src->npoints);
+ }
+ }
+ int ntriangles = dst->ntriangles + src->ntriangles;
+ dst->triangles = PAR_REALLOC(PAR_SHAPES_T, dst->triangles, 3 * ntriangles);
+ PAR_SHAPES_T* ptriangles = dst->triangles + 3 * dst->ntriangles;
+ PAR_SHAPES_T const* striangles = src->triangles;
+ for (int i = 0; i < src->ntriangles; i++) {
+ *ptriangles++ = offset + *striangles++;
+ *ptriangles++ = offset + *striangles++;
+ *ptriangles++ = offset + *striangles++;
+ }
+ dst->ntriangles = ntriangles;
+}
+
+par_shapes_mesh* par_shapes_create_disk(float radius, int slices,
+ float const* center, float const* normal)
+{
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+ mesh->npoints = slices + 1;
+ mesh->points = PAR_MALLOC(float, 3 * mesh->npoints);
+ float* points = mesh->points;
+ *points++ = 0;
+ *points++ = 0;
+ *points++ = 0;
+ for (int i = 0; i < slices; i++) {
+ float theta = i * PAR_PI * 2 / slices;
+ *points++ = radius * cos(theta);
+ *points++ = radius * sin(theta);
+ *points++ = 0;
+ }
+ float nnormal[3] = {normal[0], normal[1], normal[2]};
+ par_shapes__normalize3(nnormal);
+ mesh->normals = PAR_MALLOC(float, 3 * mesh->npoints);
+ float* norms = mesh->normals;
+ for (int i = 0; i < mesh->npoints; i++) {
+ *norms++ = nnormal[0];
+ *norms++ = nnormal[1];
+ *norms++ = nnormal[2];
+ }
+ mesh->ntriangles = slices;
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles);
+ PAR_SHAPES_T* triangles = mesh->triangles;
+ for (int i = 0; i < slices; i++) {
+ *triangles++ = 0;
+ *triangles++ = 1 + i;
+ *triangles++ = 1 + (i + 1) % slices;
+ }
+ float k[3] = {0, 0, -1};
+ float axis[3];
+ par_shapes__cross3(axis, nnormal, k);
+ par_shapes__normalize3(axis);
+ par_shapes_rotate(mesh, acos(nnormal[2]), axis);
+ par_shapes_translate(mesh, center[0], center[1], center[2]);
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_empty()
+{
+ return PAR_CALLOC(par_shapes_mesh, 1);
+}
+
+void par_shapes_translate(par_shapes_mesh* m, float x, float y, float z)
+{
+ float* points = m->points;
+ for (int i = 0; i < m->npoints; i++) {
+ *points++ += x;
+ *points++ += y;
+ *points++ += z;
+ }
+}
+
+void par_shapes_rotate(par_shapes_mesh* mesh, float radians, float const* axis)
+{
+ float s = sinf(radians);
+ float c = cosf(radians);
+ float x = axis[0];
+ float y = axis[1];
+ float z = axis[2];
+ float xy = x * y;
+ float yz = y * z;
+ float zx = z * x;
+ float oneMinusC = 1.0f - c;
+ float col0[3] = {
+ (((x * x) * oneMinusC) + c),
+ ((xy * oneMinusC) + (z * s)), ((zx * oneMinusC) - (y * s))
+ };
+ float col1[3] = {
+ ((xy * oneMinusC) - (z * s)),
+ (((y * y) * oneMinusC) + c), ((yz * oneMinusC) + (x * s))
+ };
+ float col2[3] = {
+ ((zx * oneMinusC) + (y * s)),
+ ((yz * oneMinusC) - (x * s)), (((z * z) * oneMinusC) + c)
+ };
+ float* p = mesh->points;
+ for (int i = 0; i < mesh->npoints; i++, p += 3) {
+ float x = col0[0] * p[0] + col1[0] * p[1] + col2[0] * p[2];
+ float y = col0[1] * p[0] + col1[1] * p[1] + col2[1] * p[2];
+ float z = col0[2] * p[0] + col1[2] * p[1] + col2[2] * p[2];
+ p[0] = x;
+ p[1] = y;
+ p[2] = z;
+ }
+ p = mesh->normals;
+ if (p) {
+ for (int i = 0; i < mesh->npoints; i++, p += 3) {
+ float x = col0[0] * p[0] + col1[0] * p[1] + col2[0] * p[2];
+ float y = col0[1] * p[0] + col1[1] * p[1] + col2[1] * p[2];
+ float z = col0[2] * p[0] + col1[2] * p[1] + col2[2] * p[2];
+ p[0] = x;
+ p[1] = y;
+ p[2] = z;
+ }
+ }
+}
+
+void par_shapes_scale(par_shapes_mesh* m, float x, float y, float z)
+{
+ float* points = m->points;
+ for (int i = 0; i < m->npoints; i++) {
+ *points++ *= x;
+ *points++ *= y;
+ *points++ *= z;
+ }
+}
+
+void par_shapes_merge_and_free(par_shapes_mesh* dst, par_shapes_mesh* src)
+{
+ par_shapes_merge(dst, src);
+ par_shapes_free_mesh(src);
+}
+
+void par_shapes_compute_aabb(par_shapes_mesh const* m, float* aabb)
+{
+ float* points = m->points;
+ aabb[0] = aabb[3] = points[0];
+ aabb[1] = aabb[4] = points[1];
+ aabb[2] = aabb[5] = points[2];
+ points += 3;
+ for (int i = 1; i < m->npoints; i++, points += 3) {
+ aabb[0] = PAR_MIN(points[0], aabb[0]);
+ aabb[1] = PAR_MIN(points[1], aabb[1]);
+ aabb[2] = PAR_MIN(points[2], aabb[2]);
+ aabb[3] = PAR_MAX(points[0], aabb[3]);
+ aabb[4] = PAR_MAX(points[1], aabb[4]);
+ aabb[5] = PAR_MAX(points[2], aabb[5]);
+ }
+}
+
+void par_shapes_invert(par_shapes_mesh* m, int face, int nfaces)
+{
+ nfaces = nfaces ? nfaces : m->ntriangles;
+ PAR_SHAPES_T* tri = m->triangles + face * 3;
+ for (int i = 0; i < nfaces; i++) {
+ PAR_SWAP(PAR_SHAPES_T, tri[0], tri[2]);
+ tri += 3;
+ }
+}
+
+par_shapes_mesh* par_shapes_create_icosahedron()
+{
+ static float verts[] = {
+ 0.000, 0.000, 1.000,
+ 0.894, 0.000, 0.447,
+ 0.276, 0.851, 0.447,
+ -0.724, 0.526, 0.447,
+ -0.724, -0.526, 0.447,
+ 0.276, -0.851, 0.447,
+ 0.724, 0.526, -0.447,
+ -0.276, 0.851, -0.447,
+ -0.894, 0.000, -0.447,
+ -0.276, -0.851, -0.447,
+ 0.724, -0.526, -0.447,
+ 0.000, 0.000, -1.000
+ };
+ static PAR_SHAPES_T faces[] = {
+ 0,1,2,
+ 0,2,3,
+ 0,3,4,
+ 0,4,5,
+ 0,5,1,
+ 7,6,11,
+ 8,7,11,
+ 9,8,11,
+ 10,9,11,
+ 6,10,11,
+ 6,2,1,
+ 7,3,2,
+ 8,4,3,
+ 9,5,4,
+ 10,1,5,
+ 6,7,2,
+ 7,8,3,
+ 8,9,4,
+ 9,10,5,
+ 10,6,1
+ };
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+ mesh->npoints = sizeof(verts) / sizeof(verts[0]) / 3;
+ mesh->points = PAR_MALLOC(float, sizeof(verts) / 4);
+ memcpy(mesh->points, verts, sizeof(verts));
+ mesh->ntriangles = sizeof(faces) / sizeof(faces[0]) / 3;
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, sizeof(faces) / 2);
+ memcpy(mesh->triangles, faces, sizeof(faces));
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_dodecahedron()
+{
+ static float verts[20 * 3] = {
+ 0.607, 0.000, 0.795,
+ 0.188, 0.577, 0.795,
+ -0.491, 0.357, 0.795,
+ -0.491, -0.357, 0.795,
+ 0.188, -0.577, 0.795,
+ 0.982, 0.000, 0.188,
+ 0.304, 0.934, 0.188,
+ -0.795, 0.577, 0.188,
+ -0.795, -0.577, 0.188,
+ 0.304, -0.934, 0.188,
+ 0.795, 0.577, -0.188,
+ -0.304, 0.934, -0.188,
+ -0.982, 0.000, -0.188,
+ -0.304, -0.934, -0.188,
+ 0.795, -0.577, -0.188,
+ 0.491, 0.357, -0.795,
+ -0.188, 0.577, -0.795,
+ -0.607, 0.000, -0.795,
+ -0.188, -0.577, -0.795,
+ 0.491, -0.357, -0.795,
+ };
+ static PAR_SHAPES_T pentagons[12 * 5] = {
+ 0,1,2,3,4,
+ 5,10,6,1,0,
+ 6,11,7,2,1,
+ 7,12,8,3,2,
+ 8,13,9,4,3,
+ 9,14,5,0,4,
+ 15,16,11,6,10,
+ 16,17,12,7,11,
+ 17,18,13,8,12,
+ 18,19,14,9,13,
+ 19,15,10,5,14,
+ 19,18,17,16,15
+ };
+ int npentagons = sizeof(pentagons) / sizeof(pentagons[0]) / 5;
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+ int ncorners = sizeof(verts) / sizeof(verts[0]) / 3;
+ mesh->npoints = ncorners;
+ mesh->points = PAR_MALLOC(float, mesh->npoints * 3);
+ memcpy(mesh->points, verts, sizeof(verts));
+ PAR_SHAPES_T const* pentagon = pentagons;
+ mesh->ntriangles = npentagons * 3;
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3);
+ PAR_SHAPES_T* tris = mesh->triangles;
+ for (int p = 0; p < npentagons; p++, pentagon += 5) {
+ *tris++ = pentagon[0];
+ *tris++ = pentagon[1];
+ *tris++ = pentagon[2];
+ *tris++ = pentagon[0];
+ *tris++ = pentagon[2];
+ *tris++ = pentagon[3];
+ *tris++ = pentagon[0];
+ *tris++ = pentagon[3];
+ *tris++ = pentagon[4];
+ }
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_octahedron()
+{
+ static float verts[6 * 3] = {
+ 0.000, 0.000, 1.000,
+ 1.000, 0.000, 0.000,
+ 0.000, 1.000, 0.000,
+ -1.000, 0.000, 0.000,
+ 0.000, -1.000, 0.000,
+ 0.000, 0.000, -1.000
+ };
+ static PAR_SHAPES_T triangles[8 * 3] = {
+ 0,1,2,
+ 0,2,3,
+ 0,3,4,
+ 0,4,1,
+ 2,1,5,
+ 3,2,5,
+ 4,3,5,
+ 1,4,5,
+ };
+ int ntris = sizeof(triangles) / sizeof(triangles[0]) / 3;
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+ int ncorners = sizeof(verts) / sizeof(verts[0]) / 3;
+ mesh->npoints = ncorners;
+ mesh->points = PAR_MALLOC(float, mesh->npoints * 3);
+ memcpy(mesh->points, verts, sizeof(verts));
+ PAR_SHAPES_T const* triangle = triangles;
+ mesh->ntriangles = ntris;
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3);
+ PAR_SHAPES_T* tris = mesh->triangles;
+ for (int p = 0; p < ntris; p++) {
+ *tris++ = *triangle++;
+ *tris++ = *triangle++;
+ *tris++ = *triangle++;
+ }
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_tetrahedron()
+{
+ static float verts[4 * 3] = {
+ 0.000, 1.333, 0,
+ 0.943, 0, 0,
+ -0.471, 0, 0.816,
+ -0.471, 0, -0.816,
+ };
+ static PAR_SHAPES_T triangles[4 * 3] = {
+ 2,1,0,
+ 3,2,0,
+ 1,3,0,
+ 1,2,3,
+ };
+ int ntris = sizeof(triangles) / sizeof(triangles[0]) / 3;
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+ int ncorners = sizeof(verts) / sizeof(verts[0]) / 3;
+ mesh->npoints = ncorners;
+ mesh->points = PAR_MALLOC(float, mesh->npoints * 3);
+ memcpy(mesh->points, verts, sizeof(verts));
+ PAR_SHAPES_T const* triangle = triangles;
+ mesh->ntriangles = ntris;
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3);
+ PAR_SHAPES_T* tris = mesh->triangles;
+ for (int p = 0; p < ntris; p++) {
+ *tris++ = *triangle++;
+ *tris++ = *triangle++;
+ *tris++ = *triangle++;
+ }
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_cube()
+{
+ static float verts[8 * 3] = {
+ 0, 0, 0, // 0
+ 0, 1, 0, // 1
+ 1, 1, 0, // 2
+ 1, 0, 0, // 3
+ 0, 0, 1, // 4
+ 0, 1, 1, // 5
+ 1, 1, 1, // 6
+ 1, 0, 1, // 7
+ };
+ static PAR_SHAPES_T quads[6 * 4] = {
+ 7,6,5,4, // front
+ 0,1,2,3, // back
+ 6,7,3,2, // right
+ 5,6,2,1, // top
+ 4,5,1,0, // left
+ 7,4,0,3, // bottom
+ };
+ int nquads = sizeof(quads) / sizeof(quads[0]) / 4;
+ par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1);
+ int ncorners = sizeof(verts) / sizeof(verts[0]) / 3;
+ mesh->npoints = ncorners;
+ mesh->points = PAR_MALLOC(float, mesh->npoints * 3);
+ memcpy(mesh->points, verts, sizeof(verts));
+ PAR_SHAPES_T const* quad = quads;
+ mesh->ntriangles = nquads * 2;
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3);
+ PAR_SHAPES_T* tris = mesh->triangles;
+ for (int p = 0; p < nquads; p++, quad += 4) {
+ *tris++ = quad[0];
+ *tris++ = quad[1];
+ *tris++ = quad[2];
+ *tris++ = quad[2];
+ *tris++ = quad[3];
+ *tris++ = quad[0];
+ }
+ return mesh;
+}
+
+typedef struct {
+ char* cmd;
+ char* arg;
+} par_shapes__command;
+
+typedef struct {
+ char const* name;
+ int weight;
+ int ncommands;
+ par_shapes__command* commands;
+} par_shapes__rule;
+
+typedef struct {
+ int pc;
+ float position[3];
+ float scale[3];
+ par_shapes_mesh* orientation;
+ par_shapes__rule* rule;
+} par_shapes__stackframe;
+
+static par_shapes__rule* par_shapes__pick_rule(const char* name,
+ par_shapes__rule* rules, int nrules)
+{
+ par_shapes__rule* rule = 0;
+ int total = 0;
+ for (int i = 0; i < nrules; i++) {
+ rule = rules + i;
+ if (!strcmp(rule->name, name)) {
+ total += rule->weight;
+ }
+ }
+ float r = (float) rand() / RAND_MAX;
+ float t = 0;
+ for (int i = 0; i < nrules; i++) {
+ rule = rules + i;
+ if (!strcmp(rule->name, name)) {
+ t += (float) rule->weight / total;
+ if (t >= r) {
+ return rule;
+ }
+ }
+ }
+ return rule;
+}
+
+static par_shapes_mesh* par_shapes__create_turtle()
+{
+ const float xaxis[] = {1, 0, 0};
+ const float yaxis[] = {0, 1, 0};
+ const float zaxis[] = {0, 0, 1};
+ par_shapes_mesh* turtle = PAR_CALLOC(par_shapes_mesh, 1);
+ turtle->npoints = 3;
+ turtle->points = PAR_CALLOC(float, turtle->npoints * 3);
+ par_shapes__copy3(turtle->points + 0, xaxis);
+ par_shapes__copy3(turtle->points + 3, yaxis);
+ par_shapes__copy3(turtle->points + 6, zaxis);
+ return turtle;
+}
+
+static par_shapes_mesh* par_shapes__apply_turtle(par_shapes_mesh* mesh,
+ par_shapes_mesh* turtle, float const* pos, float const* scale)
+{
+ par_shapes_mesh* m = par_shapes_clone(mesh, 0);
+ for (int p = 0; p < m->npoints; p++) {
+ float* pt = m->points + p * 3;
+ pt[0] *= scale[0];
+ pt[1] *= scale[1];
+ pt[2] *= scale[2];
+ par_shapes__transform3(pt,
+ turtle->points + 0, turtle->points + 3, turtle->points + 6);
+ pt[0] += pos[0];
+ pt[1] += pos[1];
+ pt[2] += pos[2];
+ }
+ return m;
+}
+
+static void par_shapes__connect(par_shapes_mesh* scene,
+ par_shapes_mesh* cylinder, int slices)
+{
+ int stacks = 1;
+ int npoints = (slices + 1) * (stacks + 1);
+ assert(scene->npoints >= npoints && "Cannot connect to empty scene.");
+
+ // Create the new point list.
+ npoints = scene->npoints + (slices + 1);
+ float* points = PAR_MALLOC(float, npoints * 3);
+ memcpy(points, scene->points, sizeof(float) * scene->npoints * 3);
+ float* newpts = points + scene->npoints * 3;
+ memcpy(newpts, cylinder->points + (slices + 1) * 3,
+ sizeof(float) * (slices + 1) * 3);
+ PAR_FREE(scene->points);
+ scene->points = points;
+
+ // Create the new triangle list.
+ int ntriangles = scene->ntriangles + 2 * slices * stacks;
+ PAR_SHAPES_T* triangles = PAR_MALLOC(PAR_SHAPES_T, ntriangles * 3);
+ memcpy(triangles, scene->triangles, 2 * scene->ntriangles * 3);
+ int v = scene->npoints - (slices + 1);
+ PAR_SHAPES_T* face = triangles + scene->ntriangles * 3;
+ for (int stack = 0; stack < stacks; stack++) {
+ for (int slice = 0; slice < slices; slice++) {
+ int next = slice + 1;
+ *face++ = v + slice + slices + 1;
+ *face++ = v + next;
+ *face++ = v + slice;
+ *face++ = v + slice + slices + 1;
+ *face++ = v + next + slices + 1;
+ *face++ = v + next;
+ }
+ v += slices + 1;
+ }
+ PAR_FREE(scene->triangles);
+ scene->triangles = triangles;
+
+ scene->npoints = npoints;
+ scene->ntriangles = ntriangles;
+}
+
+par_shapes_mesh* par_shapes_create_lsystem(char const* text, int slices,
+ int maxdepth)
+{
+ char* program;
+ program = PAR_MALLOC(char, strlen(text) + 1);
+
+ // The first pass counts the number of rules and commands.
+ strcpy(program, text);
+ char *cmd = strtok(program, " ");
+ int nrules = 1;
+ int ncommands = 0;
+ while (cmd) {
+ char *arg = strtok(0, " ");
+ if (!arg) {
+ //puts("lsystem error: unexpected end of program.");
+ break;
+ }
+ if (!strcmp(cmd, "rule")) {
+ nrules++;
+ } else {
+ ncommands++;
+ }
+ cmd = strtok(0, " ");
+ }
+
+ // Allocate space.
+ par_shapes__rule* rules = PAR_MALLOC(par_shapes__rule, nrules);
+ par_shapes__command* commands = PAR_MALLOC(par_shapes__command, ncommands);
+
+ // Initialize the entry rule.
+ par_shapes__rule* current_rule = &rules[0];
+ par_shapes__command* current_command = &commands[0];
+ current_rule->name = "entry";
+ current_rule->weight = 1;
+ current_rule->ncommands = 0;
+ current_rule->commands = current_command;
+
+ // The second pass fills in the structures.
+ strcpy(program, text);
+ cmd = strtok(program, " ");
+ while (cmd) {
+ char *arg = strtok(0, " ");
+ if (!strcmp(cmd, "rule")) {
+ current_rule++;
+
+ // Split the argument into a rule name and weight.
+ char* dot = strchr(arg, '.');
+ if (dot) {
+ current_rule->weight = atoi(dot + 1);
+ *dot = 0;
+ } else {
+ current_rule->weight = 1;
+ }
+
+ current_rule->name = arg;
+ current_rule->ncommands = 0;
+ current_rule->commands = current_command;
+ } else {
+ current_rule->ncommands++;
+ current_command->cmd = cmd;
+ current_command->arg = arg;
+ current_command++;
+ }
+ cmd = strtok(0, " ");
+ }
+
+ // For testing purposes, dump out the parsed program.
+ #ifdef TEST_PARSE
+ /*
+ for (int i = 0; i < nrules; i++) {
+ par_shapes__rule rule = rules[i];
+ printf("rule %s.%d\n", rule.name, rule.weight);
+ for (int c = 0; c < rule.ncommands; c++) {
+ par_shapes__command cmd = rule.commands[c];
+ printf("\t%s %s\n", cmd.cmd, cmd.arg);
+ }
+ }
+ */
+ #endif
+
+ // Instantiate the aggregated shape and the template shapes.
+ par_shapes_mesh* scene = PAR_CALLOC(par_shapes_mesh, 1);
+ par_shapes_mesh* tube = par_shapes_create_cylinder(slices, 1);
+ par_shapes_mesh* turtle = par_shapes__create_turtle();
+
+ // We're not attempting to support texture coordinates and normals
+ // with L-systems, so remove them from the template shape.
+ PAR_FREE(tube->normals);
+ PAR_FREE(tube->tcoords);
+ tube->normals = 0;
+ tube->tcoords = 0;
+
+ const float xaxis[] = {1, 0, 0};
+ const float yaxis[] = {0, 1, 0};
+ const float zaxis[] = {0, 0, 1};
+ const float units[] = {1, 1, 1};
+
+ // Execute the L-system program until the stack size is 0.
+ par_shapes__stackframe* stack =
+ PAR_CALLOC(par_shapes__stackframe, maxdepth);
+ int stackptr = 0;
+ stack[0].orientation = turtle;
+ stack[0].rule = &rules[0];
+ par_shapes__copy3(stack[0].scale, units);
+ while (stackptr >= 0) {
+ par_shapes__stackframe* frame = &stack[stackptr];
+ par_shapes__rule* rule = frame->rule;
+ par_shapes_mesh* turtle = frame->orientation;
+ float* position = frame->position;
+ float* scale = frame->scale;
+ if (frame->pc >= rule->ncommands) {
+ par_shapes_free_mesh(turtle);
+ stackptr--;
+ continue;
+ }
+
+ par_shapes__command* cmd = rule->commands + (frame->pc++);
+ #ifdef DUMP_TRACE
+ //printf("%5s %5s %5s:%d %03d\n", cmd->cmd, cmd->arg, rule->name, frame->pc - 1, stackptr);
+ #endif
+
+ float value;
+ if (!strcmp(cmd->cmd, "shape")) {
+ par_shapes_mesh* m = par_shapes__apply_turtle(tube, turtle,
+ position, scale);
+ if (!strcmp(cmd->arg, "connect")) {
+ par_shapes__connect(scene, m, slices);
+ } else {
+ par_shapes_merge(scene, m);
+ }
+ par_shapes_free_mesh(m);
+ } else if (!strcmp(cmd->cmd, "call") && stackptr < maxdepth - 1) {
+ rule = par_shapes__pick_rule(cmd->arg, rules, nrules);
+ frame = &stack[++stackptr];
+ frame->rule = rule;
+ frame->orientation = par_shapes_clone(turtle, 0);
+ frame->pc = 0;
+ par_shapes__copy3(frame->scale, scale);
+ par_shapes__copy3(frame->position, position);
+ continue;
+ } else {
+ value = atof(cmd->arg);
+ if (!strcmp(cmd->cmd, "rx")) {
+ par_shapes_rotate(turtle, value * PAR_PI / 180.0, xaxis);
+ } else if (!strcmp(cmd->cmd, "ry")) {
+ par_shapes_rotate(turtle, value * PAR_PI / 180.0, yaxis);
+ } else if (!strcmp(cmd->cmd, "rz")) {
+ par_shapes_rotate(turtle, value * PAR_PI / 180.0, zaxis);
+ } else if (!strcmp(cmd->cmd, "tx")) {
+ float vec[3] = {value, 0, 0};
+ float t[3] = {
+ par_shapes__dot3(turtle->points + 0, vec),
+ par_shapes__dot3(turtle->points + 3, vec),
+ par_shapes__dot3(turtle->points + 6, vec)
+ };
+ par_shapes__add3(position, t);
+ } else if (!strcmp(cmd->cmd, "ty")) {
+ float vec[3] = {0, value, 0};
+ float t[3] = {
+ par_shapes__dot3(turtle->points + 0, vec),
+ par_shapes__dot3(turtle->points + 3, vec),
+ par_shapes__dot3(turtle->points + 6, vec)
+ };
+ par_shapes__add3(position, t);
+ } else if (!strcmp(cmd->cmd, "tz")) {
+ float vec[3] = {0, 0, value};
+ float t[3] = {
+ par_shapes__dot3(turtle->points + 0, vec),
+ par_shapes__dot3(turtle->points + 3, vec),
+ par_shapes__dot3(turtle->points + 6, vec)
+ };
+ par_shapes__add3(position, t);
+ } else if (!strcmp(cmd->cmd, "sx")) {
+ scale[0] *= value;
+ } else if (!strcmp(cmd->cmd, "sy")) {
+ scale[1] *= value;
+ } else if (!strcmp(cmd->cmd, "sz")) {
+ scale[2] *= value;
+ } else if (!strcmp(cmd->cmd, "sa")) {
+ scale[0] *= value;
+ scale[1] *= value;
+ scale[2] *= value;
+ }
+ }
+ }
+ PAR_FREE(stack);
+ PAR_FREE(program);
+ PAR_FREE(rules);
+ PAR_FREE(commands);
+ return scene;
+}
+
+void par_shapes_unweld(par_shapes_mesh* mesh, bool create_indices)
+{
+ int npoints = mesh->ntriangles * 3;
+ float* points = PAR_MALLOC(float, 3 * npoints);
+ float* dst = points;
+ PAR_SHAPES_T const* index = mesh->triangles;
+ for (int i = 0; i < npoints; i++) {
+ float const* src = mesh->points + 3 * (*index++);
+ *dst++ = src[0];
+ *dst++ = src[1];
+ *dst++ = src[2];
+ }
+ PAR_FREE(mesh->points);
+ mesh->points = points;
+ mesh->npoints = npoints;
+ if (create_indices) {
+ PAR_SHAPES_T* tris = PAR_MALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles);
+ PAR_SHAPES_T* index = tris;
+ for (int i = 0; i < mesh->ntriangles * 3; i++) {
+ *index++ = i;
+ }
+ PAR_FREE(mesh->triangles);
+ mesh->triangles = tris;
+ }
+}
+
+void par_shapes_compute_normals(par_shapes_mesh* m)
+{
+ PAR_FREE(m->normals);
+ m->normals = PAR_CALLOC(float, m->npoints * 3);
+ PAR_SHAPES_T const* triangle = m->triangles;
+ float next[3], prev[3], cp[3];
+ for (int f = 0; f < m->ntriangles; f++, triangle += 3) {
+ float const* pa = m->points + 3 * triangle[0];
+ float const* pb = m->points + 3 * triangle[1];
+ float const* pc = m->points + 3 * triangle[2];
+ par_shapes__copy3(next, pb);
+ par_shapes__subtract3(next, pa);
+ par_shapes__copy3(prev, pc);
+ par_shapes__subtract3(prev, pa);
+ par_shapes__cross3(cp, next, prev);
+ par_shapes__add3(m->normals + 3 * triangle[0], cp);
+ par_shapes__copy3(next, pc);
+ par_shapes__subtract3(next, pb);
+ par_shapes__copy3(prev, pa);
+ par_shapes__subtract3(prev, pb);
+ par_shapes__cross3(cp, next, prev);
+ par_shapes__add3(m->normals + 3 * triangle[1], cp);
+ par_shapes__copy3(next, pa);
+ par_shapes__subtract3(next, pc);
+ par_shapes__copy3(prev, pb);
+ par_shapes__subtract3(prev, pc);
+ par_shapes__cross3(cp, next, prev);
+ par_shapes__add3(m->normals + 3 * triangle[2], cp);
+ }
+ float* normal = m->normals;
+ for (int p = 0; p < m->npoints; p++, normal += 3) {
+ par_shapes__normalize3(normal);
+ }
+}
+
+static void par_shapes__subdivide(par_shapes_mesh* mesh)
+{
+ assert(mesh->npoints == mesh->ntriangles * 3 && "Must be unwelded.");
+ int ntriangles = mesh->ntriangles * 4;
+ int npoints = ntriangles * 3;
+ float* points = PAR_CALLOC(float, npoints * 3);
+ float* dpoint = points;
+ float const* spoint = mesh->points;
+ for (int t = 0; t < mesh->ntriangles; t++, spoint += 9, dpoint += 3) {
+ float const* a = spoint;
+ float const* b = spoint + 3;
+ float const* c = spoint + 6;
+ float const* p0 = dpoint;
+ float const* p1 = dpoint + 3;
+ float const* p2 = dpoint + 6;
+ par_shapes__mix3(dpoint, a, b, 0.5);
+ par_shapes__mix3(dpoint += 3, b, c, 0.5);
+ par_shapes__mix3(dpoint += 3, a, c, 0.5);
+ par_shapes__add3(dpoint += 3, a);
+ par_shapes__add3(dpoint += 3, p0);
+ par_shapes__add3(dpoint += 3, p2);
+ par_shapes__add3(dpoint += 3, p0);
+ par_shapes__add3(dpoint += 3, b);
+ par_shapes__add3(dpoint += 3, p1);
+ par_shapes__add3(dpoint += 3, p2);
+ par_shapes__add3(dpoint += 3, p1);
+ par_shapes__add3(dpoint += 3, c);
+ }
+ PAR_FREE(mesh->points);
+ mesh->points = points;
+ mesh->npoints = npoints;
+ mesh->ntriangles = ntriangles;
+}
+
+par_shapes_mesh* par_shapes_create_subdivided_sphere(int nsubd)
+{
+ par_shapes_mesh* mesh = par_shapes_create_icosahedron();
+ par_shapes_unweld(mesh, false);
+ PAR_FREE(mesh->triangles);
+ mesh->triangles = 0;
+ while (nsubd--) {
+ par_shapes__subdivide(mesh);
+ }
+ for (int i = 0; i < mesh->npoints; i++) {
+ par_shapes__normalize3(mesh->points + i * 3);
+ }
+ mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles);
+ for (int i = 0; i < mesh->ntriangles * 3; i++) {
+ mesh->triangles[i] = i;
+ }
+ par_shapes_mesh* tmp = mesh;
+ mesh = par_shapes_weld(mesh, 0.01, 0);
+ par_shapes_free_mesh(tmp);
+ par_shapes_compute_normals(mesh);
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_create_rock(int seed, int subd)
+{
+ par_shapes_mesh* mesh = par_shapes_create_subdivided_sphere(subd);
+ struct osn_context* ctx;
+ par__simplex_noise(seed, &ctx);
+ for (int p = 0; p < mesh->npoints; p++) {
+ float* pt = mesh->points + p * 3;
+ float a = 0.25, f = 1.0;
+ double n = a * par__simplex_noise2(ctx, f * pt[0], f * pt[2]);
+ a *= 0.5; f *= 2;
+ n += a * par__simplex_noise2(ctx, f * pt[0], f * pt[2]);
+ pt[0] *= 1 + 2 * n;
+ pt[1] *= 1 + n;
+ pt[2] *= 1 + 2 * n;
+ if (pt[1] < 0) {
+ pt[1] = -pow(-pt[1], 0.5) / 2;
+ }
+ }
+ par__simplex_noise_free(ctx);
+ par_shapes_compute_normals(mesh);
+ return mesh;
+}
+
+par_shapes_mesh* par_shapes_clone(par_shapes_mesh const* mesh,
+ par_shapes_mesh* clone)
+{
+ if (!clone) {
+ clone = PAR_CALLOC(par_shapes_mesh, 1);
+ }
+ clone->npoints = mesh->npoints;
+ clone->points = PAR_REALLOC(float, clone->points, 3 * clone->npoints);
+ memcpy(clone->points, mesh->points, sizeof(float) * 3 * clone->npoints);
+ clone->ntriangles = mesh->ntriangles;
+ clone->triangles = PAR_REALLOC(PAR_SHAPES_T, clone->triangles, 3 *
+ clone->ntriangles);
+ memcpy(clone->triangles, mesh->triangles,
+ sizeof(PAR_SHAPES_T) * 3 * clone->ntriangles);
+ if (mesh->normals) {
+ clone->normals = PAR_REALLOC(float, clone->normals, 3 * clone->npoints);
+ memcpy(clone->normals, mesh->normals,
+ sizeof(float) * 3 * clone->npoints);
+ }
+ if (mesh->tcoords) {
+ clone->tcoords = PAR_REALLOC(float, clone->tcoords, 2 * clone->npoints);
+ memcpy(clone->tcoords, mesh->tcoords,
+ sizeof(float) * 2 * clone->npoints);
+ }
+ return clone;
+}
+
+static struct {
+ float const* points;
+ int gridsize;
+} par_shapes__sort_context;
+
+static int par_shapes__cmp1(const void *arg0, const void *arg1)
+{
+ const int g = par_shapes__sort_context.gridsize;
+
+ // Convert arg0 into a flattened grid index.
+ PAR_SHAPES_T d0 = *(const PAR_SHAPES_T*) arg0;
+ float const* p0 = par_shapes__sort_context.points + d0 * 3;
+ int i0 = (int) p0[0];
+ int j0 = (int) p0[1];
+ int k0 = (int) p0[2];
+ int index0 = i0 + g * j0 + g * g * k0;
+
+ // Convert arg1 into a flattened grid index.
+ PAR_SHAPES_T d1 = *(const PAR_SHAPES_T*) arg1;
+ float const* p1 = par_shapes__sort_context.points + d1 * 3;
+ int i1 = (int) p1[0];
+ int j1 = (int) p1[1];
+ int k1 = (int) p1[2];
+ int index1 = i1 + g * j1 + g * g * k1;
+
+ // Return the ordering.
+ if (index0 < index1) return -1;
+ if (index0 > index1) return 1;
+ return 0;
+}
+
+static void par_shapes__sort_points(par_shapes_mesh* mesh, int gridsize,
+ PAR_SHAPES_T* sortmap)
+{
+ // Run qsort over a list of consecutive integers that get deferenced
+ // within the comparator function; this creates a reorder mapping.
+ for (int i = 0; i < mesh->npoints; i++) {
+ sortmap[i] = i;
+ }
+ par_shapes__sort_context.gridsize = gridsize;
+ par_shapes__sort_context.points = mesh->points;
+ qsort(sortmap, mesh->npoints, sizeof(PAR_SHAPES_T), par_shapes__cmp1);
+
+ // Apply the reorder mapping to the XYZ coordinate data.
+ float* newpts = PAR_MALLOC(float, mesh->npoints * 3);
+ PAR_SHAPES_T* invmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints);
+ float* dstpt = newpts;
+ for (int i = 0; i < mesh->npoints; i++) {
+ invmap[sortmap[i]] = i;
+ float const* srcpt = mesh->points + 3 * sortmap[i];
+ *dstpt++ = *srcpt++;
+ *dstpt++ = *srcpt++;
+ *dstpt++ = *srcpt++;
+ }
+ PAR_FREE(mesh->points);
+ mesh->points = newpts;
+
+ // Apply the inverse reorder mapping to the triangle indices.
+ PAR_SHAPES_T* newinds = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3);
+ PAR_SHAPES_T* dstind = newinds;
+ PAR_SHAPES_T const* srcind = mesh->triangles;
+ for (int i = 0; i < mesh->ntriangles * 3; i++) {
+ *dstind++ = invmap[*srcind++];
+ }
+ PAR_FREE(mesh->triangles);
+ mesh->triangles = newinds;
+
+ // Cleanup.
+ memcpy(sortmap, invmap, sizeof(PAR_SHAPES_T) * mesh->npoints);
+ PAR_FREE(invmap);
+}
+
+static void par_shapes__weld_points(par_shapes_mesh* mesh, int gridsize,
+ float epsilon, PAR_SHAPES_T* weldmap)
+{
+ // Each bin contains a "pointer" (really an index) to its first point.
+ // We add 1 because 0 is reserved to mean that the bin is empty.
+ // Since the points are spatially sorted, there's no need to store
+ // a point count in each bin.
+ PAR_SHAPES_T* bins = PAR_CALLOC(PAR_SHAPES_T,
+ gridsize * gridsize * gridsize);
+ int prev_binindex = -1;
+ for (int p = 0; p < mesh->npoints; p++) {
+ float const* pt = mesh->points + p * 3;
+ int i = (int) pt[0];
+ int j = (int) pt[1];
+ int k = (int) pt[2];
+ int this_binindex = i + gridsize * j + gridsize * gridsize * k;
+ if (this_binindex != prev_binindex) {
+ bins[this_binindex] = 1 + p;
+ }
+ prev_binindex = this_binindex;
+ }
+
+ // Examine all bins that intersect the epsilon-sized cube centered at each
+ // point, and check for colocated points within those bins.
+ float const* pt = mesh->points;
+ int nremoved = 0;
+ for (int p = 0; p < mesh->npoints; p++, pt += 3) {
+
+ // Skip if this point has already been welded.
+ if (weldmap[p] != p) {
+ continue;
+ }
+
+ // Build a list of bins that intersect the epsilon-sized cube.
+ int nearby[8];
+ int nbins = 0;
+ int minp[3], maxp[3];
+ for (int c = 0; c < 3; c++) {
+ minp[c] = (int) (pt[c] - epsilon);
+ maxp[c] = (int) (pt[c] + epsilon);
+ }
+ for (int i = minp[0]; i <= maxp[0]; i++) {
+ for (int j = minp[1]; j <= maxp[1]; j++) {
+ for (int k = minp[2]; k <= maxp[2]; k++) {
+ int binindex = i + gridsize * j + gridsize * gridsize * k;
+ PAR_SHAPES_T binvalue = *(bins + binindex);
+ if (binvalue > 0) {
+ if (nbins == 8) {
+ //printf("Epsilon value is too large.\n");
+ break;
+ }
+ nearby[nbins++] = binindex;
+ }
+ }
+ }
+ }
+
+ // Check for colocated points in each nearby bin.
+ for (int b = 0; b < nbins; b++) {
+ int binindex = nearby[b];
+ PAR_SHAPES_T binvalue = *(bins + binindex);
+ PAR_SHAPES_T nindex = binvalue - 1;
+ while (true) {
+
+ // If this isn't "self" and it's colocated, then weld it!
+ if (nindex != p && weldmap[nindex] == nindex) {
+ float const* thatpt = mesh->points + nindex * 3;
+ float dist2 = par_shapes__sqrdist3(thatpt, pt);
+ if (dist2 < epsilon) {
+ weldmap[nindex] = p;
+ nremoved++;
+ }
+ }
+
+ // Advance to the next point if possible.
+ if (++nindex >= mesh->npoints) {
+ break;
+ }
+
+ // If the next point is outside the bin, then we're done.
+ float const* nextpt = mesh->points + nindex * 3;
+ int i = (int) nextpt[0];
+ int j = (int) nextpt[1];
+ int k = (int) nextpt[2];
+ int nextbinindex = i + gridsize * j + gridsize * gridsize * k;
+ if (nextbinindex != binindex) {
+ break;
+ }
+ }
+ }
+ }
+ PAR_FREE(bins);
+
+ // Apply the weldmap to the vertices.
+ int npoints = mesh->npoints - nremoved;
+ float* newpts = PAR_MALLOC(float, 3 * npoints);
+ float* dst = newpts;
+ PAR_SHAPES_T* condensed_map = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints);
+ PAR_SHAPES_T* cmap = condensed_map;
+ float const* src = mesh->points;
+ int ci = 0;
+ for (int p = 0; p < mesh->npoints; p++, src += 3) {
+ if (weldmap[p] == p) {
+ *dst++ = src[0];
+ *dst++ = src[1];
+ *dst++ = src[2];
+ *cmap++ = ci++;
+ } else {
+ *cmap++ = condensed_map[weldmap[p]];
+ }
+ }
+ assert(ci == npoints);
+ PAR_FREE(mesh->points);
+ memcpy(weldmap, condensed_map, mesh->npoints * sizeof(PAR_SHAPES_T));
+ PAR_FREE(condensed_map);
+ mesh->points = newpts;
+ mesh->npoints = npoints;
+
+ // Apply the weldmap to the triangle indices and skip the degenerates.
+ PAR_SHAPES_T const* tsrc = mesh->triangles;
+ PAR_SHAPES_T* tdst = mesh->triangles;
+ int ntriangles = 0;
+ for (int i = 0; i < mesh->ntriangles; i++, tsrc += 3) {
+ PAR_SHAPES_T a = weldmap[tsrc[0]];
+ PAR_SHAPES_T b = weldmap[tsrc[1]];
+ PAR_SHAPES_T c = weldmap[tsrc[2]];
+ if (a != b && a != c && b != c) {
+ *tdst++ = a;
+ *tdst++ = b;
+ *tdst++ = c;
+ ntriangles++;
+ }
+ }
+ mesh->ntriangles = ntriangles;
+}
+
+par_shapes_mesh* par_shapes_weld(par_shapes_mesh const* mesh, float epsilon,
+ PAR_SHAPES_T* weldmap)
+{
+ par_shapes_mesh* clone = par_shapes_clone(mesh, 0);
+ float aabb[6];
+ int gridsize = 20;
+ float maxcell = gridsize - 1;
+ par_shapes_compute_aabb(clone, aabb);
+ float scale[3] = {
+ aabb[3] == aabb[0] ? 1.0f : maxcell / (aabb[3] - aabb[0]),
+ aabb[4] == aabb[1] ? 1.0f : maxcell / (aabb[4] - aabb[1]),
+ aabb[5] == aabb[2] ? 1.0f : maxcell / (aabb[5] - aabb[2]),
+ };
+ par_shapes_translate(clone, -aabb[0], -aabb[1], -aabb[2]);
+ par_shapes_scale(clone, scale[0], scale[1], scale[2]);
+ PAR_SHAPES_T* sortmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints);
+ par_shapes__sort_points(clone, gridsize, sortmap);
+ bool owner = false;
+ if (!weldmap) {
+ owner = true;
+ weldmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints);
+ }
+ for (int i = 0; i < mesh->npoints; i++) {
+ weldmap[i] = i;
+ }
+ par_shapes__weld_points(clone, gridsize, epsilon, weldmap);
+ if (owner) {
+ PAR_FREE(weldmap);
+ } else {
+ PAR_SHAPES_T* newmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints);
+ for (int i = 0; i < mesh->npoints; i++) {
+ newmap[i] = weldmap[sortmap[i]];
+ }
+ memcpy(weldmap, newmap, sizeof(PAR_SHAPES_T) * mesh->npoints);
+ PAR_FREE(newmap);
+ }
+ PAR_FREE(sortmap);
+ par_shapes_scale(clone, 1.0 / scale[0], 1.0 / scale[1], 1.0 / scale[2]);
+ par_shapes_translate(clone, aabb[0], aabb[1], aabb[2]);
+ return clone;
+}
+
+// -----------------------------------------------------------------------------
+// BEGIN OPEN SIMPLEX NOISE
+// -----------------------------------------------------------------------------
+
+#define STRETCH_CONSTANT_2D (-0.211324865405187) // (1 / sqrt(2 + 1) - 1 ) / 2;
+#define SQUISH_CONSTANT_2D (0.366025403784439) // (sqrt(2 + 1) -1) / 2;
+#define STRETCH_CONSTANT_3D (-1.0 / 6.0) // (1 / sqrt(3 + 1) - 1) / 3;
+#define SQUISH_CONSTANT_3D (1.0 / 3.0) // (sqrt(3+1)-1)/3;
+#define STRETCH_CONSTANT_4D (-0.138196601125011) // (1 / sqrt(4 + 1) - 1) / 4;
+#define SQUISH_CONSTANT_4D (0.309016994374947) // (sqrt(4 + 1) - 1) / 4;
+
+#define NORM_CONSTANT_2D (47.0)
+#define NORM_CONSTANT_3D (103.0)
+#define NORM_CONSTANT_4D (30.0)
+
+#define DEFAULT_SEED (0LL)
+
+struct osn_context {
+ int16_t* perm;
+ int16_t* permGradIndex3D;
+};
+
+#define ARRAYSIZE(x) (sizeof((x)) / sizeof((x)[0]))
+
+/*
+ * Gradients for 2D. They approximate the directions to the
+ * vertices of an octagon from the center.
+ */
+static const int8_t gradients2D[] = {
+ 5, 2, 2, 5, -5, 2, -2, 5, 5, -2, 2, -5, -5, -2, -2, -5,
+};
+
+/*
+ * Gradients for 3D. They approximate the directions to the
+ * vertices of a rhombicuboctahedron from the center, skewed so
+ * that the triangular and square facets can be inscribed inside
+ * circles of the same radius.
+ */
+static const signed char gradients3D[] = {
+ -11, 4, 4, -4, 11, 4, -4, 4, 11, 11, 4, 4, 4, 11, 4, 4, 4, 11, -11, -4, 4,
+ -4, -11, 4, -4, -4, 11, 11, -4, 4, 4, -11, 4, 4, -4, 11, -11, 4, -4, -4, 11,
+ -4, -4, 4, -11, 11, 4, -4, 4, 11, -4, 4, 4, -11, -11, -4, -4, -4, -11, -4,
+ -4, -4, -11, 11, -4, -4, 4, -11, -4, 4, -4, -11,
+};
+
+/*
+ * Gradients for 4D. They approximate the directions to the
+ * vertices of a disprismatotesseractihexadecachoron from the center,
+ * skewed so that the tetrahedral and cubic facets can be inscribed inside
+ * spheres of the same radius.
+ */
+static const signed char gradients4D[] = {
+ 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, -3, 1, 1, 1, -1, 3, 1, 1,
+ -1, 1, 3, 1, -1, 1, 1, 3, 3, -1, 1, 1, 1, -3, 1, 1, 1, -1, 3, 1, 1, -1, 1,
+ 3, -3, -1, 1, 1, -1, -3, 1, 1, -1, -1, 3, 1, -1, -1, 1, 3, 3, 1, -1, 1, 1,
+ 3, -1, 1, 1, 1, -3, 1, 1, 1, -1, 3, -3, 1, -1, 1, -1, 3, -1, 1, -1, 1, -3,
+ 1, -1, 1, -1, 3, 3, -1, -1, 1, 1, -3, -1, 1, 1, -1, -3, 1, 1, -1, -1, 3, -3,
+ -1, -1, 1, -1, -3, -1, 1, -1, -1, -3, 1, -1, -1, -1, 3, 3, 1, 1, -1, 1, 3,
+ 1, -1, 1, 1, 3, -1, 1, 1, 1, -3, -3, 1, 1, -1, -1, 3, 1, -1, -1, 1, 3, -1,
+ -1, 1, 1, -3, 3, -1, 1, -1, 1, -3, 1, -1, 1, -1, 3, -1, 1, -1, 1, -3, -3,
+ -1, 1, -1, -1, -3, 1, -1, -1, -1, 3, -1, -1, -1, 1, -3, 3, 1, -1, -1, 1, 3,
+ -1, -1, 1, 1, -3, -1, 1, 1, -1, -3, -3, 1, -1, -1, -1, 3, -1, -1, -1, 1, -3,
+ -1, -1, 1, -1, -3, 3, -1, -1, -1, 1, -3, -1, -1, 1, -1, -3, -1, 1, -1, -1,
+ -3, -3, -1, -1, -1, -1, -3, -1, -1, -1, -1, -3, -1, -1, -1, -1, -3,
+};
+
+static double extrapolate2(
+ struct osn_context* ctx, int xsb, int ysb, double dx, double dy)
+{
+ int16_t* perm = ctx->perm;
+ int index = perm[(perm[xsb & 0xFF] + ysb) & 0xFF] & 0x0E;
+ return gradients2D[index] * dx + gradients2D[index + 1] * dy;
+}
+
+static inline int fastFloor(double x)
+{
+ int xi = (int) x;
+ return x < xi ? xi - 1 : xi;
+}
+
+static int allocate_perm(struct osn_context* ctx, int nperm, int ngrad)
+{
+ PAR_FREE(ctx->perm);
+ PAR_FREE(ctx->permGradIndex3D);
+ ctx->perm = PAR_MALLOC(int16_t, nperm);
+ if (!ctx->perm) {
+ return -ENOMEM;
+ }
+ ctx->permGradIndex3D = PAR_MALLOC(int16_t, ngrad);
+ if (!ctx->permGradIndex3D) {
+ PAR_FREE(ctx->perm);
+ return -ENOMEM;
+ }
+ return 0;
+}
+
+static int par__simplex_noise(int64_t seed, struct osn_context** ctx)
+{
+ int rc;
+ int16_t source[256];
+ int i;
+ int16_t* perm;
+ int16_t* permGradIndex3D;
+ *ctx = PAR_MALLOC(struct osn_context, 1);
+ if (!(*ctx)) {
+ return -ENOMEM;
+ }
+ (*ctx)->perm = NULL;
+ (*ctx)->permGradIndex3D = NULL;
+ rc = allocate_perm(*ctx, 256, 256);
+ if (rc) {
+ PAR_FREE(*ctx);
+ return rc;
+ }
+ perm = (*ctx)->perm;
+ permGradIndex3D = (*ctx)->permGradIndex3D;
+ for (i = 0; i < 256; i++) {
+ source[i] = (int16_t) i;
+ }
+ seed = seed * 6364136223846793005LL + 1442695040888963407LL;
+ seed = seed * 6364136223846793005LL + 1442695040888963407LL;
+ seed = seed * 6364136223846793005LL + 1442695040888963407LL;
+ for (i = 255; i >= 0; i--) {
+ seed = seed * 6364136223846793005LL + 1442695040888963407LL;
+ int r = (int) ((seed + 31) % (i + 1));
+ if (r < 0)
+ r += (i + 1);
+ perm[i] = source[r];
+ permGradIndex3D[i] =
+ (short) ((perm[i] % (ARRAYSIZE(gradients3D) / 3)) * 3);
+ source[r] = source[i];
+ }
+ return 0;
+}
+
+static void par__simplex_noise_free(struct osn_context* ctx)
+{
+ if (!ctx)
+ return;
+ if (ctx->perm) {
+ PAR_FREE(ctx->perm);
+ ctx->perm = NULL;
+ }
+ if (ctx->permGradIndex3D) {
+ PAR_FREE(ctx->permGradIndex3D);
+ ctx->permGradIndex3D = NULL;
+ }
+ PAR_FREE(ctx);
+}
+
+static double par__simplex_noise2(struct osn_context* ctx, double x, double y)
+{
+ // Place input coordinates onto grid.
+ double stretchOffset = (x + y) * STRETCH_CONSTANT_2D;
+ double xs = x + stretchOffset;
+ double ys = y + stretchOffset;
+
+ // Floor to get grid coordinates of rhombus (stretched square) super-cell
+ // origin.
+ int xsb = fastFloor(xs);
+ int ysb = fastFloor(ys);
+
+ // Skew out to get actual coordinates of rhombus origin. We'll need these
+ // later.
+ double squishOffset = (xsb + ysb) * SQUISH_CONSTANT_2D;
+ double xb = xsb + squishOffset;
+ double yb = ysb + squishOffset;
+
+ // Compute grid coordinates relative to rhombus origin.
+ double xins = xs - xsb;
+ double yins = ys - ysb;
+
+ // Sum those together to get a value that determines which region we're in.
+ double inSum = xins + yins;
+
+ // Positions relative to origin point.
+ double dx0 = x - xb;
+ double dy0 = y - yb;
+
+ // We'll be defining these inside the next block and using them afterwards.
+ double dx_ext, dy_ext;
+ int xsv_ext, ysv_ext;
+
+ double value = 0;
+
+ // Contribution (1,0)
+ double dx1 = dx0 - 1 - SQUISH_CONSTANT_2D;
+ double dy1 = dy0 - 0 - SQUISH_CONSTANT_2D;
+ double attn1 = 2 - dx1 * dx1 - dy1 * dy1;
+ if (attn1 > 0) {
+ attn1 *= attn1;
+ value += attn1 * attn1 * extrapolate2(ctx, xsb + 1, ysb + 0, dx1, dy1);
+ }
+
+ // Contribution (0,1)
+ double dx2 = dx0 - 0 - SQUISH_CONSTANT_2D;
+ double dy2 = dy0 - 1 - SQUISH_CONSTANT_2D;
+ double attn2 = 2 - dx2 * dx2 - dy2 * dy2;
+ if (attn2 > 0) {
+ attn2 *= attn2;
+ value += attn2 * attn2 * extrapolate2(ctx, xsb + 0, ysb + 1, dx2, dy2);
+ }
+
+ if (inSum <= 1) { // We're inside the triangle (2-Simplex) at (0,0)
+ double zins = 1 - inSum;
+ if (zins > xins || zins > yins) {
+ if (xins > yins) {
+ xsv_ext = xsb + 1;
+ ysv_ext = ysb - 1;
+ dx_ext = dx0 - 1;
+ dy_ext = dy0 + 1;
+ } else {
+ xsv_ext = xsb - 1;
+ ysv_ext = ysb + 1;
+ dx_ext = dx0 + 1;
+ dy_ext = dy0 - 1;
+ }
+ } else { //(1,0) and (0,1) are the closest two vertices.
+ xsv_ext = xsb + 1;
+ ysv_ext = ysb + 1;
+ dx_ext = dx0 - 1 - 2 * SQUISH_CONSTANT_2D;
+ dy_ext = dy0 - 1 - 2 * SQUISH_CONSTANT_2D;
+ }
+ } else { // We're inside the triangle (2-Simplex) at (1,1)
+ double zins = 2 - inSum;
+ if (zins < xins || zins < yins) {
+ if (xins > yins) {
+ xsv_ext = xsb + 2;
+ ysv_ext = ysb + 0;
+ dx_ext = dx0 - 2 - 2 * SQUISH_CONSTANT_2D;
+ dy_ext = dy0 + 0 - 2 * SQUISH_CONSTANT_2D;
+ } else {
+ xsv_ext = xsb + 0;
+ ysv_ext = ysb + 2;
+ dx_ext = dx0 + 0 - 2 * SQUISH_CONSTANT_2D;
+ dy_ext = dy0 - 2 - 2 * SQUISH_CONSTANT_2D;
+ }
+ } else { //(1,0) and (0,1) are the closest two vertices.
+ dx_ext = dx0;
+ dy_ext = dy0;
+ xsv_ext = xsb;
+ ysv_ext = ysb;
+ }
+ xsb += 1;
+ ysb += 1;
+ dx0 = dx0 - 1 - 2 * SQUISH_CONSTANT_2D;
+ dy0 = dy0 - 1 - 2 * SQUISH_CONSTANT_2D;
+ }
+
+ // Contribution (0,0) or (1,1)
+ double attn0 = 2 - dx0 * dx0 - dy0 * dy0;
+ if (attn0 > 0) {
+ attn0 *= attn0;
+ value += attn0 * attn0 * extrapolate2(ctx, xsb, ysb, dx0, dy0);
+ }
+
+ // Extra Vertex
+ double attn_ext = 2 - dx_ext * dx_ext - dy_ext * dy_ext;
+ if (attn_ext > 0) {
+ attn_ext *= attn_ext;
+ value += attn_ext * attn_ext *
+ extrapolate2(ctx, xsv_ext, ysv_ext, dx_ext, dy_ext);
+ }
+
+ return value / NORM_CONSTANT_2D;
+}
+
+void par_shapes_remove_degenerate(par_shapes_mesh* mesh, float mintriarea)
+{
+ int ntriangles = 0;
+ PAR_SHAPES_T* triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3);
+ PAR_SHAPES_T* dst = triangles;
+ PAR_SHAPES_T const* src = mesh->triangles;
+ float next[3], prev[3], cp[3];
+ float mincplen2 = (mintriarea * 2) * (mintriarea * 2);
+ for (int f = 0; f < mesh->ntriangles; f++, src += 3) {
+ float const* pa = mesh->points + 3 * src[0];
+ float const* pb = mesh->points + 3 * src[1];
+ float const* pc = mesh->points + 3 * src[2];
+ par_shapes__copy3(next, pb);
+ par_shapes__subtract3(next, pa);
+ par_shapes__copy3(prev, pc);
+ par_shapes__subtract3(prev, pa);
+ par_shapes__cross3(cp, next, prev);
+ float cplen2 = par_shapes__dot3(cp, cp);
+ if (cplen2 >= mincplen2) {
+ *dst++ = src[0];
+ *dst++ = src[1];
+ *dst++ = src[2];
+ ntriangles++;
+ }
+ }
+ mesh->ntriangles = ntriangles;
+ PAR_FREE(mesh->triangles);
+ mesh->triangles = triangles;
+}
+
+#endif // PAR_SHAPES_IMPLEMENTATION
+#endif // PAR_SHAPES_H
projects / pistorm / blobdiff