path: root/rings.c

/*
 * Copyright © 2009 Eric Anholt
 * Copyright © 2009 Ian D. Romanick
 *
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the "Software"),
 * to deal in the Software without restriction, including without limitation
 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
 * and/or sell copies of the Software, and to permit persons to whom the
 * Software is furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice (including the next
 * paragraph) shall be included in all copies or substantial portions of the
 * Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
 * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
 * IN THE SOFTWARE.
 *
 * Authors:
 *    Eric Anholt <eric@anholt.net>
 *
 */

#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <err.h>
#include <errno.h>
#include <assert.h>
#include <sys/time.h>
#include <sys/stat.h>
#include <getopt.h>

#include "glass.h"

static GLuint normalmap_tex, heightmap_tex;
struct revolved_object ring;
GLUvec4 ring_bounding_sphere_center_world;
float ring_bounding_sphere_radius;

static void
install_transform(int instance)
{
	GLUmat4 mv, mvp, light_mvp;

	/* Generate the whole mvp */
	gluMult4m_4m(&mv, &world_to_eye, &ring_obj_to_world[instance]);
	gluMult4m_4m(&mvp, &projection, &mv);
	gluMult4m_4m(&light_mvp, &world_to_shadow_texcoords,
		     &ring_obj_to_world[instance]);
	glUniformMatrix4fv(uniforms[UNIFORM_MV].location, 1, 0,
			   (float *)&mv);
	glUniformMatrix4fv(uniforms[UNIFORM_MVP].location, 1, 0,
			   (float *)&mvp);
	glUniformMatrix4fv(uniforms[UNIFORM_LIGHT_MVP].location, 1, 0,
			   (float *)&light_mvp);
}

void
do_ring_drawelements(void)
{
	glDrawElements(GL_TRIANGLE_STRIP,
		       ring.num_verts * (ring.num_steps * 2 + 2),
		       GL_UNSIGNED_INT,
		       (void *)(uintptr_t)ring.elements_offset);
}

void
draw_rings(void)
{
	int instance;

	glActiveTexture(GL_TEXTURE0);
	glBindTexture(GL_TEXTURE_2D, normalmap_tex);
	glEnable(GL_TEXTURE_2D);
	glActiveTexture(GL_TEXTURE1);
	glBindTexture(GL_TEXTURE_2D, heightmap_tex);
	glEnable(GL_TEXTURE_2D);
	glActiveTexture(GL_TEXTURE2);
	glBindTexture(GL_TEXTURE_2D, shadow_tex);
	glEnable(GL_TEXTURE_2D);

	if (glass_prog != 0) {
		glUseProgram(glass_prog);
		glUniform3fv(uniforms[UNIFORM_LIGHT_EYE].location, 1,
			     light_eye.values);

		glBindVertexArray(ring.array_obj);
		glBindBuffer(GL_ELEMENT_ARRAY_BUFFER_ARB, ring.vbo);
		for (instance = 0; instance < NUM_RINGS; instance++) {
			install_transform(instance);
			do_ring_drawelements();
		}
	}
	glActiveTexture(GL_TEXTURE0);
	glDisable(GL_TEXTURE_2D);
	glActiveTexture(GL_TEXTURE1);
	glDisable(GL_TEXTURE_2D);
	glActiveTexture(GL_TEXTURE2);
	glDisable(GL_TEXTURE_2D);
}


void
update_brdf_constants(void)
{
	float ni = 1.5; /* index of refraction */
	/* Fresnel coefficient at normal (theta = 0) */
	float F0 = ((ni - 1) * (ni - 1)) / ((ni + 1) * (ni + 1));
	/* brushed metal */
	float ward_n = .037;
	float ward_m = .063;
	float ward_mm_inv = 1.0 / (ward_m * ward_m);
	float ward_mn_inv = 1.0 / (ward_m * ward_n);
	float ward_nn_inv = 1.0 / (ward_n * ward_n);

	glUniform1f(uniforms[UNIFORM_NI].location, ni);
	glUniform1f(uniforms[UNIFORM_F0].location, F0);
	glUniform1f(uniforms[UNIFORM_WARD_MM_INV].location, ward_mm_inv);
	glUniform1f(uniforms[UNIFORM_WARD_MN_INV].location, ward_mn_inv);
	glUniform1f(uniforms[UNIFORM_WARD_NN_INV].location, ward_nn_inv);
}

/* Perform a sinusoidal weighting of v1 vs v2's components over steps,
 * outputting to verts.
 */
static void
interp_corner_verts(float *verts,
		    float v1x, float v1y,
		    float v2x, float v2y,
		    int num_verts, int y_oriented)
{
	int i;

	for (i = 0; i < num_verts; i++) {
		float smooth1 = 1 - cos((float)i / (num_verts - 1) * M_PI / 2);
		float smooth2 = sin((float)i / (num_verts - 1) * M_PI / 2);

		if (y_oriented) {
			verts[i * 2 + 0] = v1x + (v2x - v1x) * smooth1;
			verts[i * 2 + 1] = v1y + (v2y - v1y) * smooth2;
		} else {
			verts[i * 2 + 0] = v1x + (v2x - v1x) * smooth2;
			verts[i * 2 + 1] = v1y + (v2y - v1y) * smooth1;
		}
		/*
		printf("%7.4f %7.4f\n", verts[i * 2 + 0], verts[i * 2 + 1]);
		 */
	}
}


/* Generate a rounded rectangle:
 *         |top_flat|
 *    _    __________
 *    |   /          \    _
 *   h|  |            |   | side_flat.
 *    |  |            |   _
 *0.0 _   \__________/
 *       |-----w------|
 *      0.0
 * The rounded bits are subdivided steps times. (steps = 0 means straight line
 * between the vertices).  The vertices are emitted in clockwise order.
 *
 * An additional vertex is generated along the flats near the corner
 * transitions so that automatic normal generation produces actual flat sides.
 */
static void
generate_rounded_rect_verts(float w, float h, float top_flat, float side_flat,
			    int steps, float **out_verts, int *out_num_verts)
{
	float *verts;
	int num_verts;
	float corner_x = (w - top_flat) / 2;
	float corner_y = (h - side_flat) / 2;
	float top_epsilon = top_flat / 100;
	float side_epsilon = side_flat / 100;
	int v;

	assert(w > top_flat);
	assert(h > side_flat);
	assert(steps > 0);

	num_verts = steps * 4 + 4 * 4;
	verts = malloc(num_verts * 2 * sizeof(float));
	if (verts == NULL)
		errx(1, "out of memory\n");

	v = 0;

#define ADDVERT(x, y) do {		\
	verts[v * 2 + 0] = x;		\
	verts[v * 2 + 1] = y;		\
	v++;				\
} while (0);

	/* left flat */
	ADDVERT(0, corner_y);
	ADDVERT(0, corner_y + side_epsilon);
	ADDVERT(0, h - corner_y - side_epsilon);
	ADDVERT(0, h - corner_y);

	/* TL corner */
	interp_corner_verts(&verts[v * 2],
			    0, h - corner_y,
			    corner_x, h,
			    steps, 1);
	v+= steps;

	/* top flat */
	ADDVERT(corner_x, h);
	ADDVERT(corner_x + top_epsilon, h);
	ADDVERT(w - corner_x - top_epsilon, h);
	ADDVERT(w - corner_x, h);

	/* TR corner */
	interp_corner_verts(&verts[v * 2],
			    w - corner_x, h,
			    w, h - corner_y,
			    steps, 0);
	v+= steps;

	/* right flat */
	ADDVERT(w, h - corner_y);
	ADDVERT(w, h - corner_y - side_epsilon);
	ADDVERT(w, corner_y + side_epsilon);
	ADDVERT(w, corner_y);

	/* BR corner */
	interp_corner_verts(&verts[v * 2],
			    w, corner_y,
			    w - corner_x, 0,
			    steps, 1);
	v+= steps;

	/* bottom flat */
	ADDVERT(w - corner_x, 0);
	ADDVERT(w - corner_x - top_epsilon, 0);
	ADDVERT(corner_x + top_epsilon, 0);
	ADDVERT(corner_x, 0);

	/* BL corner */
	interp_corner_verts(&verts[v * 2],
			    corner_x, 0,
			    0, corner_y,
			    steps, 0);
	v+= steps;

	*out_verts = verts;
	*out_num_verts = num_verts;
}

static void
revolve(const float *verts, unsigned int num_verts,
	unsigned int steps,  const float *translation_matrix,
	float *pos, float *norm, float *tangent, float *tex_coord,
	unsigned int *elements)
{
	int i, v, s;
	float verts4[num_verts * 4];
	float normals4[num_verts * 4];
	float texcoord_y[num_verts];
	float unrotated_tangent4[4];
	float texcoord_len = 0;

	/* calculate the radius of the ring. */
	for (i = 0; i < num_verts; i++) {
	}

	/* Calculate the 4-component vertex and normalized normal data
	 * that will be rotated around.
	 */
	ring.radius = 0;
	for (i = 0; i < num_verts; i++) {
		int v0; /* previous vertex */
		int v2; /* next vertex */
		float v0_v2[2], v1_v2[2], normal_len;
		float position[4], this_radius;

		/* Expand vertex data out to 4f, so we can use the same
		 * matrix functions.
		 */
		verts4[i * 4 + 0] = verts[i * 2 + 0];
		verts4[i * 4 + 1] = verts[i * 2 + 1];
		verts4[i * 4 + 2] = 0.0;
		verts4[i * 4 + 3] = 1.0;

		mult_m4_p4(position,
			   translation_matrix,
			   &verts4[i * 4]);
		this_radius = sqrt(position[0] * position[0] +
				   position[1] * position[1] +
				   position[2] * position[2]);
		if (this_radius > ring.radius)
			ring.radius = this_radius;

		if (i == 0)
			v0 = num_verts - 1;
		else
			v0 = i - 1;
		if (i == num_verts - 1)
			v2 = 0;
		else
			v2 = i + 1;

		v0_v2[0] = verts[v0 * 2 + 0] - verts[v2 * 2 + 0];
		v0_v2[1] = verts[v0 * 2 + 1] - verts[v2 * 2 + 1];
		v1_v2[0] = verts[i  * 2 + 0] - verts[v2 * 2 + 0];
		v1_v2[1] = verts[i  * 2 + 1] - verts[v2 * 2 + 1];

		/* Make up a normal for this vector by taking the perpendicular
		 * of the neighboring two points, and normalizing it.
		 */
		normal_len = sqrt(v0_v2[0] * v0_v2[0] + v0_v2[1] * v0_v2[1]);
		normals4[i * 4 + 0] = v0_v2[1];
		normals4[i * 4 + 1] = -v0_v2[0];
		normals4[i * 4 + 2] = 0.0;
		normals4[i * 4 + 3] = normal_len;

		/* Sum the distance between this vertex and the next and store
		 * in the texcoord.y array.  This way we get non-distorted
		 * mapping of texcoords to vertices even if they're unevenly
		 * distributed.
		 */
		texcoord_y[i] = texcoord_len;
		texcoord_len += sqrt(v1_v2[0] * v1_v2[0] + v1_v2[1] * v1_v2[1]);
	}

	/* Normalize texcoord.y to [0,1] range. */
	for (v = 0; v < num_verts; v++) {
		texcoord_y[v] /= texcoord_len;
	}

	/* Create a tangent vector pointing in the direction of the rotation. */
	unrotated_tangent4[0] = 0.0;
	unrotated_tangent4[1] = 0.0;
	unrotated_tangent4[2] = 1.0;
	unrotated_tangent4[3] = 1.0;

	/* Calculate the positions and normals */
	for (i = 0; i <= steps; i++) {
		int j;
		float position[4], normal[4];
		float rotation_matrix[16];
		float translate_rotate_matrix[16];
		float rotation_rads = ((float)i / steps) * 2 * M_PI;
		float tangent4[4];

		/* Calculate the rotation matrix for this step: */
		init_m4_y_rotate(rotation_matrix, rotation_rads);

		/* Concatenate the translation matrix for the vertices with our
		 * rotation matrix.
		 */
		mult_m4_m4(translate_rotate_matrix,
			   rotation_matrix,
			   translation_matrix);

		/* print_m4(translate_rotate_matrix, "tr matrix"); */

		mult_m4_p4(tangent4, rotation_matrix, unrotated_tangent4);
		tangent4[0] /= tangent4[3];
		tangent4[1] /= tangent4[3];
		tangent4[2] /= tangent4[3];
		tangent4[3] = 1.0;

		/* Apply it to each of the vertices to get the verts for this
		 * step.
		 */
		for (j = 0; j < num_verts; j++) {
			int vert_index = i * num_verts + j;

			mult_m4_p4(position,
				   translate_rotate_matrix,
				   &verts4[j * 4]);
			pos[vert_index * 3 + 0] = position[0] / position[3];
			pos[vert_index * 3 + 1] = position[1] / position[3];
			pos[vert_index * 3 + 2] = position[2] / position[3];
			/* translated_point[3] should be 1.0. */

			/*
			printf("vert %2d@%2d: (%7.4f, %7.4f, %7.4f) -> "
			       "(%7.4f, %7.4f, %7.4f)\n",
			       j, i,
			       verts4[j * 4],
			       verts4[j * 4 + 1],
			       verts4[j * 4 + 1],
			       result[0],
			       result[1],
			       result[2]);
			*/

			mult_m4_p4(normal, rotation_matrix, &normals4[j * 4]);
			norm[vert_index * 3 + 0] = normal[0] / normal[3];
			norm[vert_index * 3 + 1] = normal[1] / normal[3];
			norm[vert_index * 3 + 2] = normal[2] / normal[3];
			/*
			printf("norm: %7.4f %7.4f %7.4f %7.4f\n",
			       normal[0], normal[1], normal[2], normal[3]);
			*/

			tangent[vert_index * 3 + 0] = tangent4[0];
			tangent[vert_index * 3 + 1] = tangent4[1];
			tangent[vert_index * 3 + 2] = tangent4[2];

			tex_coord[vert_index * 2 + 0] = (float)i / steps * 4;
			tex_coord[vert_index * 2 + 1] = texcoord_y[j];
		}
	}

	/* Calculate the element data (indices).  We emit strips going
	 * around the ring (steps), where at the end of each strip we
	 * dupe the vert so we can keep the strip going back the other
	 * way without restarting the primitives.
	 */
	i = 0;
	for (v = 0; v < num_verts; v++) {
		int v0 = v;
		int v1 = (v + 1) % num_verts;

		for (s = 0; s <= steps; s++) {
			if (!(v & 1)) {
				elements[i++] = num_verts * s + v1;
				elements[i++] = num_verts * s + v0;
			} else {
				elements[i++] = num_verts * (s + 1) - 1 - v1;
				elements[i++] = num_verts * (s + 1) - 1 - v0;
			}
		}
		elements[i] = elements[i - 1];
		i++;
	}

	glBindVertexArray(ring.array_obj);
	glBindBuffer(GL_ARRAY_BUFFER_ARB, ring.vbo);
	glVertexPointer(3, GL_FLOAT, 0, (void *)(uintptr_t)ring.pos_offset);
	glEnable(GL_VERTEX_ARRAY);
	glNormalPointer(GL_FLOAT, 0, (void *)(uintptr_t)ring.norm_offset);
	glEnable(GL_NORMAL_ARRAY);

	glClientActiveTexture(GL_TEXTURE0);
	glTexCoordPointer(2, GL_FLOAT, 0, (void *)(uintptr_t)ring.texcoord_offset);
	glEnable(GL_TEXTURE_COORD_ARRAY);

	glClientActiveTexture(GL_TEXTURE1);
	glTexCoordPointer(3, GL_FLOAT, 0, (void *)(uintptr_t)ring.tangent_offset);
	glEnable(GL_TEXTURE_COORD_ARRAY);

	glNormalPointer(GL_FLOAT, 0, (void *)(uintptr_t)ring.norm_offset);
	glEnable(GL_NORMAL_ARRAY);

	glBindVertexArray(ring.shadow_array_obj);
	glBindBuffer(GL_ARRAY_BUFFER_ARB, ring.vbo);
	glVertexPointer(3, GL_FLOAT, 0, (void *)(uintptr_t)ring.pos_offset);
	glEnable(GL_VERTEX_ARRAY);
}

void
setup_rings(void)
{
	int size;
	int num_steps = 100;
	int corner_steps = 5;
	float *verts;
	int num_verts;
	char *base;
	float translation_matrix[16];
	GLuint vbo;
	int sv;

	generate_rounded_rect_verts(0.2, 1.0, .02, 0.9, corner_steps,
				    &verts, &num_verts);

	memset(translation_matrix, 0, sizeof(translation_matrix));
	translation_matrix[0 * 4 + 0] = 1.0;
	translation_matrix[1 * 4 + 1] = 1.0;
	translation_matrix[3 * 4 + 0] = 1.9;
	translation_matrix[3 * 4 + 1] = -0.5;
	translation_matrix[2 * 4 + 2] = 1.0;
	translation_matrix[3 * 4 + 3] = 1.0;

	sv = (num_steps + 1) * num_verts;
	ring.num_steps = num_steps;
	ring.num_verts = num_verts;
	ring.pos_offset = 0;
	ring.norm_offset = ring.pos_offset + 3 * 4 * sv;
	ring.tangent_offset = ring.norm_offset + 3 * 4 * sv;
	ring.texcoord_offset = ring.tangent_offset + 3 * 4 * sv;
	ring.elements_offset = ring.texcoord_offset + 2 * 4 * sv;
	ring.elements_vert_stride = ((num_steps + 1) * 2 + 1) * 4;
	size = ring.elements_offset + ring.elements_vert_stride *
		ring.num_verts;

	glGenVertexArrays(1, &ring.array_obj);
	glGenVertexArrays(1, &ring.shadow_array_obj);

	glGenBuffers(1, &vbo);
	ring.vbo = vbo;
	glBindBuffer(GL_ARRAY_BUFFER_ARB, vbo);
	glBufferData(GL_ARRAY_BUFFER_ARB, size, NULL, GL_STATIC_DRAW_ARB);

	base = glMapBuffer(GL_ARRAY_BUFFER_ARB, GL_WRITE_ONLY_ARB);

	revolve(verts, num_verts, num_steps, translation_matrix,
		(float *)(base + ring.pos_offset),
		(float *)(base + ring.norm_offset),
		(float *)(base + ring.tangent_offset),
		(float *)(base + ring.texcoord_offset),
		(unsigned int *)(base + ring.elements_offset));

	glUnmapBuffer(GL_ARRAY_BUFFER_ARB);

	free(verts);

	normalmap_tex = load_texture_rgb("normalmap.png");
	heightmap_tex = load_texture_rgb("heightmap.png");
}