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#include "cad.h"
#include <cglm/cglm.h>
#include <string.h>
bool circle_line_intersect(struct circle circle, struct line line, uint8_t root, struct point *point) {
double a = line.norm[0];
double b = line.norm[1];
double c = line.C + glm_vec2_dot(line.norm, circle.center);
double rec = pow(a, 2) + pow(b, 2);
double x0 = -a*c / rec;
double y0 = -b*c / rec;
double r2 = pow(circle.radius, 2);
double test = r2 * rec;
if(pow(c, 2.0) - test > DBL_EPSILON * 1e14) {
return false;
} else if(fabs(pow(c, 2) - test) < DBL_EPSILON * 1e14) {
point->pos[0] = x0;
point->pos[1] = y0;
} else {
double d = r2 - pow(c, 2)/rec;
double mult = sqrt(d / rec);
if(root == 0) {
point->pos[0] = x0 + b * mult;
point->pos[1] = y0 - a * mult;
} else {
point->pos[0] = x0 - b * mult;
point->pos[1] = y0 + a * mult;
}
}
glm_vec2_add(point->pos, circle.center, point->pos);
return true;
}
void line_through_points(struct point p1, struct point p2, struct line* l) {
l->norm[0] = p1.pos[1] - p2.pos[1];
l->norm[1] = p2.pos[0] - p1.pos[0];
l->C = p1.pos[0] * -l->norm[0] + p1.pos[1] * -l->norm[1];
}
void line_line_intersect(struct line l1, struct line l2, struct point* p) {
double a1 = l1.norm[0];
double b1 = l1.norm[1];
double c1 = l1.C;
double a2 = l2.norm[0];
double b2 = l2.norm[1];
double c2 = l2.C;
p->pos[0] = -(c1*b2 - c2*b1) / (a1*b2 - a2*b1);
p->pos[1] = -(a1*c2 - a2*c1) / (a1*b2 - a2*b1);
}
struct element* insert_cmd(struct drawing *drawing, struct command cmd) {
struct command *new = calloc(sizeof(struct command), 1);
memcpy(new, &cmd, sizeof(struct command));
assert(new != NULL);
if(drawing->tail != NULL) drawing->tail->next = new;
else drawing->root = new;
drawing->tail = new;
return &new->result;
}
#define SETSIGN(b, v) ((v) * ((2 * (b)) - 1))
void place_points(struct drawing *drawing, double inputs[]) {
for(struct command *current = drawing->root; current != NULL; current = current->next) {
switch(current->op) {
case CMD_VALUE_INPUT: {
assert(current->result.type == ETYPE_VALUE);
current->result.value = SETSIGN(current->dir, inputs[current->index]);
}break;
case CMD_OFFSET_INPUT: {
assert(current->arg1->type == ETYPE_VALUE);
assert(current->result.type == ETYPE_VALUE);
current->result.value = current->arg1->value + SETSIGN(current->dir, inputs[current->index]);
current->result.value -= (M_PI*2.0) * floor(current->result.value / (M_PI*2.0));
}break;
case CMD_ORIGIN: {
assert(current->result.type == ETYPE_POINT);
glm_vec2_zero(current->result.point.pos);
}break;
case CMD_LINE_X: {
assert(current->result.type == ETYPE_LINE);
current->result.line.norm[0] = 0;
current->result.line.norm[1] = 1;
current->result.line.C = 0;
}break;
case CMD_CIRCLE_CENTER_RADIUS: {
assert(current->result.type == ETYPE_CIRCLE);
glm_vec2_copy(current->arg1->point.pos, current->result.circle.center);
current->result.circle.radius = current->arg2->value;
}break;
case CMD_LINE_POINT_POINT: {
assert(current->result.type == ETYPE_LINE);
line_through_points(current->arg1->point, current->arg2->point, ¤t->result.line);
}break;
case CMD_LINE_POINT_LINE_ANGLE: {
assert(current->arg1->type == ETYPE_POINT);
assert(current->arg2->type == ETYPE_LINE);
assert(current->arg3->type == ETYPE_VALUE);
assert(current->result.type == ETYPE_LINE);
// printf("Rotate %f\n", current->arg3->value);
// printf("%f %f\n", current->arg2->line.norm[0], current->arg2->line.norm[1]);
glm_vec2_rotate(current->arg2->line.norm, current->arg3->value, current->result.line.norm);
// printf("%f %f\n", current->result.line.norm[0], current->result.line.norm[1]);
vec2 offset = {-current->arg1->point.pos[0], -current->arg1->point.pos[1]};
current->result.line.C = glm_vec2_dot(current->result.line.norm, offset);
}break;
case CMD_LINE_LINE_DISTANCE_PARALLEL: {
assert(current->arg1->type == ETYPE_LINE);
assert(current->arg2->type == ETYPE_VALUE);
assert(current->result.type == ETYPE_LINE);
glm_vec2_copy(current->arg1->line.norm, current->result.line.norm);
double mag = glm_vec2_norm(current->result.line.norm);
if(current->root == 1) mag = -mag;
// printf("Magnitude is %f %f\n", mag, current->arg2->value);
current->result.line.C = current->arg1->line.C - mag * current->arg2->value;
}break;
case CMD_LINE_CIRCLE_CIRCLE_TANGENT: {
assert(current->arg1->type == ETYPE_CIRCLE);
assert(current->arg2->type == ETYPE_CIRCLE);
assert(current->result.type == ETYPE_LINE);
if(current->arg1->circle.radius == 0 && current->arg2->circle.radius == 0) {
// The tangent is just a line through the two centers
// @FAST: This is wasteful. If the procedure took the two
// vectors directly, we wouldn't have to copy here.
struct point p1;
glm_vec2_copy(current->arg1->circle.center, p1.pos);
struct point p2;
glm_vec2_copy(current->arg2->circle.center, p2.pos);
// printf("%f %f\n", current->arg1->circle.center[0], current->arg1->circle.center[1]);
// printf("%f %f\n", current->arg2->circle.center[0], current->arg2->circle.center[1]);
line_through_points(p1, p2, ¤t->result.line);
} else if (fabs(current->arg1->circle.radius - current->arg2->circle.radius) < DBL_EPSILON * 1e14) {
// The tangent is parallel to the line through the two
// centers
abort();
} else {
// We should probably implement tangents for circles that
// don't happen to be 0 radius
abort();
}
}break;
case CMD_POINT_CIRCLE_LINE: {
assert(current->arg1->type == ETYPE_CIRCLE);
assert(current->arg2->type == ETYPE_LINE);
assert(current->result.type == ETYPE_POINT);
struct line translated;
glm_vec2_copy(current->arg2->line.norm, translated.norm);
translated.C = translated.C - glm_vec2_dot(translated.norm, current->arg1->circle.center);
circle_line_intersect(current->arg1->circle, current->arg2->line, current->root, ¤t->result.point);
}break;
case CMD_POINT_CIRCLE_CIRCLE: {
assert(current->arg1->type == ETYPE_CIRCLE);
assert(current->arg2->type == ETYPE_CIRCLE);
assert(current->result.type == ETYPE_POINT);
vec2 between_centers;
glm_vec2_sub(current->arg1->circle.center, current->arg2->circle.center, between_centers);
glm_vec2_mul(between_centers, (vec2){2, 2}, between_centers);
double a = between_centers[0];
double b = between_centers[1];
double c = (pow(current->arg2->circle.center[0], 2) - pow(current->arg1->circle.center[0], 2)) + \
(pow(current->arg2->circle.center[1], 2) - pow(current->arg1->circle.center[1], 2)) - \
(pow(current->arg2->circle.radius, 2) - pow(current->arg1->circle.radius, 2));
struct line radical_axis = { {a, b}, c };
if(!circle_line_intersect(current->arg1->circle, radical_axis, current->root, ¤t->result.point)) {
drawing->error = current;
return;
}
}break;
case CMD_POINT_LINE_LINE: {
assert(current->result.type == ETYPE_POINT);
line_line_intersect(current->arg1->line, current->arg2->line, ¤t->result.point);
}break;
case CMD_CIRCLE_CENTER_POINT: {
assert(current->result.type == ETYPE_CIRCLE);
glm_vec2_copy(current->arg1->point.pos, current->result.circle.center);
vec2 imm;
glm_vec2_sub(current->arg1->point.pos, current->arg2->point.pos, imm);
current->result.circle.radius = glm_vec2_norm(imm);
}break;
}
// printf("%fx + %fy + %f = 0\n", cmd[2].line.norm[0], cmd[2].line.norm[1], cmd[2].line.C);
}
}
void free_drawing(struct drawing *drawing) {
struct command *c = drawing->root;
while (c) {
struct command *next = c->next;
free(c);
c = next;
}
drawing->root = NULL;
drawing->tail = NULL;
drawing->error = NULL;
}
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