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/******************************************************************************
Copyright (C) 2023 by Lain Bailey <lain@obsproject.com>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
******************************************************************************/
#include <stdlib.h>
#include "vec2.h"
#include "vec3.h"
#include "math-defs.h"
#include "math-extra.h"
void polar_to_cart(struct vec3 *dst, const struct vec3 *v)
{
struct vec3 cart;
float sinx = cosf(v->x);
float sinx_z = v->z * sinx;
cart.x = sinx_z * sinf(v->y);
cart.z = sinx_z * cosf(v->y);
cart.y = v->z * sinf(v->x);
vec3_copy(dst, &cart);
}
void cart_to_polar(struct vec3 *dst, const struct vec3 *v)
{
struct vec3 polar;
polar.z = vec3_len(v);
if (close_float(polar.z, 0.0f, EPSILON)) {
vec3_zero(&polar);
} else {
polar.x = asinf(v->y / polar.z);
polar.y = atan2f(v->x, v->z);
}
vec3_copy(dst, &polar);
}
void norm_to_polar(struct vec2 *dst, const struct vec3 *norm)
{
dst->x = atan2f(norm->x, norm->z);
dst->y = asinf(norm->y);
}
void polar_to_norm(struct vec3 *dst, const struct vec2 *polar)
{
float sinx = sinf(polar->x);
dst->x = sinx * cosf(polar->y);
dst->y = sinx * sinf(polar->y);
dst->z = cosf(polar->x);
}
float calc_torquef(float val1, float val2, float torque, float min_adjust,
float t)
{
float out = val1;
float dist;
bool over;
if (close_float(val1, val2, EPSILON))
return val2;
dist = (val2 - val1) * torque;
over = dist > 0.0f;
if (over) {
if (dist < min_adjust) /* prevents from going too slow */
dist = min_adjust;
out += dist * t; /* add torque */
if (out > val2) /* clamp if overshoot */
out = val2;
} else {
if (dist > -min_adjust)
dist = -min_adjust;
out += dist * t;
if (out < val2)
out = val2;
}
return out;
}
void calc_torque(struct vec3 *dst, const struct vec3 *v1, const struct vec3 *v2,
float torque, float min_adjust, float t)
{
struct vec3 line, dir;
float orig_dist, torque_dist, adjust_dist;
if (vec3_close(v1, v2, EPSILON)) {
vec3_copy(dst, v2);
return;
}
vec3_sub(&line, v2, v1);
orig_dist = vec3_len(&line);
vec3_mulf(&dir, &line, 1.0f / orig_dist);
torque_dist = orig_dist * torque; /* use distance to determine speed */
if (torque_dist < min_adjust) /* prevent from going too slow */
torque_dist = min_adjust;
adjust_dist = torque_dist * t;
if (adjust_dist <= (orig_dist - LARGE_EPSILON)) {
vec3_mulf(dst, &dir, adjust_dist);
vec3_add(dst, dst, v1); /* add torque */
} else {
vec3_copy(dst, v2); /* clamp if overshoot */
}
}
float rand_float(int positive_only)
{
if (positive_only)
return (float)((double)rand() / (double)RAND_MAX);
else
return (float)(((double)rand() / (double)RAND_MAX * 2.0) - 1.0);
}
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