6591 lines
183 KiB
C
6591 lines
183 KiB
C
/*
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Copyright © 2018 Felipe Ferreira da Silva
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This software is provided 'as-is', without any express or implied warranty. In
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no event will the authors be held liable for any damages arising from the use of
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this software.
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Permission is granted to anyone to use this software for any purpose, including
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commercial applications, and to alter it and redistribute it freely, subject to
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the following restrictions:
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1. The origin of this software must not be misrepresented; you must not claim
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that you wrote the original software. If you use this software in a
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product, an acknowledgment in the product documentation would be
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appreciated but is not required.
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2. Altered source versions must be plainly marked as such, and must not be
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misrepresented as being the original software.
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3. This notice may not be removed or altered from any source distribution.
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*/
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#include "mathc.h"
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const mfloat_t VEC3ZERO[3] = {0.f, 0.f, 0.f};
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const mfloat_t UP[3] = {0.f, 1.f, 0.f};
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const mfloat_t DOWN[3] = {0.f, -1.f, 0.f};
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const mfloat_t FORWARD[3] = {0.f, 0.f, 1.f};
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const mfloat_t BACK[3] = {0.f, 0.f, -1.f};
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const mfloat_t RIGHT[3] = {1.f, 0.f, 0.f};
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const mfloat_t LEFT[3] = {-1.f, 0.f, 0.f};
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const float UNITMAT4[16] =
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{1.f, 0.f, 0.f, 0.f, 0.f, 1.f, 0.f, 0.f, 0.f, 0.f, 1.f, 0.f, 0.f, 0.f,
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0.f, 1.f};
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const mfloat_t VEC2_ZERO[2] = {0.f, 0.f};
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const mint_t VEC2I_ZERO[2] = {0, 0};
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const mfloat_t VEC3_ZERO[3] = {0.f, 0.f, 0.f};
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const mint_t VEC3I_ZERO[3] = {0, 0, 0};
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const mfloat_t VEC2_ONE[2] = {1.f, 1.f};
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const mint_t VEC2I_ONE[2] = {1, 1};
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const mfloat_t VEC3_ONE[3] = {1.f, 1.f, 1.f};
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const mint_t VEC3I_ONE[3] = {1, 1, 1};
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#include <string.h>
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#if defined(MATHC_USE_INT)
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mint_t clampi(mint_t value, mint_t min, mint_t max) {
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if (value < min) {
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value = min;
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} else if (value > max) {
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value = max;
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}
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return value;
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}
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#endif
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#if defined(MATHC_USE_FLOATING_POINT)
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bool nearly_equal(mfloat_t a, mfloat_t b, mfloat_t epsilon) {
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bool result = false;
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if (a == b) {
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result = true;
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} else if (MFABS(a - b) <= epsilon) {
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result = true;
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}
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return result;
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}
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mfloat_t to_radians(mfloat_t degrees) {
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return MRADIANS(degrees);
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}
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mfloat_t to_degrees(mfloat_t radians) {
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return MDEGREES(radians);
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}
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mfloat_t clampf(mfloat_t value, mfloat_t min, mfloat_t max) {
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if (value < min) {
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value = min;
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} else if (value > max) {
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value = max;
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}
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return value;
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}
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#endif
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#if defined(MATHC_USE_INT)
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bool vec2i_is_zero(mint_t *v0) {
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return v0[0] == 0 && v0[1] == 0;
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}
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bool vec2i_is_equal(mint_t *v0, mint_t *v1) {
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return v0[0] == v1[0] && v0[1] == v1[1];
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}
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mint_t *vec2i(mint_t *result, mint_t x, mint_t y) {
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result[0] = x;
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result[1] = y;
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return result;
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}
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mint_t *vec2i_assign(mint_t *result, mint_t *v0) {
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result[0] = v0[0];
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result[1] = v0[1];
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return result;
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}
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#if defined(MATHC_USE_FLOATING_POINT)
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mint_t *vec2i_assign_vec2(mint_t *result, mfloat_t *v0) {
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result[0] = v0[0];
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result[1] = v0[1];
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return result;
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}
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#endif
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mint_t *vec2i_zero(mint_t *result) {
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result[0] = 0;
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result[1] = 0;
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return result;
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}
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mint_t *vec2i_one(mint_t *result) {
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result[0] = 1;
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result[1] = 1;
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return result;
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}
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mint_t *vec2i_sign(mint_t *result, mint_t *v0) {
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if (v0[0] > 0) {
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result[0] = 1;
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} else if (v0[0] < 0) {
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result[0] = -1;
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} else {
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result[0] = 0;
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}
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if (v0[1] > 0) {
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result[1] = 1;
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} else if (v0[1] < 0) {
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result[1] = -1;
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} else {
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result[1] = 0;
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}
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return result;
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}
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mint_t *vec2i_add(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] + v1[0];
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result[1] = v0[1] + v1[1];
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return result;
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}
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mint_t *vec2i_add_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] + i;
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result[1] = v0[1] + i;
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return result;
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}
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mint_t *vec2i_subtract(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] - v1[0];
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result[1] = v0[1] - v1[1];
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return result;
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}
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mint_t *vec2i_subtract_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] - i;
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result[1] = v0[1] - i;
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return result;
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}
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mint_t *vec2i_multiply(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] * v1[0];
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result[1] = v0[1] * v1[1];
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return result;
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}
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mint_t *vec2i_multiply_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] * i;
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result[1] = v0[1] * i;
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return result;
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}
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mint_t *vec2i_divide(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] / v1[0];
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result[1] = v0[1] / v1[1];
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return result;
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}
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mint_t *vec2i_divide_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] / i;
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result[1] = v0[1] / i;
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return result;
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}
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mint_t *vec2i_snap(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = (v0[0] / v1[0]) * v1[0];
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result[1] = (v0[1] / v1[1]) * v1[1];
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return result;
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}
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mint_t *vec2i_snap_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = (v0[0] / i) * i;
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result[1] = (v0[1] / i) * i;
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return result;
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}
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mint_t *vec2i_negative(mint_t *result, mint_t *v0) {
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result[0] = -v0[0];
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result[1] = -v0[1];
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return result;
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}
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mint_t *vec2i_abs(mint_t *result, mint_t *v0) {
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result[0] = v0[0];
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if (result[0] < 0) {
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result[0] = -result[0];
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}
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result[1] = v0[1];
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if (result[1] < 0) {
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result[1] = -result[1];
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}
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return result;
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}
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mint_t *vec2i_max(mint_t *result, mint_t *v0, mint_t *v1) {
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if (v0[0] > v1[0]) {
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result[0] = v0[0];
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} else {
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result[0] = v1[0];
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}
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if (v0[1] > v1[1]) {
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result[1] = v0[1];
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} else {
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result[1] = v1[1];
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}
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return result;
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}
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mint_t *vec2i_min(mint_t *result, mint_t *v0, mint_t *v1) {
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if (v0[0] < v1[0]) {
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result[0] = v0[0];
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} else {
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result[0] = v1[0];
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}
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if (v0[1] < v1[1]) {
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result[1] = v0[1];
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} else {
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result[1] = v1[1];
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}
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return result;
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}
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mint_t *vec2i_clamp(mint_t *result, mint_t *v0, mint_t *v1, mint_t *v2) {
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vec2i_min(result, v0, v1);
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vec2i_max(result, v0, v2);
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return result;
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}
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mint_t *vec2i_tangent(mint_t *result, mint_t *v0) {
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mint_t a0 = v0[0];
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mint_t a1 = v0[1];
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result[0] = a1;
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result[1] = -a0;
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return result;
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}
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bool vec3i_is_zero(mint_t *v0) {
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return v0[0] == 0 && v0[1] == 0 && v0[2] == 0;
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}
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bool vec3i_is_equal(mint_t *v0, mint_t *v1) {
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return v0[0] == v1[0] && v0[1] == v1[1] && v0[2] == v1[2];
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}
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mint_t *vec3i(mint_t *result, mint_t x, mint_t y, mint_t z) {
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result[0] = x;
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result[1] = y;
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result[2] = z;
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return result;
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}
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mint_t *vec3i_assign(mint_t *result, mint_t *v0) {
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result[0] = v0[0];
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result[1] = v0[1];
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result[2] = v0[2];
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return result;
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}
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#if defined(MATHC_USE_FLOATING_POINT)
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mint_t *vec3i_assign_vec3(mint_t *result, mfloat_t *v0) {
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result[0] = v0[0];
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result[1] = v0[1];
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result[2] = v0[2];
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return result;
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}
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#endif
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mint_t *vec3i_zero(mint_t *result) {
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result[0] = 0;
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result[1] = 0;
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result[2] = 0;
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return result;
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}
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mint_t *vec3i_one(mint_t *result) {
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result[0] = 1;
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result[1] = 1;
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result[2] = 1;
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return result;
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}
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mint_t *vec3i_sign(mint_t *result, mint_t *v0) {
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if (v0[0] > 0) {
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result[0] = 1;
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} else if (v0[0] < 0) {
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result[0] = -1;
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} else {
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result[0] = 0;
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}
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if (v0[1] > 0) {
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result[1] = 1;
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} else if (v0[1] < 0) {
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result[1] = -1;
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} else {
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result[1] = 0;
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}
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if (v0[2] > 0) {
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result[2] = 1;
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} else if (v0[2] < 0) {
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result[2] = -1;
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} else {
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result[2] = 0;
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}
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return result;
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}
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mint_t *vec3i_add(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] + v1[0];
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result[1] = v0[1] + v1[1];
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result[2] = v0[2] + v1[2];
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return result;
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}
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mint_t *vec3i_add_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] + i;
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result[1] = v0[1] + i;
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result[2] = v0[2] + i;
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return result;
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}
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mint_t *vec3i_subtract(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] - v1[0];
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result[1] = v0[1] - v1[1];
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result[2] = v0[2] - v1[2];
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return result;
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}
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mint_t *vec3i_subtract_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] - i;
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result[1] = v0[1] - i;
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result[2] = v0[2] - i;
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return result;
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}
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mint_t *vec3i_multiply(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] * v1[0];
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result[1] = v0[1] * v1[1];
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result[2] = v0[2] * v1[2];
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return result;
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}
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mint_t *vec3i_multiply_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] * i;
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result[1] = v0[1] * i;
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result[2] = v0[2] * i;
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return result;
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}
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mint_t *vec3i_divide(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = v0[0] / v1[0];
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result[1] = v0[1] / v1[1];
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result[2] = v0[2] / v1[2];
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return result;
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}
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mint_t *vec3i_divide_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = v0[0] / i;
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result[1] = v0[1] / i;
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result[2] = v0[2] / i;
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return result;
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}
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mint_t *vec3i_snap(mint_t *result, mint_t *v0, mint_t *v1) {
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result[0] = (v0[0] / v1[0]) * v1[0];
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result[1] = (v0[1] / v1[1]) * v1[1];
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result[2] = (v0[2] / v1[2]) * v1[2];
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return result;
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}
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mint_t *vec3i_snap_i(mint_t *result, mint_t *v0, mint_t i) {
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result[0] = (v0[0] / i) * i;
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result[1] = (v0[1] / i) * i;
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result[2] = (v0[2] / i) * i;
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return result;
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}
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mint_t *vec3i_cross(mint_t *result, mint_t *v0, mint_t *v1) {
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mint_t cross[VEC3_SIZE];
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cross[0] = v0[1] * v1[2] - v0[2] * v1[1];
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cross[1] = v0[2] * v1[0] - v0[0] * v1[2];
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cross[2] = v0[0] * v1[1] - v0[1] * v1[0];
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result[0] = cross[0];
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result[1] = cross[1];
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result[2] = cross[2];
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return result;
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}
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mint_t *vec3i_negative(mint_t *result, mint_t *v0) {
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result[0] = -v0[0];
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result[1] = -v0[1];
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result[2] = -v0[2];
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return result;
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}
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mint_t *vec3i_abs(mint_t *result, mint_t *v0) {
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result[0] = v0[0];
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if (result[0] < 0) {
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result[0] = -result[0];
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}
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result[1] = v0[1];
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if (result[1] < 0) {
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result[1] = -result[1];
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}
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result[2] = v0[2];
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if (result[2] < 0) {
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result[2] = -result[2];
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}
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return result;
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}
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mint_t *vec3i_max(mint_t *result, mint_t *v0, mint_t *v1) {
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if (v0[0] > v1[0]) {
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result[0] = v0[0];
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} else {
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result[0] = v1[0];
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}
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if (v0[1] > v1[1]) {
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result[1] = v0[1];
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} else {
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result[1] = v1[1];
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}
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if (v0[2] > v1[2]) {
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result[2] = v0[2];
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} else {
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result[2] = v1[2];
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}
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return result;
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}
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mint_t *vec3i_min(mint_t *result, mint_t *v0, mint_t *v1) {
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if (v0[0] < v1[0]) {
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result[0] = v0[0];
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} else {
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result[0] = v1[0];
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}
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if (v0[1] < v1[1]) {
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result[1] = v0[1];
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} else {
|
|
result[1] = v1[1];
|
|
}
|
|
if (v0[2] < v1[2]) {
|
|
result[2] = v0[2];
|
|
} else {
|
|
result[2] = v1[2];
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec3i_clamp(mint_t *result, mint_t *v0, mint_t *v1, mint_t *v2) {
|
|
vec3i_min(result, v0, v1);
|
|
vec3i_max(result, v0, v2);
|
|
return result;
|
|
}
|
|
|
|
bool vec4i_is_zero(mint_t *v0) {
|
|
return v0[0] == 0 && v0[1] == 0 && v0[2] == 0 && v0[3] == 0;
|
|
}
|
|
|
|
bool vec4i_is_equal(mint_t *v0, mint_t *v1) {
|
|
return v0[0] == v1[0] && v0[1] == v1[1] && v0[2] == v1[2] && v0[3] == v1[3];
|
|
}
|
|
|
|
mint_t *vec4i(mint_t *result, mint_t x, mint_t y, mint_t z, mint_t w) {
|
|
result[0] = x;
|
|
result[1] = y;
|
|
result[2] = z;
|
|
result[3] = w;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_assign(mint_t *result, mint_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
result[2] = v0[2];
|
|
result[3] = v0[3];
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
mint_t *vec4i_assign_vec4(mint_t *result, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
result[2] = v0[2];
|
|
result[3] = v0[3];
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
mint_t *vec4i_zero(mint_t *result) {
|
|
result[0] = 0;
|
|
result[1] = 0;
|
|
result[2] = 0;
|
|
result[3] = 0;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_one(mint_t *result) {
|
|
result[0] = 1;
|
|
result[1] = 1;
|
|
result[2] = 1;
|
|
result[3] = 1;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_sign(mint_t *result, mint_t *v0) {
|
|
if (v0[0] > 0) {
|
|
result[0] = 1;
|
|
} else if (v0[0] < 0) {
|
|
result[0] = -1;
|
|
} else {
|
|
result[0] = 0;
|
|
}
|
|
if (v0[1] > 0) {
|
|
result[1] = 1;
|
|
} else if (v0[1] < 0) {
|
|
result[1] = -1;
|
|
} else {
|
|
result[1] = 0;
|
|
}
|
|
if (v0[2] > 0) {
|
|
result[2] = 1;
|
|
} else if (v0[2] < 0) {
|
|
result[2] = -1;
|
|
} else {
|
|
result[2] = 0;
|
|
}
|
|
if (v0[3] > 0) {
|
|
result[3] = 1;
|
|
} else if (v0[3] < 0) {
|
|
result[3] = -1;
|
|
} else {
|
|
result[3] = 0;
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_add(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
result[0] = v0[0] + v1[0];
|
|
result[1] = v0[1] + v1[1];
|
|
result[2] = v0[2] + v1[2];
|
|
result[3] = v0[3] + v1[3];
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_add_i(mint_t *result, mint_t *v0, mint_t i) {
|
|
result[0] = v0[0] + i;
|
|
result[1] = v0[1] + i;
|
|
result[2] = v0[2] + i;
|
|
result[3] = v0[3] + i;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_subtract(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
result[0] = v0[0] - v1[0];
|
|
result[1] = v0[1] - v1[1];
|
|
result[2] = v0[2] - v1[2];
|
|
result[3] = v0[3] - v1[3];
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_subtract_i(mint_t *result, mint_t *v0, mint_t i) {
|
|
result[0] = v0[0] - i;
|
|
result[1] = v0[1] - i;
|
|
result[2] = v0[2] - i;
|
|
result[3] = v0[3] - i;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_multiply(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
result[0] = v0[0] * v1[0];
|
|
result[1] = v0[1] * v1[1];
|
|
result[2] = v0[2] * v1[2];
|
|
result[3] = v0[3] * v1[3];
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_multiply_i(mint_t *result, mint_t *v0, mint_t i) {
|
|
result[0] = v0[0] * i;
|
|
result[1] = v0[1] * i;
|
|
result[2] = v0[2] * i;
|
|
result[3] = v0[3] * i;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_divide(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
result[0] = v0[0] / v1[0];
|
|
result[1] = v0[1] / v1[1];
|
|
result[2] = v0[2] / v1[2];
|
|
result[3] = v0[3] / v1[3];
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_divide_i(mint_t *result, mint_t *v0, mint_t i) {
|
|
result[0] = v0[0] / i;
|
|
result[1] = v0[1] / i;
|
|
result[2] = v0[2] / i;
|
|
result[3] = v0[3] / i;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_snap(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
result[0] = (v0[0] / v1[0]) * v1[0];
|
|
result[1] = (v0[1] / v1[1]) * v1[1];
|
|
result[2] = (v0[2] / v1[2]) * v1[2];
|
|
result[3] = (v0[3] / v1[3]) * v1[3];
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_snap_i(mint_t *result, mint_t *v0, mint_t i) {
|
|
result[0] = (v0[0] / i) * i;
|
|
result[1] = (v0[1] / i) * i;
|
|
result[2] = (v0[2] / i) * i;
|
|
result[3] = (v0[3] / i) * i;
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_negative(mint_t *result, mint_t *v0) {
|
|
result[0] = -v0[0];
|
|
result[1] = -v0[1];
|
|
result[2] = -v0[2];
|
|
result[3] = -v0[3];
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_abs(mint_t *result, mint_t *v0) {
|
|
result[0] = v0[0];
|
|
if (result[0] < 0) {
|
|
result[0] = -result[0];
|
|
}
|
|
result[1] = v0[1];
|
|
if (result[1] < 0) {
|
|
result[1] = -result[1];
|
|
}
|
|
result[2] = v0[2];
|
|
if (result[2] < 0) {
|
|
result[2] = -result[2];
|
|
}
|
|
result[3] = v0[3];
|
|
if (result[3] < 0) {
|
|
result[3] = -result[3];
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_max(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
if (v0[0] > v1[0]) {
|
|
result[0] = v0[0];
|
|
} else {
|
|
result[0] = v1[0];
|
|
}
|
|
if (v0[1] > v1[1]) {
|
|
result[1] = v0[1];
|
|
} else {
|
|
result[1] = v1[1];
|
|
}
|
|
if (v0[2] > v1[2]) {
|
|
result[2] = v0[2];
|
|
} else {
|
|
result[2] = v1[2];
|
|
}
|
|
if (v0[3] > v1[3]) {
|
|
result[3] = v0[3];
|
|
} else {
|
|
result[3] = v1[3];
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_min(mint_t *result, mint_t *v0, mint_t *v1) {
|
|
if (v0[0] < v1[0]) {
|
|
result[0] = v0[0];
|
|
} else {
|
|
result[0] = v1[0];
|
|
}
|
|
if (v0[1] < v1[1]) {
|
|
result[1] = v0[1];
|
|
} else {
|
|
result[1] = v1[1];
|
|
}
|
|
if (v0[2] < v1[2]) {
|
|
result[2] = v0[2];
|
|
} else {
|
|
result[2] = v1[2];
|
|
}
|
|
if (v0[3] < v1[3]) {
|
|
result[3] = v0[3];
|
|
} else {
|
|
result[3] = v1[3];
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mint_t *vec4i_clamp(mint_t *result, mint_t *v0, mint_t *v1, mint_t *v2) {
|
|
vec4i_min(result, v0, v1);
|
|
vec4i_max(result, v0, v2);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
bool vec2_is_zero(mfloat_t *v0) {
|
|
return MFABS(v0[0]) < MFLT_EPSILON && MFABS(v0[1]) < MFLT_EPSILON;
|
|
}
|
|
|
|
bool vec2_is_equal(mfloat_t *v0, mfloat_t *v1) {
|
|
return MFABS(v0[0] - v1[0]) < MFLT_EPSILON && MFABS(v0[1] - v1[1]) < MFLT_EPSILON;
|
|
}
|
|
|
|
mfloat_t *vec2(mfloat_t *result, mfloat_t x, mfloat_t y) {
|
|
result[0] = x;
|
|
result[1] = y;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_assign(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
mfloat_t *vec2_assign_vec2i(mfloat_t *result, mint_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
mfloat_t *vec2_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_one(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
result[1] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_sign(mfloat_t *result, mfloat_t *v0) {
|
|
if (v0[0] > MFLOAT_C(0.0)) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
} else if (v0[0] < MFLOAT_C(0.0)) {
|
|
result[0] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[0] = MFLOAT_C(0.0);
|
|
}
|
|
if (v0[1] > MFLOAT_C(0.0)) {
|
|
result[1] = MFLOAT_C(1.0);
|
|
} else if (v0[1] < MFLOAT_C(0.0)) {
|
|
result[1] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[1] = MFLOAT_C(0.0);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_add(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] + v1[0];
|
|
result[1] = v0[1] + v1[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_add_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] + f;
|
|
result[1] = v0[1] + f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_subtract(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] - v1[0];
|
|
result[1] = v0[1] - v1[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_subtract_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] - f;
|
|
result[1] = v0[1] - f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_multiply(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] * v1[0];
|
|
result[1] = v0[1] * v1[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_multiply_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] * f;
|
|
result[1] = v0[1] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_multiply_mat2(mfloat_t *result, mfloat_t *v0,
|
|
mfloat_t *m0) {
|
|
mfloat_t x = v0[0];
|
|
mfloat_t y = v0[1];
|
|
result[0] = m0[0] * x + m0[2] * y;
|
|
result[1] = m0[1] * x + m0[3] * y;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_divide(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] / v1[0];
|
|
result[1] = v0[1] / v1[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_divide_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] / f;
|
|
result[1] = v0[1] / f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_snap(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFLOOR(v0[0] / v1[0]) * v1[0];
|
|
result[1] = MFLOOR(v0[1] / v1[1]) * v1[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_snap_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = MFLOOR(v0[0] / f) * f;
|
|
result[1] = MFLOOR(v0[1] / f) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_negative(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = -v0[0];
|
|
result[1] = -v0[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_abs(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MFABS(v0[0]);
|
|
result[1] = MFABS(v0[1]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_floor(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MFLOOR(v0[0]);
|
|
result[1] = MFLOOR(v0[1]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_ceil(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MCEIL(v0[0]);
|
|
result[1] = MCEIL(v0[1]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_round(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MROUND(v0[0]);
|
|
result[1] = MROUND(v0[1]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_max(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFMAX(v0[0], v1[0]);
|
|
result[1] = MFMAX(v0[1], v1[1]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_min(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFMIN(v0[0], v1[0]);
|
|
result[1] = MFMIN(v0[1], v1[1]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_clamp(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2) {
|
|
vec2_min(result, v0, v1);
|
|
vec2_max(result, v0, v2);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_normalize(mfloat_t *result, mfloat_t *v0) {
|
|
mfloat_t l = MSQRT(v0[0] * v0[0] + v0[1] * v0[1]);
|
|
result[0] = v0[0] / l;
|
|
result[1] = v0[1] / l;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t vec2_dot(mfloat_t *v0, mfloat_t *v1) {
|
|
return v0[0] * v1[0] + v0[1] * v1[1];
|
|
}
|
|
|
|
mfloat_t *vec2_project(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
mfloat_t d = vec2_dot(v1, v1);
|
|
mfloat_t s = vec2_dot(v0, v1) / d;
|
|
result[0] = v1[0] * s;
|
|
result[1] = v1[1] * s;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_slide(mfloat_t *result, mfloat_t *v0, mfloat_t *normal) {
|
|
mfloat_t d = vec2_dot(v0, normal);
|
|
result[0] = v0[0] - normal[0] * d;
|
|
result[1] = v0[1] - normal[1] * d;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_reflect(mfloat_t *result, mfloat_t *v0, mfloat_t *normal) {
|
|
mfloat_t d = MFLOAT_C(2.0) * vec2_dot(v0, normal);
|
|
result[0] = normal[0] * d - v0[0];
|
|
result[1] = normal[1] * d - v0[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_tangent(mfloat_t *result, mfloat_t *v0) {
|
|
mfloat_t a0 = v0[0];
|
|
mfloat_t a1 = v0[1];
|
|
result[0] = a1;
|
|
result[1] = -a0;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_rotate(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
mfloat_t cs = MCOS(f);
|
|
mfloat_t sn = MSIN(f);
|
|
mfloat_t x = v0[0];
|
|
mfloat_t y = v0[1];
|
|
result[0] = x * cs - y * sn;
|
|
result[1] = x * sn + y * cs;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_lerp(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t f) {
|
|
result[0] = v0[0] + (v1[0] - v0[0]) * f;
|
|
result[1] = v0[1] + (v1[1] - v0[1]) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_bezier3(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2, mfloat_t f) {
|
|
mfloat_t tmp0[VEC2_SIZE];
|
|
mfloat_t tmp1[VEC2_SIZE];
|
|
vec2_lerp(tmp0, v0, v1, f);
|
|
vec2_lerp(tmp1, v1, v2, f);
|
|
vec2_lerp(result, tmp0, tmp1, f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec2_bezier4(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2, mfloat_t *v3, mfloat_t f) {
|
|
mfloat_t tmp0[VEC2_SIZE];
|
|
mfloat_t tmp1[VEC2_SIZE];
|
|
mfloat_t tmp2[VEC2_SIZE];
|
|
mfloat_t tmp3[VEC2_SIZE];
|
|
mfloat_t tmp4[VEC2_SIZE];
|
|
vec2_lerp(tmp0, v0, v1, f);
|
|
vec2_lerp(tmp1, v1, v2, f);
|
|
vec2_lerp(tmp2, v2, v3, f);
|
|
vec2_lerp(tmp3, tmp0, tmp1, f);
|
|
vec2_lerp(tmp4, tmp1, tmp2, f);
|
|
vec2_lerp(result, tmp3, tmp4, f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t vec2_angle(mfloat_t *v0) {
|
|
return MATAN2(v0[1], v0[0]);
|
|
}
|
|
|
|
mfloat_t vec2_length(mfloat_t *v0) {
|
|
return MSQRT(v0[0] * v0[0] + v0[1] * v0[1]);
|
|
}
|
|
|
|
mfloat_t vec2_length_squared(mfloat_t *v0) {
|
|
return v0[0] * v0[0] + v0[1] * v0[1];
|
|
}
|
|
|
|
mfloat_t vec2_distance(mfloat_t *v0, mfloat_t *v1) {
|
|
return MSQRT((v0[0] - v1[0]) * (v0[0] - v1[0]) +
|
|
(v0[1] - v1[1]) * (v0[1] - v1[1]));
|
|
}
|
|
|
|
mfloat_t vec2_distance_squared(mfloat_t *v0, mfloat_t *v1) {
|
|
return (v0[0] - v1[0]) * (v0[0] - v1[0]) + (v0[1] - v1[1]) * (v0[1] -
|
|
v1[1]);
|
|
}
|
|
|
|
bool vec2_linear_independent(mfloat_t *v0, mfloat_t *v1) {
|
|
return (v0[0] * v1[1] - v1[0] * v0[1]) != 0;
|
|
}
|
|
|
|
mfloat_t **vec2_orthonormalization(mfloat_t result[2][2],
|
|
mfloat_t basis[2][2]) {
|
|
mfloat_t v0[2];
|
|
mfloat_t v1[2];
|
|
|
|
for (int32_t i = 0; i < 2; ++i) {
|
|
v0[i] = basis[0][i];
|
|
v1[i] = basis[1][i];
|
|
}
|
|
|
|
if (!vec2_linear_independent(v0, v1)) {
|
|
return (mfloat_t **)result;
|
|
}
|
|
|
|
mfloat_t proju1[2];
|
|
mfloat_t u0[2];
|
|
mfloat_t u1[2];
|
|
|
|
for (int32_t i = 0; i < 2; ++i) {
|
|
u0[i] = v0[i];
|
|
}
|
|
|
|
vec2_project(proju1, v1, v0);
|
|
vec2_subtract(u1, v1, proju1);
|
|
vec2_normalize(result[0], u0);
|
|
vec2_normalize(result[1], u1);
|
|
|
|
return (mfloat_t **)result;
|
|
}
|
|
|
|
bool vec3_is_zero(mfloat_t *v0) {
|
|
return MFABS(v0[0]) < MFLT_EPSILON && MFABS(v0[1]) < MFLT_EPSILON && MFABS(v0[2]) < MFLT_EPSILON;
|
|
}
|
|
|
|
bool vec3_is_equal(mfloat_t *v0, mfloat_t *v1) {
|
|
return MFABS(v0[0] - v1[0]) < MFLT_EPSILON && MFABS(v0[1] - v1[1]) < MFLT_EPSILON && MFABS(v0[2] - v1[2]) < MFLT_EPSILON;
|
|
}
|
|
|
|
mfloat_t *vec3(mfloat_t *result, mfloat_t x, mfloat_t y, mfloat_t z) {
|
|
result[0] = x;
|
|
result[1] = y;
|
|
result[2] = z;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_assign(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
result[2] = v0[2];
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
mfloat_t *vec3_assign_vec3i(mfloat_t *result, mint_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
result[2] = v0[2];
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
mfloat_t *vec3_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_one(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
result[1] = MFLOAT_C(1.0);
|
|
result[2] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_sign(mfloat_t *result, mfloat_t *v0) {
|
|
if (v0[0] > MFLOAT_C(0.0)) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
} else if (v0[0] < 0) {
|
|
result[0] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[0] = MFLOAT_C(0.0);
|
|
}
|
|
if (v0[1] > MFLOAT_C(0.0)) {
|
|
result[1] = MFLOAT_C(1.0);
|
|
} else if (v0[1] < 0) {
|
|
result[1] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[1] = MFLOAT_C(0.0);
|
|
}
|
|
if (v0[2] > MFLOAT_C(0.0)) {
|
|
result[2] = MFLOAT_C(1.0);
|
|
} else if (v0[2] < 0) {
|
|
result[2] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[2] = MFLOAT_C(0.0);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_add(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t *v1) {
|
|
result[0] = v0[0] + v1[0];
|
|
result[1] = v0[1] + v1[1];
|
|
result[2] = v0[2] + v1[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_add_f(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t f) {
|
|
result[0] = v0[0] + f;
|
|
result[1] = v0[1] + f;
|
|
result[2] = v0[2] + f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_subtract(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t *v1) {
|
|
result[0] = v0[0] - v1[0];
|
|
result[1] = v0[1] - v1[1];
|
|
result[2] = v0[2] - v1[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_subtract_f(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t f) {
|
|
result[0] = v0[0] - f;
|
|
result[1] = v0[1] - f;
|
|
result[2] = v0[2] - f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_multiply(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t *v1) {
|
|
result[0] = v0[0] * v1[0];
|
|
result[1] = v0[1] * v1[1];
|
|
result[2] = v0[2] * v1[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_multiply_f(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t f) {
|
|
result[0] = v0[0] * f;
|
|
result[1] = v0[1] * f;
|
|
result[2] = v0[2] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_multiply_mat3(mfloat_t *result, mfloat_t *v0,
|
|
mfloat_t *m0) {
|
|
mfloat_t x = v0[0];
|
|
mfloat_t y = v0[1];
|
|
mfloat_t z = v0[2];
|
|
result[0] = m0[0] * x + m0[3] * y + m0[6] * z;
|
|
result[1] = m0[1] * x + m0[4] * y + m0[7] * z;
|
|
result[2] = m0[2] * x + m0[5] * y + m0[8] * z;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_divide(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] / v1[0];
|
|
result[1] = v0[1] / v1[1];
|
|
result[2] = v0[2] / v1[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_divide_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] / f;
|
|
result[1] = v0[1] / f;
|
|
result[2] = v0[2] / f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_snap(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFLOOR(v0[0] / v1[0]) * v1[0];
|
|
result[1] = MFLOOR(v0[1] / v1[1]) * v1[1];
|
|
result[2] = MFLOOR(v0[2] / v1[2]) * v1[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_snap_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = MFLOOR(v0[0] / f) * f;
|
|
result[1] = MFLOOR(v0[1] / f) * f;
|
|
result[2] = MFLOOR(v0[2] / f) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_negative(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = -v0[0];
|
|
result[1] = -v0[1];
|
|
result[2] = -v0[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_abs(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MFABS(v0[0]);
|
|
result[1] = MFABS(v0[1]);
|
|
result[2] = MFABS(v0[2]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_floor(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MFLOOR(v0[0]);
|
|
result[1] = MFLOOR(v0[1]);
|
|
result[2] = MFLOOR(v0[2]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_ceil(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MCEIL(v0[0]);
|
|
result[1] = MCEIL(v0[1]);
|
|
result[2] = MCEIL(v0[2]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_round(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MROUND(v0[0]);
|
|
result[1] = MROUND(v0[1]);
|
|
result[2] = MROUND(v0[2]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_max(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFMAX(v0[0], v1[0]);
|
|
result[1] = MFMAX(v0[1], v1[1]);
|
|
result[2] = MFMAX(v0[2], v1[2]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_min(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFMIN(v0[0], v1[0]);
|
|
result[1] = MFMIN(v0[1], v1[1]);
|
|
result[2] = MFMIN(v0[2], v1[2]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_clamp(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2) {
|
|
vec3_min(result, v0, v1);
|
|
vec3_max(result, v0, v2);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_cross(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t *v1) {
|
|
|
|
result[0] = v0[1] * v1[2] - v0[2] * v1[1];
|
|
result[1] = v0[2] * v1[0] - v0[0] * v1[2];
|
|
result[2] = v0[0] * v1[1] - v0[1] * v1[0];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_normalize(mfloat_t *result, mfloat_t *v0) {
|
|
mfloat_t l = MSQRT(v0[0] * v0[0] + v0[1] * v0[1] + v0[2] * v0[2]);
|
|
result[0] = v0[0] / l;
|
|
result[1] = v0[1] / l;
|
|
result[2] = v0[2] / l;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t vec3_dot(const mfloat_t *v0, const mfloat_t *v1) {
|
|
return v0[0] * v1[0] + v0[1] * v1[1] + v0[2] * v1[2];
|
|
}
|
|
|
|
mfloat_t *vec3_project(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
mfloat_t d = vec3_dot(v1, v1);
|
|
mfloat_t s = vec3_dot(v0, v1) / d;
|
|
result[0] = v1[0] * s;
|
|
result[1] = v1[1] * s;
|
|
result[2] = v1[2] * s;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_slide(mfloat_t *result, mfloat_t *v0, mfloat_t *normal) {
|
|
mfloat_t d = vec3_dot(v0, normal);
|
|
result[0] = v0[0] - normal[0] * d;
|
|
result[1] = v0[1] - normal[1] * d;
|
|
result[2] = v0[2] - normal[2] * d;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_reflect(mfloat_t *result, mfloat_t *v0, mfloat_t *normal) {
|
|
mfloat_t d = MFLOAT_C(2.0) * vec3_dot(v0, normal);
|
|
result[0] = normal[0] * d - v0[0];
|
|
result[1] = normal[1] * d - v0[1];
|
|
result[2] = normal[2] * d - v0[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_rotate(mfloat_t *result, mfloat_t *v0, mfloat_t *ra,
|
|
mfloat_t f) {
|
|
mfloat_t cs;
|
|
mfloat_t sn;
|
|
mfloat_t x;
|
|
mfloat_t y;
|
|
mfloat_t z;
|
|
mfloat_t rx;
|
|
mfloat_t ry;
|
|
mfloat_t rz;
|
|
cs = MCOS(f);
|
|
sn = MSIN(f);
|
|
x = v0[0];
|
|
y = v0[1];
|
|
z = v0[2];
|
|
vec3_normalize(ra, ra);
|
|
rx = ra[0];
|
|
ry = ra[1];
|
|
rz = ra[2];
|
|
result[0] =
|
|
x * (cs + rx * rx * (1 - cs)) + y * (rx * ry * (1 - cs) - rz * sn) + z * (rx * rz * (1 - cs) + ry * sn);
|
|
result[1] =
|
|
x * (ry * rx * (1 - cs) + rz * sn) + y * (cs + ry * ry * (1 - cs)) +
|
|
z * (ry * rz * (1 - cs) - rx * sn);
|
|
result[2] =
|
|
x * (rz * rx * (1 - cs) - ry * sn) + y * (rz * ry * (1 - cs) + rx * sn) + z * (cs + rz * rz * (1 - cs));
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_lerp(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t f) {
|
|
result[0] = v0[0] + (v1[0] - v0[0]) * f;
|
|
result[1] = v0[1] + (v1[1] - v0[1]) * f;
|
|
result[2] = v0[2] + (v1[2] - v0[2]) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_bezier3(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2, mfloat_t f) {
|
|
mfloat_t tmp0[VEC3_SIZE];
|
|
mfloat_t tmp1[VEC3_SIZE];
|
|
vec3_lerp(tmp0, v0, v1, f);
|
|
vec3_lerp(tmp1, v1, v2, f);
|
|
vec3_lerp(result, tmp0, tmp1, f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec3_bezier4(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2, mfloat_t *v3, mfloat_t f) {
|
|
mfloat_t tmp0[VEC3_SIZE];
|
|
mfloat_t tmp1[VEC3_SIZE];
|
|
mfloat_t tmp2[VEC3_SIZE];
|
|
mfloat_t tmp3[VEC3_SIZE];
|
|
mfloat_t tmp4[VEC3_SIZE];
|
|
vec3_lerp(tmp0, v0, v1, f);
|
|
vec3_lerp(tmp1, v1, v2, f);
|
|
vec3_lerp(tmp2, v2, v3, f);
|
|
vec3_lerp(tmp3, tmp0, tmp1, f);
|
|
vec3_lerp(tmp4, tmp1, tmp2, f);
|
|
vec3_lerp(result, tmp3, tmp4, f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t vec3_length(mfloat_t *v0) {
|
|
return MSQRT(v0[0] * v0[0] + v0[1] * v0[1] + v0[2] * v0[2]);
|
|
}
|
|
|
|
mfloat_t vec3_length_squared(mfloat_t *v0) {
|
|
return v0[0] * v0[0] + v0[1] * v0[1] + v0[2] * v0[2];
|
|
}
|
|
|
|
mfloat_t vec3_distance(mfloat_t *v0, mfloat_t *v1) {
|
|
return MSQRT((v0[0] - v1[0]) * (v0[0] - v1[0]) +
|
|
(v0[1] - v1[1]) * (v0[1] - v1[1]) + (v0[2] - v1[2]) * (v0[2] - v1[2]));
|
|
}
|
|
|
|
mfloat_t vec3_distance_squared(mfloat_t *v0, mfloat_t *v1) {
|
|
return (v0[0] - v1[0]) * (v0[0] - v1[0]) + (v0[1] - v1[1]) * (v0[1] - v1[1]) +
|
|
(v0[2] - v1[2]) * (v0[2] - v1[2]);
|
|
}
|
|
|
|
bool vec3_linear_independent(mfloat_t *v0, mfloat_t *v1, mfloat_t *v2) {
|
|
return v0[0] * v1[1] * v2[2] + v0[1] * v1[2] * v2[0] +
|
|
v0[2] * v1[0] * v2[1] - v0[2] * v1[1] * v2[0] - v0[1] * v1[0] * v2[2] -
|
|
v0[0] * v1[2] * v2[1];
|
|
}
|
|
|
|
mfloat_t **vec3_orthonormalization(mfloat_t result[3][3],
|
|
mfloat_t basis[3][3]) {
|
|
mfloat_t v0[3];
|
|
mfloat_t v1[3];
|
|
mfloat_t v2[3];
|
|
|
|
for (int32_t i = 0; i < 3; ++i) {
|
|
v0[i] = basis[0][i];
|
|
v1[i] = basis[1][i];
|
|
v2[i] = basis[2][i];
|
|
}
|
|
|
|
if (!vec3_linear_independent(v0, v1, v2)) {
|
|
return (mfloat_t **)result;
|
|
}
|
|
|
|
mfloat_t proj[3];
|
|
mfloat_t u0[3];
|
|
mfloat_t u1[3];
|
|
mfloat_t u2[3];
|
|
|
|
for (int32_t i = 0; i < 3; ++i) {
|
|
u0[i] = v0[i];
|
|
}
|
|
|
|
vec3_project(proj, v1, u0);
|
|
vec3_subtract(u1, v1, proj);
|
|
|
|
vec3_project(proj, v2, u0);
|
|
vec3_subtract(u2, v2, proj);
|
|
vec3_project(proj, v2, u1);
|
|
vec3_subtract(u2, u2, proj);
|
|
|
|
vec3_normalize(result[0], u0);
|
|
vec3_normalize(result[1], u1);
|
|
vec3_normalize(result[2], u2);
|
|
|
|
return (mfloat_t **)result;
|
|
}
|
|
|
|
mfloat_t *vec3_rotate_quat(mfloat_t *result, const mfloat_t *v,
|
|
const mfloat_t *q) {
|
|
mfloat_t qi[4];
|
|
quat_conjugate(qi, q);
|
|
|
|
mfloat_t vq[4] = {0};
|
|
vq[0] = v[0];
|
|
vq[1] = v[1];
|
|
vq[2] = v[2];
|
|
|
|
quat_multiply(vq, q, vq);
|
|
quat_multiply(vq, vq, qi);
|
|
|
|
result[0] = vq[0];
|
|
result[1] = vq[1];
|
|
result[2] = vq[2];
|
|
return result;
|
|
}
|
|
|
|
bool vec4_is_zero(mfloat_t *v0) {
|
|
return MFABS(v0[0]) < MFLT_EPSILON && MFABS(v0[1]) < MFLT_EPSILON && MFABS(v0[2]) < MFLT_EPSILON && MFABS(v0[3]) < MFLT_EPSILON;
|
|
}
|
|
|
|
bool vec4_is_equal(mfloat_t *v0, mfloat_t *v1) {
|
|
return MFABS(v0[0] - v1[0]) < MFLT_EPSILON && MFABS(v0[1] - v1[1]) < MFLT_EPSILON && MFABS(v0[2] - v1[2]) < MFLT_EPSILON && MFABS(v0[3] - v1[3]) < MFLT_EPSILON;
|
|
}
|
|
|
|
mfloat_t *vec4(mfloat_t *result, mfloat_t x, mfloat_t y, mfloat_t z,
|
|
mfloat_t w) {
|
|
result[0] = x;
|
|
result[1] = y;
|
|
result[2] = z;
|
|
result[3] = w;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_assign(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
result[2] = v0[2];
|
|
result[3] = v0[3];
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
mfloat_t *vec4_assign_vec4i(mfloat_t *result, mint_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = v0[1];
|
|
result[2] = v0[2];
|
|
result[3] = v0[3];
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
mfloat_t *vec4_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_one(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
result[1] = MFLOAT_C(1.0);
|
|
result[2] = MFLOAT_C(1.0);
|
|
result[3] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_sign(mfloat_t *result, mfloat_t *v0) {
|
|
if (v0[0] > MFLOAT_C(0.0)) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
} else if (v0[0] < 0) {
|
|
result[0] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[0] = MFLOAT_C(0.0);
|
|
}
|
|
if (v0[1] > MFLOAT_C(0.0)) {
|
|
result[1] = MFLOAT_C(1.0);
|
|
} else if (v0[1] < 0) {
|
|
result[1] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[1] = MFLOAT_C(0.0);
|
|
}
|
|
if (v0[2] > MFLOAT_C(0.0)) {
|
|
result[2] = MFLOAT_C(1.0);
|
|
} else if (v0[2] < 0) {
|
|
result[2] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[2] = MFLOAT_C(0.0);
|
|
}
|
|
if (v0[3] > MFLOAT_C(0.0)) {
|
|
result[3] = MFLOAT_C(1.0);
|
|
} else if (v0[3] < 0) {
|
|
result[3] = -MFLOAT_C(1.0);
|
|
} else {
|
|
result[3] = MFLOAT_C(0.0);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_add(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] + v1[0];
|
|
result[1] = v0[1] + v1[1];
|
|
result[2] = v0[2] + v1[2];
|
|
result[3] = v0[3] + v1[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_add_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] + f;
|
|
result[1] = v0[1] + f;
|
|
result[2] = v0[2] + f;
|
|
result[3] = v0[3] + f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_subtract(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] - v1[0];
|
|
result[1] = v0[1] - v1[1];
|
|
result[2] = v0[2] - v1[2];
|
|
result[3] = v0[3] - v1[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_subtract_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] - f;
|
|
result[1] = v0[1] - f;
|
|
result[2] = v0[2] - f;
|
|
result[3] = v0[3] - f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_multiply(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] * v1[0];
|
|
result[1] = v0[1] * v1[1];
|
|
result[2] = v0[2] * v1[2];
|
|
result[3] = v0[3] * v1[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_multiply_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] * f;
|
|
result[1] = v0[1] * f;
|
|
result[2] = v0[2] * f;
|
|
result[3] = v0[3] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_multiply_mat4(mfloat_t *result, mfloat_t *v0,
|
|
mfloat_t *m0) {
|
|
mfloat_t x = v0[0];
|
|
mfloat_t y = v0[1];
|
|
mfloat_t z = v0[2];
|
|
mfloat_t w = v0[3];
|
|
result[0] = m0[0] * x + m0[4] * y + m0[8] * z + m0[12] * w;
|
|
result[1] = m0[1] * x + m0[5] * y + m0[9] * z + m0[13] * w;
|
|
result[2] = m0[2] * x + m0[6] * y + m0[10] * z + m0[14] * w;
|
|
result[3] = m0[3] * x + m0[7] * y + m0[11] * z + m0[15] * w;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_divide(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = v0[0] / v1[0];
|
|
result[1] = v0[1] / v1[1];
|
|
result[2] = v0[2] / v1[2];
|
|
result[3] = v0[3] / v1[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_divide_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = v0[0] / f;
|
|
result[1] = v0[1] / f;
|
|
result[2] = v0[2] / f;
|
|
result[3] = v0[3] / f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_snap(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFLOOR(v0[0] / v1[0]) * v1[0];
|
|
result[1] = MFLOOR(v0[1] / v1[1]) * v1[1];
|
|
result[2] = MFLOOR(v0[2] / v1[2]) * v1[2];
|
|
result[3] = MFLOOR(v0[3] / v1[3]) * v1[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_snap_f(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
result[0] = MFLOOR(v0[0] / f) * f;
|
|
result[1] = MFLOOR(v0[1] / f) * f;
|
|
result[2] = MFLOOR(v0[2] / f) * f;
|
|
result[3] = MFLOOR(v0[3] / f) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_negative(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = -v0[0];
|
|
result[1] = -v0[1];
|
|
result[2] = -v0[2];
|
|
result[3] = -v0[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_abs(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MFABS(v0[0]);
|
|
result[1] = MFABS(v0[1]);
|
|
result[2] = MFABS(v0[2]);
|
|
result[3] = MFABS(v0[3]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_floor(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MFLOOR(v0[0]);
|
|
result[1] = MFLOOR(v0[1]);
|
|
result[2] = MFLOOR(v0[2]);
|
|
result[3] = MFLOOR(v0[3]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_ceil(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MCEIL(v0[0]);
|
|
result[1] = MCEIL(v0[1]);
|
|
result[2] = MCEIL(v0[2]);
|
|
result[3] = MCEIL(v0[3]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_round(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = MROUND(v0[0]);
|
|
result[1] = MROUND(v0[1]);
|
|
result[2] = MROUND(v0[2]);
|
|
result[3] = MROUND(v0[3]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_max(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFMAX(v0[0], v1[0]);
|
|
result[1] = MFMAX(v0[1], v1[1]);
|
|
result[2] = MFMAX(v0[2], v1[2]);
|
|
result[3] = MFMAX(v0[3], v1[3]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_min(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
result[0] = MFMIN(v0[0], v1[0]);
|
|
result[1] = MFMIN(v0[1], v1[1]);
|
|
result[2] = MFMIN(v0[2], v1[2]);
|
|
result[3] = MFMIN(v0[3], v1[3]);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_clamp(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t *v2) {
|
|
vec4_min(result, v0, v1);
|
|
vec4_max(result, v0, v2);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_normalize(mfloat_t *result, mfloat_t *v0) {
|
|
mfloat_t l =
|
|
MSQRT(v0[0] * v0[0] + v0[1] * v0[1] + v0[2] * v0[2] +
|
|
v0[3] * v0[3]);
|
|
result[0] = v0[0] / l;
|
|
result[1] = v0[1] / l;
|
|
result[2] = v0[2] / l;
|
|
result[3] = v0[3] / l;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *vec4_lerp(mfloat_t *result, mfloat_t *v0, mfloat_t *v1,
|
|
mfloat_t f) {
|
|
result[0] = v0[0] + (v1[0] - v0[0]) * f;
|
|
result[1] = v0[1] + (v1[1] - v0[1]) * f;
|
|
result[2] = v0[2] + (v1[2] - v0[2]) * f;
|
|
result[3] = v0[3] + (v1[3] - v0[3]) * f;
|
|
return result;
|
|
}
|
|
|
|
bool quat_is_zero(mfloat_t *q0) {
|
|
return MFABS(q0[0]) < MFLT_EPSILON && MFABS(q0[1]) < MFLT_EPSILON && MFABS(q0[2]) < MFLT_EPSILON && MFABS(q0[3]) < MFLT_EPSILON;
|
|
}
|
|
|
|
bool quat_is_equal(mfloat_t *q0, mfloat_t *q1) {
|
|
return MFABS(q0[0] - q1[0]) < MFLT_EPSILON && MFABS(q0[1] - q1[1]) < MFLT_EPSILON && MFABS(q0[2] - q1[2]) < MFLT_EPSILON && MFABS(q0[3] - q1[3]) < MFLT_EPSILON;
|
|
}
|
|
|
|
mfloat_t *quat(mfloat_t *result, mfloat_t x, mfloat_t y, mfloat_t z,
|
|
mfloat_t w) {
|
|
result[0] = x;
|
|
result[1] = y;
|
|
result[2] = z;
|
|
result[3] = w;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_assign(mfloat_t *result, mfloat_t *q0) {
|
|
result[0] = q0[0];
|
|
result[1] = q0[1];
|
|
result[2] = q0[2];
|
|
result[3] = q0[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_null(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
/* Grassman product */
|
|
mfloat_t *quat_multiply(mfloat_t *result, const mfloat_t *q0,
|
|
const mfloat_t *q1) {
|
|
result[0] =
|
|
q0[3] * q1[0] + q0[0] * q1[3] + q0[1] * q1[2] - q0[2] * q1[1];
|
|
result[1] =
|
|
q0[3] * q1[1] + q0[1] * q1[3] + q0[2] * q1[0] - q0[0] * q1[2];
|
|
result[2] =
|
|
q0[3] * q1[2] + q0[2] * q1[3] + q0[0] * q1[1] - q0[1] * q1[0];
|
|
result[3] =
|
|
q0[3] * q1[3] - q0[0] * q1[0] - q0[1] * q1[1] - q0[2] * q1[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_mult_dir3(mfloat_t *result, const mfloat_t *q,
|
|
const mfloat_t *v) {
|
|
result[0] = q[3] * v[0] + q[0] + q[1] * v[2] - q[2] * v[1];
|
|
result[1] = q[3] * v[1] + q[1] + q[2] * v[0] - q[0] * v[2];
|
|
result[2] = q[3] * v[2] + q[2] + q[0] * v[1] - q[1] * v[0];
|
|
result[3] = q[3] - q[0] * v[0] - q[1] * v[1] - q[2] * v[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_mult_3d(mfloat_t *result, const mfloat_t *q,
|
|
const mfloat_t *p) {
|
|
result[0] = q[3] * p[0] + q[1] * p[2] - q[2] * p[1];
|
|
result[1] = q[3] * p[1] + q[2] * p[0] - q[0] * p[2];
|
|
result[2] = q[3] * p[2] + q[0] * p[1] - q[1] * p[0];
|
|
result[3] = 0 - q[0] * p[0] - q[1] * p[1] - q[2] * p[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_multiply_f(mfloat_t *result, mfloat_t *q0, mfloat_t f) {
|
|
result[0] = q0[0] * f;
|
|
result[1] = q0[1] * f;
|
|
result[2] = q0[2] * f;
|
|
result[3] = q0[3] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_divide(mfloat_t *result, mfloat_t *q0, mfloat_t *q1) {
|
|
mfloat_t x = q0[0];
|
|
mfloat_t y = q0[1];
|
|
mfloat_t z = q0[2];
|
|
mfloat_t w = q0[3];
|
|
mfloat_t ls =
|
|
q1[0] * q1[0] + q1[1] * q1[1] + q1[8] * q1[8] + q1[3] * q1[3];
|
|
mfloat_t normalized_x = -q1[0] / ls;
|
|
mfloat_t normalized_y = -q1[1] / ls;
|
|
mfloat_t normalized_z = -q1[8] / ls;
|
|
mfloat_t normalized_w = q1[3] / ls;
|
|
result[0] =
|
|
x * normalized_w + normalized_x * w + (y * normalized_z - z * normalized_y);
|
|
result[1] =
|
|
y * normalized_w + normalized_y * w + (z * normalized_x - x * normalized_z);
|
|
result[2] =
|
|
z * normalized_w + normalized_z * w + (x * normalized_y - y * normalized_x);
|
|
result[3] =
|
|
w * normalized_w - (x * normalized_x + y * normalized_y +
|
|
z * normalized_z);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_divide_f(mfloat_t *result, mfloat_t *q0, mfloat_t f) {
|
|
result[0] = q0[0] / f;
|
|
result[1] = q0[1] / f;
|
|
result[2] = q0[2] / f;
|
|
result[3] = q0[3] / f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_negative(mfloat_t *result, mfloat_t *q0) {
|
|
result[0] = -q0[0];
|
|
result[1] = -q0[1];
|
|
result[2] = -q0[2];
|
|
result[3] = -q0[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_conjugate(mfloat_t *result, const mfloat_t *q0) {
|
|
result[0] = -q0[0];
|
|
result[1] = -q0[1];
|
|
result[2] = -q0[2];
|
|
result[3] = q0[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_inverse(mfloat_t *result, mfloat_t *q0) {
|
|
mfloat_t l =
|
|
MFLOAT_C(1.0) / (q0[0] * q0[0] + q0[1] * q0[1] + q0[2] * q0[2] +
|
|
q0[3] * q0[3]);
|
|
result[0] = -q0[0] * l;
|
|
result[1] = -q0[1] * l;
|
|
result[2] = -q0[2] * l;
|
|
result[3] = q0[3] * l;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_normalize(mfloat_t *result, mfloat_t *q0) {
|
|
mfloat_t l =
|
|
MFLOAT_C(1.0) / MSQRT(q0[0] * q0[0] + q0[1] * q0[1] +
|
|
q0[2] * q0[2] + q0[3] * q0[3]);
|
|
result[0] = q0[0] * l;
|
|
result[1] = q0[1] * l;
|
|
result[2] = q0[2] * l;
|
|
result[3] = q0[3] * l;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t quat_dot(mfloat_t *q0, mfloat_t *q1) {
|
|
return q0[0] * q1[0] + q0[1] * q1[1] + q0[2] * q1[2] + q0[3] * q1[3];
|
|
}
|
|
|
|
mfloat_t *quat_power(mfloat_t *result, mfloat_t *q0, mfloat_t exponent) {
|
|
if (MFABS(q0[3]) < MFLOAT_C(1.0) - MFLT_EPSILON) {
|
|
mfloat_t alpha = MACOS(q0[3]);
|
|
mfloat_t new_alpha = alpha * exponent;
|
|
mfloat_t s = MSIN(new_alpha) / MSIN(alpha);
|
|
result[0] = result[0] * s;
|
|
result[1] = result[1] * s;
|
|
result[2] = result[2] * s;
|
|
result[3] = MCOS(new_alpha);
|
|
} else {
|
|
result[0] = q0[0];
|
|
result[1] = q0[1];
|
|
result[2] = q0[1];
|
|
result[3] = q0[3];
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_from_axis_angle(mfloat_t *result, const mfloat_t *v0,
|
|
const mfloat_t angle) {
|
|
mfloat_t half = angle * MFLOAT_C(0.5);
|
|
mfloat_t s = MSIN(half);
|
|
result[0] = v0[0] * s;
|
|
result[1] = v0[1] * s;
|
|
result[2] = v0[2] * s;
|
|
result[3] = MCOS(half);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_from_vec3(mfloat_t *result, mfloat_t *v0, mfloat_t *v1) {
|
|
mfloat_t cross[VEC3_SIZE];
|
|
mfloat_t d = vec3_dot(v0, v1);
|
|
mfloat_t a_ls = vec3_length_squared(v0);
|
|
mfloat_t b_ls = vec3_length_squared(v0);
|
|
vec3_cross(cross, v0, v1);
|
|
quat(result, cross[0], cross[1], cross[1], d + MSQRT(a_ls * b_ls));
|
|
quat_normalize(result, result);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_from_euler(mfloat_t *q, const mfloat_t *euler) {
|
|
mfloat_t qx[4], qy[4], qz[4];
|
|
quat_from_axis_angle(qx, RIGHT, euler[0]);
|
|
quat_from_axis_angle(qy, UP, euler[1]);
|
|
quat_from_axis_angle(qz, FORWARD, euler[2]);
|
|
return quat_multiply(q, qx, quat_multiply(q, qy, qz));
|
|
}
|
|
|
|
mfloat_t *quat_from_mat4(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t scale = m0[0] + m0[5] + m0[10];
|
|
if (scale > MFLOAT_C(0.0)) {
|
|
mfloat_t sr = MSQRT(scale + MFLOAT_C(1.0));
|
|
result[3] = sr * MFLOAT_C(0.5);
|
|
sr = MFLOAT_C(0.5) / sr;
|
|
result[0] = (m0[9] - m0[6]) * sr;
|
|
result[1] = (m0[2] - m0[8]) * sr;
|
|
result[2] = (m0[4] - m0[1]) * sr;
|
|
} else if ((m0[0] >= m0[5]) && (m0[0] >= m0[10])) {
|
|
mfloat_t sr = MSQRT(MFLOAT_C(1.0) + m0[0] - m0[5] - m0[10]);
|
|
mfloat_t half = MFLOAT_C(0.5) / sr;
|
|
result[0] = MFLOAT_C(0.5) * sr;
|
|
result[1] = (m0[4] + m0[1]) * half;
|
|
result[2] = (m0[8] + m0[2]) * half;
|
|
result[3] = (m0[9] - m0[6]) * half;
|
|
} else if (m0[5] > m0[10]) {
|
|
mfloat_t sr = MSQRT(MFLOAT_C(1.0) + m0[5] - m0[0] - m0[10]);
|
|
mfloat_t half = MFLOAT_C(0.5) / sr;
|
|
result[0] = (m0[1] + m0[4]) * half;
|
|
result[1] = MFLOAT_C(0.5) * sr;
|
|
result[2] = (m0[6] + m0[9]) * half;
|
|
result[3] = (m0[2] - m0[8]) * half;
|
|
} else {
|
|
mfloat_t sr = MSQRT(MFLOAT_C(1.0) + m0[10] - m0[0] - m0[5]);
|
|
mfloat_t half = MFLOAT_C(0.5) / sr;
|
|
result[0] = (m0[2] + m0[8]) * half;
|
|
result[1] = (m0[6] + m0[9]) * half;
|
|
result[2] = MFLOAT_C(0.5) * sr;
|
|
result[3] = (m0[4] - m0[1]) * half;
|
|
}
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_lerp(mfloat_t *result, mfloat_t *q0, mfloat_t *q1,
|
|
mfloat_t f) {
|
|
result[0] = q0[0] + (q1[0] - q0[0]) * f;
|
|
result[1] = q0[1] + (q1[1] - q0[1]) * f;
|
|
result[2] = q0[2] + (q1[2] - q0[2]) * f;
|
|
result[3] = q0[3] + (q1[3] - q0[3]) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *quat_slerp(mfloat_t *result, mfloat_t *q0, mfloat_t *q1,
|
|
mfloat_t f) {
|
|
mfloat_t tmp1[QUAT_SIZE];
|
|
mfloat_t d = quat_dot(q0, q1);
|
|
mfloat_t f0;
|
|
mfloat_t f1;
|
|
quat_assign(tmp1, q1);
|
|
if (d < MFLOAT_C(0.0)) {
|
|
quat_negative(tmp1, tmp1);
|
|
d = -d;
|
|
}
|
|
if (d > MFLOAT_C(0.9995)) {
|
|
f0 = MFLOAT_C(1.0) - f;
|
|
f1 = f;
|
|
} else {
|
|
mfloat_t theta = MACOS(d);
|
|
mfloat_t sin_theta = MSIN(theta);
|
|
f0 = MSIN((MFLOAT_C(1.0) - f) * theta) / sin_theta;
|
|
f1 = MSIN(f * theta) / sin_theta;
|
|
}
|
|
result[0] = q0[0] * f0 + tmp1[0] * f1;
|
|
result[1] = q0[1] * f0 + tmp1[1] * f1;
|
|
result[2] = q0[2] * f0 + tmp1[2] * f1;
|
|
result[3] = q0[3] * f0 + tmp1[3] * f1;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t quat_length(mfloat_t *q0) {
|
|
return MSQRT(q0[0] * q0[0] + q0[1] * q0[1] + q0[2] * q0[2] +
|
|
q0[3] * q0[3]);
|
|
}
|
|
|
|
mfloat_t quat_length_squared(mfloat_t *q0) {
|
|
return q0[0] * q0[0] + q0[1] * q0[1] + q0[2] * q0[2] + q0[3] * q0[3];
|
|
}
|
|
|
|
mfloat_t quat_angle(mfloat_t *q0, mfloat_t *q1) {
|
|
mfloat_t s = MSQRT(quat_length_squared(q0) * quat_length_squared(q1));
|
|
s = MFLOAT_C(1.0) / s;
|
|
return MACOS(quat_dot(q0, q1) * s);
|
|
}
|
|
|
|
mfloat_t *mat2(mfloat_t *result, mfloat_t m11, mfloat_t m12, mfloat_t m21,
|
|
mfloat_t m22) {
|
|
result[0] = m11;
|
|
result[1] = m21;
|
|
result[2] = m12;
|
|
result[3] = m22;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_identity(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t mat2_determinant(mfloat_t *m0) {
|
|
return m0[0] * m0[3] - m0[2] * m0[1];
|
|
}
|
|
|
|
mfloat_t *mat2_assign(mfloat_t *result, mfloat_t *m0) {
|
|
result[0] = m0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_negative(mfloat_t *result, mfloat_t *m0) {
|
|
result[0] = -m0[0];
|
|
result[1] = -m0[1];
|
|
result[2] = -m0[2];
|
|
result[3] = -m0[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_transpose(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t transposed[MAT2_SIZE];
|
|
transposed[0] = m0[0];
|
|
transposed[1] = m0[2];
|
|
transposed[2] = m0[1];
|
|
transposed[3] = m0[3];
|
|
result[0] = transposed[0];
|
|
result[1] = transposed[1];
|
|
result[2] = transposed[2];
|
|
result[3] = transposed[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_cofactor(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t cofactor[MAT2_SIZE];
|
|
cofactor[0] = m0[3];
|
|
cofactor[1] = -m0[2];
|
|
cofactor[2] = -m0[1];
|
|
cofactor[3] = m0[0];
|
|
result[0] = cofactor[0];
|
|
result[1] = cofactor[1];
|
|
result[2] = cofactor[2];
|
|
result[3] = cofactor[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_adjugate(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t adjugate[MAT2_SIZE];
|
|
adjugate[0] = m0[3];
|
|
adjugate[1] = -m0[1];
|
|
adjugate[2] = -m0[2];
|
|
adjugate[3] = m0[0];
|
|
result[0] = adjugate[0];
|
|
result[1] = adjugate[1];
|
|
result[2] = adjugate[2];
|
|
result[3] = adjugate[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_multiply(mfloat_t *result, mfloat_t *m0, mfloat_t *m1) {
|
|
mfloat_t multiplied[MAT3_SIZE];
|
|
multiplied[0] = m0[0] * m1[0] + m0[2] * m1[1];
|
|
multiplied[1] = m0[1] * m1[0] + m0[3] * m1[1];
|
|
multiplied[2] = m0[0] * m1[2] + m0[2] * m1[3];
|
|
multiplied[3] = m0[1] * m1[2] + m0[3] * m1[3];
|
|
result[0] = multiplied[0];
|
|
result[1] = multiplied[1];
|
|
result[2] = multiplied[2];
|
|
result[3] = multiplied[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_multiply_f(mfloat_t *result, mfloat_t *m0, mfloat_t f) {
|
|
result[0] = m0[0] * f;
|
|
result[1] = m0[1] * f;
|
|
result[2] = m0[2] * f;
|
|
result[3] = m0[3] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_inverse(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t inverse[MAT2_SIZE];
|
|
mfloat_t det = mat2_determinant(m0);
|
|
mat2_cofactor(inverse, m0);
|
|
mat2_multiply_f(inverse, inverse, MFLOAT_C(1.0) / det);
|
|
result[0] = inverse[0];
|
|
result[1] = inverse[1];
|
|
result[2] = inverse[2];
|
|
result[3] = inverse[3];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_scaling(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[3] = v0[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_scale(mfloat_t *result, mfloat_t *m0, mfloat_t *v0) {
|
|
result[0] = m0[0] * v0[0];
|
|
result[3] = m0[3] * v0[1];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_rotation_z(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[0] = c;
|
|
result[1] = s;
|
|
result[2] = -s;
|
|
result[3] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat2_lerp(mfloat_t *result, mfloat_t *m0, mfloat_t *m1,
|
|
mfloat_t f) {
|
|
result[0] = m0[0] + (m1[0] - m0[0]) * f;
|
|
result[1] = m0[1] + (m1[1] - m0[1]) * f;
|
|
result[2] = m0[2] + (m1[2] - m0[2]) * f;
|
|
result[3] = m0[3] + (m1[3] - m0[3]) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3(mfloat_t *result, mfloat_t m11, mfloat_t m12, mfloat_t m13,
|
|
mfloat_t m21, mfloat_t m22, mfloat_t m23, mfloat_t m31,
|
|
mfloat_t m32, mfloat_t m33) {
|
|
result[0] = m11;
|
|
result[1] = m21;
|
|
result[2] = m31;
|
|
result[3] = m12;
|
|
result[4] = m22;
|
|
result[5] = m32;
|
|
result[6] = m13;
|
|
result[7] = m23;
|
|
result[8] = m33;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = MFLOAT_C(0.0);
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_identity(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(1.0);
|
|
result[5] = MFLOAT_C(0.0);
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t mat3_determinant(mfloat_t *m0) {
|
|
mfloat_t m11 = m0[0];
|
|
mfloat_t m21 = m0[1];
|
|
mfloat_t m31 = m0[2];
|
|
mfloat_t m12 = m0[3];
|
|
mfloat_t m22 = m0[4];
|
|
mfloat_t m32 = m0[5];
|
|
mfloat_t m13 = m0[6];
|
|
mfloat_t m23 = m0[7];
|
|
mfloat_t m33 = m0[8];
|
|
mfloat_t determinant = m11 * m22 * m33 + m12 * m23 * m31 + m13 * m21 * m32 - m11 * m23 * m32 - m12 * m21 * m33 - m13 * m22 * m31;
|
|
return determinant;
|
|
}
|
|
|
|
mfloat_t *mat3_assign(mfloat_t *result, mfloat_t *m0) {
|
|
result[0] = m0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
result[4] = m0[4];
|
|
result[5] = m0[5];
|
|
result[6] = m0[6];
|
|
result[7] = m0[7];
|
|
result[8] = m0[8];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_negative(mfloat_t *result, mfloat_t *m0) {
|
|
result[0] = -m0[0];
|
|
result[1] = -m0[1];
|
|
result[2] = -m0[2];
|
|
result[3] = -m0[3];
|
|
result[4] = -m0[4];
|
|
result[5] = -m0[5];
|
|
result[6] = -m0[6];
|
|
result[7] = -m0[7];
|
|
result[8] = -m0[8];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_transpose(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t transposed[MAT4_SIZE];
|
|
transposed[0] = m0[0];
|
|
transposed[1] = m0[3];
|
|
transposed[2] = m0[6];
|
|
transposed[3] = m0[1];
|
|
transposed[4] = m0[4];
|
|
transposed[5] = m0[7];
|
|
transposed[6] = m0[2];
|
|
transposed[7] = m0[5];
|
|
transposed[8] = m0[8];
|
|
result[0] = transposed[0];
|
|
result[1] = transposed[1];
|
|
result[2] = transposed[2];
|
|
result[3] = transposed[3];
|
|
result[4] = transposed[4];
|
|
result[5] = transposed[5];
|
|
result[6] = transposed[6];
|
|
result[7] = transposed[7];
|
|
result[8] = transposed[8];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_cofactor(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t cofactor[MAT3_SIZE];
|
|
mfloat_t minor[MAT2_SIZE];
|
|
minor[0] = m0[4];
|
|
minor[1] = m0[5];
|
|
minor[2] = m0[7];
|
|
minor[3] = m0[8];
|
|
cofactor[0] = mat2_determinant(minor);
|
|
minor[0] = m0[3];
|
|
minor[1] = m0[5];
|
|
minor[2] = m0[6];
|
|
minor[3] = m0[8];
|
|
cofactor[1] = -mat2_determinant(minor);
|
|
minor[0] = m0[3];
|
|
minor[1] = m0[4];
|
|
minor[2] = m0[6];
|
|
minor[3] = m0[7];
|
|
cofactor[2] = mat2_determinant(minor);
|
|
minor[0] = m0[1];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[7];
|
|
minor[3] = m0[8];
|
|
cofactor[3] = -mat2_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[6];
|
|
minor[3] = m0[8];
|
|
cofactor[4] = mat2_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[6];
|
|
minor[3] = m0[7];
|
|
cofactor[5] = -mat2_determinant(minor);
|
|
minor[0] = m0[1];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[4];
|
|
minor[3] = m0[5];
|
|
cofactor[6] = mat2_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[5];
|
|
cofactor[7] = -mat2_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[4];
|
|
cofactor[8] = mat2_determinant(minor);
|
|
result[0] = cofactor[0];
|
|
result[1] = cofactor[1];
|
|
result[2] = cofactor[2];
|
|
result[3] = cofactor[3];
|
|
result[4] = cofactor[4];
|
|
result[5] = cofactor[5];
|
|
result[6] = cofactor[6];
|
|
result[7] = cofactor[7];
|
|
result[8] = cofactor[8];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_multiply(mfloat_t *result, mfloat_t *m0, mfloat_t *m1) {
|
|
mfloat_t multiplied[MAT3_SIZE];
|
|
multiplied[0] = m0[0] * m1[0] + m0[3] * m1[1] + m0[6] * m1[2];
|
|
multiplied[1] = m0[1] * m1[0] + m0[4] * m1[1] + m0[7] * m1[2];
|
|
multiplied[2] = m0[2] * m1[0] + m0[5] * m1[1] + m0[8] * m1[2];
|
|
multiplied[3] = m0[0] * m1[3] + m0[3] * m1[4] + m0[6] * m1[5];
|
|
multiplied[4] = m0[1] * m1[3] + m0[4] * m1[4] + m0[7] * m1[5];
|
|
multiplied[5] = m0[2] * m1[3] + m0[5] * m1[4] + m0[8] * m1[5];
|
|
multiplied[6] = m0[0] * m1[6] + m0[3] * m1[7] + m0[6] * m1[8];
|
|
multiplied[7] = m0[1] * m1[6] + m0[4] * m1[7] + m0[7] * m1[8];
|
|
multiplied[8] = m0[2] * m1[6] + m0[5] * m1[7] + m0[8] * m1[8];
|
|
result[0] = multiplied[0];
|
|
result[1] = multiplied[1];
|
|
result[2] = multiplied[2];
|
|
result[3] = multiplied[3];
|
|
result[4] = multiplied[4];
|
|
result[5] = multiplied[5];
|
|
result[6] = multiplied[6];
|
|
result[7] = multiplied[7];
|
|
result[8] = multiplied[8];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_multiply_f(mfloat_t *result, mfloat_t *m0, mfloat_t f) {
|
|
result[0] = m0[0] * f;
|
|
result[1] = m0[1] * f;
|
|
result[2] = m0[2] * f;
|
|
result[3] = m0[3] * f;
|
|
result[4] = m0[4] * f;
|
|
result[5] = m0[5] * f;
|
|
result[6] = m0[6] * f;
|
|
result[7] = m0[7] * f;
|
|
result[8] = m0[8] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_inverse(mfloat_t *result, mfloat_t *m0) {
|
|
result = m0;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_scaling(mfloat_t *result, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[4] = v0[1];
|
|
result[8] = v0[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_scale(mfloat_t *result, mfloat_t *m0, mfloat_t *v0) {
|
|
result[0] = m0[0] * v0[0];
|
|
result[4] = m0[4] * v0[1];
|
|
result[8] = m0[8] * v0[2];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_rotation_x(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[4] = c;
|
|
result[5] = s;
|
|
result[7] = -s;
|
|
result[8] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_rotation_y(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[0] = c;
|
|
result[2] = -s;
|
|
result[6] = s;
|
|
result[8] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_rotation_z(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[0] = c;
|
|
result[1] = s;
|
|
result[3] = -s;
|
|
result[4] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_rotation_axis(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
mfloat_t one_c = MFLOAT_C(1.0) - c;
|
|
mfloat_t x = v0[0];
|
|
mfloat_t y = v0[4];
|
|
mfloat_t z = v0[8];
|
|
mfloat_t xx = x * x;
|
|
mfloat_t xy = x * y;
|
|
mfloat_t xz = x * z;
|
|
mfloat_t yy = y * y;
|
|
mfloat_t yz = y * z;
|
|
mfloat_t zz = z * z;
|
|
mfloat_t l = xx + yy + zz;
|
|
mfloat_t sqrt_l = MSQRT(l);
|
|
result[0] = (xx + (yy + zz) * c) / l;
|
|
result[1] = (xy * one_c + v0[2] * sqrt_l * s) / l;
|
|
result[2] = (xz * one_c - v0[1] * sqrt_l * s) / l;
|
|
result[3] = (xy * one_c - v0[2] * sqrt_l * s) / l;
|
|
result[4] = (yy + (xx + zz) * c) / l;
|
|
result[5] = (yz * one_c + v0[0] * sqrt_l * s) / l;
|
|
result[6] = (xz * one_c + v0[1] * sqrt_l * s) / l;
|
|
result[7] = (yz * one_c - v0[0] * sqrt_l * s) / l;
|
|
result[8] = (zz + (xx + yy) * c) / l;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_rotation_quat(mfloat_t *result, mfloat_t *q0) {
|
|
mfloat_t xx = q0[0] * q0[0];
|
|
mfloat_t yy = q0[1] * q0[1];
|
|
mfloat_t zz = q0[2] * q0[2];
|
|
mfloat_t xy = q0[0] * q0[1];
|
|
mfloat_t zw = q0[2] * q0[3];
|
|
mfloat_t xz = q0[8] * q0[0];
|
|
mfloat_t yw = q0[1] * q0[3];
|
|
mfloat_t yz = q0[1] * q0[2];
|
|
mfloat_t xw = q0[0] * q0[3];
|
|
result[0] = MFLOAT_C(1.0) - MFLOAT_C(2.0) * (yy - zz);
|
|
result[1] = MFLOAT_C(2.0) * (xy + zw);
|
|
result[2] = MFLOAT_C(2.0) * (xz - yw);
|
|
result[3] = MFLOAT_C(2.0) * (xy - zw);
|
|
result[4] = MFLOAT_C(1.0) - MFLOAT_C(2.0) * (xx - zz);
|
|
result[5] = MFLOAT_C(2.0) * (yz + xw);
|
|
result[6] = MFLOAT_C(2.0) * (xz + yw);
|
|
result[7] = MFLOAT_C(2.0) * (yz - xw);
|
|
result[8] = MFLOAT_C(1.0) - MFLOAT_C(2.0) * (xx - yy);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat3_lerp(mfloat_t *result, mfloat_t *m0, mfloat_t *m1,
|
|
mfloat_t f) {
|
|
result[0] = m0[0] + (m1[0] - m0[0]) * f;
|
|
result[1] = m0[1] + (m1[1] - m0[1]) * f;
|
|
result[2] = m0[2] + (m1[2] - m0[2]) * f;
|
|
result[3] = m0[3] + (m1[3] - m0[3]) * f;
|
|
result[4] = m0[4] + (m1[4] - m0[4]) * f;
|
|
result[5] = m0[5] + (m1[5] - m0[5]) * f;
|
|
result[6] = m0[6] + (m1[6] - m0[6]) * f;
|
|
result[7] = m0[7] + (m1[7] - m0[7]) * f;
|
|
result[8] = m0[8] + (m1[8] - m0[8]) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4(mfloat_t *result, mfloat_t m11, mfloat_t m12, mfloat_t m13,
|
|
mfloat_t m14, mfloat_t m21, mfloat_t m22, mfloat_t m23,
|
|
mfloat_t m24, mfloat_t m31, mfloat_t m32, mfloat_t m33,
|
|
mfloat_t m34, mfloat_t m41, mfloat_t m42, mfloat_t m43,
|
|
mfloat_t m44) {
|
|
result[0] = m11;
|
|
result[1] = m21;
|
|
result[2] = m31;
|
|
result[3] = m41;
|
|
result[4] = m12;
|
|
result[5] = m22;
|
|
result[6] = m32;
|
|
result[7] = m42;
|
|
result[8] = m13;
|
|
result[9] = m23;
|
|
result[10] = m33;
|
|
result[11] = m43;
|
|
result[12] = m14;
|
|
result[13] = m24;
|
|
result[14] = m34;
|
|
result[15] = m44;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_zero(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(0.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = MFLOAT_C(0.0);
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
result[9] = MFLOAT_C(0.0);
|
|
result[10] = MFLOAT_C(0.0);
|
|
result[11] = MFLOAT_C(0.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = MFLOAT_C(0.0);
|
|
result[15] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_identity(mfloat_t *result) {
|
|
result[0] = MFLOAT_C(1.0);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = MFLOAT_C(1.0);
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
result[9] = MFLOAT_C(0.0);
|
|
result[10] = MFLOAT_C(1.0);
|
|
result[11] = MFLOAT_C(0.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = MFLOAT_C(0.0);
|
|
result[15] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t mat4_determinant(mfloat_t *m0) {
|
|
mfloat_t m11 = m0[0];
|
|
mfloat_t m21 = m0[1];
|
|
mfloat_t m31 = m0[2];
|
|
mfloat_t m41 = m0[3];
|
|
mfloat_t m12 = m0[4];
|
|
mfloat_t m22 = m0[5];
|
|
mfloat_t m32 = m0[6];
|
|
mfloat_t m42 = m0[7];
|
|
mfloat_t m13 = m0[8];
|
|
mfloat_t m23 = m0[9];
|
|
mfloat_t m33 = m0[10];
|
|
mfloat_t m43 = m0[11];
|
|
mfloat_t m14 = m0[12];
|
|
mfloat_t m24 = m0[13];
|
|
mfloat_t m34 = m0[14];
|
|
mfloat_t m44 = m0[15];
|
|
mfloat_t determinant = m14 * m23 * m32 * m41 - m13 * m24 * m32 * m41 - m14 * m22 * m33 * m41 + m12 * m24 * m33 * m41 + m13 * m22 * m34 * m41 - m12 * m23 * m34 * m41 - m14 * m23 * m31 * m42 + m13 * m24 * m31 * m42 + m14 * m21 * m33 * m42 - m11 * m24 * m33 * m42 - m13 * m21 * m34 * m42 + m11 * m23 * m34 * m42 + m14 * m22 * m31 * m43 - m12 * m24 * m31 * m43 - m14 * m21 * m32 * m43 + m11 * m24 * m32 * m43 + m12 * m21 * m34 * m43 - m11 * m22 * m34 * m43 - m13 * m22 * m31 * m44 + m12 * m23 * m31 * m44 + m13 * m21 * m32 * m44 - m11 * m23 * m32 * m44 - m12 * m21 * m33 * m44 + m11 * m22 * m33 * m44;
|
|
return determinant;
|
|
}
|
|
|
|
mfloat_t *mat4_assign(mfloat_t *result, mfloat_t *m0) {
|
|
result[0] = m0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
result[4] = m0[4];
|
|
result[5] = m0[5];
|
|
result[6] = m0[6];
|
|
result[7] = m0[7];
|
|
result[8] = m0[8];
|
|
result[9] = m0[9];
|
|
result[10] = m0[10];
|
|
result[11] = m0[11];
|
|
result[12] = m0[12];
|
|
result[13] = m0[13];
|
|
result[14] = m0[14];
|
|
result[15] = m0[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_negative(mfloat_t *result, mfloat_t *m0) {
|
|
result[0] = -m0[0];
|
|
result[1] = -m0[1];
|
|
result[2] = -m0[2];
|
|
result[3] = -m0[3];
|
|
result[4] = -m0[4];
|
|
result[5] = -m0[5];
|
|
result[6] = -m0[6];
|
|
result[7] = -m0[7];
|
|
result[8] = -m0[8];
|
|
result[9] = -m0[9];
|
|
result[10] = -m0[10];
|
|
result[11] = -m0[11];
|
|
result[12] = -m0[12];
|
|
result[13] = -m0[13];
|
|
result[14] = -m0[14];
|
|
result[15] = -m0[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_transpose(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t transposed[MAT4_SIZE];
|
|
transposed[0] = m0[0];
|
|
transposed[1] = m0[4];
|
|
transposed[2] = m0[8];
|
|
transposed[3] = m0[12];
|
|
transposed[4] = m0[1];
|
|
transposed[5] = m0[5];
|
|
transposed[6] = m0[9];
|
|
transposed[7] = m0[13];
|
|
transposed[8] = m0[2];
|
|
transposed[9] = m0[6];
|
|
transposed[10] = m0[10];
|
|
transposed[11] = m0[14];
|
|
transposed[12] = m0[3];
|
|
transposed[13] = m0[7];
|
|
transposed[14] = m0[11];
|
|
transposed[15] = m0[15];
|
|
result[0] = transposed[0];
|
|
result[1] = transposed[1];
|
|
result[2] = transposed[2];
|
|
result[3] = transposed[3];
|
|
result[4] = transposed[4];
|
|
result[5] = transposed[5];
|
|
result[6] = transposed[6];
|
|
result[7] = transposed[7];
|
|
result[8] = transposed[8];
|
|
result[9] = transposed[9];
|
|
result[10] = transposed[10];
|
|
result[11] = transposed[11];
|
|
result[12] = transposed[12];
|
|
result[13] = transposed[13];
|
|
result[14] = transposed[14];
|
|
result[15] = transposed[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_cofactor(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t cofactor[MAT4_SIZE];
|
|
mfloat_t minor[MAT3_SIZE];
|
|
minor[0] = m0[5];
|
|
minor[1] = m0[6];
|
|
minor[2] = m0[7];
|
|
minor[3] = m0[9];
|
|
minor[4] = m0[10];
|
|
minor[5] = m0[11];
|
|
minor[6] = m0[13];
|
|
minor[7] = m0[14];
|
|
minor[8] = m0[15];
|
|
cofactor[0] = mat3_determinant(minor);
|
|
minor[0] = m0[4];
|
|
minor[1] = m0[6];
|
|
minor[2] = m0[7];
|
|
minor[3] = m0[8];
|
|
minor[4] = m0[10];
|
|
minor[5] = m0[11];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[14];
|
|
minor[8] = m0[15];
|
|
cofactor[1] = -mat3_determinant(minor);
|
|
minor[0] = m0[4];
|
|
minor[1] = m0[5];
|
|
minor[2] = m0[7];
|
|
minor[3] = m0[8];
|
|
minor[4] = m0[9];
|
|
minor[5] = m0[11];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[13];
|
|
minor[8] = m0[15];
|
|
cofactor[2] = mat3_determinant(minor);
|
|
minor[0] = m0[4];
|
|
minor[1] = m0[5];
|
|
minor[2] = m0[6];
|
|
minor[3] = m0[8];
|
|
minor[4] = m0[9];
|
|
minor[5] = m0[10];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[13];
|
|
minor[8] = m0[14];
|
|
cofactor[3] = -mat3_determinant(minor);
|
|
minor[0] = m0[1];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[9];
|
|
minor[4] = m0[10];
|
|
minor[5] = m0[11];
|
|
minor[6] = m0[13];
|
|
minor[7] = m0[14];
|
|
minor[8] = m0[15];
|
|
cofactor[4] = -mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[8];
|
|
minor[4] = m0[10];
|
|
minor[5] = m0[11];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[14];
|
|
minor[8] = m0[15];
|
|
cofactor[5] = mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[8];
|
|
minor[4] = m0[9];
|
|
minor[5] = m0[11];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[13];
|
|
minor[8] = m0[15];
|
|
cofactor[6] = -mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[2];
|
|
minor[3] = m0[8];
|
|
minor[4] = m0[9];
|
|
minor[5] = m0[10];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[13];
|
|
minor[8] = m0[14];
|
|
cofactor[7] = mat3_determinant(minor);
|
|
minor[0] = m0[1];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[5];
|
|
minor[4] = m0[6];
|
|
minor[5] = m0[7];
|
|
minor[6] = m0[13];
|
|
minor[7] = m0[14];
|
|
minor[8] = m0[15];
|
|
cofactor[8] = mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[4];
|
|
minor[4] = m0[6];
|
|
minor[5] = m0[7];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[14];
|
|
minor[8] = m0[15];
|
|
cofactor[9] = -mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[4];
|
|
minor[4] = m0[5];
|
|
minor[5] = m0[7];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[13];
|
|
minor[8] = m0[15];
|
|
cofactor[10] = mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[2];
|
|
minor[3] = m0[4];
|
|
minor[4] = m0[5];
|
|
minor[5] = m0[6];
|
|
minor[6] = m0[12];
|
|
minor[7] = m0[13];
|
|
minor[8] = m0[14];
|
|
cofactor[11] = -mat3_determinant(minor);
|
|
minor[0] = m0[1];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[5];
|
|
minor[4] = m0[6];
|
|
minor[5] = m0[7];
|
|
minor[6] = m0[9];
|
|
minor[7] = m0[10];
|
|
minor[8] = m0[11];
|
|
cofactor[12] = -mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[2];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[4];
|
|
minor[4] = m0[6];
|
|
minor[5] = m0[7];
|
|
minor[6] = m0[8];
|
|
minor[7] = m0[10];
|
|
minor[8] = m0[11];
|
|
cofactor[13] = mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[3];
|
|
minor[3] = m0[4];
|
|
minor[4] = m0[5];
|
|
minor[5] = m0[7];
|
|
minor[6] = m0[8];
|
|
minor[7] = m0[9];
|
|
minor[8] = m0[11];
|
|
cofactor[14] = -mat3_determinant(minor);
|
|
minor[0] = m0[0];
|
|
minor[1] = m0[1];
|
|
minor[2] = m0[2];
|
|
minor[3] = m0[4];
|
|
minor[4] = m0[5];
|
|
minor[5] = m0[6];
|
|
minor[6] = m0[8];
|
|
minor[7] = m0[9];
|
|
minor[8] = m0[10];
|
|
cofactor[15] = mat3_determinant(minor);
|
|
result[0] = cofactor[0];
|
|
result[1] = cofactor[1];
|
|
result[2] = cofactor[2];
|
|
result[3] = cofactor[3];
|
|
result[4] = cofactor[4];
|
|
result[5] = cofactor[5];
|
|
result[6] = cofactor[6];
|
|
result[7] = cofactor[7];
|
|
result[8] = cofactor[8];
|
|
result[9] = cofactor[9];
|
|
result[10] = cofactor[10];
|
|
result[11] = cofactor[11];
|
|
result[12] = cofactor[12];
|
|
result[13] = cofactor[13];
|
|
result[14] = cofactor[14];
|
|
result[15] = cofactor[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_rotation_x(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[5] = c;
|
|
result[6] = s;
|
|
result[9] = -s;
|
|
result[10] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_rotation_y(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[0] = c;
|
|
result[2] = -s;
|
|
result[8] = s;
|
|
result[10] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_rotation_z(mfloat_t *result, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
result[0] = c;
|
|
result[1] = s;
|
|
result[4] = -s;
|
|
result[5] = c;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_rotation_axis(mfloat_t *result, mfloat_t *v0, mfloat_t f) {
|
|
mfloat_t c = MCOS(f);
|
|
mfloat_t s = MSIN(f);
|
|
mfloat_t one_c = MFLOAT_C(1.0) - c;
|
|
mfloat_t x = v0[0];
|
|
mfloat_t y = v0[1];
|
|
mfloat_t z = v0[2];
|
|
mfloat_t xx = x * x;
|
|
mfloat_t xy = x * y;
|
|
mfloat_t xz = x * z;
|
|
mfloat_t yy = y * y;
|
|
mfloat_t yz = y * z;
|
|
mfloat_t zz = z * z;
|
|
mfloat_t l = xx + yy + zz;
|
|
mfloat_t sqrt_l = MSQRT(l);
|
|
result[0] = (xx + (yy + zz) * c) / l;
|
|
result[1] = (xy * one_c + v0[2] * sqrt_l * s) / l;
|
|
result[2] = (xz * one_c - v0[1] * sqrt_l * s) / l;
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = (xy * one_c - v0[2] * sqrt_l * s) / l;
|
|
result[5] = (yy + (xx + zz) * c) / l;
|
|
result[6] = (yz * one_c + v0[0] * sqrt_l * s) / l;
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = (xz * one_c + v0[1] * sqrt_l * s) / l;
|
|
result[9] = (yz * one_c - v0[0] * sqrt_l * s) / l;
|
|
result[10] = (zz + (xx + yy) * c) / l;
|
|
result[11] = MFLOAT_C(0.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = MFLOAT_C(0.0);
|
|
result[15] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_rotation_quat(mfloat_t *result, mfloat_t *q0) {
|
|
mfloat_t xx = q0[0] * q0[0];
|
|
mfloat_t yy = q0[1] * q0[1];
|
|
mfloat_t zz = q0[2] * q0[2];
|
|
mfloat_t xy = q0[0] * q0[1];
|
|
mfloat_t zw = q0[2] * q0[3];
|
|
mfloat_t xz = q0[0] * q0[2];
|
|
mfloat_t yw = q0[1] * q0[3];
|
|
mfloat_t yz = q0[1] * q0[2];
|
|
mfloat_t xw = q0[0] * q0[3];
|
|
result[0] = MFLOAT_C(1.0) - MFLOAT_C(2.0) * (yy + zz);
|
|
result[1] = MFLOAT_C(2.0) * (xy + zw);
|
|
result[2] = MFLOAT_C(2.0) * (xz - yw);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(2.0) * (xy - zw);
|
|
result[5] = MFLOAT_C(1.0) - MFLOAT_C(2.0) * (xx + zz);
|
|
result[6] = MFLOAT_C(2.0) * (yz + xw);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(2.0) * (xz + yw);
|
|
result[9] = MFLOAT_C(2.0) * (yz - xw);
|
|
result[10] = MFLOAT_C(1.0) - MFLOAT_C(2.0) * (xx + yy);
|
|
result[11] = MFLOAT_C(0.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = MFLOAT_C(0.0);
|
|
result[15] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_translation(mfloat_t *result, mfloat_t *m0, mfloat_t *v0) {
|
|
result[0] = m0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
result[4] = m0[4];
|
|
result[5] = m0[5];
|
|
result[6] = m0[6];
|
|
result[7] = m0[7];
|
|
result[8] = m0[8];
|
|
result[9] = m0[9];
|
|
result[10] = m0[10];
|
|
result[11] = m0[11];
|
|
result[12] = v0[0];
|
|
result[13] = v0[1];
|
|
result[14] = v0[2];
|
|
result[15] = m0[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_translate(mfloat_t *result, mfloat_t *m0, mfloat_t *v0) {
|
|
result[0] = m0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
result[4] = m0[4];
|
|
result[5] = m0[5];
|
|
result[6] = m0[6];
|
|
result[7] = m0[7];
|
|
result[8] = m0[8];
|
|
result[9] = m0[9];
|
|
result[10] = m0[10];
|
|
result[11] = m0[11];
|
|
result[12] = m0[12] + v0[0];
|
|
result[13] = m0[13] + v0[1];
|
|
result[14] = m0[14] + v0[2];
|
|
result[15] = m0[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_translate_vec2(mfloat_t *mat4, mfloat_t *vec2) {
|
|
mat4[12] += vec2[0];
|
|
mat4[13] += vec2[1];
|
|
return mat4;
|
|
}
|
|
|
|
mfloat_t *mat4_translate_vec3(mfloat_t *mat4, mfloat_t *vec3) {
|
|
mat4[12] += vec3[0];
|
|
mat4[13] += vec3[1];
|
|
mat4[14] += vec3[2];
|
|
return mat4;
|
|
}
|
|
|
|
mfloat_t *mat4_scaling(mfloat_t *result, mfloat_t *m0, mfloat_t *v0) {
|
|
result[0] = v0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
result[4] = m0[4];
|
|
result[5] = v0[1];
|
|
result[6] = m0[6];
|
|
result[7] = m0[7];
|
|
result[8] = m0[8];
|
|
result[9] = m0[9];
|
|
result[10] = v0[2];
|
|
result[11] = m0[11];
|
|
result[12] = m0[12];
|
|
result[13] = m0[13];
|
|
result[14] = m0[14];
|
|
result[15] = m0[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_scale(mfloat_t *result, mfloat_t *m0, mfloat_t *v0) {
|
|
result[0] = m0[0] * v0[0];
|
|
result[1] = m0[1];
|
|
result[2] = m0[2];
|
|
result[3] = m0[3];
|
|
result[4] = m0[4];
|
|
result[5] = m0[5] * v0[1];
|
|
result[6] = m0[6];
|
|
result[7] = m0[7];
|
|
result[8] = m0[8];
|
|
result[9] = m0[9];
|
|
result[10] = m0[10] * v0[2];
|
|
result[11] = m0[11];
|
|
result[12] = m0[12];
|
|
result[13] = m0[13];
|
|
result[14] = m0[14];
|
|
result[15] = m0[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_scale_vec2(mfloat_t *mat4, mfloat_t *vec2) {
|
|
mat4[0] *= vec2[0];
|
|
mat4[5] *= vec2[1];
|
|
return mat4;
|
|
}
|
|
|
|
mfloat_t *mat4_scale_vec2f(mfloat_t *mat4, mfloat_t f) {
|
|
mat4[0] *= f;
|
|
mat4[5] *= f;
|
|
return mat4;
|
|
}
|
|
|
|
mfloat_t *mat4_scale_vec3(mfloat_t *mat4, mfloat_t *vec3) {
|
|
mat4[0] *= vec3[0];
|
|
mat4[5] *= vec3[1];
|
|
mat4[10] *= vec3[2];
|
|
return mat4;
|
|
}
|
|
|
|
mfloat_t *mat4_scale_vec3f(mfloat_t *mat4, mfloat_t f) {
|
|
mat4[0] *= f;
|
|
mat4[5] *= f;
|
|
mat4[10] *= f;
|
|
return mat4;
|
|
}
|
|
|
|
mfloat_t *mat4_multiply(mfloat_t *result, mfloat_t *m0, mfloat_t *m1) {
|
|
mfloat_t multiplied[MAT4_SIZE];
|
|
multiplied[0] =
|
|
m0[0] * m1[0] + m0[4] * m1[1] + m0[8] * m1[2] + m0[12] * m1[3];
|
|
multiplied[1] =
|
|
m0[1] * m1[0] + m0[5] * m1[1] + m0[9] * m1[2] + m0[13] * m1[3];
|
|
multiplied[2] =
|
|
m0[2] * m1[0] + m0[6] * m1[1] + m0[10] * m1[2] + m0[14] * m1[3];
|
|
multiplied[3] =
|
|
m0[3] * m1[0] + m0[7] * m1[1] + m0[11] * m1[2] + m0[15] * m1[3];
|
|
multiplied[4] =
|
|
m0[0] * m1[4] + m0[4] * m1[5] + m0[8] * m1[6] + m0[12] * m1[7];
|
|
multiplied[5] =
|
|
m0[1] * m1[4] + m0[5] * m1[5] + m0[9] * m1[6] + m0[13] * m1[7];
|
|
multiplied[6] =
|
|
m0[2] * m1[4] + m0[6] * m1[5] + m0[10] * m1[6] + m0[14] * m1[7];
|
|
multiplied[7] =
|
|
m0[3] * m1[4] + m0[7] * m1[5] + m0[11] * m1[6] + m0[15] * m1[7];
|
|
multiplied[8] =
|
|
m0[0] * m1[8] + m0[4] * m1[9] + m0[8] * m1[10] + m0[12] * m1[11];
|
|
multiplied[9] =
|
|
m0[1] * m1[8] + m0[5] * m1[9] + m0[9] * m1[10] + m0[13] * m1[11];
|
|
multiplied[10] =
|
|
m0[2] * m1[8] + m0[6] * m1[9] + m0[10] * m1[10] + m0[14] * m1[11];
|
|
multiplied[11] =
|
|
m0[3] * m1[8] + m0[7] * m1[9] + m0[11] * m1[10] + m0[15] * m1[11];
|
|
multiplied[12] =
|
|
m0[0] * m1[12] + m0[4] * m1[13] + m0[8] * m1[14] + m0[12] * m1[15];
|
|
multiplied[13] =
|
|
m0[1] * m1[12] + m0[5] * m1[13] + m0[9] * m1[14] + m0[13] * m1[15];
|
|
multiplied[14] =
|
|
m0[2] * m1[12] + m0[6] * m1[13] + m0[10] * m1[14] +
|
|
m0[14] * m1[15];
|
|
multiplied[15] =
|
|
m0[3] * m1[12] + m0[7] * m1[13] + m0[11] * m1[14] +
|
|
m0[15] * m1[15];
|
|
result[0] = multiplied[0];
|
|
result[1] = multiplied[1];
|
|
result[2] = multiplied[2];
|
|
result[3] = multiplied[3];
|
|
result[4] = multiplied[4];
|
|
result[5] = multiplied[5];
|
|
result[6] = multiplied[6];
|
|
result[7] = multiplied[7];
|
|
result[8] = multiplied[8];
|
|
result[9] = multiplied[9];
|
|
result[10] = multiplied[10];
|
|
result[11] = multiplied[11];
|
|
result[12] = multiplied[12];
|
|
result[13] = multiplied[13];
|
|
result[14] = multiplied[14];
|
|
result[15] = multiplied[15];
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_multiply_f(mfloat_t *result, mfloat_t *m0, mfloat_t f) {
|
|
result[0] = m0[0] * f;
|
|
result[1] = m0[1] * f;
|
|
result[2] = m0[2] * f;
|
|
result[3] = m0[3] * f;
|
|
result[4] = m0[4] * f;
|
|
result[5] = m0[5] * f;
|
|
result[6] = m0[6] * f;
|
|
result[7] = m0[7] * f;
|
|
result[8] = m0[8] * f;
|
|
result[9] = m0[9] * f;
|
|
result[10] = m0[10] * f;
|
|
result[11] = m0[11] * f;
|
|
result[12] = m0[12] * f;
|
|
result[13] = m0[13] * f;
|
|
result[14] = m0[14] * f;
|
|
result[15] = m0[15] * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_inverse(mfloat_t *result, mfloat_t *m0) {
|
|
mfloat_t inverse[MAT4_SIZE];
|
|
mfloat_t inverted_determinant;
|
|
mfloat_t m11 = m0[0];
|
|
mfloat_t m21 = m0[1];
|
|
mfloat_t m31 = m0[2];
|
|
mfloat_t m41 = m0[3];
|
|
mfloat_t m12 = m0[4];
|
|
mfloat_t m22 = m0[5];
|
|
mfloat_t m32 = m0[6];
|
|
mfloat_t m42 = m0[7];
|
|
mfloat_t m13 = m0[8];
|
|
mfloat_t m23 = m0[9];
|
|
mfloat_t m33 = m0[10];
|
|
mfloat_t m43 = m0[11];
|
|
mfloat_t m14 = m0[12];
|
|
mfloat_t m24 = m0[13];
|
|
mfloat_t m34 = m0[14];
|
|
mfloat_t m44 = m0[15];
|
|
inverse[0] = m22 * m33 * m44 - m22 * m43 * m34 - m23 * m32 * m44 + m23 * m42 * m34 + m24 * m32 * m43 - m24 * m42 * m33;
|
|
inverse[4] = -m12 * m33 * m44 + m12 * m43 * m34 + m13 * m32 * m44 - m13 * m42 * m34 - m14 * m32 * m43 + m14 * m42 * m33;
|
|
inverse[8] = m12 * m23 * m44 - m12 * m43 * m24 - m13 * m22 * m44 + m13 * m42 * m24 + m14 * m22 * m43 - m14 * m42 * m23;
|
|
inverse[12] = -m12 * m23 * m34 + m12 * m33 * m24 + m13 * m22 * m34 - m13 * m32 * m24 - m14 * m22 * m33 + m14 * m32 * m23;
|
|
inverse[1] = -m21 * m33 * m44 + m21 * m43 * m34 + m23 * m31 * m44 - m23 * m41 * m34 - m24 * m31 * m43 + m24 * m41 * m33;
|
|
inverse[5] = m11 * m33 * m44 - m11 * m43 * m34 - m13 * m31 * m44 + m13 * m41 * m34 + m14 * m31 * m43 - m14 * m41 * m33;
|
|
inverse[9] = -m11 * m23 * m44 + m11 * m43 * m24 + m13 * m21 * m44 - m13 * m41 * m24 - m14 * m21 * m43 + m14 * m41 * m23;
|
|
inverse[13] = m11 * m23 * m34 - m11 * m33 * m24 - m13 * m21 * m34 + m13 * m31 * m24 + m14 * m21 * m33 - m14 * m31 * m23;
|
|
inverse[2] = m21 * m32 * m44 - m21 * m42 * m34 - m22 * m31 * m44 + m22 * m41 * m34 + m24 * m31 * m42 - m24 * m41 * m32;
|
|
inverse[6] = -m11 * m32 * m44 + m11 * m42 * m34 + m12 * m31 * m44 - m12 * m41 * m34 - m14 * m31 * m42 + m14 * m41 * m32;
|
|
inverse[10] = m11 * m22 * m44 - m11 * m42 * m24 - m12 * m21 * m44 + m12 * m41 * m24 + m14 * m21 * m42 - m14 * m41 * m22;
|
|
inverse[14] = -m11 * m22 * m34 + m11 * m32 * m24 + m12 * m21 * m34 - m12 * m31 * m24 - m14 * m21 * m32 + m14 * m31 * m22;
|
|
inverse[3] = -m21 * m32 * m43 + m21 * m42 * m33 + m22 * m31 * m43 - m22 * m41 * m33 - m23 * m31 * m42 + m23 * m41 * m32;
|
|
inverse[7] = m11 * m32 * m43 - m11 * m42 * m33 - m12 * m31 * m43 + m12 * m41 * m33 + m13 * m31 * m42 - m13 * m41 * m32;
|
|
inverse[11] = -m11 * m22 * m43 + m11 * m42 * m23 + m12 * m21 * m43 - m12 * m41 * m23 - m13 * m21 * m42 + m13 * m41 * m22;
|
|
inverse[15] = m11 * m22 * m33 - m11 * m32 * m23 - m12 * m21 * m33 + m12 * m31 * m23 + m13 * m21 * m32 - m13 * m31 * m22;
|
|
inverted_determinant =
|
|
MFLOAT_C(1.0) / (m11 * inverse[0] + m21 * inverse[4] +
|
|
m31 * inverse[8] + m41 * inverse[12]);
|
|
result[0] = inverse[0] * inverted_determinant;
|
|
result[1] = inverse[1] * inverted_determinant;
|
|
result[2] = inverse[2] * inverted_determinant;
|
|
result[3] = inverse[3] * inverted_determinant;
|
|
result[4] = inverse[4] * inverted_determinant;
|
|
result[5] = inverse[5] * inverted_determinant;
|
|
result[6] = inverse[6] * inverted_determinant;
|
|
result[7] = inverse[7] * inverted_determinant;
|
|
result[8] = inverse[8] * inverted_determinant;
|
|
result[9] = inverse[9] * inverted_determinant;
|
|
result[10] = inverse[10] * inverted_determinant;
|
|
result[11] = inverse[11] * inverted_determinant;
|
|
result[12] = inverse[12] * inverted_determinant;
|
|
result[13] = inverse[13] * inverted_determinant;
|
|
result[14] = inverse[14] * inverted_determinant;
|
|
result[15] = inverse[15] * inverted_determinant;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_lerp(mfloat_t *result, mfloat_t *m0, mfloat_t *m1,
|
|
mfloat_t f) {
|
|
result[0] = m0[0] + (m1[0] - m0[0]) * f;
|
|
result[1] = m0[1] + (m1[1] - m0[1]) * f;
|
|
result[2] = m0[2] + (m1[2] - m0[2]) * f;
|
|
result[3] = m0[3] + (m1[3] - m0[3]) * f;
|
|
result[4] = m0[4] + (m1[4] - m0[4]) * f;
|
|
result[5] = m0[5] + (m1[5] - m0[5]) * f;
|
|
result[6] = m0[6] + (m1[6] - m0[6]) * f;
|
|
result[7] = m0[7] + (m1[7] - m0[7]) * f;
|
|
result[8] = m0[8] + (m1[8] - m0[8]) * f;
|
|
result[9] = m0[9] + (m1[9] - m0[9]) * f;
|
|
result[10] = m0[10] + (m1[10] - m0[10]) * f;
|
|
result[11] = m0[11] + (m1[11] - m0[11]) * f;
|
|
result[12] = m0[12] + (m1[12] - m0[12]) * f;
|
|
result[13] = m0[13] + (m1[13] - m0[13]) * f;
|
|
result[14] = m0[14] + (m1[14] - m0[14]) * f;
|
|
result[15] = m0[15] + (m1[15] - m0[15]) * f;
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_look_at(mfloat_t *result, const mfloat_t *position,
|
|
const mfloat_t *target, const mfloat_t *up) {
|
|
mfloat_t tmp_forward[VEC3_SIZE] = {0.f};
|
|
mfloat_t tmp_side[VEC3_SIZE] = {0.f};
|
|
mfloat_t tmp_up[VEC3_SIZE] = {0.f};
|
|
vec3_subtract(tmp_forward, target, position);
|
|
vec3_normalize(tmp_forward, tmp_forward);
|
|
vec3_cross(tmp_side, tmp_forward, up);
|
|
vec3_normalize(tmp_side, tmp_side);
|
|
vec3_cross(tmp_up, tmp_side, tmp_forward);
|
|
result[0] = tmp_side[0];
|
|
result[1] = tmp_up[0];
|
|
result[2] = -tmp_forward[0];
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = tmp_side[1];
|
|
result[5] = tmp_up[1];
|
|
result[6] = -tmp_forward[1];
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = tmp_side[2];
|
|
result[9] = tmp_up[2];
|
|
result[10] = -tmp_forward[2];
|
|
result[11] = MFLOAT_C(0.0);
|
|
result[12] = -vec3_dot(tmp_side, position);
|
|
result[13] = -vec3_dot(tmp_up, position);
|
|
result[14] = vec3_dot(tmp_forward, position);
|
|
result[15] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_ortho(mfloat_t *result, mfloat_t l, mfloat_t r, mfloat_t b,
|
|
mfloat_t t, mfloat_t n, mfloat_t f) {
|
|
result[0] = MFLOAT_C(2.0) / (r - l);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = MFLOAT_C(2.0) / (t - b);
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
result[9] = MFLOAT_C(0.0);
|
|
result[10] = -MFLOAT_C(2.0) / (f - n);
|
|
result[11] = MFLOAT_C(0.0);
|
|
result[12] = -((r + l) / (r - l));
|
|
result[13] = -((t + b) / (t - b));
|
|
result[14] = -((f + n) / (f - n));
|
|
result[15] = MFLOAT_C(1.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_perspective(mfloat_t *result, mfloat_t fov_y,
|
|
mfloat_t aspect, mfloat_t n, mfloat_t f) {
|
|
mfloat_t tan_half_fov_y = MFLOAT_C(1.0) / MTAN(fov_y * MFLOAT_C(0.5));
|
|
result[0] = MFLOAT_C(1.0) / aspect * tan_half_fov_y;
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = MFLOAT_C(1.0) / tan_half_fov_y;
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
result[9] = MFLOAT_C(0.0);
|
|
result[10] = f / (n - f);
|
|
result[11] = -MFLOAT_C(1.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = -(f * n) / (f - n);
|
|
result[15] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_perspective_fov(mfloat_t *result, mfloat_t fov, mfloat_t w,
|
|
mfloat_t h, mfloat_t n, mfloat_t f) {
|
|
mfloat_t h2 = MCOS(fov * MFLOAT_C(0.5)) / MSIN(fov * MFLOAT_C(0.5));
|
|
mfloat_t w2 = h2 * h / w;
|
|
result[0] = w2;
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = h2;
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
result[9] = MFLOAT_C(0.0);
|
|
result[10] = f / (n - f);
|
|
result[11] = -MFLOAT_C(1.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = -(f * n) / (f - n);
|
|
result[15] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t *mat4_perspective_infinite(mfloat_t *result, mfloat_t fov_y,
|
|
mfloat_t aspect, mfloat_t n) {
|
|
mfloat_t range = MTAN(fov_y * MFLOAT_C(0.5)) * n;
|
|
mfloat_t left = -range * aspect;
|
|
mfloat_t right = range * aspect;
|
|
mfloat_t top = range;
|
|
mfloat_t bottom = -range;
|
|
result[0] = MFLOAT_C(2.0) * n / (right - left);
|
|
result[1] = MFLOAT_C(0.0);
|
|
result[2] = MFLOAT_C(0.0);
|
|
result[3] = MFLOAT_C(0.0);
|
|
result[4] = MFLOAT_C(0.0);
|
|
result[5] = MFLOAT_C(2.0) * n / (top - bottom);
|
|
result[6] = MFLOAT_C(0.0);
|
|
result[7] = MFLOAT_C(0.0);
|
|
result[8] = MFLOAT_C(0.0);
|
|
result[9] = MFLOAT_C(0.0);
|
|
result[10] = -MFLOAT_C(1.0);
|
|
result[11] = -MFLOAT_C(1.0);
|
|
result[12] = MFLOAT_C(0.0);
|
|
result[13] = MFLOAT_C(0.0);
|
|
result[14] = -MFLOAT_C(2.0) * n;
|
|
result[15] = MFLOAT_C(0.0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
#if defined(MATHC_USE_STRUCT_FUNCTIONS)
|
|
#if defined(MATHC_USE_INT)
|
|
bool svec2i_is_zero(struct vec2i v0) {
|
|
return vec2i_is_zero((mint_t *)&v0);
|
|
}
|
|
|
|
bool svec2i_is_equal(struct vec2i v0, struct vec2i v1) {
|
|
return vec2i_is_equal((mint_t *)&v0, (mint_t *)&v1);
|
|
}
|
|
|
|
struct vec2i svec2i(mint_t x, mint_t y) {
|
|
struct vec2i result;
|
|
vec2i((mint_t *)&result, x, y);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_assign(struct vec2i v0) {
|
|
struct vec2i result;
|
|
vec2i_assign((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
struct vec2i svec2i_assign_vec2(struct vec2 v0) {
|
|
struct vec2i result;
|
|
vec2i_assign_vec2((mint_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
struct vec2i svec2i_zero(void) {
|
|
struct vec2i result;
|
|
vec2i_zero((mint_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_one(void) {
|
|
struct vec2i result;
|
|
vec2i_one((mint_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_sign(struct vec2i v0) {
|
|
struct vec2i result;
|
|
vec2i_sign((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_add(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_add((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_add_i(struct vec2i v0, mint_t i) {
|
|
struct vec2i result;
|
|
vec2i_add_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_subtract(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_subtract((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_subtract_i(struct vec2i v0, mint_t i) {
|
|
struct vec2i result;
|
|
vec2i_subtract_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_multiply(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_multiply((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_multiply_i(struct vec2i v0, mint_t i) {
|
|
struct vec2i result;
|
|
vec2i_multiply_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_divide(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_divide((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_divide_i(struct vec2i v0, mint_t i) {
|
|
struct vec2i result;
|
|
vec2i_divide_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_snap(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_snap((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_snap_i(struct vec2i v0, mint_t i) {
|
|
struct vec2i result;
|
|
vec2i_snap_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_negative(struct vec2i v0) {
|
|
struct vec2i result;
|
|
vec2i_negative((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_abs(struct vec2i v0) {
|
|
struct vec2i result;
|
|
vec2i_abs((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_max(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_max((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_min(struct vec2i v0, struct vec2i v1) {
|
|
struct vec2i result;
|
|
vec2i_min((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_clamp(struct vec2i v0, struct vec2i v1,
|
|
struct vec2i v2) {
|
|
struct vec2i result;
|
|
vec2i_clamp((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1,
|
|
(mint_t *)&v2);
|
|
return result;
|
|
}
|
|
|
|
struct vec2i svec2i_tangent(struct vec2i v0) {
|
|
struct vec2i result;
|
|
vec2i_tangent((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
bool svec3i_is_zero(struct vec3i v0) {
|
|
return vec3i_is_zero((mint_t *)&v0);
|
|
}
|
|
|
|
bool svec3i_is_equal(struct vec3i v0, struct vec3i v1) {
|
|
return vec3i_is_equal((mint_t *)&v0, (mint_t *)&v1);
|
|
}
|
|
|
|
struct vec3i svec3i(mint_t x, mint_t y, mint_t z) {
|
|
struct vec3i result;
|
|
vec3i((mint_t *)&result, x, y, z);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_assign(struct vec3i v0) {
|
|
struct vec3i result;
|
|
vec3i_assign((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
struct vec3i svec3i_assign_vec3(struct vec3 v0) {
|
|
struct vec3i result;
|
|
vec3i_assign_vec3((mint_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
struct vec3i svec3i_zero(void) {
|
|
struct vec3i result;
|
|
vec3i_zero((mint_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_one(void) {
|
|
struct vec3i result;
|
|
vec3i_one((mint_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_sign(struct vec3i v0) {
|
|
struct vec3i result;
|
|
vec3i_sign((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_add(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_add((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_add_i(struct vec3i v0, mint_t i) {
|
|
struct vec3i result;
|
|
vec3i_add_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_subtract(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_subtract((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_subtract_i(struct vec3i v0, mint_t i) {
|
|
struct vec3i result;
|
|
vec3i_subtract_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_multiply(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_multiply((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_multiply_i(struct vec3i v0, mint_t i) {
|
|
struct vec3i result;
|
|
vec3i_multiply_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_divide(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_divide((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_divide_i(struct vec3i v0, mint_t i) {
|
|
struct vec3i result;
|
|
vec3i_divide_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_snap(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_snap((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_snap_i(struct vec3i v0, mint_t i) {
|
|
struct vec3i result;
|
|
vec3i_snap_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_cross(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_cross((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_negative(struct vec3i v0) {
|
|
struct vec3i result;
|
|
vec3i_negative((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_abs(struct vec3i v0) {
|
|
struct vec3i result;
|
|
vec3i_abs((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_max(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_max((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_min(struct vec3i v0, struct vec3i v1) {
|
|
struct vec3i result;
|
|
vec3i_min((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3i svec3i_clamp(struct vec3i v0, struct vec3i v1,
|
|
struct vec3i v2) {
|
|
struct vec3i result;
|
|
vec3i_clamp((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1,
|
|
(mint_t *)&v2);
|
|
return result;
|
|
}
|
|
|
|
bool svec4i_is_zero(struct vec4i v0) {
|
|
return vec4i_is_zero((mint_t *)&v0);
|
|
}
|
|
|
|
bool svec4i_is_equal(struct vec4i v0, struct vec4i v1) {
|
|
return vec4i_is_equal((mint_t *)&v0, (mint_t *)&v1);
|
|
}
|
|
|
|
struct vec4i svec4i(mint_t x, mint_t y, mint_t z, mint_t w) {
|
|
struct vec4i result;
|
|
vec4i((mint_t *)&result, x, y, z, w);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_assign(struct vec4i v0) {
|
|
struct vec4i result;
|
|
vec4i_assign((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
struct vec4i svec4i_assign_vec4(struct vec4 v0) {
|
|
struct vec4i result;
|
|
vec4i_assign_vec4((mint_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
struct vec4i svec4i_zero(void) {
|
|
struct vec4i result;
|
|
vec4i_zero((mint_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_one(void) {
|
|
struct vec4i result;
|
|
vec4i_one((mint_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_sign(struct vec4i v0) {
|
|
struct vec4i result;
|
|
vec4i_sign((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_add(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_add((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_add_i(struct vec4i v0, mint_t i) {
|
|
struct vec4i result;
|
|
vec4i_add_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_subtract(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_subtract((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_subtract_i(struct vec4i v0, mint_t i) {
|
|
struct vec4i result;
|
|
vec4i_subtract_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_multiply(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_multiply((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_multiply_i(struct vec4i v0, mint_t i) {
|
|
struct vec4i result;
|
|
vec4i_multiply_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_divide(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_divide((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_divide_i(struct vec4i v0, mint_t i) {
|
|
struct vec4i result;
|
|
vec4i_divide_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_snap(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_snap((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_snap_i(struct vec4i v0, mint_t i) {
|
|
struct vec4i result;
|
|
vec4i_snap_i((mint_t *)&result, (mint_t *)&v0, i);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_negative(struct vec4i v0) {
|
|
struct vec4i result;
|
|
vec4i_negative((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_abs(struct vec4i v0) {
|
|
struct vec4i result;
|
|
vec4i_abs((mint_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_max(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_max((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_min(struct vec4i v0, struct vec4i v1) {
|
|
struct vec4i result;
|
|
vec4i_min((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4i svec4i_clamp(struct vec4i v0, struct vec4i v1,
|
|
struct vec4i v2) {
|
|
struct vec4i result;
|
|
vec4i_clamp((mint_t *)&result, (mint_t *)&v0, (mint_t *)&v1,
|
|
(mint_t *)&v2);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
bool svec2_is_zero(struct vec2 v0) {
|
|
return vec2_is_zero((mfloat_t *)&v0);
|
|
}
|
|
|
|
bool svec2_is_equal(struct vec2 v0, struct vec2 v1) {
|
|
return vec2_is_equal((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
struct vec2 svec2(mfloat_t x, mfloat_t y) {
|
|
struct vec2 result;
|
|
vec2((mfloat_t *)&result, x, y);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_assign(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_assign((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
struct vec2 svec2_assign_vec2i(struct vec2i v0) {
|
|
struct vec2 result;
|
|
vec2_assign_vec2i((mfloat_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
struct vec2 svec2_zero(void) {
|
|
struct vec2 result;
|
|
vec2_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_one(void) {
|
|
struct vec2 result;
|
|
vec2_one((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_sign(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_sign((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_add(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_add((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_add_f(struct vec2 v0, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_add_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_subtract(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_subtract((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_subtract_f(struct vec2 v0, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_subtract_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_multiply(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_multiply((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_multiply_f(struct vec2 v0, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_multiply_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_multiply_mat2(struct vec2 v0, struct mat2 m0) {
|
|
struct vec2 result;
|
|
vec2_multiply_mat2((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_divide(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_divide((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_divide_f(struct vec2 v0, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_divide_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_snap(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_snap((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_snap_f(struct vec2 v0, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_snap_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_negative(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_negative((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_abs(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_abs((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_floor(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_floor((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_ceil(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_ceil((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_round(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_round((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_max(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_max((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_min(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_min((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_clamp(struct vec2 v0, struct vec2 v1, struct vec2 v2) {
|
|
struct vec2 result;
|
|
vec2_clamp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1,
|
|
(mfloat_t *)&v2);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_normalize(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_normalize((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t svec2_dot(struct vec2 v0, struct vec2 v1) {
|
|
return vec2_dot((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
struct vec2 svec2_project(struct vec2 v0, struct vec2 v1) {
|
|
struct vec2 result;
|
|
vec2_project((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_slide(struct vec2 v0, struct vec2 normal) {
|
|
struct vec2 result;
|
|
vec2_slide((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&normal);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_reflect(struct vec2 v0, struct vec2 normal) {
|
|
struct vec2 result;
|
|
vec2_reflect((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&normal);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_tangent(struct vec2 v0) {
|
|
struct vec2 result;
|
|
vec2_tangent((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_rotate(struct vec2 v0, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_rotate((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_lerp(struct vec2 v0, struct vec2 v1, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_lerp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_bezier3(struct vec2 v0, struct vec2 v1, struct vec2 v2,
|
|
mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_bezier3((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1, (mfloat_t *)&v2, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec2 svec2_bezier4(struct vec2 v0, struct vec2 v1, struct vec2 v2,
|
|
struct vec2 v3, mfloat_t f) {
|
|
struct vec2 result;
|
|
vec2_bezier4((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1, (mfloat_t *)&v2, (mfloat_t *)&v3,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t svec2_angle(struct vec2 v0) {
|
|
return vec2_angle((mfloat_t *)&v0);
|
|
}
|
|
|
|
mfloat_t svec2_length(struct vec2 v0) {
|
|
return vec2_length((mfloat_t *)&v0);
|
|
}
|
|
|
|
mfloat_t svec2_length_squared(struct vec2 v0) {
|
|
return vec2_length_squared((mfloat_t *)&v0);
|
|
}
|
|
|
|
mfloat_t svec2_distance(struct vec2 v0, struct vec2 v1) {
|
|
return vec2_distance((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
mfloat_t svec2_distance_squared(struct vec2 v0, struct vec2 v1) {
|
|
return vec2_distance_squared((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
bool svec3_is_zero(struct vec3 v0) {
|
|
return vec3_is_zero((mfloat_t *)&v0);
|
|
}
|
|
|
|
bool svec3_is_equal(struct vec3 v0, struct vec3 v1) {
|
|
return vec3_is_equal((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
struct vec3 svec3(mfloat_t x, mfloat_t y, mfloat_t z) {
|
|
struct vec3 result;
|
|
vec3((mfloat_t *)&result, x, y, z);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_assign(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_assign((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
struct vec3 svec3_assign_vec3i(struct vec3i v0) {
|
|
struct vec3 result;
|
|
vec3_assign_vec3i((mfloat_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
struct vec3 svec3_zero(void) {
|
|
struct vec3 result;
|
|
vec3_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_one(void) {
|
|
struct vec3 result;
|
|
vec3_one((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_sign(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_sign((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_add(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_add((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_add_f(struct vec3 v0, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_add_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_subtract(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_subtract((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_subtract_f(struct vec3 v0, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_subtract_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_multiply(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_multiply((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_multiply_f(struct vec3 v0, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_multiply_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_multiply_mat3(struct vec3 v0, struct mat3 m0) {
|
|
struct vec3 result;
|
|
vec3_multiply_mat3((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_divide(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_divide((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_divide_f(struct vec3 v0, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_divide_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_snap(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_snap((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_snap_f(struct vec3 v0, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_snap_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_negative(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_negative((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_abs(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_abs((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_floor(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_floor((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_ceil(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_ceil((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_round(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_round((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_max(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_max((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_min(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_min((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_clamp(struct vec3 v0, struct vec3 v1, struct vec3 v2) {
|
|
struct vec3 result;
|
|
vec3_clamp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1,
|
|
(mfloat_t *)&v2);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_cross(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_cross((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_normalize(struct vec3 v0) {
|
|
struct vec3 result;
|
|
vec3_normalize((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t svec3_dot(struct vec3 v0, struct vec3 v1) {
|
|
return vec3_dot((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
struct vec3 svec3_project(struct vec3 v0, struct vec3 v1) {
|
|
struct vec3 result;
|
|
vec3_project((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_slide(struct vec3 v0, struct vec3 normal) {
|
|
struct vec3 result;
|
|
vec3_slide((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&normal);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_reflect(struct vec3 v0, struct vec3 normal) {
|
|
struct vec3 result;
|
|
vec3_reflect((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&normal);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_rotate(struct vec3 v0, struct vec3 ra, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_lerp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&ra,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_lerp(struct vec3 v0, struct vec3 v1, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_lerp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_bezier3(struct vec3 v0, struct vec3 v1, struct vec3 v2,
|
|
mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_bezier3((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1, (mfloat_t *)&v2, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec3 svec3_bezier4(struct vec3 v0, struct vec3 v1, struct vec3 v2,
|
|
struct vec3 v3, mfloat_t f) {
|
|
struct vec3 result;
|
|
vec3_bezier4((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1, (mfloat_t *)&v2, (mfloat_t *)&v3,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t svec3_length(struct vec3 v0) {
|
|
return vec3_length((mfloat_t *)&v0);
|
|
}
|
|
|
|
mfloat_t svec3_length_squared(struct vec3 v0) {
|
|
return vec3_length_squared((mfloat_t *)&v0);
|
|
}
|
|
|
|
mfloat_t svec3_distance(struct vec3 v0, struct vec3 v1) {
|
|
return vec3_distance((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
mfloat_t svec3_distance_squared(struct vec3 v0, struct vec3 v1) {
|
|
return vec3_distance_squared((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
bool svec4_is_zero(struct vec4 v0) {
|
|
return vec4_is_zero((mfloat_t *)&v0);
|
|
}
|
|
|
|
bool svec4_is_equal(struct vec4 v0, struct vec4 v1) {
|
|
return vec4_is_equal((mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
}
|
|
|
|
struct vec4 svec4(mfloat_t x, mfloat_t y, mfloat_t z, mfloat_t w) {
|
|
struct vec4 result;
|
|
vec4((mfloat_t *)&result, x, y, z, w);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_assign(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_assign((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
struct vec4 svec4_assign_vec4i(struct vec4i v0) {
|
|
struct vec4 result;
|
|
vec4_assign_vec4i((mfloat_t *)&result, (mint_t *)&v0);
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
struct vec4 svec4_zero(void) {
|
|
struct vec4 result;
|
|
vec4_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_one(void) {
|
|
struct vec4 result;
|
|
vec4_one((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_sign(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_sign((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_add(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_add((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_add_f(struct vec4 v0, mfloat_t f) {
|
|
struct vec4 result;
|
|
vec4_add_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_subtract(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_subtract((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_subtract_f(struct vec4 v0, mfloat_t f) {
|
|
struct vec4 result;
|
|
vec4_subtract_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_multiply(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_multiply((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_multiply_f(struct vec4 v0, mfloat_t f) {
|
|
struct vec4 result;
|
|
vec4_multiply_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_multiply_mat4(struct vec4 v0, struct mat4 m0) {
|
|
struct vec4 result;
|
|
vec4_multiply_mat4((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_divide(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_divide((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_divide_f(struct vec4 v0, mfloat_t f) {
|
|
struct vec4 result;
|
|
vec4_divide_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_snap(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_snap((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_snap_f(struct vec4 v0, mfloat_t f) {
|
|
struct vec4 result;
|
|
vec4_snap_f((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_negative(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_negative((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_abs(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_abs((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_floor(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_floor((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_ceil(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_ceil((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_round(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_round((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_max(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_max((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_min(struct vec4 v0, struct vec4 v1) {
|
|
struct vec4 result;
|
|
vec4_min((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_clamp(struct vec4 v0, struct vec4 v1, struct vec4 v2) {
|
|
struct vec4 result;
|
|
vec4_clamp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1,
|
|
(mfloat_t *)&v2);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_normalize(struct vec4 v0) {
|
|
struct vec4 result;
|
|
vec4_normalize((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct vec4 svec4_lerp(struct vec4 v0, struct vec4 v1, mfloat_t f) {
|
|
struct vec4 result;
|
|
vec4_lerp((mfloat_t *)&result, (mfloat_t *)&v0, (mfloat_t *)&v1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
bool squat_is_zero(struct quat q0) {
|
|
return quat_is_zero((mfloat_t *)&q0);
|
|
}
|
|
|
|
bool squat_is_equal(struct quat q0, struct quat q1) {
|
|
return quat_is_equal((mfloat_t *)&q0, (mfloat_t *)&q1);
|
|
}
|
|
|
|
// TODO: Implement
|
|
struct quat squat_from_euler(mfloat_t x, mfloat_t y, mfloat_t z) {
|
|
struct quat result = {0};
|
|
|
|
return result;
|
|
}
|
|
|
|
struct quat squat(mfloat_t x, mfloat_t y, mfloat_t z, mfloat_t w) {
|
|
struct quat result;
|
|
quat((mfloat_t *)&result, x, y, z, w);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_assign(struct quat q0) {
|
|
struct quat result;
|
|
quat_assign((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_zero(void) {
|
|
struct quat result;
|
|
quat_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_null(void) {
|
|
struct quat result;
|
|
quat_null((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_multiply(struct quat q0, struct quat q1) {
|
|
struct quat result;
|
|
quat_multiply((mfloat_t *)&result, (mfloat_t *)&q0,
|
|
(mfloat_t *)&q1);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_multiply_f(struct quat q0, mfloat_t f) {
|
|
struct quat result;
|
|
quat_multiply_f((mfloat_t *)&result, (mfloat_t *)&q0, f);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_divide(struct quat q0, struct quat q1) {
|
|
struct quat result;
|
|
quat_divide((mfloat_t *)&result, (mfloat_t *)&q0,
|
|
(mfloat_t *)&q1);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_divide_f(struct quat q0, mfloat_t f) {
|
|
struct quat result;
|
|
quat_divide_f((mfloat_t *)&result, (mfloat_t *)&q0, f);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_negative(struct quat q0) {
|
|
struct quat result;
|
|
quat_negative((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_conjugate(struct quat q0) {
|
|
struct quat result;
|
|
quat_conjugate((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_inverse(struct quat q0) {
|
|
struct quat result;
|
|
quat_inverse((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_normalize(struct quat q0) {
|
|
struct quat result;
|
|
quat_normalize((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t squat_dot(struct quat q0, struct quat q1) {
|
|
return quat_dot((mfloat_t *)&q0, (mfloat_t *)&q1);
|
|
}
|
|
|
|
struct quat squat_power(struct quat q0, mfloat_t exponent) {
|
|
struct quat result;
|
|
quat_power((mfloat_t *)&result, (mfloat_t *)&q0, exponent);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_from_axis_angle(struct vec3 v0, mfloat_t angle) {
|
|
struct quat result;
|
|
quat_from_axis_angle((mfloat_t *)&result, (mfloat_t *)&v0, angle);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_from_vec3(struct vec3 v0, struct vec3 v1) {
|
|
struct quat result;
|
|
quat_from_vec3((mfloat_t *)&result, (mfloat_t *)&v0,
|
|
(mfloat_t *)&v1);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_from_mat4(struct mat4 m0) {
|
|
struct quat result;
|
|
quat_from_mat4((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_lerp(struct quat q0, struct quat q1, mfloat_t f) {
|
|
struct quat result;
|
|
quat_lerp((mfloat_t *)&result, (mfloat_t *)&q0, (mfloat_t *)&q1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct quat squat_slerp(struct quat q0, struct quat q1, mfloat_t f) {
|
|
struct quat result;
|
|
quat_slerp((mfloat_t *)&result, (mfloat_t *)&q0, (mfloat_t *)&q1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t squat_length(struct quat q0) {
|
|
return quat_length((mfloat_t *)&q0);
|
|
}
|
|
|
|
mfloat_t squat_length_squared(struct quat q0) {
|
|
return quat_length_squared((mfloat_t *)&q0);
|
|
}
|
|
|
|
mfloat_t squat_angle(struct quat q0, struct quat q1) {
|
|
return quat_angle((mfloat_t *)&q0, (mfloat_t *)&q1);
|
|
}
|
|
|
|
struct mat2 smat2(mfloat_t m11, mfloat_t m12, mfloat_t m21, mfloat_t m22) {
|
|
struct mat2 result;
|
|
mat2((mfloat_t *)&result, m11, m12, m21, m22);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_zero(void) {
|
|
struct mat2 result;
|
|
mat2_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_identity(void) {
|
|
struct mat2 result;
|
|
mat2_identity((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t smat2_determinant(struct mat2 m0) {
|
|
return mat2_determinant((mfloat_t *)&m0);
|
|
}
|
|
|
|
struct mat2 smat2_assign(struct mat2 m0) {
|
|
struct mat2 result;
|
|
mat2_assign((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_negative(struct mat2 m0) {
|
|
struct mat2 result;
|
|
mat2_negative((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_transpose(struct mat2 m0) {
|
|
struct mat2 result;
|
|
mat2_transpose((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_cofactor(struct mat2 m0) {
|
|
struct mat2 result;
|
|
mat2_cofactor((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_adjugate(struct mat2 m0) {
|
|
struct mat2 result;
|
|
mat2_adjugate((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_multiply(struct mat2 m0, struct mat2 m1) {
|
|
struct mat2 result;
|
|
mat2_multiply((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&m1);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_multiply_f(struct mat2 m0, mfloat_t f) {
|
|
struct mat2 result;
|
|
mat2_multiply_f((mfloat_t *)&result, (mfloat_t *)&m0, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_inverse(struct mat2 m0) {
|
|
struct mat2 result;
|
|
mat2_inverse((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_scaling(struct vec2 v0) {
|
|
struct mat2 result;
|
|
mat2_scaling((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_scale(struct mat2 m0, struct vec2 v0) {
|
|
struct mat2 result;
|
|
mat2_scale((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_rotation_z(mfloat_t f) {
|
|
struct mat2 result;
|
|
mat2_rotation_z((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat2 smat2_lerp(struct mat2 m0, struct mat2 m1, mfloat_t f) {
|
|
struct mat2 result;
|
|
mat2_lerp((mfloat_t *)&result, (mfloat_t *)&m0, (mfloat_t *)&m1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3(mfloat_t m11, mfloat_t m12, mfloat_t m13, mfloat_t m21,
|
|
mfloat_t m22, mfloat_t m23, mfloat_t m31, mfloat_t m32,
|
|
mfloat_t m33) {
|
|
struct mat3 result;
|
|
mat3((mfloat_t *)&result, m11, m12, m13, m21, m22, m23, m31, m32,
|
|
m33);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_zero(void) {
|
|
struct mat3 result;
|
|
mat3_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_identity(void) {
|
|
struct mat3 result;
|
|
mat3_identity((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t smat3_determinant(struct mat3 m0) {
|
|
return mat3_determinant((mfloat_t *)&m0);
|
|
}
|
|
|
|
struct mat3 smat3_assign(struct mat3 m0) {
|
|
struct mat3 result;
|
|
mat3_assign((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_negative(struct mat3 m0) {
|
|
struct mat3 result;
|
|
mat3_negative((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_transpose(struct mat3 m0) {
|
|
struct mat3 result;
|
|
mat3_transpose((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_cofactor(struct mat3 m0) {
|
|
struct mat3 result;
|
|
mat3_cofactor((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_multiply(struct mat3 m0, struct mat3 m1) {
|
|
struct mat3 result;
|
|
mat3_multiply((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&m1);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_multiply_f(struct mat3 m0, mfloat_t f) {
|
|
struct mat3 result;
|
|
mat3_multiply_f((mfloat_t *)&result, (mfloat_t *)&m0, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_inverse(struct mat3 m0) {
|
|
struct mat3 result;
|
|
mat3_inverse((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_scaling(struct vec3 v0) {
|
|
struct mat3 result;
|
|
mat3_scaling((mfloat_t *)&result, (mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_scale(struct mat3 m0, struct vec3 v0) {
|
|
struct mat3 result;
|
|
mat3_scale((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_rotation_x(mfloat_t f) {
|
|
struct mat3 result;
|
|
mat3_rotation_x((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_rotation_y(mfloat_t f) {
|
|
struct mat3 result;
|
|
mat3_rotation_y((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_rotation_z(mfloat_t f) {
|
|
struct mat3 result;
|
|
mat3_rotation_z((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_rotation_axis(struct vec3 v0, mfloat_t f) {
|
|
struct mat3 result;
|
|
mat3_rotation_axis((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_rotation_quat(struct quat q0) {
|
|
struct mat3 result;
|
|
mat3_rotation_quat((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
struct mat3 smat3_lerp(struct mat3 m0, struct mat3 m1, mfloat_t f) {
|
|
struct mat3 result;
|
|
mat3_lerp((mfloat_t *)&result, (mfloat_t *)&m0, (mfloat_t *)&m1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4(mfloat_t m11, mfloat_t m12, mfloat_t m13, mfloat_t m14,
|
|
mfloat_t m21, mfloat_t m22, mfloat_t m23, mfloat_t m24,
|
|
mfloat_t m31, mfloat_t m32, mfloat_t m33, mfloat_t m34,
|
|
mfloat_t m41, mfloat_t m42, mfloat_t m43, mfloat_t m44) {
|
|
struct mat4 result;
|
|
mat4((mfloat_t *)&result, m11, m12, m13, m14, m21, m22, m23, m24,
|
|
m31, m32, m33, m34, m41, m42, m43, m44);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_zero(void) {
|
|
struct mat4 result;
|
|
mat4_zero((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_identity(void) {
|
|
struct mat4 result;
|
|
mat4_identity((mfloat_t *)&result);
|
|
return result;
|
|
}
|
|
|
|
mfloat_t smat4_determinant(struct mat4 m0) {
|
|
return mat4_determinant((mfloat_t *)&m0);
|
|
}
|
|
|
|
struct mat4 smat4_assign(struct mat4 m0) {
|
|
struct mat4 result;
|
|
mat4_assign((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_negative(struct mat4 m0) {
|
|
struct mat4 result;
|
|
mat4_negative((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_transpose(struct mat4 m0) {
|
|
struct mat4 result;
|
|
mat4_transpose((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_cofactor(struct mat4 m0) {
|
|
struct mat4 result;
|
|
mat4_cofactor((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_rotation_x(mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_rotation_x((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_rotation_y(mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_rotation_y((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_rotation_z(mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_rotation_z((mfloat_t *)&result, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_rotation_axis(struct vec3 v0, mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_rotation_axis((mfloat_t *)&result, (mfloat_t *)&v0, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_rotation_quat(struct quat q0) {
|
|
struct mat4 result;
|
|
mat4_rotation_quat((mfloat_t *)&result, (mfloat_t *)&q0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_translation(struct mat4 m0, struct vec3 v0) {
|
|
struct mat4 result;
|
|
mat4_translation((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_translate(struct mat4 m0, struct vec3 v0) {
|
|
struct mat4 result;
|
|
mat4_translate((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_scaling(struct mat4 m0, struct vec3 v0) {
|
|
struct mat4 result;
|
|
mat4_scaling((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_scale(struct mat4 m0, struct vec3 v0) {
|
|
struct mat4 result;
|
|
mat4_scale((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&v0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_multiply(struct mat4 m0, struct mat4 m1) {
|
|
struct mat4 result;
|
|
mat4_multiply((mfloat_t *)&result, (mfloat_t *)&m0,
|
|
(mfloat_t *)&m1);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_multiply_f(struct mat4 m0, mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_multiply_f((mfloat_t *)&result, (mfloat_t *)&m0, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_inverse(struct mat4 m0) {
|
|
struct mat4 result;
|
|
mat4_inverse((mfloat_t *)&result, (mfloat_t *)&m0);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_lerp(struct mat4 m0, struct mat4 m1, mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_lerp((mfloat_t *)&result, (mfloat_t *)&m0, (mfloat_t *)&m1,
|
|
f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_look_at(struct vec3 position, struct vec3 target,
|
|
struct vec3 up) {
|
|
struct mat4 result;
|
|
mat4_look_at((mfloat_t *)&result, (mfloat_t *)&position,
|
|
(mfloat_t *)&target, (mfloat_t *)&up);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_ortho(mfloat_t l, mfloat_t r, mfloat_t b, mfloat_t t,
|
|
mfloat_t n, mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_ortho((mfloat_t *)&result, l, r, b, t, n, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_perspective(mfloat_t fov_y, mfloat_t aspect, mfloat_t n,
|
|
mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_perspective((mfloat_t *)&result, fov_y, aspect, n, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_perspective_fov(mfloat_t fov, mfloat_t w, mfloat_t h,
|
|
mfloat_t n, mfloat_t f) {
|
|
struct mat4 result;
|
|
mat4_perspective_fov((mfloat_t *)&result, fov, w, h, n, f);
|
|
return result;
|
|
}
|
|
|
|
struct mat4 smat4_perspective_infinite(mfloat_t fov_y, mfloat_t aspect,
|
|
mfloat_t n) {
|
|
struct mat4 result;
|
|
mat4_perspective_infinite((mfloat_t *)&result, fov_y, aspect, n);
|
|
return result;
|
|
}
|
|
#endif
|
|
#endif
|
|
|
|
#if defined(MATHC_USE_POINTER_STRUCT_FUNCTIONS)
|
|
#if defined(MATHC_USE_INT)
|
|
bool psvec2i_is_zero(struct vec2i *v0) {
|
|
return vec2i_is_zero((mint_t *)v0);
|
|
}
|
|
|
|
bool psvec2i_is_equal(struct vec2i *v0, struct vec2i *v1) {
|
|
return vec2i_is_equal((mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i(struct vec2i *result, mint_t x, mint_t y) {
|
|
return (struct vec2i *)vec2i((mint_t *)result, x, y);
|
|
}
|
|
|
|
struct vec2i *psvec2i_assign(struct vec2i *result, struct vec2i *v0) {
|
|
return (struct vec2i *)vec2i_assign((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
struct vec2i *psvec2i_assign_vec2(struct vec2i *result, struct vec2 *v0) {
|
|
return (struct vec2i *)vec2i_assign_vec2((mint_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
#endif
|
|
|
|
struct vec2i *psvec2i_zero(struct vec2i *result) {
|
|
return (struct vec2i *)vec2i_zero((mint_t *)result);
|
|
}
|
|
|
|
struct vec2i *psvec2i_one(struct vec2i *result) {
|
|
return (struct vec2i *)vec2i_one((mint_t *)result);
|
|
}
|
|
|
|
struct vec2i *psvec2i_sign(struct vec2i *result, struct vec2i *v0) {
|
|
return (struct vec2i *)vec2i_sign((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
struct vec2i *psvec2i_add(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_add((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_add_i(struct vec2i *result, struct vec2i *v0,
|
|
mint_t i) {
|
|
return (struct vec2i *)vec2i_add_i((mint_t *)result, (mint_t *)v0,
|
|
i);
|
|
}
|
|
|
|
struct vec2i *psvec2i_subtract(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_subtract((mint_t *)result,
|
|
(mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_subtract_i(struct vec2i *result, struct vec2i *v0,
|
|
mint_t i) {
|
|
return (struct vec2i *)vec2i_subtract_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec2i *psvec2i_multiply(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_multiply((mint_t *)result,
|
|
(mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_multiply_i(struct vec2i *result, struct vec2i *v0,
|
|
mint_t i) {
|
|
return (struct vec2i *)vec2i_multiply_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec2i *psvec2i_divide(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_divide((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_divide_i(struct vec2i *result, struct vec2i *v0,
|
|
mint_t i) {
|
|
return (struct vec2i *)vec2i_divide_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec2i *psvec2i_snap(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_snap((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_snap_i(struct vec2i *result, struct vec2i *v0,
|
|
mint_t i) {
|
|
return (struct vec2i *)vec2i_snap_i((mint_t *)result, (mint_t *)v0,
|
|
i);
|
|
}
|
|
|
|
struct vec2i *psvec2i_negative(struct vec2i *result, struct vec2i *v0) {
|
|
return (struct vec2i *)vec2i_negative((mint_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
|
|
struct vec2i *psvec2i_abs(struct vec2i *result, struct vec2i *v0) {
|
|
return (struct vec2i *)vec2i_abs((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
struct vec2i *psvec2i_max(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_max((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_min(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1) {
|
|
return (struct vec2i *)vec2i_min((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec2i *psvec2i_clamp(struct vec2i *result, struct vec2i *v0,
|
|
struct vec2i *v1, struct vec2i *v2) {
|
|
return (struct vec2i *)vec2i_clamp((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1, (mint_t *)v2);
|
|
}
|
|
|
|
struct vec2i *psvec2i_tangent(struct vec2i *result, struct vec2i *v0) {
|
|
return (struct vec2i *)vec2i_tangent((mint_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
|
|
bool psvec3i_is_zero(struct vec3i *v0) {
|
|
return vec3i_is_zero((mint_t *)v0);
|
|
}
|
|
|
|
bool psvec3i_is_equal(struct vec3i *v0, struct vec3i *v1) {
|
|
return vec3i_is_equal((mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i(struct vec3i *result, mint_t x, mint_t y, mint_t z) {
|
|
return (struct vec3i *)vec3i((mint_t *)result, x, y, z);
|
|
}
|
|
|
|
struct vec3i *psvec3i_assign(struct vec3i *result, struct vec3i *v0) {
|
|
return (struct vec3i *)vec3i_assign((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
struct vec3i *psvec3i_assign_vec3(struct vec3i *result, struct vec3 *v0) {
|
|
return (struct vec3i *)vec3i_assign_vec3((mint_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
#endif
|
|
|
|
struct vec3i *psvec3i_zero(struct vec3i *result) {
|
|
return (struct vec3i *)vec3i_zero((mint_t *)result);
|
|
}
|
|
|
|
struct vec3i *psvec3i_one(struct vec3i *result) {
|
|
return (struct vec3i *)vec3i_one((mint_t *)result);
|
|
}
|
|
|
|
struct vec3i *psvec3i_sign(struct vec3i *result, struct vec3i *v0) {
|
|
return (struct vec3i *)vec3i_sign((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
struct vec3i *psvec3i_add(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_add((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_add_i(struct vec3i *result, struct vec3i *v0,
|
|
mint_t i) {
|
|
return (struct vec3i *)vec3i_add_i((mint_t *)result, (mint_t *)v0,
|
|
i);
|
|
}
|
|
|
|
struct vec3i *psvec3i_subtract(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_subtract((mint_t *)result,
|
|
(mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_subtract_i(struct vec3i *result, struct vec3i *v0,
|
|
mint_t i) {
|
|
return (struct vec3i *)vec3i_subtract_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec3i *psvec3i_multiply(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_multiply((mint_t *)result,
|
|
(mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_multiply_i(struct vec3i *result, struct vec3i *v0,
|
|
mint_t i) {
|
|
return (struct vec3i *)vec3i_multiply_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec3i *psvec3i_divide(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_divide((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_divide_i(struct vec3i *result, struct vec3i *v0,
|
|
mint_t i) {
|
|
return (struct vec3i *)vec3i_divide_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec3i *psvec3i_snap(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_snap((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_snap_i(struct vec3i *result, struct vec3i *v0,
|
|
mint_t i) {
|
|
return (struct vec3i *)vec3i_snap_i((mint_t *)result, (mint_t *)v0,
|
|
i);
|
|
}
|
|
|
|
struct vec3i *psvec3i_cross(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_cross((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_negative(struct vec3i *result, struct vec3i *v0) {
|
|
return (struct vec3i *)vec3i_negative((mint_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
|
|
struct vec3i *psvec3i_abs(struct vec3i *result, struct vec3i *v0) {
|
|
return (struct vec3i *)vec3i_abs((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
struct vec3i *psvec3i_max(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_max((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_min(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1) {
|
|
return (struct vec3i *)vec3i_min((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec3i *psvec3i_clamp(struct vec3i *result, struct vec3i *v0,
|
|
struct vec3i *v1, struct vec3i *v2) {
|
|
return (struct vec3i *)vec3i_clamp((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1, (mint_t *)v2);
|
|
}
|
|
|
|
bool psvec4i_is_zero(struct vec4i *v0) {
|
|
return vec4i_is_zero((mint_t *)v0);
|
|
}
|
|
|
|
bool psvec4i_is_equal(struct vec4i *v0, struct vec4i *v1) {
|
|
return vec4i_is_equal((mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i(struct vec4i *result, mint_t x, mint_t y, mint_t z,
|
|
mint_t w) {
|
|
return (struct vec4i *)vec4i((mint_t *)result, x, y, z, w);
|
|
}
|
|
|
|
struct vec4i *psvec4i_assign(struct vec4i *result, struct vec4i *v0) {
|
|
return (struct vec4i *)vec4i_assign((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
struct vec4i *psvec4i_assign_vec4(struct vec4i *result, struct vec4 *v0) {
|
|
return (struct vec4i *)vec4i_assign_vec4((mint_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
#endif
|
|
|
|
struct vec4i *psvec4i_zero(struct vec4i *result) {
|
|
return (struct vec4i *)vec4i_zero((mint_t *)result);
|
|
}
|
|
|
|
struct vec4i *psvec4i_one(struct vec4i *result) {
|
|
return (struct vec4i *)vec4i_one((mint_t *)result);
|
|
}
|
|
|
|
struct vec4i *psvec4i_sign(struct vec4i *result, struct vec4i *v0) {
|
|
return (struct vec4i *)vec4i_sign((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
struct vec4i *psvec4i_add(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_add((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_add_i(struct vec4i *result, struct vec4i *v0,
|
|
mint_t i) {
|
|
return (struct vec4i *)vec4i_add_i((mint_t *)result, (mint_t *)v0,
|
|
i);
|
|
}
|
|
|
|
struct vec4i *psvec4i_subtract(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_subtract((mint_t *)result,
|
|
(mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_subtract_i(struct vec4i *result, struct vec4i *v0,
|
|
mint_t i) {
|
|
return (struct vec4i *)vec4i_subtract_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec4i *psvec4i_multiply(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_multiply((mint_t *)result,
|
|
(mint_t *)v0, (mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_multiply_i(struct vec4i *result, struct vec4i *v0,
|
|
mint_t i) {
|
|
return (struct vec4i *)vec4i_multiply_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec4i *psvec4i_divide(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_divide((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_divide_i(struct vec4i *result, struct vec4i *v0,
|
|
mint_t i) {
|
|
return (struct vec4i *)vec4i_divide_i((mint_t *)result,
|
|
(mint_t *)v0, i);
|
|
}
|
|
|
|
struct vec4i *psvec4i_snap(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_snap((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_snap_i(struct vec4i *result, struct vec4i *v0,
|
|
mint_t i) {
|
|
return (struct vec4i *)vec4i_snap_i((mint_t *)result, (mint_t *)v0,
|
|
i);
|
|
}
|
|
|
|
struct vec4i *psvec4i_negative(struct vec4i *result, struct vec4i *v0) {
|
|
return (struct vec4i *)vec4i_negative((mint_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
|
|
struct vec4i *psvec4i_abs(struct vec4i *result, struct vec4i *v0) {
|
|
return (struct vec4i *)vec4i_abs((mint_t *)result, (mint_t *)v0);
|
|
}
|
|
|
|
struct vec4i *psvec4i_max(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_max((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_min(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1) {
|
|
return (struct vec4i *)vec4i_min((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1);
|
|
}
|
|
|
|
struct vec4i *psvec4i_clamp(struct vec4i *result, struct vec4i *v0,
|
|
struct vec4i *v1, struct vec4i *v2) {
|
|
return (struct vec4i *)vec4i_clamp((mint_t *)result, (mint_t *)v0,
|
|
(mint_t *)v1, (mint_t *)v2);
|
|
}
|
|
#endif
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT)
|
|
bool psvec2_is_zero(struct vec2 *v0) {
|
|
return vec2_is_zero((mfloat_t *)v0);
|
|
}
|
|
|
|
bool psvec2_is_equal(struct vec2 *v0, struct vec2 *v1) {
|
|
return vec2_is_equal((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2(struct vec2 *result, mfloat_t x, mfloat_t y) {
|
|
return (struct vec2 *)vec2((mfloat_t *)result, x, y);
|
|
}
|
|
|
|
struct vec2 *psvec2_assign(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_assign((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
struct vec2 *psvec2_assign_vec2i(struct vec2 *result, struct vec2i *v0) {
|
|
return (struct vec2 *)vec2_assign_vec2i((mfloat_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
#endif
|
|
|
|
struct vec2 *psvec2_zero(struct vec2 *result) {
|
|
return (struct vec2 *)vec2_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct vec2 *psvec2_one(struct vec2 *result) {
|
|
return (struct vec2 *)vec2_one((mfloat_t *)result);
|
|
}
|
|
|
|
struct vec2 *psvec2_sign(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_sign((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_add(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_add((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_add_f(struct vec2 *result, struct vec2 *v0, mfloat_t f) {
|
|
return (struct vec2 *)vec2_add_f((mfloat_t *)result, (mfloat_t *)v0,
|
|
f);
|
|
}
|
|
|
|
struct vec2 *psvec2_subtract(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_subtract((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_subtract_f(struct vec2 *result, struct vec2 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec2 *)vec2_subtract_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_multiply(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_multiply((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_multiply_f(struct vec2 *result, struct vec2 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec2 *)vec2_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_multiply_mat2(struct vec2 *result, struct vec2 *v0,
|
|
struct mat2 *m0) {
|
|
return (struct vec2 *)vec2_multiply_mat2((mfloat_t *)result,
|
|
(mfloat_t *)v0,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct vec2 *psvec2_divide(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_divide((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_divide_f(struct vec2 *result, struct vec2 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec2 *)vec2_divide_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_snap(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_snap((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_snap_f(struct vec2 *result, struct vec2 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec2 *)vec2_snap_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_negative(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_negative((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_abs(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_abs((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_floor(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_floor((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_ceil(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_ceil((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_round(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_round((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_max(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_max((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_min(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_min((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_clamp(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1, struct vec2 *v2) {
|
|
return (struct vec2 *)vec2_clamp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1, (mfloat_t *)v2);
|
|
}
|
|
|
|
struct vec2 *psvec2_normalize(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_normalize((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec2_dot(struct vec2 *v0, struct vec2 *v1) {
|
|
return vec2_dot((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_project(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1) {
|
|
return (struct vec2 *)vec2_project((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec2 *psvec2_slide(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *normal) {
|
|
return (struct vec2 *)vec2_slide((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)normal);
|
|
}
|
|
|
|
struct vec2 *psvec2_reflect(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *normal) {
|
|
return (struct vec2 *)vec2_reflect((mfloat_t *)result,
|
|
(mfloat_t *)v0,
|
|
(mfloat_t *)normal);
|
|
}
|
|
|
|
struct vec2 *psvec2_tangent(struct vec2 *result, struct vec2 *v0) {
|
|
return (struct vec2 *)vec2_tangent((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec2 *psvec2_rotate(struct vec2 *result, struct vec2 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec2 *)vec2_rotate((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_lerp(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1, mfloat_t f) {
|
|
return (struct vec2 *)vec2_lerp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_bezier3(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1, struct vec2 *v2, mfloat_t f) {
|
|
return (struct vec2 *)vec2_bezier3((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1,
|
|
(mfloat_t *)v2, f);
|
|
}
|
|
|
|
struct vec2 *psvec2_bezier4(struct vec2 *result, struct vec2 *v0,
|
|
struct vec2 *v1, struct vec2 *v2,
|
|
struct vec2 *v3, mfloat_t f) {
|
|
return (struct vec2 *)vec2_bezier4((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1,
|
|
(mfloat_t *)v2, (mfloat_t *)v3,
|
|
f);
|
|
}
|
|
|
|
mfloat_t psvec2_angle(struct vec2 *v0) {
|
|
return vec2_angle((mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec2_length(struct vec2 *v0) {
|
|
return vec2_length((mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec2_length_squared(struct vec2 *v0) {
|
|
return vec2_length_squared((mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec2_distance(struct vec2 *v0, struct vec2 *v1) {
|
|
return vec2_distance((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
mfloat_t psvec2_distance_squared(struct vec2 *v0, struct vec2 *v1) {
|
|
return vec2_distance_squared((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
bool psvec3_is_zero(struct vec3 *v0) {
|
|
return vec3_is_zero((mfloat_t *)v0);
|
|
}
|
|
|
|
bool psvec3_is_equal(struct vec3 *v0, struct vec3 *v1) {
|
|
return vec3_is_equal((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3(struct vec3 *result, mfloat_t x, mfloat_t y,
|
|
mfloat_t z) {
|
|
return (struct vec3 *)vec3((mfloat_t *)result, x, y, z);
|
|
}
|
|
|
|
struct vec3 *psvec3_assign(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_assign((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
struct vec3 *psvec3_assign_vec3i(struct vec3 *result, struct vec3i *v0) {
|
|
return (struct vec3 *)vec3_assign_vec3i((mfloat_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
#endif
|
|
|
|
struct vec3 *psvec3_zero(struct vec3 *result) {
|
|
return (struct vec3 *)vec3_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct vec3 *psvec3_one(struct vec3 *result) {
|
|
return (struct vec3 *)vec3_one((mfloat_t *)result);
|
|
}
|
|
|
|
struct vec3 *psvec3_sign(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_sign((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec3 *psvec3_add(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_add((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_add_f(struct vec3 *result, struct vec3 *v0, mfloat_t f) {
|
|
return (struct vec3 *)vec3_add_f((mfloat_t *)result, (mfloat_t *)v0,
|
|
f);
|
|
}
|
|
|
|
struct vec3 *psvec3_subtract(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_subtract((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_subtract_f(struct vec3 *result, struct vec3 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec3 *)vec3_subtract_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_multiply(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_multiply((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_multiply_f(struct vec3 *result, struct vec3 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec3 *)vec3_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_multiply_mat3(struct vec3 *result, struct vec3 *v0,
|
|
struct mat3 *m0) {
|
|
return (struct vec3 *)vec3_multiply_mat3((mfloat_t *)result,
|
|
(mfloat_t *)v0,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct vec3 *psvec3_divide(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_divide((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_divide_f(struct vec3 *result, struct vec3 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec3 *)vec3_divide_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_snap(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_snap((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_snap_f(struct vec3 *result, struct vec3 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec3 *)vec3_snap_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_negative(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_negative((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec3 *psvec3_abs(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_abs((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec3 *psvec3_floor(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_floor((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec3 *psvec3_ceil(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_ceil((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec3 *psvec3_round(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_round((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec3 *psvec3_max(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_max((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_min(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_min((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_clamp(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1, struct vec3 *v2) {
|
|
return (struct vec3 *)vec3_clamp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1, (mfloat_t *)v2);
|
|
}
|
|
|
|
struct vec3 *psvec3_cross(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_cross((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_normalize(struct vec3 *result, struct vec3 *v0) {
|
|
return (struct vec3 *)vec3_normalize((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec3_dot(struct vec3 *v0, struct vec3 *v1) {
|
|
return vec3_dot((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_project(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct vec3 *)vec3_project((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec3 *psvec3_slide(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *normal) {
|
|
return (struct vec3 *)vec3_slide((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)normal);
|
|
}
|
|
|
|
struct vec3 *psvec3_reflect(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *normal) {
|
|
return (struct vec3 *)vec3_reflect((mfloat_t *)result,
|
|
(mfloat_t *)v0,
|
|
(mfloat_t *)normal);
|
|
}
|
|
|
|
struct vec3 *psvec3_rotate(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *ra, mfloat_t f) {
|
|
return (struct vec3 *)vec3_lerp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)ra, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_lerp(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1, mfloat_t f) {
|
|
return (struct vec3 *)vec3_lerp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_bezier3(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1, struct vec3 *v2, mfloat_t f) {
|
|
return (struct vec3 *)vec3_bezier3((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1,
|
|
(mfloat_t *)v2, f);
|
|
}
|
|
|
|
struct vec3 *psvec3_bezier4(struct vec3 *result, struct vec3 *v0,
|
|
struct vec3 *v1, struct vec3 *v2,
|
|
struct vec3 *v3, mfloat_t f) {
|
|
return (struct vec3 *)vec3_bezier4((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1,
|
|
(mfloat_t *)v2, (mfloat_t *)v3,
|
|
f);
|
|
}
|
|
|
|
mfloat_t psvec3_length(struct vec3 *v0) {
|
|
return vec3_length((mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec3_length_squared(struct vec3 *v0) {
|
|
return vec3_length_squared((mfloat_t *)v0);
|
|
}
|
|
|
|
mfloat_t psvec3_distance(struct vec3 *v0, struct vec3 *v1) {
|
|
return vec3_distance((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
mfloat_t psvec3_distance_squared(struct vec3 *v0, struct vec3 *v1) {
|
|
return vec3_distance_squared((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
bool psvec4_is_zero(struct vec4 *v0) {
|
|
return vec4_is_zero((mfloat_t *)v0);
|
|
}
|
|
|
|
bool psvec4_is_equal(struct vec4 *v0, struct vec4 *v1) {
|
|
return vec4_is_equal((mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4(struct vec4 *result, mfloat_t x, mfloat_t y,
|
|
mfloat_t z, mfloat_t w) {
|
|
return (struct vec4 *)vec4((mfloat_t *)result, x, y, z, w);
|
|
}
|
|
|
|
struct vec4 *psvec4_assign(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_assign((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
#if defined(MATHC_USE_INT)
|
|
struct vec4 *psvec4_assign_vec4i(struct vec4 *result, struct vec4i *v0) {
|
|
return (struct vec4 *)vec4_assign_vec4i((mfloat_t *)result,
|
|
(mint_t *)v0);
|
|
}
|
|
#endif
|
|
|
|
struct vec4 *psvec4_zero(struct vec4 *result) {
|
|
return (struct vec4 *)vec4_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct vec4 *psvec4_one(struct vec4 *result) {
|
|
return (struct vec4 *)vec4_one((mfloat_t *)result);
|
|
}
|
|
|
|
struct vec4 *psvec4_sign(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_sign((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_add(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_add((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_add_f(struct vec4 *result, struct vec4 *v0, mfloat_t f) {
|
|
return (struct vec4 *)vec4_add_f((mfloat_t *)result, (mfloat_t *)v0,
|
|
f);
|
|
}
|
|
|
|
struct vec4 *psvec4_subtract(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_subtract((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_subtract_f(struct vec4 *result, struct vec4 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec4 *)vec4_subtract_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec4 *psvec4_multiply(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_multiply((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_multiply_f(struct vec4 *result, struct vec4 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec4 *)vec4_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec4 *psvec4_multiply_mat4(struct vec4 *result, struct vec4 *v0,
|
|
struct mat4 *m0) {
|
|
return (struct vec4 *)vec4_multiply_mat4((mfloat_t *)result,
|
|
(mfloat_t *)v0,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct vec4 *psvec4_divide(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_divide((mfloat_t *)result,
|
|
(mfloat_t *)v0, (mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_divide_f(struct vec4 *result, struct vec4 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec4 *)vec4_divide_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec4 *psvec4_snap(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_snap((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_snap_f(struct vec4 *result, struct vec4 *v0,
|
|
mfloat_t f) {
|
|
return (struct vec4 *)vec4_snap_f((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct vec4 *psvec4_negative(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_negative((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_abs(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_abs((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_floor(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_floor((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_ceil(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_ceil((mfloat_t *)result, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_round(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_round((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_max(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_max((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_min(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1) {
|
|
return (struct vec4 *)vec4_min((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct vec4 *psvec4_clamp(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1, struct vec4 *v2) {
|
|
return (struct vec4 *)vec4_clamp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1, (mfloat_t *)v2);
|
|
}
|
|
|
|
struct vec4 *psvec4_normalize(struct vec4 *result, struct vec4 *v0) {
|
|
return (struct vec4 *)vec4_normalize((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct vec4 *psvec4_lerp(struct vec4 *result, struct vec4 *v0,
|
|
struct vec4 *v1, mfloat_t f) {
|
|
return (struct vec4 *)vec4_lerp((mfloat_t *)result, (mfloat_t *)v0,
|
|
(mfloat_t *)v1, f);
|
|
}
|
|
|
|
bool psquat_is_zero(struct quat *q0) {
|
|
return quat_is_zero((mfloat_t *)q0);
|
|
}
|
|
|
|
bool psquat_is_equal(struct quat *q0, struct quat *q1) {
|
|
return quat_is_equal((mfloat_t *)q0, (mfloat_t *)q1);
|
|
}
|
|
|
|
struct quat *psquat(struct quat *result, mfloat_t x, mfloat_t y,
|
|
mfloat_t z, mfloat_t w) {
|
|
return (struct quat *)quat((mfloat_t *)result, x, y, z, w);
|
|
}
|
|
|
|
struct quat *psquat_assign(struct quat *result, struct quat *q0) {
|
|
return (struct quat *)quat_assign((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
struct quat *psquat_zero(struct quat *result) {
|
|
return (struct quat *)quat_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct quat *psquat_null(struct quat *result) {
|
|
return (struct quat *)quat_null((mfloat_t *)result);
|
|
}
|
|
|
|
struct quat *psquat_multiply(struct quat *result, struct quat *q0,
|
|
struct quat *q1) {
|
|
return (struct quat *)quat_multiply((mfloat_t *)result,
|
|
(mfloat_t *)q0, (mfloat_t *)q1);
|
|
}
|
|
|
|
struct quat *psquat_multiply_f(struct quat *result, struct quat *q0,
|
|
mfloat_t f) {
|
|
return (struct quat *)quat_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)q0, f);
|
|
}
|
|
|
|
struct quat *psquat_divide(struct quat *result, struct quat *q0,
|
|
struct quat *q1) {
|
|
return (struct quat *)quat_divide((mfloat_t *)result,
|
|
(mfloat_t *)q0, (mfloat_t *)q1);
|
|
}
|
|
|
|
struct quat *psquat_divide_f(struct quat *result, struct quat *q0,
|
|
mfloat_t f) {
|
|
return (struct quat *)quat_divide_f((mfloat_t *)result,
|
|
(mfloat_t *)q0, f);
|
|
}
|
|
|
|
struct quat *psquat_negative(struct quat *result, struct quat *q0) {
|
|
return (struct quat *)quat_negative((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
struct quat *psquat_conjugate(struct quat *result, struct quat *q0) {
|
|
return (struct quat *)quat_conjugate((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
struct quat *psquat_inverse(struct quat *result, struct quat *q0) {
|
|
return (struct quat *)quat_inverse((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
struct quat *psquat_normalize(struct quat *result, struct quat *q0) {
|
|
return (struct quat *)quat_normalize((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
mfloat_t psquat_dot(struct quat *q0, struct quat *q1) {
|
|
return quat_dot((mfloat_t *)q0, (mfloat_t *)q1);
|
|
}
|
|
|
|
struct quat *psquat_power(struct quat *result, struct quat *q0,
|
|
mfloat_t exponent) {
|
|
return (struct quat *)quat_power((mfloat_t *)result, (mfloat_t *)q0,
|
|
exponent);
|
|
}
|
|
|
|
struct quat *psquat_from_axis_angle(struct quat *result, struct vec3 *v0,
|
|
mfloat_t angle) {
|
|
return (struct quat *)quat_from_axis_angle((mfloat_t *)result,
|
|
(mfloat_t *)v0, angle);
|
|
}
|
|
|
|
struct quat *psquat_from_vec3(struct quat *result, struct vec3 *v0,
|
|
struct vec3 *v1) {
|
|
return (struct quat *)quat_from_vec3((mfloat_t *)result,
|
|
(mfloat_t *)v0,
|
|
(mfloat_t *)v1);
|
|
}
|
|
|
|
struct quat *psquat_from_mat4(struct quat *result, struct mat4 *m0) {
|
|
return (struct quat *)quat_from_mat4((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct quat *psquat_lerp(struct quat *result, struct quat *q0,
|
|
struct quat *q1, mfloat_t f) {
|
|
return (struct quat *)quat_lerp((mfloat_t *)result, (mfloat_t *)q0,
|
|
(mfloat_t *)q1, f);
|
|
}
|
|
|
|
struct quat *psquat_slerp(struct quat *result, struct quat *q0,
|
|
struct quat *q1, mfloat_t f) {
|
|
return (struct quat *)quat_slerp((mfloat_t *)result, (mfloat_t *)q0,
|
|
(mfloat_t *)q1, f);
|
|
}
|
|
|
|
mfloat_t psquat_length(struct quat *q0) {
|
|
return quat_length((mfloat_t *)q0);
|
|
}
|
|
|
|
mfloat_t psquat_length_squared(struct quat *q0) {
|
|
return quat_length_squared((mfloat_t *)q0);
|
|
}
|
|
|
|
mfloat_t psquat_angle(struct quat *q0, struct quat *q1) {
|
|
return quat_angle((mfloat_t *)q0, (mfloat_t *)q1);
|
|
}
|
|
|
|
struct mat2 *psmat2(struct mat2 *result, mfloat_t m11, mfloat_t m12,
|
|
mfloat_t m21, mfloat_t m22) {
|
|
return (struct mat2 *)mat2((mfloat_t *)result, m11, m12, m21, m22);
|
|
}
|
|
|
|
struct mat2 *psmat2_zero(struct mat2 *result) {
|
|
return (struct mat2 *)mat2_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct mat2 *psmat2_identity(struct mat2 *result) {
|
|
return (struct mat2 *)mat2_identity((mfloat_t *)result);
|
|
}
|
|
|
|
mfloat_t psmat2_determinant(struct mat2 *m0) {
|
|
return mat2_determinant((mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_assign(struct mat2 *result, struct mat2 *m0) {
|
|
return (struct mat2 *)mat2_assign((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_negative(struct mat2 *result, struct mat2 *m0) {
|
|
return (struct mat2 *)mat2_negative((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_transpose(struct mat2 *result, struct mat2 *m0) {
|
|
return (struct mat2 *)mat2_transpose((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_cofactor(struct mat2 *result, struct mat2 *m0) {
|
|
return (struct mat2 *)mat2_cofactor((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_adjugate(struct mat2 *result, struct mat2 *m0) {
|
|
return (struct mat2 *)mat2_adjugate((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_multiply(struct mat2 *result, struct mat2 *m0,
|
|
struct mat2 *m1) {
|
|
return (struct mat2 *)mat2_multiply((mfloat_t *)result,
|
|
(mfloat_t *)m0, (mfloat_t *)m1);
|
|
}
|
|
|
|
struct mat2 *psmat2_multiply_f(struct mat2 *result, struct mat2 *m0,
|
|
mfloat_t f) {
|
|
return (struct mat2 *)mat2_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)m0, f);
|
|
}
|
|
|
|
struct mat2 *psmat2_inverse(struct mat2 *result, struct mat2 *m0) {
|
|
return (struct mat2 *)mat2_inverse((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat2 *psmat2_scaling(struct mat2 *result, struct vec2 *v0) {
|
|
return (struct mat2 *)mat2_scaling((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat2 *psmat2_scale(struct mat2 *result, struct mat2 *m0,
|
|
struct vec2 *v0) {
|
|
return (struct mat2 *)mat2_scale((mfloat_t *)result, (mfloat_t *)m0,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat2 *psmat2_rotation_z(struct mat2 *result, mfloat_t f) {
|
|
return (struct mat2 *)mat2_rotation_z((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat2 *psmat2_lerp(struct mat2 *result, struct mat2 *m0,
|
|
struct mat2 *m1, mfloat_t f) {
|
|
return (struct mat2 *)mat2_lerp((mfloat_t *)result, (mfloat_t *)m0,
|
|
(mfloat_t *)m1, f);
|
|
}
|
|
|
|
struct mat3 *psmat3(struct mat3 *result, mfloat_t m11, mfloat_t m12,
|
|
mfloat_t m13, mfloat_t m21, mfloat_t m22, mfloat_t m23,
|
|
mfloat_t m31, mfloat_t m32, mfloat_t m33) {
|
|
return (struct mat3 *)mat3((mfloat_t *)result, m11, m12, m13, m21,
|
|
m22, m23, m31, m32, m33);
|
|
}
|
|
|
|
struct mat3 *psmat3_zero(struct mat3 *result) {
|
|
return (struct mat3 *)mat3_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct mat3 *psmat3_identity(struct mat3 *result) {
|
|
return (struct mat3 *)mat3_identity((mfloat_t *)result);
|
|
}
|
|
|
|
mfloat_t psmat3_determinant(struct mat3 *m0) {
|
|
return mat3_determinant((mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat3 *psmat3_assign(struct mat3 *result, struct mat3 *m0) {
|
|
return (struct mat3 *)mat3_assign((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat3 *psmat3_negative(struct mat3 *result, struct mat3 *m0) {
|
|
return (struct mat3 *)mat3_negative((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat3 *psmat3_transpose(struct mat3 *result, struct mat3 *m0) {
|
|
return (struct mat3 *)mat3_transpose((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat3 *psmat3_cofactor(struct mat3 *result, struct mat3 *m0) {
|
|
return (struct mat3 *)mat3_cofactor((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat3 *psmat3_multiply(struct mat3 *result, struct mat3 *m0,
|
|
struct mat3 *m1) {
|
|
return (struct mat3 *)mat3_multiply((mfloat_t *)result,
|
|
(mfloat_t *)m0, (mfloat_t *)m1);
|
|
}
|
|
|
|
struct mat3 *psmat3_multiply_f(struct mat3 *result, struct mat3 *m0,
|
|
mfloat_t f) {
|
|
return (struct mat3 *)mat3_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)m0, f);
|
|
}
|
|
|
|
struct mat3 *psmat3_inverse(struct mat3 *result, struct mat3 *m0) {
|
|
return (struct mat3 *)mat3_inverse((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat3 *psmat3_scaling(struct mat3 *result, struct vec3 *v0) {
|
|
return (struct mat3 *)mat3_scaling((mfloat_t *)result,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat3 *psmat3_scale(struct mat3 *result, struct mat3 *m0,
|
|
struct vec3 *v0) {
|
|
return (struct mat3 *)mat3_scale((mfloat_t *)result, (mfloat_t *)m0,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat3 *psmat3_rotation_x(struct mat3 *result, mfloat_t f) {
|
|
return (struct mat3 *)mat3_rotation_x((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat3 *psmat3_rotation_y(struct mat3 *result, mfloat_t f) {
|
|
return (struct mat3 *)mat3_rotation_y((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat3 *psmat3_rotation_z(struct mat3 *result, mfloat_t f) {
|
|
return (struct mat3 *)mat3_rotation_z((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat3 *psmat3_rotation_axis(struct mat3 *result, struct vec3 *v0,
|
|
mfloat_t f) {
|
|
return (struct mat3 *)mat3_rotation_axis((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct mat3 *psmat3_rotation_quat(struct mat3 *result, struct quat *q0) {
|
|
return (struct mat3 *)mat3_rotation_quat((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
struct mat3 *psmat3_lerp(struct mat3 *result, struct mat3 *m0,
|
|
struct mat3 *m1, mfloat_t f) {
|
|
return (struct mat3 *)mat3_lerp((mfloat_t *)result, (mfloat_t *)m0,
|
|
(mfloat_t *)m1, f);
|
|
}
|
|
|
|
struct mat4 *psmat4(struct mat4 *result, mfloat_t m11, mfloat_t m12,
|
|
mfloat_t m13, mfloat_t m14, mfloat_t m21, mfloat_t m22,
|
|
mfloat_t m23, mfloat_t m24, mfloat_t m31, mfloat_t m32,
|
|
mfloat_t m33, mfloat_t m34, mfloat_t m41, mfloat_t m42,
|
|
mfloat_t m43, mfloat_t m44) {
|
|
return (struct mat4 *)mat4((mfloat_t *)result, m11, m12, m13, m14,
|
|
m21, m22, m23, m24, m31, m32, m33, m34,
|
|
m41, m42, m43, m44);
|
|
}
|
|
|
|
struct mat4 *psmat4_zero(struct mat4 *result) {
|
|
return (struct mat4 *)mat4_zero((mfloat_t *)result);
|
|
}
|
|
|
|
struct mat4 *psmat4_identity(struct mat4 *result) {
|
|
return (struct mat4 *)mat4_identity((mfloat_t *)result);
|
|
}
|
|
|
|
mfloat_t psmat4_determinant(struct mat4 *m0) {
|
|
return mat4_determinant((mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat4 *psmat4_assign(struct mat4 *result, struct mat4 *m0) {
|
|
return (struct mat4 *)mat4_assign((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat4 *psmat4_negative(struct mat4 *result, struct mat4 *m0) {
|
|
return (struct mat4 *)mat4_negative((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat4 *psmat4_transpose(struct mat4 *result, struct mat4 *m0) {
|
|
return (struct mat4 *)mat4_transpose((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat4 *psmat4_cofactor(struct mat4 *result, struct mat4 *m0) {
|
|
return (struct mat4 *)mat4_cofactor((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat4 *psmat4_rotation_x(struct mat4 *result, mfloat_t f) {
|
|
return (struct mat4 *)mat4_rotation_x((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_rotation_y(struct mat4 *result, mfloat_t f) {
|
|
return (struct mat4 *)mat4_rotation_y((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_rotation_z(struct mat4 *result, mfloat_t f) {
|
|
return (struct mat4 *)mat4_rotation_z((mfloat_t *)result, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_rotation_axis(struct mat4 *result, struct vec3 *v0,
|
|
mfloat_t f) {
|
|
return (struct mat4 *)mat4_rotation_axis((mfloat_t *)result,
|
|
(mfloat_t *)v0, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_rotation_quat(struct mat4 *result, struct quat *q0) {
|
|
return (struct mat4 *)mat4_rotation_quat((mfloat_t *)result,
|
|
(mfloat_t *)q0);
|
|
}
|
|
|
|
struct mat4 *psmat4_translation(struct mat4 *result, struct mat4 *m0,
|
|
struct vec3 *v0) {
|
|
return (struct mat4 *)mat4_translation((mfloat_t *)result,
|
|
(mfloat_t *)m0,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat4 *psmat4_translate(struct mat4 *result, struct mat4 *m0,
|
|
struct vec3 *v0) {
|
|
return (struct mat4 *)mat4_translate((mfloat_t *)result,
|
|
(mfloat_t *)m0,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat4 *psmat4_scaling(struct mat4 *result, struct mat4 *m0,
|
|
struct vec3 *v0) {
|
|
return (struct mat4 *)mat4_scaling((mfloat_t *)result,
|
|
(mfloat_t *)m0, (mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat4 *psmat4_scale(struct mat4 *result, struct mat4 *m0,
|
|
struct vec3 *v0) {
|
|
return (struct mat4 *)mat4_scale((mfloat_t *)result, (mfloat_t *)m0,
|
|
(mfloat_t *)v0);
|
|
}
|
|
|
|
struct mat4 *psmat4_multiply(struct mat4 *result, struct mat4 *m0,
|
|
struct mat4 *m1) {
|
|
return (struct mat4 *)mat4_multiply((mfloat_t *)result,
|
|
(mfloat_t *)m0, (mfloat_t *)m1);
|
|
}
|
|
|
|
struct mat4 *psmat4_multiply_f(struct mat4 *result, struct mat4 *m0,
|
|
mfloat_t f) {
|
|
return (struct mat4 *)mat4_multiply_f((mfloat_t *)result,
|
|
(mfloat_t *)m0, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_inverse(struct mat4 *result, struct mat4 *m0) {
|
|
return (struct mat4 *)mat4_inverse((mfloat_t *)result,
|
|
(mfloat_t *)m0);
|
|
}
|
|
|
|
struct mat4 *psmat4_lerp(struct mat4 *result, struct mat4 *m0,
|
|
struct mat4 *m1, mfloat_t f) {
|
|
return (struct mat4 *)mat4_lerp((mfloat_t *)result, (mfloat_t *)m0,
|
|
(mfloat_t *)m1, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_look_at(struct mat4 *result, struct vec3 *position,
|
|
struct vec3 *target, struct vec3 *up) {
|
|
return (struct mat4 *)mat4_look_at((mfloat_t *)result,
|
|
(mfloat_t *)position,
|
|
(mfloat_t *)target,
|
|
(mfloat_t *)up);
|
|
}
|
|
|
|
struct mat4 *psmat4_ortho(struct mat4 *result, mfloat_t l, mfloat_t r,
|
|
mfloat_t b, mfloat_t t, mfloat_t n, mfloat_t f) {
|
|
return (struct mat4 *)mat4_ortho((mfloat_t *)result, l, r, b, t, n,
|
|
f);
|
|
}
|
|
|
|
struct mat4 *psmat4_perspective(struct mat4 *result, mfloat_t fov_y,
|
|
mfloat_t aspect, mfloat_t n, mfloat_t f) {
|
|
return (struct mat4 *)mat4_perspective((mfloat_t *)result, fov_y,
|
|
aspect, n, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_perspective_fov(struct mat4 *result, mfloat_t fov,
|
|
mfloat_t w, mfloat_t h, mfloat_t n,
|
|
mfloat_t f) {
|
|
return (struct mat4 *)mat4_perspective_fov((mfloat_t *)result, fov,
|
|
w, h, n, f);
|
|
}
|
|
|
|
struct mat4 *psmat4_perspective_infinite(struct mat4 *result,
|
|
mfloat_t fov_y, mfloat_t aspect,
|
|
mfloat_t n) {
|
|
return (struct mat4 *)mat4_perspective_infinite((mfloat_t *)result,
|
|
fov_y, aspect, n);
|
|
}
|
|
#endif
|
|
#endif
|
|
|
|
#if defined(MATHC_USE_FLOATING_POINT) && defined(MATHC_USE_EASING_FUNCTIONS)
|
|
mfloat_t quadratic_ease_out(mfloat_t f) {
|
|
return -f * (f - MFLOAT_C(2.0));
|
|
}
|
|
|
|
mfloat_t quadratic_ease_in(mfloat_t f) {
|
|
return f * f;
|
|
}
|
|
|
|
mfloat_t quadratic_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(2.0) * f * f;
|
|
} else {
|
|
a = -MFLOAT_C(2.0) * f * f + MFLOAT_C(4.0) * f - MFLOAT_C(1.0);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t cubic_ease_out(mfloat_t f) {
|
|
mfloat_t a = f - MFLOAT_C(1.0);
|
|
return a * a * a + MFLOAT_C(1.0);
|
|
}
|
|
|
|
mfloat_t cubic_ease_in(mfloat_t f) {
|
|
return f * f * f;
|
|
}
|
|
|
|
mfloat_t cubic_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(4.0) * f * f * f;
|
|
} else {
|
|
a = MFLOAT_C(2.0) * f - MFLOAT_C(2.0);
|
|
a = MFLOAT_C(0.5) * a * a * a + MFLOAT_C(1.0);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t quartic_ease_out(mfloat_t f) {
|
|
mfloat_t a = f - MFLOAT_C(1.0);
|
|
return a * a * a * (MFLOAT_C(1.0) - f) + MFLOAT_C(1.0);
|
|
}
|
|
|
|
mfloat_t quartic_ease_in(mfloat_t f) {
|
|
return f * f * f * f;
|
|
}
|
|
|
|
mfloat_t quartic_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(8.0) * f * f * f * f;
|
|
} else {
|
|
a = f - MFLOAT_C(1.0);
|
|
a = -MFLOAT_C(8.0) * a * a * a * a + MFLOAT_C(1.0);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t quintic_ease_out(mfloat_t f) {
|
|
mfloat_t a = f - MFLOAT_C(1.0);
|
|
return a * a * a * a * a + MFLOAT_C(1.0);
|
|
}
|
|
|
|
mfloat_t quintic_ease_in(mfloat_t f) {
|
|
return f * f * f * f * f;
|
|
}
|
|
|
|
mfloat_t quintic_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(16.0) * f * f * f * f * f;
|
|
} else {
|
|
a = MFLOAT_C(2.0) * f - MFLOAT_C(2.0);
|
|
a = MFLOAT_C(0.5) * a * a * a * a * a + MFLOAT_C(1.0);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t sine_ease_out(mfloat_t f) {
|
|
return MSIN(f * MPI_2);
|
|
}
|
|
|
|
mfloat_t sine_ease_in(mfloat_t f) {
|
|
return MSIN((f - MFLOAT_C(1.0)) * MPI_2) + MFLOAT_C(1.0);
|
|
}
|
|
|
|
mfloat_t sine_ease_in_out(mfloat_t f) {
|
|
return MFLOAT_C(0.5) * (MFLOAT_C(1.0) - MCOS(f * MPI));
|
|
}
|
|
|
|
mfloat_t circular_ease_out(mfloat_t f) {
|
|
return MSQRT((MFLOAT_C(2.0) - f) * f);
|
|
}
|
|
|
|
mfloat_t circular_ease_in(mfloat_t f) {
|
|
return MFLOAT_C(1.0) - MSQRT(MFLOAT_C(1.0) - (f * f));
|
|
}
|
|
|
|
mfloat_t circular_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(0.5) * (MFLOAT_C(1.0) -
|
|
MSQRT(MFLOAT_C(1.0) - MFLOAT_C(4.0) * f * f));
|
|
} else {
|
|
a = MFLOAT_C(0.5) *
|
|
(MSQRT(-(MFLOAT_C(2.0) * f - MFLOAT_C(3.0)) *
|
|
(MFLOAT_C(2.0) * f - MFLOAT_C(1.0))) +
|
|
MFLOAT_C(1.0));
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t exponential_ease_out(mfloat_t f) {
|
|
mfloat_t a = f;
|
|
if (MFABS(a) > MFLT_EPSILON) {
|
|
a = MFLOAT_C(1.0) - MPOW(MFLOAT_C(2.0), -MFLOAT_C(10.0) * f);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t exponential_ease_in(mfloat_t f) {
|
|
mfloat_t a = f;
|
|
if (MFABS(a) > MFLT_EPSILON) {
|
|
a = MPOW(MFLOAT_C(2.0), MFLOAT_C(10.0) * (f - MFLOAT_C(1.0)));
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t exponential_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = f;
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(0.5) * MPOW(MFLOAT_C(2.0),
|
|
(MFLOAT_C(20.0) * f) - MFLOAT_C(10.0));
|
|
} else {
|
|
a = -MFLOAT_C(0.5) * MPOW(MFLOAT_C(2.0),
|
|
-MFLOAT_C(20.0) * f + MFLOAT_C(10.0)) +
|
|
MFLOAT_C(1.0);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t elastic_ease_out(mfloat_t f) {
|
|
return MSIN(-MFLOAT_C(13.0) * MPI_2 * (f + MFLOAT_C(1.0))) *
|
|
MPOW(MFLOAT_C(2.0), -MFLOAT_C(10.0) * f) +
|
|
MFLOAT_C(1.0);
|
|
}
|
|
|
|
mfloat_t elastic_ease_in(mfloat_t f) {
|
|
return MSIN(MFLOAT_C(13.0) * MPI_2 * f) * MPOW(MFLOAT_C(2.0),
|
|
MFLOAT_C(10.0) * (f -
|
|
MFLOAT_C(1.0)));
|
|
}
|
|
|
|
mfloat_t elastic_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(0.5) * MSIN(MFLOAT_C(13.0) * MPI_2 * (MFLOAT_C(2.0) * f)) * MPOW(MFLOAT_C(2.0), MFLOAT_C(10.0) * ((MFLOAT_C(2.0) * f) - MFLOAT_C(1.0)));
|
|
} else {
|
|
a = MFLOAT_C(0.5) *
|
|
(MSIN(-MFLOAT_C(13.0) * MPI_2 *
|
|
((MFLOAT_C(2.0) * f - MFLOAT_C(1.0)) +
|
|
MFLOAT_C(1.0))) *
|
|
MPOW(MFLOAT_C(2.0),
|
|
-MFLOAT_C(10.0) * (MFLOAT_C(2.0) *
|
|
f -
|
|
MFLOAT_C(1.0))) +
|
|
MFLOAT_C(2.0));
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t back_ease_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(1.0) - f;
|
|
return MFLOAT_C(1.0) - (a * a * a - a * MSIN(a * MPI));
|
|
}
|
|
|
|
mfloat_t back_ease_in(mfloat_t f) {
|
|
return f * f * f - f * MSIN(f * MPI);
|
|
}
|
|
|
|
mfloat_t back_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(2.0) * f;
|
|
a = MFLOAT_C(0.5) * (a * a * a - a * MSIN(a * MPI));
|
|
} else {
|
|
a = (MFLOAT_C(1.0) - (MFLOAT_C(2.0) * f - MFLOAT_C(1.0)));
|
|
a = MFLOAT_C(0.5) * (MFLOAT_C(1.0) -
|
|
(a * a * a - a * MSIN(f * MPI))) +
|
|
MFLOAT_C(0.5);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t bounce_ease_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(4.0) / MFLOAT_C(11.0)) {
|
|
a = (MFLOAT_C(121.0) * f * f) / MFLOAT_C(16.0);
|
|
} else if (f < MFLOAT_C(8.0) / MFLOAT_C(11.0)) {
|
|
a = (MFLOAT_C(363.0) / MFLOAT_C(40.0) * f * f) -
|
|
(MFLOAT_C(99.0) / MFLOAT_C(10.0) * f) +
|
|
MFLOAT_C(17.0) / MFLOAT_C(5.0);
|
|
} else if (f < MFLOAT_C(9.0) / MFLOAT_C(10.0)) {
|
|
a = (MFLOAT_C(4356.0) / MFLOAT_C(361.0) * f * f) -
|
|
(MFLOAT_C(35442.0) / MFLOAT_C(1805.0) * f) +
|
|
MFLOAT_C(16061.0) / MFLOAT_C(1805.0);
|
|
} else {
|
|
a = (MFLOAT_C(54.0) / MFLOAT_C(5.0) * f * f) -
|
|
(MFLOAT_C(513.0) / MFLOAT_C(25.0) * f) +
|
|
MFLOAT_C(268.0) / MFLOAT_C(25.0);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
mfloat_t bounce_ease_in(mfloat_t f) {
|
|
return MFLOAT_C(1.0) - bounce_ease_out(MFLOAT_C(1.0) - f);
|
|
}
|
|
|
|
mfloat_t bounce_ease_in_out(mfloat_t f) {
|
|
mfloat_t a = MFLOAT_C(0.0);
|
|
if (f < MFLOAT_C(0.5)) {
|
|
a = MFLOAT_C(0.5) * bounce_ease_in(f * MFLOAT_C(2.0));
|
|
} else {
|
|
a = MFLOAT_C(0.5) * bounce_ease_out(f * MFLOAT_C(2.0) -
|
|
MFLOAT_C(1.0)) +
|
|
MFLOAT_C(0.5);
|
|
}
|
|
return a;
|
|
}
|
|
#endif
|