/* * Copyright (c) 2018-2022 Jean-Philippe Bruyère * * Permission is hereby granted, free of charge, to any person obtaining a copy of * this software and associated documentation files (the "Software"), to deal in * the Software without restriction, including without limitation the rights to use, * copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the * Software, and to permit persons to whom the Software is furnished to do so, subject * to the following conditions: * * The above copyright notice and this permission notice shall be included in all * copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN * THE SOFTWARE. */ #ifndef VKVG_VECTORS_H #define VKVG_VECTORS_H #include "vkvg_internal.h" typedef struct { float x; float y; } vec2; static const vec2 vec2_unit_x = {1.f, 0}; static const vec2 vec2_unit_y = {0, 1.f}; typedef struct { double x; double y; } vec2d; /*const vec2d vec2d_unit_x = {1.0,0}; const vec2d vec2d_unit_y = {0,1.0};*/ typedef struct { float x; float y; float z; } vec3; typedef struct { union { float x; float r; float xMin; }; union { float y; float g; float yMin; }; union { float z; float width; float b; float xMax; }; union { float w; float height; float a; float yMax; }; } vec4; typedef struct { uint16_t x; uint16_t y; uint16_t z; uint16_t w; } vec4i16; typedef struct { int16_t x; int16_t y; } vec2i16; typedef struct { vec2 row0; vec2 row1; } mat2; // compute length of float vector 2d vkvg_inline float vec2_length(vec2 v) { return sqrtf(v.x * v.x + v.y * v.y); } // compute normal direction vector from line defined by 2 points in double precision vkvg_inline vec2d vec2d_line_norm(vec2d a, vec2d b) { vec2d d = {b.x - a.x, b.y - a.y}; double md = sqrt(d.x * d.x + d.y * d.y); d.x /= md; d.y /= md; return d; } // compute normal direction vector from line defined by 2 points vkvg_inline vec2 vec2_line_norm(vec2 a, vec2 b) { vec2 d = {b.x - a.x, b.y - a.y}; float md = sqrtf(d.x * d.x + d.y * d.y); d.x /= md; d.y /= md; return d; } // compute sum of two double precision vectors vkvg_inline vec2d vec2d_add(vec2d a, vec2d b) { return (vec2d){a.x + b.x, a.y + b.y}; } // compute subbstraction of two double precision vectors vkvg_inline vec2d vec2d_sub(vec2d a, vec2d b) { return (vec2d){a.x - b.x, a.y - b.y}; } // multiply 2d vector by scalar vkvg_inline vec2d vec2d_mult_s(vec2d a, double m) { return (vec2d){a.x * m, a.y * m}; } vkvg_inline vec2d vec2d_div_s(vec2d a, double m) { return (vec2d){a.x / m, a.y / m}; } // compute length of double vector 2d vkvg_inline double vec2d_length(vec2d v) { return sqrt(v.x * v.x + v.y * v.y); } // normalize double vector vkvg_inline vec2d vec2d_norm(vec2d a) { double m = sqrt(a.x * a.x + a.y * a.y); return (vec2d){a.x / m, a.y / m}; } // compute perpendicular vector vkvg_inline vec2d vec2d_perp(vec2d a) { return (vec2d){a.y, -a.x}; } vkvg_inline bool vec2d_isnan(vec2d v) { return (bool)(isnan(v.x) || isnan(v.y)); } // test equality of two single precision vectors vkvg_inline bool vec2_equ(vec2 a, vec2 b) { return (EQUF(a.x, b.x) & EQUF(a.y, b.y)); } // compute sum of two single precision vectors vkvg_inline vec2 vec2_add(vec2 a, vec2 b) { return (vec2){a.x + b.x, a.y + b.y}; } // compute subbstraction of two single precision vectors vkvg_inline vec2 vec2_sub(vec2 a, vec2 b) { return (vec2){a.x - b.x, a.y - b.y}; } // multiply 2d vector by scalar vkvg_inline vec2 vec2_mult_s(vec2 a, float m) { return (vec2){a.x * m, a.y * m}; } // devide 2d vector by scalar vkvg_inline vec2 vec2_div_s(vec2 a, float m) { return (vec2){a.x / m, a.y / m}; } // normalize float vector vkvg_inline vec2 vec2_norm(vec2 a) { float m = sqrtf(a.x * a.x + a.y * a.y); return (vec2){a.x / m, a.y / m}; } // compute perpendicular vector vkvg_inline vec2 vec2_perp(vec2 a) { return (vec2){a.y, -a.x}; } // compute opposite of single precision vector vkvg_inline void vec2_inv(vec2* v) { v->x = -v->x; v->y = -v->y; } // test if one component of float vector is nan vkvg_inline bool vec2_isnan(vec2 v) { return (bool)(isnan(v.x) || isnan(v.y)); } // test if one component of double vector is nan vkvg_inline float vec2_dot(vec2 a, vec2 b) { return (a.x * b.x) + (a.y * b.y); } vkvg_inline float vec2_det(vec2 a, vec2 b) { return a.x * b.y - a.y * b.x; } vkvg_inline float vec2_slope(vec2 a, vec2 b) { return (b.y - a.y) / (b.x - a.x); } // convert double precision vector to single precision vkvg_inline vec2 vec2d_to_vec2(vec2d vd) { return (vec2){(float)vd.x, (float)vd.y}; } vkvg_inline bool vec4_equ(vec4 a, vec4 b) { return (EQUF(a.x, b.x) & EQUF(a.y, b.y) & EQUF(a.z, b.z) & EQUF(a.w, b.w)); } vkvg_inline vec2 mat2_mult_vec2(mat2 m, vec2 v) { return (vec2){(m.row0.x * v.x) + (m.row0.y * v.y), (m.row1.x * v.x) + (m.row1.y * v.y)}; } vkvg_inline float mat2_det(mat2* m) { return (m->row0.x * m->row1.y) - (m->row0.y * m->row1.y); } #endif