dbf-halloween2015

annotate libs/vmath/vector.h @ 3:c37fe5d8a4ed

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author John Tsiombikas <nuclear@member.fsf.org>
date Sun, 01 Nov 2015 06:04:28 +0200
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nuclear@1 1 /*
nuclear@1 2 libvmath - a vector math library
nuclear@1 3 Copyright (C) 2004-2011 John Tsiombikas <nuclear@member.fsf.org>
nuclear@1 4
nuclear@1 5 This program is free software: you can redistribute it and/or modify
nuclear@1 6 it under the terms of the GNU Lesser General Public License as published
nuclear@1 7 by the Free Software Foundation, either version 3 of the License, or
nuclear@1 8 (at your option) any later version.
nuclear@1 9
nuclear@1 10 This program is distributed in the hope that it will be useful,
nuclear@1 11 but WITHOUT ANY WARRANTY; without even the implied warranty of
nuclear@1 12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
nuclear@1 13 GNU Lesser General Public License for more details.
nuclear@1 14
nuclear@1 15 You should have received a copy of the GNU Lesser General Public License
nuclear@1 16 along with this program. If not, see <http://www.gnu.org/licenses/>.
nuclear@1 17 */
nuclear@1 18
nuclear@1 19 #ifndef VMATH_VECTOR_H_
nuclear@1 20 #define VMATH_VECTOR_H_
nuclear@1 21
nuclear@1 22 #include <stdio.h>
nuclear@1 23 #include "vmath_types.h"
nuclear@1 24
nuclear@1 25 #ifdef __cplusplus
nuclear@1 26 extern "C" {
nuclear@1 27 #endif /* __cplusplus */
nuclear@1 28
nuclear@1 29 /* C 2D vector functions */
nuclear@1 30 static inline vec2_t v2_cons(scalar_t x, scalar_t y);
nuclear@1 31 static inline void v2_print(FILE *fp, vec2_t v);
nuclear@1 32
nuclear@1 33 static inline vec2_t v2_add(vec2_t v1, vec2_t v2);
nuclear@1 34 static inline vec2_t v2_sub(vec2_t v1, vec2_t v2);
nuclear@1 35 static inline vec2_t v2_scale(vec2_t v, scalar_t s);
nuclear@1 36 static inline scalar_t v2_dot(vec2_t v1, vec2_t v2);
nuclear@1 37 static inline scalar_t v2_length(vec2_t v);
nuclear@1 38 static inline scalar_t v2_length_sq(vec2_t v);
nuclear@1 39 static inline vec2_t v2_normalize(vec2_t v);
nuclear@1 40
nuclear@1 41 static inline vec2_t v2_lerp(vec2_t v1, vec2_t v2, scalar_t t);
nuclear@1 42
nuclear@1 43 /* C 3D vector functions */
nuclear@1 44 static inline vec3_t v3_cons(scalar_t x, scalar_t y, scalar_t z);
nuclear@1 45 static inline void v3_print(FILE *fp, vec3_t v);
nuclear@1 46
nuclear@1 47 static inline vec3_t v3_add(vec3_t v1, vec3_t v2);
nuclear@1 48 static inline vec3_t v3_sub(vec3_t v1, vec3_t v2);
nuclear@1 49 static inline vec3_t v3_neg(vec3_t v);
nuclear@1 50 static inline vec3_t v3_mul(vec3_t v1, vec3_t v2);
nuclear@1 51 static inline vec3_t v3_scale(vec3_t v1, scalar_t s);
nuclear@1 52 static inline scalar_t v3_dot(vec3_t v1, vec3_t v2);
nuclear@1 53 static inline vec3_t v3_cross(vec3_t v1, vec3_t v2);
nuclear@1 54 static inline scalar_t v3_length(vec3_t v);
nuclear@1 55 static inline scalar_t v3_length_sq(vec3_t v);
nuclear@1 56 static inline vec3_t v3_normalize(vec3_t v);
nuclear@1 57 static inline vec3_t v3_transform(vec3_t v, mat4_t m);
nuclear@1 58
nuclear@1 59 static inline vec3_t v3_rotate(vec3_t v, scalar_t x, scalar_t y, scalar_t z);
nuclear@1 60 static inline vec3_t v3_rotate_axis(vec3_t v, scalar_t angle, scalar_t x, scalar_t y, scalar_t z);
nuclear@1 61 static inline vec3_t v3_rotate_quat(vec3_t v, quat_t q);
nuclear@1 62
nuclear@1 63 static inline vec3_t v3_reflect(vec3_t v, vec3_t n);
nuclear@1 64
nuclear@1 65 static inline vec3_t v3_lerp(vec3_t v1, vec3_t v2, scalar_t t);
nuclear@1 66
nuclear@1 67 /* C 4D vector functions */
nuclear@1 68 static inline vec4_t v4_cons(scalar_t x, scalar_t y, scalar_t z, scalar_t w);
nuclear@1 69 static inline void v4_print(FILE *fp, vec4_t v);
nuclear@1 70
nuclear@1 71 static inline vec4_t v4_add(vec4_t v1, vec4_t v2);
nuclear@1 72 static inline vec4_t v4_sub(vec4_t v1, vec4_t v2);
nuclear@1 73 static inline vec4_t v4_neg(vec4_t v);
nuclear@1 74 static inline vec4_t v4_mul(vec4_t v1, vec4_t v2);
nuclear@1 75 static inline vec4_t v4_scale(vec4_t v, scalar_t s);
nuclear@1 76 static inline scalar_t v4_dot(vec4_t v1, vec4_t v2);
nuclear@1 77 static inline scalar_t v4_length(vec4_t v);
nuclear@1 78 static inline scalar_t v4_length_sq(vec4_t v);
nuclear@1 79 static inline vec4_t v4_normalize(vec4_t v);
nuclear@1 80 static inline vec4_t v4_transform(vec4_t v, mat4_t m);
nuclear@1 81
nuclear@1 82 #ifdef __cplusplus
nuclear@1 83 } /* extern "C" */
nuclear@1 84
nuclear@1 85 /* when included from C++ source files, also define the vector classes */
nuclear@1 86 #include <iostream>
nuclear@1 87
nuclear@1 88 /** 2D Vector */
nuclear@1 89 class Vector2 {
nuclear@1 90 public:
nuclear@1 91 scalar_t x, y;
nuclear@1 92
nuclear@1 93 Vector2(scalar_t x = 0.0, scalar_t y = 0.0);
nuclear@1 94 Vector2(const vec2_t &vec);
nuclear@1 95 Vector2(const Vector3 &vec);
nuclear@1 96 Vector2(const Vector4 &vec);
nuclear@1 97
nuclear@1 98 inline scalar_t &operator [](int elem);
nuclear@1 99 inline const scalar_t &operator [](int elem) const;
nuclear@1 100
nuclear@1 101 inline scalar_t length() const;
nuclear@1 102 inline scalar_t length_sq() const;
nuclear@1 103 void normalize();
nuclear@1 104 Vector2 normalized() const;
nuclear@1 105
nuclear@1 106 void transform(const Matrix3x3 &mat);
nuclear@1 107 Vector2 transformed(const Matrix3x3 &mat) const;
nuclear@1 108
nuclear@1 109 void rotate(scalar_t angle);
nuclear@1 110 Vector2 rotated(scalar_t angle) const;
nuclear@1 111
nuclear@1 112 Vector2 reflection(const Vector2 &normal) const;
nuclear@1 113 Vector2 refraction(const Vector2 &normal, scalar_t src_ior, scalar_t dst_ior) const;
nuclear@1 114 };
nuclear@1 115
nuclear@1 116 /* unary operations */
nuclear@1 117 inline Vector2 operator -(const Vector2 &vec);
nuclear@1 118
nuclear@1 119 /* binary vector (op) vector operations */
nuclear@1 120 inline scalar_t dot_product(const Vector2 &v1, const Vector2 &v2);
nuclear@1 121
nuclear@1 122 inline Vector2 operator +(const Vector2 &v1, const Vector2 &v2);
nuclear@1 123 inline Vector2 operator -(const Vector2 &v1, const Vector2 &v2);
nuclear@1 124 inline Vector2 operator *(const Vector2 &v1, const Vector2 &v2);
nuclear@1 125 inline Vector2 operator /(const Vector2 &v1, const Vector2 &v2);
nuclear@1 126 inline bool operator ==(const Vector2 &v1, const Vector2 &v2);
nuclear@1 127
nuclear@1 128 inline void operator +=(Vector2 &v1, const Vector2 &v2);
nuclear@1 129 inline void operator -=(Vector2 &v1, const Vector2 &v2);
nuclear@1 130 inline void operator *=(Vector2 &v1, const Vector2 &v2);
nuclear@1 131 inline void operator /=(Vector2 &v1, const Vector2 &v2);
nuclear@1 132
nuclear@1 133 /* binary vector (op) scalar and scalar (op) vector operations */
nuclear@1 134 inline Vector2 operator +(const Vector2 &vec, scalar_t scalar);
nuclear@1 135 inline Vector2 operator +(scalar_t scalar, const Vector2 &vec);
nuclear@1 136 inline Vector2 operator -(const Vector2 &vec, scalar_t scalar);
nuclear@1 137 inline Vector2 operator *(const Vector2 &vec, scalar_t scalar);
nuclear@1 138 inline Vector2 operator *(scalar_t scalar, const Vector2 &vec);
nuclear@1 139 inline Vector2 operator /(const Vector2 &vec, scalar_t scalar);
nuclear@1 140
nuclear@1 141 inline void operator +=(Vector2 &vec, scalar_t scalar);
nuclear@1 142 inline void operator -=(Vector2 &vec, scalar_t scalar);
nuclear@1 143 inline void operator *=(Vector2 &vec, scalar_t scalar);
nuclear@1 144 inline void operator /=(Vector2 &vec, scalar_t scalar);
nuclear@1 145
nuclear@1 146 std::ostream &operator <<(std::ostream &out, const Vector2 &vec);
nuclear@1 147
nuclear@1 148 inline Vector2 lerp(const Vector2 &a, const Vector2 &b, scalar_t t);
nuclear@1 149 inline Vector2 catmull_rom_spline(const Vector2 &v0, const Vector2 &v1,
nuclear@1 150 const Vector2 &v2, const Vector2 &v3, scalar_t t);
nuclear@1 151 inline Vector2 bspline(const Vector2 &v0, const Vector2 &v1,
nuclear@1 152 const Vector2 &v2, const Vector2 &v3, scalar_t t);
nuclear@1 153
nuclear@1 154 /* 3D Vector */
nuclear@1 155 class Vector3 {
nuclear@1 156 public:
nuclear@1 157 scalar_t x, y, z;
nuclear@1 158
nuclear@1 159 Vector3(scalar_t x = 0.0, scalar_t y = 0.0, scalar_t z = 0.0);
nuclear@1 160 Vector3(const vec3_t &vec);
nuclear@1 161 Vector3(const Vector2 &vec);
nuclear@1 162 Vector3(const Vector4 &vec);
nuclear@1 163 Vector3(const SphVector &sph);
nuclear@1 164
nuclear@1 165 Vector3 &operator =(const SphVector &sph);
nuclear@1 166
nuclear@1 167 inline scalar_t &operator [](int elem);
nuclear@1 168 inline const scalar_t &operator [](int elem) const;
nuclear@1 169
nuclear@1 170 inline scalar_t length() const;
nuclear@1 171 inline scalar_t length_sq() const;
nuclear@1 172 void normalize();
nuclear@1 173 Vector3 normalized() const;
nuclear@1 174
nuclear@1 175 void transform(const Matrix3x3 &mat);
nuclear@1 176 Vector3 transformed(const Matrix3x3 &mat) const;
nuclear@1 177 void transform(const Matrix4x4 &mat);
nuclear@1 178 Vector3 transformed(const Matrix4x4 &mat) const;
nuclear@1 179 void transform(const Quaternion &quat);
nuclear@1 180 Vector3 transformed(const Quaternion &quat) const;
nuclear@1 181
nuclear@1 182 void rotate(const Vector3 &euler);
nuclear@1 183 Vector3 rotated(const Vector3 &euler) const;
nuclear@1 184
nuclear@1 185 Vector3 reflection(const Vector3 &normal) const;
nuclear@1 186 Vector3 refraction(const Vector3 &normal, scalar_t src_ior, scalar_t dst_ior) const;
nuclear@1 187 Vector3 refraction(const Vector3 &normal, scalar_t ior) const;
nuclear@1 188 };
nuclear@1 189
nuclear@1 190 /* unary operations */
nuclear@1 191 inline Vector3 operator -(const Vector3 &vec);
nuclear@1 192
nuclear@1 193 /* binary vector (op) vector operations */
nuclear@1 194 inline scalar_t dot_product(const Vector3 &v1, const Vector3 &v2);
nuclear@1 195 inline Vector3 cross_product(const Vector3 &v1, const Vector3 &v2);
nuclear@1 196
nuclear@1 197 inline Vector3 operator +(const Vector3 &v1, const Vector3 &v2);
nuclear@1 198 inline Vector3 operator -(const Vector3 &v1, const Vector3 &v2);
nuclear@1 199 inline Vector3 operator *(const Vector3 &v1, const Vector3 &v2);
nuclear@1 200 inline Vector3 operator /(const Vector3 &v1, const Vector3 &v2);
nuclear@1 201 inline bool operator ==(const Vector3 &v1, const Vector3 &v2);
nuclear@1 202
nuclear@1 203 inline void operator +=(Vector3 &v1, const Vector3 &v2);
nuclear@1 204 inline void operator -=(Vector3 &v1, const Vector3 &v2);
nuclear@1 205 inline void operator *=(Vector3 &v1, const Vector3 &v2);
nuclear@1 206 inline void operator /=(Vector3 &v1, const Vector3 &v2);
nuclear@1 207
nuclear@1 208 /* binary vector (op) scalar and scalar (op) vector operations */
nuclear@1 209 inline Vector3 operator +(const Vector3 &vec, scalar_t scalar);
nuclear@1 210 inline Vector3 operator +(scalar_t scalar, const Vector3 &vec);
nuclear@1 211 inline Vector3 operator -(const Vector3 &vec, scalar_t scalar);
nuclear@1 212 inline Vector3 operator *(const Vector3 &vec, scalar_t scalar);
nuclear@1 213 inline Vector3 operator *(scalar_t scalar, const Vector3 &vec);
nuclear@1 214 inline Vector3 operator /(const Vector3 &vec, scalar_t scalar);
nuclear@1 215
nuclear@1 216 inline void operator +=(Vector3 &vec, scalar_t scalar);
nuclear@1 217 inline void operator -=(Vector3 &vec, scalar_t scalar);
nuclear@1 218 inline void operator *=(Vector3 &vec, scalar_t scalar);
nuclear@1 219 inline void operator /=(Vector3 &vec, scalar_t scalar);
nuclear@1 220
nuclear@1 221 std::ostream &operator <<(std::ostream &out, const Vector3 &vec);
nuclear@1 222
nuclear@1 223 inline Vector3 lerp(const Vector3 &a, const Vector3 &b, scalar_t t);
nuclear@1 224 inline Vector3 catmull_rom_spline(const Vector3 &v0, const Vector3 &v1,
nuclear@1 225 const Vector3 &v2, const Vector3 &v3, scalar_t t);
nuclear@1 226 inline Vector3 bspline(const Vector3 &v0, const Vector3 &v1,
nuclear@1 227 const Vector3 &v2, const Vector3 &v3, scalar_t t);
nuclear@1 228
nuclear@1 229 /* 4D Vector */
nuclear@1 230 class Vector4 {
nuclear@1 231 public:
nuclear@1 232 scalar_t x, y, z, w;
nuclear@1 233
nuclear@1 234 Vector4(scalar_t x = 0.0, scalar_t y = 0.0, scalar_t z = 0.0, scalar_t w = 0.0);
nuclear@1 235 Vector4(const vec4_t &vec);
nuclear@1 236 Vector4(const Vector2 &vec);
nuclear@1 237 Vector4(const Vector3 &vec);
nuclear@1 238
nuclear@1 239 inline scalar_t &operator [](int elem);
nuclear@1 240 inline const scalar_t &operator [](int elem) const;
nuclear@1 241
nuclear@1 242 inline scalar_t length() const;
nuclear@1 243 inline scalar_t length_sq() const;
nuclear@1 244 void normalize();
nuclear@1 245 Vector4 normalized() const;
nuclear@1 246
nuclear@1 247 void transform(const Matrix4x4 &mat);
nuclear@1 248 Vector4 transformed(const Matrix4x4 &mat) const;
nuclear@1 249
nuclear@1 250 Vector4 reflection(const Vector4 &normal) const;
nuclear@1 251 Vector4 refraction(const Vector4 &normal, scalar_t src_ior, scalar_t dst_ior) const;
nuclear@1 252 };
nuclear@1 253
nuclear@1 254
nuclear@1 255 /* unary operations */
nuclear@1 256 inline Vector4 operator -(const Vector4 &vec);
nuclear@1 257
nuclear@1 258 /* binary vector (op) vector operations */
nuclear@1 259 inline scalar_t dot_product(const Vector4 &v1, const Vector4 &v2);
nuclear@1 260 inline Vector4 cross_product(const Vector4 &v1, const Vector4 &v2, const Vector4 &v3);
nuclear@1 261
nuclear@1 262 inline Vector4 operator +(const Vector4 &v1, const Vector4 &v2);
nuclear@1 263 inline Vector4 operator -(const Vector4 &v1, const Vector4 &v2);
nuclear@1 264 inline Vector4 operator *(const Vector4 &v1, const Vector4 &v2);
nuclear@1 265 inline Vector4 operator /(const Vector4 &v1, const Vector4 &v2);
nuclear@1 266 inline bool operator ==(const Vector4 &v1, const Vector4 &v2);
nuclear@1 267
nuclear@1 268 inline void operator +=(Vector4 &v1, const Vector4 &v2);
nuclear@1 269 inline void operator -=(Vector4 &v1, const Vector4 &v2);
nuclear@1 270 inline void operator *=(Vector4 &v1, const Vector4 &v2);
nuclear@1 271 inline void operator /=(Vector4 &v1, const Vector4 &v2);
nuclear@1 272
nuclear@1 273 /* binary vector (op) scalar and scalar (op) vector operations */
nuclear@1 274 inline Vector4 operator +(const Vector4 &vec, scalar_t scalar);
nuclear@1 275 inline Vector4 operator +(scalar_t scalar, const Vector4 &vec);
nuclear@1 276 inline Vector4 operator -(const Vector4 &vec, scalar_t scalar);
nuclear@1 277 inline Vector4 operator *(const Vector4 &vec, scalar_t scalar);
nuclear@1 278 inline Vector4 operator *(scalar_t scalar, const Vector4 &vec);
nuclear@1 279 inline Vector4 operator /(const Vector4 &vec, scalar_t scalar);
nuclear@1 280
nuclear@1 281 inline void operator +=(Vector4 &vec, scalar_t scalar);
nuclear@1 282 inline void operator -=(Vector4 &vec, scalar_t scalar);
nuclear@1 283 inline void operator *=(Vector4 &vec, scalar_t scalar);
nuclear@1 284 inline void operator /=(Vector4 &vec, scalar_t scalar);
nuclear@1 285
nuclear@1 286 std::ostream &operator <<(std::ostream &out, const Vector4 &vec);
nuclear@1 287
nuclear@1 288 inline Vector4 lerp(const Vector4 &v0, const Vector4 &v1, scalar_t t);
nuclear@1 289 inline Vector4 catmull_rom_spline(const Vector4 &v0, const Vector4 &v1,
nuclear@1 290 const Vector4 &v2, const Vector4 &v3, scalar_t t);
nuclear@1 291 inline Vector4 bspline(const Vector4 &v0, const Vector4 &v1,
nuclear@1 292 const Vector4 &v2, const Vector4 &v3, scalar_t t);
nuclear@1 293
nuclear@1 294 #endif /* __cplusplus */
nuclear@1 295
nuclear@1 296 #include "vector.inl"
nuclear@1 297
nuclear@1 298 #endif /* VMATH_VECTOR_H_ */