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authorGravatar Lioncash2018-08-07 21:32:05 -0400
committerGravatar Lioncash2018-08-07 21:32:05 -0400
commit5c323d96e034c49e60dccb966a1ab753239b1ce6 (patch)
tree06dbc15b0909acc8dcc5f6457bcac0c1cd6c9a32 /src/common/vector_math.h
parentvector_math: Convert typedefs to type aliases (diff)
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vector_math: Make functions constexpr where applicable
Diffstat (limited to 'src/common/vector_math.h')
-rw-r--r--src/common/vector_math.h333
1 files changed, 179 insertions, 154 deletions
diff --git a/src/common/vector_math.h b/src/common/vector_math.h
index 108399ae8..7e5af651a 100644
--- a/src/common/vector_math.h
+++ b/src/common/vector_math.h
@@ -43,70 +43,71 @@ template <typename T>
43class Vec4; 43class Vec4;
44 44
45template <typename T> 45template <typename T>
46static inline Vec2<T> MakeVec(const T& x, const T& y);
47template <typename T>
48static inline Vec3<T> MakeVec(const T& x, const T& y, const T& z);
49template <typename T>
50static inline Vec4<T> MakeVec(const T& x, const T& y, const T& z, const T& w);
51
52template <typename T>
53class Vec2 { 46class Vec2 {
54public: 47public:
55 T x{}; 48 T x{};
56 T y{}; 49 T y{};
57 50
58 Vec2() = default; 51 constexpr Vec2() = default;
59 Vec2(const T& _x, const T& _y) : x(_x), y(_y) {} 52 constexpr Vec2(const T& x_, const T& y_) : x(x_), y(y_) {}
60 53
61 template <typename T2> 54 template <typename T2>
62 Vec2<T2> Cast() const { 55 constexpr Vec2<T2> Cast() const {
63 return Vec2<T2>((T2)x, (T2)y); 56 return Vec2<T2>(static_cast<T2>(x), static_cast<T2>(y));
64 } 57 }
65 58
66 static Vec2 AssignToAll(const T& f) { 59 static constexpr Vec2 AssignToAll(const T& f) {
67 return Vec2<T>(f, f); 60 return Vec2{f, f};
68 } 61 }
69 62
70 Vec2<decltype(T{} + T{})> operator+(const Vec2& other) const { 63 constexpr Vec2<decltype(T{} + T{})> operator+(const Vec2& other) const {
71 return MakeVec(x + other.x, y + other.y); 64 return {x + other.x, y + other.y};
72 } 65 }
73 void operator+=(const Vec2& other) { 66 constexpr Vec2& operator+=(const Vec2& other) {
74 x += other.x; 67 x += other.x;
75 y += other.y; 68 y += other.y;
69 return *this;
76 } 70 }
77 Vec2<decltype(T{} - T{})> operator-(const Vec2& other) const { 71 constexpr Vec2<decltype(T{} - T{})> operator-(const Vec2& other) const {
78 return MakeVec(x - other.x, y - other.y); 72 return {x - other.x, y - other.y};
79 } 73 }
80 void operator-=(const Vec2& other) { 74 constexpr Vec2& operator-=(const Vec2& other) {
81 x -= other.x; 75 x -= other.x;
82 y -= other.y; 76 y -= other.y;
77 return *this;
83 } 78 }
84 79
85 template <typename U = T> 80 template <typename U = T>
86 Vec2<std::enable_if_t<std::is_signed<U>::value, U>> operator-() const { 81 constexpr Vec2<std::enable_if_t<std::is_signed<U>::value, U>> operator-() const {
87 return MakeVec(-x, -y); 82 return {-x, -y};
88 } 83 }
89 Vec2<decltype(T{} * T{})> operator*(const Vec2& other) const { 84 constexpr Vec2<decltype(T{} * T{})> operator*(const Vec2& other) const {
90 return MakeVec(x * other.x, y * other.y); 85 return {x * other.x, y * other.y};
91 } 86 }
87
92 template <typename V> 88 template <typename V>
93 Vec2<decltype(T{} * V{})> operator*(const V& f) const { 89 constexpr Vec2<decltype(T{} * V{})> operator*(const V& f) const {
94 return MakeVec(x * f, y * f); 90 return {x * f, y * f};
95 } 91 }
92
96 template <typename V> 93 template <typename V>
97 void operator*=(const V& f) { 94 constexpr Vec2& operator*=(const V& f) {
98 *this = *this * f; 95 *this = *this * f;
96 return *this;
99 } 97 }
98
100 template <typename V> 99 template <typename V>
101 Vec2<decltype(T{} / V{})> operator/(const V& f) const { 100 constexpr Vec2<decltype(T{} / V{})> operator/(const V& f) const {
102 return MakeVec(x / f, y / f); 101 return {x / f, y / f};
103 } 102 }
103
104 template <typename V> 104 template <typename V>
105 void operator/=(const V& f) { 105 constexpr Vec2& operator/=(const V& f) {
106 *this = *this / f; 106 *this = *this / f;
107 return *this;
107 } 108 }
108 109
109 T Length2() const { 110 constexpr T Length2() const {
110 return x * x + y * y; 111 return x * x + y * y;
111 } 112 }
112 113
@@ -118,60 +119,59 @@ public:
118 Vec2 Normalized() const; 119 Vec2 Normalized() const;
119 float Normalize(); // returns the previous length, which is often useful 120 float Normalize(); // returns the previous length, which is often useful
120 121
121 T& operator[](int i) // allow vector[1] = 3 (vector.y=3) 122 constexpr T& operator[](std::size_t i) {
122 {
123 return *((&x) + i); 123 return *((&x) + i);
124 } 124 }
125 T operator[](const int i) const { 125 constexpr const T& operator[](std::size_t i) const {
126 return *((&x) + i); 126 return *((&x) + i);
127 } 127 }
128 128
129 void SetZero() { 129 constexpr void SetZero() {
130 x = 0; 130 x = 0;
131 y = 0; 131 y = 0;
132 } 132 }
133 133
134 // Common aliases: UV (texel coordinates), ST (texture coordinates) 134 // Common aliases: UV (texel coordinates), ST (texture coordinates)
135 T& u() { 135 constexpr T& u() {
136 return x; 136 return x;
137 } 137 }
138 T& v() { 138 constexpr T& v() {
139 return y; 139 return y;
140 } 140 }
141 T& s() { 141 constexpr T& s() {
142 return x; 142 return x;
143 } 143 }
144 T& t() { 144 constexpr T& t() {
145 return y; 145 return y;
146 } 146 }
147 147
148 const T& u() const { 148 constexpr const T& u() const {
149 return x; 149 return x;
150 } 150 }
151 const T& v() const { 151 constexpr const T& v() const {
152 return y; 152 return y;
153 } 153 }
154 const T& s() const { 154 constexpr const T& s() const {
155 return x; 155 return x;
156 } 156 }
157 const T& t() const { 157 constexpr const T& t() const {
158 return y; 158 return y;
159 } 159 }
160 160
161 // swizzlers - create a subvector of specific components 161 // swizzlers - create a subvector of specific components
162 const Vec2 yx() const { 162 constexpr Vec2 yx() const {
163 return Vec2(y, x); 163 return Vec2(y, x);
164 } 164 }
165 const Vec2 vu() const { 165 constexpr Vec2 vu() const {
166 return Vec2(y, x); 166 return Vec2(y, x);
167 } 167 }
168 const Vec2 ts() const { 168 constexpr Vec2 ts() const {
169 return Vec2(y, x); 169 return Vec2(y, x);
170 } 170 }
171}; 171};
172 172
173template <typename T, typename V> 173template <typename T, typename V>
174Vec2<T> operator*(const V& f, const Vec2<T>& vec) { 174constexpr Vec2<T> operator*(const V& f, const Vec2<T>& vec) {
175 return Vec2<T>(f * vec.x, f * vec.y); 175 return Vec2<T>(f * vec.x, f * vec.y);
176} 176}
177 177
@@ -196,64 +196,75 @@ public:
196 T y{}; 196 T y{};
197 T z{}; 197 T z{};
198 198
199 Vec3() = default; 199 constexpr Vec3() = default;
200 Vec3(const T& _x, const T& _y, const T& _z) : x(_x), y(_y), z(_z) {} 200 constexpr Vec3(const T& x_, const T& y_, const T& z_) : x(x_), y(y_), z(z_) {}
201 201
202 template <typename T2> 202 template <typename T2>
203 Vec3<T2> Cast() const { 203 constexpr Vec3<T2> Cast() const {
204 return MakeVec<T2>((T2)x, (T2)y, (T2)z); 204 return Vec3<T2>(static_cast<T2>(x), static_cast<T2>(y), static_cast<T2>(z));
205 } 205 }
206 206
207 // Only implemented for T=int and T=float 207 // Only implemented for T=int and T=float
208 static Vec3 FromRGB(unsigned int rgb); 208 static Vec3 FromRGB(unsigned int rgb);
209 unsigned int ToRGB() const; // alpha bits set to zero 209 unsigned int ToRGB() const; // alpha bits set to zero
210 210
211 static Vec3 AssignToAll(const T& f) { 211 static constexpr Vec3 AssignToAll(const T& f) {
212 return MakeVec(f, f, f); 212 return Vec3(f, f, f);
213 } 213 }
214 214
215 Vec3<decltype(T{} + T{})> operator+(const Vec3& other) const { 215 constexpr Vec3<decltype(T{} + T{})> operator+(const Vec3& other) const {
216 return MakeVec(x + other.x, y + other.y, z + other.z); 216 return {x + other.x, y + other.y, z + other.z};
217 } 217 }
218 void operator+=(const Vec3& other) { 218
219 constexpr Vec3& operator+=(const Vec3& other) {
219 x += other.x; 220 x += other.x;
220 y += other.y; 221 y += other.y;
221 z += other.z; 222 z += other.z;
223 return *this;
222 } 224 }
223 Vec3<decltype(T{} - T{})> operator-(const Vec3& other) const { 225
224 return MakeVec(x - other.x, y - other.y, z - other.z); 226 constexpr Vec3<decltype(T{} - T{})> operator-(const Vec3& other) const {
227 return {x - other.x, y - other.y, z - other.z};
225 } 228 }
226 void operator-=(const Vec3& other) { 229
230 constexpr Vec3& operator-=(const Vec3& other) {
227 x -= other.x; 231 x -= other.x;
228 y -= other.y; 232 y -= other.y;
229 z -= other.z; 233 z -= other.z;
234 return *this;
230 } 235 }
231 236
232 template <typename U = T> 237 template <typename U = T>
233 Vec3<std::enable_if_t<std::is_signed<U>::value, U>> operator-() const { 238 constexpr Vec3<std::enable_if_t<std::is_signed<U>::value, U>> operator-() const {
234 return MakeVec(-x, -y, -z); 239 return {-x, -y, -z};
235 } 240 }
236 Vec3<decltype(T{} * T{})> operator*(const Vec3& other) const { 241
237 return MakeVec(x * other.x, y * other.y, z * other.z); 242 constexpr Vec3<decltype(T{} * T{})> operator*(const Vec3& other) const {
243 return {x * other.x, y * other.y, z * other.z};
238 } 244 }
245
239 template <typename V> 246 template <typename V>
240 Vec3<decltype(T{} * V{})> operator*(const V& f) const { 247 constexpr Vec3<decltype(T{} * V{})> operator*(const V& f) const {
241 return MakeVec(x * f, y * f, z * f); 248 return {x * f, y * f, z * f};
242 } 249 }
250
243 template <typename V> 251 template <typename V>
244 void operator*=(const V& f) { 252 constexpr Vec3& operator*=(const V& f) {
245 *this = *this * f; 253 *this = *this * f;
254 return *this;
246 } 255 }
247 template <typename V> 256 template <typename V>
248 Vec3<decltype(T{} / V{})> operator/(const V& f) const { 257 constexpr Vec3<decltype(T{} / V{})> operator/(const V& f) const {
249 return MakeVec(x / f, y / f, z / f); 258 return {x / f, y / f, z / f};
250 } 259 }
260
251 template <typename V> 261 template <typename V>
252 void operator/=(const V& f) { 262 constexpr Vec3& operator/=(const V& f) {
253 *this = *this / f; 263 *this = *this / f;
264 return *this;
254 } 265 }
255 266
256 T Length2() const { 267 constexpr T Length2() const {
257 return x * x + y * y + z * z; 268 return x * x + y * y + z * z;
258 } 269 }
259 270
@@ -265,78 +276,78 @@ public:
265 Vec3 Normalized() const; 276 Vec3 Normalized() const;
266 float Normalize(); // returns the previous length, which is often useful 277 float Normalize(); // returns the previous length, which is often useful
267 278
268 T& operator[](int i) // allow vector[2] = 3 (vector.z=3) 279 constexpr T& operator[](std::size_t i) {
269 {
270 return *((&x) + i); 280 return *((&x) + i);
271 } 281 }
272 T operator[](const int i) const { 282
283 constexpr const T& operator[](std::size_t i) const {
273 return *((&x) + i); 284 return *((&x) + i);
274 } 285 }
275 286
276 void SetZero() { 287 constexpr void SetZero() {
277 x = 0; 288 x = 0;
278 y = 0; 289 y = 0;
279 z = 0; 290 z = 0;
280 } 291 }
281 292
282 // Common aliases: UVW (texel coordinates), RGB (colors), STQ (texture coordinates) 293 // Common aliases: UVW (texel coordinates), RGB (colors), STQ (texture coordinates)
283 T& u() { 294 constexpr T& u() {
284 return x; 295 return x;
285 } 296 }
286 T& v() { 297 constexpr T& v() {
287 return y; 298 return y;
288 } 299 }
289 T& w() { 300 constexpr T& w() {
290 return z; 301 return z;
291 } 302 }
292 303
293 T& r() { 304 constexpr T& r() {
294 return x; 305 return x;
295 } 306 }
296 T& g() { 307 constexpr T& g() {
297 return y; 308 return y;
298 } 309 }
299 T& b() { 310 constexpr T& b() {
300 return z; 311 return z;
301 } 312 }
302 313
303 T& s() { 314 constexpr T& s() {
304 return x; 315 return x;
305 } 316 }
306 T& t() { 317 constexpr T& t() {
307 return y; 318 return y;
308 } 319 }
309 T& q() { 320 constexpr T& q() {
310 return z; 321 return z;
311 } 322 }
312 323
313 const T& u() const { 324 constexpr const T& u() const {
314 return x; 325 return x;
315 } 326 }
316 const T& v() const { 327 constexpr const T& v() const {
317 return y; 328 return y;
318 } 329 }
319 const T& w() const { 330 constexpr const T& w() const {
320 return z; 331 return z;
321 } 332 }
322 333
323 const T& r() const { 334 constexpr const T& r() const {
324 return x; 335 return x;
325 } 336 }
326 const T& g() const { 337 constexpr const T& g() const {
327 return y; 338 return y;
328 } 339 }
329 const T& b() const { 340 constexpr const T& b() const {
330 return z; 341 return z;
331 } 342 }
332 343
333 const T& s() const { 344 constexpr const T& s() const {
334 return x; 345 return x;
335 } 346 }
336 const T& t() const { 347 constexpr const T& t() const {
337 return y; 348 return y;
338 } 349 }
339 const T& q() const { 350 constexpr const T& q() const {
340 return z; 351 return z;
341 } 352 }
342 353
@@ -345,7 +356,7 @@ public:
345// _DEFINE_SWIZZLER2 defines a single such function, DEFINE_SWIZZLER2 defines all of them for all 356// _DEFINE_SWIZZLER2 defines a single such function, DEFINE_SWIZZLER2 defines all of them for all
346// component names (x<->r) and permutations (xy<->yx) 357// component names (x<->r) and permutations (xy<->yx)
347#define _DEFINE_SWIZZLER2(a, b, name) \ 358#define _DEFINE_SWIZZLER2(a, b, name) \
348 const Vec2<T> name() const { \ 359 constexpr Vec2<T> name() const { \
349 return Vec2<T>(a, b); \ 360 return Vec2<T>(a, b); \
350 } 361 }
351#define DEFINE_SWIZZLER2(a, b, a2, b2, a3, b3, a4, b4) \ 362#define DEFINE_SWIZZLER2(a, b, a2, b2, a3, b3, a4, b4) \
@@ -366,7 +377,7 @@ public:
366}; 377};
367 378
368template <typename T, typename V> 379template <typename T, typename V>
369Vec3<T> operator*(const V& f, const Vec3<T>& vec) { 380constexpr Vec3<T> operator*(const V& f, const Vec3<T>& vec) {
370 return Vec3<T>(f * vec.x, f * vec.y, f * vec.z); 381 return Vec3<T>(f * vec.x, f * vec.y, f * vec.z);
371} 382}
372 383
@@ -397,66 +408,80 @@ public:
397 T z{}; 408 T z{};
398 T w{}; 409 T w{};
399 410
400 Vec4() = default; 411 constexpr Vec4() = default;
401 Vec4(const T& _x, const T& _y, const T& _z, const T& _w) : x(_x), y(_y), z(_z), w(_w) {} 412 constexpr Vec4(const T& x_, const T& y_, const T& z_, const T& w_)
413 : x(x_), y(y_), z(z_), w(w_) {}
402 414
403 template <typename T2> 415 template <typename T2>
404 Vec4<T2> Cast() const { 416 constexpr Vec4<T2> Cast() const {
405 return Vec4<T2>((T2)x, (T2)y, (T2)z, (T2)w); 417 return Vec4<T2>(static_cast<T2>(x), static_cast<T2>(y), static_cast<T2>(z),
418 static_cast<T2>(w));
406 } 419 }
407 420
408 // Only implemented for T=int and T=float 421 // Only implemented for T=int and T=float
409 static Vec4 FromRGBA(unsigned int rgba); 422 static Vec4 FromRGBA(unsigned int rgba);
410 unsigned int ToRGBA() const; 423 unsigned int ToRGBA() const;
411 424
412 static Vec4 AssignToAll(const T& f) { 425 static constexpr Vec4 AssignToAll(const T& f) {
413 return Vec4<T>(f, f, f, f); 426 return Vec4(f, f, f, f);
414 } 427 }
415 428
416 Vec4<decltype(T{} + T{})> operator+(const Vec4& other) const { 429 constexpr Vec4<decltype(T{} + T{})> operator+(const Vec4& other) const {
417 return MakeVec(x + other.x, y + other.y, z + other.z, w + other.w); 430 return {x + other.x, y + other.y, z + other.z, w + other.w};
418 } 431 }
419 void operator+=(const Vec4& other) { 432
433 constexpr Vec4& operator+=(const Vec4& other) {
420 x += other.x; 434 x += other.x;
421 y += other.y; 435 y += other.y;
422 z += other.z; 436 z += other.z;
423 w += other.w; 437 w += other.w;
438 return *this;
424 } 439 }
425 Vec4<decltype(T{} - T{})> operator-(const Vec4& other) const { 440
426 return MakeVec(x - other.x, y - other.y, z - other.z, w - other.w); 441 constexpr Vec4<decltype(T{} - T{})> operator-(const Vec4& other) const {
442 return {x - other.x, y - other.y, z - other.z, w - other.w};
427 } 443 }
428 void operator-=(const Vec4& other) { 444
445 constexpr Vec4& operator-=(const Vec4& other) {
429 x -= other.x; 446 x -= other.x;
430 y -= other.y; 447 y -= other.y;
431 z -= other.z; 448 z -= other.z;
432 w -= other.w; 449 w -= other.w;
450 return *this;
433 } 451 }
434 452
435 template <typename U = T> 453 template <typename U = T>
436 Vec4<std::enable_if_t<std::is_signed<U>::value, U>> operator-() const { 454 constexpr Vec4<std::enable_if_t<std::is_signed<U>::value, U>> operator-() const {
437 return MakeVec(-x, -y, -z, -w); 455 return {-x, -y, -z, -w};
438 } 456 }
439 Vec4<decltype(T{} * T{})> operator*(const Vec4& other) const { 457
440 return MakeVec(x * other.x, y * other.y, z * other.z, w * other.w); 458 constexpr Vec4<decltype(T{} * T{})> operator*(const Vec4& other) const {
459 return {x * other.x, y * other.y, z * other.z, w * other.w};
441 } 460 }
461
442 template <typename V> 462 template <typename V>
443 Vec4<decltype(T{} * V{})> operator*(const V& f) const { 463 constexpr Vec4<decltype(T{} * V{})> operator*(const V& f) const {
444 return MakeVec(x * f, y * f, z * f, w * f); 464 return {x * f, y * f, z * f, w * f};
445 } 465 }
466
446 template <typename V> 467 template <typename V>
447 void operator*=(const V& f) { 468 constexpr Vec4& operator*=(const V& f) {
448 *this = *this * f; 469 *this = *this * f;
470 return *this;
449 } 471 }
472
450 template <typename V> 473 template <typename V>
451 Vec4<decltype(T{} / V{})> operator/(const V& f) const { 474 constexpr Vec4<decltype(T{} / V{})> operator/(const V& f) const {
452 return MakeVec(x / f, y / f, z / f, w / f); 475 return {x / f, y / f, z / f, w / f};
453 } 476 }
477
454 template <typename V> 478 template <typename V>
455 void operator/=(const V& f) { 479 constexpr Vec4& operator/=(const V& f) {
456 *this = *this / f; 480 *this = *this / f;
481 return *this;
457 } 482 }
458 483
459 T Length2() const { 484 constexpr T Length2() const {
460 return x * x + y * y + z * z + w * w; 485 return x * x + y * y + z * z + w * w;
461 } 486 }
462 487
@@ -468,15 +493,15 @@ public:
468 Vec4 Normalized() const; 493 Vec4 Normalized() const;
469 float Normalize(); // returns the previous length, which is often useful 494 float Normalize(); // returns the previous length, which is often useful
470 495
471 T& operator[](int i) // allow vector[2] = 3 (vector.z=3) 496 constexpr T& operator[](std::size_t i) {
472 {
473 return *((&x) + i); 497 return *((&x) + i);
474 } 498 }
475 T operator[](const int i) const { 499
500 constexpr const T& operator[](std::size_t i) const {
476 return *((&x) + i); 501 return *((&x) + i);
477 } 502 }
478 503
479 void SetZero() { 504 constexpr void SetZero() {
480 x = 0; 505 x = 0;
481 y = 0; 506 y = 0;
482 z = 0; 507 z = 0;
@@ -484,29 +509,29 @@ public:
484 } 509 }
485 510
486 // Common alias: RGBA (colors) 511 // Common alias: RGBA (colors)
487 T& r() { 512 constexpr T& r() {
488 return x; 513 return x;
489 } 514 }
490 T& g() { 515 constexpr T& g() {
491 return y; 516 return y;
492 } 517 }
493 T& b() { 518 constexpr T& b() {
494 return z; 519 return z;
495 } 520 }
496 T& a() { 521 constexpr T& a() {
497 return w; 522 return w;
498 } 523 }
499 524
500 const T& r() const { 525 constexpr const T& r() const {
501 return x; 526 return x;
502 } 527 }
503 const T& g() const { 528 constexpr const T& g() const {
504 return y; 529 return y;
505 } 530 }
506 const T& b() const { 531 constexpr const T& b() const {
507 return z; 532 return z;
508 } 533 }
509 const T& a() const { 534 constexpr const T& a() const {
510 return w; 535 return w;
511 } 536 }
512 537
@@ -518,7 +543,7 @@ public:
518// DEFINE_SWIZZLER2_COMP2 defines two component functions for all component names (x<->r) and 543// DEFINE_SWIZZLER2_COMP2 defines two component functions for all component names (x<->r) and
519// permutations (xy<->yx) 544// permutations (xy<->yx)
520#define _DEFINE_SWIZZLER2(a, b, name) \ 545#define _DEFINE_SWIZZLER2(a, b, name) \
521 const Vec2<T> name() const { \ 546 constexpr Vec2<T> name() const { \
522 return Vec2<T>(a, b); \ 547 return Vec2<T>(a, b); \
523 } 548 }
524#define DEFINE_SWIZZLER2_COMP1(a, a2) \ 549#define DEFINE_SWIZZLER2_COMP1(a, a2) \
@@ -545,7 +570,7 @@ public:
545#undef _DEFINE_SWIZZLER2 570#undef _DEFINE_SWIZZLER2
546 571
547#define _DEFINE_SWIZZLER3(a, b, c, name) \ 572#define _DEFINE_SWIZZLER3(a, b, c, name) \
548 const Vec3<T> name() const { \ 573 constexpr Vec3<T> name() const { \
549 return Vec3<T>(a, b, c); \ 574 return Vec3<T>(a, b, c); \
550 } 575 }
551#define DEFINE_SWIZZLER3_COMP1(a, a2) \ 576#define DEFINE_SWIZZLER3_COMP1(a, a2) \
@@ -579,51 +604,51 @@ public:
579}; 604};
580 605
581template <typename T, typename V> 606template <typename T, typename V>
582Vec4<decltype(V{} * T{})> operator*(const V& f, const Vec4<T>& vec) { 607constexpr Vec4<decltype(V{} * T{})> operator*(const V& f, const Vec4<T>& vec) {
583 return MakeVec(f * vec.x, f * vec.y, f * vec.z, f * vec.w); 608 return {f * vec.x, f * vec.y, f * vec.z, f * vec.w};
584} 609}
585 610
586using Vec4f = Vec4<float>; 611using Vec4f = Vec4<float>;
587 612
588template <typename T> 613template <typename T>
589static inline decltype(T{} * T{} + T{} * T{}) Dot(const Vec2<T>& a, const Vec2<T>& b) { 614constexpr decltype(T{} * T{} + T{} * T{}) Dot(const Vec2<T>& a, const Vec2<T>& b) {
590 return a.x * b.x + a.y * b.y; 615 return a.x * b.x + a.y * b.y;
591} 616}
592 617
593template <typename T> 618template <typename T>
594static inline decltype(T{} * T{} + T{} * T{}) Dot(const Vec3<T>& a, const Vec3<T>& b) { 619constexpr decltype(T{} * T{} + T{} * T{}) Dot(const Vec3<T>& a, const Vec3<T>& b) {
595 return a.x * b.x + a.y * b.y + a.z * b.z; 620 return a.x * b.x + a.y * b.y + a.z * b.z;
596} 621}
597 622
598template <typename T> 623template <typename T>
599static inline decltype(T{} * T{} + T{} * T{}) Dot(const Vec4<T>& a, const Vec4<T>& b) { 624constexpr decltype(T{} * T{} + T{} * T{}) Dot(const Vec4<T>& a, const Vec4<T>& b) {
600 return a.x * b.x + a.y * b.y + a.z * b.z + a.w * b.w; 625 return a.x * b.x + a.y * b.y + a.z * b.z + a.w * b.w;
601} 626}
602 627
603template <typename T> 628template <typename T>
604static inline Vec3<decltype(T{} * T{} - T{} * T{})> Cross(const Vec3<T>& a, const Vec3<T>& b) { 629constexpr Vec3<decltype(T{} * T{} - T{} * T{})> Cross(const Vec3<T>& a, const Vec3<T>& b) {
605 return MakeVec(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x); 630 return {a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x};
606} 631}
607 632
608// linear interpolation via float: 0.0=begin, 1.0=end 633// linear interpolation via float: 0.0=begin, 1.0=end
609template <typename X> 634template <typename X>
610static inline decltype(X{} * float{} + X{} * float{}) Lerp(const X& begin, const X& end, 635constexpr decltype(X{} * float{} + X{} * float{}) Lerp(const X& begin, const X& end,
611 const float t) { 636 const float t) {
612 return begin * (1.f - t) + end * t; 637 return begin * (1.f - t) + end * t;
613} 638}
614 639
615// linear interpolation via int: 0=begin, base=end 640// linear interpolation via int: 0=begin, base=end
616template <typename X, int base> 641template <typename X, int base>
617static inline decltype((X{} * int{} + X{} * int{}) / base) LerpInt(const X& begin, const X& end, 642constexpr decltype((X{} * int{} + X{} * int{}) / base) LerpInt(const X& begin, const X& end,
618 const int t) { 643 const int t) {
619 return (begin * (base - t) + end * t) / base; 644 return (begin * (base - t) + end * t) / base;
620} 645}
621 646
622// bilinear interpolation. s is for interpolating x00-x01 and x10-x11, and t is for the second 647// bilinear interpolation. s is for interpolating x00-x01 and x10-x11, and t is for the second
623// interpolation. 648// interpolation.
624template <typename X> 649template <typename X>
625inline auto BilinearInterp(const X& x00, const X& x01, const X& x10, const X& x11, const float s, 650constexpr auto BilinearInterp(const X& x00, const X& x01, const X& x10, const X& x11, const float s,
626 const float t) { 651 const float t) {
627 auto y0 = Lerp(x00, x01, s); 652 auto y0 = Lerp(x00, x01, s);
628 auto y1 = Lerp(x10, x11, s); 653 auto y1 = Lerp(x10, x11, s);
629 return Lerp(y0, y1, t); 654 return Lerp(y0, y1, t);
@@ -631,42 +656,42 @@ inline auto BilinearInterp(const X& x00, const X& x01, const X& x10, const X& x1
631 656
632// Utility vector factories 657// Utility vector factories
633template <typename T> 658template <typename T>
634static inline Vec2<T> MakeVec(const T& x, const T& y) { 659constexpr Vec2<T> MakeVec(const T& x, const T& y) {
635 return Vec2<T>{x, y}; 660 return Vec2<T>{x, y};
636} 661}
637 662
638template <typename T> 663template <typename T>
639static inline Vec3<T> MakeVec(const T& x, const T& y, const T& z) { 664constexpr Vec3<T> MakeVec(const T& x, const T& y, const T& z) {
640 return Vec3<T>{x, y, z}; 665 return Vec3<T>{x, y, z};
641} 666}
642 667
643template <typename T> 668template <typename T>
644static inline Vec4<T> MakeVec(const T& x, const T& y, const Vec2<T>& zw) { 669constexpr Vec4<T> MakeVec(const T& x, const T& y, const Vec2<T>& zw) {
645 return MakeVec(x, y, zw[0], zw[1]); 670 return MakeVec(x, y, zw[0], zw[1]);
646} 671}
647 672
648template <typename T> 673template <typename T>
649static inline Vec3<T> MakeVec(const Vec2<T>& xy, const T& z) { 674constexpr Vec3<T> MakeVec(const Vec2<T>& xy, const T& z) {
650 return MakeVec(xy[0], xy[1], z); 675 return MakeVec(xy[0], xy[1], z);
651} 676}
652 677
653template <typename T> 678template <typename T>
654static inline Vec3<T> MakeVec(const T& x, const Vec2<T>& yz) { 679constexpr Vec3<T> MakeVec(const T& x, const Vec2<T>& yz) {
655 return MakeVec(x, yz[0], yz[1]); 680 return MakeVec(x, yz[0], yz[1]);
656} 681}
657 682
658template <typename T> 683template <typename T>
659static inline Vec4<T> MakeVec(const T& x, const T& y, const T& z, const T& w) { 684constexpr Vec4<T> MakeVec(const T& x, const T& y, const T& z, const T& w) {
660 return Vec4<T>{x, y, z, w}; 685 return Vec4<T>{x, y, z, w};
661} 686}
662 687
663template <typename T> 688template <typename T>
664static inline Vec4<T> MakeVec(const Vec2<T>& xy, const T& z, const T& w) { 689constexpr Vec4<T> MakeVec(const Vec2<T>& xy, const T& z, const T& w) {
665 return MakeVec(xy[0], xy[1], z, w); 690 return MakeVec(xy[0], xy[1], z, w);
666} 691}
667 692
668template <typename T> 693template <typename T>
669static inline Vec4<T> MakeVec(const T& x, const Vec2<T>& yz, const T& w) { 694constexpr Vec4<T> MakeVec(const T& x, const Vec2<T>& yz, const T& w) {
670 return MakeVec(x, yz[0], yz[1], w); 695 return MakeVec(x, yz[0], yz[1], w);
671} 696}
672 697
@@ -674,17 +699,17 @@ static inline Vec4<T> MakeVec(const T& x, const Vec2<T>& yz, const T& w) {
674// Even if someone wanted to use an odd object like Vec2<Vec2<T>>, the compiler would error 699// Even if someone wanted to use an odd object like Vec2<Vec2<T>>, the compiler would error
675// out soon enough due to misuse of the returned structure. 700// out soon enough due to misuse of the returned structure.
676template <typename T> 701template <typename T>
677static inline Vec4<T> MakeVec(const Vec2<T>& xy, const Vec2<T>& zw) { 702constexpr Vec4<T> MakeVec(const Vec2<T>& xy, const Vec2<T>& zw) {
678 return MakeVec(xy[0], xy[1], zw[0], zw[1]); 703 return MakeVec(xy[0], xy[1], zw[0], zw[1]);
679} 704}
680 705
681template <typename T> 706template <typename T>
682static inline Vec4<T> MakeVec(const Vec3<T>& xyz, const T& w) { 707constexpr Vec4<T> MakeVec(const Vec3<T>& xyz, const T& w) {
683 return MakeVec(xyz[0], xyz[1], xyz[2], w); 708 return MakeVec(xyz[0], xyz[1], xyz[2], w);
684} 709}
685 710
686template <typename T> 711template <typename T>
687static inline Vec4<T> MakeVec(const T& x, const Vec3<T>& yzw) { 712constexpr Vec4<T> MakeVec(const T& x, const Vec3<T>& yzw) {
688 return MakeVec(x, yzw[0], yzw[1], yzw[2]); 713 return MakeVec(x, yzw[0], yzw[1], yzw[2]);
689} 714}
690 715