Math.h 8.49 KB
Newer Older
's avatar
committed
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
#ifndef __GLARE_MATH_H 
#define __GLARE_MATH_H 

#include <iostream>
#include <glm/ext.hpp>
#include <glm/gtx/matrix_decompose.hpp>

template<typename Enum>
inline typename std::enable_if<std::is_enum<Enum>::value, Enum>::type operator | (Enum lhs, Enum rhs)
{
	return Enum(static_cast<std::underlying_type_t<Enum>>(lhs) | static_cast<std::underlying_type_t<Enum>>(rhs));
}

template<typename Enum>
inline typename std::enable_if<std::is_enum<Enum>::value, Enum>::type& operator |= (Enum &lhs, Enum rhs)
{
	lhs = Enum(static_cast<std::underlying_type_t<Enum>>(lhs) | static_cast<std::underlying_type_t<Enum>>(rhs));
	return lhs;
}

template<typename Enum>
inline typename std::enable_if<std::is_enum<Enum>::value, Enum>::type operator & (Enum lhs, Enum rhs)
{
	return Enum(static_cast<std::underlying_type_t<Enum>>(lhs) | static_cast<std::underlying_type_t<Enum>>(rhs));
}

template<typename Enum>
inline typename std::enable_if<std::is_enum<Enum>::value, Enum>::type& operator &= (Enum &lhs, Enum rhs)
{
	lhs = Enum(static_cast<std::underlying_type_t<Enum>>(lhs) & static_cast<std::underlying_type_t<Enum>>(rhs));
	return lhs;
}

template<typename Enum>
inline typename std::enable_if<std::is_enum<Enum>::value, Enum>::type operator ~(Enum lhs)
{
	return Enum(~static_cast<std::underlying_type_t<Enum>>(lhs));
}

's avatar
committed
40
41
42
43
44
45
46
template<class T>
auto operator<<(std::ostream& os, const T& t) -> decltype(t.print(os), os)
{
	t.print(os);
	return os;
}

's avatar
committed
47
48
49
50
51
52
53
namespace glare
{
	namespace math
	{
		class Transform
		{
		public:
54
55
56
			Transform();
			Transform(const glm::mat4 &matrix);
			~Transform();
's avatar
committed
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207

			glm::vec3 position = glm::vec3(0);
			glm::quat rotation = glm::quat(1,0,0,0);
			glm::vec3 scale = glm::vec3(1);

			void rotate(glm::vec3 euler);

			glm::vec3 forward() const;

			glm::vec3 right() const;

			glm::vec3 up() const;

			glm::mat4 matrix() const;

			void fromMatrix(const glm::mat4& matrix);

			bool operator==(const math::Transform &other) const;
			bool operator!=(const math::Transform &other) const;
		};

		class SmoothFloat
		{
		public:
			explicit SmoothFloat(float speed = 1, float max = 4);

			float target(float value, double delta);

		private:
			float m_current;
			float m_speed;
			float m_max;
		};
		
		class Rect
		{
		public:
			Rect();

			Rect(float left, float top, float right, float bottom);

			Rect(glm::vec2 position, glm::vec2 size);

			glm::vec2 position() const;

			glm::vec2 size() const;

			float surface() const;

			void set(glm::vec2 position, glm::vec2 size);

			void set(float left, float top, float right, float bottom);

			bool empty() const;

			void include(const Rect& other);

			bool contains(const Rect& other) const;

			bool contains(const glm::vec2& other) const;

			void inset(const Rect& paddings);

			friend std::ostream& operator<< (std::ostream& stream, const Rect& matrix);

			float left = 0;
			float right = 0;
			float top = 0;
			float bottom = 0;
		};

		math::Rect fitInside(const math::Rect &inner, const math::Rect &outer);

		template<typename F_Type = uint8_t>
		class Flags
		{
		public:
			operator bool() const;

			void clear();

			void set(F_Type flags);

			void unset(F_Type flags);

			bool are(F_Type flags) const;

			bool operator &(F_Type flags);

			F_Type operator +(F_Type flags);

			F_Type operator -(F_Type flags);

			Flags& operator+=(F_Type flags);

			Flags& operator-=(F_Type flags);

			template<typename E>
			void set(E flags);

			template<typename E>
			void unset(E flags);

			template<typename E>
			bool are(E flags) const;

			template<typename E>
			bool operator &(E flags);

			template<typename E>
			typename std::enable_if<std::is_enum<E>::value, E>::type operator +(E flags);

			template<typename E>
			typename std::enable_if<std::is_enum<E>::value, E>::type operator -(E flags);

		private:
			unsigned m_flags = 0;
		};

		
		struct Vertex
		{
			glm::vec4 position;
			glm::vec4 normal;
			glm::vec2 texcoord;
			glm::vec2 __padding;
			glm::vec4 tangent;
			glm::vec4 bitangent;
		};

		struct Triangle
		{
			glm::vec4 a;
			glm::vec4 b;
			glm::vec4 c;

			glm::vec4& operator[](size_t index);

			const glm::vec4& operator[](size_t index) const;

			glm::vec4 normal() const;
		};

		struct Plane
		{
			glm::vec4 normal;
			glm::vec4 origin;
		};

		struct Ray
		{
208
209
210
211
			glm::vec3 direction;
			float px;
			glm::vec3 origin;
			float py;
's avatar
committed
212
213
214
215
		};

		struct Hit
		{
216
			glm::vec2 barycentric;
's avatar
committed
217
218
219
			glm::uint triangle;
			glm::uint mesh;
		};
220
		
's avatar
committed
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
		struct Bounds
		{
			glm::vec4 min;
			glm::vec4 max;

			glm::vec4& operator[](uint32_t i);

			const glm::vec4& operator[](uint32_t i) const;

			Bounds();

			Bounds(const Bounds& c);

			bool contains(glm::vec4 point) const;

			glm::vec4 size() const;

			void expand(const glm::vec3& include);

			void expand(const glm::vec4& include);

			void expand(const Bounds& include);

			float surface() const;

			int largest() const;
's avatar
committed
247
248
			
			void print(std::ostream &stream) const;
's avatar
committed
249
250
251
252
		};

		struct UniformBoundsSubdivision
		{
's avatar
committed
253
			UniformBoundsSubdivision(): size(0)
's avatar
committed
254
255
256
257
258
259
			{ } 
			UniformBoundsSubdivision(Bounds bounds, int max_subdivisions);

			size_t childCount() const;

			glm::ivec3 subdivisions;
's avatar
committed
260
			float size;
's avatar
committed
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
		};

		template<typename T>
		struct Range
		{
			union {
				struct {
					T min;
					T max;
				};

				struct
				{
					T begin;
					T end;
				};

				struct
				{
					T first;
					T last;
				};

				struct
				{
					T in;
					T out;
				};

				glm::tvec2<T, glm::highp> vec;
			};

			Range() : min(T()), max(T()) {}
			Range(T min) : min(min), max(T()) {}
			Range(T min, T max) : min(min), max(max) {}

			T length()
			{
				return max - min + 1;
			}
		};

		struct Toggle
		{
			Toggle(bool v);

			bool operator()();

			operator bool() const;

			bool operator=(bool b);

			bool operator==(bool b) const;

			bool* _b_ptr();

		private:
			bool m_value;
		};

		template <typename F_Type>
		Flags<F_Type>::operator bool() const
		{
			return m_flags != 0;
		}

		template <typename F_Type>
		void Flags<F_Type>::clear()
		{
			m_flags = 0;
		}

		template <typename F_Type>
		void Flags<F_Type>::set(F_Type flags)
		{
			m_flags |= flags;
		}

		template <typename F_Type>
		void Flags<F_Type>::unset(F_Type flags)
		{
			m_flags &= ~flags;
		}

		template <typename F_Type>
		bool Flags<F_Type>::are(F_Type flags) const
		{
			return (m_flags & flags) == flags;
		}

		template <typename F_Type>
		bool Flags<F_Type>::operator&(F_Type flags)
		{
			return are(flags);
		}

		template <typename F_Type>
		F_Type Flags<F_Type>::operator+(F_Type flags)
		{
			set(flags);
			return *this;
		}

		template <typename F_Type>
		F_Type Flags<F_Type>::operator-(F_Type flags)
		{
			unset(flags);
			return *this;
		}

		template <typename F_Type>
		Flags<F_Type>& Flags<F_Type>::operator+=(F_Type flags)
		{
			set(flags);
			return *this;
		}

		template <typename F_Type>
		Flags<F_Type>& Flags<F_Type>::operator-=(F_Type flags)
		{
			unset(flags);
			return *this;
		}

		template <typename F_Type>
		template <typename E>
		void Flags<F_Type>::set(E flags)
		{
			m_flags |= static_cast<F_Type>(flags);
		}

		template <typename F_Type>
		template <typename E>
		void Flags<F_Type>::unset(E flags)
		{
			m_flags &= ~static_cast<F_Type>(flags);
		}

		template <typename F_Type>
		template <typename E>
		bool Flags<F_Type>::are(E flags) const
		{
			return (m_flags & static_cast<F_Type>(flags)) == static_cast<F_Type>(flags);
		}

		template <typename F_Type>
		template <typename E>
		bool Flags<F_Type>::operator&(E flags)
		{
			return are(flags);
		}

		template <typename F_Type>
		template <typename E>
		typename std::enable_if<std::is_enum<E>::value, E>::type Flags<F_Type>::operator+(E flags)
		{
			set(flags);
			return *this;
		}

		template <typename F_Type>
		template <typename E>
		typename std::enable_if<std::is_enum<E>::value, E>::type Flags<F_Type>::operator-(E flags)
		{
			unset(flags);
			return *this;
		}

		template<typename E, typename FlagType>
		inline FlagType &operator+=(E flag, FlagType& flags)
		{
			set(flag);
			return flags;
		}

		template<typename E, typename FlagType>
		inline FlagType &operator-=(E flag, FlagType& flags)
		{
			flags.unset(flag);
			return flags;
		}

	}
}

#endif //__GLARE_MATH_H