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
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
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
208
209
210
211
212
213
214
215
216
217
218
219
220
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
247
248
249
250
251
252
253
254
255
256
257
258
259
260
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
|
///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
/// 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.
///
/// Restrictions:
/// By making use of the Software for military purposes, you choose to make
/// a Bunny unhappy.
///
/// 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.
///
/// @ref core
/// @file glm/detail/func_integer.inl
/// @date 2010-03-17 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "type_vec2.hpp"
#include "type_vec3.hpp"
#include "type_vec4.hpp"
#include "type_int.hpp"
#include "_vectorize.hpp"
#if(GLM_ARCH != GLM_ARCH_PURE)
#if(GLM_COMPILER & GLM_COMPILER_VC)
# include <intrin.h>
# pragma intrinsic(_BitScanReverse)
#endif//(GLM_COMPILER & GLM_COMPILER_VC)
#endif//(GLM_ARCH != GLM_ARCH_PURE)
#include <limits>
namespace glm{
namespace detail
{
template <typename T>
GLM_FUNC_QUALIFIER T mask(T Bits)
{
return Bits >= sizeof(T) * 8 ? ~static_cast<T>(0) : (static_cast<T>(1) << Bits) - static_cast<T>(1);
}
template <bool EXEC = false>
struct compute_bitfieldReverseStep
{
template <typename T, glm::precision P, template <class, glm::precision> class vecType>
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T, T)
{
return v;
}
};
template <>
struct compute_bitfieldReverseStep<true>
{
template <typename T, glm::precision P, template <class, glm::precision> class vecType>
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T Mask, T Shift)
{
return (v & Mask) << Shift | (v & (~Mask)) >> Shift;
}
};
template <bool EXEC = false>
struct compute_bitfieldBitCountStep
{
template <typename T, glm::precision P, template <class, glm::precision> class vecType>
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T, T)
{
return v;
}
};
template <>
struct compute_bitfieldBitCountStep<true>
{
template <typename T, glm::precision P, template <class, glm::precision> class vecType>
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T Mask, T Shift)
{
return (v & Mask) + ((v >> Shift) & Mask);
}
};
template <typename genIUType, size_t Bits>
struct compute_findLSB
{
GLM_FUNC_QUALIFIER static int call(genIUType Value)
{
if(Value == 0)
return -1;
return glm::bitCount(~Value & (Value - static_cast<genIUType>(1)));
}
};
# if GLM_HAS_BITSCAN_WINDOWS
template <typename genIUType>
struct compute_findLSB<genIUType, 32>
{
GLM_FUNC_QUALIFIER static int call(genIUType Value)
{
unsigned long Result(0);
unsigned char IsNotNull = _BitScanForward(&Result, *reinterpret_cast<unsigned long*>(&Value));
return IsNotNull ? int(Result) : -1;
}
};
# if !((GLM_COMPILER & GLM_COMPILER_VC) && (GLM_MODEL == GLM_MODEL_32))
template <typename genIUType>
struct compute_findLSB<genIUType, 64>
{
GLM_FUNC_QUALIFIER static int call(genIUType Value)
{
unsigned long Result(0);
unsigned char IsNotNull = _BitScanForward64(&Result, *reinterpret_cast<unsigned __int64*>(&Value));
return IsNotNull ? int(Result) : -1;
}
};
# endif
# endif//GLM_HAS_BITSCAN_WINDOWS
template <typename T, glm::precision P, template <class, glm::precision> class vecType, bool EXEC = true>
struct compute_findMSB_step_vec
{
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, T Shift)
{
return x | (x >> Shift);
}
};
template <typename T, glm::precision P, template <typename, glm::precision> class vecType>
struct compute_findMSB_step_vec<T, P, vecType, false>
{
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, T)
{
return x;
}
};
template <typename T, glm::precision P, template <typename, glm::precision> class vecType, int>
struct compute_findMSB_vec
{
GLM_FUNC_QUALIFIER static vecType<int, P> call(vecType<T, P> const & vec)
{
vecType<T, P> x(vec);
x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 8>::call(x, static_cast<T>( 1));
x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 8>::call(x, static_cast<T>( 2));
x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 8>::call(x, static_cast<T>( 4));
x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 16>::call(x, static_cast<T>( 8));
x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 32>::call(x, static_cast<T>(16));
x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 64>::call(x, static_cast<T>(32));
return vecType<int, P>(sizeof(T) * 8 - 1) - glm::bitCount(~x);
}
};
# if GLM_HAS_BITSCAN_WINDOWS
template <typename genIUType>
GLM_FUNC_QUALIFIER int compute_findMSB_32(genIUType Value)
{
unsigned long Result(0);
unsigned char IsNotNull = _BitScanReverse(&Result, *reinterpret_cast<unsigned long*>(&Value));
return IsNotNull ? int(Result) : -1;
}
template <typename T, glm::precision P, template <class, glm::precision> class vecType>
struct compute_findMSB_vec<T, P, vecType, 32>
{
GLM_FUNC_QUALIFIER static vecType<int, P> call(vecType<T, P> const & x)
{
return detail::functor1<int, T, P, vecType>::call(compute_findMSB_32, x);
}
};
# if !((GLM_COMPILER & GLM_COMPILER_VC) && (GLM_MODEL == GLM_MODEL_32))
template <typename genIUType>
GLM_FUNC_QUALIFIER int compute_findMSB_64(genIUType Value)
{
unsigned long Result(0);
unsigned char IsNotNull = _BitScanReverse64(&Result, *reinterpret_cast<unsigned __int64*>(&Value));
return IsNotNull ? int(Result) : -1;
}
template <typename T, glm::precision P, template <class, glm::precision> class vecType>
struct compute_findMSB_vec<T, P, vecType, 64>
{
GLM_FUNC_QUALIFIER static vecType<int, P> call(vecType<T, P> const & x)
{
return detail::functor1<int, T, P, vecType>::call(compute_findMSB_64, x);
}
};
# endif
# endif//GLM_HAS_BITSCAN_WINDOWS
}//namespace detail
// uaddCarry
GLM_FUNC_QUALIFIER uint uaddCarry(uint const & x, uint const & y, uint & Carry)
{
uint64 const Value64(static_cast<uint64>(x) + static_cast<uint64>(y));
uint64 const Max32((static_cast<uint64>(1) << static_cast<uint64>(32)) - static_cast<uint64>(1));
Carry = Value64 > Max32 ? 1 : 0;
return static_cast<uint32>(Value64 % (Max32 + static_cast<uint64>(1)));
}
template <precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<uint, P> uaddCarry(vecType<uint, P> const & x, vecType<uint, P> const & y, vecType<uint, P> & Carry)
{
vecType<uint64, P> Value64(vecType<uint64, P>(x) + vecType<uint64, P>(y));
vecType<uint64, P> Max32((static_cast<uint64>(1) << static_cast<uint64>(32)) - static_cast<uint64>(1));
Carry = mix(vecType<uint32, P>(0), vecType<uint32, P>(1), greaterThan(Value64, Max32));
return vecType<uint32,P>(Value64 % (Max32 + static_cast<uint64>(1)));
}
// usubBorrow
GLM_FUNC_QUALIFIER uint usubBorrow(uint const & x, uint const & y, uint & Borrow)
{
GLM_STATIC_ASSERT(sizeof(uint) == sizeof(uint32), "uint and uint32 size mismatch");
Borrow = x >= y ? static_cast<uint32>(0) : static_cast<uint32>(1);
if(y >= x)
return y - x;
else
return static_cast<uint32>((static_cast<int64>(1) << static_cast<int64>(32)) + (static_cast<int64>(y) - static_cast<int64>(x)));
}
template <precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<uint, P> usubBorrow(vecType<uint, P> const & x, vecType<uint, P> const & y, vecType<uint, P> & Borrow)
{
Borrow = mix(vecType<uint, P>(1), vecType<uint, P>(0), greaterThanEqual(x, y));
vecType<uint, P> const YgeX(y - x);
vecType<uint, P> const XgeY(vecType<uint32, P>((static_cast<int64>(1) << static_cast<int64>(32)) + (vecType<int64, P>(y) - vecType<int64, P>(x))));
return mix(XgeY, YgeX, greaterThanEqual(y, x));
}
// umulExtended
GLM_FUNC_QUALIFIER void umulExtended(uint const & x, uint const & y, uint & msb, uint & lsb)
{
GLM_STATIC_ASSERT(sizeof(uint) == sizeof(uint32), "uint and uint32 size mismatch");
uint64 Value64 = static_cast<uint64>(x) * static_cast<uint64>(y);
uint32* PointerMSB = (reinterpret_cast<uint32*>(&Value64) + 1);
msb = *PointerMSB;
uint32* PointerLSB = (reinterpret_cast<uint32*>(&Value64) + 0);
lsb = *PointerLSB;
}
template <precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER void umulExtended(vecType<uint, P> const & x, vecType<uint, P> const & y, vecType<uint, P> & msb, vecType<uint, P> & lsb)
{
GLM_STATIC_ASSERT(sizeof(uint) == sizeof(uint32), "uint and uint32 size mismatch");
vecType<uint64, P> Value64(vecType<uint64, P>(x) * vecType<uint64, P>(y));
msb = vecType<uint32, P>(Value64 >> static_cast<uint64>(32));
lsb = vecType<uint32, P>(Value64);
}
// imulExtended
GLM_FUNC_QUALIFIER void imulExtended(int x, int y, int & msb, int & lsb)
{
GLM_STATIC_ASSERT(sizeof(int) == sizeof(int32), "int and int32 size mismatch");
int64 Value64 = static_cast<int64>(x) * static_cast<int64>(y);
int32* PointerMSB = (reinterpret_cast<int32*>(&Value64) + 1);
msb = *PointerMSB;
int32* PointerLSB = (reinterpret_cast<int32*>(&Value64));
lsb = *PointerLSB;
}
template <precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER void imulExtended(vecType<int, P> const & x, vecType<int, P> const & y, vecType<int, P> & msb, vecType<int, P> & lsb)
{
GLM_STATIC_ASSERT(sizeof(int) == sizeof(int32), "int and int32 size mismatch");
vecType<int64, P> Value64(vecType<int64, P>(x) * vecType<int64, P>(y));
lsb = vecType<int32, P>(Value64 & static_cast<int64>(0xFFFFFFFF));
msb = vecType<int32, P>((Value64 >> static_cast<int64>(32)) & static_cast<int64>(0xFFFFFFFF));
}
// bitfieldExtract
template <typename genIUType>
GLM_FUNC_QUALIFIER genIUType bitfieldExtract(genIUType Value, int Offset, int Bits)
{
return bitfieldExtract(tvec1<genIUType>(Value), Offset, Bits).x;
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> bitfieldExtract(vecType<T, P> const & Value, int Offset, int Bits)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'bitfieldExtract' only accept integer inputs");
return (Value >> static_cast<T>(Offset)) & static_cast<T>(detail::mask(Bits));
}
// bitfieldInsert
template <typename genIUType>
GLM_FUNC_QUALIFIER genIUType bitfieldInsert(genIUType const & Base, genIUType const & Insert, int Offset, int Bits)
{
return bitfieldInsert(tvec1<genIUType>(Base), tvec1<genIUType>(Insert), Offset, Bits).x;
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> bitfieldInsert(vecType<T, P> const & Base, vecType<T, P> const & Insert, int Offset, int Bits)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'bitfieldInsert' only accept integer values");
T const Mask = static_cast<T>(detail::mask(Bits) << Offset);
return (Base & ~Mask) | (Insert & Mask);
}
// bitfieldReverse
template <typename genType>
GLM_FUNC_QUALIFIER genType bitfieldReverse(genType x)
{
return bitfieldReverse(glm::tvec1<genType, glm::defaultp>(x)).x;
}
template <typename T, glm::precision P, template <typename, glm::precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> bitfieldReverse(vecType<T, P> const & v)
{
vecType<T, P> x(v);
x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 2>::call(x, T(0x5555555555555555ull), static_cast<T>( 1));
x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 4>::call(x, T(0x3333333333333333ull), static_cast<T>( 2));
x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 8>::call(x, T(0x0F0F0F0F0F0F0F0Full), static_cast<T>( 4));
x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 16>::call(x, T(0x00FF00FF00FF00FFull), static_cast<T>( 8));
x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 32>::call(x, T(0x0000FFFF0000FFFFull), static_cast<T>(16));
x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 64>::call(x, T(0x00000000FFFFFFFFull), static_cast<T>(32));
return x;
}
// bitCount
template <typename genType>
GLM_FUNC_QUALIFIER int bitCount(genType x)
{
return bitCount(glm::tvec1<genType, glm::defaultp>(x)).x;
}
template <typename T, glm::precision P, template <typename, glm::precision> class vecType>
GLM_FUNC_QUALIFIER vecType<int, P> bitCount(vecType<T, P> const & v)
{
vecType<typename detail::make_unsigned<T>::type, P> x(*reinterpret_cast<vecType<typename detail::make_unsigned<T>::type, P> const *>(&v));
x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 2>::call(x, typename detail::make_unsigned<T>::type(0x5555555555555555ull), typename detail::make_unsigned<T>::type( 1));
x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 4>::call(x, typename detail::make_unsigned<T>::type(0x3333333333333333ull), typename detail::make_unsigned<T>::type( 2));
x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 8>::call(x, typename detail::make_unsigned<T>::type(0x0F0F0F0F0F0F0F0Full), typename detail::make_unsigned<T>::type( 4));
x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 16>::call(x, typename detail::make_unsigned<T>::type(0x00FF00FF00FF00FFull), typename detail::make_unsigned<T>::type( 8));
x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 32>::call(x, typename detail::make_unsigned<T>::type(0x0000FFFF0000FFFFull), typename detail::make_unsigned<T>::type(16));
x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 64>::call(x, typename detail::make_unsigned<T>::type(0x00000000FFFFFFFFull), typename detail::make_unsigned<T>::type(32));
return vecType<int, P>(x);
}
// findLSB
template <typename genIUType>
GLM_FUNC_QUALIFIER int findLSB(genIUType Value)
{
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findLSB' only accept integer values");
return detail::compute_findLSB<genIUType, sizeof(genIUType) * 8>::call(Value);
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<int, P> findLSB(vecType<T, P> const & x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'findLSB' only accept integer values");
return detail::functor1<int, T, P, vecType>::call(findLSB, x);
}
// findMSB
template <typename genIUType>
GLM_FUNC_QUALIFIER int findMSB(genIUType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findMSB' only accept integer values");
return findMSB(tvec1<genIUType>(x)).x;
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<int, P> findMSB(vecType<T, P> const & x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'findMSB' only accept integer values");
return detail::compute_findMSB_vec<T, P, vecType, sizeof(T) * 8>::call(x);
}
}//namespace glm
|