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      1 ///////////////////////////////////////////////////////////////////////////////////
      2 /// OpenGL Mathematics (glm.g-truc.net)
      3 ///
      4 /// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
      5 /// Permission is hereby granted, free of charge, to any person obtaining a copy
      6 /// of this software and associated documentation files (the "Software"), to deal
      7 /// in the Software without restriction, including without limitation the rights
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      9 /// copies of the Software, and to permit persons to whom the Software is
     10 /// furnished to do so, subject to the following conditions:
     11 /// 
     12 /// The above copyright notice and this permission notice shall be included in
     13 /// all copies or substantial portions of the Software.
     14 /// 
     15 /// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
     16 /// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
     17 /// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
     18 /// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
     19 /// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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     21 /// THE SOFTWARE.
     22 ///
     23 /// @ref core
     24 /// @file glm/core/type_mat2x4.inl
     25 /// @date 2006-08-05 / 2011-06-15
     26 /// @author Christophe Riccio
     27 ///////////////////////////////////////////////////////////////////////////////////
     28 
     29 namespace glm{
     30 namespace detail
     31 {
     32 	template <typename T, precision P>
     33 	GLM_FUNC_QUALIFIER GLM_CONSTEXPR length_t tmat2x4<T, P>::length() const
     34 	{
     35 		return 2;
     36 	}
     37 
     38 	//////////////////////////////////////
     39 	// Accesses
     40 
     41 	template <typename T, precision P>
     42 	GLM_FUNC_QUALIFIER typename tmat2x4<T, P>::col_type &
     43 	tmat2x4<T, P>::operator[]
     44 	(
     45 		length_t i
     46 	)
     47 	{
     48 		assert(i < this->length());
     49 		return this->value[i];
     50 	}
     51 
     52 	template <typename T, precision P>
     53 	GLM_FUNC_QUALIFIER typename tmat2x4<T, P>::col_type const &
     54 	tmat2x4<T, P>::operator[]
     55 	(
     56 		length_t i
     57 	) const
     58 	{
     59 		assert(i < this->length());
     60 		return this->value[i];
     61 	}
     62 
     63 	//////////////////////////////////////////////////////////////
     64 	// Constructors
     65 
     66 	template <typename T, precision P>
     67 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4()
     68 	{
     69 		value_type const Zero(0);
     70 		value_type const One(1);
     71 		this->value[0] = col_type(One, Zero, Zero, Zero);
     72 		this->value[1] = col_type(Zero, One, Zero, Zero);
     73 	}
     74 
     75 	template <typename T, precision P>
     76 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
     77 	(
     78 		tmat2x4<T, P> const & m
     79 	)
     80 	{
     81 		this->value[0] = m.value[0];
     82 		this->value[1] = m.value[1];
     83 	}
     84 
     85 	template <typename T, precision P>
     86 	template <precision Q>
     87 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4(
     88 		tmat2x4<T, Q> const & m)
     89 	{
     90 		this->value[0] = m.value[0];
     91 		this->value[1] = m.value[1];
     92 	}
     93 
     94 	template <typename T, precision P>
     95 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
     96 	(
     97 		ctor
     98 	)
     99 	{}
    100 
    101 	template <typename T, precision P>
    102 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    103 	(
    104 		T const & s
    105 	)
    106 	{
    107 		value_type const Zero(0);
    108 		this->value[0] = col_type(s, Zero, Zero, Zero);
    109 		this->value[1] = col_type(Zero, s, Zero, Zero);
    110 	}
    111 
    112 	template <typename T, precision P>
    113 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    114 	(
    115 		T const & x0, T const & y0, T const & z0, T const & w0,
    116 		T const & x1, T const & y1, T const & z1, T const & w1
    117 	)
    118 	{
    119 		this->value[0] = col_type(x0, y0, z0, w0);
    120 		this->value[1] = col_type(x1, y1, z1, w1);
    121 	}
    122 
    123 	template <typename T, precision P>
    124 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    125 	(
    126 		col_type const & v0,
    127 		col_type const & v1
    128 	)
    129 	{
    130 		this->value[0] = v0;
    131 		this->value[1] = v1;
    132 	}
    133 
    134 	//////////////////////////////////////
    135 	// Conversion constructors
    136 	template <typename T, precision P>
    137 	template <
    138 		typename X1, typename Y1, typename Z1, typename W1,
    139 		typename X2, typename Y2, typename Z2, typename W2>
    140 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    141 	(
    142 		X1 const & x1, Y1 const & y1, Z1 const & z1, W1 const & w1,
    143 		X2 const & x2, Y2 const & y2, Z2 const & z2, W2 const & w2
    144 	)
    145 	{
    146 		this->value[0] = col_type(static_cast<T>(x1), value_type(y1), value_type(z1), value_type(w1));
    147 		this->value[1] = col_type(static_cast<T>(x2), value_type(y2), value_type(z2), value_type(w2));
    148 	}
    149 	
    150 	template <typename T, precision P>
    151 	template <typename V1, typename V2>
    152 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    153 	(
    154 		tvec4<V1, P> const & v1,
    155 		tvec4<V2, P> const & v2
    156 	)
    157 	{
    158 		this->value[0] = col_type(v1);
    159 		this->value[1] = col_type(v2);
    160 	}
    161 
    162 	//////////////////////////////////////
    163 	// Matrix conversions
    164 
    165 	template <typename T, precision P>
    166 	template <typename U, precision Q>
    167 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    168 	(
    169 		tmat2x4<U, Q> const & m
    170 	)
    171 	{
    172 		this->value[0] = col_type(m[0]);
    173 		this->value[1] = col_type(m[1]);
    174 	}
    175 
    176 	template <typename T, precision P>
    177 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    178 	(
    179 		tmat2x2<T, P> const & m
    180 	)
    181 	{
    182 		this->value[0] = col_type(m[0], detail::tvec2<T, P>(0));
    183 		this->value[1] = col_type(m[1], detail::tvec2<T, P>(0));
    184 	}
    185 
    186 	template <typename T, precision P>
    187 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    188 	(
    189 		tmat3x3<T, P> const & m
    190 	)
    191 	{
    192 		this->value[0] = col_type(m[0], T(0));
    193 		this->value[1] = col_type(m[1], T(0));
    194 	}
    195 
    196 	template <typename T, precision P>
    197 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    198 	(
    199 		tmat4x4<T, P> const & m
    200 	)
    201 	{
    202 		this->value[0] = col_type(m[0]);
    203 		this->value[1] = col_type(m[1]);
    204 	}
    205 
    206 	template <typename T, precision P>
    207 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    208 	(
    209 		tmat2x3<T, P> const & m
    210 	)
    211 	{
    212 		this->value[0] = col_type(m[0], T(0));
    213 		this->value[1] = col_type(m[1], T(0));
    214 	}
    215 
    216 	template <typename T, precision P>
    217 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    218 	(
    219 		tmat3x2<T, P> const & m
    220 	)
    221 	{
    222 		this->value[0] = col_type(m[0], detail::tvec2<T, P>(0));
    223 		this->value[1] = col_type(m[1], detail::tvec2<T, P>(0));
    224 	}
    225 
    226 	template <typename T, precision P>
    227 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    228 	(
    229 		tmat3x4<T, P> const & m
    230 	)
    231 	{
    232 		this->value[0] = m[0];
    233 		this->value[1] = m[1];
    234 	}
    235 
    236 	template <typename T, precision P>
    237 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    238 	(
    239 		tmat4x2<T, P> const & m
    240 	)
    241 	{
    242 		this->value[0] = col_type(m[0], detail::tvec2<T, P>(T(0)));
    243 		this->value[1] = col_type(m[1], detail::tvec2<T, P>(T(0)));
    244 	}
    245 
    246 	template <typename T, precision P>
    247 	GLM_FUNC_QUALIFIER tmat2x4<T, P>::tmat2x4
    248 	(
    249 		tmat4x3<T, P> const & m
    250 	)
    251 	{
    252 		this->value[0] = col_type(m[0], T(0));
    253 		this->value[1] = col_type(m[1], T(0));
    254 	}
    255 
    256 	//////////////////////////////////////////////////////////////
    257 	// Unary updatable operators
    258 
    259 	template <typename T, precision P>
    260 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator= (tmat2x4<T, P> const & m)
    261 	{
    262 		this->value[0] = m[0];
    263 		this->value[1] = m[1];
    264 		return *this;
    265 	}
    266 
    267 	template <typename T, precision P>
    268 	template <typename U>
    269 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator= (tmat2x4<U, P> const & m)
    270 	{
    271 		this->value[0] = m[0];
    272 		this->value[1] = m[1];
    273 		return *this;
    274 	}
    275 
    276 	template <typename T, precision P>
    277 	template <typename U>
    278 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator+= (U s)
    279 	{
    280 		this->value[0] += s;
    281 		this->value[1] += s;
    282 		return *this;
    283 	}
    284 
    285 	template <typename T, precision P>
    286 	template <typename U>
    287 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator+= (tmat2x4<U, P> const & m)
    288 	{
    289 		this->value[0] += m[0];
    290 		this->value[1] += m[1];
    291 		return *this;
    292 	}
    293 
    294 	template <typename T, precision P>
    295 	template <typename U>
    296 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator-= (U s)
    297 	{
    298 		this->value[0] -= s;
    299 		this->value[1] -= s;
    300 		return *this;
    301 	}
    302 
    303 	template <typename T, precision P>
    304 	template <typename U>
    305 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator-= (tmat2x4<U, P> const & m)
    306 	{
    307 		this->value[0] -= m[0];
    308 		this->value[1] -= m[1];
    309 		return *this;
    310 	}
    311 
    312 	template <typename T, precision P>
    313 	template <typename U>
    314 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator*= (U s)
    315 	{
    316 		this->value[0] *= s;
    317 		this->value[1] *= s;
    318 		return *this;
    319 	}
    320 
    321 	template <typename T, precision P>
    322 	template <typename U>
    323 	GLM_FUNC_QUALIFIER tmat2x4<T, P> & tmat2x4<T, P>::operator/= (U s)
    324 	{
    325 		this->value[0] /= s;
    326 		this->value[1] /= s;
    327 		return *this;
    328 	}
    329 
    330 	template <typename T, precision P>
    331 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator++()
    332 	{
    333 		++this->value[0];
    334 		++this->value[1];
    335 		return *this;
    336 	}
    337 
    338 	template <typename T, precision P>
    339 	GLM_FUNC_QUALIFIER tmat2x4<T, P>& tmat2x4<T, P>::operator--()
    340 	{
    341 		--this->value[0];
    342 		--this->value[1];
    343 		return *this;
    344 	}
    345 
    346 	template <typename T, precision P>
    347 	GLM_FUNC_QUALIFIER tmat2x4<T, P> tmat2x4<T, P>::operator++(int)
    348 	{
    349 		tmat2x4<T, P> Result(*this);
    350 		++*this;
    351 		return Result;
    352 	}
    353 
    354 	template <typename T, precision P>
    355 	GLM_FUNC_QUALIFIER tmat2x4<T, P> tmat2x4<T, P>::operator--(int)
    356 	{
    357 		tmat2x4<T, P> Result(*this);
    358 		--*this;
    359 		return Result;
    360 	}
    361 
    362 	//////////////////////////////////////////////////////////////
    363 	// Binary operators
    364 
    365 	template <typename T, precision P>
    366 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator+
    367 	(
    368 		tmat2x4<T, P> const & m,
    369 		T const & s
    370 	)
    371 	{
    372 		return tmat2x4<T, P>(
    373 			m[0] + s,
    374 			m[1] + s);
    375 	}
    376 
    377 	template <typename T, precision P> 
    378 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator+
    379 	(
    380 		tmat2x4<T, P> const & m1,
    381 		tmat2x4<T, P> const & m2
    382 	)
    383 	{
    384 		return tmat2x4<T, P>(
    385 			m1[0] + m2[0],
    386 			m1[1] + m2[1]);
    387 	}
    388 
    389 	template <typename T, precision P> 
    390 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator-
    391 	(
    392 		tmat2x4<T, P> const & m,
    393 		T const & s
    394 	)
    395 	{
    396 		return tmat2x4<T, P>(
    397 			m[0] - s,
    398 			m[1] - s);
    399 	}
    400 
    401 	template <typename T, precision P>
    402 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator-
    403 	(
    404 		tmat2x4<T, P> const & m1,
    405 		tmat2x4<T, P> const & m2
    406 	)
    407 	{
    408 		return tmat2x4<T, P>(
    409 			m1[0] - m2[0],
    410 			m1[1] - m2[1]);
    411 	}
    412 
    413 	template <typename T, precision P>
    414 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator*
    415 	(
    416 		tmat2x4<T, P> const & m,
    417 		T const & s
    418 	)
    419 	{
    420 		return tmat2x4<T, P>(
    421 			m[0] * s,
    422 			m[1] * s);
    423 	}
    424 
    425 	template <typename T, precision P> 
    426 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator*
    427 	(
    428 		T const & s, 
    429 		tmat2x4<T, P> const & m
    430 	)
    431 	{
    432 		return tmat2x4<T, P>(
    433 			m[0] * s,
    434 			m[1] * s);
    435 	}
    436 
    437 	template <typename T, precision P>
    438 	GLM_FUNC_QUALIFIER typename tmat2x4<T, P>::col_type operator* 
    439 	(
    440 		tmat2x4<T, P> const & m, 
    441 		typename tmat2x4<T, P>::row_type const & v
    442 	)
    443 	{
    444 		return typename tmat2x4<T, P>::col_type(
    445 			m[0][0] * v.x + m[1][0] * v.y,
    446 			m[0][1] * v.x + m[1][1] * v.y,
    447 			m[0][2] * v.x + m[1][2] * v.y,
    448 			m[0][3] * v.x + m[1][3] * v.y);
    449 	}
    450 
    451 	template <typename T, precision P>
    452 	GLM_FUNC_QUALIFIER typename tmat2x4<T, P>::row_type operator*
    453 	(
    454 		typename tmat2x4<T, P>::col_type const & v,
    455 		tmat2x4<T, P> const & m
    456 	)
    457 	{
    458 		return typename tmat2x4<T, P>::row_type(
    459 			v.x * m[0][0] + v.y * m[0][1] + v.z * m[0][2] + v.w * m[0][3],
    460 			v.x * m[1][0] + v.y * m[1][1] + v.z * m[1][2] + v.w * m[1][3]);
    461 	}
    462 
    463 	template <typename T, precision P>
    464 	GLM_FUNC_QUALIFIER tmat4x4<T, P> operator*
    465 	(
    466 		tmat2x4<T, P> const & m1,
    467 		tmat4x2<T, P> const & m2
    468 	)
    469 	{
    470 		T SrcA00 = m1[0][0];
    471 		T SrcA01 = m1[0][1];
    472 		T SrcA02 = m1[0][2];
    473 		T SrcA03 = m1[0][3];
    474 		T SrcA10 = m1[1][0];
    475 		T SrcA11 = m1[1][1];
    476 		T SrcA12 = m1[1][2];
    477 		T SrcA13 = m1[1][3];
    478 
    479 		T SrcB00 = m2[0][0];
    480 		T SrcB01 = m2[0][1];
    481 		T SrcB10 = m2[1][0];
    482 		T SrcB11 = m2[1][1];
    483 		T SrcB20 = m2[2][0];
    484 		T SrcB21 = m2[2][1];
    485 		T SrcB30 = m2[3][0];
    486 		T SrcB31 = m2[3][1];
    487 
    488 		tmat4x4<T, P> Result(tmat4x4<T, P>::_null);
    489 		Result[0][0] = SrcA00 * SrcB00 + SrcA10 * SrcB01;
    490 		Result[0][1] = SrcA01 * SrcB00 + SrcA11 * SrcB01;
    491 		Result[0][2] = SrcA02 * SrcB00 + SrcA12 * SrcB01;
    492 		Result[0][3] = SrcA03 * SrcB00 + SrcA13 * SrcB01;
    493 		Result[1][0] = SrcA00 * SrcB10 + SrcA10 * SrcB11;
    494 		Result[1][1] = SrcA01 * SrcB10 + SrcA11 * SrcB11;
    495 		Result[1][2] = SrcA02 * SrcB10 + SrcA12 * SrcB11;
    496 		Result[1][3] = SrcA03 * SrcB10 + SrcA13 * SrcB11;
    497 		Result[2][0] = SrcA00 * SrcB20 + SrcA10 * SrcB21;
    498 		Result[2][1] = SrcA01 * SrcB20 + SrcA11 * SrcB21;
    499 		Result[2][2] = SrcA02 * SrcB20 + SrcA12 * SrcB21;
    500 		Result[2][3] = SrcA03 * SrcB20 + SrcA13 * SrcB21;
    501 		Result[3][0] = SrcA00 * SrcB30 + SrcA10 * SrcB31;
    502 		Result[3][1] = SrcA01 * SrcB30 + SrcA11 * SrcB31;
    503 		Result[3][2] = SrcA02 * SrcB30 + SrcA12 * SrcB31;
    504 		Result[3][3] = SrcA03 * SrcB30 + SrcA13 * SrcB31;
    505 		return Result;
    506 	}
    507 
    508 	template <typename T, precision P>
    509 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator*
    510 	(
    511 		tmat2x4<T, P> const & m1,
    512 		tmat2x2<T, P> const & m2
    513 	)
    514 	{
    515 		return tmat2x4<T, P>(
    516 			m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
    517 			m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
    518 			m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1],
    519 			m1[0][3] * m2[0][0] + m1[1][3] * m2[0][1],
    520 			m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
    521 			m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1],
    522 			m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1],
    523 			m1[0][3] * m2[1][0] + m1[1][3] * m2[1][1]);
    524 	}
    525 
    526 	template <typename T, precision P>
    527 	GLM_FUNC_QUALIFIER tmat3x4<T, P> operator*
    528 	(
    529 		tmat2x4<T, P> const & m1,
    530 		tmat3x2<T, P> const & m2
    531 	)
    532 	{
    533 		return tmat3x4<T, P>(
    534 			m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
    535 			m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
    536 			m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1],
    537 			m1[0][3] * m2[0][0] + m1[1][3] * m2[0][1],
    538 			m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
    539 			m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1],
    540 			m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1],
    541 			m1[0][3] * m2[1][0] + m1[1][3] * m2[1][1],
    542 			m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1],
    543 			m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1],
    544 			m1[0][2] * m2[2][0] + m1[1][2] * m2[2][1],
    545 			m1[0][3] * m2[2][0] + m1[1][3] * m2[2][1]);
    546 	}
    547 
    548 	template <typename T, precision P> 
    549 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator/
    550 	(
    551 		tmat2x4<T, P> const & m,
    552 		T const & s
    553 	)
    554 	{
    555 		return tmat2x4<T, P>(
    556 			m[0] / s,
    557 			m[1] / s);
    558 	}
    559 
    560 	template <typename T, precision P>
    561 	GLM_FUNC_QUALIFIER tmat2x4<T, P> operator/
    562 	(
    563 		T const & s,
    564 		tmat2x4<T, P> const & m
    565 	)
    566 	{
    567 		return tmat2x4<T, P>(
    568 			s / m[0],
    569 			s / m[1]);
    570 	}
    571 
    572 	// Unary constant operators
    573 	template <typename T, precision P>
    574 	GLM_FUNC_QUALIFIER tmat2x4<T, P> const operator-
    575 	(
    576 		tmat2x4<T, P> const & m
    577 	)
    578 	{
    579 		return tmat2x4<T, P>(
    580 			-m[0], 
    581 			-m[1]);
    582 	}
    583 
    584 	//////////////////////////////////////
    585 	// Boolean operators
    586 
    587 	template <typename T, precision P>
    588 	GLM_FUNC_QUALIFIER bool operator==
    589 	(
    590 		tmat2x4<T, P> const & m1,
    591 		tmat2x4<T, P> const & m2
    592 	)
    593 	{
    594 		return (m1[0] == m2[0]) && (m1[1] == m2[1]);
    595 	}
    596 
    597 	template <typename T, precision P>
    598 	GLM_FUNC_QUALIFIER bool operator!=
    599 	(
    600 		tmat2x4<T, P> const & m1,
    601 		tmat2x4<T, P> const & m2
    602 	)
    603 	{
    604 		return (m1[0] != m2[0]) || (m1[1] != m2[1]);
    605 	}
    606 } //namespace detail
    607 } //namespace glm
    608