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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
      8 /// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
      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,
     20 /// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
     21 /// THE SOFTWARE.
     22 ///
     23 /// @ref core
     24 /// @file glm/core/type_mat2x3.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 tmat2x3<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 tmat2x3<T, P>::col_type &
     43 	tmat2x3<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 tmat2x3<T, P>::col_type const &
     54 	tmat2x3<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 tmat2x3<T, P>::tmat2x3()
     68 	{
     69 		this->value[0] = col_type(T(1), T(0), T(0));
     70 		this->value[1] = col_type(T(0), T(1), T(0));
     71 	}
     72 
     73 	template <typename T, precision P> 
     74 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
     75 	(
     76 		tmat2x3<T, P> const & m
     77 	)
     78 	{
     79 		this->value[0] = m.value[0];
     80 		this->value[1] = m.value[1];
     81 	}
     82 
     83 	template <typename T, precision P>
     84 	template <precision Q>
     85 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3(
     86 		tmat2x3<T, Q> const & m)
     87 	{
     88 		this->value[0] = m.value[0];
     89 		this->value[1] = m.value[1];
     90 	}
     91 
     92 	template <typename T, precision P> 
     93 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
     94 	(
     95 		ctor
     96 	)
     97 	{}
     98 
     99 	template <typename T, precision P> 
    100 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    101 	(
    102 		T const & s
    103 	)
    104 	{
    105 		this->value[0] = col_type(s, T(0), T(0));
    106 		this->value[1] = col_type(T(0), s, T(0));
    107 	}
    108 
    109 	template <typename T, precision P> 
    110 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    111 	(
    112 		T const & x0, T const & y0, T const & z0,
    113 		T const & x1, T const & y1, T const & z1
    114 	)
    115 	{
    116 		this->value[0] = col_type(x0, y0, z0);
    117 		this->value[1] = col_type(x1, y1, z1);
    118 	}
    119 
    120 	template <typename T, precision P> 
    121 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    122 	(
    123 		col_type const & v0,
    124 		col_type const & v1
    125 	)
    126 	{
    127 		this->value[0] = v0;
    128 		this->value[1] = v1;
    129 	}
    130 
    131 	//////////////////////////////////////
    132 	// Conversion constructors
    133 	template <typename T, precision P>
    134 	template <
    135 		typename X1, typename Y1, typename Z1,
    136 		typename X2, typename Y2, typename Z2>
    137 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    138 	(
    139 		X1 const & x1, Y1 const & y1, Z1 const & z1,
    140 		X2 const & x2, Y2 const & y2, Z2 const & z2
    141 	)
    142 	{
    143 		this->value[0] = col_type(static_cast<T>(x1), value_type(y1), value_type(z1));
    144 		this->value[1] = col_type(static_cast<T>(x2), value_type(y2), value_type(z2));
    145 	}
    146 	
    147 	template <typename T, precision P>
    148 	template <typename V1, typename V2>
    149 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    150 	(
    151 		tvec3<V1, P> const & v1,
    152 		tvec3<V2, P> const & v2
    153 	)
    154 	{
    155 		this->value[0] = col_type(v1);
    156 		this->value[1] = col_type(v2);
    157 	}
    158 
    159 	//////////////////////////////////////
    160 	// Matrix conversions
    161 
    162 	template <typename T, precision P>
    163 	template <typename U, precision Q>
    164 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    165 	(
    166 		tmat2x3<U, Q> const & m
    167 	)
    168 	{
    169 		this->value[0] = col_type(m[0]);
    170 		this->value[1] = col_type(m[1]);
    171 	}
    172 
    173 	template <typename T, precision P> 
    174 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    175 	(
    176 		tmat2x2<T, P> const & m
    177 	)
    178 	{
    179 		this->value[0] = col_type(m[0], T(0));
    180 		this->value[1] = col_type(m[1], T(0));
    181 	}
    182 
    183 	template <typename T, precision P> 
    184 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    185 	(
    186 		tmat3x3<T, P> const & m
    187 	)
    188 	{
    189 		this->value[0] = col_type(m[0]);
    190 		this->value[1] = col_type(m[1]);
    191 	}
    192 
    193 	template <typename T, precision P> 
    194 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    195 	(
    196 		tmat4x4<T, P> const & m
    197 	)
    198 	{
    199 		this->value[0] = col_type(m[0]);
    200 		this->value[1] = col_type(m[1]);
    201 	}
    202 
    203 	template <typename T, precision P> 
    204 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    205 	(
    206 		tmat2x4<T, P> const & m
    207 	)
    208 	{
    209 		this->value[0] = col_type(m[0]);
    210 		this->value[1] = col_type(m[1]);
    211 	}
    212 
    213 	template <typename T, precision P> 
    214 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    215 	(
    216 		tmat3x2<T, P> const & m
    217 	)
    218 	{
    219 		this->value[0] = col_type(m[0], T(0));
    220 		this->value[1] = col_type(m[1], T(0));
    221 	}
    222 
    223 	template <typename T, precision P> 
    224 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    225 	(
    226 		tmat3x4<T, P> const & m
    227 	)
    228 	{
    229 		this->value[0] = col_type(m[0]);
    230 		this->value[1] = col_type(m[1]);
    231 	}
    232 
    233 	template <typename T, precision P> 
    234 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    235 	(
    236 		tmat4x2<T, P> const & m
    237 	)
    238 	{
    239 		this->value[0] = col_type(m[0], T(0));
    240 		this->value[1] = col_type(m[1], T(0));
    241 	}
    242 
    243 	template <typename T, precision P> 
    244 	GLM_FUNC_QUALIFIER tmat2x3<T, P>::tmat2x3
    245 	(
    246 		tmat4x3<T, P> const & m
    247 	)
    248 	{
    249 		this->value[0] = m[0];
    250 		this->value[1] = m[1];
    251 	}
    252 
    253 	//////////////////////////////////////////////////////////////
    254 	// Unary updatable operators
    255 
    256 	template <typename T, precision P>
    257 	GLM_FUNC_QUALIFIER tmat2x3<T, P>& tmat2x3<T, P>::operator= (tmat2x3<T, P> const & m)
    258 	{
    259 		this->value[0] = m[0];
    260 		this->value[1] = m[1];
    261 		return *this;
    262 	}
    263 
    264 	template <typename T, precision P> 
    265 	template <typename U> 
    266 	GLM_FUNC_QUALIFIER tmat2x3<T, P>& tmat2x3<T, P>::operator= (tmat2x3<U, P> const & m)
    267 	{
    268 		this->value[0] = m[0];
    269 		this->value[1] = m[1];
    270 		return *this;
    271 	}
    272 
    273 	template <typename T, precision P> 
    274 	template <typename U> 
    275 	GLM_FUNC_QUALIFIER tmat2x3<T, P> & tmat2x3<T, P>::operator+= (U s)
    276 	{
    277 		this->value[0] += s;
    278 		this->value[1] += s;
    279 		return *this;
    280 	}
    281 
    282 	template <typename T, precision P> 
    283 	template <typename U> 
    284 	GLM_FUNC_QUALIFIER tmat2x3<T, P>& tmat2x3<T, P>::operator+= (tmat2x3<U, P> const & m)
    285 	{
    286 		this->value[0] += m[0];
    287 		this->value[1] += m[1];
    288 		return *this;
    289 	}
    290 
    291 	template <typename T, precision P> 
    292 	template <typename U> 
    293 	GLM_FUNC_QUALIFIER tmat2x3<T, P>& tmat2x3<T, P>::operator-= (U s)
    294 	{
    295 		this->value[0] -= s;
    296 		this->value[1] -= s;
    297 		return *this;
    298 	}
    299 
    300 	template <typename T, precision P> 
    301 	template <typename U> 
    302 	GLM_FUNC_QUALIFIER tmat2x3<T, P>& tmat2x3<T, P>::operator-= (tmat2x3<U, P> const & m)
    303 	{
    304 		this->value[0] -= m[0];
    305 		this->value[1] -= m[1];
    306 		return *this;
    307 	}
    308 
    309 	template <typename T, precision P> 
    310 	template <typename U> 
    311 	GLM_FUNC_QUALIFIER tmat2x3<T, P>& tmat2x3<T, P>::operator*= (U s)
    312 	{
    313 		this->value[0] *= s;
    314 		this->value[1] *= s;
    315 		return *this;
    316 	}
    317 
    318 	template <typename T, precision P>
    319 	template <typename U> 
    320 	GLM_FUNC_QUALIFIER tmat2x3<T, P> & tmat2x3<T, P>::operator/= (U s)
    321 	{
    322 		this->value[0] /= s;
    323 		this->value[1] /= s;
    324 		return *this;
    325 	}
    326 
    327 	template <typename T, precision P> 
    328 	GLM_FUNC_QUALIFIER tmat2x3<T, P> & tmat2x3<T, P>::operator++()
    329 	{
    330 		++this->value[0];
    331 		++this->value[1];
    332 		return *this;
    333 	}
    334 
    335 	template <typename T, precision P> 
    336 	GLM_FUNC_QUALIFIER tmat2x3<T, P> & tmat2x3<T, P>::operator--()
    337 	{
    338 		--this->value[0];
    339 		--this->value[1];
    340 		return *this;
    341 	}
    342 
    343 	template <typename T, precision P>
    344 	GLM_FUNC_QUALIFIER tmat2x3<T, P> tmat2x3<T, P>::operator++(int)
    345 	{
    346 		tmat2x3<T, P> Result(*this);
    347 		++*this;
    348 		return Result;
    349 	}
    350 
    351 	template <typename T, precision P>
    352 	GLM_FUNC_QUALIFIER tmat2x3<T, P> tmat2x3<T, P>::operator--(int)
    353 	{
    354 		tmat2x3<T, P> Result(*this);
    355 		--*this;
    356 		return Result;
    357 	}
    358 
    359 	//////////////////////////////////////////////////////////////
    360 	// Binary operators
    361 
    362 	template <typename T, precision P> 
    363 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator+ 
    364 	(
    365 		tmat2x3<T, P> const & m, 
    366 		T const & s
    367 	)
    368 	{
    369 		return tmat2x3<T, P>(
    370 			m[0] + s,
    371 			m[1] + s);
    372 	}
    373 
    374 	template <typename T, precision P> 
    375 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator+ 
    376 	(
    377 		tmat2x3<T, P> const & m1, 
    378 		tmat2x3<T, P> const & m2
    379 	)
    380 	{
    381 		return tmat2x3<T, P>(
    382 			m1[0] + m2[0],
    383 			m1[1] + m2[1]);
    384 	}
    385 
    386 	template <typename T, precision P> 
    387 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator- 
    388 	(
    389 		tmat2x3<T, P> const & m, 
    390 		T const & s
    391 	)
    392 	{
    393 		return tmat2x3<T, P>(
    394 			m[0] - s,
    395 			m[1] - s);
    396 	}
    397 
    398 	template <typename T, precision P> 
    399 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator- 
    400 	(
    401 		tmat2x3<T, P> const & m1, 
    402 		tmat2x3<T, P> const & m2
    403 	)
    404 	{
    405 		return tmat2x3<T, P>(
    406 			m1[0] - m2[0],
    407 			m1[1] - m2[1]);
    408 	}
    409 
    410 	template <typename T, precision P> 
    411 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator* 
    412 	(
    413 		tmat2x3<T, P> const & m, 
    414 		T const & s
    415 	)
    416 	{
    417 		return tmat2x3<T, P>(
    418 			m[0] * s,
    419 			m[1] * s);
    420 	}
    421 
    422 	template <typename T, precision P>
    423 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator*
    424 	(
    425 		T const & s,
    426 		tmat2x3<T, P> const & m
    427 	)
    428 	{
    429 		return tmat2x3<T, P>(
    430 			m[0] * s,
    431 			m[1] * s);
    432 	}
    433 
    434 	template <typename T, precision P>
    435 	GLM_FUNC_QUALIFIER typename tmat2x3<T, P>::col_type operator*
    436 	(
    437 		tmat2x3<T, P> const & m,
    438 		typename tmat2x3<T, P>::row_type const & v)
    439 	{
    440 		return typename tmat2x3<T, P>::col_type(
    441 			m[0][0] * v.x + m[1][0] * v.y,
    442 			m[0][1] * v.x + m[1][1] * v.y,
    443 			m[0][2] * v.x + m[1][2] * v.y);
    444 	}
    445 
    446 	template <typename T, precision P>
    447 	GLM_FUNC_QUALIFIER typename tmat2x3<T, P>::row_type operator*
    448 	(
    449 		typename tmat2x3<T, P>::col_type const & v,
    450 		tmat2x3<T, P> const & m)
    451 	{
    452 		return typename tmat2x3<T, P>::row_type(
    453 			v.x * m[0][0] + v.y * m[0][1] + v.z * m[0][2],
    454 			v.x * m[1][0] + v.y * m[1][1] + v.z * m[1][2]);
    455 	}
    456 
    457 	template <typename T, precision P>
    458 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator*
    459 	(
    460 		tmat2x3<T, P> const & m1,
    461 		tmat2x2<T, P> const & m2
    462 	)
    463 	{
    464 		return tmat2x3<T, P>(
    465 			m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
    466 			m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
    467 			m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1],
    468 			m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
    469 			m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1],
    470 			m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1]);
    471 	}
    472 
    473 	template <typename T, precision P>
    474 	GLM_FUNC_QUALIFIER tmat3x3<T, P> operator*
    475 	(
    476 		tmat2x3<T, P> const & m1,
    477 		tmat3x2<T, P> const & m2
    478 	)
    479 	{
    480 		T SrcA00 = m1[0][0];
    481 		T SrcA01 = m1[0][1];
    482 		T SrcA02 = m1[0][2];
    483 		T SrcA10 = m1[1][0];
    484 		T SrcA11 = m1[1][1];
    485 		T SrcA12 = m1[1][2];
    486 
    487 		T SrcB00 = m2[0][0];
    488 		T SrcB01 = m2[0][1];
    489 		T SrcB10 = m2[1][0];
    490 		T SrcB11 = m2[1][1];
    491 		T SrcB20 = m2[2][0];
    492 		T SrcB21 = m2[2][1];
    493 
    494 		tmat3x3<T, P> Result(tmat3x3<T, P>::_null);
    495 		Result[0][0] = SrcA00 * SrcB00 + SrcA10 * SrcB01;
    496 		Result[0][1] = SrcA01 * SrcB00 + SrcA11 * SrcB01;
    497 		Result[0][2] = SrcA02 * SrcB00 + SrcA12 * SrcB01;
    498 		Result[1][0] = SrcA00 * SrcB10 + SrcA10 * SrcB11;
    499 		Result[1][1] = SrcA01 * SrcB10 + SrcA11 * SrcB11;
    500 		Result[1][2] = SrcA02 * SrcB10 + SrcA12 * SrcB11;
    501 		Result[2][0] = SrcA00 * SrcB20 + SrcA10 * SrcB21;
    502 		Result[2][1] = SrcA01 * SrcB20 + SrcA11 * SrcB21;
    503 		Result[2][2] = SrcA02 * SrcB20 + SrcA12 * SrcB21;
    504 		return Result;
    505 	}
    506 
    507 	template <typename T, precision P>
    508 	GLM_FUNC_QUALIFIER tmat4x3<T, P> operator*
    509 	(
    510 		tmat2x3<T, P> const & m1,
    511 		tmat4x2<T, P> const & m2
    512 	)
    513 	{
    514 		return tmat4x3<T, P>(
    515 			m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1],
    516 			m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1],
    517 			m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1],
    518 			m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1],
    519 			m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1],
    520 			m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1],
    521 			m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1],
    522 			m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1],
    523 			m1[0][2] * m2[2][0] + m1[1][2] * m2[2][1],
    524 			m1[0][0] * m2[3][0] + m1[1][0] * m2[3][1],
    525 			m1[0][1] * m2[3][0] + m1[1][1] * m2[3][1],
    526 			m1[0][2] * m2[3][0] + m1[1][2] * m2[3][1]);
    527 	}
    528 
    529 	template <typename T, precision P>
    530 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator/
    531 	(
    532 		tmat2x3<T, P> const & m,
    533 		T const & s
    534 	)
    535 	{
    536 		return tmat2x3<T, P>(
    537 			m[0] / s,
    538 			m[1] / s);
    539 	}
    540 
    541 	template <typename T, precision P>
    542 	GLM_FUNC_QUALIFIER tmat2x3<T, P> operator/
    543 	(
    544 		T const & s,
    545 		tmat2x3<T, P> const & m
    546 	)
    547 	{
    548 		return tmat2x3<T, P>(
    549 			s / m[0],
    550 			s / m[1]);
    551 	}
    552 
    553 	// Unary constant operators
    554 	template <typename T, precision P>
    555 	GLM_FUNC_QUALIFIER tmat2x3<T, P> const operator-
    556 	(
    557 		tmat2x3<T, P> const & m
    558 	)
    559 	{
    560 		return tmat2x3<T, P>(
    561 			-m[0],
    562 			-m[1]);
    563 	}
    564 
    565 	//////////////////////////////////////
    566 	// Boolean operators
    567 
    568 	template <typename T, precision P>
    569 	GLM_FUNC_QUALIFIER bool operator==
    570 	(
    571 		tmat2x3<T, P> const & m1,
    572 		tmat2x3<T, P> const & m2
    573 	)
    574 	{
    575 		return (m1[0] == m2[0]) && (m1[1] == m2[1]);
    576 	}
    577 
    578 	template <typename T, precision P>
    579 	GLM_FUNC_QUALIFIER bool operator!=
    580 	(
    581 		tmat2x3<T, P> const & m1,
    582 		tmat2x3<T, P> const & m2
    583 	)
    584 	{
    585 		return (m1[0] != m2[0]) || (m1[1] != m2[1]);
    586 	}
    587 } //namespace detail
    588 } //namespace glm
    589