Lines Matching refs:m1
23 ArrayType m1 = ArrayType::Random(rows, cols),
26 ArrayType m4 = m1; // copy constructor
27 VERIFY_IS_APPROX(m1, m4);
36 VERIFY_IS_APPROX(m1 + s1, s1 + m1);
37 VERIFY_IS_APPROX(m1 + s1, ArrayType::Constant(rows,cols,s1) + m1);
38 VERIFY_IS_APPROX(s1 - m1, (-m1)+s1 );
39 VERIFY_IS_APPROX(m1 - s1, m1 - ArrayType::Constant(rows,cols,s1));
40 VERIFY_IS_APPROX(s1 - m1, ArrayType::Constant(rows,cols,s1) - m1);
41 VERIFY_IS_APPROX((m1*Scalar(2)) - s2, (m1+m1) - ArrayType::Constant(rows,cols,s2) );
42 m3 = m1;
44 VERIFY_IS_APPROX(m3, m1 + s2);
45 m3 = m1;
47 VERIFY_IS_APPROX(m3, m1 - s1);
50 m3 = m1;
51 ArrayType::Map(m1.data(), m1.rows(), m1.cols()) -= ArrayType::Map(m2.data(), m2.rows(), m2.cols());
52 VERIFY_IS_APPROX(m1, m3 - m2);
54 m3 = m1;
55 ArrayType::Map(m1.data(), m1.rows(), m1.cols()) += ArrayType::Map(m2.data(), m2.rows(), m2.cols());
56 VERIFY_IS_APPROX(m1, m3 + m2);
58 m3 = m1;
59 ArrayType::Map(m1.data(), m1.rows(), m1.cols()) *= ArrayType::Map(m2.data(), m2.rows(), m2.cols());
60 VERIFY_IS_APPROX(m1, m3 * m2);
62 m3 = m1;
65 ArrayType::Map(m1.data(), m1.rows(), m1.cols()) /= ArrayType::Map(m2.data(), m2.rows(), m2.cols());
66 VERIFY_IS_APPROX(m1, m3 / m2);
69 VERIFY_IS_APPROX(m1.abs().colwise().sum().sum(), m1.abs().sum());
70 VERIFY_IS_APPROX(m1.abs().rowwise().sum().sum(), m1.abs().sum());
72 VERIFY_IS_MUCH_SMALLER_THAN(abs(m1.colwise().sum().sum() - m1.sum()), m1.abs().sum());
73 VERIFY_IS_MUCH_SMALLER_THAN(abs(m1.rowwise().sum().sum() - m1.sum()), m1.abs().sum());
74 if (!internal::isMuchSmallerThan(abs(m1.sum() - (m1+m2).sum()), m1.abs().sum(), test_precision<Scalar>()))
75 VERIFY_IS_NOT_APPROX(((m1+m2).rowwise().sum()).sum(), m1.sum());
76 VERIFY_IS_APPROX(m1.colwise().sum(), m1.colwise().redux(internal::scalar_sum_op<Scalar,Scalar>()));
79 m3 = m1;
80 VERIFY_IS_APPROX(m3.colwise() += cv1, m1.colwise() + cv1);
81 m3 = m1;
82 VERIFY_IS_APPROX(m3.colwise() -= cv1, m1.colwise() - cv1);
83 m3 = m1;
84 VERIFY_IS_APPROX(m3.rowwise() += rv1, m1.rowwise() + rv1);
85 m3 = m1;
86 VERIFY_IS_APPROX(m3.rowwise() -= rv1, m1.rowwise() - rv1);
107 VERIFY_IS_APPROX(m1.pow(2), m1.square());
108 VERIFY_IS_APPROX(pow(m1,2), m1.square());
109 VERIFY_IS_APPROX(m1.pow(3), m1.cube());
110 VERIFY_IS_APPROX(pow(m1,3), m1.cube());
111 VERIFY_IS_APPROX((-m1).pow(3), -m1.cube());
112 VERIFY_IS_APPROX(pow(2*m1,3), 8*m1.cube());
114 VERIFY_IS_APPROX(Eigen::pow(m1,exponents), m1.square());
115 VERIFY_IS_APPROX(m1.pow(exponents), m1.square());
116 VERIFY_IS_APPROX(Eigen::pow(2*m1,exponents), 4*m1.square());
117 VERIFY_IS_APPROX((2*m1).pow(exponents), 4*m1.square());
118 VERIFY_IS_APPROX(Eigen::pow(m1,2*exponents), m1.square().square());
119 VERIFY_IS_APPROX(m1.pow(2*exponents), m1.square().square());
120 VERIFY_IS_APPROX(Eigen::pow(m1(0,0), exponents), ArrayType::Constant(rows,cols,m1(0,0)*m1(0,0)));
143 ArrayType m1 = ArrayType::Random(rows, cols),
146 m4 = m1;
150 VERIFY(((m1 + Scalar(1)) > m1).all());
151 VERIFY(((m1 - Scalar(1)) < m1).all());
154 m3 = m1;
156 VERIFY(! (m1 < m3).all() );
157 VERIFY(! (m1 > m3).all() );
159 VERIFY(!(m1 > m2 && m1 < m2).any());
160 VERIFY((m1 <= m2 || m1 >= m2).all());
163 VERIFY( (m1 != (m1(r,c)+1) ).any() );
164 VERIFY( (m1 > (m1(r,c)-1) ).any() );
165 VERIFY( (m1 < (m1(r,c)+1) ).any() );
166 VERIFY( (m1 == m1(r,c) ).any() );
169 VERIFY( ( (m1(r,c)+1) != m1).any() );
170 VERIFY( ( (m1(r,c)-1) < m1).any() );
171 VERIFY( ( (m1(r,c)+1) > m1).any() );
172 VERIFY( ( m1(r,c) == m1).any() );
175 VERIFY_IS_APPROX( (m1<m2).select(m1,m2), m1.cwiseMin(m2) );
176 VERIFY_IS_APPROX( (m1>m2).select(m1,m2), m1.cwiseMax(m2) );
177 Scalar mid = (m1.cwiseAbs().minCoeff() + m1.cwiseAbs().maxCoeff())/Scalar(2);
180 m3(i,j) = abs(m1(i,j))<mid ? 0 : m1(i,j);
181 VERIFY_IS_APPROX( (m1.abs()<ArrayType::Constant(rows,cols,mid))
182 .select(ArrayType::Zero(rows,cols),m1), m3);
184 VERIFY_IS_APPROX( (m1.abs()<ArrayType::Constant(rows,cols,mid))
185 .select(0,m1), m3);
186 VERIFY_IS_APPROX( (m1.abs()>=ArrayType::Constant(rows,cols,mid))
187 .select(m1,0), m3);
189 VERIFY_IS_APPROX( (m1.abs()<mid).select(0,m1), m3);
192 VERIFY(((m1.abs()+1)>RealScalar(0.1)).count() == rows*cols);
195 VERIFY( (m1<RealScalar(0) && m1>RealScalar(0)).count() == 0);
196 VERIFY( (m1<RealScalar(0) || m1>=RealScalar(0)).count() == rows*cols);
197 RealScalar a = m1.abs().mean();
198 VERIFY( (m1<-a || m1>a).count() == (m1.abs()>a).count());
203 VERIFY_IS_APPROX(((m1.abs()+1)>RealScalar(0.1)).colwise().count(), ArrayOfIndices::Constant(cols,rows).transpose());
204 VERIFY_IS_APPROX(((m1.abs()+1)>RealScalar(0.1)).rowwise().count(), ArrayOfIndices::Constant(rows, cols));
218 ArrayType m1 = ArrayType::Random(rows, cols),
221 m4 = m1;
228 VERIFY_IS_APPROX(m1.sin(), sin(m1));
229 VERIFY_IS_APPROX(m1.cos(), cos(m1));
230 VERIFY_IS_APPROX(m1.tan(), tan(m1));
231 VERIFY_IS_APPROX(m1.asin(), asin(m1));
232 VERIFY_IS_APPROX(m1.acos(), acos(m1));
233 VERIFY_IS_APPROX(m1.atan(), atan(m1));
234 VERIFY_IS_APPROX(m1.sinh(), sinh(m1));
235 VERIFY_IS_APPROX(m1.cosh(), cosh(m1));
236 VERIFY_IS_APPROX(m1.tanh(), tanh(m1));
238 VERIFY_IS_APPROX(m1.arg(), arg(m1));
239 VERIFY_IS_APPROX(m1.round(), round(m1));
240 VERIFY_IS_APPROX(m1.floor(), floor(m1));
241 VERIFY_IS_APPROX(m1.ceil(), ceil(m1));
242 VERIFY((m1.isNaN() == (Eigen::isnan)(m1)).all());
243 VERIFY((m1.isInf() == (Eigen::isinf)(m1)).all());
244 VERIFY((m1.isFinite() == (Eigen::isfinite)(m1)).all());
245 VERIFY_IS_APPROX(m1.inverse(), inverse(m1));
246 VERIFY_IS_APPROX(m1.abs(), abs(m1));
247 VERIFY_IS_APPROX(m1.abs2(), abs2(m1));
248 VERIFY_IS_APPROX(m1.square(), square(m1));
249 VERIFY_IS_APPROX(m1.cube(), cube(m1));
250 VERIFY_IS_APPROX(cos(m1+RealScalar(3)*m2), cos((m1+RealScalar(3)*m2).eval()));
251 VERIFY_IS_APPROX(m1.sign(), sign(m1));
255 m3 = m1.abs();
256 VERIFY_IS_APPROX(m3.sqrt(), sqrt(abs(m1)));
257 VERIFY_IS_APPROX(m3.rsqrt(), Scalar(1)/sqrt(abs(m1)));
258 VERIFY_IS_APPROX(rsqrt(m3), Scalar(1)/sqrt(abs(m1)));
264 VERIFY((!(m1>m2) == (m1<=m2)).all());
266 VERIFY_IS_APPROX(sin(m1.asin()), m1);
267 VERIFY_IS_APPROX(cos(m1.acos()), m1);
268 VERIFY_IS_APPROX(tan(m1.atan()), m1);
269 VERIFY_IS_APPROX(sinh(m1), 0.5*(exp(m1)-exp(-m1)));
270 VERIFY_IS_APPROX(cosh(m1), 0.5*(exp(m1)+exp(-m1)));
271 VERIFY_IS_APPROX(tanh(m1), (0.5*(exp(m1)-exp(-m1)))/(0.5*(exp(m1)+exp(-m1))));
272 VERIFY_IS_APPROX(arg(m1), ((m1<0).template cast<Scalar>())*std::acos(-1.0));
273 VERIFY((round(m1) <= ceil(m1) && round(m1) >= floor(m1)).all());
274 VERIFY((Eigen::isnan)((m1*0.0)/0.0).all());
276 VERIFY(((Eigen::isfinite)(m1) && (!(Eigen::isfinite)(m1*0.0/0.0)) && (!(Eigen::isfinite)(m4/0.0))).all());
277 VERIFY_IS_APPROX(inverse(inverse(m1)),m1);
278 VERIFY((abs(m1) == m1 || abs(m1) == -m1).all());
279 VERIFY_IS_APPROX(m3, sqrt(abs2(m1)));
280 VERIFY_IS_APPROX( m1.sign(), -(-m1).sign() );
281 VERIFY_IS_APPROX( m1*m1.sign(),m1.abs());
282 VERIFY_IS_APPROX(m1.sign() * m1.abs(), m1);
284 VERIFY_IS_APPROX(numext::abs2(numext::real(m1)) + numext::abs2(numext::imag(m1)), numext::abs2(m1));
285 VERIFY_IS_APPROX(numext::abs2(real(m1)) + numext::abs2(imag(m1)), numext::abs2(m1));
287 VERIFY_IS_APPROX(numext::real(m1), m1);
291 VERIFY_IS_APPROX((m3 + smallNumber).log() , log(abs(m1) + smallNumber));
292 VERIFY_IS_APPROX((m3 + smallNumber + 1).log() , log1p(abs(m1) + smallNumber));
294 VERIFY_IS_APPROX(m1.exp() * m2.exp(), exp(m1+m2));
295 VERIFY_IS_APPROX(m1.exp(), exp(m1));
296 VERIFY_IS_APPROX(m1.exp() / m2.exp(),(m1-m2).exp());
309 m1 += ArrayType::Constant(rows,cols,Scalar(tiny));
310 VERIFY_IS_APPROX(s1/m1, s1 * m1.inverse());
313 m3 = m1;
315 VERIFY_IS_APPROX(m3, m1.transpose());
317 VERIFY_IS_APPROX(m3, m1);
329 ArrayType m1 = ArrayType::Random(rows, cols),
331 m4 = m1;
340 m2(i,j) = sqrt(m1(i,j));
343 VERIFY_IS_APPROX(m1.sin(), sin(m1));
344 VERIFY_IS_APPROX(m1.cos(), cos(m1));
345 VERIFY_IS_APPROX(m1.tan(), tan(m1));
346 VERIFY_IS_APPROX(m1.sinh(), sinh(m1));
347 VERIFY_IS_APPROX(m1.cosh(), cosh(m1));
348 VERIFY_IS_APPROX(m1.tanh(), tanh(m1));
349 VERIFY_IS_APPROX(m1.arg(), arg(m1));
350 VERIFY((m1.isNaN() == (Eigen::isnan)(m1)).all());
351 VERIFY((m1.isInf() == (Eigen::isinf)(m1)).all());
352 VERIFY((m1.isFinite() == (Eigen::isfinite)(m1)).all());
353 VERIFY_IS_APPROX(m1.inverse(), inverse(m1));
354 VERIFY_IS_APPROX(m1.log(), log(m1));
355 VERIFY_IS_APPROX(m1.log10(), log10(m1));
356 VERIFY_IS_APPROX(m1.abs(), abs(m1));
357 VERIFY_IS_APPROX(m1.abs2(), abs2(m1));
358 VERIFY_IS_APPROX(m1.sqrt(), sqrt(m1));
359 VERIFY_IS_APPROX(m1.square(), square(m1));
360 VERIFY_IS_APPROX(m1.cube(), cube(m1));
361 VERIFY_IS_APPROX(cos(m1+RealScalar(3)*m2), cos((m1+RealScalar(3)*m2).eval()));
362 VERIFY_IS_APPROX(m1.sign(), sign(m1));
365 VERIFY_IS_APPROX(m1.exp() * m2.exp(), exp(m1+m2));
366 VERIFY_IS_APPROX(m1.exp(), exp(m1));
367 VERIFY_IS_APPROX(m1.exp() / m2.exp(),(m1-m2).exp());
369 VERIFY_IS_APPROX(sinh(m1), 0.5*(exp(m1)-exp(-m1)));
370 VERIFY_IS_APPROX(cosh(m1), 0.5*(exp(m1)+exp(-m1)));
371 VERIFY_IS_APPROX(tanh(m1), (0.5*(exp(m1)-exp(-m1)))/(0.5*(exp(m1)+exp(-m1))));
375 m3(i,j) = std::atan2(imag(m1(i,j)), real(m1(i,j)));
376 VERIFY_IS_APPROX(arg(m1), m3);
379 VERIFY((Eigen::isnan)(m1*zero/zero).all());
398 VERIFY(((Eigen::isfinite)(m1) && (!(Eigen::isfinite)(m1*zero/zero)) && (!(Eigen::isfinite)(m1/zero))).all());
400 VERIFY_IS_APPROX(inverse(inverse(m1)),m1);
401 VERIFY_IS_APPROX(conj(m1.conjugate()), m1);
402 VERIFY_IS_APPROX(abs(m1), sqrt(square(real(m1))+square(imag(m1))));
403 VERIFY_IS_APPROX(abs(m1), sqrt(abs2(m1)));
404 VERIFY_IS_APPROX(log10(m1), log(m1)/log(10));
406 VERIFY_IS_APPROX( m1.sign(), -(-m1).sign() );
407 VERIFY_IS_APPROX( m1.sign() * m1.abs(), m1);
413 m1 += ArrayType::Constant(rows,cols,Scalar(tiny));
414 VERIFY_IS_APPROX(s1/m1, s1 * m1.inverse());
417 m2 = m1;
419 VERIFY_IS_APPROX(m2, m1.transpose());
421 VERIFY_IS_APPROX(m2, m1);
433 ArrayType m1 = ArrayType::Random(rows, cols);
436 Scalar maxM1 = m1.maxCoeff();
437 Scalar minM1 = m1.minCoeff();
439 VERIFY_IS_APPROX(ArrayType::Constant(rows,cols, minM1), (m1.min)(ArrayType::Constant(rows,cols, minM1)));
440 VERIFY_IS_APPROX(m1, (m1.min)(ArrayType::Constant(rows,cols, maxM1)));
442 m1.max)(ArrayType::Constant(rows,cols, maxM1)));
443 VERIFY_IS_APPROX(m1, (m1.max)(ArrayType::Constant(rows,cols, minM1)));
446 VERIFY_IS_APPROX(ArrayType::Constant(rows,cols, minM1), (m1.min)( minM1));
447 VERIFY_IS_APPROX(m1, (m1.min)( maxM1));
449 VERIFY_IS_APPROX(ArrayType::Constant(rows,cols, maxM1), (m1.max)( maxM1));
450 VERIFY_IS_APPROX(m1, (m1.max)( minM1));
