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Merged eigen/eigen into default
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@@ -53,7 +53,7 @@ cholmod_sparse viewAsCholmod(SparseMatrix<_Scalar,_Options,_StorageIndex>& mat)
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{
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cholmod_sparse res;
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res.nzmax = mat.nonZeros();
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res.nrow = mat.rows();;
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res.nrow = mat.rows();
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res.ncol = mat.cols();
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res.p = mat.outerIndexPtr();
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res.i = mat.innerIndexPtr();
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@@ -355,30 +355,27 @@ pexp<Packet4d>(const Packet4d& _x) {
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// Functions for sqrt.
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// The EIGEN_FAST_MATH version uses the _mm_rsqrt_ps approximation and one step
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// of Newton's method, at a cost of 1-2 bits of precision as opposed to the
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// exact solution. The main advantage of this approach is not just speed, but
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// also the fact that it can be inlined and pipelined with other computations,
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// further reducing its effective latency.
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// exact solution. It does not handle +inf, or denormalized numbers correctly.
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// The main advantage of this approach is not just speed, but also the fact that
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// it can be inlined and pipelined with other computations, further reducing its
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// effective latency. This is similar to Quake3's fast inverse square root.
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// For detail see here: http://www.beyond3d.com/content/articles/8/
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#if EIGEN_FAST_MATH
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template <>
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EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet8f
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psqrt<Packet8f>(const Packet8f& _x) {
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_EIGEN_DECLARE_CONST_Packet8f(one_point_five, 1.5f);
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_EIGEN_DECLARE_CONST_Packet8f(minus_half, -0.5f);
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_EIGEN_DECLARE_CONST_Packet8f_FROM_INT(flt_min, 0x00800000);
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Packet8f neg_half = pmul(_x, p8f_minus_half);
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// select only the inverse sqrt of positive normal inputs (denormals are
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// flushed to zero and cause infs as well).
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Packet8f non_zero_mask = _mm256_cmp_ps(_x, p8f_flt_min, _CMP_GE_OQ);
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Packet8f x = _mm256_and_ps(non_zero_mask, _mm256_rsqrt_ps(_x));
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Packet8f half = pmul(_x, pset1<Packet8f>(.5f));
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Packet8f denormal_mask = _mm256_and_ps(
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_mm256_cmp_ps(_x, pset1<Packet8f>((std::numeric_limits<float>::min)()),
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_CMP_LT_OQ),
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_mm256_cmp_ps(_x, _mm256_setzero_ps(), _CMP_GE_OQ));
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// Compute approximate reciprocal sqrt.
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Packet8f x = _mm256_rsqrt_ps(_x);
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// Do a single step of Newton's iteration.
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x = pmul(x, pmadd(neg_half, pmul(x, x), p8f_one_point_five));
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// Multiply the original _x by it's reciprocal square root to extract the
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// square root.
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return pmul(_x, x);
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x = pmul(x, psub(pset1<Packet8f>(1.5f), pmul(half, pmul(x,x))));
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// Flush results for denormals to zero.
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return _mm256_andnot_ps(denormal_mask, pmul(_x,x));
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}
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#else
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template <> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
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@@ -16,8 +16,14 @@ namespace Eigen {
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namespace internal {
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inline uint32x4_t p4ui_CONJ_XOR() {
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// See bug 1325, clang fails to call vld1q_u64.
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#if EIGEN_COMP_CLANG
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uint32x4_t ret = { 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
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return ret;
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#else
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static const uint32_t conj_XOR_DATA[] = { 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
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return vld1q_u32( conj_XOR_DATA );
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#endif
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}
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inline uint32x2_t p2ui_CONJ_XOR() {
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@@ -282,8 +288,13 @@ ptranspose(PacketBlock<Packet2cf,2>& kernel) {
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//---------- double ----------
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#if EIGEN_ARCH_ARM64 && !EIGEN_APPLE_DOUBLE_NEON_BUG
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const uint64_t p2ul_conj_XOR_DATA[] = { 0x0, 0x8000000000000000 };
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static uint64x2_t p2ul_CONJ_XOR = vld1q_u64( p2ul_conj_XOR_DATA );
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// See bug 1325, clang fails to call vld1q_u64.
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#if EIGEN_COMP_CLANG
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static uint64x2_t p2ul_CONJ_XOR = {0x0, 0x8000000000000000};
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#else
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const uint64_t p2ul_conj_XOR_DATA[] = { 0x0, 0x8000000000000000 };
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static uint64x2_t p2ul_CONJ_XOR = vld1q_u64( p2ul_conj_XOR_DATA );
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#endif
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struct Packet1cd
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{
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@@ -32,7 +32,7 @@ Packet4f plog<Packet4f>(const Packet4f& _x)
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/* the smallest non denormalized float number */
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_EIGEN_DECLARE_CONST_Packet4f_FROM_INT(min_norm_pos, 0x00800000);
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_EIGEN_DECLARE_CONST_Packet4f_FROM_INT(minus_inf, 0xff800000);//-1.f/0.f);
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/* natural logarithm computed for 4 simultaneous float
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return NaN for x <= 0
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*/
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@@ -444,25 +444,33 @@ Packet4f pcos<Packet4f>(const Packet4f& _x)
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#if EIGEN_FAST_MATH
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// This is based on Quake3's fast inverse square root.
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// Functions for sqrt.
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// The EIGEN_FAST_MATH version uses the _mm_rsqrt_ps approximation and one step
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// of Newton's method, at a cost of 1-2 bits of precision as opposed to the
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// exact solution. It does not handle +inf, or denormalized numbers correctly.
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// The main advantage of this approach is not just speed, but also the fact that
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// it can be inlined and pipelined with other computations, further reducing its
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// effective latency. This is similar to Quake3's fast inverse square root.
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// For detail see here: http://www.beyond3d.com/content/articles/8/
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// It lacks 1 (or 2 bits in some rare cases) of precision, and does not handle negative, +inf, or denormalized numbers correctly.
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template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
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Packet4f psqrt<Packet4f>(const Packet4f& _x)
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{
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Packet4f half = pmul(_x, pset1<Packet4f>(.5f));
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Packet4f denormal_mask = _mm_and_ps(
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_mm_cmpge_ps(_x, _mm_setzero_ps()),
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_mm_cmplt_ps(_x, pset1<Packet4f>((std::numeric_limits<float>::min)())));
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/* select only the inverse sqrt of non-zero inputs */
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Packet4f non_zero_mask = _mm_cmpge_ps(_x, pset1<Packet4f>((std::numeric_limits<float>::min)()));
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Packet4f x = _mm_and_ps(non_zero_mask, _mm_rsqrt_ps(_x));
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// Compute approximate reciprocal sqrt.
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Packet4f x = _mm_rsqrt_ps(_x);
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// Do a single step of Newton's iteration.
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x = pmul(x, psub(pset1<Packet4f>(1.5f), pmul(half, pmul(x,x))));
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return pmul(_x,x);
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// Flush results for denormals to zero.
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return _mm_andnot_ps(denormal_mask, pmul(_x,x));
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}
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#else
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template<>EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
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template<>EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
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Packet4f psqrt<Packet4f>(const Packet4f& x) { return _mm_sqrt_ps(x); }
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#endif
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@@ -491,7 +499,7 @@ Packet4f prsqrt<Packet4f>(const Packet4f& _x) {
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Packet4f neg_mask = _mm_cmplt_ps(_x, _mm_setzero_ps());
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Packet4f zero_mask = _mm_andnot_ps(neg_mask, le_zero_mask);
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Packet4f infs_and_nans = _mm_or_ps(_mm_and_ps(neg_mask, p4f_nan),
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_mm_and_ps(zero_mask, p4f_inf));
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_mm_and_ps(zero_mask, p4f_inf));
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// Do a single step of Newton's iteration.
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x = pmul(x, pmadd(neg_half, pmul(x, x), p4f_one_point_five));
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@@ -392,8 +392,8 @@
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// Does the compiler support variadic templates?
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#ifndef EIGEN_HAS_VARIADIC_TEMPLATES
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#if EIGEN_MAX_CPP_VER>=11 && (__cplusplus > 199711L || EIGEN_COMP_MSVC >= 1900) \
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&& ( !defined(__NVCC__) || !EIGEN_ARCH_ARM_OR_ARM64 )
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// ^^ Disable the use of variadic templates when compiling with nvcc on ARM devices:
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&& ( !defined(__NVCC__) || !EIGEN_ARCH_ARM_OR_ARM64 || (defined __CUDACC_VER__ && __CUDACC_VER__ >= 80000) )
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// ^^ Disable the use of variadic templates when compiling with versions of nvcc older than 8.0 on ARM devices:
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// this prevents nvcc from crashing when compiling Eigen on Tegra X1
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#define EIGEN_HAS_VARIADIC_TEMPLATES 1
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#else
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12
Eigen/src/Geometry/Scaling.h
Normal file → Executable file
12
Eigen/src/Geometry/Scaling.h
Normal file → Executable file
@@ -118,28 +118,28 @@ operator*(const MatrixBase<Derived>& matrix, const UniformScaling<Scalar>& s)
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{ return matrix.derived() * s.factor(); }
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/** Constructs a uniform scaling from scale factor \a s */
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static inline UniformScaling<float> Scaling(float s) { return UniformScaling<float>(s); }
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inline UniformScaling<float> Scaling(float s) { return UniformScaling<float>(s); }
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/** Constructs a uniform scaling from scale factor \a s */
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static inline UniformScaling<double> Scaling(double s) { return UniformScaling<double>(s); }
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inline UniformScaling<double> Scaling(double s) { return UniformScaling<double>(s); }
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/** Constructs a uniform scaling from scale factor \a s */
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template<typename RealScalar>
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static inline UniformScaling<std::complex<RealScalar> > Scaling(const std::complex<RealScalar>& s)
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inline UniformScaling<std::complex<RealScalar> > Scaling(const std::complex<RealScalar>& s)
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{ return UniformScaling<std::complex<RealScalar> >(s); }
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/** Constructs a 2D axis aligned scaling */
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template<typename Scalar>
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static inline DiagonalMatrix<Scalar,2> Scaling(const Scalar& sx, const Scalar& sy)
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inline DiagonalMatrix<Scalar,2> Scaling(const Scalar& sx, const Scalar& sy)
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{ return DiagonalMatrix<Scalar,2>(sx, sy); }
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/** Constructs a 3D axis aligned scaling */
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template<typename Scalar>
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static inline DiagonalMatrix<Scalar,3> Scaling(const Scalar& sx, const Scalar& sy, const Scalar& sz)
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inline DiagonalMatrix<Scalar,3> Scaling(const Scalar& sx, const Scalar& sy, const Scalar& sz)
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{ return DiagonalMatrix<Scalar,3>(sx, sy, sz); }
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/** Constructs an axis aligned scaling expression from vector expression \a coeffs
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* This is an alias for coeffs.asDiagonal()
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*/
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template<typename Derived>
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static inline const DiagonalWrapper<const Derived> Scaling(const MatrixBase<Derived>& coeffs)
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inline const DiagonalWrapper<const Derived> Scaling(const MatrixBase<Derived>& coeffs)
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{ return coeffs.asDiagonal(); }
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/** \deprecated */
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@@ -119,16 +119,16 @@ class SPQR : public SparseSolverBase<SPQR<_MatrixType> >
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max2Norm = RealScalar(1);
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pivotThreshold = 20 * (mat.rows() + mat.cols()) * max2Norm * NumTraits<RealScalar>::epsilon();
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}
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cholmod_sparse A;
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A = viewAsCholmod(mat);
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m_rows = matrix.rows();
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Index col = matrix.cols();
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m_rank = SuiteSparseQR<Scalar>(m_ordering, pivotThreshold, col, &A,
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&m_cR, &m_E, &m_H, &m_HPinv, &m_HTau, &m_cc);
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if (!m_cR)
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{
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m_info = NumericalIssue;
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m_info = NumericalIssue;
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m_isInitialized = false;
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return;
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}
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@@ -139,7 +139,7 @@ class SPQR : public SparseSolverBase<SPQR<_MatrixType> >
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/**
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* Get the number of rows of the input matrix and the Q matrix
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*/
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inline Index rows() const {return m_cR->nrow; }
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inline Index rows() const {return m_rows; }
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/**
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* Get the number of columns of the input matrix.
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@@ -245,6 +245,7 @@ class SPQR : public SparseSolverBase<SPQR<_MatrixType> >
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mutable Index m_rank; // The rank of the matrix
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mutable cholmod_common m_cc; // Workspace and parameters
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bool m_useDefaultThreshold; // Use default threshold
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Index m_rows;
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template<typename ,typename > friend struct SPQR_QProduct;
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};
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