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author | Yi Kong <yikong@google.com> | 2022-02-25 16:41:05 +0000 |
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committer | Automerger Merge Worker <android-build-automerger-merge-worker@system.gserviceaccount.com> | 2022-02-25 16:41:05 +0000 |
commit | bc0f5df265caa21a2120c22453655a7fcc941991 (patch) | |
tree | fb979fb4cf4f8052c8cc66b1ec9516d91fcd859b /unsupported/Eigen/src/Polynomials/Companion.h | |
parent | 8fd413e275f78a4c240f1442ce5cf77c73a20a55 (diff) | |
parent | 7cb50013986f04dce5fac87bebf319bb8db37a36 (diff) | |
download | eigen-4af9b4d40a11c046f8f762da00edd6f02efb18f2.tar.gz |
Merge changes Iee153445,Iee274471 am: 79df15ea88 am: 10f298fc41 am: 7cb5001398t_frc_odp_330442040t_frc_odp_330442000t_frc_ase_330444010android-wear-13.0.0-gpl_r3android-wear-13.0.0-gpl_r2android-wear-13.0.0-gpl_r1android-vts-13.0_r8android-vts-13.0_r7android-vts-13.0_r6android-vts-13.0_r5android-vts-13.0_r4android-vts-13.0_r3android-vts-13.0_r2android-t-qpr3-beta-3-gplandroid-t-qpr3-beta-1-gplandroid-t-qpr2-beta-3-gplandroid-t-qpr2-beta-2-gplandroid-t-qpr1-beta-3-gplandroid-t-qpr1-beta-1-gplandroid-cts-13.0_r8android-cts-13.0_r7android-cts-13.0_r6android-cts-13.0_r5android-cts-13.0_r4android-cts-13.0_r3android-cts-13.0_r2android-13.0.0_r83android-13.0.0_r82android-13.0.0_r81android-13.0.0_r80android-13.0.0_r79android-13.0.0_r78android-13.0.0_r77android-13.0.0_r76android-13.0.0_r75android-13.0.0_r74android-13.0.0_r73android-13.0.0_r72android-13.0.0_r71android-13.0.0_r70android-13.0.0_r69android-13.0.0_r68android-13.0.0_r67android-13.0.0_r66android-13.0.0_r65android-13.0.0_r64android-13.0.0_r63android-13.0.0_r62android-13.0.0_r61android-13.0.0_r60android-13.0.0_r59android-13.0.0_r58android-13.0.0_r57android-13.0.0_r56android-13.0.0_r55android-13.0.0_r54android-13.0.0_r53android-13.0.0_r52android-13.0.0_r51android-13.0.0_r50android-13.0.0_r49android-13.0.0_r48android-13.0.0_r47android-13.0.0_r46android-13.0.0_r45android-13.0.0_r44android-13.0.0_r43android-13.0.0_r42android-13.0.0_r41android-13.0.0_r40android-13.0.0_r39android-13.0.0_r38android-13.0.0_r37android-13.0.0_r36android-13.0.0_r35android-13.0.0_r34android-13.0.0_r33android-13.0.0_r32android-13.0.0_r30android-13.0.0_r29android-13.0.0_r28android-13.0.0_r27android-13.0.0_r24android-13.0.0_r23android-13.0.0_r22android-13.0.0_r21android-13.0.0_r20android-13.0.0_r19android-13.0.0_r18android-13.0.0_r17android-13.0.0_r16aml_go_odp_330912000aml_go_ads_330915100aml_go_ads_330915000aml_go_ads_330913000android13-tests-releaseandroid13-tests-devandroid13-qpr3-s9-releaseandroid13-qpr3-s8-releaseandroid13-qpr3-s7-releaseandroid13-qpr3-s6-releaseandroid13-qpr3-s5-releaseandroid13-qpr3-s4-releaseandroid13-qpr3-s3-releaseandroid13-qpr3-s2-releaseandroid13-qpr3-s14-releaseandroid13-qpr3-s13-releaseandroid13-qpr3-s12-releaseandroid13-qpr3-s11-releaseandroid13-qpr3-s10-releaseandroid13-qpr3-s1-releaseandroid13-qpr3-releaseandroid13-qpr3-c-s8-releaseandroid13-qpr3-c-s7-releaseandroid13-qpr3-c-s6-releaseandroid13-qpr3-c-s5-releaseandroid13-qpr3-c-s4-releaseandroid13-qpr3-c-s3-releaseandroid13-qpr3-c-s2-releaseandroid13-qpr3-c-s12-releaseandroid13-qpr3-c-s11-releaseandroid13-qpr3-c-s10-releaseandroid13-qpr3-c-s1-releaseandroid13-qpr2-s9-releaseandroid13-qpr2-s8-releaseandroid13-qpr2-s7-releaseandroid13-qpr2-s6-releaseandroid13-qpr2-s5-releaseandroid13-qpr2-s3-releaseandroid13-qpr2-s2-releaseandroid13-qpr2-s12-releaseandroid13-qpr2-s11-releaseandroid13-qpr2-s10-releaseandroid13-qpr2-s1-releaseandroid13-qpr2-releaseandroid13-qpr2-b-s1-releaseandroid13-qpr1-s8-releaseandroid13-qpr1-s7-releaseandroid13-qpr1-s6-releaseandroid13-qpr1-s5-releaseandroid13-qpr1-s4-releaseandroid13-qpr1-s3-releaseandroid13-qpr1-s2-releaseandroid13-qpr1-s1-releaseandroid13-qpr1-releaseandroid13-mainline-go-adservices-releaseandroid13-frc-odp-releaseandroid13-devandroid13-d4-s2-releaseandroid13-d4-s1-releaseandroid13-d4-releaseandroid13-d3-s1-releaseandroid13-d2-releaseandroid-wear-13.0.0-gpl_r1
Original change: https://android-review.googlesource.com/c/platform/external/eigen/+/1999079
Change-Id: I4c76dc5ddc7fb0ae9fc42436f28bd8bf9de50a97
Diffstat (limited to 'unsupported/Eigen/src/Polynomials/Companion.h')
-rw-r--r-- | unsupported/Eigen/src/Polynomials/Companion.h | 94 |
1 files changed, 49 insertions, 45 deletions
diff --git a/unsupported/Eigen/src/Polynomials/Companion.h b/unsupported/Eigen/src/Polynomials/Companion.h index b515c2920..59a15b098 100644 --- a/unsupported/Eigen/src/Polynomials/Companion.h +++ b/unsupported/Eigen/src/Polynomials/Companion.h @@ -20,12 +20,6 @@ namespace internal { #ifndef EIGEN_PARSED_BY_DOXYGEN -template <typename T> -T radix(){ return 2; } - -template <typename T> -T radix2(){ return radix<T>()*radix<T>(); } - template<int Size> struct decrement_if_fixed_size { @@ -75,8 +69,7 @@ class companion void setPolynomial( const VectorType& poly ) { const Index deg = poly.size()-1; - m_monic = -1/poly[deg] * poly.head(deg); - //m_bl_diag.setIdentity( deg-1 ); + m_monic = -poly.head(deg)/poly[deg]; m_bl_diag.setOnes(deg-1); } @@ -89,13 +82,13 @@ class companion { const Index deg = m_monic.size(); const Index deg_1 = deg-1; - DenseCompanionMatrixType companion(deg,deg); - companion << + DenseCompanionMatrixType companMat(deg,deg); + companMat << ( LeftBlock(deg,deg_1) << LeftBlockFirstRow::Zero(1,deg_1), BottomLeftBlock::Identity(deg-1,deg-1)*m_bl_diag.asDiagonal() ).finished() , m_monic; - return companion; + return companMat; } @@ -104,20 +97,20 @@ class companion /** Helper function for the balancing algorithm. * \returns true if the row and the column, having colNorm and rowNorm * as norms, are balanced, false otherwise. - * colB and rowB are repectively the multipliers for + * colB and rowB are respectively the multipliers for * the column and the row in order to balance them. * */ - bool balanced( Scalar colNorm, Scalar rowNorm, - bool& isBalanced, Scalar& colB, Scalar& rowB ); + bool balanced( RealScalar colNorm, RealScalar rowNorm, + bool& isBalanced, RealScalar& colB, RealScalar& rowB ); /** Helper function for the balancing algorithm. * \returns true if the row and the column, having colNorm and rowNorm * as norms, are balanced, false otherwise. - * colB and rowB are repectively the multipliers for + * colB and rowB are respectively the multipliers for * the column and the row in order to balance them. * */ - bool balancedR( Scalar colNorm, Scalar rowNorm, - bool& isBalanced, Scalar& colB, Scalar& rowB ); + bool balancedR( RealScalar colNorm, RealScalar rowNorm, + bool& isBalanced, RealScalar& colB, RealScalar& rowB ); public: /** @@ -139,10 +132,13 @@ class companion template< typename _Scalar, int _Deg > inline -bool companion<_Scalar,_Deg>::balanced( Scalar colNorm, Scalar rowNorm, - bool& isBalanced, Scalar& colB, Scalar& rowB ) +bool companion<_Scalar,_Deg>::balanced( RealScalar colNorm, RealScalar rowNorm, + bool& isBalanced, RealScalar& colB, RealScalar& rowB ) { - if( Scalar(0) == colNorm || Scalar(0) == rowNorm ){ return true; } + if( RealScalar(0) == colNorm || RealScalar(0) == rowNorm + || !(numext::isfinite)(colNorm) || !(numext::isfinite)(rowNorm)){ + return true; + } else { //To find the balancing coefficients, if the radix is 2, @@ -150,53 +146,61 @@ bool companion<_Scalar,_Deg>::balanced( Scalar colNorm, Scalar rowNorm, // \f$ 2^{2\sigma-1} < rowNorm / colNorm \le 2^{2\sigma+1} \f$ // then the balancing coefficient for the row is \f$ 1/2^{\sigma} \f$ // and the balancing coefficient for the column is \f$ 2^{\sigma} \f$ - rowB = rowNorm / radix<Scalar>(); - colB = Scalar(1); - const Scalar s = colNorm + rowNorm; - - while (colNorm < rowB) + const RealScalar radix = RealScalar(2); + const RealScalar radix2 = RealScalar(4); + + rowB = rowNorm / radix; + colB = RealScalar(1); + const RealScalar s = colNorm + rowNorm; + + // Find sigma s.t. rowNorm / 2 <= 2^(2*sigma) * colNorm + RealScalar scout = colNorm; + while (scout < rowB) { - colB *= radix<Scalar>(); - colNorm *= radix2<Scalar>(); + colB *= radix; + scout *= radix2; } - - rowB = rowNorm * radix<Scalar>(); - - while (colNorm >= rowB) + + // We now have an upper-bound for sigma, try to lower it. + // Find sigma s.t. 2^(2*sigma) * colNorm / 2 < rowNorm + scout = colNorm * (colB / radix) * colB; // Avoid overflow. + while (scout >= rowNorm) { - colB /= radix<Scalar>(); - colNorm /= radix2<Scalar>(); + colB /= radix; + scout /= radix2; } - //This line is used to avoid insubstantial balancing - if ((rowNorm + colNorm) < Scalar(0.95) * s * colB) + // This line is used to avoid insubstantial balancing. + if ((rowNorm + radix * scout) < RealScalar(0.95) * s * colB) { isBalanced = false; - rowB = Scalar(1) / colB; + rowB = RealScalar(1) / colB; return false; } - else{ - return true; } + else + { + return true; + } } } template< typename _Scalar, int _Deg > inline -bool companion<_Scalar,_Deg>::balancedR( Scalar colNorm, Scalar rowNorm, - bool& isBalanced, Scalar& colB, Scalar& rowB ) +bool companion<_Scalar,_Deg>::balancedR( RealScalar colNorm, RealScalar rowNorm, + bool& isBalanced, RealScalar& colB, RealScalar& rowB ) { - if( Scalar(0) == colNorm || Scalar(0) == rowNorm ){ return true; } + if( RealScalar(0) == colNorm || RealScalar(0) == rowNorm ){ return true; } else { /** * Set the norm of the column and the row to the geometric mean * of the row and column norm */ - const _Scalar q = colNorm/rowNorm; + const RealScalar q = colNorm/rowNorm; if( !isApprox( q, _Scalar(1) ) ) { rowB = sqrt( colNorm/rowNorm ); - colB = Scalar(1)/rowB; + colB = RealScalar(1)/rowB; isBalanced = false; return false; @@ -219,8 +223,8 @@ void companion<_Scalar,_Deg>::balance() while( !hasConverged ) { hasConverged = true; - Scalar colNorm,rowNorm; - Scalar colB,rowB; + RealScalar colNorm,rowNorm; + RealScalar colB,rowB; //First row, first column excluding the diagonal //============================================== |