From fdf549b921a7ec8065db3c8056c4d96757adc43c Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Sun, 1 Nov 2015 11:08:01 -0500 Subject: [PATCH 01/16] fix bug #5599 --- modules/core/src/mathfuncs.cpp | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index ed7b61e6d..bca77cce3 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2469,7 +2469,7 @@ int cv::solveCubic( InputArray _coeffs, OutputArray _roots ) double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) { typedef Complex C; - + double maxDiff = 0; int iter, i, j; Mat coeffs0 = _coeffs0.getMat(); @@ -2494,8 +2494,8 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) for( i = 0; i <= n; i++ ) coeffs[i] = C(rcoeffs[i], 0); } - - C p(1, 0), r(1, 1); + + C p(1, 0), r(0.4, 0.9); for( i = 0; i < n; i++ ) { @@ -2514,7 +2514,7 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) for( j = 0; j < n; j++ ) { num = num*p + coeffs[n-j-1]; - if( j != i ) denom = denom * (p - roots[j]); + if( j != i ) denom = denom * (p - roots[j]); } num /= denom; roots[i] = p - num; @@ -2523,7 +2523,7 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) if( maxDiff <= 0 ) break; } - + if( coeffs0.channels() == 1 ) { const double verySmallEps = 1e-100; From 0bc44376a541160b62cb11605b371e12b1059d2e Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Sun, 1 Nov 2015 23:30:28 -0500 Subject: [PATCH 02/16] fix bug #5599 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit solves equations more correctly, eliminates “nan” error. --- modules/core/src/mathfuncs.cpp | 38 ++++++++++++++++++++++++++++++++-- 1 file changed, 36 insertions(+), 2 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index bca77cce3..aa37d1e7c 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2495,7 +2495,7 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) coeffs[i] = C(rcoeffs[i], 0); } - C p(1, 0), r(0.4, 0.9); + C p(1, 0), r(1, 1); for( i = 0; i < n; i++ ) { @@ -2511,12 +2511,46 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) { p = roots[i]; C num = coeffs[n], denom = coeffs[n]; + int num_same_root = 1; for( j = 0; j < n; j++ ) { num = num*p + coeffs[n-j-1]; - if( j != i ) denom = denom * (p - roots[j]); + if( j != i ) + { + if ( (p - roots[j]).re != 0 || (p - roots[j]).im != 0 ) + denom = denom * (p - roots[j]); + else + num_same_root++; + } } num /= denom; + if( num_same_root > 1) + { + for( j = 0; j < num_same_root / 2; j++) + { + double old_num_re = num.re; + double old_num_im = num.im; + + num.re = old_num_re*old_num_re + old_num_im*old_num_im; + Mat num_re_arr = (Mat_(1,1) << num.re); + cv::sqrt(num_re_arr, num_re_arr); + num.re = num_re_arr.at(0, 0); + num.re += old_num_re; + num.im = num.re - old_num_re; + num.re /= 2; + num_re_arr.at(0, 0) = num.re; + cv::sqrt(num_re_arr, num_re_arr); + num.re = num_re_arr.at(0, 0); + + Mat num_im_arr = (Mat_(1,1) << num.im); + num.im /= 2; + num_im_arr.at(0, 0) = num.re; + cv::sqrt(num_im_arr, num_im_arr); + num.im = num_im_arr.at(0, 0); + if( old_num_re < 0 ) num.im = -num.im; + } + } + roots[i] = p - num; maxDiff = max(maxDiff, abs(num)); } From 40ce9f97d674c8cef871998efd15299312ec1f26 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Mon, 2 Nov 2015 00:04:51 -0500 Subject: [PATCH 03/16] fix whitespace errors --- modules/core/src/mathfuncs.cpp | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index aa37d1e7c..3608d9767 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2517,8 +2517,8 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) num = num*p + coeffs[n-j-1]; if( j != i ) { - if ( (p - roots[j]).re != 0 || (p - roots[j]).im != 0 ) - denom = denom * (p - roots[j]); + if ( (p - roots[j]).re != 0 || (p - roots[j]).im != 0 ) + denom = denom * (p - roots[j]); else num_same_root++; } @@ -2550,14 +2550,14 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) if( old_num_re < 0 ) num.im = -num.im; } } - + roots[i] = p - num; maxDiff = max(maxDiff, abs(num)); } if( maxDiff <= 0 ) break; } - + if( coeffs0.channels() == 1 ) { const double verySmallEps = 1e-100; From e06c696b3cfb0d4e351183bd4e305f24e1ae79f3 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Mon, 2 Nov 2015 00:20:13 -0500 Subject: [PATCH 04/16] fix whitespace errors --- modules/core/src/mathfuncs.cpp | 2 -- 1 file changed, 2 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index 3608d9767..9dda156e4 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2469,7 +2469,6 @@ int cv::solveCubic( InputArray _coeffs, OutputArray _roots ) double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) { typedef Complex C; - double maxDiff = 0; int iter, i, j; Mat coeffs0 = _coeffs0.getMat(); @@ -2496,7 +2495,6 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) } C p(1, 0), r(1, 1); - for( i = 0; i < n; i++ ) { roots[i] = p; From 03e7b71707b32b28972f4ddcbdc1429b62938f54 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Mon, 2 Nov 2015 00:50:05 -0500 Subject: [PATCH 05/16] fix whitespace errors --- modules/core/src/mathfuncs.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index 9dda156e4..e97905bcf 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2493,7 +2493,7 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) for( i = 0; i <= n; i++ ) coeffs[i] = C(rcoeffs[i], 0); } - + C p(1, 0), r(1, 1); for( i = 0; i < n; i++ ) { From ed0065266ec7f00d7c7ac5309fa5ce869b7d4c0b Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Mon, 2 Nov 2015 08:38:05 -0500 Subject: [PATCH 06/16] update fixing bug #5599 --- modules/core/src/mathfuncs.cpp | 13 +++------ samples/cpp/polynominal_equations.cpp | 38 +++++++++++++++++++++++++++ 2 files changed, 41 insertions(+), 10 deletions(-) create mode 100644 samples/cpp/polynominal_equations.cpp diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index e97905bcf..8465a3d54 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2530,21 +2530,14 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) double old_num_im = num.im; num.re = old_num_re*old_num_re + old_num_im*old_num_im; - Mat num_re_arr = (Mat_(1,1) << num.re); - cv::sqrt(num_re_arr, num_re_arr); - num.re = num_re_arr.at(0, 0); + num.re = std::sqrt(num.re); num.re += old_num_re; num.im = num.re - old_num_re; num.re /= 2; - num_re_arr.at(0, 0) = num.re; - cv::sqrt(num_re_arr, num_re_arr); - num.re = num_re_arr.at(0, 0); + num.re = std::sqrt(num.re); - Mat num_im_arr = (Mat_(1,1) << num.im); num.im /= 2; - num_im_arr.at(0, 0) = num.re; - cv::sqrt(num_im_arr, num_im_arr); - num.im = num_im_arr.at(0, 0); + num.im = std::sqrt(num.im); if( old_num_re < 0 ) num.im = -num.im; } } diff --git a/samples/cpp/polynominal_equations.cpp b/samples/cpp/polynominal_equations.cpp new file mode 100644 index 000000000..0dd5dc706 --- /dev/null +++ b/samples/cpp/polynominal_equations.cpp @@ -0,0 +1,38 @@ + /* + * solves equations x^4 - x^2 = 0, and x^2 - 2x + 1 = 0 + */ + +#include "opencv2/core/core.hpp" +#include + + +int main(void) +{ + cv::Mat coefs = (cv::Mat_(1,5) << 0, 0, -1, 0, 1 ); + std::cout << "x^4 - x^2 = 0\n\n" << "Coefficients: " << coefs << "\n" << std::endl; + cv::Mat r; + + double prec; + prec = cv::solvePoly(coefs, r); + std::cout << "Preciseness = " << prec << std::endl; + std::cout << "roots after 1000 iterations:\n" << r << "\n" << std::endl; + + prec = cv::solvePoly(coefs, r, 9999); + std::cout << "Preciseness = " << prec << std::endl; + std::cout << "roots after 9999 iterations:\n" << r << "\n" << std::endl; + + std::cout << "\n---------------------------------------\n" << std::endl; + + coefs = (cv::Mat_(1,3) << 1, -2, 1 ); + std::cout << "x^2 - 2x + 1 = 0\n\n" << "Coefficients: " << coefs << "\n" << std::endl; + + prec = cv::solvePoly(coefs, r); + std::cout << "Preciseness = " << prec << std::endl; + std::cout << "roots after 1000 iterations:\n" << r << "\n" << std::endl; + + prec = cv::solvePoly(coefs, r, 9999); + std::cout << "Preciseness = " << prec << std::endl; + std::cout << "roots after 9999 iterations:\n" << r << "\n" << std::endl; + + return 0; +} \ No newline at end of file From b6e8a47fcafebda8d3195a02664a67a1dff29d9a Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Mon, 2 Nov 2015 09:28:37 -0500 Subject: [PATCH 07/16] fix whitespace errors --- modules/core/src/mathfuncs.cpp | 1 + 1 file changed, 1 insertion(+) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index 8465a3d54..d8be98750 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2469,6 +2469,7 @@ int cv::solveCubic( InputArray _coeffs, OutputArray _roots ) double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) { typedef Complex C; + double maxDiff = 0; int iter, i, j; Mat coeffs0 = _coeffs0.getMat(); From 537a978dcfed3f299308fc7ed0cfcde9664121ee Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Tue, 3 Nov 2015 12:52:49 -0500 Subject: [PATCH 08/16] update test_math.cpp --- modules/core/test/test_math.cpp | 49 +++++++++++++++++++++++++++++++++ 1 file changed, 49 insertions(+) diff --git a/modules/core/test/test_math.cpp b/modules/core/test/test_math.cpp index d2c069530..8520def0d 100644 --- a/modules/core/test/test_math.cpp +++ b/modules/core/test/test_math.cpp @@ -2348,6 +2348,55 @@ void Core_SolvePolyTest::run( int ) } } +template +static void checkRoot(Mat& r, T re, T im) +{ + for (size_t i = 0; i < r.total(); i++) + { + Vec v = *(Vec*)r.ptr(i); + if (fabs(re - v[0]) < 1e-6 && fabs(im - v[1]) < 1e-6) + { + v[0] = std::numeric_limits::quiet_NaN(); + v[1] = std::numeric_limits::quiet_NaN(); + return; + } + } + GTEST_NONFATAL_FAILURE_("Can't find root") << "(" << re << ", " << im << ")"; +} +TEST(Core_SolvePoly, regression_5599) +{ + // x^4 - x^2 = 0, roots: 1, -1, 0, 0 + cv::Mat coefs = (cv::Mat_(1,5) << 0, 0, -1, 0, 1 ); + { + cv::Mat r; + double prec; + prec = cv::solvePoly(coefs, r); + EXPECT_LE(prec, 1e-6); + EXPECT_EQ(4, (int)r.total()); + //std::cout << "Preciseness = " << prec << std::endl; + //std::cout << "roots:\n" << r << "\n" << std::endl; + ASSERT_EQ(CV_32FC2, r.type()); + checkRoot(r, 1, 0); + checkRoot(r, -1, 0); + checkRoot(r, 0, 0); + checkRoot(r, 0, 0); + } + // x^2 - 2x + 1 = 0, roots: 1, 1 + coefs = (cv::Mat_(1,3) << 1, -2, 1 ); + { + cv::Mat r; + double prec; + prec = cv::solvePoly(coefs, r); + EXPECT_LE(prec, 1e-6); + EXPECT_EQ(2, (int)r.total()); + //std::cout << "Preciseness = " << prec << std::endl; + //std::cout << "roots:\n" << r << "\n" << std::endl; + ASSERT_EQ(CV_32FC2, r.type()); + checkRoot(r, 1, 0); + checkRoot(r, 1, 0); + } +} + class Core_CheckRange_Empty : public cvtest::BaseTest { public: From 09b019318694198c9bb9524bf389e693ee6a09bb Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Tue, 3 Nov 2015 15:17:49 -0500 Subject: [PATCH 09/16] even more correct calculates cube root of complex number to give more correct results. --- modules/core/src/mathfuncs.cpp | 22 ++++++++++++++++++---- modules/core/test/test_math.cpp | 4 ++-- 2 files changed, 20 insertions(+), 6 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index d8be98750..cc2ce6d8f 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2525,11 +2525,12 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) num /= denom; if( num_same_root > 1) { - for( j = 0; j < num_same_root / 2; j++) - { - double old_num_re = num.re; - double old_num_im = num.im; + double old_num_re = num.re; + double old_num_im = num.im; + int square_root_times = num_same_root % 2 == 0 ? num_same_root / 2 : num_same_root / 2 - 1; + for( j = 0; j < square_root_times; j++) + { num.re = old_num_re*old_num_re + old_num_im*old_num_im; num.re = std::sqrt(num.re); num.re += old_num_re; @@ -2541,6 +2542,19 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) num.im = std::sqrt(num.im); if( old_num_re < 0 ) num.im = -num.im; } + + if( num_same_root % 2 != 0){ + Mat cube_coefs(4, 1, CV_32FC1); + Mat cube_roots(3, 1, CV_32FC2); + cube_coefs.at(3) = -(std::powf(old_num_re, 3)); + cube_coefs.at(2) = -(15*std::powf(old_num_re, 2) + 27*std::powf(old_num_im, 2)); + cube_coefs.at(1) = -48*old_num_re; + cube_coefs.at(0) = 64; + cv::solveCubic(cube_coefs, cube_roots); + + num.re = std::cbrt(cube_roots.at(0)); + num.im = std::sqrtf(std::powf(num.re, 2) / 3 - old_num_re / (3*num.re)); + } } roots[i] = p - num; diff --git a/modules/core/test/test_math.cpp b/modules/core/test/test_math.cpp index 8520def0d..c07af500d 100644 --- a/modules/core/test/test_math.cpp +++ b/modules/core/test/test_math.cpp @@ -2372,7 +2372,7 @@ TEST(Core_SolvePoly, regression_5599) double prec; prec = cv::solvePoly(coefs, r); EXPECT_LE(prec, 1e-6); - EXPECT_EQ(4, (int)r.total()); + EXPECT_EQ(4, r.total()); //std::cout << "Preciseness = " << prec << std::endl; //std::cout << "roots:\n" << r << "\n" << std::endl; ASSERT_EQ(CV_32FC2, r.type()); @@ -2388,7 +2388,7 @@ TEST(Core_SolvePoly, regression_5599) double prec; prec = cv::solvePoly(coefs, r); EXPECT_LE(prec, 1e-6); - EXPECT_EQ(2, (int)r.total()); + EXPECT_EQ(2, r.total()); //std::cout << "Preciseness = " << prec << std::endl; //std::cout << "roots:\n" << r << "\n" << std::endl; ASSERT_EQ(CV_32FC2, r.type()); From f461d0cb7a5ff7b9a7d6cc16baa2e8fd324187d2 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Tue, 3 Nov 2015 15:37:25 -0500 Subject: [PATCH 10/16] fix compile errors some functions were not found in namespace std --- modules/core/src/mathfuncs.cpp | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index cc2ce6d8f..08649780b 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2546,14 +2546,14 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) if( num_same_root % 2 != 0){ Mat cube_coefs(4, 1, CV_32FC1); Mat cube_roots(3, 1, CV_32FC2); - cube_coefs.at(3) = -(std::powf(old_num_re, 3)); - cube_coefs.at(2) = -(15*std::powf(old_num_re, 2) + 27*std::powf(old_num_im, 2)); + cube_coefs.at(3) = -(std::pow(old_num_re, 3)); + cube_coefs.at(2) = -(15*std::pow(old_num_re, 2) + 27*std::pow(old_num_im, 2)); cube_coefs.at(1) = -48*old_num_re; cube_coefs.at(0) = 64; cv::solveCubic(cube_coefs, cube_roots); - num.re = std::cbrt(cube_roots.at(0)); - num.im = std::sqrtf(std::powf(num.re, 2) / 3 - old_num_re / (3*num.re)); + num.re = cv::cubeRoot(cube_roots.at(0)); + num.im = std::sqrt(std::pow(num.re, 2) / 3 - old_num_re / (3*num.re)); } } From cfd5caf29d1a5b77d451f1dc84f311ca4626ad88 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Tue, 3 Nov 2015 16:19:41 -0500 Subject: [PATCH 11/16] deal with type casting issues --- modules/core/src/mathfuncs.cpp | 14 +++++++------- modules/core/test/test_math.cpp | 2 +- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index 08649780b..2c980a7cc 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2544,15 +2544,15 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) } if( num_same_root % 2 != 0){ - Mat cube_coefs(4, 1, CV_32FC1); - Mat cube_roots(3, 1, CV_32FC2); - cube_coefs.at(3) = -(std::pow(old_num_re, 3)); - cube_coefs.at(2) = -(15*std::pow(old_num_re, 2) + 27*std::pow(old_num_im, 2)); - cube_coefs.at(1) = -48*old_num_re; - cube_coefs.at(0) = 64; + Mat cube_coefs(4, 1, CV_64FC1); + Mat cube_roots(3, 1, CV_64FC2); + cube_coefs.at(3) = -(std::pow(old_num_re, 3)); + cube_coefs.at(2) = -(15*std::pow(old_num_re, 2) + 27*std::pow(old_num_im, 2)); + cube_coefs.at(1) = -48*old_num_re; + cube_coefs.at(0) = 64; cv::solveCubic(cube_coefs, cube_roots); - num.re = cv::cubeRoot(cube_roots.at(0)); + num.re = cv::cubeRoot(cube_roots.at(0)); num.im = std::sqrt(std::pow(num.re, 2) / 3 - old_num_re / (3*num.re)); } } diff --git a/modules/core/test/test_math.cpp b/modules/core/test/test_math.cpp index c07af500d..8490d696c 100644 --- a/modules/core/test/test_math.cpp +++ b/modules/core/test/test_math.cpp @@ -2351,7 +2351,7 @@ void Core_SolvePolyTest::run( int ) template static void checkRoot(Mat& r, T re, T im) { - for (size_t i = 0; i < r.total(); i++) + for (int i = 0; i < r.cols*r.rows; i++) { Vec v = *(Vec*)r.ptr(i); if (fabs(re - v[0]) < 1e-6 && fabs(im - v[1]) < 1e-6) From c8bf1765585afccd074db2424a5efe7dece8c3f6 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Tue, 3 Nov 2015 21:10:38 -0500 Subject: [PATCH 12/16] casting warning --- modules/core/src/mathfuncs.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index 2c980a7cc..a3ab97793 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2552,7 +2552,7 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) cube_coefs.at(0) = 64; cv::solveCubic(cube_coefs, cube_roots); - num.re = cv::cubeRoot(cube_roots.at(0)); + num.re = std::cbrt(cube_roots.at(0)); num.im = std::sqrt(std::pow(num.re, 2) / 3 - old_num_re / (3*num.re)); } } From 433bc81b30e981ad004aa5c2b8110a3e2b61c4f8 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Tue, 3 Nov 2015 21:40:52 -0500 Subject: [PATCH 13/16] std::cbrt could not be found --- modules/core/src/mathfuncs.cpp | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index a3ab97793..eb0cac638 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2552,7 +2552,8 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) cube_coefs.at(0) = 64; cv::solveCubic(cube_coefs, cube_roots); - num.re = std::cbrt(cube_roots.at(0)); + num.re = std::pow(std::abs(cube_roots.at(0)), 1/3); + if(cube_roots.at(0) < 0) num.re = -num.re; num.im = std::sqrt(std::pow(num.re, 2) / 3 - old_num_re / (3*num.re)); } } From a1532582a62702d6e7a10f40b87f9a6d3252ce49 Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Thu, 5 Nov 2015 19:38:24 -0500 Subject: [PATCH 14/16] optimize code --- modules/core/src/mathfuncs.cpp | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/modules/core/src/mathfuncs.cpp b/modules/core/src/mathfuncs.cpp index eb0cac638..90390bcc0 100644 --- a/modules/core/src/mathfuncs.cpp +++ b/modules/core/src/mathfuncs.cpp @@ -2532,29 +2532,29 @@ double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters ) for( j = 0; j < square_root_times; j++) { num.re = old_num_re*old_num_re + old_num_im*old_num_im; - num.re = std::sqrt(num.re); + num.re = sqrt(num.re); num.re += old_num_re; num.im = num.re - old_num_re; num.re /= 2; - num.re = std::sqrt(num.re); + num.re = sqrt(num.re); num.im /= 2; - num.im = std::sqrt(num.im); + num.im = sqrt(num.im); if( old_num_re < 0 ) num.im = -num.im; } if( num_same_root % 2 != 0){ Mat cube_coefs(4, 1, CV_64FC1); Mat cube_roots(3, 1, CV_64FC2); - cube_coefs.at(3) = -(std::pow(old_num_re, 3)); - cube_coefs.at(2) = -(15*std::pow(old_num_re, 2) + 27*std::pow(old_num_im, 2)); + cube_coefs.at(3) = -(pow(old_num_re, 3)); + cube_coefs.at(2) = -(15*pow(old_num_re, 2) + 27*pow(old_num_im, 2)); cube_coefs.at(1) = -48*old_num_re; cube_coefs.at(0) = 64; - cv::solveCubic(cube_coefs, cube_roots); + solveCubic(cube_coefs, cube_roots); - num.re = std::pow(std::abs(cube_roots.at(0)), 1/3); - if(cube_roots.at(0) < 0) num.re = -num.re; - num.im = std::sqrt(std::pow(num.re, 2) / 3 - old_num_re / (3*num.re)); + if(cube_roots.at(0) >= 0) num.re = pow(cube_roots.at(0), 1./3); + else num.re = -pow(-cube_roots.at(0), 1./3); + num.im = sqrt(pow(num.re, 2) / 3 - old_num_re / (3*num.re)); } } From e9b31a70bf9e0156e7ec3e3b33830e49f87b69cf Mon Sep 17 00:00:00 2001 From: Viet Dinh Date: Thu, 5 Nov 2015 21:44:36 -0500 Subject: [PATCH 15/16] mac osx compile errors --- ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 60922 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 163961 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 31701 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 795631 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 191778 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 574601 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 191850 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 610622 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 17566 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 76247 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 34335 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 183091 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 34335 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 44007 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 62820 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 35647 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 63011 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 31655 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 17494 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 42958 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 68718 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 4738 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 255992 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 95066 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 81590 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 37594 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 89279 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 1364446 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 124388 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 925034 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 1600864 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 144166 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 148029 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 4918 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 9298 bytes ...Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb | Bin 0 -> 91232 bytes 36 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 build/arithm_LUT_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_absdiff_nonsaturate_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_addWeighted_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_add_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_add_mask_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_add_scalar_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_add_scalar_mask_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_bitwise_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 2.80GHz.clb create mode 100644 build/arithm_cartToPolar_Apple_Intel(R) Core(TM)2 Duo CPU T9600 @ 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