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synced 2026-04-10 11:34:33 +08:00
Fix calc bug, docs and better testing.
Test code changes: * better coded * rand and manual numbers * singularity checking
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@@ -18,7 +18,7 @@ namespace Eigen
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namespace internal
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{
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// TODO: Check if already exists on the rest API
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// TODO: Add this trait to the Eigen internal API?
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template <int Num, bool IsPositive = (Num > 0)>
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struct Abs
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{
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@@ -186,25 +186,25 @@ namespace Eigen
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typedef typename Derived::Scalar Scalar;
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Scalar plusMinus = IsEven? 1 : -1;
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Scalar minusPlus = IsOdd? 1 : -1;
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const Scalar plusMinus = IsEven? 1 : -1;
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const Scalar minusPlus = IsOdd? 1 : -1;
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Scalar Rsum = sqrt((mat(I,I) * mat(I,I) + mat(I,J) * mat(I,J) + mat(J,K) * mat(J,K) + mat(K,K) * mat(K,K))/2);
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const Scalar Rsum = sqrt((mat(I,I) * mat(I,I) + mat(I,J) * mat(I,J) + mat(J,K) * mat(J,K) + mat(K,K) * mat(K,K))/2);
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res[1] = atan2(plusMinus * mat(I,K), Rsum);
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// There is a singularity when cos(beta) = 0
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if(Rsum > 4 * NumTraits<Scalar>::epsilon()) {
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// There is a singularity when cos(beta) == 0
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if(Rsum > 4 * NumTraits<Scalar>::epsilon()) {// cos(beta) != 0
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res[0] = atan2(minusPlus * mat(J, K), mat(K, K));
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res[2] = atan2(minusPlus * mat(I, J), mat(I, I));
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}
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else if(plusMinus * mat(I, K) > 0) {
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Scalar spos = mat(J, I) + plusMinus * mat(K, J); // 2*sin(alpha + plusMinus * gamma)
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Scalar cpos = mat(J, J) + minusPlus * mat(K, I); // 2*cos(alpha + plusMinus * gamma);
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else if(plusMinus * mat(I, K) > 0) {// cos(beta) == 0 and sin(beta) == 1
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Scalar spos = mat(J, I) + plusMinus * mat(K, J); // 2*sin(alpha + plusMinus * gamma
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Scalar cpos = mat(J, J) + minusPlus * mat(K, I); // 2*cos(alpha + plusMinus * gamma)
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Scalar alphaPlusMinusGamma = atan2(spos, cpos);
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res[0] = alphaPlusMinusGamma;
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res[2] = 0;
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}
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else {
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else {// cos(beta) == 0 and sin(beta) == -1
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Scalar sneg = plusMinus * (mat(K, J) + minusPlus * mat(J, I)); // 2*sin(alpha + minusPlus*gamma)
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Scalar cneg = mat(J, J) + plusMinus * mat(K, I); // 2*cos(alpha + minusPlus*gamma)
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Scalar alphaMinusPlusBeta = atan2(sneg, cneg);
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@@ -222,30 +222,30 @@ namespace Eigen
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typedef typename Derived::Scalar Scalar;
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Scalar plusMinus = IsEven? 1 : -1;
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Scalar minusPlus = IsOdd? 1 : -1;
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const Scalar plusMinus = IsEven? 1 : -1;
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const Scalar minusPlus = IsOdd? 1 : -1;
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Scalar Rsum = sqrt((mat(I, J) * mat(I, J) + mat(I, K) * mat(I, K) + mat(J, I) * mat(J, I) + mat(K, I) * mat(K, I)) / 2);
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const Scalar Rsum = sqrt((mat(I, J) * mat(I, J) + mat(I, K) * mat(I, K) + mat(J, I) * mat(J, I) + mat(K, I) * mat(K, I)) / 2);
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res[1] = atan2(Rsum, mat(I, I));
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if(Rsum > 4 * NumTraits<Scalar>::epsilon()) {
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// There is a singularity when sin(beta) == 0
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if(Rsum > 4 * NumTraits<Scalar>::epsilon()) {// sin(beta) != 0
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res[0] = atan2(mat(J, I), minusPlus * mat(K, I));
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res[2] = atan2(mat(I, J), plusMinus * mat(I, K));
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}
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else if( mat(I, I) > 0) {
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else if(mat(I, I) > 0) {// sin(beta) == 0 and cos(beta) == 1
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Scalar spos = plusMinus * mat(K, J) + minusPlus * mat(J, K); // 2*sin(alpha + gamma)
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Scalar cpos = mat(J, J) + mat(K, K); // 2*cos(alpha + gamma)
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res[0] = atan2(spos, cpos);
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res[2] = 0;
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}
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else {
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else {// sin(beta) == 0 and cos(beta) == -1
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Scalar sneg = plusMinus * mat(K, J) + plusMinus * mat(J, K); // 2*sin(alpha - gamma)
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Scalar cneg = mat(J, J) - mat(K, K); // 2*cos(alpha - gamma)
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res[0] = atan2(sneg, cneg);
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res[1] = 0;
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res[2] = 0;
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}
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}
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template<typename Scalar>
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