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Make igamma and igammac work correctly.
This required replacing ::abs with std::abs. Modified some unit tests.
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@@ -331,41 +331,45 @@ template<typename ArrayType> void array_real(const ArrayType& m)
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VERIFY_IS_EQUAL(numext::digamma(Scalar(-1)),
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std::numeric_limits<RealScalar>::infinity());
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Scalar a_s[] = {Scalar(0), Scalar(1), Scalar(1.5), Scalar(4), Scalar(0.0001), Scalar(10000.5)};
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Scalar x_s[] = {Scalar(0), Scalar(1), Scalar(1.5), Scalar(4), Scalar(0.0001), Scalar(10000.5)};
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Scalar a_s[] = {Scalar(0), Scalar(1), Scalar(1.5), Scalar(4), Scalar(0.0001), Scalar(1000.5)};
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Scalar x_s[] = {Scalar(0), Scalar(1), Scalar(1.5), Scalar(4), Scalar(0.0001), Scalar(1000.5)};
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// location i*6+j corresponds to a_s[i], x_s[j].
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Scalar nan = std::numeric_limits<Scalar>::quiet_NaN();
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Scalar igamma_s[][6] = {
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{0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
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{0.0, 0.6321205588285578, 0.7768698398515702, 0.9816843611112658,
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9.999500016666262e-05, 1.0},
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{0.0, 0.4275932955291202, 0.608374823728911, 0.9539882943107686,
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7.522076445089201e-07, 1.0},
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{0.0, 0.01898815687615381, 0.06564245437845008, 0.5665298796332909,
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4.166333347221828e-18, 1.0},
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{0.0, 0.9999780593618628, 0.9999899967080838, 0.9999996219837988,
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0.9991370418689945, 1.0},
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{0.0, 0.0, 0.0, 0.0, 0.0, 0.5013297751014064}};
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Scalar igammac_s[][6] = {
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{1.0, 1.0, 1.0, 1.0, 1.0, 1.0},
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{1.0, 0.36787944117144233, 0.22313016014842982,
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0.018315638888734182, 0.9999000049998333, 0.0},
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{1.0, 0.5724067044708798, 0.3916251762710878,
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0.04601170568923136, 0.9999992477923555, 0.0},
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{1.0, 0.9810118431238462, 0.9343575456215499,
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0.4334701203667089, 1.0, 0.0},
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{1.0, 2.1940638138146658e-05, 1.0003291916285e-05,
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3.7801620118431334e-07, 0.0008629581310054535, 0.0},
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{1.0, 1.0, 1.0, 1.0, 1.0, 0.49867022490946517}};
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Scalar igamma_s[][6] = {{0.0, nan, nan, nan, nan, nan},
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{0.0, 0.6321205588285578, 0.7768698398515702,
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0.9816843611112658, 9.999500016666262e-05, 1.0},
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{0.0, 0.4275932955291202, 0.608374823728911,
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0.9539882943107686, 7.522076445089201e-07, 1.0},
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{0.0, 0.01898815687615381, 0.06564245437845008,
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0.5665298796332909, 4.166333347221828e-18, 1.0},
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{0.0, 0.9999780593618628, 0.9999899967080838,
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0.9999996219837988, 0.9991370418689945, 1.0},
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{0.0, 0.0, 0.0, 0.0, 0.0, 0.5042041932513908}};
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Scalar igammac_s[][6] = {{nan, nan, nan, nan, nan, nan},
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{1.0, 0.36787944117144233, 0.22313016014842982,
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0.018315638888734182, 0.9999000049998333, 0.0},
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{1.0, 0.5724067044708798, 0.3916251762710878,
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0.04601170568923136, 0.9999992477923555, 0.0},
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{1.0, 0.9810118431238462, 0.9343575456215499,
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0.4334701203667089, 1.0, 0.0},
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{1.0, 2.1940638138146658e-05, 1.0003291916285e-05,
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3.7801620118431334e-07, 0.0008629581310054535,
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0.0},
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{1.0, 1.0, 1.0, 1.0, 1.0, 0.49579580674813944}};
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for (int i = 0; i < 6; ++i) {
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for (int j = 0; j < 6; ++j) {
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//std::cout << numext::igamma(a_s[i], x_s[j]) << " vs. " << igamma_s[i][j] << std::endl;
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//std::cout << numext::igammac(a_s[i], x_s[j]) << " c.vs. " <<
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//igammac_s[i][j] << std::endl;
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std::cout << a_s[i] << ", " << x_s[j] << std::endl;
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VERIFY_IS_APPROX(numext::igamma(a_s[i], x_s[j]), igamma_s[i][j]);
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VERIFY_IS_APPROX(numext::igammac(a_s[i], x_s[j]), igammac_s[i][j]);
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if ((std::isnan)(igamma_s[i][j])) {
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VERIFY((std::isnan)(numext::igamma(a_s[i], x_s[j])));
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} else {
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VERIFY_IS_APPROX(numext::igamma(a_s[i], x_s[j]), igamma_s[i][j]);
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}
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if ((std::isnan)(igammac_s[i][j])) {
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VERIFY((std::isnan)(numext::igammac(a_s[i], x_s[j])));
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} else {
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VERIFY_IS_APPROX(numext::igammac(a_s[i], x_s[j]), igammac_s[i][j]);
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}
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}
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}
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}
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