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include LICENSE | ||
recursive-include m2cgen VERSION.txt | ||
recursive-include m2cgen linear_algebra.* | ||
recursive-include m2cgen log1p.* | ||
recursive-include m2cgen tanh.* | ||
global-exclude *.py[cod] |
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private static double Log1p(double x) { | ||
if (x == 0.0) | ||
return 0.0; | ||
if (x == -1.0) | ||
return double.NegativeInfinity; | ||
if (x < -1.0) | ||
return double.NaN; | ||
double xAbs = Abs(x); | ||
if (xAbs < 0.5 * double.Epsilon) | ||
return x; | ||
if ((x > 0.0 && x < 1e-8) || (x > -1e-9 && x < 0.0)) | ||
return x * (1.0 - x * 0.5); | ||
if (xAbs < 0.375) { | ||
double[] coeffs = { | ||
0.10378693562743769800686267719098e+1, | ||
-0.13364301504908918098766041553133e+0, | ||
0.19408249135520563357926199374750e-1, | ||
-0.30107551127535777690376537776592e-2, | ||
0.48694614797154850090456366509137e-3, | ||
-0.81054881893175356066809943008622e-4, | ||
0.13778847799559524782938251496059e-4, | ||
-0.23802210894358970251369992914935e-5, | ||
0.41640416213865183476391859901989e-6, | ||
-0.73595828378075994984266837031998e-7, | ||
0.13117611876241674949152294345011e-7, | ||
-0.23546709317742425136696092330175e-8, | ||
0.42522773276034997775638052962567e-9, | ||
-0.77190894134840796826108107493300e-10, | ||
0.14075746481359069909215356472191e-10, | ||
-0.25769072058024680627537078627584e-11, | ||
0.47342406666294421849154395005938e-12, | ||
-0.87249012674742641745301263292675e-13, | ||
0.16124614902740551465739833119115e-13, | ||
-0.29875652015665773006710792416815e-14, | ||
0.55480701209082887983041321697279e-15, | ||
-0.10324619158271569595141333961932e-15}; | ||
return x * (1.0 - x * ChebyshevBroucke(x / 0.375, coeffs)); | ||
} | ||
return Log(1.0 + x); | ||
} | ||
private static double ChebyshevBroucke(double x, double[] coeffs) { | ||
double b0, b1, b2, x2; | ||
b2 = b1 = b0 = 0.0; | ||
x2 = x * 2; | ||
for (int i = coeffs.Length - 1; i >= 0; --i) { | ||
b2 = b1; | ||
b1 = b0; | ||
b0 = x2 * b1 - b2 + coeffs[i]; | ||
} | ||
return (b0 - b2) * 0.5; | ||
} |
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double log1p(double x) { | ||
if (x == 0.0) | ||
return 0.0; | ||
if (x == -1.0) | ||
return double.negativeInfinity; | ||
if (x < -1.0) | ||
return double.nan; | ||
double xAbs = x.abs(); | ||
if (xAbs < 0.5 * 4.94065645841247e-324) | ||
return x; | ||
if ((x > 0.0 && x < 1e-8) || (x > -1e-9 && x < 0.0)) | ||
return x * (1.0 - x * 0.5); | ||
if (xAbs < 0.375) { | ||
List<double> coeffs = [ | ||
0.10378693562743769800686267719098e+1, | ||
-0.13364301504908918098766041553133e+0, | ||
0.19408249135520563357926199374750e-1, | ||
-0.30107551127535777690376537776592e-2, | ||
0.48694614797154850090456366509137e-3, | ||
-0.81054881893175356066809943008622e-4, | ||
0.13778847799559524782938251496059e-4, | ||
-0.23802210894358970251369992914935e-5, | ||
0.41640416213865183476391859901989e-6, | ||
-0.73595828378075994984266837031998e-7, | ||
0.13117611876241674949152294345011e-7, | ||
-0.23546709317742425136696092330175e-8, | ||
0.42522773276034997775638052962567e-9, | ||
-0.77190894134840796826108107493300e-10, | ||
0.14075746481359069909215356472191e-10, | ||
-0.25769072058024680627537078627584e-11, | ||
0.47342406666294421849154395005938e-12, | ||
-0.87249012674742641745301263292675e-13, | ||
0.16124614902740551465739833119115e-13, | ||
-0.29875652015665773006710792416815e-14, | ||
0.55480701209082887983041321697279e-15, | ||
-0.10324619158271569595141333961932e-15]; | ||
return x * (1.0 - x * chebyshevBroucke(x / 0.375, coeffs)); | ||
} | ||
return log(1.0 + x); | ||
} | ||
double chebyshevBroucke(double x, List<double> coeffs) { | ||
double b0, b1, b2, x2; | ||
b2 = b1 = b0 = 0.0; | ||
x2 = x * 2; | ||
for (int i = coeffs.length - 1; i >= 0; --i) { | ||
b2 = b1; | ||
b1 = b0; | ||
b0 = x2 * b1 - b2 + coeffs[i]; | ||
} | ||
return (b0 - b2) * 0.5; | ||
} |
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Original file line number | Diff line number | Diff line change |
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log1p :: Double -> Double | ||
log1p x | ||
| x == 0 = 0 | ||
| x == -1 = -1 / 0 | ||
| x < -1 = 0 / 0 | ||
| x' < m_epsilon * 0.5 = x | ||
| (x > 0 && x < 1e-8) || (x > -1e-9 && x < 0) | ||
= x * (1 - x * 0.5) | ||
| x' < 0.375 = x * (1 - x * chebyshevBroucke (x / 0.375) coeffs) | ||
| otherwise = log (1 + x) | ||
where | ||
m_epsilon = encodeFloat (signif + 1) expo - 1.0 | ||
where (signif, expo) = decodeFloat (1.0::Double) | ||
x' = abs x | ||
coeffs = [0.10378693562743769800686267719098e+1, | ||
-0.13364301504908918098766041553133e+0, | ||
0.19408249135520563357926199374750e-1, | ||
-0.30107551127535777690376537776592e-2, | ||
0.48694614797154850090456366509137e-3, | ||
-0.81054881893175356066809943008622e-4, | ||
0.13778847799559524782938251496059e-4, | ||
-0.23802210894358970251369992914935e-5, | ||
0.41640416213865183476391859901989e-6, | ||
-0.73595828378075994984266837031998e-7, | ||
0.13117611876241674949152294345011e-7, | ||
-0.23546709317742425136696092330175e-8, | ||
0.42522773276034997775638052962567e-9, | ||
-0.77190894134840796826108107493300e-10, | ||
0.14075746481359069909215356472191e-10, | ||
-0.25769072058024680627537078627584e-11, | ||
0.47342406666294421849154395005938e-12, | ||
-0.87249012674742641745301263292675e-13, | ||
0.16124614902740551465739833119115e-13, | ||
-0.29875652015665773006710792416815e-14, | ||
0.55480701209082887983041321697279e-15, | ||
-0.10324619158271569595141333961932e-15] | ||
chebyshevBroucke i = fini . foldr step [0, 0, 0] | ||
where | ||
step k [b0, b1, _] = [(k + i * 2 * b0 - b1), b0, b1] | ||
fini [b0, _, b2] = (b0 - b2) * 0.5 |
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