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Modules/mathmodule.c

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Original file line numberDiff line numberDiff line change
@@ -2832,8 +2832,7 @@ long_add_would_overflow(long a, long b)
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}
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/*
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Double and triple length extended precision floating point arithmetic
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based on:
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Double and triple length extended precision algorithms from:
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Accurate Sum and Dot Product
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by Takeshi Ogita, Siegfried M. Rump, and Shin’Ichi Oishi
@@ -2847,7 +2846,7 @@ typedef struct{ double hi; double lo; } DoubleLength;
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static DoubleLength
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dl_sum(double a, double b)
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{
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// Algorithm 3.1 Error-free transformation of the sum
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/* Algorithm 3.1 Error-free transformation of the sum */
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double x = a + b;
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double z = x - a;
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double y = (a - (x - z)) + (b - z);
@@ -2857,7 +2856,7 @@ dl_sum(double a, double b)
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static DoubleLength
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dl_mul(double x, double y)
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{
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// Algorithm 3.5. Error-free transformation of a product
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/* Algorithm 3.5. Error-free transformation of a product */
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double z = x * y;
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double zz = fma(x, y, -z);
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return (DoubleLength) {z, zz};
@@ -2870,7 +2869,7 @@ static const TripleLength tl_zero = {0.0, 0.0, 0.0};
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static TripleLength
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tl_fma(double x, double y, TripleLength total)
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{
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// Algorithm 5.10 with SumKVert for K=3
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/* Algorithm 5.10 with SumKVert for K=3 */
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DoubleLength pr = dl_mul(x, y);
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DoubleLength sm = dl_sum(total.hi, pr.hi);
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DoubleLength r1 = dl_sum(total.lo, pr.lo);

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