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math: use Sincos instead of Sin and Cos in Jn and Yn
This should be slightly faster. Benchmarks: name old time/op new time/op delta Jn-8 108ns ± 0% 109ns ± 0% +0.93% (p=0.000 n=20+16) Yn-8 106ns ± 0% 106ns ± 0% ~ (all equal)
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@ -103,15 +103,15 @@ func Jn(n int, x float64) float64 {
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// 3 s+c c-s
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var temp float64
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switch n & 3 {
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switch s, c := Sincos(x); n & 3 {
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case 0:
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temp = Cos(x) + Sin(x)
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temp = c + s
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case 1:
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temp = -Cos(x) + Sin(x)
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temp = -c + s
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case 2:
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temp = -Cos(x) - Sin(x)
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temp = -c - s
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case 3:
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temp = Cos(x) - Sin(x)
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temp = c - s
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}
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b = (1 / SqrtPi) * temp / Sqrt(x)
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} else {
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@ -278,15 +278,15 @@ func Yn(n int, x float64) float64 {
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// 3 s+c c-s
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var temp float64
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switch n & 3 {
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switch s, c := Sincos(x); n & 3 {
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case 0:
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temp = Sin(x) - Cos(x)
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temp = s - c
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case 1:
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temp = -Sin(x) - Cos(x)
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temp = -s - c
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case 2:
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temp = -Sin(x) + Cos(x)
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temp = -s + c
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case 3:
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temp = Sin(x) + Cos(x)
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temp = s + c
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}
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b = (1 / SqrtPi) * temp / Sqrt(x)
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} else {
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