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21
sin.md
21
sin.md
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@ -183,23 +183,28 @@ Mainstream way of implementing [floating point](float.md) sine (but potentially
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*sin(x) = x/1! - x^(3)/3! + x^(5)/5! - x^(7)/7! + ...*
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Here is a simple implementation using fixed number of terms, which nonetheless gives quite precise results:
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Here is a simple implementation using fixed number of terms, which gives quite precise results:
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```
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double sinF(double x)
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{
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#define _PI 3.141593
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if (x < 0)
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// adjust argument:
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if (x < -1 * _PI / 2)
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x = -1 * x + _PI;
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int part = (2 * x) / _PI;
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x -= part * _PI / 2;
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if (part % 2)
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x = _PI / 2 - x;
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if (x > _PI / 2)
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{
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x -= _PI / 2;
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int part = x / _PI;
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x -= part * _PI;
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x = (part % 2) ? (-1 * _PI / 2 + x) : (_PI / 2 - x);
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}
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#undef _PI
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// Taylor series:
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double x2 = x * x, r = x;
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x *= x2;
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