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use a method less prone to cancellation near x=1

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Alden 2023-02-13 03:50:30 -05:00
parent e634266aad
commit 2b1298cd69
2 changed files with 5 additions and 7 deletions
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7
decimal.js
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@ -744,14 +744,13 @@
Ctor.precision = pr + 6;
Ctor.rounding = 1;
x = x.asin();
halfPi = getPi(Ctor, pr + 4, rm).times(0.5);
x = (new Ctor(1)).minus(x).div(x.plus(1)).sqrt().atan();
Ctor.precision = pr;
Ctor.rounding = rm;
return halfPi.minus(x);
return x.times(2);
};

5
decimal.mjs
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@ -741,13 +741,12 @@ P.inverseCosine = P.acos = function () {
Ctor.precision = pr + 6;
Ctor.rounding = 1;
x = x.asin();
halfPi = getPi(Ctor, pr + 4, rm).times(0.5);
x = (new Ctor(1)).minus(x).div(x.plus(1)).sqrt().atan();
Ctor.precision = pr;
Ctor.rounding = rm;
return halfPi.minus(x);
return x.times(2);
};