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rationalApproxBinary128

asin.rationalApproxBinary128

fn rationalApproxBinary128(z: f128) f128

File

lib/std/math/asin.zig:256

Code

fn rationalApproxBinary128(z: f128) f128 {
    const pS0: f128 = 1.66666666666666666666666666666700314e-01;
    const pS1: f128 = -7.32816946414566252574527475428622708e-01;
    const pS2: f128 = 1.34215708714992334609030036562143589e+00;
    const pS3: f128 = -1.32483151677116409805070261790752040e+00;
    const pS4: f128 = 7.61206183613632558824485341162121989e-01;
    const pS5: f128 = -2.56165783329023486777386833928147375e-01;
    const pS6: f128 = 4.80718586374448793411019434585413855e-02;
    const pS7: f128 = -4.42523267167024279410230886239774718e-03;
    const pS8: f128 = 1.44551535183911458253205638280410064e-04;
    const pS9: f128 = -2.10558957916600254061591040482706179e-07;
    const qS1: f128 = -4.84690167848739751544716485245697428e+00;
    const qS2: f128 = 9.96619113536172610135016921140206980e+00;
    const qS3: f128 = -1.13177895428973036660836798461641458e+01;
    const qS4: f128 = 7.74004374389488266169304117714658761e+00;
    const qS5: f128 = -3.25871986053534084709023539900339905e+00;
    const qS6: f128 = 8.27830318881232209752469022352928864e-01;
    const qS7: f128 = -1.18768052702942805423330715206348004e-01;
    const qS8: f128 = 8.32600764660522313269101537926539470e-03;
    const qS9: f128 = -1.99407384882605586705979504567947007e-04;

    const p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * (pS5 + z * (pS6 + z * (pS7 + z * (pS8 + z * pS9)))))))));
    const q = 1.0 + z * (qS1 + z * (qS2 + z * (qS3 + z * (qS4 + z * (qS5 + z * (qS6 + z * (qS7 + z * (qS8 + z * qS9))))))));
    return p / q;
}