From f2eabdb6257c09cf2890dac5e9737912728542af Mon Sep 17 00:00:00 2001 From: mrb0nk500 Date: Thu, 2 Feb 2023 17:29:19 -0400 Subject: global: Add rest of Dolphin SDK proper, add MSL, and MetroTRK Finally, it links properly. --- src/MSL_C.PPCEABI.bare.H/e_asin.c | 115 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 115 insertions(+) create mode 100644 src/MSL_C.PPCEABI.bare.H/e_asin.c (limited to 'src/MSL_C.PPCEABI.bare.H/e_asin.c') diff --git a/src/MSL_C.PPCEABI.bare.H/e_asin.c b/src/MSL_C.PPCEABI.bare.H/e_asin.c new file mode 100644 index 0000000..b8ad60b --- /dev/null +++ b/src/MSL_C.PPCEABI.bare.H/e_asin.c @@ -0,0 +1,115 @@ +/* @(#)e_asin.c 1.2 95/01/04 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_asin(x) + * Method : + * Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ... + * we approximate asin(x) on [0,0.5] by + * asin(x) = x + x*x^2*R(x^2) + * where + * R(x^2) is a rational approximation of (asin(x)-x)/x^3 + * and its remez error is bounded by + * |(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75) + * + * For x in [0.5,1] + * asin(x) = pi/2-2*asin(sqrt((1-x)/2)) + * Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2; + * then for x>0.98 + * asin(x) = pi/2 - 2*(s+s*z*R(z)) + * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) + * For x<=0.98, let pio4_hi = pio2_hi/2, then + * f = hi part of s; + * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) + * and + * asin(x) = pi/2 - 2*(s+s*z*R(z)) + * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) + * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) + * + * Special cases: + * if x is NaN, return x itself; + * if |x|>1, return NaN with invalid signal. + * + */ + +#include + +#ifdef __STDC__ +static const double +#else +static double +#endif + one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ + big = 1.000e+300, pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ + pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ + pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ + /* coefficient for R(x^2) */ + pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ + pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ + pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ + pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ + pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ + pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ + qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ + qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ + qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ + qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ + +#ifdef __STDC__ +double __ieee754_asin(double x) +#else +double __ieee754_asin(x) +double x; +#endif +{ + double t, w, p, q, c, r, s; + _INT32 hx, ix; + hx = __HI(x); + ix = hx & 0x7fffffff; + if (ix >= 0x3ff00000) { /* |x|>= 1 */ + if (((ix - 0x3ff00000) | __LO(x)) == 0) + /* asin(1)=+-pi/2 with inexact */ + return x * pio2_hi + x * pio2_lo; + return NAN; /* asin(|x|>1) is NaN */ + } else if (ix < 0x3fe00000) { /* |x|<0.5 */ + if (ix < 0x3e400000) { /* if |x| < 2**-27 */ + if (big + x > one) + return x; /* return x with inexact if x!=0*/ + } else + t = x * x; + p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); + q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); + w = p / q; + return x + x * w; + } + /* 1> |x|>= 0.5 */ + w = one - fabs(x); + t = w * 0.5; + p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); + q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); + s = sqrt(t); + if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ + w = p / q; + t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); + } else { + w = s; + __LO(w) = 0; + c = (t - w * w) / (s + w); + r = p / q; + p = 2.0 * s * r - (pio2_lo - 2.0 * c); + q = pio4_hi - 2.0 * w; + t = pio4_hi - (p - q); + } + if (hx > 0) + return t; + else + return -t; +} -- cgit v1.2.3-13-gbd6f