diff options
Diffstat (limited to 'newlib/libm/machine/amdgcn/v64df_lgamma_r.c')
| -rw-r--r-- | newlib/libm/machine/amdgcn/v64df_lgamma_r.c | 286 |
1 files changed, 286 insertions, 0 deletions
diff --git a/newlib/libm/machine/amdgcn/v64df_lgamma_r.c b/newlib/libm/machine/amdgcn/v64df_lgamma_r.c new file mode 100644 index 000000000..a9a9a31b7 --- /dev/null +++ b/newlib/libm/machine/amdgcn/v64df_lgamma_r.c @@ -0,0 +1,286 @@ +/* + * ==================================================== + * 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. + * ==================================================== + * + */ + +/* Based on newlib/libm/math/er_lgamma.c in Newlib. */ + +#include "amdgcnmach.h" + +static const double two52= 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ +half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ +one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ +pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ +a0 = 7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */ +a1 = 3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */ +a2 = 6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */ +a3 = 2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */ +a4 = 7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */ +a5 = 2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */ +a6 = 1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */ +a7 = 5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */ +a8 = 2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */ +a9 = 1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */ +a10 = 2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */ +a11 = 4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */ +tc = 1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */ +tf = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */ +/* tt = -(tail of tf) */ +tt = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */ +t0 = 4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */ +t1 = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */ +t2 = 6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */ +t3 = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */ +t4 = 1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */ +t5 = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */ +t6 = 6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */ +t7 = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */ +t8 = 2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */ +t9 = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */ +t10 = 8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */ +t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */ +t12 = 3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */ +t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */ +t14 = 3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */ +u0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */ +u1 = 6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */ +u2 = 1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */ +u3 = 9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */ +u4 = 2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */ +u5 = 1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */ +v1 = 2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */ +v2 = 2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */ +v3 = 7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */ +v4 = 1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */ +v5 = 3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */ +s0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */ +s1 = 2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */ +s2 = 3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */ +s3 = 1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */ +s4 = 2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */ +s5 = 1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */ +s6 = 3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */ +r1 = 1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */ +r2 = 7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */ +r3 = 1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */ +r4 = 1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */ +r5 = 7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */ +r6 = 7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */ +w0 = 4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */ +w1 = 8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */ +w2 = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */ +w3 = 7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */ +w4 = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */ +w5 = 8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */ +w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */ + +static const double zero= 0.00000000000000000000e+00; + +v64df v64df_cos_aux (v64df x, v64di __mask); +v64df v64df_log_aux (v64df x, v64di __mask); +v64df v64df_sin_aux (v64df x, v64di __mask); + +#if defined (__has_builtin) \ + && __has_builtin (__builtin_gcn_floorv) \ + && __has_builtin (__builtin_gcn_fabsv) + +static v64df +v64df_sin_pi (v64df x) +{ + // Explicitly create mask for internal function. + v64di __mask = VECTOR_INIT (-1L); + FUNCTION_INIT (v64df); + + v64df y, z; + v64si n, ix; + + GET_HIGH_WORD (ix, x, NO_COND); + ix &= 0x7fffffff; + + VECTOR_IF (ix < 0x3fd00000, cond) + VECTOR_RETURN (v64df_sin_aux (pi * x, __mask), cond); + VECTOR_ENDIF + y = -x; /* x is assume negative */ + + /* + * argument reduction, make sure inexact flag not raised if input + * is an integer + */ + z = __builtin_gcn_floorv (y); + VECTOR_IF (z != y, cond) + /* inexact anyway */ + VECTOR_COND_MOVE(y, y * 0.5, cond); + VECTOR_COND_MOVE(y, 2.0 * (y - __builtin_gcn_floorv (y)), cond); /* y = |x| mod 2.0 */ + VECTOR_COND_MOVE(n, __builtin_convertvector(y * 4.0, v64si), cond); + VECTOR_ELSE (cond) + VECTOR_IF2 (__builtin_convertvector(ix >= 0x43400000, v64di), cond2, cond) + VECTOR_COND_MOVE(y, VECTOR_INIT(zero), cond2); + VECTOR_COND_MOVE(n, VECTOR_INIT(0), cond2); /* y must be even */ + VECTOR_ELSE2 (cond2, cond) + VECTOR_COND_MOVE(z, y + two52 /* exact */, cond2 & __builtin_convertvector(ix < 0x43300000, v64di)); + GET_LOW_WORD (n, z, cond2); + VECTOR_COND_MOVE(n, n & 1, cond2); + VECTOR_COND_MOVE(y, __builtin_convertvector(n, v64df), cond2); + VECTOR_COND_MOVE(n, n << 2, cond2); + VECTOR_ENDIF + VECTOR_ENDIF + + VECTOR_IF (n == 0, cond) + VECTOR_COND_MOVE(y, v64df_sin_aux (pi * y, __mask), cond); + VECTOR_ELSEIF (n == 1 | n == 2, cond) + VECTOR_COND_MOVE(y, v64df_cos_aux (pi * (0.5 - y), __mask), cond); + VECTOR_ELSEIF (n == 3 | n == 4, cond) + VECTOR_COND_MOVE(y, v64df_sin_aux (pi * (VECTOR_INIT(one) - y), __mask), cond); + VECTOR_ELSEIF (n == 5 | n == 6, cond) + VECTOR_COND_MOVE(y, -v64df_cos_aux (pi * (y - 1.5), __mask), cond); + VECTOR_ELSE (cond) + VECTOR_COND_MOVE(y, v64df_sin_aux (pi * (y - 2.0), __mask), cond); + VECTOR_ENDIF + + VECTOR_RETURN(-y, NO_COND); + FUNCTION_RETURN; +} + +DEF_VD_MATH_FUNC (v64df, lgamma_r, v64df x, v64si *signgamp) +{ + FUNCTION_INIT (v64df); + + v64df t,y,z,nadj = VECTOR_INIT(0.0),p,p1,p2,p3,q,r,w; + v64si i,hx,lx,ix; + + EXTRACT_WORDS(hx,lx,x); + + /* purge off +-inf, NaN, +-0, and negative arguments */ + *signgamp = VECTOR_INIT(1); + ix = hx&0x7fffffff; + VECTOR_IF(ix>=0x7ff00000, cond) + VECTOR_RETURN (x*x, cond); + VECTOR_ENDIF + VECTOR_IF((ix|lx)==0, cond) + VECTOR_COND_MOVE(*signgamp, VECTOR_INIT(-1), cond & (hx<0)); + VECTOR_RETURN(one/(x-x), cond); + VECTOR_ENDIF + VECTOR_IF (ix < 0x3b900000, cond) /* |x|<2**-70, return -log(|x|) */ + VECTOR_IF2(hx<0, cond2, cond) + VECTOR_COND_MOVE(*signgamp, VECTOR_INIT(-1), cond); + VECTOR_RETURN (-v64df_log_aux(-x, __mask), cond2); + VECTOR_ELSE2(cond2, cond) + VECTOR_RETURN (-v64df_log_aux(x, __mask), cond2); + VECTOR_ENDIF + VECTOR_ENDIF + VECTOR_IF (hx < 0, cond) + VECTOR_IF2(ix>=0x43300000, cond2, cond) /* |x|>=2**52, must be -integer */ + VECTOR_RETURN(one/(x-x), cond2); /* -integer */ + VECTOR_ENDIF + VECTOR_COND_MOVE (t, v64df_sin_pi (x), cond); + VECTOR_IF2(__builtin_convertvector(t==zero, v64si), cond2, cond) + VECTOR_RETURN(one/(x-x), cond2); /* -integer */ + VECTOR_ENDIF + VECTOR_COND_MOVE(nadj, v64df_log_aux(VECTOR_INIT(pi)/__builtin_gcn_fabsv(t*x), __mask), cond); + VECTOR_COND_MOVE(*signgamp, VECTOR_INIT(-1), cond & __builtin_convertvector(t < zero, v64si)); + VECTOR_COND_MOVE(x, -x, cond); + VECTOR_ENDIF + + /* purge off 1 and 2 */ + VECTOR_IF((((ix-0x3ff00000)|lx)==0)|(((ix-0x40000000)|lx)==0), cond) + VECTOR_COND_MOVE(r, VECTOR_INIT(0.0), cond); + /* for x < 2.0 */ + VECTOR_ELSEIF(ix<0x40000000, cond) + VECTOR_IF2(ix<=0x3feccccc, cond2, cond) + /* lgamma(x) = lgamma(x+1)-log(x) */ + r = -v64df_log_aux(x, __mask); + VECTOR_IF2(ix>=0x3FE76944, cond3, cond2) + VECTOR_COND_MOVE(y, one-x, cond3); + VECTOR_COND_MOVE(i, VECTOR_INIT(0), cond3); + VECTOR_ELSEIF2(ix>=0x3FCDA661, cond3, cond2) + VECTOR_COND_MOVE(y, x-(tc-one), cond3); + VECTOR_COND_MOVE(i, VECTOR_INIT(1), cond3); + VECTOR_ELSE2(cond3, cond2) + VECTOR_COND_MOVE(y, x, cond3); + VECTOR_COND_MOVE(i, VECTOR_INIT(2), cond3); + VECTOR_ENDIF + VECTOR_ELSE2(cond2, cond) + VECTOR_COND_MOVE(r, VECTOR_INIT(zero), cond2); + VECTOR_IF2(ix>=0x3FFBB4C3, cond3, cond2) /* [1.7316,2] */ + VECTOR_COND_MOVE(y, VECTOR_INIT(2.0)-x, cond3); + VECTOR_COND_MOVE(i, VECTOR_INIT(0), cond3); + VECTOR_ELSEIF2(ix>=0x3FF3B4C4, cond3, cond2) /* [1.23,1.73] */ + VECTOR_COND_MOVE(y, x-tc, cond3); + VECTOR_COND_MOVE(i, VECTOR_INIT(1), cond3); + VECTOR_ELSE2(cond3, cond2) + VECTOR_COND_MOVE(y, x-one, cond3); + VECTOR_COND_MOVE(i, VECTOR_INIT(2), cond3); + VECTOR_ENDIF + VECTOR_ENDIF + + VECTOR_IF2(i==0, cond2, cond) + VECTOR_COND_MOVE(z, y*y, cond2); + VECTOR_COND_MOVE(p1, a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10)))), cond2); + VECTOR_COND_MOVE(p2, z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11))))), cond2); + VECTOR_COND_MOVE(p, y*p1+p2, cond2); + VECTOR_COND_MOVE(r, r + (p-0.5*y), cond2); + VECTOR_ELSEIF2(i==1, cond2, cond) + VECTOR_COND_MOVE(z, y*y, cond2); + VECTOR_COND_MOVE(w, z*y, cond2); + VECTOR_COND_MOVE(p1, t0+w*(t3+w*(t6+w*(t9 +w*t12))), cond2); /* parallel comp */ + VECTOR_COND_MOVE(p2, t1+w*(t4+w*(t7+w*(t10+w*t13))), cond2); + VECTOR_COND_MOVE(p3, t2+w*(t5+w*(t8+w*(t11+w*t14))), cond2); + VECTOR_COND_MOVE(p, z*p1-(tt-w*(p2+y*p3)), cond2); + VECTOR_COND_MOVE(r, r + (tf + p), cond2); + VECTOR_ELSEIF2(i==2, cond2, cond) + VECTOR_COND_MOVE(p1, y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5))))), cond2); + VECTOR_COND_MOVE(p2, one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5)))), cond2); + VECTOR_COND_MOVE(r, r + (-0.5*y + p1/p2), cond2); + VECTOR_ENDIF + VECTOR_ELSEIF(ix<0x40200000, cond) + /* x < 8.0 */ + VECTOR_COND_MOVE(i, __builtin_convertvector(x, v64si), cond); + VECTOR_COND_MOVE(t, VECTOR_INIT(zero), cond); + VECTOR_COND_MOVE(y, x-__builtin_convertvector(i, v64df), cond); + VECTOR_COND_MOVE(p, y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6)))))), cond); + VECTOR_COND_MOVE(q, one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6))))), cond); + VECTOR_COND_MOVE(r, half*y+p/q, cond); + VECTOR_COND_MOVE(z, VECTOR_INIT(one), cond); /* lgamma(1+s) = log(s) + lgamma(s) */ + VECTOR_IF2(i==7, cond2, cond) + VECTOR_COND_MOVE(z, z * (y+6.0), cond2); + VECTOR_ENDIF + VECTOR_IF2(i==7 | i==6, cond2, cond) + VECTOR_COND_MOVE(z, z * (y+5.0), cond2); + VECTOR_ENDIF + VECTOR_IF2(i<=7 & i>=5, cond2, cond) + VECTOR_COND_MOVE(z, z * (y+4.0), cond2); + VECTOR_ENDIF + VECTOR_IF2(i<=7 & i>=4, cond2, cond) + VECTOR_COND_MOVE(z, z * (y+3.0), cond2); + VECTOR_ENDIF + VECTOR_IF2(i<=7 & i>=3, cond2, cond) + VECTOR_COND_MOVE(z, z * (y+2.0), cond2); + VECTOR_COND_MOVE(r, r + v64df_log_aux(z, __mask), cond2); + VECTOR_ENDIF + /* 8.0 <= x < 2**58 */ + VECTOR_ELSEIF(ix < 0x43900000, cond) + VECTOR_COND_MOVE(t, v64df_log_aux(x, __mask), cond); + VECTOR_COND_MOVE(z, one/x, cond); + VECTOR_COND_MOVE(y, z*z, cond); + VECTOR_COND_MOVE(w, w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6))))), cond); + VECTOR_COND_MOVE(r, (x-half)*(t-one)+w, cond); + VECTOR_ELSE(cond) + /* 2**58 <= x <= inf */ + VECTOR_COND_MOVE(r, x*(v64df_log_aux(x, __mask)-one), cond); + VECTOR_ENDIF + VECTOR_IF(hx<0, cond) + VECTOR_COND_MOVE(r, nadj - r, cond); + VECTOR_ENDIF + + VECTOR_RETURN(r, NO_COND); + FUNCTION_RETURN; +} + +#endif |