[fusl] clang-format fusl

fusl/src/math/lgamma_r.c

 /* origin: FreeBSD /usr/src/lib/msun/src/e_lgamma_r.c */
 /*
  * ====================================================
  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
  *
  * Developed at SunSoft, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
  * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
@@ skipping 63 matching lines @@
  *              lgamma(x) ~ -log(|x|) for tiny x
  *              lgamma(0) = lgamma(neg.integer) = inf and raise divide-by-zero
  *              lgamma(inf) = inf
  *              lgamma(-inf) = inf (bug for bug compatible with C99!?)
  *
  */
 
 #include "libm.h"
 #include "libc.h"
 
-static const double
-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 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 */
 
 /* sin(pi*x) assuming x > 2^-100, if sin(pi*x)==0 the sign is arbitrary */
-static double sin_pi(double x)
-{
-        int n;
-
-        /* spurious inexact if odd int */
-        x = 2.0*(x*0.5 - floor(x*0.5));  /* x mod 2.0 */
-
-        n = (int)(x*4.0);
-        n = (n+1)/2;
-        x -= n*0.5f;
-        x *= pi;
-
-        switch (n) {
-        default: /* case 4: */
-        case 0: return __sin(x, 0.0, 0);
-        case 1: return __cos(x, 0.0);
-        case 2: return __sin(-x, 0.0, 0);
-        case 3: return -__cos(x, 0.0);
-        }
+static double sin_pi(double x) {
+  int n;
+
+  /* spurious inexact if odd int */
+  x = 2.0 * (x * 0.5 - floor(x * 0.5)); /* x mod 2.0 */
+
+  n = (int)(x * 4.0);
+  n = (n + 1) / 2;
+  x -= n * 0.5f;
+  x *= pi;
+
+  switch (n) {
+    default: /* case 4: */
+    case 0:
+      return __sin(x, 0.0, 0);
+    case 1:
+      return __cos(x, 0.0);
+    case 2:
+      return __sin(-x, 0.0, 0);
+    case 3:
+      return -__cos(x, 0.0);
+  }
 }
 
-double __lgamma_r(double x, int *signgamp)
-{
-        union {double f; uint64_t i;} u = {x};
-        double_t t,y,z,nadj,p,p1,p2,p3,q,r,w;
-        uint32_t ix;
-        int sign,i;
-
-        /* purge off +-inf, NaN, +-0, tiny and negative arguments */
-        *signgamp = 1;
-        sign = u.i>>63;
-        ix = u.i>>32 & 0x7fffffff;
-        if (ix >= 0x7ff00000)
-                return x*x;
-        if (ix < (0x3ff-70)<<20) {  /* |x|<2**-70, return -log(|x|) */
-                if(sign) {
-                        x = -x;
-                        *signgamp = -1;
-                }
-                return -log(x);
-        }
-        if (sign) {
-                x = -x;
-                t = sin_pi(x);
-                if (t == 0.0) /* -integer */
-                        return 1.0/(x-x);
-                if (t > 0.0)
-                        *signgamp = -1;
-                else
-                        t = -t;
-                nadj = log(pi/(t*x));
-        }
-
-        /* purge off 1 and 2 */
-        if ((ix == 0x3ff00000 || ix == 0x40000000) && (uint32_t)u.i == 0)
-                r = 0;
-        /* for x < 2.0 */
-        else if (ix < 0x40000000) {
-                if (ix <= 0x3feccccc) {   /* lgamma(x) = lgamma(x+1)-log(x) */
-                        r = -log(x);
-                        if (ix >= 0x3FE76944) {
-                                y = 1.0 - x;
-                                i = 0;
-                        } else if (ix >= 0x3FCDA661) {
-                                y = x - (tc-1.0);
-                                i = 1;
-                        } else {
-                                y = x;
-                                i = 2;
-                        }
-                } else {
-                        r = 0.0;
-                        if (ix >= 0x3FFBB4C3) {  /* [1.7316,2] */
-                                y = 2.0 - x;
-                                i = 0;
-                        } else if(ix >= 0x3FF3B4C4) {  /* [1.23,1.73] */
-                                y = x - tc;
-                                i = 1;
-                        } else {
-                                y = x - 1.0;
-                                i = 2;
-                        }
-                }
-                switch (i) {
-                case 0:
-                        z = y*y;
-                        p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
-                        p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
-                        p = y*p1+p2;
-                        r += (p-0.5*y);
-                        break;
-                case 1:
-                        z = y*y;
-                        w = z*y;
-                        p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12)));    /* parallel comp */
-                        p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
-                        p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
-                        p = z*p1-(tt-w*(p2+y*p3));
-                        r += tf + p;
-                        break;
-                case 2:
-                        p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
-                        p2 = 1.0+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
-                        r += -0.5*y + p1/p2;
-                }
-        } else if (ix < 0x40200000) {  /* x < 8.0 */
-                i = (int)x;
-                y = x - (double)i;
-                p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
-                q = 1.0+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
-                r = 0.5*y+p/q;
-                z = 1.0;    /* lgamma(1+s) = log(s) + lgamma(s) */
-                switch (i) {
-                case 7: z *= y + 6.0;  /* FALLTHRU */
-                case 6: z *= y + 5.0;  /* FALLTHRU */
-                case 5: z *= y + 4.0;  /* FALLTHRU */
-                case 4: z *= y + 3.0;  /* FALLTHRU */
-                case 3: z *= y + 2.0;  /* FALLTHRU */
-                        r += log(z);
-                        break;
-                }
-        } else if (ix < 0x43900000) {  /* 8.0 <= x < 2**58 */
-                t = log(x);
-                z = 1.0/x;
-                y = z*z;
-                w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
-                r = (x-0.5)*(t-1.0)+w;
-        } else                         /* 2**58 <= x <= inf */
-                r =  x*(log(x)-1.0);
-        if (sign)
-                r = nadj - r;
-        return r;
+double __lgamma_r(double x, int* signgamp) {
+  union {
+    double f;
+    uint64_t i;
+  } u = {x};
+  double_t t, y, z, nadj, p, p1, p2, p3, q, r, w;
+  uint32_t ix;
+  int sign, i;
+
+  /* purge off +-inf, NaN, +-0, tiny and negative arguments */
+  *signgamp = 1;
+  sign = u.i >> 63;
+  ix = u.i >> 32 & 0x7fffffff;
+  if (ix >= 0x7ff00000)
+    return x * x;
+  if (ix < (0x3ff - 70) << 20) { /* |x|<2**-70, return -log(|x|) */
+    if (sign) {
+      x = -x;
+      *signgamp = -1;
+    }
+    return -log(x);
+  }
+  if (sign) {
+    x = -x;
+    t = sin_pi(x);
+    if (t == 0.0) /* -integer */
+      return 1.0 / (x - x);
+    if (t > 0.0)
+      *signgamp = -1;
+    else
+      t = -t;
+    nadj = log(pi / (t * x));
+  }
+
+  /* purge off 1 and 2 */
+  if ((ix == 0x3ff00000 || ix == 0x40000000) && (uint32_t)u.i == 0)
+    r = 0;
+  /* for x < 2.0 */
+  else if (ix < 0x40000000) {
+    if (ix <= 0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */
+      r = -log(x);
+      if (ix >= 0x3FE76944) {
+        y = 1.0 - x;
+        i = 0;
+      } else if (ix >= 0x3FCDA661) {
+        y = x - (tc - 1.0);
+        i = 1;
+      } else {
+        y = x;
+        i = 2;
+      }
+    } else {
+      r = 0.0;
+      if (ix >= 0x3FFBB4C3) { /* [1.7316,2] */
+        y = 2.0 - x;
+        i = 0;
+      } else if (ix >= 0x3FF3B4C4) { /* [1.23,1.73] */
+        y = x - tc;
+        i = 1;
+      } else {
+        y = x - 1.0;
+        i = 2;
+      }
+    }
+    switch (i) {
+      case 0:
+        z = y * y;
+        p1 = a0 + z * (a2 + z * (a4 + z * (a6 + z * (a8 + z * a10))));
+        p2 = z * (a1 + z * (a3 + z * (a5 + z * (a7 + z * (a9 + z * a11)))));
+        p = y * p1 + p2;
+        r += (p - 0.5 * y);
+        break;
+      case 1:
+        z = y * y;
+        w = z * y;
+        p1 = t0 + w * (t3 + w * (t6 + w * (t9 + w * t12))); /* parallel comp */
+        p2 = t1 + w * (t4 + w * (t7 + w * (t10 + w * t13)));
+        p3 = t2 + w * (t5 + w * (t8 + w * (t11 + w * t14)));
+        p = z * p1 - (tt - w * (p2 + y * p3));
+        r += tf + p;
+        break;
+      case 2:
+        p1 = y * (u0 + y * (u1 + y * (u2 + y * (u3 + y * (u4 + y * u5)))));
+        p2 = 1.0 + y * (v1 + y * (v2 + y * (v3 + y * (v4 + y * v5))));
+        r += -0.5 * y + p1 / p2;
+    }
+  } else if (ix < 0x40200000) { /* x < 8.0 */
+    i = (int)x;
+    y = x - (double)i;
+    p = y *
+        (s0 + y * (s1 + y * (s2 + y * (s3 + y * (s4 + y * (s5 + y * s6))))));
+    q = 1.0 + y * (r1 + y * (r2 + y * (r3 + y * (r4 + y * (r5 + y * r6)))));
+    r = 0.5 * y + p / q;
+    z = 1.0; /* lgamma(1+s) = log(s) + lgamma(s) */
+    switch (i) {
+      case 7:
+        z *= y + 6.0; /* FALLTHRU */
+      case 6:
+        z *= y + 5.0; /* FALLTHRU */
+      case 5:
+        z *= y + 4.0; /* FALLTHRU */
+      case 4:
+        z *= y + 3.0; /* FALLTHRU */
+      case 3:
+        z *= y + 2.0; /* FALLTHRU */
+        r += log(z);
+        break;
+    }
+  } else if (ix < 0x43900000) { /* 8.0 <= x < 2**58 */
+    t = log(x);
+    z = 1.0 / x;
+    y = z * z;
+    w = w0 + z * (w1 + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * w6)))));
+    r = (x - 0.5) * (t - 1.0) + w;
+  } else /* 2**58 <= x <= inf */
+    r = x * (log(x) - 1.0);
+  if (sign)
+    r = nadj - r;
+  return r;
 }
 
 weak_alias(__lgamma_r, lgamma_r);