[fusl] clang-format fusl

fusl/src/math/lgammal.c

 /* origin: OpenBSD /usr/src/lib/libm/src/ld80/e_lgammal.c */
 /*
  * ====================================================
  * 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.
  * ====================================================
@@ skipping 72 matching lines @@
  *              lgamma(0) = lgamma(inf) = inf
  *              lgamma(-integer) = +-inf
  *
  */
 
 #define _GNU_SOURCE
 #include "libm.h"
 #include "libc.h"
 
 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
-double __lgamma_r(double x, int *sg);
-
-long double __lgammal_r(long double x, int *sg)
-{
-        return __lgamma_r(x, sg);
+double __lgamma_r(double x, int* sg);
+
+long double __lgammal_r(long double x, int* sg) {
+  return __lgamma_r(x, sg);
 }
 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
 static const long double
-pi = 3.14159265358979323846264L,
-
-/* lgam(1+x) = 0.5 x + x a(x)/b(x)
-    -0.268402099609375 <= x <= 0
-    peak relative error 6.6e-22 */
-a0 = -6.343246574721079391729402781192128239938E2L,
-a1 =  1.856560238672465796768677717168371401378E3L,
-a2 =  2.404733102163746263689288466865843408429E3L,
-a3 =  8.804188795790383497379532868917517596322E2L,
-a4 =  1.135361354097447729740103745999661157426E2L,
-a5 =  3.766956539107615557608581581190400021285E0L,
-
-b0 =  8.214973713960928795704317259806842490498E3L,
-b1 =  1.026343508841367384879065363925870888012E4L,
-b2 =  4.553337477045763320522762343132210919277E3L,
-b3 =  8.506975785032585797446253359230031874803E2L,
-b4 =  6.042447899703295436820744186992189445813E1L,
-/* b5 =  1.000000000000000000000000000000000000000E0 */
-
-
-tc =  1.4616321449683623412626595423257213284682E0L,
-tf = -1.2148629053584961146050602565082954242826E-1, /* double precision */
-/* tt = (tail of tf), i.e. tf + tt has extended precision. */
-tt = 3.3649914684731379602768989080467587736363E-18L,
-/* lgam ( 1.4616321449683623412626595423257213284682E0 ) =
--1.2148629053584960809551455717769158215135617312999903886372437313313530E-1 */
-
-/* lgam (x + tc) = tf + tt + x g(x)/h(x)
-    -0.230003726999612341262659542325721328468 <= x
-       <= 0.2699962730003876587373404576742786715318
-     peak relative error 2.1e-21 */
-g0 = 3.645529916721223331888305293534095553827E-18L,
-g1 = 5.126654642791082497002594216163574795690E3L,
-g2 = 8.828603575854624811911631336122070070327E3L,
-g3 = 5.464186426932117031234820886525701595203E3L,
-g4 = 1.455427403530884193180776558102868592293E3L,
-g5 = 1.541735456969245924860307497029155838446E2L,
-g6 = 4.335498275274822298341872707453445815118E0L,
-
-h0 = 1.059584930106085509696730443974495979641E4L,
-h1 = 2.147921653490043010629481226937850618860E4L,
-h2 = 1.643014770044524804175197151958100656728E4L,
-h3 = 5.869021995186925517228323497501767586078E3L,
-h4 = 9.764244777714344488787381271643502742293E2L,
-h5 = 6.442485441570592541741092969581997002349E1L,
-/* h6 = 1.000000000000000000000000000000000000000E0 */
-
-
-/* lgam (x+1) = -0.5 x + x u(x)/v(x)
-    -0.100006103515625 <= x <= 0.231639862060546875
-    peak relative error 1.3e-21 */
-u0 = -8.886217500092090678492242071879342025627E1L,
-u1 =  6.840109978129177639438792958320783599310E2L,
-u2 =  2.042626104514127267855588786511809932433E3L,
-u3 =  1.911723903442667422201651063009856064275E3L,
-u4 =  7.447065275665887457628865263491667767695E2L,
-u5 =  1.132256494121790736268471016493103952637E2L,
-u6 =  4.484398885516614191003094714505960972894E0L,
-
-v0 =  1.150830924194461522996462401210374632929E3L,
-v1 =  3.399692260848747447377972081399737098610E3L,
-v2 =  3.786631705644460255229513563657226008015E3L,
-v3 =  1.966450123004478374557778781564114347876E3L,
-v4 =  4.741359068914069299837355438370682773122E2L,
-v5 =  4.508989649747184050907206782117647852364E1L,
-/* v6 =  1.000000000000000000000000000000000000000E0 */
-
-
-/* lgam (x+2) = .5 x + x s(x)/r(x)
-     0 <= x <= 1
-     peak relative error 7.2e-22 */
-s0 =  1.454726263410661942989109455292824853344E6L,
-s1 = -3.901428390086348447890408306153378922752E6L,
-s2 = -6.573568698209374121847873064292963089438E6L,
-s3 = -3.319055881485044417245964508099095984643E6L,
-s4 = -7.094891568758439227560184618114707107977E5L,
-s5 = -6.263426646464505837422314539808112478303E4L,
-s6 = -1.684926520999477529949915657519454051529E3L,
-
-r0 = -1.883978160734303518163008696712983134698E7L,
-r1 = -2.815206082812062064902202753264922306830E7L,
-r2 = -1.600245495251915899081846093343626358398E7L,
-r3 = -4.310526301881305003489257052083370058799E6L,
-r4 = -5.563807682263923279438235987186184968542E5L,
-r5 = -3.027734654434169996032905158145259713083E4L,
-r6 = -4.501995652861105629217250715790764371267E2L,
-/* r6 =  1.000000000000000000000000000000000000000E0 */
-
-
-/* lgam(x) = ( x - 0.5 ) * log(x) - x + LS2PI + 1/x w(1/x^2)
-    x >= 8
-    Peak relative error 1.51e-21
-w0 = LS2PI - 0.5 */
-w0 =  4.189385332046727417803e-1L,
-w1 =  8.333333333333331447505E-2L,
-w2 = -2.777777777750349603440E-3L,
-w3 =  7.936507795855070755671E-4L,
-w4 = -5.952345851765688514613E-4L,
-w5 =  8.412723297322498080632E-4L,
-w6 = -1.880801938119376907179E-3L,
-w7 =  4.885026142432270781165E-3L;
+    pi = 3.14159265358979323846264L,
+
+    /* lgam(1+x) = 0.5 x + x a(x)/b(x)
+        -0.268402099609375 <= x <= 0
+        peak relative error 6.6e-22 */
+    a0 = -6.343246574721079391729402781192128239938E2L,
+    a1 = 1.856560238672465796768677717168371401378E3L,
+    a2 = 2.404733102163746263689288466865843408429E3L,
+    a3 = 8.804188795790383497379532868917517596322E2L,
+    a4 = 1.135361354097447729740103745999661157426E2L,
+    a5 = 3.766956539107615557608581581190400021285E0L,
+
+    b0 = 8.214973713960928795704317259806842490498E3L,
+    b1 = 1.026343508841367384879065363925870888012E4L,
+    b2 = 4.553337477045763320522762343132210919277E3L,
+    b3 = 8.506975785032585797446253359230031874803E2L,
+    b4 = 6.042447899703295436820744186992189445813E1L,
+    /* b5 =  1.000000000000000000000000000000000000000E0 */
+
+    tc = 1.4616321449683623412626595423257213284682E0L,
+    tf = -1.2148629053584961146050602565082954242826E-1, /* double precision */
+    /* tt = (tail of tf), i.e. tf + tt has extended precision. */
+    tt = 3.3649914684731379602768989080467587736363E-18L,
+    /* lgam ( 1.4616321449683623412626595423257213284682E0 ) =
+    -1.2148629053584960809551455717769158215135617312999903886372437313313530E-1
+    */
+
+    /* lgam (x + tc) = tf + tt + x g(x)/h(x)
+        -0.230003726999612341262659542325721328468 <= x
+           <= 0.2699962730003876587373404576742786715318
+         peak relative error 2.1e-21 */
+    g0 = 3.645529916721223331888305293534095553827E-18L,
+    g1 = 5.126654642791082497002594216163574795690E3L,
+    g2 = 8.828603575854624811911631336122070070327E3L,
+    g3 = 5.464186426932117031234820886525701595203E3L,
+    g4 = 1.455427403530884193180776558102868592293E3L,
+    g5 = 1.541735456969245924860307497029155838446E2L,
+    g6 = 4.335498275274822298341872707453445815118E0L,
+
+    h0 = 1.059584930106085509696730443974495979641E4L,
+    h1 = 2.147921653490043010629481226937850618860E4L,
+    h2 = 1.643014770044524804175197151958100656728E4L,
+    h3 = 5.869021995186925517228323497501767586078E3L,
+    h4 = 9.764244777714344488787381271643502742293E2L,
+    h5 = 6.442485441570592541741092969581997002349E1L,
+    /* h6 = 1.000000000000000000000000000000000000000E0 */
+
+    /* lgam (x+1) = -0.5 x + x u(x)/v(x)
+        -0.100006103515625 <= x <= 0.231639862060546875
+        peak relative error 1.3e-21 */
+    u0 = -8.886217500092090678492242071879342025627E1L,
+    u1 = 6.840109978129177639438792958320783599310E2L,
+    u2 = 2.042626104514127267855588786511809932433E3L,
+    u3 = 1.911723903442667422201651063009856064275E3L,
+    u4 = 7.447065275665887457628865263491667767695E2L,
+    u5 = 1.132256494121790736268471016493103952637E2L,
+    u6 = 4.484398885516614191003094714505960972894E0L,
+
+    v0 = 1.150830924194461522996462401210374632929E3L,
+    v1 = 3.399692260848747447377972081399737098610E3L,
+    v2 = 3.786631705644460255229513563657226008015E3L,
+    v3 = 1.966450123004478374557778781564114347876E3L,
+    v4 = 4.741359068914069299837355438370682773122E2L,
+    v5 = 4.508989649747184050907206782117647852364E1L,
+    /* v6 =  1.000000000000000000000000000000000000000E0 */
+
+    /* lgam (x+2) = .5 x + x s(x)/r(x)
+         0 <= x <= 1
+         peak relative error 7.2e-22 */
+    s0 = 1.454726263410661942989109455292824853344E6L,
+    s1 = -3.901428390086348447890408306153378922752E6L,
+    s2 = -6.573568698209374121847873064292963089438E6L,
+    s3 = -3.319055881485044417245964508099095984643E6L,
+    s4 = -7.094891568758439227560184618114707107977E5L,
+    s5 = -6.263426646464505837422314539808112478303E4L,
+    s6 = -1.684926520999477529949915657519454051529E3L,
+
+    r0 = -1.883978160734303518163008696712983134698E7L,
+    r1 = -2.815206082812062064902202753264922306830E7L,
+    r2 = -1.600245495251915899081846093343626358398E7L,
+    r3 = -4.310526301881305003489257052083370058799E6L,
+    r4 = -5.563807682263923279438235987186184968542E5L,
+    r5 = -3.027734654434169996032905158145259713083E4L,
+    r6 = -4.501995652861105629217250715790764371267E2L,
+    /* r6 =  1.000000000000000000000000000000000000000E0 */
+
+    /* lgam(x) = ( x - 0.5 ) * log(x) - x + LS2PI + 1/x w(1/x^2)
+        x >= 8
+        Peak relative error 1.51e-21
+    w0 = LS2PI - 0.5 */
+    w0 = 4.189385332046727417803e-1L, w1 = 8.333333333333331447505E-2L,
+    w2 = -2.777777777750349603440E-3L, w3 = 7.936507795855070755671E-4L,
+    w4 = -5.952345851765688514613E-4L, w5 = 8.412723297322498080632E-4L,
+    w6 = -1.880801938119376907179E-3L, w7 = 4.885026142432270781165E-3L;
 
 /* sin(pi*x) assuming x > 2^-1000, if sin(pi*x)==0 the sign is arbitrary */
-static long double sin_pi(long double x)
-{
-        int n;
-
-        /* spurious inexact if odd int */
-        x *= 0.5;
-        x = 2.0*(x - floorl(x));  /* 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 __sinl(x, 0.0, 0);
-        case 1: return __cosl(x, 0.0);
-        case 2: return __sinl(-x, 0.0, 0);
-        case 3: return -__cosl(x, 0.0);
-        }
-}
-
-long double __lgammal_r(long double x, int *sg) {
-        long double t, y, z, nadj, p, p1, p2, q, r, w;
-        union ldshape u = {x};
-        uint32_t ix = (u.i.se & 0x7fffU)<<16 | u.i.m>>48;
-        int sign = u.i.se >> 15;
-        int i;
-
-        *sg = 1;
-
-        /* purge off +-inf, NaN, +-0, tiny and negative arguments */
-        if (ix >= 0x7fff0000)
-                return x * x;
-        if (ix < 0x3fc08000) {  /* |x|<2**-63, return -log(|x|) */
-                if (sign) {
-                        *sg = -1;
-                        x = -x;
-                }
-                return -logl(x);
-        }
-        if (sign) {
-                x = -x;
-                t = sin_pi(x);
-                if (t == 0.0)
-                        return 1.0 / (x-x); /* -integer */
-                if (t > 0.0)
-                        *sg = -1;
-                else
-                        t = -t;
-                nadj = logl(pi / (t * x));
-        }
-
-        /* purge off 1 and 2 (so the sign is ok with downward rounding) */
-        if ((ix == 0x3fff8000 || ix == 0x40008000) && u.i.m == 0) {
-                r = 0;
-        } else if (ix < 0x40008000) {  /* x < 2.0 */
-                if (ix <= 0x3ffee666) {  /* 8.99993896484375e-1 */
-                        /* lgamma(x) = lgamma(x+1) - log(x) */
-                        r = -logl(x);
-                        if (ix >= 0x3ffebb4a) {  /* 7.31597900390625e-1 */
-                                y = x - 1.0;
-                                i = 0;
-                        } else if (ix >= 0x3ffced33) {  /* 2.31639862060546875e-1 */
-                                y = x - (tc - 1.0);
-                                i = 1;
-                        } else { /* x < 0.23 */
-                                y = x;
-                                i = 2;
-                        }
-                } else {
-                        r = 0.0;
-                        if (ix >= 0x3fffdda6) {  /* 1.73162841796875 */
-                                /* [1.7316,2] */
-                                y = x - 2.0;
-                                i = 0;
-                        } else if (ix >= 0x3fff9da6) {  /* 1.23162841796875 */
-                                /* [1.23,1.73] */
-                                y = x - tc;
-                                i = 1;
-                        } else {
-                                /* [0.9, 1.23] */
-                                y = x - 1.0;
-                                i = 2;
-                        }
-                }
-                switch (i) {
-                case 0:
-                        p1 = a0 + y * (a1 + y * (a2 + y * (a3 + y * (a4 + y * a5))));
-                        p2 = b0 + y * (b1 + y * (b2 + y * (b3 + y * (b4 + y))));
-                        r += 0.5 * y + y * p1/p2;
-                        break;
-                case 1:
-                        p1 = g0 + y * (g1 + y * (g2 + y * (g3 + y * (g4 + y * (g5 + y * g6)))));
-                        p2 = h0 + y * (h1 + y * (h2 + y * (h3 + y * (h4 + y * (h5 + y)))));
-                        p = tt + y * p1/p2;
-                        r += (tf + p);
-                        break;
-                case 2:
-                        p1 = y * (u0 + y * (u1 + y * (u2 + y * (u3 + y * (u4 + y * (u5 + y * u6))))));
-                        p2 = v0 + y * (v1 + y * (v2 + y * (v3 + y * (v4 + y * (v5 + y)))));
-                        r += (-0.5 * y + p1 / p2);
-                }
-        } else if (ix < 0x40028000) {  /* 8.0 */
-                /* 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 = r0 + y * (r1 + y * (r2 + y * (r3 + y * (r4 + y * (r5 + y * (r6 + y))))));
-                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 += logl(z);
-                        break;
-                }
-        } else if (ix < 0x40418000) {  /* 2^66 */
-                /* 8.0 <= x < 2**66 */
-                t = logl(x);
-                z = 1.0 / x;
-                y = z * z;
-                w = w0 + z * (w1 + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * (w6 + y * w7))))));
-                r = (x - 0.5) * (t - 1.0) + w;
-        } else /* 2**66 <= x <= inf */
-                r = x * (logl(x) - 1.0);
-        if (sign)
-                r = nadj - r;
-        return r;
+static long double sin_pi(long double x) {
+  int n;
+
+  /* spurious inexact if odd int */
+  x *= 0.5;
+  x = 2.0 * (x - floorl(x)); /* 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 __sinl(x, 0.0, 0);
+    case 1:
+      return __cosl(x, 0.0);
+    case 2:
+      return __sinl(-x, 0.0, 0);
+    case 3:
+      return -__cosl(x, 0.0);
+  }
+}
+
+long double __lgammal_r(long double x, int* sg) {
+  long double t, y, z, nadj, p, p1, p2, q, r, w;
+  union ldshape u = {x};
+  uint32_t ix = (u.i.se & 0x7fffU) << 16 | u.i.m >> 48;
+  int sign = u.i.se >> 15;
+  int i;
+
+  *sg = 1;
+
+  /* purge off +-inf, NaN, +-0, tiny and negative arguments */
+  if (ix >= 0x7fff0000)
+    return x * x;
+  if (ix < 0x3fc08000) { /* |x|<2**-63, return -log(|x|) */
+    if (sign) {
+      *sg = -1;
+      x = -x;
+    }
+    return -logl(x);
+  }
+  if (sign) {
+    x = -x;
+    t = sin_pi(x);
+    if (t == 0.0)
+      return 1.0 / (x - x); /* -integer */
+    if (t > 0.0)
+      *sg = -1;
+    else
+      t = -t;
+    nadj = logl(pi / (t * x));
+  }
+
+  /* purge off 1 and 2 (so the sign is ok with downward rounding) */
+  if ((ix == 0x3fff8000 || ix == 0x40008000) && u.i.m == 0) {
+    r = 0;
+  } else if (ix < 0x40008000) { /* x < 2.0 */
+    if (ix <= 0x3ffee666) {     /* 8.99993896484375e-1 */
+      /* lgamma(x) = lgamma(x+1) - log(x) */
+      r = -logl(x);
+      if (ix >= 0x3ffebb4a) { /* 7.31597900390625e-1 */
+        y = x - 1.0;
+        i = 0;
+      } else if (ix >= 0x3ffced33) { /* 2.31639862060546875e-1 */
+        y = x - (tc - 1.0);
+        i = 1;
+      } else { /* x < 0.23 */
+        y = x;
+        i = 2;
+      }
+    } else {
+      r = 0.0;
+      if (ix >= 0x3fffdda6) { /* 1.73162841796875 */
+        /* [1.7316,2] */
+        y = x - 2.0;
+        i = 0;
+      } else if (ix >= 0x3fff9da6) { /* 1.23162841796875 */
+        /* [1.23,1.73] */
+        y = x - tc;
+        i = 1;
+      } else {
+        /* [0.9, 1.23] */
+        y = x - 1.0;
+        i = 2;
+      }
+    }
+    switch (i) {
+      case 0:
+        p1 = a0 + y * (a1 + y * (a2 + y * (a3 + y * (a4 + y * a5))));
+        p2 = b0 + y * (b1 + y * (b2 + y * (b3 + y * (b4 + y))));
+        r += 0.5 * y + y * p1 / p2;
+        break;
+      case 1:
+        p1 = g0 + y * (g1 + y * (g2 + y * (g3 + y * (g4 + y * (g5 + y * g6)))));
+        p2 = h0 + y * (h1 + y * (h2 + y * (h3 + y * (h4 + y * (h5 + y)))));
+        p = tt + y * p1 / p2;
+        r += (tf + p);
+        break;
+      case 2:
+        p1 =
+            y * (u0 +
+                 y * (u1 + y * (u2 + y * (u3 + y * (u4 + y * (u5 + y * u6))))));
+        p2 = v0 + y * (v1 + y * (v2 + y * (v3 + y * (v4 + y * (v5 + y)))));
+        r += (-0.5 * y + p1 / p2);
+    }
+  } else if (ix < 0x40028000) { /* 8.0 */
+    /* 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 = r0 +
+        y * (r1 + y * (r2 + y * (r3 + y * (r4 + y * (r5 + y * (r6 + y))))));
+    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 += logl(z);
+        break;
+    }
+  } else if (ix < 0x40418000) { /* 2^66 */
+    /* 8.0 <= x < 2**66 */
+    t = logl(x);
+    z = 1.0 / x;
+    y = z * z;
+    w = w0 +
+        z * (w1 +
+             y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * (w6 + y * w7))))));
+    r = (x - 0.5) * (t - 1.0) + w;
+  } else /* 2**66 <= x <= inf */
+    r = x * (logl(x) - 1.0);
+  if (sign)
+    r = nadj - r;
+  return r;
 }
 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
 // TODO: broken implementation to make things compile
-double __lgamma_r(double x, int *sg);
-
-long double __lgammal_r(long double x, int *sg)
-{
-        return __lgamma_r(x, sg);
+double __lgamma_r(double x, int* sg);
+
+long double __lgammal_r(long double x, int* sg) {
+  return __lgamma_r(x, sg);
 }
 #endif
 
 extern int __signgam;
 
-long double lgammal(long double x)
-{
-        return __lgammal_r(x, &__signgam);
+long double lgammal(long double x) {
+  return __lgammal_r(x, &__signgam);
 }
 
 weak_alias(__lgammal_r, lgammal_r);