/*
 * Copyright 2023 Siemens
 *
 * The authors hereby grant permission to use, copy, modify, distribute,
 * and license this software and its documentation for any purpose, provided
 * that existing copyright notices are retained in all copies and that this
 * notice is included verbatim in any distributions.  No written agreement,
 * license, or royalty fee is required for any of the authorized uses.
 * Modifications to this software may be copyrighted by their authors
 * and need not follow the licensing terms described here, provided that
 * the new terms are clearly indicated on the first page of each file where
 * they apply.
 */

/*
 * ====================================================
 * 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/erf_lgamma.c in Newlib.  */

#include "amdgcnmach.h"

static const float two23=  8.3886080000e+06, /* 0x4b000000 */
half=  5.0000000000e-01, /* 0x3f000000 */
one =  1.0000000000e+00, /* 0x3f800000 */
pi  =  3.1415927410e+00, /* 0x40490fdb */
a0  =  7.7215664089e-02, /* 0x3d9e233f */
a1  =  3.2246702909e-01, /* 0x3ea51a66 */
a2  =  6.7352302372e-02, /* 0x3d89f001 */
a3  =  2.0580807701e-02, /* 0x3ca89915 */
a4  =  7.3855509982e-03, /* 0x3bf2027e */
a5  =  2.8905137442e-03, /* 0x3b3d6ec6 */
a6  =  1.1927076848e-03, /* 0x3a9c54a1 */
a7  =  5.1006977446e-04, /* 0x3a05b634 */
a8  =  2.2086278477e-04, /* 0x39679767 */
a9  =  1.0801156895e-04, /* 0x38e28445 */
a10 =  2.5214456400e-05, /* 0x37d383a2 */
a11 =  4.4864096708e-05, /* 0x383c2c75 */
tc  =  1.4616321325e+00, /* 0x3fbb16c3 */
tf  = -1.2148628384e-01, /* 0xbdf8cdcd */
/* tt = -(tail of tf) */
tt  =  6.6971006518e-09, /* 0x31e61c52 */
t0  =  4.8383611441e-01, /* 0x3ef7b95e */
t1  = -1.4758771658e-01, /* 0xbe17213c */
t2  =  6.4624942839e-02, /* 0x3d845a15 */
t3  = -3.2788541168e-02, /* 0xbd064d47 */
t4  =  1.7970675603e-02, /* 0x3c93373d */
t5  = -1.0314224288e-02, /* 0xbc28fcfe */
t6  =  6.1005386524e-03, /* 0x3bc7e707 */
t7  = -3.6845202558e-03, /* 0xbb7177fe */
t8  =  2.2596477065e-03, /* 0x3b141699 */
t9  = -1.4034647029e-03, /* 0xbab7f476 */
t10 =  8.8108185446e-04, /* 0x3a66f867 */
t11 = -5.3859531181e-04, /* 0xba0d3085 */
t12 =  3.1563205994e-04, /* 0x39a57b6b */
t13 = -3.1275415677e-04, /* 0xb9a3f927 */
t14 =  3.3552918467e-04, /* 0x39afe9f7 */
u0  = -7.7215664089e-02, /* 0xbd9e233f */
u1  =  6.3282704353e-01, /* 0x3f2200f4 */
u2  =  1.4549225569e+00, /* 0x3fba3ae7 */
u3  =  9.7771751881e-01, /* 0x3f7a4bb2 */
u4  =  2.2896373272e-01, /* 0x3e6a7578 */
u5  =  1.3381091878e-02, /* 0x3c5b3c5e */
v1  =  2.4559779167e+00, /* 0x401d2ebe */
v2  =  2.1284897327e+00, /* 0x4008392d */
v3  =  7.6928514242e-01, /* 0x3f44efdf */
v4  =  1.0422264785e-01, /* 0x3dd572af */
v5  =  3.2170924824e-03, /* 0x3b52d5db */
s0  = -7.7215664089e-02, /* 0xbd9e233f */
s1  =  2.1498242021e-01, /* 0x3e5c245a */
s2  =  3.2577878237e-01, /* 0x3ea6cc7a */
s3  =  1.4635047317e-01, /* 0x3e15dce6 */
s4  =  2.6642270386e-02, /* 0x3cda40e4 */
s5  =  1.8402845599e-03, /* 0x3af135b4 */
s6  =  3.1947532989e-05, /* 0x3805ff67 */
r1  =  1.3920053244e+00, /* 0x3fb22d3b */
r2  =  7.2193557024e-01, /* 0x3f38d0c5 */
r3  =  1.7193385959e-01, /* 0x3e300f6e */
r4  =  1.8645919859e-02, /* 0x3c98bf54 */
r5  =  7.7794247773e-04, /* 0x3a4beed6 */
r6  =  7.3266842264e-06, /* 0x36f5d7bd */
w0  =  4.1893854737e-01, /* 0x3ed67f1d */
w1  =  8.3333335817e-02, /* 0x3daaaaab */
w2  = -2.7777778450e-03, /* 0xbb360b61 */
w3  =  7.9365057172e-04, /* 0x3a500cfd */
w4  = -5.9518753551e-04, /* 0xba1c065c */
w5  =  8.3633989561e-04, /* 0x3a5b3dd2 */
w6  = -1.6309292987e-03; /* 0xbad5c4e8 */
static const float zero=  0.0000000000e+00;

v64sf v64sf_cosf_aux (v64sf x, v64si __mask);
v64sf v64sf_logf_aux (v64sf x, v64si __mask);
v64sf v64sf_sinf_aux (v64sf x, v64si __mask);

#if defined (__has_builtin) \
        && __has_builtin (__builtin_gcn_floorvf) \
        && __has_builtin (__builtin_gcn_fabsvf)

static v64sf
v64sf_sin_pif (v64sf x)
{
  // Explicitly create mask for internal function.
  v64si __mask = VECTOR_INIT (-1);
  FUNCTION_INIT (v64sf);

  v64sf y, z;
  v64si n, ix;

  GET_FLOAT_WORD (ix, x, NO_COND);
  ix &= 0x7fffffff;

  VECTOR_IF (ix < 0x3e800000, cond)
    VECTOR_RETURN (v64sf_sinf_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_floorvf (y);
  VECTOR_IF (z != y, cond)
    /* inexact anyway */
    VECTOR_COND_MOVE(y, y * 0.5F, cond);
    VECTOR_COND_MOVE(y, 2.0F * (y - __builtin_gcn_floorvf (y)), cond); /* y = |x| mod 2.0 */
    VECTOR_COND_MOVE(n, __builtin_convertvector(y * 4.0F, v64si), cond);
  VECTOR_ELSE (cond)
    VECTOR_IF2 (ix >= 0x4b800000, 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 + two23 /* exact */, cond2 & (ix < 0x4b000000));
      GET_FLOAT_WORD (n, z, cond2);
      VECTOR_COND_MOVE(n, n & 1, cond2);
      VECTOR_COND_MOVE(y, __builtin_convertvector(n, v64sf), cond2);
      VECTOR_COND_MOVE(n, n << 2, cond2);
    VECTOR_ENDIF
  VECTOR_ENDIF
    
  VECTOR_IF (n == 0, cond)
    VECTOR_COND_MOVE(y, v64sf_sinf_aux (pi * y, __mask), cond);
  VECTOR_ELSEIF (n == 1 | n == 2, cond)
    VECTOR_COND_MOVE(y, v64sf_cosf_aux (pi * (0.5F - y), __mask), cond);
  VECTOR_ELSEIF (n == 3 | n == 4, cond)
    VECTOR_COND_MOVE(y, v64sf_sinf_aux (pi * (VECTOR_INIT(one) - y), __mask), cond);
  VECTOR_ELSEIF (n == 5 | n == 6, cond)
    VECTOR_COND_MOVE(y, -v64sf_cosf_aux (pi * (y - 1.5F), __mask), cond);
  VECTOR_ELSE (cond)
    VECTOR_COND_MOVE(y, v64sf_sinf_aux (pi * (y - 2.0F), __mask), cond);
  VECTOR_ENDIF

  VECTOR_RETURN(-y, NO_COND);
  FUNCTION_RETURN;
}

DEF_VS_MATH_FUNC (v64sf, lgammaf_r, v64sf x, v64si *signgamp)
{
  FUNCTION_INIT (v64sf);

  v64sf t,y,z,nadj = VECTOR_INIT(0.0F),p,p1,p2,p3,q,r,w;
  v64si i,hx,ix;

  GET_FLOAT_WORD(hx,x,NO_COND);

  /* purge off +-inf, NaN, +-0, and negative arguments */
  *signgamp = VECTOR_INIT(1);
  ix = hx&0x7fffffff;
  VECTOR_IF(ix>=0x7f800000, cond)
    VECTOR_RETURN (x*x, cond);
  VECTOR_ENDIF
  VECTOR_IF(ix==0, cond)
    VECTOR_COND_MOVE(*signgamp, VECTOR_INIT(-1), cond & (hx<0));
    VECTOR_RETURN(one/(x-x), cond);
  VECTOR_ENDIF
  VECTOR_IF (ix < 0x30800000, cond) /* |x|<2**-30, return -log(|x|) */
    VECTOR_IF2(hx<0, cond2, cond)
      VECTOR_COND_MOVE(*signgamp, VECTOR_INIT(-1), cond);
      VECTOR_RETURN (-v64sf_logf_aux(-x, __mask), cond2);
    VECTOR_ELSE2(cond2, cond)
      VECTOR_RETURN (-v64sf_logf_aux(x, __mask), cond2);
    VECTOR_ENDIF
  VECTOR_ENDIF
  VECTOR_IF (hx < 0, cond)
    VECTOR_IF2(ix>=0x4b000000, cond2, cond) /* |x|>=2**23, must be -integer */
      VECTOR_RETURN(one/(x-x), cond2);
    VECTOR_ENDIF
    VECTOR_COND_MOVE (t, v64sf_sin_pif (x), cond);
    VECTOR_IF2(t==zero, cond2, cond)
      /* tgamma wants NaN instead of INFINITY */
      VECTOR_RETURN(one/(x-x), cond2); /* -integer */
    VECTOR_ENDIF
    VECTOR_COND_MOVE(nadj, v64sf_logf_aux(VECTOR_INIT(pi)/__builtin_gcn_fabsvf(t*x), __mask), cond);
    VECTOR_COND_MOVE(*signgamp, VECTOR_INIT(-1), cond & (t < zero));
    VECTOR_COND_MOVE(x, -x, cond);
  VECTOR_ENDIF
        
  /* purge off 1 and 2 */
  VECTOR_IF(ix==0x3f800000|ix==0x40000000, cond)
    VECTOR_COND_MOVE(r, VECTOR_INIT(0.0F), cond);
    /* for x < 2.0 */
  VECTOR_ELSEIF(ix<0x40000000, cond)
    VECTOR_IF2(ix<=0x3f666666, cond2, cond)
      /* lgamma(x) = lgamma(x+1)-log(x) */
      r = -v64sf_logf_aux(x, __mask);
      VECTOR_IF2(ix>=0x3f3b4a20, cond3, cond2)
        VECTOR_COND_MOVE(y, one-x, cond3);
        VECTOR_COND_MOVE(i, VECTOR_INIT(0), cond3);
      VECTOR_ELSEIF2(ix>=0x3e6d3308, 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>=0x3fdda618, cond3, cond2) /* [1.7316,2] */
        VECTOR_COND_MOVE(y, VECTOR_INIT(2.0F)-x, cond3);
        VECTOR_COND_MOVE(i, VECTOR_INIT(0), cond3);
      VECTOR_ELSEIF2(ix>=0x3F9da620, 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-(float)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 + (-(float)0.5*y + p1/p2), cond2);
    VECTOR_ENDIF
  VECTOR_ELSEIF(ix<0x41000000, 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, v64sf), 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+(float)6.0), cond2);
    VECTOR_ENDIF
    VECTOR_IF2(i==7 | i==6, cond2, cond)
      VECTOR_COND_MOVE(z, z * (y+(float)5.0), cond2);
    VECTOR_ENDIF
    VECTOR_IF2(i<=7 & i>=5, cond2, cond)
      VECTOR_COND_MOVE(z, z * (y+(float)4.0), cond2);
    VECTOR_ENDIF
    VECTOR_IF2(i<=7 & i>=4, cond2, cond)
      VECTOR_COND_MOVE(z, z * (y+(float)3.0), cond2);
    VECTOR_ENDIF
    VECTOR_IF2(i<=7 & i>=3, cond2, cond)
      VECTOR_COND_MOVE(z, z * (y+(float)2.0), cond2);
      VECTOR_COND_MOVE(r, r + v64sf_logf_aux(z, __mask), cond2);
    VECTOR_ENDIF
    /* 8.0 <= x < 2**58 */
  VECTOR_ELSEIF(ix < 0x5c800000, cond)
    VECTOR_COND_MOVE(t, v64sf_logf_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*(v64sf_logf_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