msvcrt: Import lgamma implementation from musl.
Signed-off-by: Piotr Caban <piotr@codeweavers.com> Signed-off-by: Alexandre Julliard <julliard@winehq.org>
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@ -19620,7 +19620,6 @@ for ac_func in \
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exp2 \
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exp2f \
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fmaf \
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lgamma \
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lgammaf \
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tgamma \
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tgammaf
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@ -2659,7 +2659,6 @@ AC_CHECK_FUNCS(\
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exp2 \
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exp2f \
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fmaf \
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lgamma \
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lgammaf \
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tgamma \
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tgammaf
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@ -8644,12 +8644,206 @@ end:
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return sx ? -x : x;
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}
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/* sin(pi*x) assuming x > 2^-100, if sin(pi*x)==0 the sign is arbitrary */
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static double sin_pi(double x)
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{
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static const double pi = 3.14159265358979311600e+00;
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int n;
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/* spurious inexact if odd int */
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x = 2.0 * (x * 0.5 - floor(x * 0.5)); /* x mod 2.0 */
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n = (int)(x * 4.0);
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n = (n + 1) / 2;
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x -= n * 0.5f;
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x *= pi;
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switch (n) {
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default: /* case 4: */
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case 0: return __sin(x, 0.0, 0);
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case 1: return __cos(x, 0.0);
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case 2: return __sin(-x, 0.0, 0);
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case 3: return -__cos(x, 0.0);
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}
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}
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/*********************************************************************
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* lgamma (MSVCR120.@)
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*
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* Copied from musl: src/math/lgamma_r.c
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*/
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double CDECL lgamma(double x)
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{
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return unix_funcs->lgamma( x );
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static const double pi = 3.14159265358979311600e+00,
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a0 = 7.72156649015328655494e-02,
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a1 = 3.22467033424113591611e-01,
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a2 = 6.73523010531292681824e-02,
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a3 = 2.05808084325167332806e-02,
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a4 = 7.38555086081402883957e-03,
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a5 = 2.89051383673415629091e-03,
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a6 = 1.19270763183362067845e-03,
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a7 = 5.10069792153511336608e-04,
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a8 = 2.20862790713908385557e-04,
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a9 = 1.08011567247583939954e-04,
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a10 = 2.52144565451257326939e-05,
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a11 = 4.48640949618915160150e-05,
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tc = 1.46163214496836224576e+00,
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tf = -1.21486290535849611461e-01,
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tt = -3.63867699703950536541e-18,
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t0 = 4.83836122723810047042e-01,
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t1 = -1.47587722994593911752e-01,
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t2 = 6.46249402391333854778e-02,
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t3 = -3.27885410759859649565e-02,
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t4 = 1.79706750811820387126e-02,
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t5 = -1.03142241298341437450e-02,
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t6 = 6.10053870246291332635e-03,
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t7 = -3.68452016781138256760e-03,
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t8 = 2.25964780900612472250e-03,
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t9 = -1.40346469989232843813e-03,
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t10 = 8.81081882437654011382e-04,
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t11 = -5.38595305356740546715e-04,
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t12 = 3.15632070903625950361e-04,
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t13 = -3.12754168375120860518e-04,
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t14 = 3.35529192635519073543e-04,
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u0 = -7.72156649015328655494e-02,
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u1 = 6.32827064025093366517e-01,
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u2 = 1.45492250137234768737e+00,
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u3 = 9.77717527963372745603e-01,
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u4 = 2.28963728064692451092e-01,
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u5 = 1.33810918536787660377e-02,
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v1 = 2.45597793713041134822e+00,
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v2 = 2.12848976379893395361e+00,
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v3 = 7.69285150456672783825e-01,
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v4 = 1.04222645593369134254e-01,
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v5 = 3.21709242282423911810e-03,
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s0 = -7.72156649015328655494e-02,
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s1 = 2.14982415960608852501e-01,
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s2 = 3.25778796408930981787e-01,
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s3 = 1.46350472652464452805e-01,
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s4 = 2.66422703033638609560e-02,
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s5 = 1.84028451407337715652e-03,
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s6 = 3.19475326584100867617e-05,
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r1 = 1.39200533467621045958e+00,
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r2 = 7.21935547567138069525e-01,
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r3 = 1.71933865632803078993e-01,
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r4 = 1.86459191715652901344e-02,
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r5 = 7.77942496381893596434e-04,
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r6 = 7.32668430744625636189e-06,
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w0 = 4.18938533204672725052e-01,
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w1 = 8.33333333333329678849e-02,
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w2 = -2.77777777728775536470e-03,
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w3 = 7.93650558643019558500e-04,
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w4 = -5.95187557450339963135e-04,
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w5 = 8.36339918996282139126e-04,
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w6 = -1.63092934096575273989e-03;
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union {double f; UINT64 i;} u = {x};
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double t, y, z, nadj, p, p1, p2, p3, q, r, w;
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UINT32 ix;
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int sign,i;
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/* purge off +-inf, NaN, +-0, tiny and negative arguments */
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sign = u.i >> 63;
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ix = u.i >> 32 & 0x7fffffff;
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if (ix >= 0x7ff00000)
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return x * x;
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if (ix < (0x3ff - 70) << 20) { /* |x|<2**-70, return -log(|x|) */
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if(sign)
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x = -x;
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return -log(x);
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}
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if (sign) {
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x = -x;
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t = sin_pi(x);
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if (t == 0.0) { /* -integer */
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*_errno() = ERANGE;
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return 1.0 / (x - x);
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}
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if (t <= 0.0)
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t = -t;
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nadj = log(pi / (t * x));
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}
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/* purge off 1 and 2 */
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if ((ix == 0x3ff00000 || ix == 0x40000000) && (UINT32)u.i == 0)
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r = 0;
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/* for x < 2.0 */
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else if (ix < 0x40000000) {
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if (ix <= 0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */
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r = -log(x);
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if (ix >= 0x3FE76944) {
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y = 1.0 - x;
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i = 0;
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} else if (ix >= 0x3FCDA661) {
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y = x - (tc - 1.0);
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i = 1;
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} else {
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y = x;
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i = 2;
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}
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} else {
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r = 0.0;
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if (ix >= 0x3FFBB4C3) { /* [1.7316,2] */
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y = 2.0 - x;
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i = 0;
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} else if(ix >= 0x3FF3B4C4) { /* [1.23,1.73] */
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y = x - tc;
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i = 1;
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} else {
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y = x - 1.0;
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i = 2;
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}
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}
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switch (i) {
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case 0:
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z = y * y;
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p1 = a0 + z * (a2 + z * (a4 + z * (a6 + z * (a8 + z * a10))));
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p2 = z * (a1 + z * (a3 + z * (a5 + z * (a7 + z * (a9 + z * a11)))));
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p = y * p1 + p2;
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r += (p - 0.5 * y);
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break;
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case 1:
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z = y * y;
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w = z * y;
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p1 = t0 + w * (t3 + w * (t6 + w * (t9 + w * t12))); /* parallel comp */
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p2 = t1 + w * (t4 + w * (t7 + w * (t10 + w * t13)));
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p3 = t2 + w * (t5 + w * (t8 + w * (t11 + w * t14)));
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p = z * p1 - (tt - w * (p2 + y * p3));
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r += tf + p;
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break;
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case 2:
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p1 = y * (u0 + y * (u1 + y * (u2 + y * (u3 + y * (u4 + y * u5)))));
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p2 = 1.0 + y * (v1 + y * (v2 + y * (v3 + y * (v4 + y * v5))));
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r += -0.5 * y + p1 / p2;
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}
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} else if (ix < 0x40200000) { /* x < 8.0 */
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i = (int)x;
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y = x - (double)i;
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p = y * (s0 + y * (s1 + y * (s2 + y * (s3 + y * (s4 + y * (s5 + y * s6))))));
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q = 1.0 + y * (r1 + y * (r2 + y * (r3 + y * (r4 + y * (r5 + y * r6)))));
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r = 0.5 * y + p / q;
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z = 1.0; /* lgamma(1+s) = log(s) + lgamma(s) */
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switch (i) {
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case 7: z *= y + 6.0; /* fall through */
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case 6: z *= y + 5.0; /* fall through */
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case 5: z *= y + 4.0; /* fall through */
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case 4: z *= y + 3.0; /* fall through */
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case 3:
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z *= y + 2.0;
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r += log(z);
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break;
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}
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} else if (ix < 0x43900000) { /* 8.0 <= x < 2**58 */
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t = log(x);
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z = 1.0 / x;
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y = z * z;
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w = w0 + z * (w1 + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * w6)))));
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r = (x - 0.5) * (t - 1.0) + w;
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} else /* 2**58 <= x <= inf */
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r = x * (log(x) - 1.0);
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if (sign)
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r = nadj - r;
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return r;
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}
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/*********************************************************************
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@ -94,19 +94,6 @@ static float CDECL unix_fmaf( float x, float y, float z )
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#endif
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}
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/*********************************************************************
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* lgamma
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*/
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static double CDECL unix_lgamma(double x)
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{
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#ifdef HAVE_LGAMMA
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return lgamma(x);
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#else
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FIXME( "not implemented\n" );
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return 0;
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#endif
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}
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/*********************************************************************
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* lgammaf
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*/
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@ -169,7 +156,6 @@ static const struct unix_funcs funcs =
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unix_exp2,
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unix_exp2f,
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unix_fmaf,
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unix_lgamma,
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unix_lgammaf,
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unix_pow,
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unix_powf,
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@ -28,7 +28,6 @@ struct unix_funcs
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double (CDECL *exp2)(double x);
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float (CDECL *exp2f)(float x);
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float (CDECL *fmaf)(float x, float y, float z);
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double (CDECL *lgamma)(double x);
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float (CDECL *lgammaf)(float x);
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double (CDECL *pow)(double x, double y);
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float (CDECL *powf)(float x, float y);
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@ -297,9 +297,6 @@
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/* Define to 1 if you have the `ldap_parse_vlv_control' function. */
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#undef HAVE_LDAP_PARSE_VLV_CONTROL
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/* Define to 1 if you have the `lgamma' function. */
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#undef HAVE_LGAMMA
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/* Define to 1 if you have the `lgammaf' function. */
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#undef HAVE_LGAMMAF
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