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msvcrt: Use the lgamma()/lgammaf() implementation from the bundled musl library.
This commit is contained in:
Alexandre Julliard
parent
f27f2d4e66
commit
442052fe18
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@ -576,6 +576,7 @@ static float __expm1f(float x)
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return y;
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}
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#ifndef __i386__
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/* Copied from musl: src/math/__sindf.c */
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static float __sindf(double x)
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{
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@ -611,6 +612,7 @@ static float __cosdf(double x)
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return 1 + C0 * z;
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return 1.0 + z * (C0 + z * (C1 + z * (C2 + z * (C3 + z * C4))));
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}
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#endif
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static const UINT64 exp2f_T[] = {
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0x3ff0000000000000ULL, 0x3fefd9b0d3158574ULL, 0x3fefb5586cf9890fULL, 0x3fef9301d0125b51ULL,
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@ -9016,386 +9018,6 @@ static double sin_pi(double x)
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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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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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/* sin(pi*x) assuming x > 2^-100, if sin(pi*x)==0 the sign is arbitrary */
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static float sinf_pi(float x)
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{
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double y;
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int n;
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/* spurious inexact if odd int */
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x = 2 * (x * 0.5f - floorf(x * 0.5f)); /* x mod 2.0 */
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n = (int)(x * 4);
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n = (n + 1) / 2;
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y = x - n * 0.5f;
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y *= M_PI;
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switch (n) {
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default: /* case 4: */
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case 0: return __sindf(y);
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case 1: return __cosdf(y);
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case 2: return __sindf(-y);
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case 3: return -__cosdf(y);
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}
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}
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/*********************************************************************
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* lgammaf (MSVCR120.@)
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*
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* Copied from musl: src/math/lgammaf_r.c
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*/
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float CDECL lgammaf(float x)
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{
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static const float pi = 3.1415927410e+00,
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a0 = 7.7215664089e-02,
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a1 = 3.2246702909e-01,
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a2 = 6.7352302372e-02,
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a3 = 2.0580807701e-02,
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a4 = 7.3855509982e-03,
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a5 = 2.8905137442e-03,
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a6 = 1.1927076848e-03,
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a7 = 5.1006977446e-04,
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a8 = 2.2086278477e-04,
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a9 = 1.0801156895e-04,
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a10 = 2.5214456400e-05,
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a11 = 4.4864096708e-05,
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tc = 1.4616321325e+00,
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tf = -1.2148628384e-01,
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tt = 6.6971006518e-09,
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t0 = 4.8383611441e-01,
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t1 = -1.4758771658e-01,
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t2 = 6.4624942839e-02,
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t3 = -3.2788541168e-02,
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t4 = 1.7970675603e-02,
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t5 = -1.0314224288e-02,
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t6 = 6.1005386524e-03,
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t7 = -3.6845202558e-03,
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t8 = 2.2596477065e-03,
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t9 = -1.4034647029e-03,
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t10 = 8.8108185446e-04,
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t11 = -5.3859531181e-04,
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t12 = 3.1563205994e-04,
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t13 = -3.1275415677e-04,
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t14 = 3.3552918467e-04,
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u0 = -7.7215664089e-02,
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u1 = 6.3282704353e-01,
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u2 = 1.4549225569e+00,
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u3 = 9.7771751881e-01,
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u4 = 2.2896373272e-01,
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u5 = 1.3381091878e-02,
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v1 = 2.4559779167e+00,
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v2 = 2.1284897327e+00,
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v3 = 7.6928514242e-01,
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v4 = 1.0422264785e-01,
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v5 = 3.2170924824e-03,
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s0 = -7.7215664089e-02,
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s1 = 2.1498242021e-01,
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s2 = 3.2577878237e-01,
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s3 = 1.4635047317e-01,
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s4 = 2.6642270386e-02,
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s5 = 1.8402845599e-03,
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s6 = 3.1947532989e-05,
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r1 = 1.3920053244e+00,
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r2 = 7.2193557024e-01,
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r3 = 1.7193385959e-01,
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r4 = 1.8645919859e-02,
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r5 = 7.7794247773e-04,
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r6 = 7.3266842264e-06,
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w0 = 4.1893854737e-01,
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w1 = 8.3333335817e-02,
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w2 = -2.7777778450e-03,
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w3 = 7.9365057172e-04,
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w4 = -5.9518753551e-04,
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w5 = 8.3633989561e-04,
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w6 = -1.6309292987e-03;
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union {float f; UINT32 i;} u = {x};
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float t, y, z, nadj, p, p1, p2, p3, q, r, w;
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UINT32 ix;
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int i, sign;
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/* purge off +-inf, NaN, +-0, tiny and negative arguments */
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sign = u.i >> 31;
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ix = u.i & 0x7fffffff;
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if (ix >= 0x7f800000)
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return x * x;
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if (ix < 0x35000000) { /* |x| < 2**-21, return -log(|x|) */
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if (sign)
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x = -x;
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return -logf(x);
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}
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if (sign) {
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x = -x;
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t = sinf_pi(x);
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if (t == 0.0f) { /* -integer */
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*_errno() = ERANGE;
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return 1.0f / (x - x);
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}
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if (t <= 0.0f)
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t = -t;
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nadj = logf(pi / (t * x));
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}
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/* purge off 1 and 2 */
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if (ix == 0x3f800000 || ix == 0x40000000)
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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 <= 0x3f666666) { /* lgamma(x) = lgamma(x+1)-log(x) */
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r = -logf(x);
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if (ix >= 0x3f3b4a20) {
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y = 1.0f - x;
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i = 0;
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} else if (ix >= 0x3e6d3308) {
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y = x - (tc - 1.0f);
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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 = 0.0f;
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if (ix >= 0x3fdda618) { /* [1.7316,2] */
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y = 2.0f - x;
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i = 0;
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} else if (ix >= 0x3F9da620) { /* [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 - 1.0f;
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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 - 0.5f * 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 = 1.0f + y * (v1 + y * (v2 + y * (v3 + y * (v4 + y * v5))));
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r += -0.5f * y + p1 / p2;
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}
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} else if (ix < 0x41000000) { /* x < 8.0 */
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i = (int)x;
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y = x - (float)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 = 1.0f + y * (r1 + y * (r2 + y * (r3 + y * (r4 + y * (r5 + y * r6)))));
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r = 0.5f * y + p / q;
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z = 1.0f; /* lgamma(1+s) = log(s) + lgamma(s) */
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switch (i) {
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case 7: z *= y + 6.0f; /* fall through */
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case 6: z *= y + 5.0f; /* fall through */
|
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case 5: z *= y + 4.0f; /* fall through */
|
||||
case 4: z *= y + 3.0f; /* fall through */
|
||||
case 3:
|
||||
z *= y + 2.0f;
|
||||
r += logf(z);
|
||||
break;
|
||||
}
|
||||
} else if (ix < 0x5c800000) { /* 8.0 <= x < 2**58 */
|
||||
t = logf(x);
|
||||
z = 1.0f / x;
|
||||
y = z * z;
|
||||
w = w0 + z * (w1 + y * (w2 + y * (w3 + y * (w4 + y * (w5 + y * w6)))));
|
||||
r = (x - 0.5f) * (t - 1.0f) + w;
|
||||
} else /* 2**58 <= x <= inf */
|
||||
r = x * (logf(x) - 1.0f);
|
||||
if (sign)
|
||||
r = nadj - r;
|
||||
return r;
|
||||
}
|
||||
|
||||
static double tgamma_S(double x)
|
||||
{
|
||||
static const double Snum[] = {
|
||||
|
|
|
|||
|
|
@ -190,8 +190,10 @@ double __lgamma_r(double x, int *signgamp)
|
|||
if (sign) {
|
||||
x = -x;
|
||||
t = sin_pi(x);
|
||||
if (t == 0.0) /* -integer */
|
||||
if (t == 0.0) { /* -integer */
|
||||
errno = ERANGE;
|
||||
return 1.0/(x-x);
|
||||
}
|
||||
if (t > 0.0)
|
||||
*signgamp = -1;
|
||||
else
|
||||
|
|
|
|||
|
|
@ -125,8 +125,10 @@ float __lgammaf_r(float x, int *signgamp)
|
|||
if (sign) {
|
||||
x = -x;
|
||||
t = sin_pi(x);
|
||||
if (t == 0.0f) /* -integer */
|
||||
if (t == 0.0f) { /* -integer */
|
||||
errno = ERANGE;
|
||||
return 1.0f/(x-x);
|
||||
}
|
||||
if (t > 0.0f)
|
||||
*signgamp = -1;
|
||||
else
|
||||
|
|
|
|||
Loading…
Reference in a new issue