msvcrt: Import j1 implementation from musl.
Signed-off-by: Piotr Caban <piotr@codeweavers.com> Signed-off-by: Alexandre Julliard <julliard@winehq.org>
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dedcd7c100
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3911ac3f45
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@ -19631,7 +19631,6 @@ for ac_func in \
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expm1f \
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fma \
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fmaf \
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j1 \
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jn \
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lgamma \
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lgammaf \
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@ -2674,7 +2674,6 @@ AC_CHECK_FUNCS(\
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expm1f \
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fma \
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fmaf \
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j1 \
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jn \
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lgamma \
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lgammaf \
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@ -139,6 +139,9 @@ static double math_error(int type, const char *name, double arg1, double arg2, d
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switch (type)
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{
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case 0:
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/* don't set errno */
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break;
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case _DOMAIN:
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*_errno() = EDOM;
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break;
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@ -2675,13 +2678,236 @@ double CDECL _j0(double x)
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return 1 - x;
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}
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static double pone(double x)
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{
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static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
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0.00000000000000000000e+00,
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1.17187499999988647970e-01,
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1.32394806593073575129e+01,
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4.12051854307378562225e+02,
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3.87474538913960532227e+03,
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7.91447954031891731574e+03,
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}, ps8[5] = {
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1.14207370375678408436e+02,
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3.65093083420853463394e+03,
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3.69562060269033463555e+04,
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9.76027935934950801311e+04,
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3.08042720627888811578e+04,
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}, pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
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1.31990519556243522749e-11,
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1.17187493190614097638e-01,
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6.80275127868432871736e+00,
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1.08308182990189109773e+02,
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5.17636139533199752805e+02,
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5.28715201363337541807e+02,
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}, ps5[5] = {
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5.92805987221131331921e+01,
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9.91401418733614377743e+02,
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5.35326695291487976647e+03,
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7.84469031749551231769e+03,
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1.50404688810361062679e+03,
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}, pr3[6] = {
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3.02503916137373618024e-09,
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1.17186865567253592491e-01,
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3.93297750033315640650e+00,
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3.51194035591636932736e+01,
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9.10550110750781271918e+01,
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4.85590685197364919645e+01,
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}, ps3[5] = {
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3.47913095001251519989e+01,
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3.36762458747825746741e+02,
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1.04687139975775130551e+03,
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8.90811346398256432622e+02,
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1.03787932439639277504e+02,
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}, pr2[6] = { /* for x in [2.8570,2]=1/[0.3499,0.5] */
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1.07710830106873743082e-07,
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1.17176219462683348094e-01,
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2.36851496667608785174e+00,
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1.22426109148261232917e+01,
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1.76939711271687727390e+01,
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5.07352312588818499250e+00,
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}, ps2[5] = {
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2.14364859363821409488e+01,
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1.25290227168402751090e+02,
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2.32276469057162813669e+02,
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1.17679373287147100768e+02,
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8.36463893371618283368e+00,
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};
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const double *p, *q;
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double z, r, s;
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unsigned int ix;
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ix = *(ULONGLONG*)&x >> 32;
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ix &= 0x7fffffff;
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if (ix >= 0x40200000) {
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p = pr8;
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q = ps8;
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} else if (ix >= 0x40122E8B) {
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p = pr5;
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q = ps5;
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} else if (ix >= 0x4006DB6D) {
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p = pr3;
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q = ps3;
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} else /*ix >= 0x40000000*/ {
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p = pr2;
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q = ps2;
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}
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z = 1.0 / (x * x);
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r = p[0] + z * (p[1] + z * (p[2] + z * (p[3] + z * (p[4] + z * p[5]))));
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s = 1.0 + z * (q[0] + z * (q[1] + z * (q[2] + z * (q[3] + z * q[4]))));
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return 1.0 + r / s;
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}
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static double qone(double x)
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{
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static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
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0.00000000000000000000e+00,
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-1.02539062499992714161e-01,
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-1.62717534544589987888e+01,
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-7.59601722513950107896e+02,
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-1.18498066702429587167e+04,
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-4.84385124285750353010e+04,
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}, qs8[6] = {
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1.61395369700722909556e+02,
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7.82538599923348465381e+03,
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1.33875336287249578163e+05,
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7.19657723683240939863e+05,
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6.66601232617776375264e+05,
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-2.94490264303834643215e+05,
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}, qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
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-2.08979931141764104297e-11,
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-1.02539050241375426231e-01,
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-8.05644828123936029840e+00,
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-1.83669607474888380239e+02,
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-1.37319376065508163265e+03,
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-2.61244440453215656817e+03,
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}, qs5[6] = {
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8.12765501384335777857e+01,
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1.99179873460485964642e+03,
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1.74684851924908907677e+04,
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4.98514270910352279316e+04,
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2.79480751638918118260e+04,
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-4.71918354795128470869e+03,
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}, qr3[6] = {
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-5.07831226461766561369e-09,
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-1.02537829820837089745e-01,
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-4.61011581139473403113e+00,
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-5.78472216562783643212e+01,
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-2.28244540737631695038e+02,
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-2.19210128478909325622e+02,
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}, qs3[6] = {
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4.76651550323729509273e+01,
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6.73865112676699709482e+02,
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3.38015286679526343505e+03,
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5.54772909720722782367e+03,
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1.90311919338810798763e+03,
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-1.35201191444307340817e+02,
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}, qr2[6] = { /* for x in [2.8570,2]=1/[0.3499,0.5] */
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-1.78381727510958865572e-07,
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-1.02517042607985553460e-01,
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-2.75220568278187460720e+00,
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-1.96636162643703720221e+01,
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-4.23253133372830490089e+01,
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-2.13719211703704061733e+01,
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}, qs2[6] = {
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2.95333629060523854548e+01,
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2.52981549982190529136e+02,
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7.57502834868645436472e+02,
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7.39393205320467245656e+02,
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1.55949003336666123687e+02,
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-4.95949898822628210127e+00,
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};
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const double *p, *q;
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double s, r, z;
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unsigned int ix;
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ix = *(ULONGLONG*)&x >> 32;
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ix &= 0x7fffffff;
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if (ix >= 0x40200000) {
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p = qr8;
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q = qs8;
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} else if (ix >= 0x40122E8B) {
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p = qr5;
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q = qs5;
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} else if (ix >= 0x4006DB6D) {
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p = qr3;
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q = qs3;
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} else /*ix >= 0x40000000*/ {
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p = qr2;
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q = qs2;
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}
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z = 1.0 / (x * x);
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r = p[0] + z * (p[1] + z * (p[2] + z * (p[3] + z * (p[4] + z * p[5]))));
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s = 1.0 + z * (q[0] + z * (q[1] + z * (q[2] + z * (q[3] + z * (q[4] + z * q[5])))));
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return (0.375 + r / s) / x;
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}
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static double j1_y1_approx(unsigned int ix, double x, BOOL y1, int sign)
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{
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static const double invsqrtpi = 5.64189583547756279280e-01;
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double z, s, c, ss, cc;
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s = sin(x);
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if (y1) s = -s;
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c = cos(x);
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cc = s - c;
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if (ix < 0x7fe00000) {
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ss = -s - c;
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z = cos(2 * x);
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if (s * c > 0) cc = z / ss;
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else ss = z / cc;
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if (ix < 0x48000000) {
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if (y1)
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ss = -ss;
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cc = pone(x) * cc - qone(x) * ss;
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}
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}
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if (sign)
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cc = -cc;
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return invsqrtpi * cc / sqrt(x);
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}
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/*********************************************************************
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* _j1 (MSVCRT.@)
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*
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* Copied from musl: src/math/j1.c
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*/
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double CDECL _j1(double num)
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double CDECL _j1(double x)
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{
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/* FIXME: errno handling */
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return unix_funcs->j1( num );
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static const double r00 = -6.25000000000000000000e-02,
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r01 = 1.40705666955189706048e-03,
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r02 = -1.59955631084035597520e-05,
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r03 = 4.96727999609584448412e-08,
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s01 = 1.91537599538363460805e-02,
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s02 = 1.85946785588630915560e-04,
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s03 = 1.17718464042623683263e-06,
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s04 = 5.04636257076217042715e-09,
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s05 = 1.23542274426137913908e-11;
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double z, r, s;
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unsigned int ix;
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int sign;
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ix = *(ULONGLONG*)&x >> 32;
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sign = ix >> 31;
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ix &= 0x7fffffff;
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if (ix >= 0x7ff00000)
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return math_error(isnan(x) ? 0 : _DOMAIN, "_j1", x, 0, 1 / (x * x));
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if (ix >= 0x40000000) /* |x| >= 2 */
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return j1_y1_approx(ix, fabs(x), FALSE, sign);
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if (ix >= 0x38000000) { /* |x| >= 2**-127 */
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z = x * x;
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r = z * (r00 + z * (r01 + z * (r02 + z * r03)));
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s = 1 + z * (s01 + z * (s02 + z * (s03 + z * (s04 + z * s05))));
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z = r / s;
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} else {
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/* avoid underflow, raise inexact if x!=0 */
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z = x;
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}
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return (0.5 + z) * x;
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}
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/*********************************************************************
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@ -401,19 +401,6 @@ static float CDECL unix_hypotf(float x, float y)
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return hypotf( x, y );
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}
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/*********************************************************************
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* j1
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*/
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static double CDECL unix_j1(double num)
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{
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#ifdef HAVE_J1
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return j1(num);
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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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* jn
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*/
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@ -1027,7 +1014,6 @@ static const struct unix_funcs funcs =
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unix_frexpf,
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unix_hypot,
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unix_hypotf,
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unix_j1,
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unix_jn,
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unix_ldexp,
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unix_lgamma,
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@ -57,7 +57,6 @@ struct unix_funcs
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float (CDECL *frexpf)(float x, int *exp);
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double (CDECL *hypot)(double x, double y);
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float (CDECL *hypotf)(float x, float y);
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double (CDECL *j1)(double num);
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double (CDECL *jn)(int n, double num);
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double (CDECL *ldexp)(double x, int exp);
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double (CDECL *lgamma)(double x);
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@ -288,9 +288,6 @@
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/* Define to 1 if you have the `isnan' function. */
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#undef HAVE_ISNAN
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/* Define to 1 if you have the `j1' function. */
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#undef HAVE_J1
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/* Define to 1 if you have the `jn' function. */
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#undef HAVE_JN
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