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msvcrt: Use the j0()/y0() implementation from the bundled musl library.
This commit is contained in:
Alexandre Julliard
parent
4ef90e94fd
commit
c75a041044
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@ -5510,247 +5510,6 @@ int CDECL _isnan(double num)
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return (u.i & ~0ull >> 1) > 0x7ffull << 52;
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}
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static double pzero(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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-7.03124999999900357484e-02,
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-8.08167041275349795626e+00,
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-2.57063105679704847262e+02,
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-2.48521641009428822144e+03,
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-5.25304380490729545272e+03,
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}, pS8[5] = {
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1.16534364619668181717e+02,
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3.83374475364121826715e+03,
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4.05978572648472545552e+04,
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1.16752972564375915681e+05,
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4.76277284146730962675e+04,
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}, pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
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-1.14125464691894502584e-11,
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-7.03124940873599280078e-02,
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-4.15961064470587782438e+00,
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-6.76747652265167261021e+01,
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-3.31231299649172967747e+02,
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-3.46433388365604912451e+02,
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}, pS5[5] = {
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6.07539382692300335975e+01,
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1.05125230595704579173e+03,
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5.97897094333855784498e+03,
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9.62544514357774460223e+03,
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2.40605815922939109441e+03,
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}, pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
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-2.54704601771951915620e-09,
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-7.03119616381481654654e-02,
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-2.40903221549529611423e+00,
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-2.19659774734883086467e+01,
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-5.80791704701737572236e+01,
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-3.14479470594888503854e+01,
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}, pS3[5] = {
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3.58560338055209726349e+01,
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3.61513983050303863820e+02,
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1.19360783792111533330e+03,
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1.12799679856907414432e+03,
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1.73580930813335754692e+02,
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}, pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
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-8.87534333032526411254e-08,
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-7.03030995483624743247e-02,
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-1.45073846780952986357e+00,
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-7.63569613823527770791e+00,
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-1.11931668860356747786e+01,
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-3.23364579351335335033e+00,
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}, pS2[5] = {
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2.22202997532088808441e+01,
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1.36206794218215208048e+02,
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2.70470278658083486789e+02,
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1.53875394208320329881e+02,
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1.46576176948256193810e+01,
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};
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const double *p, *q;
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double z, r, s;
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UINT32 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 qzero(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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7.32421874999935051953e-02,
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1.17682064682252693899e+01,
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5.57673380256401856059e+02,
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8.85919720756468632317e+03,
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3.70146267776887834771e+04,
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}, qS8[6] = {
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1.63776026895689824414e+02,
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8.09834494656449805916e+03,
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1.42538291419120476348e+05,
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8.03309257119514397345e+05,
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8.40501579819060512818e+05,
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-3.43899293537866615225e+05,
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}, qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
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1.84085963594515531381e-11,
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7.32421766612684765896e-02,
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5.83563508962056953777e+00,
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1.35111577286449829671e+02,
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1.02724376596164097464e+03,
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1.98997785864605384631e+03,
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}, qS5[6] = {
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8.27766102236537761883e+01,
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2.07781416421392987104e+03,
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1.88472887785718085070e+04,
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5.67511122894947329769e+04,
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3.59767538425114471465e+04,
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-5.35434275601944773371e+03,
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}, qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
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4.37741014089738620906e-09,
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7.32411180042911447163e-02,
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3.34423137516170720929e+00,
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4.26218440745412650017e+01,
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1.70808091340565596283e+02,
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1.66733948696651168575e+02,
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}, qS3[6] = {
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4.87588729724587182091e+01,
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7.09689221056606015736e+02,
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3.70414822620111362994e+03,
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6.46042516752568917582e+03,
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2.51633368920368957333e+03,
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-1.49247451836156386662e+02,
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}, qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
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1.50444444886983272379e-07,
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7.32234265963079278272e-02,
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1.99819174093815998816e+00,
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1.44956029347885735348e+01,
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3.16662317504781540833e+01,
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1.62527075710929267416e+01,
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}, qS2[6] = {
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3.03655848355219184498e+01,
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2.69348118608049844624e+02,
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8.44783757595320139444e+02,
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8.82935845112488550512e+02,
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2.12666388511798828631e+02,
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-5.31095493882666946917e+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 (-0.125 + r / s) / x;
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}
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/* j0 and y0 approximation for |x|>=2 */
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static double j0_y0_approx(unsigned int ix, double x, BOOL y0)
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{
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static const double invsqrtpi = 5.64189583547756279280e-01;
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double s, c, ss, cc, z;
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s = sin(x);
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c = cos(x);
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if (y0) c = -c;
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cc = s + c;
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/* avoid overflow in 2*x, big ulp error when x>=0x1p1023 */
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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 (y0) ss = -ss;
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cc = pzero(x) * cc - qzero(x) * ss;
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}
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}
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return invsqrtpi * cc / sqrt(x);
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}
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/*********************************************************************
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* _j0 (MSVCRT.@)
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*
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* Copied from musl: src/math/j0.c
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*/
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double CDECL _j0(double x)
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{
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static const double R02 = 1.56249999999999947958e-02,
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R03 = -1.89979294238854721751e-04,
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R04 = 1.82954049532700665670e-06,
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R05 = -4.61832688532103189199e-09,
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S01 = 1.56191029464890010492e-02,
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S02 = 1.16926784663337450260e-04,
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S03 = 5.13546550207318111446e-07,
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S04 = 1.16614003333790000205e-09;
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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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/* j0(+-inf)=0, j0(nan)=nan */
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if (ix >= 0x7ff00000)
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return math_error(_DOMAIN, "_j0", x, 0, 1 / (x * x));
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x = fabs(x);
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if (ix >= 0x40000000) { /* |x| >= 2 */
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/* large ulp error near zeros: 2.4, 5.52, 8.6537,.. */
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return j0_y0_approx(ix, x, FALSE);
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}
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if (ix >= 0x3f200000) { /* |x| >= 2**-13 */
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/* up to 4ulp error close to 2 */
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z = x * x;
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r = z * (R02 + z * (R03 + z * (R04 + z * R05)));
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s = 1 + z * (S01 + z * (S02 + z * (S03 + z * S04)));
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return (1 + x / 2) * (1 - x / 2) + z * (r / s);
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}
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/* 1 - x*x/4 */
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/* prevent underflow */
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/* inexact should be raised when x!=0, this is not done correctly */
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if (ix >= 0x38000000) /* |x| >= 2**-127 */
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x = 0.25 * x * 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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@ -6114,55 +5873,6 @@ double CDECL _jn(int n, double x)
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return sign ? -b : b;
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}
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/*********************************************************************
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* _y0 (MSVCRT.@)
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*/
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double CDECL _y0(double x)
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{
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static const double tpi = 6.36619772367581382433e-01,
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u00 = -7.38042951086872317523e-02,
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u01 = 1.76666452509181115538e-01,
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u02 = -1.38185671945596898896e-02,
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u03 = 3.47453432093683650238e-04,
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u04 = -3.81407053724364161125e-06,
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u05 = 1.95590137035022920206e-08,
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u06 = -3.98205194132103398453e-11,
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v01 = 1.27304834834123699328e-02,
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v02 = 7.60068627350353253702e-05,
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v03 = 2.59150851840457805467e-07,
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v04 = 4.41110311332675467403e-10;
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double z, u, v;
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unsigned int ix, lx;
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ix = *(ULONGLONG*)&x >> 32;
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lx = *(ULONGLONG*)&x;
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/* y0(nan)=nan, y0(<0)=nan, y0(0)=-inf, y0(inf)=0 */
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if ((ix << 1 | lx) == 0)
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return math_error(_OVERFLOW, "_y0", x, 0, -INFINITY);
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if (isnan(x))
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return x;
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if (ix >> 31)
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return math_error(_DOMAIN, "_y0", x, 0, 0 / (x - x));
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if (ix >= 0x7ff00000)
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return 1 / x;
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if (ix >= 0x40000000) { /* x >= 2 */
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/* large ulp errors near zeros: 3.958, 7.086,.. */
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return j0_y0_approx(ix, x, TRUE);
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}
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if (ix >= 0x3e400000) { /* x >= 2**-27 */
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/* large ulp error near the first zero, x ~= 0.89 */
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z = x * x;
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u = u00 + z * (u01 + z * (u02 + z * (u03 + z * (u04 + z * (u05 + z * u06)))));
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v = 1.0 + z * (v01 + z * (v02 + z * (v03 + z * v04)));
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return u / v + tpi * (j0(x) * log(x));
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}
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return u00 + tpi * log(x);
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}
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/*********************************************************************
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* _y1 (MSVCRT.@)
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*/
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@ -118,7 +118,7 @@ double __cdecl _j0(double x)
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/* j0(+-inf)=0, j0(nan)=nan */
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if (ix >= 0x7ff00000)
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return 1/(x*x);
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return math_error(_DOMAIN, "_j0", x, 0, 1 / (x * x));
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x = fabs(x);
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if (ix >= 0x40000000) { /* |x| >= 2 */
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@ -165,9 +165,11 @@ double __cdecl _y0(double x)
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/* y0(nan)=nan, y0(<0)=nan, y0(0)=-inf, y0(inf)=0 */
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if ((ix<<1 | lx) == 0)
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return -1/0.0;
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return math_error(_OVERFLOW, "_y0", x, 0, -INFINITY);
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if (isnan(x))
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return x;
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if (ix>>31)
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return 0/0.0;
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return math_error(_DOMAIN, "_y0", x, 0, 0 / (x - x));
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if (ix >= 0x7ff00000)
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return 1/x;
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