ntdll: Copy tan() implementation from msvcrt.
Signed-off-by: Alexandre Julliard <julliard@winehq.org>
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@ -507,6 +507,65 @@ static double __cos(double x, double y)
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return w + (((1.0 - w) - hz) + (z * r - x * y));
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}
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/* Copied from musl: src/math/__tan.c */
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static double __tan(double x, double y, int odd)
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{
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static const double T[] = {
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3.33333333333334091986e-01,
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1.33333333333201242699e-01,
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5.39682539762260521377e-02,
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2.18694882948595424599e-02,
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8.86323982359930005737e-03,
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3.59207910759131235356e-03,
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1.45620945432529025516e-03,
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5.88041240820264096874e-04,
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2.46463134818469906812e-04,
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7.81794442939557092300e-05,
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7.14072491382608190305e-05,
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-1.85586374855275456654e-05,
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2.59073051863633712884e-05,
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};
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static const double pio4 = 7.85398163397448278999e-01;
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static const double pio4lo = 3.06161699786838301793e-17;
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double z, r, v, w, s, a, w0, a0;
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UINT32 hx;
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int big, sign;
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hx = *(ULONGLONG*)&x >> 32;
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big = (hx & 0x7fffffff) >= 0x3FE59428; /* |x| >= 0.6744 */
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if (big) {
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sign = hx >> 31;
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if (sign) {
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x = -x;
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y = -y;
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}
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x = (pio4 - x) + (pio4lo - y);
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y = 0.0;
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}
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z = x * x;
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w = z * z;
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r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11]))));
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v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12])))));
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s = z * x;
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r = y + z * (s * (r + v) + y) + s * T[0];
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w = x + r;
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if (big) {
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s = 1 - 2 * odd;
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v = s - 2.0 * (x + (r - w * w / (w + s)));
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return sign ? -v : v;
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}
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if (!odd)
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return w;
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/* -1.0/(x+r) has up to 2ulp error, so compute it accurately */
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w0 = w;
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*(LONGLONG*)&w0 = *(LONGLONG*)&w0 & 0xffffffff00000000ULL;
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v = r - (w0 - x); /* w0+v = r+x */
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a0 = a = -1.0 / w;
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*(LONGLONG*)&a0 = *(LONGLONG*)&a0 & 0xffffffff00000000ULL;
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return a0 + a * (1.0 + a0 * w0 + a0 * v);
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}
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/*********************************************************************
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* abs (NTDLL.@)
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@ -778,10 +837,33 @@ double CDECL sqrt( double d )
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/*********************************************************************
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* tan (NTDLL.@)
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*
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* Copied from musl: src/math/tan.c
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*/
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double CDECL tan( double d )
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double CDECL tan( double x )
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{
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return unix_funcs->tan( d );
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double y[2];
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UINT32 ix;
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unsigned n;
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ix = *(ULONGLONG*)&x >> 32;
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ix &= 0x7fffffff;
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if (ix <= 0x3fe921fb) { /* |x| ~< pi/4 */
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if (ix < 0x3e400000) { /* |x| < 2**-27 */
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/* raise inexact if x!=0 and underflow if subnormal */
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fp_barrier(ix < 0x00100000 ? x / 0x1p120f : x + 0x1p120f);
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return x;
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}
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return __tan(x, 0.0, 0);
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}
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if (isinf(x)) return x - x;
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if (ix >= 0x7ff00000)
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return x - x;
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n = __rem_pio2(x, y);
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return __tan(y[0], y[1], n & 1);
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}
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#if (defined(__GNUC__) || defined(__clang__)) && defined(__i386__)
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