X-Git-Url: http://nsz.repo.hu/git/?a=blobdiff_plain;f=src%2Fmath%2F__tanl.c;h=54abc3daf1ad126306b363151aaa8dcca5928423;hb=246f1c811448f37a44b41cd8df8d0ef9736d95f4;hp=e39e9df44b5b79cd9713cc49e9bf8b6dab6d8b09;hpb=eca1c35e5be967478c8fe9381c6f4652b6645d5e;p=musl

diff --git a/src/math/__tanl.c b/src/math/__tanl.c
index e39e9df4..54abc3da 100644
--- a/src/math/__tanl.c
+++ b/src/math/__tanl.c
@@ -1,4 +1,5 @@
 /* origin: FreeBSD /usr/src/lib/msun/ld80/k_tanl.c */
+/* origin: FreeBSD /usr/src/lib/msun/ld128/k_tanl.c */
 /*
  * ====================================================
  * Copyright 2004 Sun Microsystems, Inc.  All Rights Reserved.
@@ -12,7 +13,8 @@
 
 #include "libm.h"
 
-#if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
+#if (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
+#if LDBL_MANT_DIG == 64
 /*
  * ld80 version of __tan.c.  See __tan.c for most comments.
  */
@@ -22,14 +24,12 @@
  *
  * See __cosl.c for more details about the polynomial.
  */
-
 static const long double
 T3 =  0.333333333333333333180L,         /*  0xaaaaaaaaaaaaaaa5.0p-65 */
 T5 =  0.133333333333333372290L,         /*  0x88888888888893c3.0p-66 */
 T7 =  0.0539682539682504975744L,        /*  0xdd0dd0dd0dc13ba2.0p-68 */
 pio4   =  0.785398163397448309628L,     /*  0xc90fdaa22168c235.0p-64 */
 pio4lo = -1.25413940316708300586e-20L;  /* -0xece675d1fc8f8cbb.0p-130 */
-
 static const double
 T9  =  0.021869488536312216,            /*  0x1664f4882cc1c2.0p-58 */
 T11 =  0.0088632355256619590,           /*  0x1226e355c17612.0p-59 */
@@ -44,44 +44,89 @@ T27 =  0.0000024196006108814377,        /*  0x144c0d80cc6896.0p-71 */
 T29 =  0.0000078293456938132840,        /*  0x106b59141a6cb3.0p-69 */
 T31 = -0.0000032609076735050182,        /* -0x1b5abef3ba4b59.0p-71 */
 T33 =  0.0000023261313142559411;        /*  0x13835436c0c87f.0p-71 */
+#define RPOLY(w) (T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 + \
+	w * (T25 + w * (T29 + w * T33)))))))
+#define VPOLY(w) (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 + \
+	w * (T27 + w * T31))))))
+#elif LDBL_MANT_DIG == 113
+/*
+ * ld128 version of __tan.c.  See __tan.c for most comments.
+ */
+/*
+ * Domain [-0.67434, 0.67434], range ~[-3.37e-36, 1.982e-37]
+ * |tan(x)/x - t(x)| < 2**-117.8 (XXX should be ~1e-37)
+ *
+ * See __cosl.c for more details about the polynomial.
+ */
+static const long double
+T3 = 0x1.5555555555555555555555555553p-2L,
+T5 = 0x1.1111111111111111111111111eb5p-3L,
+T7 = 0x1.ba1ba1ba1ba1ba1ba1ba1b694cd6p-5L,
+T9 = 0x1.664f4882c10f9f32d6bbe09d8bcdp-6L,
+T11 = 0x1.226e355e6c23c8f5b4f5762322eep-7L,
+T13 = 0x1.d6d3d0e157ddfb5fed8e84e27b37p-9L,
+T15 = 0x1.7da36452b75e2b5fce9ee7c2c92ep-10L,
+T17 = 0x1.355824803674477dfcf726649efep-11L,
+T19 = 0x1.f57d7734d1656e0aceb716f614c2p-13L,
+T21 = 0x1.967e18afcb180ed942dfdc518d6cp-14L,
+T23 = 0x1.497d8eea21e95bc7e2aa79b9f2cdp-15L,
+T25 = 0x1.0b132d39f055c81be49eff7afd50p-16L,
+T27 = 0x1.b0f72d33eff7bfa2fbc1059d90b6p-18L,
+T29 = 0x1.5ef2daf21d1113df38d0fbc00267p-19L,
+T31 = 0x1.1c77d6eac0234988cdaa04c96626p-20L,
+T33 = 0x1.cd2a5a292b180e0bdd701057dfe3p-22L,
+T35 = 0x1.75c7357d0298c01a31d0a6f7d518p-23L,
+T37 = 0x1.2f3190f4718a9a520f98f50081fcp-24L,
+pio4 = 0x1.921fb54442d18469898cc51701b8p-1L,
+pio4lo = 0x1.cd129024e088a67cc74020bbea60p-116L;
+static const double
+T39 =  0.000000028443389121318352,	/*  0x1e8a7592977938.0p-78 */
+T41 =  0.000000011981013102001973,	/*  0x19baa1b1223219.0p-79 */
+T43 =  0.0000000038303578044958070,	/*  0x107385dfb24529.0p-80 */
+T45 =  0.0000000034664378216909893,	/*  0x1dc6c702a05262.0p-81 */
+T47 = -0.0000000015090641701997785,	/* -0x19ecef3569ebb6.0p-82 */
+T49 =  0.0000000029449552300483952,	/*  0x194c0668da786a.0p-81 */
+T51 = -0.0000000022006995706097711,	/* -0x12e763b8845268.0p-81 */
+T53 =  0.0000000015468200913196612,	/*  0x1a92fc98c29554.0p-82 */
+T55 = -0.00000000061311613386849674,	/* -0x151106cbc779a9.0p-83 */
+T57 =  1.4912469681508012e-10;		/*  0x147edbdba6f43a.0p-85 */
+#define RPOLY(w) (T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 + \
+	w * (T25 + w * (T29 + w * (T33 + w * (T37 + w * (T41 + \
+	w * (T45 + w * (T49 + w * (T53 + w * T57)))))))))))))
+#define VPOLY(w) (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 + \
+	w * (T27 + w * (T31 + w * (T35 + w * (T39 + w * (T43 + \
+	w * (T47 + w * (T51 + w * T55))))))))))))
+#endif
 
-long double __tanl(long double x, long double y, int iy) {
+long double __tanl(long double x, long double y, int odd) {
 	long double z, r, v, w, s, a, t;
-	long double osign;
-	int i;
+	int big, sign;
 
-	iy = iy == 1 ? -1 : 1;        /* XXX recover original interface */
-	// FIXME: this is wrong, use copysign, signbit or union bithack
-	osign = x >= 0 ? 1.0 : -1.0;  /* XXX slow, probably wrong for -0 */
-	if (fabsl(x) >= 0.67434) {
+	big = fabsl(x) >= 0.67434;
+	if (big) {
+		sign = 0;
 		if (x < 0) {
+			sign = 1;
 			x = -x;
 			y = -y;
 		}
-		z = pio4 - x;
-		w = pio4lo - y;
-		x = z + w;
+		x = (pio4 - x) + (pio4lo - y);
 		y = 0.0;
-		i = 1;
-	} else
-		i = 0;
+	}
 	z = x * x;
 	w = z * z;
-	r = T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 +
-	     w * (T25 + w * (T29 + w * T33))))));
-	v = z * (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 +
-	     w * (T27 + w * T31))))));
+	r = RPOLY(w);
+	v = z * VPOLY(w);
 	s = z * x;
-	r = y + z * (s * (r + v) + y);
-	r += T3 * s;
+	r = y + z * (s * (r + v) + y) + T3 * s;
 	w = x + r;
-	if (i == 1) {
-		v = (long double)iy;
-		return osign * (v - 2.0 * (x - (w * w / (w + v) - r)));
+	if (big) {
+		s = 1 - 2*odd;
+		v = s - 2.0 * (x + (r - w * w / (w + s)));
+		return sign ? -v : v;
 	}
-	if (iy == 1)
+	if (!odd)
 		return w;
-
 	/*
 	 * if allow error up to 2 ulp, simply return
 	 * -1.0 / (x+r) here