feat: add gzip and new headers

1 files changed, 169 insertions, 0 deletions

diff --git a/lib/libm/__tanl.c b/lib/libm/__tanl.c
new file mode 100644
index 00000000..b279051f
--- /dev/null
+++ b/lib/libm/__tanl.c
@@ -0,0 +1,169 @@
+/* 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.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include "libm.h"
+
+#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.
+ */
+/*
+ * Domain [-0.67434, 0.67434], range ~[-2.25e-22, 1.921e-22]
+ * |tan(x)/x - t(x)| < 2**-71.9
+ *
+ * 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 */
+	T13 = 0.0035921281113786528,	       /*  0x1d6d3d185d7ff8.0p-61 */
+	T15 = 0.0014558334756312418,	       /*  0x17da354aa3f96b.0p-62 */
+	T17 = 0.00059003538700862256,	       /*  0x13559358685b83.0p-63 */
+	T19 = 0.00023907843576635544,	       /*  0x1f56242026b5be.0p-65 */
+	T21 = 0.000097154625656538905,	       /*  0x1977efc26806f4.0p-66 */
+	T23 = 0.000038440165747303162,	       /*  0x14275a09b3ceac.0p-67 */
+	T25 = 0.000018082171885432524,	       /*  0x12f5e563e5487e.0p-68 */
+	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 odd)
+{
+	long double z, r, v, w, s, a, t;
+	int big, sign;
+
+	big = fabsl(x) >= 0.67434;
+	if (big) {
+		sign = 0;
+		if (x < 0) {
+			sign = 1;
+			x = -x;
+			y = -y;
+		}
+		x = (pio4 - x) + (pio4lo - y);
+		y = 0.0;
+	}
+	z = x * x;
+	w = z * z;
+	r = RPOLY(w);
+	v = z * VPOLY(w);
+	s = z * x;
+	r = y + z * (s * (r + v) + y) + T3 * s;
+	w = x + r;
+	if (big) {
+		s = 1 - 2 * odd;
+		v = s - 2.0 * (x + (r - w * w / (w + s)));
+		return sign ? -v : v;
+	}
+	if (!odd)
+		return w;
+	/*
+	 * if allow error up to 2 ulp, simply return
+	 * -1.0 / (x+r) here
+	 */
+	/* compute -1.0 / (x+r) accurately */
+	z = w;
+	z = z + 0x1p32 - 0x1p32;
+	v = r - (z - x);  /* z+v = r+x */
+	t = a = -1.0 / w; /* a = -1.0/w */
+	t = t + 0x1p32 - 0x1p32;
+	s = 1.0 + t * z;
+	return t + a * (s + t * v);
+}
+#endif