first commit of the new libm!

thanks to the hard work of Szabolcs Nagy (nsz), identifying the best
(from correctness and license standpoint) implementations from freebsd
and openbsd and cleaning them up! musl should now fully support c99
float and long double math functions, and has near-complete complex
math support. tgmath should also work (fully on gcc-compatible
compilers, and mostly on any c99 compiler).

based largely on commit 0376d44a890fea261506f1fc63833e7a686dca19 from
nsz's libm git repo, with some additions (dummy versions of a few
missing long double complex functions, etc.) by me.

various cleanups still need to be made, including re-adding (if
they're correct) some asm functions that were dropped.

1 files changed, 103 insertions, 0 deletions

diff --git a/src/math/ceill.c b/src/math/ceill.c
new file mode 100644
index 00000000..b938cc7f
--- /dev/null
+++ b/src/math/ceill.c
@@ -0,0 +1,103 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_ceill.c */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/*
+ * ceill(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ *      Bit twiddling.
+ * Exception:
+ *      Inexact flag raised if x not equal to ceill(x).
+ */
+
+#include "libm.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double ceill(long double x)
+{
+	return ceil(x);
+}
+#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
+
+#ifdef LDBL_IMPLICIT_NBIT
+#define MANH_SIZE       (LDBL_MANH_SIZE + 1)
+#define INC_MANH(u, c)  do {                                    \
+	uint64_t o = u.bits.manh;                               \
+	u.bits.manh += (c);                                     \
+	if (u.bits.manh < o)                                    \
+		u.bits.exp++;                                   \
+} while (0)
+#else
+#define MANH_SIZE       LDBL_MANH_SIZE
+#define INC_MANH(u, c)  do {                                    \
+	uint64_t o = u.bits.manh;                               \
+	u.bits.manh += (c);                                     \
+	if (u.bits.manh < o) {                                  \
+		u.bits.exp++;                                   \
+		u.bits.manh |= 1llu << (LDBL_MANH_SIZE - 1);    \
+	}                                                       \
+} while (0)
+#endif
+
+static const long double huge = 1.0e300;
+
+long double
+ceill(long double x)
+{
+	union IEEEl2bits u = { .e = x };
+	int e = u.bits.exp - LDBL_MAX_EXP + 1;
+
+	if (e < MANH_SIZE - 1) {
+		if (e < 0) {
+			/* raise inexact if x != 0 */
+			if (huge + x > 0.0)
+				if (u.bits.exp > 0 ||
+					(u.bits.manh | u.bits.manl) != 0)
+					u.e = u.bits.sign ? -0.0 : 1.0;
+		} else {
+			uint64_t m = ((1llu << MANH_SIZE) - 1) >> (e + 1);
+			if (((u.bits.manh & m) | u.bits.manl) == 0)
+				return x;  /* x is integral */
+			if (!u.bits.sign) {
+#ifdef LDBL_IMPLICIT_NBIT
+				if (e == 0)
+					u.bits.exp++;
+				else
+#endif
+				INC_MANH(u, 1llu << (MANH_SIZE - e - 1));
+			}
+			/* raise inexact flag */
+			if (huge + x > 0.0) {
+				u.bits.manh &= ~m;
+				u.bits.manl = 0;
+			}
+		}
+	} else if (e < LDBL_MANT_DIG - 1) {
+		uint64_t m = (uint64_t)-1 >> (64 - LDBL_MANT_DIG + e + 1);
+		if ((u.bits.manl & m) == 0)
+			return x;  /* x is integral */
+		if (!u.bits.sign) {
+			if (e == MANH_SIZE - 1)
+				INC_MANH(u, 1);
+			else {
+				uint64_t o = u.bits.manl;
+				u.bits.manl += 1llu << (LDBL_MANT_DIG - e - 1);
+				if (u.bits.manl < o)    /* got a carry */
+					INC_MANH(u, 1);
+			}
+		}
+		/* raise inexact flag */
+		if (huge + x > 0.0)
+			u.bits.manl &= ~m;
+	}
+	return u.e;
+}
+#endif