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authorIan Moffett <ian@osmora.org>2024-03-07 17:28:00 -0500
committerIan Moffett <ian@osmora.org>2024-03-07 17:28:32 -0500
commitbd5969fc876a10b18613302db7087ef3c40f18e1 (patch)
tree7c2b8619afe902abf99570df2873fbdf40a4d1a1 /lib/mlibc/options/ansi/musl-generic-math/cbrtl.c
parenta95b38b1b92b172e6cc4e8e56a88a30cc65907b0 (diff)
lib: Add mlibc
Signed-off-by: Ian Moffett <ian@osmora.org>
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/cbrtl.c')
-rw-r--r--lib/mlibc/options/ansi/musl-generic-math/cbrtl.c124
1 files changed, 124 insertions, 0 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/cbrtl.c b/lib/mlibc/options/ansi/musl-generic-math/cbrtl.c
new file mode 100644
index 0000000..ceff913
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+++ b/lib/mlibc/options/ansi/musl-generic-math/cbrtl.c
@@ -0,0 +1,124 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_cbrtl.c */
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2009-2011, Bruce D. Evans, Steven G. Kargl, David Schultz.
+ *
+ * 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.
+ * ====================================================
+ *
+ * The argument reduction and testing for exceptional cases was
+ * written by Steven G. Kargl with input from Bruce D. Evans
+ * and David A. Schultz.
+ */
+
+#include "libm.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double cbrtl(long double x)
+{
+ return cbrt(x);
+}
+#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
+static const unsigned B1 = 709958130; /* B1 = (127-127.0/3-0.03306235651)*2**23 */
+
+long double cbrtl(long double x)
+{
+ union ldshape u = {x}, v;
+ union {float f; uint32_t i;} uft;
+ long double r, s, t, w;
+ double_t dr, dt, dx;
+ float_t ft;
+ int e = u.i.se & 0x7fff;
+ int sign = u.i.se & 0x8000;
+
+ /*
+ * If x = +-Inf, then cbrt(x) = +-Inf.
+ * If x = NaN, then cbrt(x) = NaN.
+ */
+ if (e == 0x7fff)
+ return x + x;
+ if (e == 0) {
+ /* Adjust subnormal numbers. */
+ u.f *= 0x1p120;
+ e = u.i.se & 0x7fff;
+ /* If x = +-0, then cbrt(x) = +-0. */
+ if (e == 0)
+ return x;
+ e -= 120;
+ }
+ e -= 0x3fff;
+ u.i.se = 0x3fff;
+ x = u.f;
+ switch (e % 3) {
+ case 1:
+ case -2:
+ x *= 2;
+ e--;
+ break;
+ case 2:
+ case -1:
+ x *= 4;
+ e -= 2;
+ break;
+ }
+ v.f = 1.0;
+ v.i.se = sign | (0x3fff + e/3);
+
+ /*
+ * The following is the guts of s_cbrtf, with the handling of
+ * special values removed and extra care for accuracy not taken,
+ * but with most of the extra accuracy not discarded.
+ */
+
+ /* ~5-bit estimate: */
+ uft.f = x;
+ uft.i = (uft.i & 0x7fffffff)/3 + B1;
+ ft = uft.f;
+
+ /* ~16-bit estimate: */
+ dx = x;
+ dt = ft;
+ dr = dt * dt * dt;
+ dt = dt * (dx + dx + dr) / (dx + dr + dr);
+
+ /* ~47-bit estimate: */
+ dr = dt * dt * dt;
+ dt = dt * (dx + dx + dr) / (dx + dr + dr);
+
+#if LDBL_MANT_DIG == 64
+ /*
+ * dt is cbrtl(x) to ~47 bits (after x has been reduced to 1 <= x < 8).
+ * Round it away from zero to 32 bits (32 so that t*t is exact, and
+ * away from zero for technical reasons).
+ */
+ t = dt + (0x1.0p32L + 0x1.0p-31L) - 0x1.0p32;
+#elif LDBL_MANT_DIG == 113
+ /*
+ * Round dt away from zero to 47 bits. Since we don't trust the 47,
+ * add 2 47-bit ulps instead of 1 to round up. Rounding is slow and
+ * might be avoidable in this case, since on most machines dt will
+ * have been evaluated in 53-bit precision and the technical reasons
+ * for rounding up might not apply to either case in cbrtl() since
+ * dt is much more accurate than needed.
+ */
+ t = dt + 0x2.0p-46 + 0x1.0p60L - 0x1.0p60;
+#endif
+
+ /*
+ * Final step Newton iteration to 64 or 113 bits with
+ * error < 0.667 ulps
+ */
+ s = t*t; /* t*t is exact */
+ r = x/s; /* error <= 0.5 ulps; |r| < |t| */
+ w = t+t; /* t+t is exact */
+ r = (r-t)/(w+r); /* r-t is exact; w+r ~= 3*t */
+ t = t+t*r; /* error <= 0.5 + 0.5/3 + epsilon */
+
+ t *= v.f;
+ return t;
+}
+#endif