diff options
Diffstat (limited to 'usr/src/lib/libm/common/m9x/remquol.c')
-rw-r--r-- | usr/src/lib/libm/common/m9x/remquol.c | 347 |
1 files changed, 347 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/m9x/remquol.c b/usr/src/lib/libm/common/m9x/remquol.c new file mode 100644 index 0000000000..54fba44e99 --- /dev/null +++ b/usr/src/lib/libm/common/m9x/remquol.c @@ -0,0 +1,347 @@ +/* + * CDDL HEADER START + * + * The contents of this file are subject to the terms of the + * Common Development and Distribution License (the "License"). + * You may not use this file except in compliance with the License. + * + * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE + * or http://www.opensolaris.org/os/licensing. + * See the License for the specific language governing permissions + * and limitations under the License. + * + * When distributing Covered Code, include this CDDL HEADER in each + * file and include the License file at usr/src/OPENSOLARIS.LICENSE. + * If applicable, add the following below this CDDL HEADER, with the + * fields enclosed by brackets "[]" replaced with your own identifying + * information: Portions Copyright [yyyy] [name of copyright owner] + * + * CDDL HEADER END + */ + +/* + * Copyright 2011 Nexenta Systems, Inc. All rights reserved. + */ +/* + * Copyright 2006 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + */ + +#pragma weak remquol = __remquol + +#include "libm.h" +#include "libm_synonyms.h" +#if defined(__SUNPRO_C) +#include <sunmath.h> /* fabsl */ +#endif +/* INDENT OFF */ +static const int + is = -0x7fffffff - 1, + im = 0x0000ffff, + iu = 0x00010000; + +static const long double zero = 0.0L, one = 1.0L; +/* INDENT ON */ + +#if defined(__sparc) +#define __H0(x) ((int *) &x)[0] +#define __H1(x) ((int *) &x)[1] +#define __H2(x) ((int *) &x)[2] +#define __H3(x) ((int *) &x)[3] +#else +#error Unsupported architecture +#endif + +/* + * On entrance: *quo is initialized to 0, x finite and y non-zero & ordered + */ +static long double +fmodquol(long double x, long double y, int *quo) { + long double a, b; + int n, ix, iy, k, sx, sq, m; + int hx; + int x0, y0, z0, carry; + unsigned x1, x2, x3, y1, y2, y3, z1, z2, z3; + + hx = __H0(x); + x1 = __H1(x); + x2 = __H2(x); + x3 = __H3(x); + y0 = __H0(y); + y1 = __H1(y); + y2 = __H2(y); + y3 = __H3(y); + + sx = hx & is; + sq = (hx ^ y0) & is; + x0 = hx ^ sx; + y0 &= ~0x80000000; + + a = fabsl(x); + b = fabsl(y); + if (a <= b) { + if (a < b) + return (x); + else { + *quo = 1 + (sq >> 30); + return (zero * x); + } + } + /* determine ix = ilogbl(x) */ + if (x0 < iu) { /* subnormal x */ + ix = 0; + ix = -16382; + while (x0 == 0) { + ix -= 16; + x0 = x1 >> 16; + x1 = (x1 << 16) | (x2 >> 16); + x2 = (x2 << 16) | (x3 >> 16); + x3 = (x3 << 16); + } + while (x0 < iu) { + ix -= 1; + x0 = (x0 << 1) | (x1 >> 31); + x1 = (x1 << 1) | (x2 >> 31); + x2 = (x2 << 1) | (x3 >> 31); + x3 <<= 1; + } + } else { + ix = (x0 >> 16) - 16383; + x0 = iu | (x0 & im); + } + + /* determine iy = ilogbl(y) */ + if (y0 < iu) { /* subnormal y */ + iy = -16382; + while (y0 == 0) { + iy -= 16; + y0 = y1 >> 16; + y1 = (y1 << 16) | (y2 >> 16); + y2 = (y2 << 16) | (y3 >> 16); + y3 = (y3 << 16); + } + while (y0 < iu) { + iy -= 1; + y0 = (y0 << 1) | (y1 >> 31); + y1 = (y1 << 1) | (y2 >> 31); + y2 = (y2 << 1) | (y3 >> 31); + y3 <<= 1; + } + } else { + iy = (y0 >> 16) - 16383; + y0 = iu | (y0 & im); + } + + + /* fix point fmod */ + n = ix - iy; + m = 0; + while (n--) { + while (x0 == 0 && n >= 16) { + m <<= 16; + n -= 16; + x0 = x1 >> 16; + x1 = (x1 << 16) | (x2 >> 16); + x2 = (x2 << 16) | (x3 >> 16); + x3 = (x3 << 16); + } + while (x0 < iu && n >= 1) { + m += m; + n -= 1; + x0 = (x0 << 1) | (x1 >> 31); + x1 = (x1 << 1) | (x2 >> 31); + x2 = (x2 << 1) | (x3 >> 31); + x3 = (x3 << 1); + } + carry = 0; + z3 = x3 - y3; + carry = z3 > x3; + if (carry == 0) { + z2 = x2 - y2; + carry = z2 > x2; + } else { + z2 = x2 - y2 - 1; + carry = z2 >= x2; + } + if (carry == 0) { + z1 = x1 - y1; + carry = z1 > x1; + } else { + z1 = x1 - y1 - 1; + carry = z1 >= x1; + } + z0 = x0 - y0 - carry; + if (z0 < 0) { /* double x */ + x0 = x0 + x0 + ((x1 & is) != 0); + x1 = x1 + x1 + ((x2 & is) != 0); + x2 = x2 + x2 + ((x3 & is) != 0); + x3 = x3 + x3; + m += m; + } else { + m += 1; + if (z0 == 0) { + if ((z1 | z2 | z3) == 0) { + /* 0: we are done */ + if (n < 31) + m <<= (1 + n); + else + m = 0; + m &= ~0x80000000; + *quo = sq >= 0 ? m : -m; + __H0(a) = hx & is; + __H1(a) = __H2(a) = __H3(a) = 0; + return (a); + } + } + /* x = z << 1 */ + z0 = z0 + z0 + ((z1 & is) != 0); + z1 = z1 + z1 + ((z2 & is) != 0); + z2 = z2 + z2 + ((z3 & is) != 0); + z3 = z3 + z3; + x0 = z0; + x1 = z1; + x2 = z2; + x3 = z3; + m += m; + } + } + carry = 0; + z3 = x3 - y3; + carry = z3 > x3; + if (carry == 0) { + z2 = x2 - y2; + carry = z2 > x2; + } else { + z2 = x2 - y2 - 1; + carry = z2 >= x2; + } + if (carry == 0) { + z1 = x1 - y1; + carry = z1 > x1; + } else { + z1 = x1 - y1 - 1; + carry = z1 >= x1; + } + z0 = x0 - y0 - carry; + if (z0 >= 0) { + x0 = z0; + x1 = z1; + x2 = z2; + x3 = z3; + m += 1; + } + m &= ~0x80000000; + *quo = sq >= 0 ? m : -m; + + /* convert back to floating value and restore the sign */ + if ((x0 | x1 | x2 | x3) == 0) { + __H0(a) = hx & is; + __H1(a) = __H2(a) = __H3(a) = 0; + return (a); + } + while (x0 < iu) { + if (x0 == 0) { + iy -= 16; + x0 = x1 >> 16; + x1 = (x1 << 16) | (x2 >> 16); + x2 = (x2 << 16) | (x3 >> 16); + x3 = (x3 << 16); + } else { + x0 = x0 + x0 + ((x1 & is) != 0); + x1 = x1 + x1 + ((x2 & is) != 0); + x2 = x2 + x2 + ((x3 & is) != 0); + x3 = x3 + x3; + iy -= 1; + } + } + + /* normalize output */ + if (iy >= -16382) { + __H0(a) = sx | (x0 - iu) | ((iy + 16383) << 16); + __H1(a) = x1; + __H2(a) = x2; + __H3(a) = x3; + } else { /* subnormal output */ + n = -16382 - iy; + k = n & 31; + if (k <= 16) { + x3 = (x2 << (32 - k)) | (x3 >> k); + x2 = (x1 << (32 - k)) | (x2 >> k); + x1 = (x0 << (32 - k)) | (x1 >> k); + x0 >>= k; + } else { + x3 = (x2 << (32 - k)) | (x3 >> k); + x2 = (x1 << (32 - k)) | (x2 >> k); + x1 = (x0 << (32 - k)) | (x1 >> k); + x0 = 0; + } + while (n >= 32) { + n -= 32; + x3 = x2; + x2 = x1; + x1 = x0; + x0 = 0; + } + __H0(a) = x0 | sx; + __H1(a) = x1; + __H2(a) = x2; + __H3(a) = x3; + a *= one; + } + return (a); +} + +long double +remquol(long double x, long double y, int *quo) { + int hx, hy, sx, sq; + long double v; + + hx = __H0(x); /* high word of x */ + hy = __H0(y); /* high word of y */ + sx = hx & is; /* sign of x */ + sq = (hx ^ hy) & is; /* sign of x/y */ + hx ^= sx; /* |x| */ + hy &= ~0x80000000; + + /* purge off exception values */ + *quo = 0; + /* y=0, y is NaN, x is NaN or inf */ + if (y == 0.0L || y != y || hx >= 0x7fff0000) + return ((x * y) / (x * y)); + + y = fabsl(y); + x = fabsl(x); + if (hy <= 0x7ffdffff) { + x = fmodquol(x, y + y, quo); + *quo = ((*quo) & 0x3fffffff) << 1; + } + if (hy < 0x00020000) { + if (x + x > y) { + *quo += 1; + if (x == y) + x = zero; + else + x -= y; + if (x + x >= y) { + x -= y; + *quo += 1; + } + } + } else { + v = 0.5L * y; + if (x > v) { + *quo += 1; + if (x == y) + x = zero; + else + x -= y; + if (x >= v) { + x -= y; + *quo += 1; + } + } + } + if (sq != 0) + *quo = -(*quo); + return (sx == 0 ? x : -x); +} |