/* * 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" #if defined(__SUNPRO_C) #include /* 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); }