/* * Copyright (c) 1992, 1993 * The Regents of the University of California. All rights reserved. * * This software was developed by the Computer Systems Engineering group * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and * contributed to Berkeley. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. All advertising materials mentioning features or use of this software * must display the following acknowledgement: * This product includes software developed by the University of * California, Berkeley and its contributors. * 4. Neither the name of the University nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. * * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp * $Id: modf.s,v 1.1 1993/09/05 22:17:57 deraadt Exp $ */ #if defined(LIBC_SCCS) && !defined(lint) .asciz "@(#)modf.s 8.1 (Berkeley) 6/4/93" #endif /* LIBC_SCCS and not lint */ #include "DEFS.h" #include /* * double modf(double val, double *iptr) * * Returns the fractional part of `val', storing the integer part of * `val' in *iptr. Both *iptr and the return value have the same sign * as `val'. * * Method: * * We use the fpu's normalization hardware to compute the integer portion * of the double precision argument. Sun IEEE double precision numbers * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign, * with the sign occupying bit 31 of word 0, and the exponent bits 30:20 * of word 0. Thus, values >= 2^52 are by definition integers. * * If we take a value that is in the range [+0..2^52) and add 2^52, all * of the fractional bits fall out and all of the integer bits are summed * with 2^52. If we then subtract 2^52, we get those integer bits back. * This must be done with rounding set to `towards 0' or `towards -inf'. * `Toward -inf' fails when the value is 0 (we get -0 back).... * * Note that this method will work anywhere, but is machine dependent in * various aspects. * * Stack usage: * 4@[%fp - 4] saved %fsr * 4@[%fp - 8] new %fsr with rounding set to `towards 0' * 8@[%fp - 16] space for moving between %i and %f registers * Register usage: * %i0%i1 double val; * %l0 scratch * %l1 sign bit (0x80000000) * %i2 double *iptr; * %f2:f3 `magic number' 2^52, in fpu registers * %f4:f5 double v, in fpu registers */ .align 8 Lmagic: .word 0x43300000 ! sign = 0, exponent = 52 + 1023, mantissa = 0 .word 0 ! (i.e., .double 0r4503599627370496e+00) L0: .word 0 ! 0.0 .word 0 ENTRY(modf) save %sp, -64-16, %sp /* * First, compute v = abs(val) by clearing sign bit, * and then set up the fpu registers. This would be * much easier if we could do alu operations on fpu registers! */ sethi 0x80000000, %l1 ! sign bit andn %i0, %l1, %l0 st %l0, [%fp - 16] sethi %hi(Lmagic), %l0 ldd [%l0 + %lo(Lmagic)], %f2 st %i1, [%fp - 12] ldd [%fp - 16], %f4 ! %f4:f5 = v /* * Is %f4:f5 >= %f2:f3 ? If so, it is all integer bits. * It is probably less, though. */ fcmped %f4, %f2 nop ! fpop2 delay fbuge Lbig ! if >= (or unordered), go out nop /* * v < 2^52, so add 2^52, then subtract 2^52, but do it all * with rounding set towards zero. We leave any enabled * traps enabled, but change the rounding mode. This might * not be so good. Oh well.... */ st %fsr, [%fp - 4] ! %l5 = current FSR mode set FSR_RD, %l3 ! %l3 = rounding direction mask ld [%fp - 4], %l5 set FSR_RD_RZ << FSR_RD_SHIFT, %l4 andn %l5, %l3, %l6 or %l6, %l4, %l6 ! round towards zero, please and %l5, %l3, %l5 ! save original rounding mode st %l6, [%fp - 8] ld [%fp - 8], %fsr faddd %f4, %f2, %f4 ! %f4:f5 += 2^52 fsubd %f4, %f2, %f4 ! %f4:f5 -= 2^52 /* * Restore %fsr, but leave exceptions accrued. */ st %fsr, [%fp - 4] ld [%fp - 4], %l6 andn %l6, %l3, %l6 ! %l6 = %fsr & ~FSR_RD; or %l5, %l6, %l5 ! %l5 |= %l6; st %l5, [%fp - 4] ld [%fp - 4], %fsr ! restore %fsr, leaving accrued stuff /* * Now insert the original sign in %f4:f5. * This is a lot of work, so it is conditional here. */ btst %l1, %i0 be 1f nop st %f4, [%fp - 16] ld [%fp - 16], %g1 or %l1, %g1, %g1 st %g1, [%fp - 16] ld [%fp - 16], %f4 1: /* * The value in %f4:f5 is now the integer portion of the original * argument. We need to store this in *ival (%i2), subtract it * from the original value argument (%i0:i1), and return the result. */ std %f4, [%i2] ! *ival = %f4:f5; std %i0, [%fp - 16] ldd [%fp - 16], %f0 ! %f0:f1 = val; fsubd %f0, %f4, %f0 ! %f0:f1 -= %f4:f5; ret restore Lbig: /* * We get here if the original comparison of %f4:f5 (v) to * %f2:f3 (2^52) came out `greater or unordered'. In this * case the integer part is the original value, and the * fractional part is 0. */ sethi %hi(L0), %l0 std %f0, [%i2] ! *ival = val; ldd [%l0 + %lo(L0)], %f0 ! return 0.0; ret restore