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modf.S revision 1.6.56.1
      1  1.6.56.1      yamt /*	$NetBSD: modf.S,v 1.6.56.1 2014/05/22 11:36:49 yamt Exp $	*/
      2       1.5  christos 
      3       1.1       cgd /*
      4       1.1       cgd  * Copyright (c) 1992, 1993
      5       1.1       cgd  *	The Regents of the University of California.  All rights reserved.
      6       1.1       cgd  *
      7       1.1       cgd  * This software was developed by the Computer Systems Engineering group
      8       1.1       cgd  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
      9       1.1       cgd  * contributed to Berkeley.
     10       1.1       cgd  *
     11       1.1       cgd  * Redistribution and use in source and binary forms, with or without
     12       1.1       cgd  * modification, are permitted provided that the following conditions
     13       1.1       cgd  * are met:
     14       1.1       cgd  * 1. Redistributions of source code must retain the above copyright
     15       1.1       cgd  *    notice, this list of conditions and the following disclaimer.
     16       1.1       cgd  * 2. Redistributions in binary form must reproduce the above copyright
     17       1.1       cgd  *    notice, this list of conditions and the following disclaimer in the
     18       1.1       cgd  *    documentation and/or other materials provided with the distribution.
     19       1.6       agc  * 3. Neither the name of the University nor the names of its contributors
     20       1.1       cgd  *    may be used to endorse or promote products derived from this software
     21       1.1       cgd  *    without specific prior written permission.
     22       1.1       cgd  *
     23       1.1       cgd  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     24       1.1       cgd  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     25       1.1       cgd  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     26       1.1       cgd  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     27       1.1       cgd  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     28       1.1       cgd  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     29       1.1       cgd  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     30       1.1       cgd  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     31       1.1       cgd  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     32       1.1       cgd  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     33       1.1       cgd  * SUCH DAMAGE.
     34       1.1       cgd  *
     35       1.1       cgd  * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp
     36       1.1       cgd  */
     37       1.1       cgd 
     38       1.5  christos #include <machine/asm.h>
     39       1.1       cgd #if defined(LIBC_SCCS) && !defined(lint)
     40       1.5  christos #if 0
     41       1.1       cgd 	.asciz "@(#)modf.s	8.1 (Berkeley) 6/4/93"
     42       1.5  christos #else
     43  1.6.56.1      yamt 	RCSID("$NetBSD: modf.S,v 1.6.56.1 2014/05/22 11:36:49 yamt Exp $")
     44       1.5  christos #endif
     45       1.1       cgd #endif /* LIBC_SCCS and not lint */
     46       1.1       cgd 
     47       1.1       cgd #include <machine/fsr.h>
     48       1.1       cgd 
     49       1.1       cgd /*
     50       1.1       cgd  * double modf(double val, double *iptr)
     51       1.1       cgd  *
     52       1.1       cgd  * Returns the fractional part of `val', storing the integer part of
     53       1.1       cgd  * `val' in *iptr.  Both *iptr and the return value have the same sign
     54       1.1       cgd  * as `val'.
     55       1.1       cgd  *
     56       1.1       cgd  * Method:
     57       1.1       cgd  *
     58       1.1       cgd  * We use the fpu's normalization hardware to compute the integer portion
     59       1.1       cgd  * of the double precision argument.  Sun IEEE double precision numbers
     60       1.1       cgd  * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign,
     61       1.1       cgd  * with the sign occupying bit 31 of word 0, and the exponent bits 30:20
     62       1.1       cgd  * of word 0.  Thus, values >= 2^52 are by definition integers.
     63       1.1       cgd  *
     64       1.1       cgd  * If we take a value that is in the range [+0..2^52) and add 2^52, all
     65       1.1       cgd  * of the fractional bits fall out and all of the integer bits are summed
     66       1.1       cgd  * with 2^52.  If we then subtract 2^52, we get those integer bits back.
     67       1.1       cgd  * This must be done with rounding set to `towards 0' or `towards -inf'.
     68       1.1       cgd  * `Toward -inf' fails when the value is 0 (we get -0 back)....
     69       1.1       cgd  *
     70       1.1       cgd  * Note that this method will work anywhere, but is machine dependent in
     71       1.1       cgd  * various aspects.
     72       1.1       cgd  *
     73       1.1       cgd  * Stack usage:
     74       1.1       cgd  *	4@[%fp - 4]	saved %fsr
     75       1.1       cgd  *	4@[%fp - 8]	new %fsr with rounding set to `towards 0'
     76       1.1       cgd  *	8@[%fp - 16]	space for moving between %i and %f registers
     77       1.1       cgd  * Register usage:
     78       1.1       cgd  *	%i0%i1		double val;
     79       1.1       cgd  *	%l0		scratch
     80       1.1       cgd  *	%l1		sign bit (0x80000000)
     81       1.1       cgd  *	%i2		double *iptr;
     82       1.1       cgd  *	%f2:f3		`magic number' 2^52, in fpu registers
     83       1.1       cgd  *	%f4:f5		double v, in fpu registers
     84       1.1       cgd  */
     85       1.1       cgd 
     86       1.1       cgd 	.align	8
     87       1.1       cgd Lmagic:
     88       1.1       cgd 	.word	0x43300000	! sign = 0, exponent = 52 + 1023, mantissa = 0
     89       1.1       cgd 	.word	0		! (i.e., .double 0r4503599627370496e+00)
     90       1.1       cgd 
     91       1.1       cgd L0:
     92       1.1       cgd 	.word	0		! 0.0
     93       1.1       cgd 	.word	0
     94       1.1       cgd 
     95       1.1       cgd ENTRY(modf)
     96       1.1       cgd 	save	%sp, -64-16, %sp
     97       1.1       cgd 
     98       1.1       cgd 	/*
     99       1.1       cgd 	 * First, compute v = abs(val) by clearing sign bit,
    100       1.1       cgd 	 * and then set up the fpu registers.  This would be
    101       1.1       cgd 	 * much easier if we could do alu operations on fpu registers!
    102       1.1       cgd 	 */
    103       1.2        pk 	sethi	%hi(0x80000000), %l1	! sign bit
    104       1.1       cgd 	andn	%i0, %l1, %l0
    105       1.1       cgd 	st	%l0, [%fp - 16]
    106  1.6.56.1      yamt #ifdef __PIC__
    107       1.3        pk 	PICCY_SET(Lmagic, %l0, %o7)
    108       1.3        pk 	ldd	[%l0], %f2
    109       1.3        pk #else
    110       1.1       cgd 	sethi	%hi(Lmagic), %l0
    111       1.1       cgd 	ldd	[%l0 + %lo(Lmagic)], %f2
    112       1.3        pk #endif
    113       1.1       cgd 	st	%i1, [%fp - 12]
    114       1.1       cgd 	ldd	[%fp - 16], %f4		! %f4:f5 = v
    115       1.1       cgd 
    116       1.1       cgd 	/*
    117       1.1       cgd 	 * Is %f4:f5 >= %f2:f3 ?  If so, it is all integer bits.
    118       1.1       cgd 	 * It is probably less, though.
    119       1.1       cgd 	 */
    120       1.1       cgd 	fcmped	%f4, %f2
    121       1.1       cgd 	nop				! fpop2 delay
    122       1.1       cgd 	fbuge	Lbig			! if >= (or unordered), go out
    123       1.1       cgd 	nop
    124       1.1       cgd 
    125       1.1       cgd 	/*
    126       1.1       cgd 	 * v < 2^52, so add 2^52, then subtract 2^52, but do it all
    127       1.1       cgd 	 * with rounding set towards zero.  We leave any enabled
    128       1.1       cgd 	 * traps enabled, but change the rounding mode.  This might
    129       1.1       cgd 	 * not be so good.  Oh well....
    130       1.1       cgd 	 */
    131       1.1       cgd 	st	%fsr, [%fp - 4]		! %l5 = current FSR mode
    132       1.1       cgd 	set	FSR_RD, %l3		! %l3 = rounding direction mask
    133       1.1       cgd 	ld	[%fp - 4], %l5
    134       1.1       cgd 	set	FSR_RD_RZ << FSR_RD_SHIFT, %l4
    135       1.1       cgd 	andn	%l5, %l3, %l6
    136       1.1       cgd 	or	%l6, %l4, %l6		! round towards zero, please
    137       1.1       cgd 	and	%l5, %l3, %l5		! save original rounding mode
    138       1.1       cgd 	st	%l6, [%fp - 8]
    139       1.1       cgd 	ld	[%fp - 8], %fsr
    140       1.1       cgd 
    141       1.1       cgd 	faddd	%f4, %f2, %f4		! %f4:f5 += 2^52
    142       1.1       cgd 	fsubd	%f4, %f2, %f4		! %f4:f5 -= 2^52
    143       1.1       cgd 
    144       1.1       cgd 	/*
    145       1.1       cgd 	 * Restore %fsr, but leave exceptions accrued.
    146       1.1       cgd 	 */
    147       1.1       cgd 	st	%fsr, [%fp - 4]
    148       1.1       cgd 	ld	[%fp - 4], %l6
    149       1.1       cgd 	andn	%l6, %l3, %l6		! %l6 = %fsr & ~FSR_RD;
    150       1.1       cgd 	or	%l5, %l6, %l5		! %l5 |= %l6;
    151       1.1       cgd 	st	%l5, [%fp - 4]
    152       1.1       cgd 	ld	[%fp - 4], %fsr		! restore %fsr, leaving accrued stuff
    153       1.1       cgd 
    154       1.1       cgd 	/*
    155       1.1       cgd 	 * Now insert the original sign in %f4:f5.
    156       1.1       cgd 	 * This is a lot of work, so it is conditional here.
    157       1.1       cgd 	 */
    158       1.1       cgd 	btst	%l1, %i0
    159       1.1       cgd 	be	1f
    160       1.1       cgd 	nop
    161       1.1       cgd 	st	%f4, [%fp - 16]
    162       1.1       cgd 	ld	[%fp - 16], %g1
    163       1.1       cgd 	or	%l1, %g1, %g1
    164       1.1       cgd 	st	%g1, [%fp - 16]
    165       1.1       cgd 	ld	[%fp - 16], %f4
    166       1.1       cgd 1:
    167       1.1       cgd 
    168       1.1       cgd 	/*
    169       1.1       cgd 	 * The value in %f4:f5 is now the integer portion of the original
    170       1.1       cgd 	 * argument.  We need to store this in *ival (%i2), subtract it
    171       1.1       cgd 	 * from the original value argument (%i0:i1), and return the result.
    172       1.1       cgd 	 */
    173       1.1       cgd 	std	%f4, [%i2]		! *ival = %f4:f5;
    174       1.1       cgd 	std	%i0, [%fp - 16]
    175       1.1       cgd 	ldd	[%fp - 16], %f0		! %f0:f1 = val;
    176       1.1       cgd 	fsubd	%f0, %f4, %f0		! %f0:f1 -= %f4:f5;
    177       1.1       cgd 	ret
    178       1.1       cgd 	restore
    179       1.1       cgd 
    180       1.1       cgd Lbig:
    181       1.1       cgd 	/*
    182       1.1       cgd 	 * We get here if the original comparison of %f4:f5 (v) to
    183       1.1       cgd 	 * %f2:f3 (2^52) came out `greater or unordered'.  In this
    184       1.1       cgd 	 * case the integer part is the original value, and the
    185       1.1       cgd 	 * fractional part is 0.
    186       1.1       cgd 	 */
    187  1.6.56.1      yamt #ifdef __PIC__
    188       1.3        pk 	PICCY_SET(L0, %l0, %o7)
    189       1.3        pk 	std	%f0, [%i2]		! *ival = val;
    190       1.3        pk 	ldd	[%l0], %f0		! return 0.0;
    191       1.3        pk #else
    192       1.1       cgd 	sethi	%hi(L0), %l0
    193       1.1       cgd 	std	%f0, [%i2]		! *ival = val;
    194       1.1       cgd 	ldd	[%l0 + %lo(L0)], %f0	! return 0.0;
    195       1.3        pk #endif
    196       1.1       cgd 	ret
    197       1.1       cgd 	restore
    198