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modf.S revision 1.1.10.1
      1  1.1.10.1  mycroft /*	$NetBSD: modf.S,v 1.1.10.1 2000/07/26 23:55:00 mycroft Exp $	*/
      2       1.1      eeh 
      3       1.1      eeh /*
      4       1.1      eeh  * Copyright (c) 1992, 1993
      5       1.1      eeh  *	The Regents of the University of California.  All rights reserved.
      6       1.1      eeh  *
      7       1.1      eeh  * This software was developed by the Computer Systems Engineering group
      8       1.1      eeh  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
      9       1.1      eeh  * contributed to Berkeley.
     10       1.1      eeh  *
     11       1.1      eeh  * Redistribution and use in source and binary forms, with or without
     12       1.1      eeh  * modification, are permitted provided that the following conditions
     13       1.1      eeh  * are met:
     14       1.1      eeh  * 1. Redistributions of source code must retain the above copyright
     15       1.1      eeh  *    notice, this list of conditions and the following disclaimer.
     16       1.1      eeh  * 2. Redistributions in binary form must reproduce the above copyright
     17       1.1      eeh  *    notice, this list of conditions and the following disclaimer in the
     18       1.1      eeh  *    documentation and/or other materials provided with the distribution.
     19       1.1      eeh  * 3. All advertising materials mentioning features or use of this software
     20       1.1      eeh  *    must display the following acknowledgement:
     21       1.1      eeh  *	This product includes software developed by the University of
     22       1.1      eeh  *	California, Berkeley and its contributors.
     23       1.1      eeh  * 4. Neither the name of the University nor the names of its contributors
     24       1.1      eeh  *    may be used to endorse or promote products derived from this software
     25       1.1      eeh  *    without specific prior written permission.
     26       1.1      eeh  *
     27       1.1      eeh  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     28       1.1      eeh  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     29       1.1      eeh  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     30       1.1      eeh  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     31       1.1      eeh  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     32       1.1      eeh  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     33       1.1      eeh  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     34       1.1      eeh  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     35       1.1      eeh  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     36       1.1      eeh  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     37       1.1      eeh  * SUCH DAMAGE.
     38       1.1      eeh  *
     39       1.1      eeh  * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp
     40       1.1      eeh  */
     41       1.1      eeh 
     42       1.1      eeh #include <machine/asm.h>
     43       1.1      eeh #if defined(LIBC_SCCS) && !defined(lint)
     44       1.1      eeh #if 0
     45       1.1      eeh 	.asciz "@(#)modf.s	8.1 (Berkeley) 6/4/93"
     46       1.1      eeh #else
     47  1.1.10.1  mycroft 	RCSID("$NetBSD: modf.S,v 1.1.10.1 2000/07/26 23:55:00 mycroft Exp $")
     48       1.1      eeh #endif
     49       1.1      eeh #endif /* LIBC_SCCS and not lint */
     50       1.1      eeh 
     51       1.1      eeh #include <machine/fsr.h>
     52       1.1      eeh 
     53       1.1      eeh /*
     54       1.1      eeh  * double modf(double val, double *iptr)
     55       1.1      eeh  *
     56       1.1      eeh  * Returns the fractional part of `val', storing the integer part of
     57       1.1      eeh  * `val' in *iptr.  Both *iptr and the return value have the same sign
     58       1.1      eeh  * as `val'.
     59       1.1      eeh  *
     60       1.1      eeh  * Method:
     61       1.1      eeh  *
     62       1.1      eeh  * We use the fpu's normalization hardware to compute the integer portion
     63       1.1      eeh  * of the double precision argument.  Sun IEEE double precision numbers
     64       1.1      eeh  * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign,
     65       1.1      eeh  * with the sign occupying bit 31 of word 0, and the exponent bits 30:20
     66       1.1      eeh  * of word 0.  Thus, values >= 2^52 are by definition integers.
     67       1.1      eeh  *
     68       1.1      eeh  * If we take a value that is in the range [+0..2^52) and add 2^52, all
     69       1.1      eeh  * of the fractional bits fall out and all of the integer bits are summed
     70       1.1      eeh  * with 2^52.  If we then subtract 2^52, we get those integer bits back.
     71       1.1      eeh  * This must be done with rounding set to `towards 0' or `towards -inf'.
     72       1.1      eeh  * `Toward -inf' fails when the value is 0 (we get -0 back)....
     73       1.1      eeh  *
     74       1.1      eeh  * Note that this method will work anywhere, but is machine dependent in
     75       1.1      eeh  * various aspects.
     76       1.1      eeh  *
     77       1.1      eeh  * Stack usage:
     78  1.1.10.1  mycroft  *	4@[%fp + BIAS - 4]	saved %fsr
     79  1.1.10.1  mycroft  *	4@[%fp + BIAS - 8]	new %fsr with rounding set to `towards 0'
     80  1.1.10.1  mycroft  *	8@[%fp + BIAS - 16]	space for moving between %i and %f registers
     81       1.1      eeh  * Register usage:
     82       1.1      eeh  *	%i0%i1		double val;
     83       1.1      eeh  *	%l0		scratch
     84       1.1      eeh  *	%l1		sign bit (0x80000000)
     85       1.1      eeh  *	%i2		double *iptr;
     86       1.1      eeh  *	%f2:f3		`magic number' 2^52, in fpu registers
     87       1.1      eeh  *	%f4:f5		double v, in fpu registers
     88       1.1      eeh  */
     89       1.1      eeh 
     90       1.1      eeh 	.align	8
     91       1.1      eeh Lmagic:
     92       1.1      eeh 	.word	0x43300000	! sign = 0, exponent = 52 + 1023, mantissa = 0
     93       1.1      eeh 	.word	0		! (i.e., .double 0r4503599627370496e+00)
     94       1.1      eeh 
     95       1.1      eeh L0:
     96       1.1      eeh 	.word	0		! 0.0
     97       1.1      eeh 	.word	0
     98       1.1      eeh 
     99       1.1      eeh ENTRY(modf)
    100  1.1.10.1  mycroft 	save	%sp, -CC64FSZ-16, %sp
    101       1.1      eeh 
    102       1.1      eeh 	/*
    103       1.1      eeh 	 * First, compute v = abs(val) by clearing sign bit,
    104       1.1      eeh 	 * and then set up the fpu registers.  This would be
    105       1.1      eeh 	 * much easier if we could do alu operations on fpu registers!
    106       1.1      eeh 	 */
    107       1.1      eeh 	sethi	%hi(0x80000000), %l1	! sign bit
    108       1.1      eeh 	andn	%i0, %l1, %l0
    109  1.1.10.1  mycroft 	st	%l0, [%fp + BIAS - 16]
    110       1.1      eeh #ifdef PIC
    111       1.1      eeh 	PICCY_SET(Lmagic, %l0, %o7)
    112       1.1      eeh 	ldd	[%l0], %f2
    113       1.1      eeh #else
    114       1.1      eeh 	sethi	%hi(Lmagic), %l0
    115       1.1      eeh 	ldd	[%l0 + %lo(Lmagic)], %f2
    116       1.1      eeh #endif
    117  1.1.10.1  mycroft 	st	%i1, [%fp + BIAS - 12]
    118  1.1.10.1  mycroft 	ldd	[%fp + BIAS - 16], %f4		! %f4:f5 = v
    119       1.1      eeh 
    120       1.1      eeh 	/*
    121       1.1      eeh 	 * Is %f4:f5 >= %f2:f3 ?  If so, it is all integer bits.
    122       1.1      eeh 	 * It is probably less, though.
    123       1.1      eeh 	 */
    124       1.1      eeh 	fcmped	%f4, %f2
    125       1.1      eeh 	nop				! fpop2 delay
    126       1.1      eeh 	fbuge	Lbig			! if >= (or unordered), go out
    127       1.1      eeh 	nop
    128       1.1      eeh 
    129       1.1      eeh 	/*
    130       1.1      eeh 	 * v < 2^52, so add 2^52, then subtract 2^52, but do it all
    131       1.1      eeh 	 * with rounding set towards zero.  We leave any enabled
    132       1.1      eeh 	 * traps enabled, but change the rounding mode.  This might
    133       1.1      eeh 	 * not be so good.  Oh well....
    134       1.1      eeh 	 */
    135  1.1.10.1  mycroft 	st	%fsr, [%fp + BIAS - 4]		! %l5 = current FSR mode
    136       1.1      eeh 	set	FSR_RD, %l3		! %l3 = rounding direction mask
    137  1.1.10.1  mycroft 	ld	[%fp + BIAS - 4], %l5
    138       1.1      eeh 	set	FSR_RD_RZ << FSR_RD_SHIFT, %l4
    139       1.1      eeh 	andn	%l5, %l3, %l6
    140       1.1      eeh 	or	%l6, %l4, %l6		! round towards zero, please
    141       1.1      eeh 	and	%l5, %l3, %l5		! save original rounding mode
    142  1.1.10.1  mycroft 	st	%l6, [%fp + BIAS - 8]
    143  1.1.10.1  mycroft 	ld	[%fp + BIAS - 8], %fsr
    144       1.1      eeh 
    145       1.1      eeh 	faddd	%f4, %f2, %f4		! %f4:f5 += 2^52
    146       1.1      eeh 	fsubd	%f4, %f2, %f4		! %f4:f5 -= 2^52
    147       1.1      eeh 
    148       1.1      eeh 	/*
    149       1.1      eeh 	 * Restore %fsr, but leave exceptions accrued.
    150       1.1      eeh 	 */
    151  1.1.10.1  mycroft 	st	%fsr, [%fp + BIAS - 4]
    152  1.1.10.1  mycroft 	ld	[%fp + BIAS - 4], %l6
    153       1.1      eeh 	andn	%l6, %l3, %l6		! %l6 = %fsr & ~FSR_RD;
    154       1.1      eeh 	or	%l5, %l6, %l5		! %l5 |= %l6;
    155  1.1.10.1  mycroft 	st	%l5, [%fp + BIAS - 4]
    156  1.1.10.1  mycroft 	ld	[%fp + BIAS - 4], %fsr		! restore %fsr, leaving accrued stuff
    157       1.1      eeh 
    158       1.1      eeh 	/*
    159       1.1      eeh 	 * Now insert the original sign in %f4:f5.
    160       1.1      eeh 	 * This is a lot of work, so it is conditional here.
    161       1.1      eeh 	 */
    162       1.1      eeh 	btst	%l1, %i0
    163       1.1      eeh 	be	1f
    164       1.1      eeh 	nop
    165  1.1.10.1  mycroft 	st	%f4, [%fp + BIAS - 16]
    166  1.1.10.1  mycroft 	ld	[%fp + BIAS - 16], %g1
    167       1.1      eeh 	or	%l1, %g1, %g1
    168  1.1.10.1  mycroft 	st	%g1, [%fp + BIAS - 16]
    169  1.1.10.1  mycroft 	ld	[%fp + BIAS - 16], %f4
    170       1.1      eeh 1:
    171       1.1      eeh 
    172       1.1      eeh 	/*
    173       1.1      eeh 	 * The value in %f4:f5 is now the integer portion of the original
    174       1.1      eeh 	 * argument.  We need to store this in *ival (%i2), subtract it
    175       1.1      eeh 	 * from the original value argument (%i0:i1), and return the result.
    176       1.1      eeh 	 */
    177       1.1      eeh 	std	%f4, [%i2]		! *ival = %f4:f5;
    178  1.1.10.1  mycroft 	std	%i0, [%fp + BIAS - 16]
    179  1.1.10.1  mycroft 	ldd	[%fp + BIAS - 16], %f0		! %f0:f1 = val;
    180       1.1      eeh 	fsubd	%f0, %f4, %f0		! %f0:f1 -= %f4:f5;
    181       1.1      eeh 	ret
    182       1.1      eeh 	restore
    183       1.1      eeh 
    184       1.1      eeh Lbig:
    185       1.1      eeh 	/*
    186       1.1      eeh 	 * We get here if the original comparison of %f4:f5 (v) to
    187       1.1      eeh 	 * %f2:f3 (2^52) came out `greater or unordered'.  In this
    188       1.1      eeh 	 * case the integer part is the original value, and the
    189       1.1      eeh 	 * fractional part is 0.
    190       1.1      eeh 	 */
    191       1.1      eeh #ifdef PIC
    192       1.1      eeh 	PICCY_SET(L0, %l0, %o7)
    193       1.1      eeh 	std	%f0, [%i2]		! *ival = val;
    194       1.1      eeh 	ldd	[%l0], %f0		! return 0.0;
    195       1.1      eeh #else
    196       1.1      eeh 	sethi	%hi(L0), %l0
    197       1.1      eeh 	std	%f0, [%i2]		! *ival = val;
    198       1.1      eeh 	ldd	[%l0 + %lo(L0)], %f0	! return 0.0;
    199       1.1      eeh #endif
    200       1.1      eeh 	ret
    201       1.1      eeh 	restore
    202