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n_support.S revision 1.10
      1  1.10   joerg /*	$NetBSD: n_support.S,v 1.10 2014/11/14 14:53:17 joerg Exp $	*/
      2   1.1   ragge /*
      3   1.1   ragge  * Copyright (c) 1985, 1993
      4   1.1   ragge  *	The Regents of the University of California.  All rights reserved.
      5   1.1   ragge  *
      6   1.1   ragge  * Redistribution and use in source and binary forms, with or without
      7   1.1   ragge  * modification, are permitted provided that the following conditions
      8   1.1   ragge  * are met:
      9   1.1   ragge  * 1. Redistributions of source code must retain the above copyright
     10   1.1   ragge  *    notice, this list of conditions and the following disclaimer.
     11   1.1   ragge  * 2. Redistributions in binary form must reproduce the above copyright
     12   1.1   ragge  *    notice, this list of conditions and the following disclaimer in the
     13   1.1   ragge  *    documentation and/or other materials provided with the distribution.
     14   1.6     agc  * 3. Neither the name of the University nor the names of its contributors
     15   1.1   ragge  *    may be used to endorse or promote products derived from this software
     16   1.1   ragge  *    without specific prior written permission.
     17   1.1   ragge  *
     18   1.1   ragge  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     19   1.1   ragge  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     20   1.1   ragge  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     21   1.1   ragge  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     22   1.1   ragge  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     23   1.1   ragge  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     24   1.1   ragge  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     25   1.1   ragge  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     26   1.1   ragge  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     27   1.1   ragge  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     28   1.1   ragge  * SUCH DAMAGE.
     29   1.1   ragge  *
     30   1.1   ragge  *	@(#)support.s	8.1 (Berkeley) 6/4/93
     31   1.1   ragge  */
     32   1.3    matt #include <machine/asm.h>
     33   1.3    matt 
     34   1.7  martin WEAK_ALIAS(logbl,logb)
     35  1.10   joerg WEAK_ALIAS(copysignl, _copysignl)
     36  1.10   joerg WEAK_ALIAS(_copysignl, copysign)
     37   1.7  martin 
     38   1.3    matt 	.text
     39   1.1   ragge _sccsid:
     40   1.3    matt 	.asciz "@(#)support.s\t1.3 (Berkeley) 8/21/85; 8.1 (ucb.elefunt) 6/4/93"
     41   1.1   ragge 
     42   1.1   ragge /*
     43   1.1   ragge  * copysign(x,y),
     44   1.1   ragge  * logb(x),
     45   1.1   ragge  * scalb(x,N),
     46   1.1   ragge  * finite(x),
     47   1.1   ragge  * drem(x,y),
     48   1.1   ragge  * Coded in vax assembly language by K.C. Ng,  3/14/85.
     49   1.1   ragge  * Revised by K.C. Ng on 4/9/85.
     50   1.1   ragge  */
     51   1.1   ragge 
     52   1.1   ragge /*
     53   1.3    matt  * double copysign(double x,double y)
     54   1.1   ragge  */
     55   1.3    matt 
     56   1.3    matt ENTRY(copysign, 0)
     57   1.4    matt 	movq	4(%ap),%r0		# load x into %r0
     58   1.4    matt 	bicw3	$0x807f,%r0,%r2		# mask off the exponent of x
     59   1.1   ragge 	beql	Lz			# if zero or reserved op then return x
     60   1.4    matt 	bicw3	$0x7fff,12(%ap),%r2	# copy the sign bit of y into %r2
     61   1.4    matt 	bicw2	$0x8000,%r0		# replace x by |x|
     62   1.4    matt 	bisw2	%r2,%r0			# copy the sign bit of y to x
     63   1.1   ragge Lz:	ret
     64   1.1   ragge 
     65   1.8  martin ENTRY(copysignf, 0)
     66   1.9  martin 	movl	4(%ap),%r0		# load x into %r0
     67   1.8  martin 	bicw3	$0x807f,%r0,%r2		# mask off the exponent of x
     68   1.8  martin 	beql	1f			# if zero or reserved op then return x
     69   1.8  martin 	bicw3	$0x7fff,8(%ap),%r2	# copy the sign bit of y into %r2
     70   1.8  martin 	bicw2	$0x8000,%r0		# replace x by |x|
     71   1.8  martin 	bisw2	%r2,%r0			# copy the sign bit of y to x
     72   1.8  martin 1:	ret
     73   1.8  martin 
     74   1.1   ragge /*
     75   1.7  martin  * float logbf(float x);
     76   1.7  martin  */
     77   1.7  martin ENTRY(logbf, 0)
     78   1.7  martin 	cvtfd   4(%ap),-(%sp)
     79   1.7  martin 	calls   $2,_C_LABEL(logb)
     80   1.7  martin 	cvtdf   %r0,%r0
     81   1.7  martin 	ret
     82   1.7  martin 
     83   1.7  martin /*
     84   1.3    matt  * double logb(double x);
     85   1.1   ragge  */
     86   1.3    matt ENTRY(logb, 0)
     87   1.4    matt 	bicl3	$0xffff807f,4(%ap),%r0	# mask off the exponent of x
     88   1.1   ragge 	beql    Ln
     89   1.4    matt 	ashl	$-7,%r0,%r0		# get the bias exponent
     90   1.4    matt 	subl2	$129,%r0			# get the unbias exponent
     91   1.4    matt 	cvtld	%r0,%r0			# return the answer in double
     92   1.1   ragge 	ret
     93   1.4    matt Ln:	movq	4(%ap),%r0		# %r0:1 = x (zero or reserved op)
     94   1.1   ragge 	bneq	1f			# simply return if reserved op
     95   1.4    matt 	movq 	$0x0000fe00ffffcfff,%r0  # -2147483647.0
     96   1.1   ragge 1:	ret
     97   1.1   ragge 
     98   1.1   ragge /*
     99   1.3    matt  * long finite(double x);
    100   1.1   ragge  */
    101   1.5    matt #ifndef __GFLOAT__
    102   1.5    matt 	.globl finitef
    103   1.5    matt finitef = finite
    104   1.5    matt #endif
    105   1.3    matt ENTRY(finite, 0)
    106   1.5    matt 	bicw3	$0x7f,4(%ap),%r0	# mask off the mantissa
    107   1.4    matt 	cmpw	%r0,$0x8000		# to see if x is the reserved op
    108   1.1   ragge 	beql	1f			# if so, return FALSE (0)
    109   1.4    matt 	movl	$1,%r0			# else return TRUE (1)
    110   1.1   ragge 	ret
    111   1.4    matt 1:	clrl	%r0
    112   1.1   ragge 	ret
    113   1.1   ragge 
    114   1.3    matt /* int isnan(double x);
    115   1.3    matt  */
    116   1.3    matt #if 0
    117   1.3    matt ENTRY(isnan, 0)
    118   1.4    matt 	clrl	%r0
    119   1.3    matt 	ret
    120   1.3    matt #endif
    121   1.3    matt 
    122   1.3    matt /* int isnanf(float x);
    123   1.3    matt  */
    124   1.3    matt ENTRY(isnanf, 0)
    125   1.4    matt 	clrl	%r0
    126   1.3    matt 	ret
    127   1.3    matt 
    128   1.1   ragge /*
    129   1.1   ragge  * double scalb(x,N)
    130   1.1   ragge  * double x; double N;
    131   1.1   ragge  */
    132   1.1   ragge 	.set	ERANGE,34
    133   1.3    matt 
    134   1.3    matt ENTRY(scalb, 0)
    135   1.4    matt 	movq	4(%ap),%r0
    136   1.4    matt 	bicl3	$0xffff807f,%r0,%r3
    137   1.1   ragge 	beql	ret1			# 0 or reserved operand
    138   1.4    matt 	movq	12(%ap),%r4
    139   1.4    matt 	cvtdl	%r4, %r2
    140   1.4    matt 	cmpl	%r2,$0x12c
    141   1.1   ragge 	bgeq	ovfl
    142   1.4    matt 	cmpl	%r2,$-0x12c
    143   1.1   ragge 	bleq	unfl
    144   1.4    matt 	ashl	$7,%r2,%r2
    145   1.4    matt 	addl2	%r2,%r3
    146   1.1   ragge 	bleq	unfl
    147   1.4    matt 	cmpl	%r3,$0x8000
    148   1.1   ragge 	bgeq	ovfl
    149   1.4    matt 	addl2	%r2,%r0
    150   1.1   ragge 	ret
    151   1.1   ragge ovfl:	pushl	$ERANGE
    152   1.3    matt 	calls	$1,_C_LABEL(infnan)	# if it returns
    153   1.4    matt 	bicw3	$0x7fff,4(%ap),%r2	# get the sign of input arg
    154   1.4    matt 	bisw2	%r2,%r0			# re-attach the sign to %r0/1
    155   1.1   ragge 	ret
    156   1.4    matt unfl:	movq	$0,%r0
    157   1.1   ragge ret1:	ret
    158   1.1   ragge 
    159   1.1   ragge /*
    160   1.1   ragge  * DREM(X,Y)
    161   1.1   ragge  * RETURN X REM Y =X-N*Y, N=[X/Y] ROUNDED (ROUNDED TO EVEN IN THE HALF WAY CASE)
    162   1.1   ragge  * DOUBLE PRECISION (VAX D format 56 bits)
    163   1.1   ragge  * CODED IN VAX ASSEMBLY LANGUAGE BY K.C. NG, 4/8/85.
    164   1.1   ragge  */
    165   1.1   ragge 	.set	EDOM,33
    166   1.3    matt 
    167   1.3    matt ENTRY(drem, 0x0fc0)
    168   1.4    matt 	subl2	$12,%sp
    169   1.4    matt 	movq	4(%ap),%r0		#%r0=x
    170   1.4    matt 	movq	12(%ap),%r2		#%r2=y
    171   1.1   ragge 	jeql	Rop			#if y=0 then generate reserved op fault
    172   1.4    matt 	bicw3	$0x007f,%r0,%r4		#check if x is Rop
    173   1.4    matt 	cmpw	%r4,$0x8000
    174   1.1   ragge 	jeql	Ret			#if x is Rop then return Rop
    175   1.4    matt 	bicl3	$0x007f,%r2,%r4		#check if y is Rop
    176   1.4    matt 	cmpw	%r4,$0x8000
    177   1.1   ragge 	jeql	Ret			#if y is Rop then return Rop
    178   1.4    matt 	bicw2	$0x8000,%r2		#y  := |y|
    179   1.4    matt 	movw	$0,-4(%fp)		#-4(%fp) = nx := 0
    180   1.4    matt 	cmpw	%r2,$0x1c80		#yexp ? 57
    181   1.1   ragge 	bgtr	C1			#if yexp > 57 goto C1
    182   1.4    matt 	addw2	$0x1c80,%r2		#scale up y by 2**57
    183   1.4    matt 	movw	$0x1c80,-4(%fp)		#nx := 57 (exponent field)
    184   1.1   ragge C1:
    185   1.4    matt 	movw	-4(%fp),-8(%fp)		#-8(%fp) = nf := nx
    186   1.4    matt 	bicw3	$0x7fff,%r0,-12(%fp)	#-12(%fp) = sign of x
    187   1.4    matt 	bicw2	$0x8000,%r0		#x  := |x|
    188   1.4    matt 	movq	%r2,%r10			#y1 := y
    189   1.4    matt 	bicl2	$0xffff07ff,%r11		#clear the last 27 bits of y1
    190   1.1   ragge loop:
    191   1.4    matt 	cmpd	%r0,%r2			#x ? y
    192   1.1   ragge 	bleq	E1			#if x <= y goto E1
    193   1.1   ragge  /* begin argument reduction */
    194   1.4    matt 	movq	%r2,%r4			#t =y
    195   1.4    matt 	movq	%r10,%r6			#t1=y1
    196   1.4    matt 	bicw3	$0x807f,%r0,%r8		#xexp= exponent of x
    197   1.4    matt 	bicw3	$0x807f,%r2,%r9		#yexp= exponent fo y
    198   1.4    matt 	subw2	%r9,%r8			#xexp-yexp
    199   1.4    matt 	subw2	$0x0c80,%r8		#k=xexp-yexp-25(exponent bit field)
    200   1.1   ragge 	blss	C2			#if k<0 goto C2
    201   1.4    matt 	addw2	%r8,%r4			#t +=k
    202   1.4    matt 	addw2	%r8,%r6			#t1+=k, scale up t and t1
    203   1.1   ragge C2:
    204   1.4    matt 	divd3	%r4,%r0,%r8		#x/t
    205   1.4    matt 	cvtdl	%r8,%r8			#n=[x/t] truncated
    206   1.4    matt 	cvtld	%r8,%r8			#float(n)
    207   1.4    matt 	subd2	%r6,%r4			#t:=t-t1
    208   1.4    matt 	muld2	%r8,%r4			#n*(t-t1)
    209   1.4    matt 	muld2	%r8,%r6			#n*t1
    210   1.4    matt 	subd2	%r6,%r0			#x-n*t1
    211   1.4    matt 	subd2	%r4,%r0			#(x-n*t1)-n*(t-t1)
    212   1.3    matt 	jbr	loop
    213   1.1   ragge E1:
    214   1.4    matt 	movw	-4(%fp),%r6		#%r6=nx
    215   1.1   ragge 	beql	C3			#if nx=0 goto C3
    216   1.4    matt 	addw2	%r6,%r0			#x:=x*2**57 scale up x by nx
    217   1.4    matt 	movw	$0,-4(%fp)		#clear nx
    218   1.3    matt 	jbr	loop
    219   1.1   ragge C3:
    220   1.4    matt 	movq	%r2,%r4			#%r4 = y
    221   1.4    matt 	subw2	$0x80,%r4		#%r4 = y/2
    222   1.4    matt 	cmpd	%r0,%r4			#x:y/2
    223   1.1   ragge 	blss	E2			#if x < y/2 goto E2
    224   1.1   ragge 	bgtr	C4			#if x > y/2 goto C4
    225   1.4    matt 	cvtdl	%r8,%r8			#ifix(float(n))
    226   1.4    matt 	blbc	%r8,E2			#if the last bit is zero, goto E2
    227   1.1   ragge C4:
    228   1.4    matt 	subd2	%r2,%r0			#x-y
    229   1.1   ragge E2:
    230   1.4    matt 	xorw2	-12(%fp),%r0		#x^sign (exclusive or)
    231   1.4    matt 	movw	-8(%fp),%r6		#%r6=nf
    232   1.4    matt 	bicw3	$0x807f,%r0,%r8		#%r8=exponent of x
    233   1.4    matt 	bicw2	$0x7f80,%r0		#clear the exponent of x
    234   1.4    matt 	subw2	%r6,%r8			#%r8=xexp-nf
    235   1.1   ragge 	bgtr	C5			#if xexp-nf is positive goto C5
    236   1.4    matt 	movw	$0,%r8			#clear %r8
    237   1.4    matt 	movq	$0,%r0			#x underflow to zero
    238   1.1   ragge C5:
    239   1.4    matt 	bisw2	%r8,%r0			/* put %r8 into x's exponent field */
    240   1.1   ragge 	ret
    241   1.1   ragge Rop:					#Reserved operand
    242   1.1   ragge 	pushl	$EDOM
    243   1.3    matt 	calls	$1,_C_LABEL(infnan)	#generate reserved op fault
    244   1.1   ragge 	ret
    245   1.1   ragge Ret:
    246   1.4    matt 	movq	$0x8000,%r0		#propagate reserved op
    247   1.1   ragge 	ret
    248