n_support.S revision 1.1 1 1.1 ragge /* $NetBSD: n_support.S,v 1.1 1995/10/10 23:40:30 ragge 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 1.1 ragge * 3. All advertising materials mentioning features or use of this software
15 1.1 ragge * must display the following acknowledgement:
16 1.1 ragge * This product includes software developed by the University of
17 1.1 ragge * California, Berkeley and its contributors.
18 1.1 ragge * 4. Neither the name of the University nor the names of its contributors
19 1.1 ragge * may be used to endorse or promote products derived from this software
20 1.1 ragge * without specific prior written permission.
21 1.1 ragge *
22 1.1 ragge * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
23 1.1 ragge * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
24 1.1 ragge * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
25 1.1 ragge * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
26 1.1 ragge * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
27 1.1 ragge * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
28 1.1 ragge * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
29 1.1 ragge * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
30 1.1 ragge * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
31 1.1 ragge * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
32 1.1 ragge * SUCH DAMAGE.
33 1.1 ragge *
34 1.1 ragge * @(#)support.s 8.1 (Berkeley) 6/4/93
35 1.1 ragge */
36 1.1 ragge .data
37 1.1 ragge .align 2
38 1.1 ragge _sccsid:
39 1.1 ragge .asciz "@(#)support.s 1.3 (Berkeley) 8/21/85; 8.1 (ucb.elefunt) 6/4/93"
40 1.1 ragge
41 1.1 ragge /*
42 1.1 ragge * copysign(x,y),
43 1.1 ragge * logb(x),
44 1.1 ragge * scalb(x,N),
45 1.1 ragge * finite(x),
46 1.1 ragge * drem(x,y),
47 1.1 ragge * Coded in vax assembly language by K.C. Ng, 3/14/85.
48 1.1 ragge * Revised by K.C. Ng on 4/9/85.
49 1.1 ragge */
50 1.1 ragge
51 1.1 ragge /*
52 1.1 ragge * double copysign(x,y)
53 1.1 ragge * double x,y;
54 1.1 ragge */
55 1.1 ragge .globl _copysign
56 1.1 ragge .text
57 1.1 ragge .align 1
58 1.1 ragge _copysign:
59 1.1 ragge .word 0x4
60 1.1 ragge movq 4(ap),r0 # load x into r0
61 1.1 ragge bicw3 $0x807f,r0,r2 # mask off the exponent of x
62 1.1 ragge beql Lz # if zero or reserved op then return x
63 1.1 ragge bicw3 $0x7fff,12(ap),r2 # copy the sign bit of y into r2
64 1.1 ragge bicw2 $0x8000,r0 # replace x by |x|
65 1.1 ragge bisw2 r2,r0 # copy the sign bit of y to x
66 1.1 ragge Lz: ret
67 1.1 ragge
68 1.1 ragge /*
69 1.1 ragge * double logb(x)
70 1.1 ragge * double x;
71 1.1 ragge */
72 1.1 ragge .globl _logb
73 1.1 ragge .text
74 1.1 ragge .align 1
75 1.1 ragge _logb:
76 1.1 ragge .word 0x0
77 1.1 ragge bicl3 $0xffff807f,4(ap),r0 # mask off the exponent of x
78 1.1 ragge beql Ln
79 1.1 ragge ashl $-7,r0,r0 # get the bias exponent
80 1.1 ragge subl2 $129,r0 # get the unbias exponent
81 1.1 ragge cvtld r0,r0 # return the answer in double
82 1.1 ragge ret
83 1.1 ragge Ln: movq 4(ap),r0 # r0:1 = x (zero or reserved op)
84 1.1 ragge bneq 1f # simply return if reserved op
85 1.1 ragge movq $0x0000fe00ffffcfff,r0 # -2147483647.0
86 1.1 ragge 1: ret
87 1.1 ragge
88 1.1 ragge /*
89 1.1 ragge * long finite(x)
90 1.1 ragge * double x;
91 1.1 ragge */
92 1.1 ragge .globl _finite
93 1.1 ragge .text
94 1.1 ragge .align 1
95 1.1 ragge _finite:
96 1.1 ragge .word 0x0000
97 1.1 ragge bicw3 $0x7f,4(ap),r0 # mask off the mantissa
98 1.1 ragge cmpw r0,$0x8000 # to see if x is the reserved op
99 1.1 ragge beql 1f # if so, return FALSE (0)
100 1.1 ragge movl $1,r0 # else return TRUE (1)
101 1.1 ragge ret
102 1.1 ragge 1: clrl r0
103 1.1 ragge ret
104 1.1 ragge
105 1.1 ragge /*
106 1.1 ragge * double scalb(x,N)
107 1.1 ragge * double x; double N;
108 1.1 ragge */
109 1.1 ragge .globl _scalb
110 1.1 ragge .set ERANGE,34
111 1.1 ragge .text
112 1.1 ragge .align 1
113 1.1 ragge _scalb:
114 1.1 ragge .word 0x3c
115 1.1 ragge movq 4(ap),r0
116 1.1 ragge bicl3 $0xffff807f,r0,r3
117 1.1 ragge beql ret1 # 0 or reserved operand
118 1.1 ragge movq 12(ap),r4
119 1.1 ragge cvtdl r4, r2
120 1.1 ragge cmpl r2,$0x12c
121 1.1 ragge bgeq ovfl
122 1.1 ragge cmpl r2,$-0x12c
123 1.1 ragge bleq unfl
124 1.1 ragge ashl $7,r2,r2
125 1.1 ragge addl2 r2,r3
126 1.1 ragge bleq unfl
127 1.1 ragge cmpl r3,$0x8000
128 1.1 ragge bgeq ovfl
129 1.1 ragge addl2 r2,r0
130 1.1 ragge ret
131 1.1 ragge ovfl: pushl $ERANGE
132 1.1 ragge calls $1,_infnan # if it returns
133 1.1 ragge bicw3 $0x7fff,4(ap),r2 # get the sign of input arg
134 1.1 ragge bisw2 r2,r0 # re-attach the sign to r0/1
135 1.1 ragge ret
136 1.1 ragge unfl: movq $0,r0
137 1.1 ragge ret1: ret
138 1.1 ragge
139 1.1 ragge /*
140 1.1 ragge * DREM(X,Y)
141 1.1 ragge * RETURN X REM Y =X-N*Y, N=[X/Y] ROUNDED (ROUNDED TO EVEN IN THE HALF WAY CASE)
142 1.1 ragge * DOUBLE PRECISION (VAX D format 56 bits)
143 1.1 ragge * CODED IN VAX ASSEMBLY LANGUAGE BY K.C. NG, 4/8/85.
144 1.1 ragge */
145 1.1 ragge .globl _drem
146 1.1 ragge .set EDOM,33
147 1.1 ragge .text
148 1.1 ragge .align 1
149 1.1 ragge _drem:
150 1.1 ragge .word 0xffc
151 1.1 ragge subl2 $12,sp
152 1.1 ragge movq 4(ap),r0 #r0=x
153 1.1 ragge movq 12(ap),r2 #r2=y
154 1.1 ragge jeql Rop #if y=0 then generate reserved op fault
155 1.1 ragge bicw3 $0x007f,r0,r4 #check if x is Rop
156 1.1 ragge cmpw r4,$0x8000
157 1.1 ragge jeql Ret #if x is Rop then return Rop
158 1.1 ragge bicl3 $0x007f,r2,r4 #check if y is Rop
159 1.1 ragge cmpw r4,$0x8000
160 1.1 ragge jeql Ret #if y is Rop then return Rop
161 1.1 ragge bicw2 $0x8000,r2 #y := |y|
162 1.1 ragge movw $0,-4(fp) #-4(fp) = nx := 0
163 1.1 ragge cmpw r2,$0x1c80 #yexp ? 57
164 1.1 ragge bgtr C1 #if yexp > 57 goto C1
165 1.1 ragge addw2 $0x1c80,r2 #scale up y by 2**57
166 1.1 ragge movw $0x1c80,-4(fp) #nx := 57 (exponent field)
167 1.1 ragge C1:
168 1.1 ragge movw -4(fp),-8(fp) #-8(fp) = nf := nx
169 1.1 ragge bicw3 $0x7fff,r0,-12(fp) #-12(fp) = sign of x
170 1.1 ragge bicw2 $0x8000,r0 #x := |x|
171 1.1 ragge movq r2,r10 #y1 := y
172 1.1 ragge bicl2 $0xffff07ff,r11 #clear the last 27 bits of y1
173 1.1 ragge loop:
174 1.1 ragge cmpd r0,r2 #x ? y
175 1.1 ragge bleq E1 #if x <= y goto E1
176 1.1 ragge /* begin argument reduction */
177 1.1 ragge movq r2,r4 #t =y
178 1.1 ragge movq r10,r6 #t1=y1
179 1.1 ragge bicw3 $0x807f,r0,r8 #xexp= exponent of x
180 1.1 ragge bicw3 $0x807f,r2,r9 #yexp= exponent fo y
181 1.1 ragge subw2 r9,r8 #xexp-yexp
182 1.1 ragge subw2 $0x0c80,r8 #k=xexp-yexp-25(exponent bit field)
183 1.1 ragge blss C2 #if k<0 goto C2
184 1.1 ragge addw2 r8,r4 #t +=k
185 1.1 ragge addw2 r8,r6 #t1+=k, scale up t and t1
186 1.1 ragge C2:
187 1.1 ragge divd3 r4,r0,r8 #x/t
188 1.1 ragge cvtdl r8,r8 #n=[x/t] truncated
189 1.1 ragge cvtld r8,r8 #float(n)
190 1.1 ragge subd2 r6,r4 #t:=t-t1
191 1.1 ragge muld2 r8,r4 #n*(t-t1)
192 1.1 ragge muld2 r8,r6 #n*t1
193 1.1 ragge subd2 r6,r0 #x-n*t1
194 1.1 ragge subd2 r4,r0 #(x-n*t1)-n*(t-t1)
195 1.1 ragge brb loop
196 1.1 ragge E1:
197 1.1 ragge movw -4(fp),r6 #r6=nx
198 1.1 ragge beql C3 #if nx=0 goto C3
199 1.1 ragge addw2 r6,r0 #x:=x*2**57 scale up x by nx
200 1.1 ragge movw $0,-4(fp) #clear nx
201 1.1 ragge brb loop
202 1.1 ragge C3:
203 1.1 ragge movq r2,r4 #r4 = y
204 1.1 ragge subw2 $0x80,r4 #r4 = y/2
205 1.1 ragge cmpd r0,r4 #x:y/2
206 1.1 ragge blss E2 #if x < y/2 goto E2
207 1.1 ragge bgtr C4 #if x > y/2 goto C4
208 1.1 ragge cvtdl r8,r8 #ifix(float(n))
209 1.1 ragge blbc r8,E2 #if the last bit is zero, goto E2
210 1.1 ragge C4:
211 1.1 ragge subd2 r2,r0 #x-y
212 1.1 ragge E2:
213 1.1 ragge xorw2 -12(fp),r0 #x^sign (exclusive or)
214 1.1 ragge movw -8(fp),r6 #r6=nf
215 1.1 ragge bicw3 $0x807f,r0,r8 #r8=exponent of x
216 1.1 ragge bicw2 $0x7f80,r0 #clear the exponent of x
217 1.1 ragge subw2 r6,r8 #r8=xexp-nf
218 1.1 ragge bgtr C5 #if xexp-nf is positive goto C5
219 1.1 ragge movw $0,r8 #clear r8
220 1.1 ragge movq $0,r0 #x underflow to zero
221 1.1 ragge C5:
222 1.1 ragge bisw2 r8,r0 /* put r8 into x's exponent field */
223 1.1 ragge ret
224 1.1 ragge Rop: #Reserved operand
225 1.1 ragge pushl $EDOM
226 1.1 ragge calls $1,_infnan #generate reserved op fault
227 1.1 ragge ret
228 1.1 ragge Ret:
229 1.1 ragge movq $0x8000,r0 #propagate reserved op
230 1.1 ragge ret
231