modf.S revision 1.4 1 /*
2 * Copyright (c) 1992, 1993
3 * The Regents of the University of California. All rights reserved.
4 *
5 * This software was developed by the Computer Systems Engineering group
6 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
7 * contributed to Berkeley.
8 *
9 * Redistribution and use in source and binary forms, with or without
10 * modification, are permitted provided that the following conditions
11 * are met:
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
14 * 2. Redistributions in binary form must reproduce the above copyright
15 * notice, this list of conditions and the following disclaimer in the
16 * documentation and/or other materials provided with the distribution.
17 * 3. All advertising materials mentioning features or use of this software
18 * must display the following acknowledgement:
19 * This product includes software developed by the University of
20 * California, Berkeley and its contributors.
21 * 4. Neither the name of the University nor the names of its contributors
22 * may be used to endorse or promote products derived from this software
23 * without specific prior written permission.
24 *
25 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
26 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
27 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
28 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
29 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
30 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
31 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
32 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
33 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
34 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
35 * SUCH DAMAGE.
36 *
37 * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp
38 * $Id: modf.S,v 1.4 1996/11/16 20:53:20 pk Exp $
39 */
40
41 #if defined(LIBC_SCCS) && !defined(lint)
42 .asciz "@(#)modf.s 8.1 (Berkeley) 6/4/93"
43 #endif /* LIBC_SCCS and not lint */
44
45 #include <machine/asm.h>
46 #include <machine/fsr.h>
47
48 /*
49 * double modf(double val, double *iptr)
50 *
51 * Returns the fractional part of `val', storing the integer part of
52 * `val' in *iptr. Both *iptr and the return value have the same sign
53 * as `val'.
54 *
55 * Method:
56 *
57 * We use the fpu's normalization hardware to compute the integer portion
58 * of the double precision argument. Sun IEEE double precision numbers
59 * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign,
60 * with the sign occupying bit 31 of word 0, and the exponent bits 30:20
61 * of word 0. Thus, values >= 2^52 are by definition integers.
62 *
63 * If we take a value that is in the range [+0..2^52) and add 2^52, all
64 * of the fractional bits fall out and all of the integer bits are summed
65 * with 2^52. If we then subtract 2^52, we get those integer bits back.
66 * This must be done with rounding set to `towards 0' or `towards -inf'.
67 * `Toward -inf' fails when the value is 0 (we get -0 back)....
68 *
69 * Note that this method will work anywhere, but is machine dependent in
70 * various aspects.
71 *
72 * Stack usage:
73 * 4@[%fp - 4] saved %fsr
74 * 4@[%fp - 8] new %fsr with rounding set to `towards 0'
75 * 8@[%fp - 16] space for moving between %i and %f registers
76 * Register usage:
77 * %i0%i1 double val;
78 * %l0 scratch
79 * %l1 sign bit (0x80000000)
80 * %i2 double *iptr;
81 * %f2:f3 `magic number' 2^52, in fpu registers
82 * %f4:f5 double v, in fpu registers
83 */
84
85 .align 8
86 Lmagic:
87 .word 0x43300000 ! sign = 0, exponent = 52 + 1023, mantissa = 0
88 .word 0 ! (i.e., .double 0r4503599627370496e+00)
89
90 L0:
91 .word 0 ! 0.0
92 .word 0
93
94 ENTRY(modf)
95 save %sp, -64-16, %sp
96
97 /*
98 * First, compute v = abs(val) by clearing sign bit,
99 * and then set up the fpu registers. This would be
100 * much easier if we could do alu operations on fpu registers!
101 */
102 sethi %hi(0x80000000), %l1 ! sign bit
103 andn %i0, %l1, %l0
104 st %l0, [%fp - 16]
105 #ifdef PIC
106 PICCY_SET(Lmagic, %l0, %o7)
107 ldd [%l0], %f2
108 #else
109 sethi %hi(Lmagic), %l0
110 ldd [%l0 + %lo(Lmagic)], %f2
111 #endif
112 st %i1, [%fp - 12]
113 ldd [%fp - 16], %f4 ! %f4:f5 = v
114
115 /*
116 * Is %f4:f5 >= %f2:f3 ? If so, it is all integer bits.
117 * It is probably less, though.
118 */
119 fcmped %f4, %f2
120 nop ! fpop2 delay
121 fbuge Lbig ! if >= (or unordered), go out
122 nop
123
124 /*
125 * v < 2^52, so add 2^52, then subtract 2^52, but do it all
126 * with rounding set towards zero. We leave any enabled
127 * traps enabled, but change the rounding mode. This might
128 * not be so good. Oh well....
129 */
130 st %fsr, [%fp - 4] ! %l5 = current FSR mode
131 set FSR_RD, %l3 ! %l3 = rounding direction mask
132 ld [%fp - 4], %l5
133 set FSR_RD_RZ << FSR_RD_SHIFT, %l4
134 andn %l5, %l3, %l6
135 or %l6, %l4, %l6 ! round towards zero, please
136 and %l5, %l3, %l5 ! save original rounding mode
137 st %l6, [%fp - 8]
138 ld [%fp - 8], %fsr
139
140 faddd %f4, %f2, %f4 ! %f4:f5 += 2^52
141 fsubd %f4, %f2, %f4 ! %f4:f5 -= 2^52
142
143 /*
144 * Restore %fsr, but leave exceptions accrued.
145 */
146 st %fsr, [%fp - 4]
147 ld [%fp - 4], %l6
148 andn %l6, %l3, %l6 ! %l6 = %fsr & ~FSR_RD;
149 or %l5, %l6, %l5 ! %l5 |= %l6;
150 st %l5, [%fp - 4]
151 ld [%fp - 4], %fsr ! restore %fsr, leaving accrued stuff
152
153 /*
154 * Now insert the original sign in %f4:f5.
155 * This is a lot of work, so it is conditional here.
156 */
157 btst %l1, %i0
158 be 1f
159 nop
160 st %f4, [%fp - 16]
161 ld [%fp - 16], %g1
162 or %l1, %g1, %g1
163 st %g1, [%fp - 16]
164 ld [%fp - 16], %f4
165 1:
166
167 /*
168 * The value in %f4:f5 is now the integer portion of the original
169 * argument. We need to store this in *ival (%i2), subtract it
170 * from the original value argument (%i0:i1), and return the result.
171 */
172 std %f4, [%i2] ! *ival = %f4:f5;
173 std %i0, [%fp - 16]
174 ldd [%fp - 16], %f0 ! %f0:f1 = val;
175 fsubd %f0, %f4, %f0 ! %f0:f1 -= %f4:f5;
176 ret
177 restore
178
179 Lbig:
180 /*
181 * We get here if the original comparison of %f4:f5 (v) to
182 * %f2:f3 (2^52) came out `greater or unordered'. In this
183 * case the integer part is the original value, and the
184 * fractional part is 0.
185 */
186 #ifdef PIC
187 PICCY_SET(L0, %l0, %o7)
188 std %f0, [%i2] ! *ival = val;
189 ldd [%l0], %f0 ! return 0.0;
190 #else
191 sethi %hi(L0), %l0
192 std %f0, [%i2] ! *ival = val;
193 ldd [%l0 + %lo(L0)], %f0 ! return 0.0;
194 #endif
195 ret
196 restore
197