modf.S revision 1.4 1 /* $NetBSD: modf.S,v 1.4 2003/08/07 16:42:27 agc Exp $ */
2
3 /*
4 * Copyright (c) 1992, 1993
5 * The Regents of the University of California. All rights reserved.
6 *
7 * This software was developed by the Computer Systems Engineering group
8 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
9 * contributed to Berkeley.
10 *
11 * Redistribution and use in source and binary forms, with or without
12 * modification, are permitted provided that the following conditions
13 * are met:
14 * 1. Redistributions of source code must retain the above copyright
15 * notice, this list of conditions and the following disclaimer.
16 * 2. Redistributions in binary form must reproduce the above copyright
17 * notice, this list of conditions and the following disclaimer in the
18 * documentation and/or other materials provided with the distribution.
19 * 3. Neither the name of the University nor the names of its contributors
20 * may be used to endorse or promote products derived from this software
21 * without specific prior written permission.
22 *
23 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
24 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
25 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
26 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
27 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
28 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
29 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
30 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
31 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
32 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
33 * SUCH DAMAGE.
34 *
35 * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp
36 */
37
38 #include <machine/asm.h>
39 #if defined(LIBC_SCCS) && !defined(lint)
40 #if 0
41 .asciz "@(#)modf.s 8.1 (Berkeley) 6/4/93"
42 #else
43 RCSID("$NetBSD: modf.S,v 1.4 2003/08/07 16:42:27 agc Exp $")
44 #endif
45 #endif /* LIBC_SCCS and not lint */
46
47 #include <machine/fsr.h>
48
49 /*
50 * double modf(double val, double *iptr)
51 *
52 * Returns the fractional part of `val', storing the integer part of
53 * `val' in *iptr. Both *iptr and the return value have the same sign
54 * as `val'.
55 *
56 * Method:
57 *
58 * We use the fpu's normalization hardware to compute the integer portion
59 * of the double precision argument. Sun IEEE double precision numbers
60 * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign,
61 * with the sign occupying bit 31 of word 0, and the exponent bits 30:20
62 * of word 0. Thus, values >= 2^52 are by definition integers.
63 *
64 * If we take a value that is in the range [+0..2^52) and add 2^52, all
65 * of the fractional bits fall out and all of the integer bits are summed
66 * with 2^52. If we then subtract 2^52, we get those integer bits back.
67 * This must be done with rounding set to `towards 0' or `towards -inf'.
68 * `Toward -inf' fails when the value is 0 (we get -0 back)....
69 *
70 * Note that this method will work anywhere, but is machine dependent in
71 * various aspects.
72 *
73 * Stack usage:
74 * 4@[%fp + BIAS - 4] saved %fsr
75 * 4@[%fp + BIAS - 8] new %fsr with rounding set to `towards 0'
76 * 8@[%fp + BIAS - 16] space for moving between %i and %f registers
77 * Register usage:
78 * %f0:f1 double val;
79 * %l0 scratch
80 * %l1 sign bit (0x80000000)
81 * %i1 double *iptr;
82 * %f2:f3 `magic number' 2^52, in fpu registers
83 * %f4:f5 double v, in fpu registers
84 * %f6:f7 double temp.
85 */
86
87 .align 8
88 Lmagic:
89 .word 0x43300000 ! sign = 0, exponent = 52 + 1023, mantissa = 0
90 .word 0 ! (i.e., .double 0r4503599627370496e+00)
91
92 L0:
93 .word 0 ! 0.0
94 .word 0
95
96 ENTRY(modf)
97 save %sp, -CC64FSZ-16, %sp
98
99 /*
100 * First, compute v = abs(val)
101 */
102 fabsd %f0, %f4 ! %f4:f5 = v
103 fcmped %fcc1, %f0, %f4 ! %fcc1 = (val == abs(val))
104 #ifdef PIC
105 PICCY_SET(Lmagic, %l0, %o7)
106 ldd [%l0], %f2
107 #else
108 sethi %hi(Lmagic), %l0
109 ldd [%l0 + %lo(Lmagic)], %f2
110 #endif
111
112 /*
113 * Is %f4:f5 >= %f2:f3 ? If so, it is all integer bits.
114 * It is probably less, though.
115 */
116 fcmped %f4, %f2
117 fbuge Lbig ! if >= (or unordered), go out
118 nop
119
120 /*
121 * v < 2^52, so add 2^52, then subtract 2^52, but do it all
122 * with rounding set towards zero. We leave any enabled
123 * traps enabled, but change the rounding mode. This might
124 * not be so good. Oh well....
125 */
126 st %fsr, [%fp + BIAS - 4] ! %l5 = current FSR mode
127 set FSR_RD, %l3 ! %l3 = rounding direction mask
128 ld [%fp + BIAS - 4], %l5
129 set FSR_RD_RZ << FSR_RD_SHIFT, %l4
130 andn %l5, %l3, %l6
131 or %l6, %l4, %l6 ! round towards zero, please
132 and %l5, %l3, %l5 ! save original rounding mode
133 st %l6, [%fp + BIAS - 8]
134 ld [%fp + BIAS - 8], %fsr
135
136 faddd %f4, %f2, %f4 ! %f4:f5 += 2^52
137 fsubd %f4, %f2, %f4 ! %f4:f5 -= 2^52
138
139 /*
140 * Restore %fsr, but leave exceptions accrued.
141 */
142 st %fsr, [%fp + BIAS - 4]
143 ld [%fp + BIAS - 4], %l6
144 andn %l6, %l3, %l6 ! %l6 = %fsr & ~FSR_RD;
145 or %l5, %l6, %l5 ! %l5 |= %l6;
146 st %l5, [%fp + BIAS - 4]
147 ld [%fp + BIAS - 4], %fsr ! restore %fsr, leaving accrued stuff
148
149 /*
150 * Now insert the original sign in %f4:f5.
151 * %fcc1 should still have the reults of (val == abs(val))
152 * from above, so we use a conditional move on %fcc1 to:
153 *
154 * %f4 = (val == abs(val)) ? %f4 : -%f4
155 *
156 */
157 fnegd %f4, %f6
158 fmovdnz %fcc1, %f6, %f4
159 1:
160
161 /*
162 * The value in %f4:f5 is now the integer portion of the original
163 * argument. We need to store this in *ival (%i1), subtract it
164 * from the original value argument (%d0), and return the result.
165 */
166 std %f4, [%i1] ! *ival = %f4:f5;
167 fsubd %f0, %f4, %f0 ! %f0:f1 -= %f4:f5;
168 ret
169 restore
170
171 Lbig:
172 /*
173 * We get here if the original comparison of %f4:f5 (v) to
174 * %f2:f3 (2^52) came out `greater or unordered'. In this
175 * case the integer part is the original value, and the
176 * fractional part is 0.
177 */
178 #ifdef PIC
179 PICCY_SET(L0, %l0, %o7)
180 std %f0, [%i1] ! *ival = val;
181 ldd [%l0], %f0 ! return 0.0;
182 #else
183 sethi %hi(L0), %l0
184 std %f0, [%i1] ! *ival = val;
185 ldd [%l0 + %lo(L0)], %f0 ! return 0.0;
186 #endif
187 ret
188 restore
189
190