1 1.5 joerg /* $NetBSD: modf.S,v 1.5 2013/09/12 15:36:16 joerg 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 1.4 agc * 3. Neither the name of the University nor the names of its contributors 20 1.1 eeh * may be used to endorse or promote products derived from this software 21 1.1 eeh * without specific prior written permission. 22 1.1 eeh * 23 1.1 eeh * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 24 1.1 eeh * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 25 1.1 eeh * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 26 1.1 eeh * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 27 1.1 eeh * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 28 1.1 eeh * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 29 1.1 eeh * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 30 1.1 eeh * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 31 1.1 eeh * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 32 1.1 eeh * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 33 1.1 eeh * SUCH DAMAGE. 34 1.1 eeh * 35 1.1 eeh * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp 36 1.1 eeh */ 37 1.1 eeh 38 1.1 eeh #include <machine/asm.h> 39 1.1 eeh #if defined(LIBC_SCCS) && !defined(lint) 40 1.1 eeh #if 0 41 1.1 eeh .asciz "@(#)modf.s 8.1 (Berkeley) 6/4/93" 42 1.1 eeh #else 43 1.5 joerg RCSID("$NetBSD: modf.S,v 1.5 2013/09/12 15:36:16 joerg Exp $") 44 1.1 eeh #endif 45 1.1 eeh #endif /* LIBC_SCCS and not lint */ 46 1.1 eeh 47 1.1 eeh #include <machine/fsr.h> 48 1.1 eeh 49 1.1 eeh /* 50 1.1 eeh * double modf(double val, double *iptr) 51 1.1 eeh * 52 1.1 eeh * Returns the fractional part of `val', storing the integer part of 53 1.1 eeh * `val' in *iptr. Both *iptr and the return value have the same sign 54 1.1 eeh * as `val'. 55 1.1 eeh * 56 1.1 eeh * Method: 57 1.1 eeh * 58 1.1 eeh * We use the fpu's normalization hardware to compute the integer portion 59 1.1 eeh * of the double precision argument. Sun IEEE double precision numbers 60 1.1 eeh * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign, 61 1.1 eeh * with the sign occupying bit 31 of word 0, and the exponent bits 30:20 62 1.1 eeh * of word 0. Thus, values >= 2^52 are by definition integers. 63 1.1 eeh * 64 1.1 eeh * If we take a value that is in the range [+0..2^52) and add 2^52, all 65 1.1 eeh * of the fractional bits fall out and all of the integer bits are summed 66 1.1 eeh * with 2^52. If we then subtract 2^52, we get those integer bits back. 67 1.1 eeh * This must be done with rounding set to `towards 0' or `towards -inf'. 68 1.1 eeh * `Toward -inf' fails when the value is 0 (we get -0 back).... 69 1.1 eeh * 70 1.1 eeh * Note that this method will work anywhere, but is machine dependent in 71 1.1 eeh * various aspects. 72 1.1 eeh * 73 1.1 eeh * Stack usage: 74 1.2 eeh * 4@[%fp + BIAS - 4] saved %fsr 75 1.2 eeh * 4@[%fp + BIAS - 8] new %fsr with rounding set to `towards 0' 76 1.2 eeh * 8@[%fp + BIAS - 16] space for moving between %i and %f registers 77 1.1 eeh * Register usage: 78 1.3 eeh * %f0:f1 double val; 79 1.1 eeh * %l0 scratch 80 1.1 eeh * %l1 sign bit (0x80000000) 81 1.3 eeh * %i1 double *iptr; 82 1.1 eeh * %f2:f3 `magic number' 2^52, in fpu registers 83 1.1 eeh * %f4:f5 double v, in fpu registers 84 1.3 eeh * %f6:f7 double temp. 85 1.1 eeh */ 86 1.1 eeh 87 1.1 eeh .align 8 88 1.1 eeh Lmagic: 89 1.1 eeh .word 0x43300000 ! sign = 0, exponent = 52 + 1023, mantissa = 0 90 1.1 eeh .word 0 ! (i.e., .double 0r4503599627370496e+00) 91 1.1 eeh 92 1.1 eeh L0: 93 1.1 eeh .word 0 ! 0.0 94 1.1 eeh .word 0 95 1.1 eeh 96 1.1 eeh ENTRY(modf) 97 1.2 eeh save %sp, -CC64FSZ-16, %sp 98 1.1 eeh 99 1.1 eeh /* 100 1.3 eeh * First, compute v = abs(val) 101 1.3 eeh */ 102 1.3 eeh fabsd %f0, %f4 ! %f4:f5 = v 103 1.3 eeh fcmped %fcc1, %f0, %f4 ! %fcc1 = (val == abs(val)) 104 1.5 joerg #ifdef __PIC__ 105 1.1 eeh PICCY_SET(Lmagic, %l0, %o7) 106 1.1 eeh ldd [%l0], %f2 107 1.1 eeh #else 108 1.1 eeh sethi %hi(Lmagic), %l0 109 1.1 eeh ldd [%l0 + %lo(Lmagic)], %f2 110 1.1 eeh #endif 111 1.1 eeh 112 1.1 eeh /* 113 1.1 eeh * Is %f4:f5 >= %f2:f3 ? If so, it is all integer bits. 114 1.1 eeh * It is probably less, though. 115 1.1 eeh */ 116 1.1 eeh fcmped %f4, %f2 117 1.1 eeh fbuge Lbig ! if >= (or unordered), go out 118 1.1 eeh nop 119 1.1 eeh 120 1.1 eeh /* 121 1.1 eeh * v < 2^52, so add 2^52, then subtract 2^52, but do it all 122 1.1 eeh * with rounding set towards zero. We leave any enabled 123 1.1 eeh * traps enabled, but change the rounding mode. This might 124 1.1 eeh * not be so good. Oh well.... 125 1.1 eeh */ 126 1.3 eeh st %fsr, [%fp + BIAS - 4] ! %l5 = current FSR mode 127 1.1 eeh set FSR_RD, %l3 ! %l3 = rounding direction mask 128 1.2 eeh ld [%fp + BIAS - 4], %l5 129 1.1 eeh set FSR_RD_RZ << FSR_RD_SHIFT, %l4 130 1.1 eeh andn %l5, %l3, %l6 131 1.1 eeh or %l6, %l4, %l6 ! round towards zero, please 132 1.1 eeh and %l5, %l3, %l5 ! save original rounding mode 133 1.2 eeh st %l6, [%fp + BIAS - 8] 134 1.2 eeh ld [%fp + BIAS - 8], %fsr 135 1.1 eeh 136 1.1 eeh faddd %f4, %f2, %f4 ! %f4:f5 += 2^52 137 1.1 eeh fsubd %f4, %f2, %f4 ! %f4:f5 -= 2^52 138 1.1 eeh 139 1.1 eeh /* 140 1.1 eeh * Restore %fsr, but leave exceptions accrued. 141 1.1 eeh */ 142 1.2 eeh st %fsr, [%fp + BIAS - 4] 143 1.2 eeh ld [%fp + BIAS - 4], %l6 144 1.1 eeh andn %l6, %l3, %l6 ! %l6 = %fsr & ~FSR_RD; 145 1.1 eeh or %l5, %l6, %l5 ! %l5 |= %l6; 146 1.2 eeh st %l5, [%fp + BIAS - 4] 147 1.3 eeh ld [%fp + BIAS - 4], %fsr ! restore %fsr, leaving accrued stuff 148 1.1 eeh 149 1.1 eeh /* 150 1.1 eeh * Now insert the original sign in %f4:f5. 151 1.3 eeh * %fcc1 should still have the reults of (val == abs(val)) 152 1.3 eeh * from above, so we use a conditional move on %fcc1 to: 153 1.3 eeh * 154 1.3 eeh * %f4 = (val == abs(val)) ? %f4 : -%f4 155 1.3 eeh * 156 1.1 eeh */ 157 1.3 eeh fnegd %f4, %f6 158 1.3 eeh fmovdnz %fcc1, %f6, %f4 159 1.1 eeh 1: 160 1.1 eeh 161 1.1 eeh /* 162 1.1 eeh * The value in %f4:f5 is now the integer portion of the original 163 1.3 eeh * argument. We need to store this in *ival (%i1), subtract it 164 1.3 eeh * from the original value argument (%d0), and return the result. 165 1.1 eeh */ 166 1.3 eeh std %f4, [%i1] ! *ival = %f4:f5; 167 1.1 eeh fsubd %f0, %f4, %f0 ! %f0:f1 -= %f4:f5; 168 1.1 eeh ret 169 1.1 eeh restore 170 1.1 eeh 171 1.1 eeh Lbig: 172 1.1 eeh /* 173 1.1 eeh * We get here if the original comparison of %f4:f5 (v) to 174 1.1 eeh * %f2:f3 (2^52) came out `greater or unordered'. In this 175 1.1 eeh * case the integer part is the original value, and the 176 1.1 eeh * fractional part is 0. 177 1.1 eeh */ 178 1.5 joerg #ifdef __PIC__ 179 1.1 eeh PICCY_SET(L0, %l0, %o7) 180 1.3 eeh std %f0, [%i1] ! *ival = val; 181 1.1 eeh ldd [%l0], %f0 ! return 0.0; 182 1.1 eeh #else 183 1.1 eeh sethi %hi(L0), %l0 184 1.3 eeh std %f0, [%i1] ! *ival = val; 185 1.1 eeh ldd [%l0 + %lo(L0)], %f0 ! return 0.0; 186 1.1 eeh #endif 187 1.1 eeh ret 188 1.1 eeh restore 189 1.3 eeh 190