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+/*
+ * Copyright (c) 1992, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * This software was developed by the Computer Systems Engineering group
+ * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
+ * contributed to Berkeley.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * from: Header: modf.s,v 1.3 92/06/20 00:00:54 torek Exp
+ */
+
+#if defined(LIBC_SCCS) && !defined(lint)
+#if 0
+ .asciz "@(#)modf.s 8.1 (Berkeley) 6/4/93"
+#else
+ .asciz "$NetBSD: modf.S,v 1.2 2000/07/23 07:12:22 eeh Exp $"
+#endif
+#endif /* LIBC_SCCS and not lint */
+
+#if defined(SYSLIBC_RCS) && !defined(lint)
+ .text
+ .asciz "$FreeBSD$"
+#endif /* SYSLIBC_RCS and not lint */
+
+#include <machine/asm.h>
+
+#include "assym.s"
+
+/*
+ * double modf(double val, double *iptr)
+ *
+ * Returns the fractional part of `val', storing the integer part of
+ * `val' in *iptr. Both *iptr and the return value have the same sign
+ * as `val'.
+ *
+ * Method:
+ *
+ * We use the fpu's normalization hardware to compute the integer portion
+ * of the double precision argument. Sun IEEE double precision numbers
+ * have 52 bits of mantissa, 11 bits of exponent, and one bit of sign,
+ * with the sign occupying bit 31 of word 0, and the exponent bits 30:20
+ * of word 0. Thus, values >= 2^52 are by definition integers.
+ *
+ * If we take a value that is in the range [+0..2^52) and add 2^52, all
+ * of the fractional bits fall out and all of the integer bits are summed
+ * with 2^52. If we then subtract 2^52, we get those integer bits back.
+ * This must be done with rounding set to `towards 0' or `towards -inf'.
+ * `Toward -inf' fails when the value is 0 (we get -0 back)....
+ *
+ * Note that this method will work anywhere, but is machine dependent in
+ * various aspects.
+ *
+ * Stack usage:
+ * 4@[%fp + SPOFF - 4] saved %fsr
+ * 4@[%fp + SPOFF - 8] new %fsr with rounding set to `towards 0'
+ * 8@[%fp + SPOFF - 16] space for moving between %i and %f registers
+ * Register usage:
+ * %f0:f1 double val;
+ * %l0 scratch
+ * %l1 sign bit (0x80000000)
+ * %i1 double *iptr;
+ * %f2:f3 `magic number' 2^52, in fpu registers
+ * %f4:f5 double v, in fpu registers
+ * %f6:f7 double temp.
+ */
+
+ .align 8
+.Lmagic:
+ .word 0x43300000 ! sign = 0, exponent = 52 + 1023, mantissa = 0
+ .word 0 ! (i.e., .double 0r4503599627370496e+00)
+
+.L0:
+ .word 0 ! 0.0
+ .word 0
+
+ENTRY(modf)
+ save %sp, -CCFSZ - 16, %sp
+ PIC_PROLOGUE(%l6, %l7)
+
+ /*
+ * First, compute v = abs(val)
+ */
+ fabsd %f0, %f4 ! %f4:f5 = v
+ fcmped %fcc1, %f0, %f4 ! %fcc1 = (val == abs(val))
+ SET(.Lmagic, %l7, %l0)
+ ldd [%l0], %f2
+
+ /*
+ * Is %f4:f5 >= %f2:f3 ? If so, it is all integer bits.
+ * It is probably less, though.
+ */
+ fcmped %f4, %f2
+ fbuge .Lbig ! if >= (or unordered), go out
+ nop
+
+ /*
+ * v < 2^52, so add 2^52, then subtract 2^52, but do it all
+ * with rounding set towards zero. We leave any enabled
+ * traps enabled, but change the rounding mode. This might
+ * not be so good. Oh well....
+ */
+ st %fsr, [%fp + SPOFF - 4] ! %l5 = current FSR mode
+ set FSR_RD_MASK, %l3 ! %l3 = rounding direction mask
+ ld [%fp + SPOFF - 4], %l5
+ set FSR_RD_RD_Z, %l4
+ andn %l5, %l3, %l6
+ or %l6, %l4, %l6 ! round towards zero, please
+ and %l5, %l3, %l5 ! save original rounding mode
+ st %l6, [%fp + SPOFF - 8]
+ ld [%fp + SPOFF - 8], %fsr
+
+ faddd %f4, %f2, %f4 ! %f4:f5 += 2^52
+ fsubd %f4, %f2, %f4 ! %f4:f5 -= 2^52
+
+ /*
+ * Restore %fsr, but leave exceptions accrued.
+ */
+ st %fsr, [%fp + SPOFF - 4]
+ ld [%fp + SPOFF - 4], %l6
+ andn %l6, %l3, %l6 ! %l6 = %fsr & ~FSR_RD_MASK;
+ or %l5, %l6, %l5 ! %l5 |= %l6;
+ st %l5, [%fp + SPOFF - 4]
+ ld [%fp + SPOFF - 4], %fsr ! restore %fsr, leaving accrued stuff
+
+ /*
+ * Now insert the original sign in %f4:f5.
+ * %fcc1 should still have the results of (val == abs(val))
+ * from above, so we use a conditional move on %fcc1 to:
+ *
+ * %f4 = (val == abs(val)) ? %f4 : -%f4
+ *
+ */
+ fnegd %f4, %f6
+ fmovdnz %fcc1, %f6, %f4
+1:
+
+ /*
+ * The value in %f4:f5 is now the integer portion of the original
+ * argument. We need to store this in *ival (%i1), subtract it
+ * from the original value argument (%d0), and return the result.
+ */
+ std %f4, [%i1] ! *ival = %f4:f5;
+ fsubd %f0, %f4, %f0 ! %f0:f1 -= %f4:f5;
+ ret
+ restore
+
+.Lbig:
+ /*
+ * We get here if the original comparison of %f4:f5 (v) to
+ * %f2:f3 (2^52) came out `greater or unordered'. In this
+ * case the integer part is the original value, and the
+ * fractional part is 0.
+ */
+ SET(.L0, %l7, %l0)
+ std %f0, [%i1] ! *ival = val;
+ ldd [%l0], %f0 ! return 0.0;
+ ret
+ restore
+END(modf)
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