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+/* $NetBSD: ldexp.S,v 1.8 2003/08/07 16:42:15 agc Exp $ */
+
+/*-
+ * Copyright (c) 1991, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * This code is derived from software contributed to Berkeley by
+ * Ralph Campbell.
+ *
+ * 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. 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.
+ */
+
+#include <machine/asm.h>
+__FBSDID("$FreeBSD$");
+
+#if defined(LIBC_SCCS) && !defined(lint)
+ ASMSTR("from: @(#)ldexp.s 8.1 (Berkeley) 6/4/93")
+ ASMSTR("$NetBSD: ldexp.S,v 1.8 2003/08/07 16:42:15 agc Exp $")
+#endif /* LIBC_SCCS and not lint */
+
+#ifdef __ABICALLS__
+ .abicalls
+#endif
+
+#define DEXP_INF 0x7ff
+#define DEXP_BIAS 1023
+#define DEXP_MIN -1022
+#define DEXP_MAX 1023
+#define DFRAC_BITS 52
+#define DIMPL_ONE 0x00100000
+#define DLEAD_ZEROS 31 - 20
+#define STICKYBIT 1
+#define GUARDBIT 0x80000000
+#define DSIGNAL_NAN 0x00040000
+#define DQUIET_NAN0 0x0007ffff
+#define DQUIET_NAN1 0xffffffff
+
+/*
+ * double ldexp(x, N)
+ * double x; int N;
+ *
+ * Return x * (2**N), for integer values N.
+ */
+LEAF(ldexp)
+ mfc1 v1, $f13 # get MSW of x
+ mfc1 t3, $f12 # get LSW of x
+ sll t1, v1, 1 # get x exponent
+ srl t1, t1, 32 - 11
+ beq t1, DEXP_INF, 9f # is it a NAN or infinity?
+ beq t1, zero, 1f # zero or denormalized number?
+ addu t1, t1, a2 # scale exponent
+ sll v0, a2, 20 # position N for addition
+ bge t1, DEXP_INF, 8f # overflow?
+ addu v0, v0, v1 # multiply by (2**N)
+ ble t1, zero, 4f # underflow?
+ mtc1 v0, $f1 # save MSW of result
+ mtc1 t3, $f0 # save LSW of result
+ j ra
+1:
+ sll t2, v1, 32 - 20 # get x fraction
+ srl t2, t2, 32 - 20
+ srl t0, v1, 31 # get x sign
+ bne t2, zero, 1f
+ beq t3, zero, 9f # result is zero
+1:
+/*
+ * Find out how many leading zero bits are in t2,t3 and put in t9.
+ */
+ move v0, t2
+ move t9, zero
+ bne t2, zero, 1f
+ move v0, t3
+ addu t9, 32
+1:
+ srl ta0, v0, 16
+ bne ta0, zero, 1f
+ addu t9, 16
+ sll v0, 16
+1:
+ srl ta0, v0, 24
+ bne ta0, zero, 1f
+ addu t9, 8
+ sll v0, 8
+1:
+ srl ta0, v0, 28
+ bne ta0, zero, 1f
+ addu t9, 4
+ sll v0, 4
+1:
+ srl ta0, v0, 30
+ bne ta0, zero, 1f
+ addu t9, 2
+ sll v0, 2
+1:
+ srl ta0, v0, 31
+ bne ta0, zero, 1f
+ addu t9, 1
+/*
+ * Now shift t2,t3 the correct number of bits.
+ */
+1:
+ subu t9, t9, DLEAD_ZEROS # dont count normal leading zeros
+ li t1, DEXP_MIN + DEXP_BIAS
+ subu t1, t1, t9 # adjust exponent
+ addu t1, t1, a2 # scale exponent
+ li v0, 32
+ blt t9, v0, 1f
+ subu t9, t9, v0 # shift fraction left >= 32 bits
+ sll t2, t3, t9
+ move t3, zero
+ b 2f
+1:
+ subu v0, v0, t9 # shift fraction left < 32 bits
+ sll t2, t2, t9
+ srl ta0, t3, v0
+ or t2, t2, ta0
+ sll t3, t3, t9
+2:
+ bge t1, DEXP_INF, 8f # overflow?
+ ble t1, zero, 4f # underflow?
+ sll t2, t2, 32 - 20 # clear implied one bit
+ srl t2, t2, 32 - 20
+3:
+ sll t1, t1, 31 - 11 # reposition exponent
+ sll t0, t0, 31 # reposition sign
+ or t0, t0, t1 # put result back together
+ or t0, t0, t2
+ mtc1 t0, $f1 # save MSW of result
+ mtc1 t3, $f0 # save LSW of result
+ j ra
+4:
+ li v0, 0x80000000
+ ble t1, -52, 7f # is result too small for denorm?
+ sll t2, v1, 31 - 20 # clear exponent, extract fraction
+ or t2, t2, v0 # set implied one bit
+ blt t1, -30, 2f # will all bits in t3 be shifted out?
+ srl t2, t2, 31 - 20 # shift fraction back to normal position
+ subu t1, t1, 1
+ sll ta0, t2, t1 # shift right t2,t3 based on exponent
+ srl t8, t3, t1 # save bits shifted out
+ negu t1
+ srl t3, t3, t1
+ or t3, t3, ta0
+ srl t2, t2, t1
+ bge t8, zero, 1f # does result need to be rounded?
+ addu t3, t3, 1 # round result
+ sltu ta0, t3, 1
+ sll t8, t8, 1
+ addu t2, t2, ta0
+ bne t8, zero, 1f # round result to nearest
+ and t3, t3, ~1
+1:
+ mtc1 t3, $f0 # save denormalized result (LSW)
+ mtc1 t2, $f1 # save denormalized result (MSW)
+ bge v1, zero, 1f # should result be negative?
+ neg.d $f0, $f0 # negate result
+1:
+ j ra
+2:
+ mtc1 zero, $f1 # exponent and upper fraction
+ addu t1, t1, 20 # compute amount to shift right by
+ sll t8, t2, t1 # save bits shifted out
+ negu t1
+ srl t3, t2, t1
+ bge t8, zero, 1f # does result need to be rounded?
+ addu t3, t3, 1 # round result
+ sltu ta0, t3, 1
+ sll t8, t8, 1
+ mtc1 ta0, $f1 # exponent and upper fraction
+ bne t8, zero, 1f # round result to nearest
+ and t3, t3, ~1
+1:
+ mtc1 t3, $f0
+ bge v1, zero, 1f # is result negative?
+ neg.d $f0, $f0 # negate result
+1:
+ j ra
+7:
+ mtc1 zero, $f0 # result is zero
+ mtc1 zero, $f1
+ beq t0, zero, 1f # is result positive?
+ neg.d $f0, $f0 # negate result
+1:
+ j ra
+8:
+ li t1, 0x7ff00000 # result is infinity (MSW)
+ mtc1 t1, $f1
+ mtc1 zero, $f0 # result is infinity (LSW)
+ bge v1, zero, 1f # should result be negative infinity?
+ neg.d $f0, $f0 # result is negative infinity
+1:
+ add.d $f0, $f0 # cause overflow faults if enabled
+ j ra
+9:
+ mov.d $f0, $f12 # yes, result is just x
+ j ra
+END(ldexp)
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