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+/* ix87 specific implementation of exp(x)-1.
+ Copyright (C) 1996-2017 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996.
+ Based on code by John C. Bowman <bowman@ipp-garching.mpg.de>.
+ Corrections by H.J. Lu (hjl@gnu.ai.mit.edu), 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+ /* Using: e^x - 1 = 2^(x * log2(e)) - 1 */
+
+#include <sysdep.h>
+#include <machine/asm.h>
+#include <i386-math-asm.h>
+
+ .section .rodata
+
+ .align ALIGNARG(4)
+ .type minus1,@object
+minus1: .double -1.0
+ ASM_SIZE_DIRECTIVE(minus1)
+ .type one,@object
+one: .double 1.0
+ ASM_SIZE_DIRECTIVE(one)
+ .type l2e,@object
+l2e: .tfloat 1.442695040888963407359924681002
+ ASM_SIZE_DIRECTIVE(l2e)
+
+DEFINE_DBL_MIN
+
+#ifdef PIC
+#define MO(op) op##@GOTOFF(%edx)
+#else
+#define MO(op) op
+#endif
+
+ .text
+ENTRY(__expm1)
+ movzwl 4+6(%esp), %eax
+ xorb $0x80, %ah // invert sign bit (now 1 is "positive")
+ cmpl $0xc086, %eax // is num >= 704?
+ jae HIDDEN_JUMPTARGET (__exp)
+
+ fldl 4(%esp) // x
+ fxam // Is NaN, +-Inf or +-0?
+ xorb $0x80, %ah
+ cmpl $0xc043, %eax // is num <= -38.0?
+ fstsw %ax
+ movb $0x45, %ch
+ jb 4f
+
+ // Below -38.0 (may be -NaN or -Inf).
+ andb %ah, %ch
+#ifdef PIC
+ LOAD_PIC_REG (dx)
+#endif
+ cmpb $0x01, %ch
+ je 5f // If -NaN, jump.
+ jmp 2f // -large, possibly -Inf.
+
+4: // In range -38.0 to 704.0 (may be +-0 but not NaN or +-Inf).
+ andb %ah, %ch
+ cmpb $0x40, %ch
+ je 3f // If +-0, jump.
+#ifdef PIC
+ LOAD_PIC_REG (dx)
+#endif
+
+5: fldt MO(l2e) // log2(e) : x
+ fmulp // log2(e)*x
+ fld %st // log2(e)*x : log2(e)*x
+ // Set round-to-nearest temporarily.
+ subl $8, %esp
+ cfi_adjust_cfa_offset (8)
+ fstcw 4(%esp)
+ movl $0xf3ff, %ecx
+ andl 4(%esp), %ecx
+ movl %ecx, (%esp)
+ fldcw (%esp)
+ frndint // int(log2(e)*x) : log2(e)*x
+ fldcw 4(%esp)
+ addl $8, %esp
+ cfi_adjust_cfa_offset (-8)
+ fsubr %st, %st(1) // int(log2(e)*x) : fract(log2(e)*x)
+ fxch // fract(log2(e)*x) : int(log2(e)*x)
+ f2xm1 // 2^fract(log2(e)*x)-1 : int(log2(e)*x)
+ fscale // 2^(log2(e)*x)-2^int(log2(e)*x) : int(log2(e)*x)
+ fxch // int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
+ fldl MO(one) // 1 : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
+ fscale // 2^int(log2(e)*x) : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
+ fsubrl MO(one) // 1-2^int(log2(e)*x) : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
+ fstp %st(1) // 1-2^int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
+ fsubrp %st, %st(1) // 2^(log2(e)*x)
+ DBL_CHECK_FORCE_UFLOW
+ ret
+
+2: fstp %st
+ fldl MO(minus1) // Set result to -1.0.
+3: ret
+END(__expm1)
+weak_alias (__expm1, expm1)