expm1_386.s

// Copyright 2010 The Go Authors.  All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

#include "textflag.h"

// func Expm1(x float64) float64
TEXT ·Expm1(SB),NOSPLIT,$0
	FLDLN2               // F0=log(2) = 1/log2(e) ~ 0.693147
	FMOVD   x+0(FP), F0  // F0=x, F1=1/log2(e)
	FABS                 // F0=|x|, F1=1/log2(e) 
	FUCOMPP F0, F1       // compare F0 to F1
	FSTSW   AX
	SAHF
	JCC     use_exp      // jump if F0 >= F1
	FLDL2E                // F0=log2(e)
	FMULD   x+0(FP), F0   // F0=x*log2(e) (-1<F0<1)
	F2XM1                 // F0=e**x-1 = 2**(x*log2(e))-1
	FMOVDP  F0, ret+8(FP)
	RET
use_exp:
// test bits for not-finite
	MOVL    x_hi+4(FP), AX
	ANDL    $0x7ff00000, AX
	CMPL    AX, $0x7ff00000
	JEQ     not_finite
	FLDL2E                // F0=log2(e)
	FMULD   x+0(FP), F0   // F0=x*log2(e)
	FMOVD   F0, F1        // F0=x*log2(e), F1=x*log2(e)
	FRNDINT               // F0=int(x*log2(e)), F1=x*log2(e)
	FSUBD   F0, F1        // F0=int(x*log2(e)), F1=x*log2(e)-int(x*log2(e))
	FXCHD   F0, F1        // F0=x*log2(e)-int(x*log2(e)), F1=int(x*log2(e))
	F2XM1                 // F0=2**(x*log2(e)-int(x*log2(e)))-1, F1=int(x*log2(e))
	FLD1                  // F0=1, F1=2**(x*log2(e)-int(x*log2(e)))-1, F2=int(x*log2(e))
	FADDDP  F0, F1        // F0=2**(x*log2(e)-int(x*log2(e))), F1=int(x*log2(e))
	FSCALE                // F0=e**x, F1=int(x*log2(e))
	FMOVDP  F0, F1        // F0=e**x
	FLD1                  // F0=1, F1=e**x
	FSUBDP  F0, F1        // F0=e**x-1 
	FMOVDP  F0, ret+8(FP)
	RET
not_finite:
// test bits for -Inf
	MOVL    x_hi+4(FP), BX
	MOVL    x_lo+0(FP), CX
	CMPL    BX, $0xfff00000
	JNE     not_neginf
	CMPL    CX, $0
	JNE     not_neginf
	FLD1                 // F0=1
	FCHS                 // F0=-1
	FMOVDP  F0, ret+8(FP)
	RET
not_neginf:
	MOVL    CX, ret_lo+8(FP)
	MOVL    BX, ret_hi+12(FP)
	RET