root/src/pkg/math/expm1_386.s

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// 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 "../../cmd/ld/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

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