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/*
This program is part of the TACLeBench benchmark suite.
Version V 2.0
Name: audiobeamlibm.c
Author: Ian Lance Taylor and J.T. Conklin
Function: IEEE754 software library routines.
Source: Sun Microsystems and Cygnus
Original name: Unknown
Changes: No major functional changes.
License: See the terms below.
*/
/*
====================================================
Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
Developed at SunPro, a Sun Microsystems, Inc. business.
Permission to use, copy, modify, and distribute this
software is freely granted, provided that this notice
is preserved.
====================================================
*/
#include "audiobeamlibm.h"
#include "audiobeamlibmath.h"
static const int audiobeam_npio2_hw[ ] = {
0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
0x4242c700, 0x42490f00
};
static const float
audiobeam_invpio2 = 6.3661980629e-01f, /* 0x3f22f984 */
audiobeam_pio2_1 = 1.5707855225e+00f, /* 0x3fc90f80 */
audiobeam_pio2_1t = 1.0804334124e-05f, /* 0x37354443 */
audiobeam_pio2_2 = 1.0804273188e-05f, /* 0x37354400 */
audiobeam_pio2_2t = 6.0770999344e-11f, /* 0x2e85a308 */
audiobeam_pio2_3 = 6.0770943833e-11f, /* 0x2e85a300 */
audiobeam_pio2_3t = 6.1232342629e-17f; /* 0x248d3132 */
static const float
audiobeam_C1 = 4.1666667908e-02f, /* 0x3d2aaaab */
audiobeam_C2 = -1.3888889225e-03f, /* 0xbab60b61 */
audiobeam_C3 = 2.4801587642e-05f, /* 0x37d00d01 */
audiobeam_C4 = -2.7557314297e-07f, /* 0xb493f27c */
audiobeam_C5 = 2.0875723372e-09f, /* 0x310f74f6 */
audiobeam_C6 = -1.1359647598e-11f; /* 0xad47d74e */
static const float
audiobeam_S1 = -1.6666667163e-01f, /* 0xbe2aaaab */
audiobeam_S2 = 8.3333337680e-03f, /* 0x3c088889 */
audiobeam_S3 = -1.9841270114e-04f, /* 0xb9500d01 */
audiobeam_S4 = 2.7557314297e-06f, /* 0x3638ef1b */
audiobeam_S5 = -2.5050759689e-08f, /* 0xb2d72f34 */
audiobeam_S6 = 1.5896910177e-10f; /* 0x2f2ec9d3 */
static const float
audiobeam_two25 = 3.355443200e+07f, /* 0x4c000000 */
audiobeam_twom25 = 2.9802322388e-08f; /* 0x33000000 */
int audiobeam___ieee754_rem_pio2f( float x, float *y )
{
float z, w, t, r, fn;
int i, j, n = 0, ix, hx;
AUDIOBEAM_GET_FLOAT_WORD( hx, x );
ix = hx & 0x7fffffff;
if ( ix <= 0x3f490fd8 ) {
y[ 0 ] = x;
y[ 1 ] = 0;
return 0;
}
if ( ix < 0x4016cbe4 ) {
if ( hx > 0 ) {
z = x - audiobeam_pio2_1;
if ( ( ix & 0xfffffff0 ) != 0x3fc90fd0 ) {
y[ 0 ] = z - audiobeam_pio2_1t;
y[ 1 ] = ( z - y[ 0 ] ) - audiobeam_pio2_1t;
} else {
z -= audiobeam_pio2_2;
y[ 0 ] = z - audiobeam_pio2_2t;
y[ 1 ] = ( z - y[ 0 ] ) - audiobeam_pio2_2t;
}
return 1;
} else {
z = x + audiobeam_pio2_1;
if ( ( ix & 0xfffffff0 ) != 0x3fc90fd0 ) {
y[ 0 ] = z + audiobeam_pio2_1t;
y[ 1 ] = ( z - y[ 0 ] ) + audiobeam_pio2_1t;
} else {
z += audiobeam_pio2_2;
y[ 0 ] = z + audiobeam_pio2_2t;
y[ 1 ] = ( z - y[ 0 ] ) + audiobeam_pio2_2t;
}
return -1;
}
}
if ( ix <= 0x43490f80 ) {
t = audiobeam_fabsf( x );
n = ( int ) ( t * audiobeam_invpio2 + audiobeam_half );
fn = ( float )n;
r = t - fn * audiobeam_pio2_1;
w = fn * audiobeam_pio2_1t;
if ( n < 32 && ( int )( ix & 0xffffff00 ) != audiobeam_npio2_hw[ n - 1 ] )
y[ 0 ] = r - w;
else {
unsigned int high;
j = ix >> 23;
y[ 0 ] = r - w;
AUDIOBEAM_GET_FLOAT_WORD( high, y[ 0 ] );
i = j - ( ( high >> 23 ) & 0xff );
if ( i > 8 ) {
t = r;
w = fn * audiobeam_pio2_2;
r = t - w;
w = fn * audiobeam_pio2_2t - ( ( t - r ) - w );
y[ 0 ] = r - w;
AUDIOBEAM_GET_FLOAT_WORD( high, y[ 0 ] );
i = j - ( ( high >> 23 ) & 0xff );
if ( i > 25 ) {
t = r;
w = fn * audiobeam_pio2_3;
r = t - w;
w = fn * audiobeam_pio2_3t - ( ( t - r ) - w );
y[ 0 ] = r - w;
}
}
}
y[ 1 ] = ( r - y[ 0 ] ) - w;
if ( hx < 0 ) {
y[ 0 ] = -y[ 0 ];
y[ 1 ] = -y[ 1 ];
return -n;
} else return n;
}
if ( ix >= 0x7f800000 ) {
y[ 0 ] = y[ 1 ] = x - x;
return 0;
}
return n;
}
float audiobeam___kernel_cosf( float x, float y )
{
float a, hz, z, r, qx;
int ix;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
ix &= 0x7fffffff;
if ( ix < 0x32000000 ) {
if ( ( ( int )x ) == 0 ) return audiobeam_one;
}
z = x * x;
r = z * ( audiobeam_C1 + z * ( audiobeam_C2 + z * ( audiobeam_C3 + z *
( audiobeam_C4 + z *
( audiobeam_C5 + z * audiobeam_C6 ) ) ) ) );
if ( ix < 0x3e99999a )
return audiobeam_one - ( ( float )0.5f * z - ( z * r - x * y ) );
else {
if ( ix > 0x3f480000 )
qx = ( float )0.28125f;
else
AUDIOBEAM_SET_FLOAT_WORD( qx, ix - 0x01000000 );
hz = ( float )0.5f * z - qx;
a = audiobeam_one - qx;
return a - ( hz - ( z * r - x * y ) );
}
}
float audiobeam___kernel_sinf( float x, float y, int iy )
{
float z, r, v;
int ix;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
ix &= 0x7fffffff;
if ( ix < 0x32000000 ) {
if ( ( int )x == 0 ) return x;
}
z = x * x;
v = z * x;
r = audiobeam_S2 + z * ( audiobeam_S3 + z * ( audiobeam_S4 + z *
( audiobeam_S5 + z * audiobeam_S6 ) ) );
if ( iy == 0 ) return x + v * ( audiobeam_S1 + z * r );
else return x - ( ( z * ( audiobeam_half * y - v * r ) - y ) - v *
audiobeam_S1 );
}
float audiobeam___copysignf( float x, float y )
{
unsigned int ix, iy;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
AUDIOBEAM_GET_FLOAT_WORD( iy, y );
AUDIOBEAM_SET_FLOAT_WORD( x, ( ix & 0x7fffffff ) | ( iy & 0x80000000 ) );
return x;
}
float audiobeam___cosf( float x )
{
float y[ 2 ], z = 0.0f;
int n, ix;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
ix &= 0x7fffffff;
if ( ix <= 0x3f490fd8 ) return audiobeam___kernel_cosf( x, z );
else
if ( ix >= 0x7f800000 ) return x - x;
else {
y[ 0 ] = 0.0;
y[ 1 ] = 0.0;
n = audiobeam___ieee754_rem_pio2f( x, y );
switch ( n & 3 ) {
case 0:
return audiobeam___kernel_cosf( y[ 0 ], y[ 1 ] );
case 1:
return -audiobeam___kernel_sinf( y[ 0 ], y[ 1 ], 1 );
case 2:
return -audiobeam___kernel_cosf( y[ 0 ], y[ 1 ] );
default:
return audiobeam___kernel_sinf( y[ 0 ], y[ 1 ], 1 );
}
}
}
float audiobeam___fabsf( float x )
{
unsigned int ix;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
AUDIOBEAM_SET_FLOAT_WORD( x, ix & 0x7fffffff );
return x;
}
float audiobeam___floorf( float x )
{
int i0, j0;
unsigned int i;
AUDIOBEAM_GET_FLOAT_WORD( i0, x );
j0 = ( ( i0 >> 23 ) & 0xff ) - 0x7f;
if ( j0 < 23 ) {
if ( j0 < 0 ) {
if ( audiobeam_huge + x > ( float )0.0f ) {
if ( i0 >= 0 )
i0 = 0;
else
if ( ( i0 & 0x7fffffff ) != 0 )
i0 = 0xbf800000;
}
} else {
i = ( 0x007fffff ) >> j0;
if ( ( i0 & i ) == 0 ) return x;
if ( audiobeam_huge + x > ( float )0.0f ) {
if ( i0 < 0 ) i0 += ( 0x00800000 ) >> j0;
i0 &= ( ~i );
}
}
} else {
if ( j0 == 0x80 ) return x + x;
else return x;
}
AUDIOBEAM_SET_FLOAT_WORD( x, i0 );
return x;
}
int audiobeam___isinff ( float x )
{
int ix, t;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
t = ix & 0x7fffffff;
t ^= 0x7f800000;
t |= -t;
return ~( t >> 31 ) & ( ix >> 30 );
}
float audiobeam___scalbnf ( float x, int n )
{
int k, ix;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
k = ( ix & 0x7f800000 ) >> 23;
if ( k == 0 ) {
if ( ( ix & 0x7fffffff ) == 0 ) return x;
x *= audiobeam_two25;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
k = ( ( ix & 0x7f800000 ) >> 23 ) - 25;
}
if ( k == 0xff ) return x + x;
k = k + n;
if ( n > 50000 || k > 0xfe )
return audiobeam_huge * audiobeam___copysignf( audiobeam_huge,
x );
if ( n < -50000 )
return audiobeam_tiny * audiobeam___copysignf( audiobeam_tiny,
x );
if ( k > 0 ) {
AUDIOBEAM_SET_FLOAT_WORD( x, ( ix & 0x807fffff ) | ( k << 23 ) );
return x;
}
if ( k <= -25 )
return audiobeam_tiny * audiobeam___copysignf( audiobeam_tiny,
x );
k += 25;
AUDIOBEAM_SET_FLOAT_WORD( x, ( ix & 0x807fffff ) | ( k << 23 ) );
return x * audiobeam_twom25;
}
float audiobeam___ceilf( float x )
{
int i0, j0;
unsigned int i;
AUDIOBEAM_GET_FLOAT_WORD( i0, x );
j0 = ( ( i0 >> 23 ) & 0xff ) - 0x7f;
if ( j0 < 23 ) {
if ( j0 < 0 ) {
if ( audiobeam_huge + x > ( float )0.0 ) {
if ( i0 < 0 )
i0 = 0x80000000;
else
if ( i0 != 0 )
i0 = 0x3f800000;
}
} else {
i = ( 0x007fffff ) >> j0;
if ( ( i0 & i ) == 0 ) return x;
if ( audiobeam_huge + x > ( float )0.0 ) {
if ( i0 > 0 ) i0 += ( 0x00800000 ) >> j0;
i0 &= ( ~i );
}
}
} else {
if ( j0 == 0x80 ) return x + x;
else return x;
}
AUDIOBEAM_SET_FLOAT_WORD( x, i0 );
return x;
}
float audiobeam___ieee754_sqrtf( float x )
{
float z;
int sign = ( int )0x80000000;
int ix, s, q, m, t, i;
unsigned int r;
AUDIOBEAM_GET_FLOAT_WORD( ix, x );
if ( ( ix & 0x7f800000 ) == 0x7f800000 )
return x * x + x;
if ( ix <= 0 ) {
if ( ( ix & ( ~sign ) ) == 0 ) return x;
else
if ( ix < 0 )
return ( x - x ) / ( x - x );
}
m = ( ix >> 23 );
if ( m == 0 ) {
_Pragma( "loopbound min 0 max 0" )
for ( i = 0; ( ix & 0x00800000 ) == 0; i++ )
ix <<= 1;
m -= i - 1;
}
m -= 127;
ix = ( ix & 0x007fffff ) | 0x00800000;
if ( m & 1 )
ix += ix;
m >>= 1;
ix += ix;
q = s = 0;
r = 0x01000000;
_Pragma( "loopbound min 25 max 25" )
while ( r != 0 ) {
t = s + r;
if ( t <= ix ) {
s = t + r;
ix -= t;
q += r;
}
ix += ix;
r >>= 1;
}
if ( ix != 0 ) {
z = audiobeam_one - audiobeam_tiny;
if ( z >= audiobeam_one ) {
z = audiobeam_one + audiobeam_tiny;
if ( z > audiobeam_one )
q += 2;
else
q += ( q & 1 );
}
}
ix = ( q >> 1 ) + 0x3f000000;
ix += ( m << 23 );
AUDIOBEAM_SET_FLOAT_WORD( z, ix );
return z;
}