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C

/*
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"
// Wasm loop bounds
__attribute__((import_module("__pragma"), import_name("loopbound"))) extern void
__pragma_loopbound(unsigned int min_bound, unsigned int max_bound);
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(0, 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(25, 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;
}