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11210 libm should be cstyle(1ONBLD) clean
*** 20,29 ****
--- 20,30 ----
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
+
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
*** 31,74 ****
#include "libm.h" /* asinl/atanl/fabsl/isinfl/log1pl/logl/sqrtl */
#include "complex_wrapper.h"
#include "longdouble.h"
! /* INDENT OFF */
! static const long double
! zero = 0.0L,
! one = 1.0L,
! Acrossover = 1.5L,
! Bcrossover = 0.6417L,
! half = 0.5L,
! ln2 = 6.931471805599453094172321214581765680755e-0001L,
! Foursqrtu = 7.3344154702193886624856495681939326638255e-2466L, /* 2**-8189 */
#if defined(__x86)
! E = 5.4210108624275221700372640043497085571289e-20L, /* 2**-64 */
! pi_4 = 0.7853981633974483095739921312272713294078130L,
! pi_4_l = 4.1668714592604391641479322342670193036704898e-20L,
! pi_2 = 1.5707963267948966191479842624545426588156260L,
! pi_2_l = 8.3337429185208783282958644685340386073409796e-20L;
!
#else
! E = 9.6296497219361792652798897129246365926905e-35L, /* 2**-113 */
! pi_4 = 0.7853981633974483096156608458198756993697670L,
! pi_4_l = 2.1679525325309452561992610065108379921905808e-35L,
! pi_2 = 1.5707963267948966192313216916397513987395340L,
! pi_2_l = 4.3359050650618905123985220130216759843811616e-35L;
!
#endif
! /* INDENT ON */
#if defined(__x86)
static const int ip1 = 0x40400000; /* 2**65 */
#else
static const int ip1 = 0x40710000; /* 2**114 */
#endif
ldcomplex
! casinl(ldcomplex z) {
long double x, y, t, R, S, A, Am1, B, y2, xm1, xp1, Apx;
int ix, iy, hx, hy;
ldcomplex ans;
x = LD_RE(z);
--- 32,73 ----
#include "libm.h" /* asinl/atanl/fabsl/isinfl/log1pl/logl/sqrtl */
#include "complex_wrapper.h"
#include "longdouble.h"
! /* BEGIN CSTYLED */
! static const long double zero = 0.0L,
! one = 1.0L,
! Acrossover = 1.5L,
! Bcrossover = 0.6417L,
! half = 0.5L,
! ln2 = 6.931471805599453094172321214581765680755e-0001L,
! Foursqrtu = 7.3344154702193886624856495681939326638255e-2466L, /* 2**-8189 */
#if defined(__x86)
! E = 5.4210108624275221700372640043497085571289e-20L, /* 2**-64 */
! pi_4 = 0.7853981633974483095739921312272713294078130L,
! pi_4_l = 4.1668714592604391641479322342670193036704898e-20L,
! pi_2 = 1.5707963267948966191479842624545426588156260L,
! pi_2_l = 8.3337429185208783282958644685340386073409796e-20L;
#else
! E = 9.6296497219361792652798897129246365926905e-35L, /* 2**-113 */
! pi_4 = 0.7853981633974483096156608458198756993697670L,
! pi_4_l = 2.1679525325309452561992610065108379921905808e-35L,
! pi_2 = 1.5707963267948966192313216916397513987395340L,
! pi_2_l = 4.3359050650618905123985220130216759843811616e-35L;
#endif
! /* END CSTYLED */
#if defined(__x86)
static const int ip1 = 0x40400000; /* 2**65 */
#else
static const int ip1 = 0x40710000; /* 2**114 */
#endif
ldcomplex
! casinl(ldcomplex z)
! {
long double x, y, t, R, S, A, Am1, B, y2, xm1, xp1, Apx;
int ix, iy, hx, hy;
ldcomplex ans;
x = LD_RE(z);
*** 84,122 ****
/* x is inf or NaN */
if (ix >= 0x7fff0000) { /* x is inf or NaN */
if (isinfl(x)) { /* x is INF */
LD_IM(ans) = x;
if (iy >= 0x7fff0000) {
if (isinfl(y))
/* casin(inf + i inf) = pi/4 + i inf */
LD_RE(ans) = pi_4 + pi_4_l;
else /* casin(inf + i NaN) = NaN + i inf */
LD_RE(ans) = y + y;
! } else /* casin(inf + iy) = pi/2 + i inf */
LD_RE(ans) = pi_2 + pi_2_l;
} else { /* x is NaN */
if (iy >= 0x7fff0000) {
! /* INDENT OFF */
/*
* casin(NaN + i inf) = NaN + i inf
* casin(NaN + i NaN) = NaN + i NaN
*/
- /* INDENT ON */
LD_IM(ans) = y + y;
LD_RE(ans) = x + x;
} else {
! /* INDENT OFF */
! /* casin(NaN + i y ) = NaN + i NaN */
! /* INDENT ON */
LD_IM(ans) = LD_RE(ans) = x + y;
}
}
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
return (ans);
}
/* casin(+0 + i 0) = 0 + i 0. */
if (x == zero && y == zero)
--- 83,125 ----
/* x is inf or NaN */
if (ix >= 0x7fff0000) { /* x is inf or NaN */
if (isinfl(x)) { /* x is INF */
LD_IM(ans) = x;
+
if (iy >= 0x7fff0000) {
if (isinfl(y))
/* casin(inf + i inf) = pi/4 + i inf */
LD_RE(ans) = pi_4 + pi_4_l;
else /* casin(inf + i NaN) = NaN + i inf */
LD_RE(ans) = y + y;
! } else { /* casin(inf + iy) = pi/2 + i inf */
LD_RE(ans) = pi_2 + pi_2_l;
+ }
} else { /* x is NaN */
if (iy >= 0x7fff0000) {
!
/*
* casin(NaN + i inf) = NaN + i inf
* casin(NaN + i NaN) = NaN + i NaN
*/
LD_IM(ans) = y + y;
LD_RE(ans) = x + x;
} else {
! /*
! * casin(NaN + i y ) = NaN + i NaN
! */
LD_IM(ans) = LD_RE(ans) = x + y;
}
}
+
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
+
return (ans);
}
/* casin(+0 + i 0) = 0 + i 0. */
if (x == zero && y == zero)
*** 126,159 ****
if (isinfl(y)) { /* casin(x + i inf) = 0 + i inf */
LD_IM(ans) = y;
LD_RE(ans) = zero;
} else { /* casin(x + i NaN) = NaN + i NaN */
LD_IM(ans) = x + y;
if (x == zero)
LD_RE(ans) = x;
else
LD_RE(ans) = y;
}
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
return (ans);
}
if (y == zero) { /* region 1: y=0 */
if (ix < 0x3fff0000) { /* |x| < 1 */
LD_RE(ans) = asinl(x);
LD_IM(ans) = zero;
} else {
LD_RE(ans) = pi_2 + pi_2_l;
! if (ix >= ip1) /* |x| >= i386 ? 2**65 : 2**114 */
LD_IM(ans) = ln2 + logl(x);
! else if (ix >= 0x3fff8000) /* x > Acrossover */
LD_IM(ans) = logl(x + sqrtl((x - one) * (x +
one)));
! else {
xm1 = x - one;
LD_IM(ans) = log1pl(xm1 + sqrtl(xm1 * (x +
one)));
}
}
--- 129,167 ----
if (isinfl(y)) { /* casin(x + i inf) = 0 + i inf */
LD_IM(ans) = y;
LD_RE(ans) = zero;
} else { /* casin(x + i NaN) = NaN + i NaN */
LD_IM(ans) = x + y;
+
if (x == zero)
LD_RE(ans) = x;
else
LD_RE(ans) = y;
}
+
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
+
return (ans);
}
if (y == zero) { /* region 1: y=0 */
if (ix < 0x3fff0000) { /* |x| < 1 */
LD_RE(ans) = asinl(x);
LD_IM(ans) = zero;
} else {
LD_RE(ans) = pi_2 + pi_2_l;
!
! if (ix >= ip1) { /* |x| >= i386 ? 2**65 : 2**114 */
LD_IM(ans) = ln2 + logl(x);
! } else if (ix >= 0x3fff8000) { /* x > Acrossover */
LD_IM(ans) = logl(x + sqrtl((x - one) * (x +
one)));
! } else {
xm1 = x - one;
LD_IM(ans) = log1pl(xm1 + sqrtl(xm1 * (x +
one)));
}
}
*** 161,170 ****
--- 169,179 ----
if (ix < 0x3fff0000) { /* x < 1 */
LD_RE(ans) = asinl(x);
LD_IM(ans) = y / sqrtl((one + x) * (one - x));
} else {
LD_RE(ans) = pi_2 + pi_2_l;
+
if (ix >= ip1) /* i386 ? 2**65 : 2**114 */
LD_IM(ans) = ln2 + logl(x);
else if (ix >= 0x3fff8000) /* x > Acrossover */
LD_IM(ans) = logl(x + sqrtl((x - one) * (x +
one)));
*** 186,195 ****
--- 195,205 ----
LD_IM(ans) = ln2 + logl(y) + half * log1pl(t * t);
} else if (x < Foursqrtu) {
/* region 6: x is very small, < 4sqrt(min) */
A = sqrtl(one + y * y);
LD_RE(ans) = x / A; /* may underflow */
+
if (iy >= 0x3fff8000) /* if y > Acrossover */
LD_IM(ans) = logl(y + A);
else
LD_IM(ans) = half * log1pl((y + y) * (y + A));
} else { /* safe region */
*** 198,232 ****
xm1 = x - one;
R = sqrtl(xp1 * xp1 + y2);
S = sqrtl(xm1 * xm1 + y2);
A = half * (R + S);
B = x / A;
! if (B <= Bcrossover)
LD_RE(ans) = asinl(B);
! else { /* use atan and an accurate approx to a-x */
Apx = A + x;
if (x <= one)
LD_RE(ans) = atanl(x / sqrtl(half * Apx * (y2 /
(R + xp1) + (S - xm1))));
else
LD_RE(ans) = atanl(x / (y * sqrtl(half * (Apx /
(R + xp1) + Apx / (S + xm1)))));
}
if (A <= Acrossover) {
/* use log1p and an accurate approx to A-1 */
if (x < one)
Am1 = half * (y2 / (R + xp1) + y2 / (S - xm1));
else
Am1 = half * (y2 / (R + xp1) + (S + xm1));
LD_IM(ans) = log1pl(Am1 + sqrtl(Am1 * (A + one)));
} else {
LD_IM(ans) = logl(A + sqrtl(A * A - one));
}
}
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
return (ans);
}
--- 208,247 ----
xm1 = x - one;
R = sqrtl(xp1 * xp1 + y2);
S = sqrtl(xm1 * xm1 + y2);
A = half * (R + S);
B = x / A;
!
! if (B <= Bcrossover) {
LD_RE(ans) = asinl(B);
! } else { /* use atan and an accurate approx to a-x */
Apx = A + x;
+
if (x <= one)
LD_RE(ans) = atanl(x / sqrtl(half * Apx * (y2 /
(R + xp1) + (S - xm1))));
else
LD_RE(ans) = atanl(x / (y * sqrtl(half * (Apx /
(R + xp1) + Apx / (S + xm1)))));
}
+
if (A <= Acrossover) {
/* use log1p and an accurate approx to A-1 */
if (x < one)
Am1 = half * (y2 / (R + xp1) + y2 / (S - xm1));
else
Am1 = half * (y2 / (R + xp1) + (S + xm1));
+
LD_IM(ans) = log1pl(Am1 + sqrtl(Am1 * (A + one)));
} else {
LD_IM(ans) = logl(A + sqrtl(A * A - one));
}
}
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
return (ans);
}