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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.
*/
*** 60,73 ****
#include <float.h> /* LDBL_MAX */
#define GENERIC long double
static const GENERIC
! invsqrtpi = 5.641895835477562869480794515607725858441e-0001L,
! two = 2.0L,
! zero = 0.0L,
! one = 1.0L;
GENERIC
jnl(int n, GENERIC x)
{
int i, sgn;
--- 61,74 ----
#include <float.h> /* LDBL_MAX */
#define GENERIC long double
static const GENERIC
! invsqrtpi = 5.641895835477562869480794515607725858441e-0001L,
! two = 2.0L,
! zero = 0.0L,
! one = 1.0L;
GENERIC
jnl(int n, GENERIC x)
{
int i, sgn;
*** 79,101 ****
*/
if (n < 0) {
n = -n;
x = -x;
}
if (n == 0)
return (j0l(x));
if (n == 1)
return (j1l(x));
if (x != x)
! return (x+x);
! if ((n&1) == 0)
sgn = 0; /* even n */
else
sgn = signbitl(x); /* old n */
x = fabsl(x);
! if (x == zero || !finitel(x)) b = zero;
! else if ((GENERIC)n <= x) {
/*
* Safe to use
* J(n+1,x)=2n/x *J(n,x)-J(n-1,x)
*/
if (x > 1.0e91L) {
--- 80,109 ----
*/
if (n < 0) {
n = -n;
x = -x;
}
+
if (n == 0)
return (j0l(x));
+
if (n == 1)
return (j1l(x));
+
if (x != x)
! return (x + x);
!
! if ((n & 1) == 0)
sgn = 0; /* even n */
else
sgn = signbitl(x); /* old n */
+
x = fabsl(x);
!
! if (x == zero || !finitel(x)) {
! b = zero;
! } else if ((GENERIC)n <= x) {
/*
* Safe to use
* J(n+1,x)=2n/x *J(n,x)-J(n-1,x)
*/
if (x > 1.0e91L) {
*** 111,152 ****
* 0 s-c c+s
* 1 -s-c -c+s
* 2 -s+c -c-s
* 3 s+c c-s
*/
! switch (n&3) {
case 0:
! temp = cosl(x)+sinl(x);
break;
case 1:
! temp = -cosl(x)+sinl(x);
break;
case 2:
! temp = -cosl(x)-sinl(x);
break;
case 3:
! temp = cosl(x)-sinl(x);
break;
}
! b = invsqrtpi*temp/sqrtl(x);
} else {
a = j0l(x);
b = j1l(x);
for (i = 1; i < n; i++) {
temp = b;
/* avoid underflow */
! b = b*((GENERIC)(i+i)/x) - a;
a = temp;
}
}
} else {
if (x < 1e-17L) { /* use J(n,x) = 1/n!*(x/2)^n */
! b = powl(0.5L*x, (GENERIC)n);
if (b != zero) {
for (a = one, i = 1; i <= n; i++)
a *= (GENERIC)i;
! b = b/a;
}
} else {
/* use backward recurrence */
/* BEGIN CSTYLED */
/*
--- 119,164 ----
* 0 s-c c+s
* 1 -s-c -c+s
* 2 -s+c -c-s
* 3 s+c c-s
*/
! switch (n & 3) {
case 0:
! temp = cosl(x) + sinl(x);
break;
case 1:
! temp = -cosl(x) + sinl(x);
break;
case 2:
! temp = -cosl(x) - sinl(x);
break;
case 3:
! temp = cosl(x) - sinl(x);
break;
}
!
! b = invsqrtpi * temp / sqrtl(x);
} else {
a = j0l(x);
b = j1l(x);
+
for (i = 1; i < n; i++) {
temp = b;
/* avoid underflow */
! b = b * ((GENERIC)(i + i) / x) - a;
a = temp;
}
}
} else {
if (x < 1e-17L) { /* use J(n,x) = 1/n!*(x/2)^n */
! b = powl(0.5L * x, (GENERIC)n);
!
if (b != zero) {
for (a = one, i = 1; i <= n; i++)
a *= (GENERIC)i;
!
! b = b / a;
}
} else {
/* use backward recurrence */
/* BEGIN CSTYLED */
/*
*** 180,207 ****
/* END CSTYLED */
/* determine k */
GENERIC t, v;
double q0, q1, h, tmp;
int k, m;
! w = (n+n)/(double)x;
! h = 2.0/(double)x;
q0 = w;
! z = w+h;
! q1 = w*z - 1.0;
k = 1;
while (q1 < 1.0e17) {
k += 1;
z += h;
! tmp = z*q1 - q0;
q0 = q1;
q1 = tmp;
}
! m = n+n;
! for (t = zero, i = 2*(n+k); i >= m; i -= 2)
! t = one/(i/x-t);
a = t;
b = one;
/*
* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
* hence, if n*(log(2n/x)) > ...
* single:
* 8.8722839355e+01
--- 192,225 ----
/* END CSTYLED */
/* determine k */
GENERIC t, v;
double q0, q1, h, tmp;
int k, m;
!
! w = (n + n) / (double)x;
! h = 2.0 / (double)x;
q0 = w;
! z = w + h;
! q1 = w * z - 1.0;
k = 1;
+
while (q1 < 1.0e17) {
k += 1;
z += h;
! tmp = z * q1 - q0;
q0 = q1;
q1 = tmp;
}
!
! m = n + n;
!
! for (t = zero, i = 2 * (n + k); i >= m; i -= 2)
! t = one / (i / x - t);
!
a = t;
b = one;
+
/*
* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
* hence, if n*(log(2n/x)) > ...
* single:
* 8.8722839355e+01
*** 211,243 ****
* 1.1356523406294143949491931077970765006170e+04
* then recurrent value may overflow and the result is
* likely underflow to zero
*/
tmp = n;
! v = two/x;
! tmp = tmp*logl(fabsl(v*tmp));
if (tmp < 1.1356523406294143949491931077970765e+04L) {
! for (i = n-1; i > 0; i--) {
temp = b;
! b = ((i+i)/x)*b - a;
a = temp;
}
} else {
! for (i = n-1; i > 0; i--) {
temp = b;
! b = ((i+i)/x)*b - a;
a = temp;
if (b > 1e1000L) {
a /= b;
t /= b;
b = 1.0;
}
}
}
! b = (t*j0l(x)/b);
}
}
if (sgn != 0)
return (-b);
else
return (b);
}
--- 229,265 ----
* 1.1356523406294143949491931077970765006170e+04
* then recurrent value may overflow and the result is
* likely underflow to zero
*/
tmp = n;
! v = two / x;
! tmp = tmp * logl(fabsl(v * tmp));
!
if (tmp < 1.1356523406294143949491931077970765e+04L) {
! for (i = n - 1; i > 0; i--) {
temp = b;
! b = ((i + i) / x) * b - a;
a = temp;
}
} else {
! for (i = n - 1; i > 0; i--) {
temp = b;
! b = ((i + i) / x) * b - a;
a = temp;
+
if (b > 1e1000L) {
a /= b;
t /= b;
b = 1.0;
}
}
}
!
! b = (t * j0l(x) / b);
}
}
+
if (sgn != 0)
return (-b);
else
return (b);
}
*** 248,273 ****
int i;
int sign;
GENERIC a, b, temp;
if (x != x)
! return (x+x);
if (x <= zero) {
if (x == zero)
! return (-one/zero);
else
! return (zero/zero);
}
sign = 1;
if (n < 0) {
n = -n;
! if ((n&1) == 1) sign = -1;
}
if (n == 0)
return (y0l(x));
if (n == 1)
! return (sign*y1l(x));
if (!finitel(x))
return (zero);
if (x > 1.0e91L) {
/*
--- 270,303 ----
int i;
int sign;
GENERIC a, b, temp;
if (x != x)
! return (x + x);
!
if (x <= zero) {
if (x == zero)
! return (-one / zero);
else
! return (zero / zero);
}
+
sign = 1;
+
if (n < 0) {
n = -n;
!
! if ((n & 1) == 1)
! sign = -1;
}
+
if (n == 0)
return (y0l(x));
+
if (n == 1)
! return (sign * y1l(x));
!
if (!finitel(x))
return (zero);
if (x > 1.0e91L) {
/*
*** 282,321 ****
* 0 s-c c+s
* 1 -s-c -c+s
* 2 -s+c -c-s
* 3 s+c c-s
*/
! switch (n&3) {
case 0:
! temp = sinl(x)-cosl(x);
break;
case 1:
! temp = -sinl(x)-cosl(x);
break;
case 2:
! temp = -sinl(x)+cosl(x);
break;
case 3:
! temp = sinl(x)+cosl(x);
break;
}
! b = invsqrtpi*temp/sqrtl(x);
} else {
a = y0l(x);
b = y1l(x);
/*
* fix 1262058 and take care of non-default rounding
*/
for (i = 1; i < n; i++) {
temp = b;
! b *= (GENERIC) (i + i) / x;
if (b <= -LDBL_MAX)
break;
b -= a;
a = temp;
}
}
if (sign > 0)
return (b);
else
return (-b);
}
--- 312,356 ----
* 0 s-c c+s
* 1 -s-c -c+s
* 2 -s+c -c-s
* 3 s+c c-s
*/
! switch (n & 3) {
case 0:
! temp = sinl(x) - cosl(x);
break;
case 1:
! temp = -sinl(x) - cosl(x);
break;
case 2:
! temp = -sinl(x) + cosl(x);
break;
case 3:
! temp = sinl(x) + cosl(x);
break;
}
!
! b = invsqrtpi * temp / sqrtl(x);
} else {
a = y0l(x);
b = y1l(x);
+
/*
* fix 1262058 and take care of non-default rounding
*/
for (i = 1; i < n; i++) {
temp = b;
! b *= (GENERIC)(i + i) / x;
!
if (b <= -LDBL_MAX)
break;
+
b -= a;
a = temp;
}
}
+
if (sign > 0)
return (b);
else
return (-b);
}