Print this page
11210 libm should be cstyle(1ONBLD) clean
@@ -20,10 +20,11 @@
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
+
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
@@ -43,31 +44,35 @@
#include "libm_protos.h"
#include <math.h>
#include <values.h>
#define GENERIC double
-static const GENERIC
-zero = 0.0,
-small = 1.0e-5,
-tiny = 1.0e-20,
-one = 1.0,
-invsqrtpi = 5.641895835477562869480794515607725858441e-0001,
-tpi = 0.636619772367581343075535053490057448;
-static GENERIC pone(GENERIC), qone(GENERIC);
+static const GENERIC zero = 0.0,
+ small = 1.0e-5,
+ tiny = 1.0e-20,
+ one = 1.0,
+ invsqrtpi = 5.641895835477562869480794515607725858441e-0001,
+ tpi = 0.636619772367581343075535053490057448;
+
+static GENERIC pone(GENERIC);
+static GENERIC qone(GENERIC);
+
static const GENERIC r0[4] = {
-6.250000000000002203053200981413218949548e-0002,
1.600998455640072901321605101981501263762e-0003,
-1.963888815948313758552511884390162864930e-0005,
8.263917341093549759781339713418201620998e-0008,
};
+
static const GENERIC s0[7] = {
1.0e0,
1.605069137643004242395356851797873766927e-0002,
1.149454623251299996428500249509098499383e-0004,
3.849701673735260970379681807910852327825e-0007,
};
+
static const GENERIC r1[12] = {
4.999999999999999995517408894340485471724e-0001,
-6.003825028120475684835384519945468075423e-0002,
2.301719899263321828388344461995355419832e-0003,
-4.208494869238892934859525221654040304068e-0005,
@@ -78,30 +83,36 @@
7.404320596071797459925377103787837414422e-0017,
-1.009457448277522275262808398517024439084e-0019,
8.520158355824819796968771418801019930585e-0023,
-3.458159926081163274483854614601091361424e-0026,
};
+
static const GENERIC s1[5] = {
1.0e0,
4.923499437590484879081138588998986303306e-0003,
1.054389489212184156499666953501976688452e-0005,
1.180768373106166527048240364872043816050e-0008,
5.942665743476099355323245707680648588540e-0012,
};
GENERIC
-j1(GENERIC x) {
+j1(GENERIC x)
+{
GENERIC z, d, s, c, ss, cc, r;
int i, sgn;
if (!finite(x))
- return (one/x);
+ return (one / x);
+
sgn = signbit(x);
x = fabs(x);
+
if (x > 8.00) {
s = sin(x);
c = cos(x);
+
+ /* BEGIN CSTYLED */
/*
* j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x0)-q1(x)*sin(x0))
* where x0 = x-3pi/4
* Better formula:
* cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
@@ -110,63 +121,79 @@
* = -1/sqrt(2) * (cos(x) + sin(x))
* To avoid cancellation, use
* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
* to compute the worse one.
*/
+ /* END CSTYLED */
if (x > 8.9e307) { /* x+x may overflow */
- ss = -s-c;
- cc = s-c;
+ ss = -s - c;
+ cc = s - c;
} else if (signbit(s) != signbit(c)) {
cc = s - c;
- ss = cos(x+x)/cc;
+ ss = cos(x + x) / cc;
} else {
- ss = -s-c;
- cc = cos(x+x)/ss;
+ ss = -s - c;
+ cc = cos(x + x) / ss;
}
+
/*
* j1(x) = 1/sqrt(pi*x) * (P(1,x)*cc - Q(1,x)*ss)
* y1(x) = 1/sqrt(pi*x) * (P(1,x)*ss + Q(1,x)*cc)
*/
if (x > 1.0e40)
- d = (invsqrtpi*cc)/sqrt(x);
+ d = (invsqrtpi * cc) / sqrt(x);
else
- d = invsqrtpi*(pone(x)*cc-qone(x)*ss)/sqrt(x);
+ d = invsqrtpi * (pone(x) * cc - qone(x) * ss) / sqrt(x);
if (x > X_TLOSS) {
- if (sgn != 0) { d = -d; x = -x; }
+ if (sgn != 0) {
+ d = -d;
+ x = -x;
+ }
+
return (_SVID_libm_err(x, d, 36));
- } else
- if (sgn == 0)
+ } else if (sgn == 0) {
return (d);
- else
+ } else {
return (-d);
}
+ }
+
if (x <= small) {
if (x <= tiny)
- d = 0.5*x;
+ d = 0.5 * x;
else
- d = x*(0.5-x*x*0.125);
+ d = x * (0.5 - x * x * 0.125);
+
if (sgn == 0)
return (d);
else
return (-d);
}
- z = x*x;
+
+ z = x * x;
+
if (x < 1.28) {
r = r0[3];
s = s0[3];
+
for (i = 2; i >= 0; i--) {
- r = r*z + r0[i];
- s = s*z + s0[i];
+ r = r * z + r0[i];
+ s = s * z + s0[i];
}
- d = x*0.5+x*(z*(r/s));
+
+ d = x * 0.5 + x * (z * (r / s));
} else {
r = r1[11];
- for (i = 10; i >= 0; i--) r = r*z + r1[i];
- s = s1[0]+z*(s1[1]+z*(s1[2]+z*(s1[3]+z*s1[4])));
- d = x*(r/s);
+
+ for (i = 10; i >= 0; i--)
+ r = r * z + r1[i];
+
+ s = s1[0] + z * (s1[1] + z * (s1[2] + z * (s1[3] + z * s1[4])));
+ d = x * (r / s);
}
+
if (sgn == 0)
return (d);
else
return (-d);
}
@@ -175,17 +202,19 @@
-1.960570906462389461018983259589655961560e-0001,
4.931824118350661953459180060007970291139e-0002,
-1.626975871565393656845930125424683008677e-0003,
1.359657517926394132692884168082224258360e-0005,
};
+
static const GENERIC v0[5] = {
1.0e0,
2.565807214838390835108224713630901653793e-0002,
3.374175208978404268650522752520906231508e-0004,
2.840368571306070719539936935220728843177e-0006,
1.396387402048998277638900944415752207592e-0008,
};
+
static const GENERIC u1[12] = {
-1.960570906462389473336339614647555351626e-0001,
5.336268030335074494231369159933012844735e-0002,
-2.684137504382748094149184541866332033280e-0003,
5.737671618979185736981543498580051903060e-0005,
@@ -196,39 +225,45 @@
-1.427502986803861372125234355906790573422e-0016,
2.020392498726806769468143219616642940371e-0019,
-1.761371948595104156753045457888272716340e-0022,
7.352828391941157905175042420249225115816e-0026,
};
+
static const GENERIC v1[5] = {
1.0e0,
5.029187436727947764916247076102283399442e-0003,
1.102693095808242775074856548927801750627e-0005,
1.268035774543174837829534603830227216291e-0008,
6.579416271766610825192542295821308730206e-0012,
};
-
GENERIC
-y1(GENERIC x) {
+y1(GENERIC x)
+{
GENERIC z, d, s, c, ss, cc, u, v;
int i;
if (isnan(x))
- return (x*x); /* + -> * for Cheetah */
+ return (x * x); /* + -> * for Cheetah */
+
if (x <= zero) {
if (x == zero)
/* return -one/zero; */
return (_SVID_libm_err(x, x, 10));
else
/* return zero/zero; */
return (_SVID_libm_err(x, x, 11));
}
+
if (x > 8.0) {
if (!finite(x))
return (zero);
+
s = sin(x);
c = cos(x);
+
+ /* BEGIN CSTYLED */
/*
* j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x0)-q1(x)*sin(x0))
* where x0 = x-3pi/4
* Better formula:
* cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
@@ -237,115 +272,125 @@
* = -1/sqrt(2) * (cos(x) + sin(x))
* To avoid cancellation, use
* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
* to compute the worse one.
*/
+ /* END CSTYLED */
if (x > 8.9e307) { /* x+x may overflow */
- ss = -s-c;
- cc = s-c;
+ ss = -s - c;
+ cc = s - c;
} else if (signbit(s) != signbit(c)) {
cc = s - c;
- ss = cos(x+x)/cc;
+ ss = cos(x + x) / cc;
} else {
- ss = -s-c;
- cc = cos(x+x)/ss;
+ ss = -s - c;
+ cc = cos(x + x) / ss;
}
+
/*
* j1(x) = 1/sqrt(pi*x) * (P(1,x)*cc - Q(1,x)*ss)
* y1(x) = 1/sqrt(pi*x) * (P(1,x)*ss + Q(1,x)*cc)
*/
if (x > 1.0e91)
- d = (invsqrtpi*ss)/sqrt(x);
+ d = (invsqrtpi * ss) / sqrt(x);
else
- d = invsqrtpi*(pone(x)*ss+qone(x)*cc)/sqrt(x);
+ d = invsqrtpi * (pone(x) * ss + qone(x) * cc) / sqrt(x);
if (x > X_TLOSS)
return (_SVID_libm_err(x, d, 37));
else
return (d);
}
- if (x <= tiny) {
- return (-tpi/x);
- }
- z = x*x;
+
+ if (x <= tiny)
+ return (-tpi / x);
+
+ z = x * x;
+
if (x < 1.28) {
- u = u0[3]; v = v0[3]+z*v0[4];
+ u = u0[3];
+ v = v0[3] + z * v0[4];
+
for (i = 2; i >= 0; i--) {
- u = u*z + u0[i];
- v = v*z + v0[i];
+ u = u * z + u0[i];
+ v = v * z + v0[i];
}
} else {
- for (u = u1[11], i = 10; i >= 0; i--) u = u*z+u1[i];
- v = v1[0]+z*(v1[1]+z*(v1[2]+z*(v1[3]+z*v1[4])));
+ for (u = u1[11], i = 10; i >= 0; i--)
+ u = u * z + u1[i];
+
+ v = v1[0] + z * (v1[1] + z * (v1[2] + z * (v1[3] + z * v1[4])));
}
- return (x*(u/v) + tpi*(j1(x)*log(x)-one/x));
+
+ return (x * (u / v) + tpi * (j1(x) * log(x) - one / x));
}
static const GENERIC pr0[6] = {
- -.4435757816794127857114720794e7,
- -.9942246505077641195658377899e7,
- -.6603373248364939109255245434e7,
- -.1523529351181137383255105722e7,
- -.1098240554345934672737413139e6,
- -.1611616644324610116477412898e4,
+ -.4435757816794127857114720794e7, -.9942246505077641195658377899e7,
+ -.6603373248364939109255245434e7, -.1523529351181137383255105722e7,
+ -.1098240554345934672737413139e6, -.1611616644324610116477412898e4,
};
+
static const GENERIC ps0[6] = {
- -.4435757816794127856828016962e7,
- -.9934124389934585658967556309e7,
- -.6585339479723087072826915069e7,
- -.1511809506634160881644546358e7,
- -.1072638599110382011903063867e6,
- -.1455009440190496182453565068e4,
+ -.4435757816794127856828016962e7, -.9934124389934585658967556309e7,
+ -.6585339479723087072826915069e7, -.1511809506634160881644546358e7,
+ -.1072638599110382011903063867e6, -.1455009440190496182453565068e4,
};
-static const GENERIC huge = 1.0e10;
+static const GENERIC huge = 1.0e10;
static GENERIC
-pone(GENERIC x) {
+pone(GENERIC x)
+{
GENERIC s, r, t, z;
int i;
+
/* assume x > 8 */
if (x > huge)
return (one);
- t = 8.0/x; z = t*t;
- r = pr0[5]; s = ps0[5]+z;
+ t = 8.0 / x;
+ z = t * t;
+ r = pr0[5];
+ s = ps0[5] + z;
+
for (i = 4; i >= 0; i--) {
- r = z*r + pr0[i];
- s = z*s + ps0[i];
+ r = z * r + pr0[i];
+ s = z * s + ps0[i];
}
- return (r/s);
-}
+ return (r / s);
+}
static const GENERIC qr0[6] = {
- 0.3322091340985722351859704442e5,
- 0.8514516067533570196555001171e5,
- 0.6617883658127083517939992166e5,
- 0.1849426287322386679652009819e5,
- 0.1706375429020768002061283546e4,
- 0.3526513384663603218592175580e2,
+ 0.3322091340985722351859704442e5, 0.8514516067533570196555001171e5,
+ 0.6617883658127083517939992166e5, 0.1849426287322386679652009819e5,
+ 0.1706375429020768002061283546e4, 0.3526513384663603218592175580e2,
};
+
static const GENERIC qs0[6] = {
- 0.7087128194102874357377502472e6,
- 0.1819458042243997298924553839e7,
- 0.1419460669603720892855755253e7,
- 0.4002944358226697511708610813e6,
- 0.3789022974577220264142952256e5,
- 0.8638367769604990967475517183e3,
+ 0.7087128194102874357377502472e6, 0.1819458042243997298924553839e7,
+ 0.1419460669603720892855755253e7, 0.4002944358226697511708610813e6,
+ 0.3789022974577220264142952256e5, 0.8638367769604990967475517183e3,
};
static GENERIC
-qone(GENERIC x) {
+qone(GENERIC x)
+{
GENERIC s, r, t, z;
int i;
+
if (x > huge)
- return (0.375/x);
+ return (0.375 / x);
- t = 8.0/x; z = t*t;
+ t = 8.0 / x;
+ z = t * t;
/* assume x > 8 */
- r = qr0[5]; s = qs0[5]+z;
+ r = qr0[5];
+ s = qs0[5] + z;
+
for (i = 4; i >= 0; i--) {
- r = z*r + qr0[i];
- s = z*s + qs0[i];
+ r = z * r + qr0[i];
+ s = z * s + qs0[i];
}
- return (t*(r/s));
+
+ return (t * (r / s));
}