summaryrefslogtreecommitdiff
path: root/src/math/j1.c
diff options
context:
space:
mode:
Diffstat (limited to 'src/math/j1.c')
-rw-r--r--src/math/j1.c33
1 files changed, 15 insertions, 18 deletions
diff --git a/src/math/j1.c b/src/math/j1.c
index 29ccff0c..4a2cba8d 100644
--- a/src/math/j1.c
+++ b/src/math/j1.c
@@ -60,7 +60,6 @@ static double pone(double), qone(double);
static const double
huge = 1e300,
-one = 1.0,
invsqrtpi = 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
/* R0/S0 on [0,2] */
@@ -74,8 +73,6 @@ s03 = 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
s04 = 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
s05 = 1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */
-static const double zero = 0.0;
-
double j1(double x)
{
double z,s,c,ss,cc,r,u,v,y;
@@ -84,7 +81,7 @@ double j1(double x)
GET_HIGH_WORD(hx, x);
ix = hx & 0x7fffffff;
if (ix >= 0x7ff00000)
- return one/x;
+ return 1.0/x;
y = fabs(x);
if (ix >= 0x40000000) { /* |x| >= 2.0 */
s = sin(y);
@@ -93,7 +90,7 @@ double j1(double x)
cc = s-c;
if (ix < 0x7fe00000) { /* make sure y+y not overflow */
z = cos(y+y);
- if (s*c > zero)
+ if (s*c > 0.0)
cc = z/ss;
else
ss = z/cc;
@@ -116,12 +113,12 @@ double j1(double x)
}
if (ix < 0x3e400000) { /* |x| < 2**-27 */
/* raise inexact if x!=0 */
- if (huge+x > one)
+ if (huge+x > 1.0)
return 0.5*x;
}
z = x*x;
r = z*(r00+z*(r01+z*(r02+z*r03)));
- s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ s = 1.0+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
r *= x;
return x*0.5 + r/s;
}
@@ -151,11 +148,11 @@ double y1(double x)
ix = 0x7fffffff & hx;
/* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
if (ix >= 0x7ff00000)
- return one/(x+x*x);
+ return 1.0/(x+x*x);
if ((ix|lx) == 0)
- return -one/zero;
+ return -1.0/0.0;
if (hx < 0)
- return zero/zero;
+ return 0.0/0.0;
if (ix >= 0x40000000) { /* |x| >= 2.0 */
s = sin(x);
c = cos(x);
@@ -163,7 +160,7 @@ double y1(double x)
cc = s-c;
if (ix < 0x7fe00000) { /* make sure x+x not overflow */
z = cos(x+x);
- if (s*c > zero)
+ if (s*c > 0.0)
cc = z/ss;
else
ss = z/cc;
@@ -192,8 +189,8 @@ double y1(double x)
return -tpi/x;
z = x*x;
u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
- v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
- return x*(u/v) + tpi*(j1(x)*log(x)-one/x);
+ v = 1.0+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+ return x*(u/v) + tpi*(j1(x)*log(x)-1.0/x);
}
/* For x >= 8, the asymptotic expansions of pone is
@@ -282,10 +279,10 @@ static double pone(double x)
else if (ix >= 0x40122E8B){p = pr5; q = ps5;}
else if (ix >= 0x4006DB6D){p = pr3; q = ps3;}
else if (ix >= 0x40000000){p = pr2; q = ps2;}
- z = one/(x*x);
+ z = 1.0/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
- s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
- return one+ r/s;
+ s = 1.0+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return 1.0+ r/s;
}
/* For x >= 8, the asymptotic expansions of qone is
@@ -378,8 +375,8 @@ static double qone(double x)
else if (ix >= 0x40122E8B){p = qr5; q = qs5;}
else if (ix >= 0x4006DB6D){p = qr3; q = qs3;}
else if (ix >= 0x40000000){p = qr2; q = qs2;}
- z = one/(x*x);
+ z = 1.0/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
- s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ s = 1.0+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
return (.375 + r/s)/x;
}