Author: kargl
Date: Sun Mar 1 20:26:03 2015
New Revision: 279491
URL: https://svnweb.freebsd.org/changeset/base/279491
Log:
When j0() and j1() were converted to j0f() and j1f(), the threshold
values for the different invervals were not converted correctly.
Adjust the threshold values to values, which should agree with the
comments.
Reported by: cognet (j1f only)
Discussed with: pfg, bde
Reviewed by: bde
Modified:
head/lib/msun/src/e_j0f.c
head/lib/msun/src/e_j1f.c
Modified: head/lib/msun/src/e_j0f.c
==============================================================================
--- head/lib/msun/src/e_j0f.c Sun Mar 1 20:22:28 2015 (r279490)
+++ head/lib/msun/src/e_j0f.c Sun Mar 1 20:26:03 2015 (r279491)
@@ -62,7 +62,7 @@ __ieee754_j0f(float x)
* j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
* y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
*/
- if(ix>0x54000000) z = (invsqrtpi*cc)/sqrtf(x);
+ if(ix>0x58000000) z = (invsqrtpi*cc)/sqrtf(x); /* |x|>2**49 */
else {
u = pzerof(x); v = qzerof(x);
z = invsqrtpi*(u*cc-v*ss)/sqrtf(x);
@@ -136,14 +136,14 @@ __ieee754_y0f(float x)
if ((s*c)<zero) cc = z/ss;
else ss = z/cc;
}
- if(ix>0x54800000) z = (invsqrtpi*ss)/sqrtf(x);
+ if(ix>0x58000000) z = (invsqrtpi*ss)/sqrtf(x); /* |x|>2**49 */
else {
u = pzerof(x); v = qzerof(x);
z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
}
return z;
}
- if(ix<=0x32000000) { /* x < 2**-27 */
+ if(ix<=0x39000000) { /* x < 2**-13 */
return(u00 + tpi*__ieee754_logf(x));
}
z = x*x;
@@ -232,8 +232,8 @@ static const float pS2[5] = {
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if(ix>=0x41000000) {p = pR8; q= pS8;}
- else if(ix>=0x40f71c58){p = pR5; q= pS5;}
- else if(ix>=0x4036db68){p = pR3; q= pS3;}
+ else if(ix>=0x409173eb){p = pR5; q= pS5;}
+ else if(ix>=0x4036d917){p = pR3; q= pS3;}
else {p = pR2; q= pS2;} /* ix>=0x40000000 */
z = one/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
@@ -327,8 +327,8 @@ static const float qS2[6] = {
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if(ix>=0x41000000) {p = qR8; q= qS8;}
- else if(ix>=0x40f71c58){p = qR5; q= qS5;}
- else if(ix>=0x4036db68){p = qR3; q= qS3;}
+ else if(ix>=0x409173eb){p = qR5; q= qS5;}
+ else if(ix>=0x4036d917){p = qR3; q= qS3;}
else {p = qR2; q= qS2;} /* ix>=0x40000000 */
z = one/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
Modified: head/lib/msun/src/e_j1f.c
==============================================================================
--- head/lib/msun/src/e_j1f.c Sun Mar 1 20:22:28 2015 (r279490)
+++ head/lib/msun/src/e_j1f.c Sun Mar 1 20:26:03 2015 (r279491)
@@ -63,7 +63,7 @@ __ieee754_j1f(float x)
* j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
* y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
*/
- if(ix>0x80000000) z = (invsqrtpi*cc)/sqrtf(y);
+ if(ix>0x58000000) z = (invsqrtpi*cc)/sqrtf(y); /* |x|>2**49 */
else {
u = ponef(y); v = qonef(y);
z = invsqrtpi*(u*cc-v*ss)/sqrtf(y);
@@ -71,7 +71,7 @@ __ieee754_j1f(float x)
if(hx<0) return -z;
else return z;
}
- if(ix<0x32000000) { /* |x|<2**-27 */
+ if(ix<0x39000000) { /* |x|<2**-13 */
if(huge+x>one) return (float)0.5*x;/* inexact if x!=0 necessary */
}
z = x*x;
@@ -129,14 +129,14 @@ __ieee754_y1f(float x)
* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
* to compute the worse one.
*/
- if(ix>0x48000000) z = (invsqrtpi*ss)/sqrtf(x);
+ if(ix>0x58000000) z = (invsqrtpi*ss)/sqrtf(x); /* |x|>2**49 */
else {
u = ponef(x); v = qonef(x);
z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
}
return z;
}
- if(ix<=0x24800000) { /* x < 2**-54 */
+ if(ix<=0x33000000) { /* x < 2**-25 */
return(-tpi/x);
}
z = x*x;
@@ -227,8 +227,8 @@ static const float ps2[5] = {
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
if(ix>=0x41000000) {p = pr8; q= ps8;}
- else if(ix>=0x40f71c58){p = pr5; q= ps5;}
- else if(ix>=0x4036db68){p = pr3; q= ps3;}
+ else if(ix>=0x409173eb){p = pr5; q= ps5;}
+ else if(ix>=0x4036d917){p = pr3; q= ps3;}
else {p = pr2; q= ps2;} /* ix>=0x40000000 */
z = one/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
@@ -322,9 +322,9 @@ static const float qs2[6] = {
int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
- if(ix>=0x40200000) {p = qr8; q= qs8;}
- else if(ix>=0x40f71c58){p = qr5; q= qs5;}
- else if(ix>=0x4036db68){p = qr3; q= qs3;}
+ if(ix>=0x41000000) {p = qr8; q= qs8;}
+ else if(ix>=0x409173eb){p = qr5; q= qs5;}
+ else if(ix>=0x4036d917){p = qr3; q= qs3;}
else {p = qr2; q= qs2;} /* ix>=0x40000000 */
z = one/(x*x);
r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
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