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0.9.5 release notes
[musl]
/
src
/
math
/
erff.c
diff --git
a/src/math/erff.c
b/src/math/erff.c
index
eef4851
..
a0a304e
100644
(file)
--- a/
src/math/erff.c
+++ b/
src/math/erff.c
@@
-17,9
+17,6
@@
static const float
tiny = 1e-30,
static const float
tiny = 1e-30,
-half = 5.0000000000e-01, /* 0x3F000000 */
-one = 1.0000000000e+00, /* 0x3F800000 */
-two = 2.0000000000e+00, /* 0x40000000 */
/* c = (subfloat)0.84506291151 */
erx = 8.4506291151e-01, /* 0x3f58560b */
/*
/* c = (subfloat)0.84506291151 */
erx = 8.4506291151e-01, /* 0x3f58560b */
/*
@@
-100,7
+97,7
@@
float erff(float x)
if (ix >= 0x7f800000) {
/* erf(nan)=nan, erf(+-inf)=+-1 */
i = ((uint32_t)hx>>31)<<1;
if (ix >= 0x7f800000) {
/* erf(nan)=nan, erf(+-inf)=+-1 */
i = ((uint32_t)hx>>31)<<1;
- return (float)(1-i)+
one
/x;
+ return (float)(1-i)+
1.0f
/x;
}
if (ix < 0x3f580000) { /* |x| < 0.84375 */
if (ix < 0x31800000) { /* |x| < 2**-28 */
}
if (ix < 0x3f580000) { /* |x| < 0.84375 */
if (ix < 0x31800000) { /* |x| < 2**-28 */
@@
-111,42
+108,42
@@
float erff(float x)
}
z = x*x;
r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
}
z = x*x;
r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
- s =
one
+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ s =
1.0f
+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
y = r/s;
return x + x*y;
}
if (ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
y = r/s;
return x + x*y;
}
if (ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
- s = fabsf(x)-
one
;
+ s = fabsf(x)-
1.0f
;
P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
- Q =
one
+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ Q =
1.0f
+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
if (hx >= 0)
return erx + P/Q;
return -erx - P/Q;
}
if (ix >= 0x40c00000) { /* inf > |x| >= 6 */
if (hx >= 0)
if (hx >= 0)
return erx + P/Q;
return -erx - P/Q;
}
if (ix >= 0x40c00000) { /* inf > |x| >= 6 */
if (hx >= 0)
- return
one
- tiny;
- return tiny -
one
;
+ return
1.0f
- tiny;
+ return tiny -
1.0f
;
}
x = fabsf(x);
}
x = fabsf(x);
- s =
one
/(x*x);
+ s =
1.0f
/(x*x);
if (ix < 0x4036DB6E) { /* |x| < 1/0.35 */
R = ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
ra5+s*(ra6+s*ra7))))));
if (ix < 0x4036DB6E) { /* |x| < 1/0.35 */
R = ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
ra5+s*(ra6+s*ra7))))));
- S =
one
+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ S =
1.0f
+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
sa5+s*(sa6+s*(sa7+s*sa8)))))));
} else { /* |x| >= 1/0.35 */
R = rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
rb5+s*rb6)))));
sa5+s*(sa6+s*(sa7+s*sa8)))))));
} else { /* |x| >= 1/0.35 */
R = rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
rb5+s*rb6)))));
- S =
one
+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ S =
1.0f
+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
sb5+s*(sb6+s*sb7))))));
}
GET_FLOAT_WORD(ix, x);
SET_FLOAT_WORD(z, ix&0xfffff000);
r = expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S);
if (hx >= 0)
sb5+s*(sb6+s*sb7))))));
}
GET_FLOAT_WORD(ix, x);
SET_FLOAT_WORD(z, ix&0xfffff000);
r = expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S);
if (hx >= 0)
- return
one
- r/x;
- return r/x -
one
;
+ return
1.0f
- r/x;
+ return r/x -
1.0f
;
}
float erfcf(float x)
}
float erfcf(float x)
@@
-158,50
+155,50
@@
float erfcf(float x)
ix = hx & 0x7fffffff;
if (ix >= 0x7f800000) {
/* erfc(nan)=nan, erfc(+-inf)=0,2 */
ix = hx & 0x7fffffff;
if (ix >= 0x7f800000) {
/* erfc(nan)=nan, erfc(+-inf)=0,2 */
- return (float)(((uint32_t)hx>>31)<<1) +
one
/x;
+ return (float)(((uint32_t)hx>>31)<<1) +
1.0f
/x;
}
if (ix < 0x3f580000) { /* |x| < 0.84375 */
if (ix < 0x23800000) /* |x| < 2**-56 */
}
if (ix < 0x3f580000) { /* |x| < 0.84375 */
if (ix < 0x23800000) /* |x| < 2**-56 */
- return
one
- x;
+ return
1.0f
- x;
z = x*x;
r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
z = x*x;
r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
- s =
one
+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ s =
1.0f
+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
y = r/s;
if (hx < 0x3e800000) { /* x<1/4 */
y = r/s;
if (hx < 0x3e800000) { /* x<1/4 */
- return
one
- (x+x*y);
+ return
1.0f
- (x+x*y);
} else {
r = x*y;
} else {
r = x*y;
- r += (x-
hal
f);
- return
hal
f - r ;
+ r += (x-
0.5
f);
+ return
0.5
f - r ;
}
}
if (ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
}
}
if (ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
- s = fabsf(x)-
one
;
+ s = fabsf(x)-
1.0f
;
P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
- Q =
one
+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ Q =
1.0f
+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
if(hx >= 0) {
if(hx >= 0) {
- z =
one
- erx;
+ z =
1.0f
- erx;
return z - P/Q;
} else {
z = erx + P/Q;
return z - P/Q;
} else {
z = erx + P/Q;
- return
one
+ z;
+ return
1.0f
+ z;
}
}
if (ix < 0x41e00000) { /* |x| < 28 */
x = fabsf(x);
}
}
if (ix < 0x41e00000) { /* |x| < 28 */
x = fabsf(x);
- s =
one
/(x*x);
+ s =
1.0f
/(x*x);
if (ix < 0x4036DB6D) { /* |x| < 1/.35 ~ 2.857143*/
R = ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
ra5+s*(ra6+s*ra7))))));
if (ix < 0x4036DB6D) { /* |x| < 1/.35 ~ 2.857143*/
R = ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
ra5+s*(ra6+s*ra7))))));
- S =
one
+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ S =
1.0f
+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
sa5+s*(sa6+s*(sa7+s*sa8)))))));
} else { /* |x| >= 1/.35 ~ 2.857143 */
if (hx < 0 && ix >= 0x40c00000) /* x < -6 */
sa5+s*(sa6+s*(sa7+s*sa8)))))));
} else { /* |x| >= 1/.35 ~ 2.857143 */
if (hx < 0 && ix >= 0x40c00000) /* x < -6 */
- return
two
-tiny;
+ return
2.0f
-tiny;
R = rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
rb5+s*rb6)))));
R = rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
rb5+s*rb6)))));
- S =
one
+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ S =
1.0f
+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
sb5+s*(sb6+s*sb7))))));
}
GET_FLOAT_WORD(ix, x);
sb5+s*(sb6+s*sb7))))));
}
GET_FLOAT_WORD(ix, x);
@@
-209,9
+206,9
@@
float erfcf(float x)
r = expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S);
if (hx > 0)
return r/x;
r = expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S);
if (hx > 0)
return r/x;
- return
two
- r/x;
+ return
2.0f
- r/x;
}
if (hx > 0)
return tiny*tiny;
}
if (hx > 0)
return tiny*tiny;
- return
two
- tiny;
+ return
2.0f
- tiny;
}
}