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diff --git a/e_acos.cpp b/e_acos.cpp
--- a/e_acos.cpp
+++ b/e_acos.cpp
@@ -33,16 +33,17 @@
*
* Special cases:
* if x is NaN, return x itself;
* if |x|>1, return NaN with invalid signal.
*
* Function needed: sqrt
*/
+#include <cmath>
#include <float.h>
#include "math_private.h"
static const double
one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
pio2_hi = 1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
@@ -82,23 +83,23 @@ __ieee754_acos(double x)
p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
r = p/q;
return pio2_hi - (x - (pio2_lo-x*r));
} else if (hx<0) { /* x < -0.5 */
z = (one+x)*0.5;
p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
- s = sqrt(z);
+ s = std::sqrt(z);
r = p/q;
w = r*s-pio2_lo;
return pi - 2.0*(s+w);
} else { /* x > 0.5 */
z = (one-x)*0.5;
- s = sqrt(z);
+ s = std::sqrt(z);
df = s;
SET_LOW_WORD(df,0);
c = (z-df*df)/(s+df);
p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
r = p/q;
w = r*s+c;
return 2.0*(df+w);
diff --git a/e_acosh.cpp b/e_acosh.cpp
--- a/e_acosh.cpp
+++ b/e_acosh.cpp
@@ -24,16 +24,17 @@
* acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
* acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
*
* Special cases:
* acosh(x) is NaN with signal if x<1.
* acosh(NaN) is NaN without signal.
*/
+#include <cmath>
#include <float.h>
#include "math_private.h"
static const double
one = 1.0,
ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
@@ -50,14 +51,14 @@ __ieee754_acosh(double x)
if(hx >=0x7ff00000) { /* x is inf of NaN */
return x+x;
} else
return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */
} else if(((hx-0x3ff00000)|lx)==0) {
return 0.0; /* acosh(1) = 0 */
} else if (hx > 0x40000000) { /* 2**28 > x > 2 */
t=x*x;
- return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
+ return __ieee754_log(2.0*x-one/(x+std::sqrt(t-one)));
} else { /* 1<x<2 */
t = x-one;
- return log1p(t+sqrt(2.0*t+t*t));
+ return log1p(t+std::sqrt(2.0*t+t*t));
}
}
diff --git a/e_asin.cpp b/e_asin.cpp
--- a/e_asin.cpp
+++ b/e_asin.cpp
@@ -39,16 +39,17 @@
* = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))
*
* Special cases:
* if x is NaN, return x itself;
* if |x|>1, return NaN with invalid signal.
*
*/
+#include <cmath>
#include <float.h>
#include "math_private.h"
static const double
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
huge = 1.000e+300,
pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
@@ -90,17 +91,17 @@ __ieee754_asin(double x)
w = p/q;
return x+x*w;
}
/* 1> |x|>= 0.5 */
w = one-fabs(x);
t = w*0.5;
p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
- s = sqrt(t);
+ s = std::sqrt(t);
if(ix>=0x3FEF3333) { /* if |x| > 0.975 */
w = p/q;
t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
} else {
w = s;
SET_LOW_WORD(w,0);
c = (t-w*w)/(s+w);
r = p/q;
diff --git a/e_hypot.cpp b/e_hypot.cpp
--- a/e_hypot.cpp
+++ b/e_hypot.cpp
@@ -41,16 +41,17 @@
* hypot(x,y) is INF if x or y is +INF or -INF; else
* hypot(x,y) is NAN if x or y is NAN.
*
* Accuracy:
* hypot(x,y) returns sqrt(x^2+y^2) with error less
* than 1 ulps (units in the last place)
*/
+#include <cmath>
#include <float.h>
#include "math_private.h"
double
__ieee754_hypot(double x, double y)
{
double a,b,t1,t2,y1,y2,w;
@@ -100,25 +101,25 @@ __ieee754_hypot(double x, double y)
}
}
/* medium size a and b */
w = a-b;
if (w>b) {
t1 = 0;
SET_HIGH_WORD(t1,ha);
t2 = a-t1;
- w = sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+ w = std::sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
} else {
a = a+a;
y1 = 0;
SET_HIGH_WORD(y1,hb);
y2 = b - y1;
t1 = 0;
SET_HIGH_WORD(t1,ha+0x00100000);
t2 = a - t1;
- w = sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ w = std::sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
}
if(k!=0) {
t1 = 0.0;
SET_HIGH_WORD(t1,(1023+k)<<20);
return t1*w;
} else return w;
}
diff --git a/e_pow.cpp b/e_pow.cpp
--- a/e_pow.cpp
+++ b/e_pow.cpp
@@ -52,16 +52,17 @@
*
* Constants :
* The hexadecimal values are the intended ones for the following
* constants. The decimal values may be used, provided that the
* compiler will convert from decimal to binary accurately enough
* to produce the hexadecimal values shown.
*/
+#include <cmath>
#include <float.h>
#include "math_private.h"
static const double
bp[] = {1.0, 1.5,},
dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
zero = 0.0,
@@ -151,17 +152,17 @@ __ieee754_pow(double x, double y)
return (hy<0)?-y: zero;
}
if(iy==0x3ff00000) { /* y is +-1 */
if(hy<0) return one/x; else return x;
}
if(hy==0x40000000) return x*x; /* y is 2 */
if(hy==0x3fe00000) { /* y is 0.5 */
if(hx>=0) /* x >= +0 */
- return sqrt(x);
+ return std::sqrt(x);
}
}
ax = fabs(x);
/* special value of x */
if(lx==0) {
if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
z = ax; /*x is +-0,+-inf,+-1*/
diff --git a/s_asinh.cpp b/s_asinh.cpp
--- a/s_asinh.cpp
+++ b/s_asinh.cpp
@@ -19,16 +19,17 @@
* asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
* we have
* asinh(x) := x if 1+x*x=1,
* := sign(x)*(log(x)+ln2)) for large |x|, else
* := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
* := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
*/
+#include <cmath>
#include <float.h>
#include "math_private.h"
static const double
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
huge= 1.00000000000000000000e+300;
@@ -43,15 +44,15 @@ asinh(double x)
if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
if(ix< 0x3e300000) { /* |x|<2**-28 */
if(huge+x>one) return x; /* return x inexact except 0 */
}
if(ix>0x41b00000) { /* |x| > 2**28 */
w = __ieee754_log(fabs(x))+ln2;
} else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
t = fabs(x);
- w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t));
+ w = __ieee754_log(2.0*t+one/(std::sqrt(x*x+one)+t));
} else { /* 2.0 > |x| > 2**-28 */
t = x*x;
- w =log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t)));
+ w =log1p(fabs(x)+t/(one+std::sqrt(one+t)));
}
if(hx>0) return w; else return -w;
}
--- a/e_asinf.cpp 2022-12-13 14:45:17.953154257 -0500
+++ b/e_asinf.cpp 2022-12-13 14:45:03.425091710 -0500
@@ -11,16 +11,18 @@
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
//#include <sys/cdefs.h>
//__FBSDID("$FreeBSD$");
+#include <cmath>
+
#include "math_private.h"
static const float
one = 1.0000000000e+00, /* 0x3F800000 */
huge = 1.000e+30,
/* coefficient for R(x^2) */
pS0 = 1.6666586697e-01,
pS1 = -4.2743422091e-02,
@@ -52,13 +54,13 @@
w = p/q;
return x+x*w;
}
/* 1> |x|>= 0.5 */
w = one-fabsf(x);
t = w*(float)0.5;
p = t*(pS0+t*(pS1+t*pS2));
q = one+t*qS1;
- s = sqrt(t);
+ s = std::sqrt(t);
w = p/q;
t = pio2-2.0*(s+s*w);
if(hx>0) return t; else return -t;
}