Instruction stringlengths 45 106 | input_code stringlengths 1 13.7k | output_code stringlengths 1 13.7k |
|---|---|---|
Keep all operations the same but rewrite the snippet in C. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Write the same algorithm in C# as shown in this Perl implementation. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Preserve the algorithm and functionality while converting the code from Perl to C#. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Write a version of this Perl function in C++ with identical behavior. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Convert the following code from Perl to C++, ensuring the logic remains intact. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Port the provided Perl code into Java while preserving the original functionality. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Translate the given Perl code snippet into Java without altering its behavior. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Write a version of this Perl function in Python with identical behavior. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Keep all operations the same but rewrite the snippet in Python. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Maintain the same structure and functionality when rewriting this code in Go. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Translate the given Perl code snippet into Go without altering its behavior. | use Math::Complex;
print exp(pi * i) + 1, "\n";
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Port the provided R code into C while preserving the original functionality. |
exp(1i * pi) + 1
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Generate an equivalent C version of this R code. |
exp(1i * pi) + 1
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Produce a functionally identical C# code for the snippet given in R. |
exp(1i * pi) + 1
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Ensure the translated C# code behaves exactly like the original R snippet. |
exp(1i * pi) + 1
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Can you help me rewrite this code in C++ instead of R, keeping it the same logically? |
exp(1i * pi) + 1
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Port the following code from R to C++ with equivalent syntax and logic. |
exp(1i * pi) + 1
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Maintain the same structure and functionality when rewriting this code in Java. |
exp(1i * pi) + 1
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Translate the given R code snippet into Java without altering its behavior. |
exp(1i * pi) + 1
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Keep all operations the same but rewrite the snippet in Python. |
exp(1i * pi) + 1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Convert the following code from R to Python, ensuring the logic remains intact. |
exp(1i * pi) + 1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Write the same code in Go as shown below in R. |
exp(1i * pi) + 1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Keep all operations the same but rewrite the snippet in Go. |
exp(1i * pi) + 1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Please provide an equivalent version of this Racket code in C. | #lang racket
(+ (exp (* 0+i pi)) 1)
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Produce a language-to-language conversion: from Racket to C, same semantics. | #lang racket
(+ (exp (* 0+i pi)) 1)
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Write a version of this Racket function in C# with identical behavior. | #lang racket
(+ (exp (* 0+i pi)) 1)
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Write a version of this Racket function in C# with identical behavior. | #lang racket
(+ (exp (* 0+i pi)) 1)
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Write the same code in C++ as shown below in Racket. | #lang racket
(+ (exp (* 0+i pi)) 1)
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Write a version of this Racket function in C++ with identical behavior. | #lang racket
(+ (exp (* 0+i pi)) 1)
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Port the following code from Racket to Java with equivalent syntax and logic. | #lang racket
(+ (exp (* 0+i pi)) 1)
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Rewrite this program in Java while keeping its functionality equivalent to the Racket version. | #lang racket
(+ (exp (* 0+i pi)) 1)
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Translate this program into Python but keep the logic exactly as in Racket. | #lang racket
(+ (exp (* 0+i pi)) 1)
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Translate the given Racket code snippet into Python without altering its behavior. | #lang racket
(+ (exp (* 0+i pi)) 1)
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Maintain the same structure and functionality when rewriting this code in Go. | #lang racket
(+ (exp (* 0+i pi)) 1)
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Keep all operations the same but rewrite the snippet in Go. | #lang racket
(+ (exp (* 0+i pi)) 1)
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Produce a functionally identical C code for the snippet given in REXX. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Please provide an equivalent version of this REXX code in C. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Ensure the translated C# code behaves exactly like the original REXX snippet. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Port the following code from REXX to C# with equivalent syntax and logic. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Rewrite this program in C++ while keeping its functionality equivalent to the REXX version. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Please provide an equivalent version of this REXX code in C++. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Generate an equivalent Java version of this REXX code. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Ensure the translated Java code behaves exactly like the original REXX snippet. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Produce a language-to-language conversion: from REXX to Python, same semantics. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Port the following code from REXX to Python with equivalent syntax and logic. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Rewrite this program in Go while keeping its functionality equivalent to the REXX version. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Produce a functionally identical Go code for the snippet given in REXX. |
numeric digits length( pi() ) - length(.)
cosPI= fmt( cos(pi) )
sinPI= fmt( sin(pi) )
say ' cos(pi) = ' cosPI
say ' sin(pi) = ' sinPI
say
$= cosPI + mult( sqrt(-1), sinPI ) + 1
say ' e^(i pi) + 1 = ' fmt($) ' ' word("unproven proven", ($=0) + 1)
exit
fmt: procedure; parse arg x; x= format(x, , digits() %2, 0); return left('', x>=0)x /1
mult: procedure; parse arg a,b; if a=0 | b=0 then return 0; return a*b
pi: pi= 3.1415926535897932384626433832795028841971693993751058209749445923; return pi
cos: procedure; parse arg x; z= 1; _= 1; q= x*x; i= -1; return .sinCos()
sin: procedure; parse arg x 1 z 1 _; q= x*x; i= 1; return .sinCos()
.sinCos: do k=2 by 2 until p=z; p=z; _= -_ * q/(k*(k+i)); z= z+_; end; return z
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); i=; h= d+6
numeric digits; numeric form; if x<0 then do; x= -x; i= 'i'; end; m.= 9
parse value format(x, 2, 1, , 0) 'E0' with g 'E' _ .; g= g * .5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g) *.5; end; return g || i
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Generate a C translation of this Ruby snippet without changing its computational steps. | include Math
E ** (PI * 1i) + 1
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Change the programming language of this snippet from Ruby to C without modifying what it does. | include Math
E ** (PI * 1i) + 1
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Change the following Ruby code into C# without altering its purpose. | include Math
E ** (PI * 1i) + 1
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Write the same algorithm in C# as shown in this Ruby implementation. | include Math
E ** (PI * 1i) + 1
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Write the same code in C++ as shown below in Ruby. | include Math
E ** (PI * 1i) + 1
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Convert this Ruby snippet to C++ and keep its semantics consistent. | include Math
E ** (PI * 1i) + 1
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Produce a language-to-language conversion: from Ruby to Java, same semantics. | include Math
E ** (PI * 1i) + 1
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Generate an equivalent Python version of this Ruby code. | include Math
E ** (PI * 1i) + 1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Change the programming language of this snippet from Ruby to Python without modifying what it does. | include Math
E ** (PI * 1i) + 1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Generate an equivalent Go version of this Ruby code. | include Math
E ** (PI * 1i) + 1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Please provide an equivalent version of this Ruby code in Go. | include Math
E ** (PI * 1i) + 1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Port the following code from Scala to C with equivalent syntax and logic. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Transform the following Scala implementation into C, maintaining the same output and logic. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Generate a C# translation of this Scala snippet without changing its computational steps. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Port the provided Scala code into C# while preserving the original functionality. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Translate this program into C++ but keep the logic exactly as in Scala. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Maintain the same structure and functionality when rewriting this code in C++. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Generate a Java translation of this Scala snippet without changing its computational steps. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Translate this program into Java but keep the logic exactly as in Scala. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Port the following code from Scala to Python with equivalent syntax and logic. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Write a version of this Scala function in Python with identical behavior. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Port the provided Scala code into Go while preserving the original functionality. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Change the following Scala code into Go without altering its purpose. |
import kotlin.math.sqrt
import kotlin.math.PI
const val EPSILON = 1.0e-16
const val SMALL_PI = '\u03c0'
const val APPROX_EQUALS = '\u2245'
class Complex(val real: Double, val imag: Double) {
operator fun plus(other: Complex) =
Complex(real + other.real, imag + other.imag)
operator fun times(other: Complex) = Complex(
real * other.real - imag * other.imag,
real * other.imag + imag * other.real
)
fun inv(): Complex {
val denom = real * real + imag * imag
return Complex(real / denom, -imag / denom)
}
operator fun unaryMinus() = Complex(-real, -imag)
operator fun minus(other: Complex) = this + (-other)
operator fun div(other: Complex) = this * other.inv()
val modulus: Double get() = sqrt(real * real + imag * imag)
override fun toString() =
if (imag >= 0.0) "$real + ${imag}i"
else "$real - ${-imag}i"
}
fun main(args: Array<String>) {
var fact = 1.0
val x = Complex(0.0, PI)
var e = Complex(1.0, PI)
var n = 2
var pow = x
do {
val e0 = e
fact *= n++
pow *= x
e += pow / Complex(fact, 0.0)
}
while ((e - e0).modulus >= EPSILON)
e += Complex(1.0, 0.0)
println("e^${SMALL_PI}i + 1 = $e $APPROX_EQUALS 0")
}
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Change the programming language of this snippet from Tcl to C without modifying what it does. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Convert this Tcl snippet to C and keep its semantics consistent. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
|
Produce a language-to-language conversion: from Tcl to C#, same semantics. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Ensure the translated C# code behaves exactly like the original Tcl snippet. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
|
Write the same algorithm in C++ as shown in this Tcl implementation. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Port the provided Tcl code into C++ while preserving the original functionality. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Translate the given Tcl code snippet into Java without altering its behavior. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Change the following Tcl code into Java without altering its purpose. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
|
Write a version of this Tcl function in Python with identical behavior. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Write a version of this Tcl function in Python with identical behavior. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Rewrite this program in Go while keeping its functionality equivalent to the Tcl version. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Write a version of this Tcl function in Go with identical behavior. |
namespace eval complex_ns {
package require math::complexnumbers
namespace import ::math::complexnumbers::*
set pi [expr {acos(-1)}]
set r [+ [exp [complex 0 $pi]] [complex 1 0]]
puts "e**(pi*i) = [real $r]+[imag $r]i"
}
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Transform the following C implementation into Rust, maintaining the same output and logic. | #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Write a version of this C++ function in Rust with identical behavior. | #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Convert the following code from C# to Rust, ensuring the logic remains intact. | using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Rewrite the snippet below in Rust so it works the same as the original Java code. | public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Can you help me rewrite this code in Rust instead of Java, keeping it the same logically? | public class EulerIdentity {
public static void main(String[] args) {
System.out.println("e ^ (i*Pi) + 1 = " + (new Complex(0, Math.PI).exp()).add(new Complex(1, 0)));
}
public static class Complex {
private double x, y;
public Complex(double re, double im) {
x = re;
y = im;
}
public Complex exp() {
double exp = Math.exp(x);
return new Complex(exp * Math.cos(y), exp * Math.sin(y));
}
public Complex add(Complex a) {
return new Complex(x + a.x, y + a.y);
}
@Override
public String toString() {
return x + " + " + y + "i";
}
}
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Write a version of this Go function in Rust with identical behavior. | package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Maintain the same structure and functionality when rewriting this code in Rust. | package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Translate this program into Python but keep the logic exactly as in Rust. | use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Convert this C snippet to Rust and keep its semantics consistent. | #include <stdio.h>
#include <math.h>
#include <complex.h>
#include <wchar.h>
#include <locale.h>
int main() {
wchar_t pi = L'\u03c0';
wchar_t ae = L'\u2245';
double complex e = cexp(M_PI * I) + 1.0;
setlocale(LC_CTYPE, "");
printf("e ^ %lci + 1 = [%.16f, %.16f] %lc 0\n", pi, creal(e), cimag(e), ae);
return 0;
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Produce a functionally identical Rust code for the snippet given in C#. | using System;
using System.Numerics;
public class Program
{
static void Main() {
Complex e = Math.E;
Complex i = Complex.ImaginaryOne;
Complex π = Math.PI;
Console.WriteLine(Complex.Pow(e, i * π) + 1);
}
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Convert this Rust block to Python, preserving its control flow and logic. | use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Port the following code from C++ to Rust with equivalent syntax and logic. | #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
| use std::f64::consts::PI;
extern crate num_complex;
use num_complex::Complex;
fn main() {
println!("{:e}", Complex::new(0.0, PI).exp() + 1.0);
}
|
Port the following code from Ada to C# with equivalent syntax and logic. | with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;
procedure Arith_Geom_Mean is
type Num is digits 18;
package N_IO is new Ada.Text_IO.Float_IO(Num);
package Math is new Ada.Numerics.Generic_Elementary_Functions(Num);
function AGM(A, G: Num) return Num is
Old_G: Num;
New_G: Num := G;
New_A: Num := A;
begin
loop
Old_G := New_G;
New_G := Math.Sqrt(New_A*New_G);
New_A := (Old_G + New_A) * 0.5;
exit when (New_A - New_G) <= Num'Epsilon;
end loop;
return New_G;
end AGM;
begin
N_IO.Put(AGM(1.0, 1.0/Math.Sqrt(2.0)), Fore => 1, Aft => 17, Exp => 0);
end Arith_Geom_Mean;
| namespace RosettaCode.ArithmeticGeometricMean
{
using System;
using System.Collections.Generic;
using System.Globalization;
internal static class Program
{
private static double ArithmeticGeometricMean(double number,
double otherNumber,
IEqualityComparer<double>
comparer)
{
return comparer.Equals(number, otherNumber)
? number
: ArithmeticGeometricMean(
ArithmeticMean(number, otherNumber),
GeometricMean(number, otherNumber), comparer);
}
private static double ArithmeticMean(double number, double otherNumber)
{
return 0.5 * (number + otherNumber);
}
private static double GeometricMean(double number, double otherNumber)
{
return Math.Sqrt(number * otherNumber);
}
private static void Main()
{
Console.WriteLine(
ArithmeticGeometricMean(1, 0.5 * Math.Sqrt(2),
new RelativeDifferenceComparer(1e-5)).
ToString(CultureInfo.InvariantCulture));
}
private class RelativeDifferenceComparer : IEqualityComparer<double>
{
private readonly double _maximumRelativeDifference;
internal RelativeDifferenceComparer(double maximumRelativeDifference)
{
_maximumRelativeDifference = maximumRelativeDifference;
}
public bool Equals(double number, double otherNumber)
{
return RelativeDifference(number, otherNumber) <=
_maximumRelativeDifference;
}
public int GetHashCode(double number)
{
return number.GetHashCode();
}
private static double RelativeDifference(double number,
double otherNumber)
{
return AbsoluteDifference(number, otherNumber) /
Norm(number, otherNumber);
}
private static double AbsoluteDifference(double number,
double otherNumber)
{
return Math.Abs(number - otherNumber);
}
private static double Norm(double number, double otherNumber)
{
return 0.5 * (Math.Abs(number) + Math.Abs(otherNumber));
}
}
}
}
|
Ensure the translated C# code behaves exactly like the original Ada snippet. | with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;
procedure Arith_Geom_Mean is
type Num is digits 18;
package N_IO is new Ada.Text_IO.Float_IO(Num);
package Math is new Ada.Numerics.Generic_Elementary_Functions(Num);
function AGM(A, G: Num) return Num is
Old_G: Num;
New_G: Num := G;
New_A: Num := A;
begin
loop
Old_G := New_G;
New_G := Math.Sqrt(New_A*New_G);
New_A := (Old_G + New_A) * 0.5;
exit when (New_A - New_G) <= Num'Epsilon;
end loop;
return New_G;
end AGM;
begin
N_IO.Put(AGM(1.0, 1.0/Math.Sqrt(2.0)), Fore => 1, Aft => 17, Exp => 0);
end Arith_Geom_Mean;
| namespace RosettaCode.ArithmeticGeometricMean
{
using System;
using System.Collections.Generic;
using System.Globalization;
internal static class Program
{
private static double ArithmeticGeometricMean(double number,
double otherNumber,
IEqualityComparer<double>
comparer)
{
return comparer.Equals(number, otherNumber)
? number
: ArithmeticGeometricMean(
ArithmeticMean(number, otherNumber),
GeometricMean(number, otherNumber), comparer);
}
private static double ArithmeticMean(double number, double otherNumber)
{
return 0.5 * (number + otherNumber);
}
private static double GeometricMean(double number, double otherNumber)
{
return Math.Sqrt(number * otherNumber);
}
private static void Main()
{
Console.WriteLine(
ArithmeticGeometricMean(1, 0.5 * Math.Sqrt(2),
new RelativeDifferenceComparer(1e-5)).
ToString(CultureInfo.InvariantCulture));
}
private class RelativeDifferenceComparer : IEqualityComparer<double>
{
private readonly double _maximumRelativeDifference;
internal RelativeDifferenceComparer(double maximumRelativeDifference)
{
_maximumRelativeDifference = maximumRelativeDifference;
}
public bool Equals(double number, double otherNumber)
{
return RelativeDifference(number, otherNumber) <=
_maximumRelativeDifference;
}
public int GetHashCode(double number)
{
return number.GetHashCode();
}
private static double RelativeDifference(double number,
double otherNumber)
{
return AbsoluteDifference(number, otherNumber) /
Norm(number, otherNumber);
}
private static double AbsoluteDifference(double number,
double otherNumber)
{
return Math.Abs(number - otherNumber);
}
private static double Norm(double number, double otherNumber)
{
return 0.5 * (Math.Abs(number) + Math.Abs(otherNumber));
}
}
}
}
|
Convert this Ada block to C, preserving its control flow and logic. | with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;
procedure Arith_Geom_Mean is
type Num is digits 18;
package N_IO is new Ada.Text_IO.Float_IO(Num);
package Math is new Ada.Numerics.Generic_Elementary_Functions(Num);
function AGM(A, G: Num) return Num is
Old_G: Num;
New_G: Num := G;
New_A: Num := A;
begin
loop
Old_G := New_G;
New_G := Math.Sqrt(New_A*New_G);
New_A := (Old_G + New_A) * 0.5;
exit when (New_A - New_G) <= Num'Epsilon;
end loop;
return New_G;
end AGM;
begin
N_IO.Put(AGM(1.0, 1.0/Math.Sqrt(2.0)), Fore => 1, Aft => 17, Exp => 0);
end Arith_Geom_Mean;
| #include<math.h>
#include<stdio.h>
#include<stdlib.h>
double agm( double a, double g ) {
double iota = 1.0E-16;
double a1, g1;
if( a*g < 0.0 ) {
printf( "arithmetic-geometric mean undefined when x*y<0\n" );
exit(1);
}
while( fabs(a-g)>iota ) {
a1 = (a + g) / 2.0;
g1 = sqrt(a * g);
a = a1;
g = g1;
}
return a;
}
int main( void ) {
double x, y;
printf( "Enter two numbers: " );
scanf( "%lf%lf", &x, &y );
printf( "The arithmetic-geometric mean is %lf\n", agm(x, y) );
return 0;
}
|
Convert this Ada block to C, preserving its control flow and logic. | with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;
procedure Arith_Geom_Mean is
type Num is digits 18;
package N_IO is new Ada.Text_IO.Float_IO(Num);
package Math is new Ada.Numerics.Generic_Elementary_Functions(Num);
function AGM(A, G: Num) return Num is
Old_G: Num;
New_G: Num := G;
New_A: Num := A;
begin
loop
Old_G := New_G;
New_G := Math.Sqrt(New_A*New_G);
New_A := (Old_G + New_A) * 0.5;
exit when (New_A - New_G) <= Num'Epsilon;
end loop;
return New_G;
end AGM;
begin
N_IO.Put(AGM(1.0, 1.0/Math.Sqrt(2.0)), Fore => 1, Aft => 17, Exp => 0);
end Arith_Geom_Mean;
| #include<math.h>
#include<stdio.h>
#include<stdlib.h>
double agm( double a, double g ) {
double iota = 1.0E-16;
double a1, g1;
if( a*g < 0.0 ) {
printf( "arithmetic-geometric mean undefined when x*y<0\n" );
exit(1);
}
while( fabs(a-g)>iota ) {
a1 = (a + g) / 2.0;
g1 = sqrt(a * g);
a = a1;
g = g1;
}
return a;
}
int main( void ) {
double x, y;
printf( "Enter two numbers: " );
scanf( "%lf%lf", &x, &y );
printf( "The arithmetic-geometric mean is %lf\n", agm(x, y) );
return 0;
}
|
Write a version of this Ada function in C++ with identical behavior. | with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;
procedure Arith_Geom_Mean is
type Num is digits 18;
package N_IO is new Ada.Text_IO.Float_IO(Num);
package Math is new Ada.Numerics.Generic_Elementary_Functions(Num);
function AGM(A, G: Num) return Num is
Old_G: Num;
New_G: Num := G;
New_A: Num := A;
begin
loop
Old_G := New_G;
New_G := Math.Sqrt(New_A*New_G);
New_A := (Old_G + New_A) * 0.5;
exit when (New_A - New_G) <= Num'Epsilon;
end loop;
return New_G;
end AGM;
begin
N_IO.Put(AGM(1.0, 1.0/Math.Sqrt(2.0)), Fore => 1, Aft => 17, Exp => 0);
end Arith_Geom_Mean;
|
#include "gmp.h"
void agm (const mpf_t in1, const mpf_t in2, mpf_t out1, mpf_t out2) {
mpf_add (out1, in1, in2);
mpf_div_ui (out1, out1, 2);
mpf_mul (out2, in1, in2);
mpf_sqrt (out2, out2);
}
int main (void) {
mpf_set_default_prec (65568);
mpf_t x0, y0, resA, resB;
mpf_init_set_ui (y0, 1);
mpf_init_set_d (x0, 0.5);
mpf_sqrt (x0, x0);
mpf_init (resA);
mpf_init (resB);
for(int i=0; i<7; i++){
agm(x0, y0, resA, resB);
agm(resA, resB, x0, y0);
}
gmp_printf ("%.20000Ff\n", x0);
gmp_printf ("%.20000Ff\n\n", y0);
return 0;
}
|
Transform the following Ada implementation into C++, maintaining the same output and logic. | with Ada.Text_IO, Ada.Numerics.Generic_Elementary_Functions;
procedure Arith_Geom_Mean is
type Num is digits 18;
package N_IO is new Ada.Text_IO.Float_IO(Num);
package Math is new Ada.Numerics.Generic_Elementary_Functions(Num);
function AGM(A, G: Num) return Num is
Old_G: Num;
New_G: Num := G;
New_A: Num := A;
begin
loop
Old_G := New_G;
New_G := Math.Sqrt(New_A*New_G);
New_A := (Old_G + New_A) * 0.5;
exit when (New_A - New_G) <= Num'Epsilon;
end loop;
return New_G;
end AGM;
begin
N_IO.Put(AGM(1.0, 1.0/Math.Sqrt(2.0)), Fore => 1, Aft => 17, Exp => 0);
end Arith_Geom_Mean;
|
#include "gmp.h"
void agm (const mpf_t in1, const mpf_t in2, mpf_t out1, mpf_t out2) {
mpf_add (out1, in1, in2);
mpf_div_ui (out1, out1, 2);
mpf_mul (out2, in1, in2);
mpf_sqrt (out2, out2);
}
int main (void) {
mpf_set_default_prec (65568);
mpf_t x0, y0, resA, resB;
mpf_init_set_ui (y0, 1);
mpf_init_set_d (x0, 0.5);
mpf_sqrt (x0, x0);
mpf_init (resA);
mpf_init (resB);
for(int i=0; i<7; i++){
agm(x0, y0, resA, resB);
agm(resA, resB, x0, y0);
}
gmp_printf ("%.20000Ff\n", x0);
gmp_printf ("%.20000Ff\n\n", y0);
return 0;
}
|
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