Instruction stringlengths 45 106 | input_code stringlengths 1 13.7k | output_code stringlengths 1 13.7k |
|---|---|---|
Port the following code from Fortran to Java with equivalent syntax and logic. | program euler
use iso_fortran_env, only: output_unit, REAL64
implicit none
integer, parameter :: d=REAL64
real(kind=d), parameter :: e=exp(1._d), pi=4._d*atan(1._d)
complex(kind=d), parameter :: i=(0._d,1._d)
write(output_unit,*) e**(pi*i) + 1
end program euler
| 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 the same code in Python as shown below in Fortran. | program euler
use iso_fortran_env, only: output_unit, REAL64
implicit none
integer, parameter :: d=REAL64
real(kind=d), parameter :: e=exp(1._d), pi=4._d*atan(1._d)
complex(kind=d), parameter :: i=(0._d,1._d)
write(output_unit,*) e**(pi*i) + 1
end program euler
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Generate a Python translation of this Fortran snippet without changing its computational steps. | program euler
use iso_fortran_env, only: output_unit, REAL64
implicit none
integer, parameter :: d=REAL64
real(kind=d), parameter :: e=exp(1._d), pi=4._d*atan(1._d)
complex(kind=d), parameter :: i=(0._d,1._d)
write(output_unit,*) e**(pi*i) + 1
end program euler
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Please provide an equivalent version of this Groovy code in C. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| #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;
}
|
Translate this program into C but keep the logic exactly as in Groovy. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| #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 Groovy to C# without modifying what it does. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| 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 the snippet below in C# so it works the same as the original Groovy code. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| 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 Groovy version. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| #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 C++ translation of this Groovy snippet without changing its computational steps. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Rewrite this program in Java while keeping its functionality equivalent to the Groovy version. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| 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 the same algorithm in Java as shown in this Groovy implementation. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| 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 provided Groovy code into Python while preserving the original functionality. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Maintain the same structure and functionality when rewriting this code in Python. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Write the same code in Go as shown below in Groovy. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Generate a Go translation of this Groovy snippet without changing its computational steps. | import static Complex.*
Number.metaClass.mixin ComplexCategory
def π = Math.PI
def e = Math.E
println "e ** (π * i) + 1 = " + (e ** (π * i) + 1)
println "| e ** (π * i) + 1 | = " + (e ** (π * i) + 1).ρ
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Generate an equivalent C version of this Haskell code. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| #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 Haskell snippet to C and keep its semantics consistent. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| #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 Haskell implementation. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| 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);
}
}
|
Convert this Haskell block to C#, preserving its control flow and logic. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| 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 Haskell to C++. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| #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 Haskell function in C++ with identical behavior. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| #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 Haskell code into Java while preserving the original functionality. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| 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 Haskell. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| 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 Python while keeping its functionality equivalent to the Haskell version. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Rewrite the snippet below in Python so it works the same as the original Haskell code. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Produce a language-to-language conversion: from Haskell to Go, same semantics. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| 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. | import Data.Complex
eulerIdentityZeroIsh :: Complex Double
eulerIdentityZeroIsh =
exp (0 :+ pi) + 1
main :: IO ()
main = print eulerIdentityZeroIsh
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Port the provided J code into C while preserving the original functionality. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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 J to C without modifying what it does. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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;
}
|
Preserve the algorithm and functionality while converting the code from J to C#. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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);
}
}
|
Convert this J block to C#, preserving its control flow and logic. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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);
}
}
|
Maintain the same structure and functionality when rewriting this code in C++. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
1
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Can you help me rewrite this code in C++ instead of J, keeping it the same logically? |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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 provided J code into Java while preserving the original functionality. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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";
}
}
}
|
Change the programming language of this snippet from J to Java without modifying what it does. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
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";
}
}
}
|
Port the provided J code into Python while preserving the original functionality. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Change the programming language of this snippet from J to Python without modifying what it does. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Transform the following J implementation into Go, maintaining the same output and logic. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Rewrite this program in Go while keeping its functionality equivalent to the J version. |
1 + ^ 0j1p1
0j1.22465e_16
_1 (=!.1e_15) ^ 0j1p1
1
TAU =: 2p1
1 (=!.1e_15) ^ j. TAU
1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Translate this program into C but keep the logic exactly as in Julia. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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 Julia to C, same semantics. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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 the same code in C# as shown below in Julia. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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);
}
}
|
Generate a C# translation of this Julia snippet without changing its computational steps. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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);
}
}
|
Generate an equivalent C++ version of this Julia code. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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 the following code from Julia to C++, ensuring the logic remains intact. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -1
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Rewrite this program in Java while keeping its functionality equivalent to the Julia version. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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";
}
}
}
|
Change the following Julia code into Java without altering its purpose. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -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 Julia. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Ensure the translated Python code behaves exactly like the original Julia snippet. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Change the programming language of this snippet from Julia to Go without modifying what it does. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Convert the following code from Julia to Go, ensuring the logic remains intact. | @show ℯ^(π * im) + 1
@assert ℯ^(π * im) ≈ -1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Rewrite this program in C while keeping its functionality equivalent to the Lua version. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.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;
}
|
Translate this program into C but keep the logic exactly as in Lua. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.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;
}
|
Rewrite the snippet below in C# so it works the same as the original Lua code. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.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);
}
}
|
Change the following Lua code into C# without altering its purpose. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.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);
}
}
|
Can you help me rewrite this code in C++ instead of Lua, keeping it the same logically? | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.i))
| #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 Lua snippet to C++ and keep its semantics consistent. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.i))
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Can you help me rewrite this code in Java instead of Lua, keeping it the same logically? | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.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";
}
}
}
|
Keep all operations the same but rewrite the snippet in Java. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.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";
}
}
}
|
Convert this Lua snippet to Python and keep its semantics consistent. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.i))
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Rewrite this program in Python while keeping its functionality equivalent to the Lua version. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.i))
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Convert this Lua snippet to Go and keep its semantics consistent. | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.i))
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Can you help me rewrite this code in Go instead of Lua, keeping it the same logically? | local c = {
new = function(s,r,i) s.__index=s return setmetatable({r=r, i=i}, s) end,
add = function(s,o) return s:new(s.r+o.r, s.i+o.i) end,
exp = function(s) local e=math.exp(s.r) return s:new(e*math.cos(s.i), e*math.sin(s.i)) end,
mul = function(s,o) return s:new(s.r*o.r+s.i*o.i, s.r*o.i+s.i*o.r) end
}
local i = c:new(0, 1)
local pi = c:new(math.pi, 0)
local one = c:new(1, 0)
local zero = i:mul(pi):exp():add(one)
print(string.format("e^(i*pi)+1 is approximately zero: %.18g%+.18gi", zero.r, zero.i))
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Transform the following Mathematica implementation into C, maintaining the same output and logic. | E^(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;
}
|
Rewrite the snippet below in C so it works the same as the original Mathematica code. | E^(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;
}
|
Convert this Mathematica snippet to C# and keep its semantics consistent. | E^(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 algorithm in C# as shown in this Mathematica implementation. | E^(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);
}
}
|
Generate a C++ translation of this Mathematica snippet without changing its computational steps. | E^(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;
}
|
Translate the given Mathematica code snippet into C++ without altering its behavior. | E^(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 Mathematica function in Java with identical behavior. | E^(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 the given Mathematica code snippet into Java without altering its behavior. | E^(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";
}
}
}
|
Produce a language-to-language conversion: from Mathematica to Python, same semantics. | E^(I Pi) + 1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Produce a functionally identical Python code for the snippet given in Mathematica. | E^(I Pi) + 1
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Can you help me rewrite this code in Go instead of Mathematica, keeping it the same logically? | E^(I Pi) + 1
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Generate a Go translation of this Mathematica snippet without changing its computational steps. | E^(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 Nim. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 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;
}
|
Write a version of this Nim function in C with identical behavior. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 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;
}
|
Can you help me rewrite this code in C# instead of Nim, keeping it the same logically? | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 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);
}
}
|
Transform the following Nim implementation into C#, maintaining the same output and logic. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 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);
}
}
|
Write a version of this Nim function in C++ with identical behavior. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 0"
| #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 Nim function in C++ with identical behavior. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 0"
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Transform the following Nim implementation into Java, maintaining the same output and logic. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 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";
}
}
}
|
Write the same algorithm in Java as shown in this Nim implementation. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 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";
}
}
}
|
Convert the following code from Nim to Python, ensuring the logic remains intact. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 0"
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Generate an equivalent Python version of this Nim code. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 0"
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Please provide an equivalent version of this Nim code in Go. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 0"
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Preserve the algorithm and functionality while converting the code from Nim to Go. | import math, complex
echo "exp(iπ) + 1 = ", exp(complex(0.0, PI)) + 1, " ~= 0"
| 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 C. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| #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;
}
|
Translate this program into C but keep the logic exactly as in OCaml. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| #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 OCaml implementation into C#, maintaining the same output and logic. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| 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);
}
}
|
Generate a C# translation of this OCaml snippet without changing its computational steps. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| 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 the given OCaml code snippet into C++ without altering its behavior. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Change the following OCaml code into C++ without altering its purpose. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| #include <iostream>
#include <complex>
int main() {
std::cout << std::exp(std::complex<double>(0.0, M_PI)) + 1.0 << std::endl;
return 0;
}
|
Keep all operations the same but rewrite the snippet in Java. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| 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";
}
}
}
|
Transform the following OCaml implementation into Java, maintaining the same output and logic. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| 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";
}
}
}
|
Convert the following code from OCaml to Python, ensuring the logic remains intact. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Please provide an equivalent version of this OCaml code in Python. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| >>> import math
>>> math.e ** (math.pi * 1j) + 1
1.2246467991473532e-16j
|
Translate this program into Go but keep the logic exactly as in OCaml. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Convert this OCaml snippet to Go and keep its semantics consistent. | # open Complex;;
# let pi = acos (-1.0);;
val pi : float = 3.14159265358979312
# add (exp { re = 0.0; im = pi }) { re = 1.0; im = 0.0 };;
- : Complex.t = {re = 0.; im = 1.22464679914735321e-16}
| package main
import (
"fmt"
"math"
"math/cmplx"
)
func main() {
fmt.Println(cmplx.Exp(math.Pi * 1i) + 1.0)
}
|
Generate an equivalent C version of this Perl code. | 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;
}
|
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