Instruction stringlengths 45 106 | input_code stringlengths 1 13.7k | output_code stringlengths 1 13.7k |
|---|---|---|
Produce a functionally identical Java code for the snippet given in Erlang. | choose(N, 0) -> 1;
choose(N, K) when is_integer(N), is_integer(K), (N >= 0), (K >= 0), (N >= K) ->
choose(N, K, 1, 1).
choose(N, K, K, Acc) ->
(Acc * (N-K+1)) div K;
choose(N, K, I, Acc) ->
choose(N, K, I+1, (Acc * (N-I+1)) div I).
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Write the same code in Python as shown below in Erlang. | choose(N, 0) -> 1;
choose(N, K) when is_integer(N), is_integer(K), (N >= 0), (K >= 0), (N >= K) ->
choose(N, K, 1, 1).
choose(N, K, K, Acc) ->
(Acc * (N-K+1)) div K;
choose(N, K, I, Acc) ->
choose(N, K, I+1, (Acc * (N-I+1)) div I).
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Change the following Erlang code into VB without altering its purpose. | choose(N, 0) -> 1;
choose(N, K) when is_integer(N), is_integer(K), (N >= 0), (K >= 0), (N >= K) ->
choose(N, K, 1, 1).
choose(N, K, K, Acc) ->
(Acc * (N-K+1)) div K;
choose(N, K, I, Acc) ->
choose(N, K, I+1, (Acc * (N-I+1)) div I).
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Change the programming language of this snippet from Erlang to Go without modifying what it does. | choose(N, 0) -> 1;
choose(N, K) when is_integer(N), is_integer(K), (N >= 0), (K >= 0), (N >= K) ->
choose(N, K, 1, 1).
choose(N, K, K, Acc) ->
(Acc * (N-K+1)) div K;
choose(N, K, I, Acc) ->
choose(N, K, I+1, (Acc * (N-I+1)) div I).
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Generate an equivalent C version of this F# code. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Port the provided F# code into C# while preserving the original functionality. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Preserve the algorithm and functionality while converting the code from F# to C++. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Preserve the algorithm and functionality while converting the code from F# to Java. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Preserve the algorithm and functionality while converting the code from F# to Python. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Generate a VB translation of this F# snippet without changing its computational steps. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Generate a Go translation of this F# snippet without changing its computational steps. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Please provide an equivalent version of this Factor code in C. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Rewrite this program in C# while keeping its functionality equivalent to the Factor version. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Translate this program into C++ but keep the logic exactly as in Factor. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Write the same code in Java as shown below in Factor. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Maintain the same structure and functionality when rewriting this code in Python. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Port the following code from Factor to VB with equivalent syntax and logic. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Translate the given Factor code snippet into Go without altering its behavior. | : fact ( n -- n-factorial )
dup 0 = [ drop 1 ] [ dup 1 - fact * ] if ;
: choose ( n k -- n-choose-k )
2dup - [ fact ] tri@ * / ;
5 3 choose .
USE: math.ranges
: choose-fold ( n k -- n-choose-k )
2dup 1 + [a,b] product -rot - 1 [a,b] product / ;
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Change the following Forth code into C without altering its purpose. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Write the same algorithm in C# as shown in this Forth implementation. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Please provide an equivalent version of this Forth code in C++. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Translate the given Forth code snippet into Java without altering its behavior. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Convert this Forth snippet to Python and keep its semantics consistent. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Preserve the algorithm and functionality while converting the code from Forth to VB. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Write the same algorithm in Go as shown in this Forth implementation. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 choose .
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Write the same code in C# as shown below in Fortran. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Write a version of this Fortran function in C++ with identical behavior. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Write the same code in C as shown below in Fortran. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Port the provided Fortran code into Go while preserving the original functionality. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Generate a Java translation of this Fortran snippet without changing its computational steps. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Ensure the translated Python code behaves exactly like the original Fortran snippet. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Ensure the translated VB code behaves exactly like the original Fortran snippet. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Translate this program into PHP but keep the logic exactly as in Fortran. | program test_choose
implicit none
write (*, '(i0)') choose (5, 3)
contains
function factorial (n) result (res)
implicit none
integer, intent (in) :: n
integer :: res
integer :: i
res = product ((/(i, i = 1, n)/))
end function factorial
function choose (n, k) result (res)
implicit none
integer, intent (in) :: n
integer, intent (in) :: k
integer :: res
res = factorial (n) / (factorial (k) * factorial (n - k))
end function choose
end program test_choose
| <?php
$n=5;
$k=3;
function factorial($val){
for($f=2;$val-1>1;$f*=$val--);
return $f;
}
$binomial_coefficient=factorial($n)/(factorial($k)*factorial($n-$k));
echo $binomial_coefficient;
?>
|
Change the programming language of this snippet from Groovy to C without modifying what it does. | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Translate the given Groovy code snippet into C# without altering its behavior. | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Can you help me rewrite this code in C++ instead of Groovy, keeping it the same logically? | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Maintain the same structure and functionality when rewriting this code in Java. | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Preserve the algorithm and functionality while converting the code from Groovy to Python. | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Write a version of this Groovy function in VB with identical behavior. | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Can you help me rewrite this code in Go instead of Groovy, keeping it the same logically? | def factorial = { x ->
assert x > -1
x == 0 ? 1 : (1..x).inject(1G) { BigInteger product, BigInteger factor -> product *= factor }
}
def combinations = { n, k ->
assert k >= 0
assert n >= k
factorial(n).intdiv(factorial(k)*factorial(n-k))
}
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Write the same algorithm in C as shown in this Haskell implementation. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Port the following code from Haskell to C# with equivalent syntax and logic. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Write the same code in C++ as shown below in Haskell. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Write a version of this Haskell function in Java with identical behavior. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Rewrite this program in Python while keeping its functionality equivalent to the Haskell version. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Ensure the translated VB code behaves exactly like the original Haskell snippet. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Preserve the algorithm and functionality while converting the code from Haskell to Go. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Transform the following Icon implementation into C, maintaining the same output and logic. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Translate this program into C# but keep the logic exactly as in Icon. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Maintain the same structure and functionality when rewriting this code in C++. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Change the programming language of this snippet from Icon to Java without modifying what it does. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Generate an equivalent Python version of this Icon code. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Translate this program into VB but keep the logic exactly as in Icon. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Generate a Go translation of this Icon snippet without changing its computational steps. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Write the same code in C as shown below in J. | 3 ! 5
10
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Transform the following J implementation into C#, maintaining the same output and logic. | 3 ! 5
10
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Produce a language-to-language conversion: from J to C++, same semantics. | 3 ! 5
10
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Write the same algorithm in Java as shown in this J implementation. | 3 ! 5
10
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Can you help me rewrite this code in Python instead of J, keeping it the same logically? | 3 ! 5
10
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Convert this J snippet to VB and keep its semantics consistent. | 3 ! 5
10
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Port the provided J code into Go while preserving the original functionality. | 3 ! 5
10
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Convert the following code from Julia to C, ensuring the logic remains intact. | @show binomial(5, 3)
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Can you help me rewrite this code in C# instead of Julia, keeping it the same logically? | @show binomial(5, 3)
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Preserve the algorithm and functionality while converting the code from Julia to C++. | @show binomial(5, 3)
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Ensure the translated Java code behaves exactly like the original Julia snippet. | @show binomial(5, 3)
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Rewrite the snippet below in Python so it works the same as the original Julia code. | @show binomial(5, 3)
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Port the following code from Julia to VB with equivalent syntax and logic. | @show binomial(5, 3)
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Translate this program into Go but keep the logic exactly as in Julia. | @show binomial(5, 3)
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Write a version of this Lua function in C with identical behavior. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Produce a language-to-language conversion: from Lua to C#, same semantics. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Ensure the translated C++ code behaves exactly like the original Lua snippet. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Maintain the same structure and functionality when rewriting this code in Java. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Port the following code from Lua to Python with equivalent syntax and logic. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Translate this program into VB but keep the logic exactly as in Lua. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Change the following Lua code into Go without altering its purpose. | function Binomial( n, k )
if k > n then return nil end
if k > n/2 then k = n - k end
numer, denom = 1, 1
for i = 1, k do
numer = numer * ( n - i + 1 )
denom = denom * i
end
return numer / denom
end
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Can you help me rewrite this code in C instead of Mathematica, keeping it the same logically? | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Convert this Mathematica block to C#, preserving its control flow and logic. | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Generate a C++ translation of this Mathematica snippet without changing its computational steps. | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Change the following Mathematica code into Java without altering its purpose. | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Can you help me rewrite this code in Python instead of Mathematica, keeping it the same logically? | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Can you help me rewrite this code in VB instead of Mathematica, keeping it the same logically? | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Generate an equivalent Go version of this Mathematica code. | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Write the same code in C as shown below in MATLAB. | >> nchoosek(5,3)
ans =
10
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Translate this program into C# but keep the logic exactly as in MATLAB. | >> nchoosek(5,3)
ans =
10
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Write the same code in C++ as shown below in MATLAB. | >> nchoosek(5,3)
ans =
10
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Produce a language-to-language conversion: from MATLAB to Java, same semantics. | >> nchoosek(5,3)
ans =
10
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Keep all operations the same but rewrite the snippet in Python. | >> nchoosek(5,3)
ans =
10
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Produce a language-to-language conversion: from MATLAB to VB, same semantics. | >> nchoosek(5,3)
ans =
10
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Produce a functionally identical Go code for the snippet given in MATLAB. | >> nchoosek(5,3)
ans =
10
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Write the same algorithm in C as shown in this Nim implementation. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Produce a functionally identical C# code for the snippet given in Nim. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Port the provided Nim code into C++ while preserving the original functionality. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Preserve the algorithm and functionality while converting the code from Nim to Java. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Please provide an equivalent version of this Nim code in Python. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Change the following Nim code into VB without altering its purpose. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Convert this Nim block to Go, preserving its control flow and logic. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Rewrite this program in C while keeping its functionality equivalent to the OCaml version. | let binomialCoeff n p =
let p = if p < n -. p then p else n -. p in
let rec cm res num denum =
if denum <= p then cm ((res *. num) /. denum) (num -. 1.) (denum +. 1.)
else res in
cm 1. n 1.
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Write the same algorithm in C# as shown in this OCaml implementation. | let binomialCoeff n p =
let p = if p < n -. p then p else n -. p in
let rec cm res num denum =
if denum <= p then cm ((res *. num) /. denum) (num -. 1.) (denum +. 1.)
else res in
cm 1. n 1.
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Can you help me rewrite this code in C++ instead of OCaml, keeping it the same logically? | let binomialCoeff n p =
let p = if p < n -. p then p else n -. p in
let rec cm res num denum =
if denum <= p then cm ((res *. num) /. denum) (num -. 1.) (denum +. 1.)
else res in
cm 1. n 1.
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Generate a Java translation of this OCaml snippet without changing its computational steps. | let binomialCoeff n p =
let p = if p < n -. p then p else n -. p in
let rec cm res num denum =
if denum <= p then cm ((res *. num) /. denum) (num -. 1.) (denum +. 1.)
else res in
cm 1. n 1.
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
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