Instruction stringlengths 45 106 | input_code stringlengths 1 13.7k | output_code stringlengths 1 13.7k |
|---|---|---|
Write the same code in Python as shown below in OCaml. | 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.
| 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 OCaml to VB, same semantics. | 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.
| 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 OCaml code snippet into Go without altering its behavior. | 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.
| 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))
}
|
Translate the given Perl code snippet into C without altering its behavior. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Convert the following code from Perl to C#, ensuring the logic remains intact. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Can you help me rewrite this code in C++ instead of Perl, keeping it the same logically? | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Convert this Perl block to Java, preserving its control flow and logic. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Change the programming language of this snippet from Perl to Python without modifying what it does. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Write the same algorithm in VB as shown in this Perl implementation. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Preserve the algorithm and functionality while converting the code from Perl to Go. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| package main
import "fmt"
import "math/big"
func main() {
fmt.Println(new(big.Int).Binomial(5, 3))
fmt.Println(new(big.Int).Binomial(60, 30))
}
|
Produce a functionally identical C code for the snippet given in PowerShell. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| #include <stdio.h>
#include <limits.h>
static unsigned long gcd_ui(unsigned long x, unsigned long y) {
unsigned long t;
if (y < x) { t = x; x = y; y = t; }
while (y > 0) {
t = y; y = x % y; x = t;
}
return x;
}
unsigned long binomial(unsigned long n, unsigned long k) {
unsigned long d, g, r = 1;
if (k == 0) return 1;
if (k == 1) return n;
if (k >= n) return (k == n);
if (k > n/2) k = n-k;
for (d = 1; d <= k; d++) {
if (r >= ULONG_MAX/n) {
unsigned long nr, dr;
g = gcd_ui(n, d); nr = n/g; dr = d/g;
g = gcd_ui(r, dr); r = r/g; dr = dr/g;
if (r >= ULONG_MAX/nr) return 0;
r *= nr;
r /= dr;
n--;
} else {
r *= n--;
r /= d;
}
}
return r;
}
int main() {
printf("%lu\n", binomial(5, 3));
printf("%lu\n", binomial(40, 19));
printf("%lu\n", binomial(67, 31));
return 0;
}
|
Write the same code in C# as shown below in PowerShell. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| using System;
namespace BinomialCoefficients
{
class Program
{
static void Main(string[] args)
{
ulong n = 1000000, k = 3;
ulong result = biCoefficient(n, k);
Console.WriteLine("The Binomial Coefficient of {0}, and {1}, is equal to: {2}", n, k, result);
Console.ReadLine();
}
static int fact(int n)
{
if (n == 0) return 1;
else return n * fact(n - 1);
}
static ulong biCoefficient(ulong n, ulong k)
{
if (k > n - k)
{
k = n - k;
}
ulong c = 1;
for (uint i = 0; i < k; i++)
{
c = c * (n - i);
c = c / (i + 1);
}
return c;
}
}
}
|
Produce a functionally identical C++ code for the snippet given in PowerShell. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| double Factorial(double nValue)
{
double result = nValue;
double result_next;
double pc = nValue;
do
{
result_next = result*(pc-1);
result = result_next;
pc--;
}while(pc>2);
nValue = result;
return nValue;
}
double binomialCoefficient(double n, double k)
{
if (abs(n - k) < 1e-7 || k < 1e-7) return 1.0;
if( abs(k-1.0) < 1e-7 || abs(k - (n-1)) < 1e-7)return n;
return Factorial(n) /(Factorial(k)*Factorial((n - k)));
}
|
Produce a functionally identical Java code for the snippet given in PowerShell. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| public class Binomial {
private static long binomialInt(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static Object binomialIntReliable(int n, int k) {
if (k > n - k)
k = n - k;
long binom = 1;
for (int i = 1; i <= k; i++) {
try {
binom = Math.multiplyExact(binom, n + 1 - i) / i;
} catch (ArithmeticException e) {
return "overflow";
}
}
return binom;
}
private static double binomialFloat(int n, int k) {
if (k > n - k)
k = n - k;
double binom = 1.0;
for (int i = 1; i <= k; i++)
binom = binom * (n + 1 - i) / i;
return binom;
}
private static BigInteger binomialBigInt(int n, int k) {
if (k > n - k)
k = n - k;
BigInteger binom = BigInteger.ONE;
for (int i = 1; i <= k; i++) {
binom = binom.multiply(BigInteger.valueOf(n + 1 - i));
binom = binom.divide(BigInteger.valueOf(i));
}
return binom;
}
private static void demo(int n, int k) {
List<Object> data = Arrays.asList(
n,
k,
binomialInt(n, k),
binomialIntReliable(n, k),
binomialFloat(n, k),
binomialBigInt(n, k));
System.out.println(data.stream().map(Object::toString).collect(Collectors.joining("\t")));
}
public static void main(String[] args) {
demo(5, 3);
demo(1000, 300);
}
}
|
Produce a functionally identical Python code for the snippet given in PowerShell. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| def binomialCoeff(n, k):
result = 1
for i in range(1, k+1):
result = result * (n-i+1) / i
return result
if __name__ == "__main__":
print(binomialCoeff(5, 3))
|
Preserve the algorithm and functionality while converting the code from PowerShell to VB. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| Function binomial(n,k)
binomial = factorial(n)/(factorial(n-k)*factorial(k))
End Function
Function factorial(n)
If n = 0 Then
factorial = 1
Else
For i = n To 1 Step -1
If i = n Then
factorial = n
Else
factorial = factorial * i
End If
Next
End If
End Function
WScript.StdOut.Write "the binomial coefficient of 5 and 3 = " & binomial(5,3)
WScript.StdOut.WriteLine
|
Convert this PowerShell block to Go, preserving its control flow and logic. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| 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 this R snippet to C and keep its semantics consistent. | choose(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;
}
|
Convert this R block to C#, preserving its control flow and logic. | choose(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;
}
}
}
|
Translate the given R code snippet into C++ without altering its behavior. | choose(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)));
}
|
Convert the following code from R to Java, ensuring the logic remains intact. | choose(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);
}
}
|
Port the provided R code into Python while preserving the original functionality. | choose(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))
|
Can you help me rewrite this code in VB instead of R, keeping it the same logically? | choose(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
|
Transform the following R implementation into Go, maintaining the same output and logic. | choose(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))
}
|
Translate the given Racket code snippet into C without altering its behavior. | #lang racket
(require math)
(binomial 10 5)
| #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;
}
|
Generate an equivalent C# version of this Racket code. | #lang racket
(require math)
(binomial 10 5)
| 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 Racket to C++. | #lang racket
(require math)
(binomial 10 5)
| 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 Racket to Java, same semantics. | #lang racket
(require math)
(binomial 10 5)
| 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 Racket code in Python. | #lang racket
(require math)
(binomial 10 5)
| 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 the same code in VB as shown below in Racket. | #lang racket
(require math)
(binomial 10 5)
| 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
|
Rewrite the snippet below in Go so it works the same as the original Racket code. | #lang racket
(require math)
(binomial 10 5)
| 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))
}
|
Preserve the algorithm and functionality while converting the code from REXX to C. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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;
}
|
Write a version of this REXX function in C# with identical behavior. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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;
}
}
}
|
Produce a functionally identical C++ code for the snippet given in REXX. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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)));
}
|
Please provide an equivalent version of this REXX code in Java. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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);
}
}
|
Please provide an equivalent version of this REXX code in Python. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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 the given REXX code snippet into VB without altering its behavior. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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
|
Convert the following code from REXX to Go, ensuring the logic remains intact. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; 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))
}
|
Keep all operations the same but rewrite the snippet in C. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| #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 the snippet below in C# so it works the same as the original Ruby code. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| 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;
}
}
}
|
Change the programming language of this snippet from Ruby to C++ without modifying what it does. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| 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 this program into Java but keep the logic exactly as in Ruby. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| 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);
}
}
|
Produce a functionally identical Python code for the snippet given in Ruby. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| 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))
|
Rewrite the snippet below in VB so it works the same as the original Ruby code. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| 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 Ruby to Go. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| 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))
}
|
Port the provided Scala code into C while preserving the original functionality. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| #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;
}
|
Keep all operations the same but rewrite the snippet in C#. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| 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 Scala, keeping it the same logically? |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| 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)));
}
|
Port the following code from Scala to Java with equivalent syntax and logic. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| 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. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| 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))
|
Transform the following Scala implementation into VB, maintaining the same output and logic. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| 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 language-to-language conversion: from Scala to Go, same semantics. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| 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))
}
|
Port the provided Swift code into C while preserving the original functionality. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| #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;
}
|
Change the programming language of this snippet from Swift to C# without modifying what it does. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| 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 Swift to C++. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| 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)));
}
|
Rewrite the snippet below in Java so it works the same as the original Swift code. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| 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. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| 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 the given Swift code snippet into VB without altering its behavior. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| 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 Swift code into Go without altering its purpose. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| 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 Tcl function in C with identical behavior. | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| #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 the snippet below in C# so it works the same as the original Tcl code. | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| 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 Tcl, keeping it the same logically? | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| 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)));
}
|
Port the following code from Tcl to Java with equivalent syntax and logic. | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| 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);
}
}
|
Translate the given Tcl code snippet into Python without altering its behavior. | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| 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 Tcl, keeping it the same logically? | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| 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 Tcl. | package require Tcl 8.5
proc binom {n k} {
set pTop 1
for {set i $n} {$i > $n - $k} {incr i -1} {
set pTop [expr {$pTop * $i}]
}
set pBottom 1
for {set i $k} {$i > 1} {incr i -1} {
set pBottom [expr {$pBottom * $i}]
}
return [expr {$pTop / $pBottom}]
}
| 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 PHP as shown below in Rust. | fn fact(n:u32) -> u64 {
let mut f:u64 = n as u64;
for i in 2..n {
f *= i as u64;
}
return f;
}
fn choose(n: u32, k: u32) -> u64 {
let mut num:u64 = n as u64;
for i in 1..k {
num *= (n-i) as u64;
}
return num / fact(k);
}
fn main() {
println!("{}", choose(5,3));
}
| <?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;
?>
|
Translate the given Ada code snippet into PHP without altering its behavior. | with Ada.Text_IO; use Ada.Text_IO;
procedure Test_Binomial is
function Binomial (N, K : Natural) return Natural is
Result : Natural := 1;
M : Natural;
begin
if N < K then
raise Constraint_Error;
end if;
if K > N/2 then
M := N - K;
else
M := K;
end if;
for I in 1..M loop
Result := Result * (N - M + I) / I;
end loop;
return Result;
end Binomial;
begin
for N in 0..17 loop
for K in 0..N loop
Put (Integer'Image (Binomial (N, K)));
end loop;
New_Line;
end loop;
end Test_Binomial;
| <?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;
?>
|
Keep all operations the same but rewrite the snippet in PHP. | factorial: function [n]-> product 1..n
binomial: function [x,y]-> (factorial x) / (factorial y) * factorial x-y
print binomial 5 3
| <?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;
?>
|
Keep all operations the same but rewrite the snippet in PHP. | MsgBox, % Round(BinomialCoefficient(5, 3))
BinomialCoefficient(n, k) {
r := 1
Loop, % k < n - k ? k : n - k {
r *= n - A_Index + 1
r /= A_Index
}
Return, r
}
| <?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 following AWK code into PHP without altering its purpose. |
BEGIN {
main(5,3)
main(100,2)
main(33,17)
exit(0)
}
function main(n,k, i,r) {
r = 1
for (i=1; i<k+1; i++) {
r *= (n - i + 1) / i
}
printf("%d %d = %d\n",n,k,r)
}
| <?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;
?>
|
Write the same algorithm in PHP as shown in this BBC_Basic implementation. | @%=&1010
PRINT "Binomial (5,3) = "; FNbinomial(5, 3)
PRINT "Binomial (100,2) = "; FNbinomial(100, 2)
PRINT "Binomial (33,17) = "; FNbinomial(33, 17)
END
DEF FNbinomial(N%, K%)
LOCAL R%, D%
R% = 1 : D% = N% - K%
IF D% > K% THEN K% = D% : D% = N% - K%
WHILE N% > K%
R% *= N%
N% -= 1
WHILE D% > 1 AND (R% MOD D%) = 0
R% /= D%
D% -= 1
ENDWHILE
ENDWHILE
= R%
| <?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;
?>
|
Produce a language-to-language conversion: from Clojure to PHP, same semantics. | (defn binomial-coefficient [n k]
(let [rprod (fn [a b] (reduce * (range a (inc b))))]
(/ (rprod (- n k -1) n) (rprod 1 k))))
| <?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;
?>
|
Write the same code in PHP as shown below in Common_Lisp. | (defun fac (n)
(if (zp n)
1
(* n (fac (1- n)))))
(defun binom (n k)
(/ (fac n) (* (fac (- n k)) (fac k)))
| <?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;
?>
|
Produce a functionally identical PHP code for the snippet given in D. | T binomial(T)(in T n, T k) pure nothrow {
if (k > (n / 2))
k = n - k;
T bc = 1;
foreach (T i; T(2) .. k + 1)
bc = (bc * (n - k + i)) / i;
return bc;
}
void main() {
import std.stdio, std.bigint;
foreach (const d; [[5, 3], [100, 2], [100, 98]])
writefln("(%3d %3d) = %s", d[0], d[1], binomial(d[0], d[1]));
writeln("(100 50) = ", binomial(100.BigInt, 50.BigInt));
}
| <?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;
?>
|
Maintain the same structure and functionality when rewriting this code in PHP. | program Binomial;
function BinomialCoff(N, K: Cardinal): Cardinal;
var
L: Cardinal;
begin
if N < K then
Result:= 0
else begin
if K > N - K then
K:= N - K;
Result:= 1;
L:= 0;
while L < K do begin
Result:= Result * (N - L);
Inc(L);
Result:= Result div L;
end;
end;
end;
begin
Writeln('C(5,3) is ', BinomialCoff(5, 3));
ReadLn;
end.
| <?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;
?>
|
Translate this program into PHP but keep the logic exactly as in Elixir. | defmodule RC do
def choose(n,k) when is_integer(n) and is_integer(k) and n>=0 and k>=0 and n>=k do
if k==0, do: 1, else: choose(n,k,1,1)
end
def choose(n,k,k,acc), do: div(acc * (n-k+1), k)
def choose(n,k,i,acc), do: choose(n, k, i+1, div(acc * (n-i+1), i))
end
IO.inspect RC.choose(5,3)
IO.inspect RC.choose(60,30)
| <?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;
?>
|
Translate the given Erlang code snippet into PHP without altering its behavior. | 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).
| <?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 following F# code into PHP without altering its purpose. | let choose n k = List.fold (fun s i -> s * (n-i+1)/i ) 1 [1..k]
| <?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 following Factor code into PHP without altering its purpose. | : 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 / ;
| <?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 Forth to PHP without modifying what it does. | : choose 1 swap 0 ?do over i - i 1+ */ loop nip ;
5 3 choose .
33 17 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;
?>
|
Write the same algorithm in PHP as shown in this Fortran implementation. | 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;
?>
|
Port the following code from Groovy to PHP with equivalent syntax and logic. | 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))
}
| <?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 following Haskell code into PHP without altering its purpose. | choose :: (Integral a) => a -> a -> a
choose n k = product [k+1..n] `div` product [1..n-k]
| <?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;
?>
|
Translate this program into PHP but keep the logic exactly as in Icon. | link math, factors
procedure main()
write("choose(5,3)=",binocoef(5,3))
end
| <?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;
?>
|
Produce a language-to-language conversion: from J to PHP, same semantics. | 3 ! 5
10
| <?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;
?>
|
Port the following code from Julia to PHP with equivalent syntax and logic. | @show binomial(5, 3)
| <?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;
?>
|
Rewrite this program in PHP while keeping its functionality equivalent to the Lua version. | 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
| <?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;
?>
|
Write a version of this Mathematica function in PHP with identical behavior. | (Local) In[1]:= Binomial[5,3]
(Local) Out[1]= 10
| <?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;
?>
|
Translate the given MATLAB code snippet into PHP without altering its behavior. | >> nchoosek(5,3)
ans =
10
| <?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;
?>
|
Preserve the algorithm and functionality while converting the code from Nim to PHP. | proc binomialCoeff(n, k: int): int =
result = 1
for i in 1..k:
result = result * (n-i+1) div i
echo binomialCoeff(5, 3)
| <?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;
?>
|
Produce a functionally identical PHP code for the snippet given in OCaml. | 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.
| <?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 $binomial_coefficient;
?>
|
Port the provided Perl code into PHP while preserving the original functionality. | sub binomial {
use bigint;
my ($r, $n, $k) = (1, @_);
for (1 .. $k) { $r *= $n--; $r /= $_ }
$r;
}
print binomial(5, 3);
| <?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 $binomial_coefficient;
?>
|
Write the same algorithm in PHP as shown in this PowerShell implementation. | function choose($n,$k) {
if($k -le $n -and 0 -le $k) {
$numerator = $denominator = 1
0..($k-1) | foreach{
$numerator *= ($n-$_)
$denominator *= ($_ + 1)
}
$numerator/$denominator
} else {
"$k is greater than $n or lower than 0"
}
}
choose 5 3
choose 2 1
choose 10 10
choose 10 2
choose 10 8
| <?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;
?>
|
Transform the following R implementation into PHP, maintaining the same output and logic. | choose(5,3)
| <?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 Racket to PHP without modifying what it does. | #lang racket
(require math)
(binomial 10 5)
| <?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;
?>
|
Translate this program into PHP but keep the logic exactly as in REXX. |
numeric digits 100000
parse arg n k .
say 'combinations('n","k')=' comb(n,k)
exit
comb: procedure; parse arg x,y; return !(x) % (!(x-y) * !(y))
!: procedure; !=1; do j=2 to arg(1); !=!*j; end
| <?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;
?>
|
Translate this program into PHP but keep the logic exactly as in Ruby. | class Integer
def choose(k)
pTop = (self-k+1 .. self).inject(1, &:*)
pBottom = (2 .. k).inject(1, &:*)
pTop / pBottom
end
end
p 5.choose(3)
p 60.choose(30)
| <?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;
?>
|
Write a version of this Scala function in PHP with identical behavior. |
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k)
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}
| <?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;
?>
|
Transform the following Swift implementation into PHP, maintaining the same output and logic. | func factorial<T: BinaryInteger>(_ n: T) -> T {
guard n != 0 else {
return 1
}
return stride(from: n, to: 0, by: -1).reduce(1, *)
}
func binomial<T: BinaryInteger>(_ x: (n: T, k: T)) -> T {
let nFac = factorial(x.n)
let kFac = factorial(x.k)
return nFac / (factorial(x.n - x.k) * kFac)
}
print("binomial(\(5), \(3)) = \(binomial((5, 3)))")
print("binomial(\(20), \(11)) = \(binomial((20, 11)))")
| <?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;
?>
|
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