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Produce a language-to-language conversion: from C++ to Rust, same semantics.
#include <algorithm> #include <cstddef> #include <cassert> template<typename MatrixType> struct matrix_traits { typedef typename MatrixType::index_type index_type; typedef typename MatrixType::value_type value_type; static index_type min_row(MatrixType const& A) { return A.min_row(); } static index_type max_row(MatrixType const& A) { return A.max_row(); } static index_type min_column(MatrixType const& A) { return A.min_column(); } static index_type max_column(MatrixType const& A) { return A.max_column(); } static value_type& element(MatrixType& A, index_type i, index_type k) { return A(i,k); } static value_type element(MatrixType const& A, index_type i, index_type k) { return A(i,k); } }; template<typename T, std::size_t rows, std::size_t columns> struct matrix_traits<T[rows][columns]> { typedef std::size_t index_type; typedef T value_type; static index_type min_row(T const (&)[rows][columns]) { return 0; } static index_type max_row(T const (&)[rows][columns]) { return rows-1; } static index_type min_column(T const (&)[rows][columns]) { return 0; } static index_type max_column(T const (&)[rows][columns]) { return columns-1; } static value_type& element(T (&A)[rows][columns], index_type i, index_type k) { return A[i][k]; } static value_type element(T const (&A)[rows][columns], index_type i, index_type k) { return A[i][k]; } }; template<typename MatrixType> void swap_rows(MatrixType& A, typename matrix_traits<MatrixType>::index_type i, typename matrix_traits<MatrixType>::index_type k) { matrix_traits<MatrixType> mt; typedef typename matrix_traits<MatrixType>::index_type index_type; assert(mt.min_row(A) <= i); assert(i <= mt.max_row(A)); assert(mt.min_row(A) <= k); assert(k <= mt.max_row(A)); for (index_type col = mt.min_column(A); col <= mt.max_column(A); ++col) std::swap(mt.element(A, i, col), mt.element(A, k, col)); } template<typename MatrixType> void divide_row(MatrixType& A, typename matrix_traits<MatrixType>::index_type i, typename matrix_traits<MatrixType>::value_type v) { matrix_traits<MatrixType> mt; typedef typename matrix_traits<MatrixType>::index_type index_type; assert(mt.min_row(A) <= i); assert(i <= mt.max_row(A)); assert(v != 0); for (index_type col = mt.min_column(A); col <= mt.max_column(A); ++col) mt.element(A, i, col) /= v; } template<typename MatrixType> void add_multiple_row(MatrixType& A, typename matrix_traits<MatrixType>::index_type i, typename matrix_traits<MatrixType>::index_type k, typename matrix_traits<MatrixType>::value_type v) { matrix_traits<MatrixType> mt; typedef typename matrix_traits<MatrixType>::index_type index_type; assert(mt.min_row(A) <= i); assert(i <= mt.max_row(A)); assert(mt.min_row(A) <= k); assert(k <= mt.max_row(A)); for (index_type col = mt.min_column(A); col <= mt.max_column(A); ++col) mt.element(A, i, col) += v * mt.element(A, k, col); } template<typename MatrixType> void to_reduced_row_echelon_form(MatrixType& A) { matrix_traits<MatrixType> mt; typedef typename matrix_traits<MatrixType>::index_type index_type; index_type lead = mt.min_row(A); for (index_type row = mt.min_row(A); row <= mt.max_row(A); ++row) { if (lead > mt.max_column(A)) return; index_type i = row; while (mt.element(A, i, lead) == 0) { ++i; if (i > mt.max_row(A)) { i = row; ++lead; if (lead > mt.max_column(A)) return; } } swap_rows(A, i, row); divide_row(A, row, mt.element(A, row, lead)); for (i = mt.min_row(A); i <= mt.max_row(A); ++i) { if (i != row) add_multiple_row(A, i, row, -mt.element(A, i, lead)); } } } #include <iostream> int main() { double M[3][4] = { { 1, 2, -1, -4 }, { 2, 3, -1, -11 }, { -2, 0, -3, 22 } }; to_reduced_row_echelon_form(M); for (int i = 0; i < 3; ++i) { for (int j = 0; j < 4; ++j) std::cout << M[i][j] << '\t'; std::cout << "\n"; } return EXIT_SUCCESS; }
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
Write the same algorithm in Rust as shown in this Go implementation.
package main import "fmt" type matrix [][]float64 func (m matrix) print() { for _, r := range m { fmt.Println(r) } fmt.Println("") } func main() { m := matrix{ { 1, 2, -1, -4}, { 2, 3, -1, -11}, {-2, 0, -3, 22}, } m.print() rref(m) m.print() } func rref(m matrix) { lead := 0 rowCount := len(m) columnCount := len(m[0]) for r := 0; r < rowCount; r++ { if lead >= columnCount { return } i := r for m[i][lead] == 0 { i++ if rowCount == i { i = r lead++ if columnCount == lead { return } } } m[i], m[r] = m[r], m[i] f := 1 / m[r][lead] for j, _ := range m[r] { m[r][j] *= f } for i = 0; i < rowCount; i++ { if i != r { f = m[i][lead] for j, e := range m[r] { m[i][j] -= e * f } } } lead++ } }
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
Produce a language-to-language conversion: from Rust to VB, same semantics.
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
Private Function ToReducedRowEchelonForm(M As Variant) As Variant Dim lead As Integer: lead = 0 Dim rowCount As Integer: rowCount = UBound(M) Dim columnCount As Integer: columnCount = UBound(M(0)) Dim i As Integer For r = 0 To rowCount If lead >= columnCount Then Exit For End If i = r Do While M(i)(lead) = 0 i = i + 1 If i = rowCount Then i = r lead = lead + 1 If lead = columnCount Then Exit For End If End If Loop Dim tmp As Variant tmp = M(r) M(r) = M(i) M(i) = tmp If M(r)(lead) <> 0 Then div = M(r)(lead) For t = LBound(M(r)) To UBound(M(r)) M(r)(t) = M(r)(t) / div Next t End If For j = 0 To rowCount If j <> r Then subt = M(j)(lead) For t = LBound(M(j)) To UBound(M(j)) M(j)(t) = M(j)(t) - subt * M(r)(t) Next t End If Next j lead = lead + 1 Next r ToReducedRowEchelonForm = M End Function Public Sub main() r = ToReducedRowEchelonForm(Array( _ Array(1, 2, -1, -4), _ Array(2, 3, -1, -11), _ Array(-2, 0, -3, 22))) For i = LBound(r) To UBound(r) Debug.Print Join(r(i), vbTab) Next i End Sub
Change the programming language of this snippet from C# to Rust without modifying what it does.
using System; namespace rref { class Program { static void Main(string[] args) { int[,] matrix = new int[3, 4]{ { 1, 2, -1, -4 }, { 2, 3, -1, -11 }, { -2, 0, -3, 22 } }; matrix = rref(matrix); } private static int[,] rref(int[,] matrix) { int lead = 0, rowCount = matrix.GetLength(0), columnCount = matrix.GetLength(1); for (int r = 0; r < rowCount; r++) { if (columnCount <= lead) break; int i = r; while (matrix[i, lead] == 0) { i++; if (i == rowCount) { i = r; lead++; if (columnCount == lead) { lead--; break; } } } for (int j = 0; j < columnCount; j++) { int temp = matrix[r, j]; matrix[r, j] = matrix[i, j]; matrix[i, j] = temp; } int div = matrix[r, lead]; if(div != 0) for (int j = 0; j < columnCount; j++) matrix[r, j] /= div; for (int j = 0; j < rowCount; j++) { if (j != r) { int sub = matrix[j, lead]; for (int k = 0; k < columnCount; k++) matrix[j, k] -= (sub * matrix[r, k]); } } lead++; } return matrix; } } }
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
Keep all operations the same but rewrite the snippet in Rust.
import java.util.*; import java.lang.Math; import org.apache.commons.math.fraction.Fraction; import org.apache.commons.math.fraction.FractionConversionException; class Matrix { LinkedList<LinkedList<Fraction>> matrix; int numRows; int numCols; static class Coordinate { int row; int col; Coordinate(int r, int c) { row = r; col = c; } public String toString() { return "(" + row + ", " + col + ")"; } } Matrix(double [][] m) { numRows = m.length; numCols = m[0].length; matrix = new LinkedList<LinkedList<Fraction>>(); for (int i = 0; i < numRows; i++) { matrix.add(new LinkedList<Fraction>()); for (int j = 0; j < numCols; j++) { try { matrix.get(i).add(new Fraction(m[i][j])); } catch (FractionConversionException e) { System.err.println("Fraction could not be converted from double by apache commons . . ."); } } } } public void Interchange(Coordinate a, Coordinate b) { LinkedList<Fraction> temp = matrix.get(a.row); matrix.set(a.row, matrix.get(b.row)); matrix.set(b.row, temp); int t = a.row; a.row = b.row; b.row = t; } public void Scale(Coordinate x, Fraction d) { LinkedList<Fraction> row = matrix.get(x.row); for (int i = 0; i < numCols; i++) { row.set(i, row.get(i).multiply(d)); } } public void MultiplyAndAdd(Coordinate to, Coordinate from, Fraction scalar) { LinkedList<Fraction> row = matrix.get(to.row); LinkedList<Fraction> rowMultiplied = matrix.get(from.row); for (int i = 0; i < numCols; i++) { row.set(i, row.get(i).add((rowMultiplied.get(i).multiply(scalar)))); } } public void RREF() { Coordinate pivot = new Coordinate(0,0); int submatrix = 0; for (int x = 0; x < numCols; x++) { pivot = new Coordinate(pivot.row, x); for (int i = x; i < numCols; i++) { if (isColumnZeroes(pivot) == false) { break; } else { pivot.col = i; } } pivot = findPivot(pivot); if (getCoordinate(pivot).doubleValue() == 0.0) { pivot.row++; continue; } if (pivot.row != submatrix) { Interchange(new Coordinate(submatrix, pivot.col), pivot); } if (getCoordinate(pivot).doubleValue() != 1) { Fraction scalar = getCoordinate(pivot).reciprocal(); Scale(pivot, scalar); } for (int i = pivot.row; i < numRows; i++) { if (i == pivot.row) { continue; } Coordinate belowPivot = new Coordinate(i, pivot.col); Fraction complement = (getCoordinate(belowPivot).negate().divide(getCoordinate(pivot))); MultiplyAndAdd(belowPivot, pivot, complement); } for (int i = pivot.row; i >= 0; i--) { if (i == pivot.row) { if (getCoordinate(pivot).doubleValue() != 1.0) { Scale(pivot, getCoordinate(pivot).reciprocal()); } continue; } if (i == pivot.row) { continue; } Coordinate abovePivot = new Coordinate(i, pivot.col); Fraction complement = (getCoordinate(abovePivot).negate().divide(getCoordinate(pivot))); MultiplyAndAdd(abovePivot, pivot, complement); } if ((pivot.row + 1) >= numRows || isRowZeroes(new Coordinate(pivot.row+1, pivot.col))) { break; } submatrix++; pivot.row++; } } public boolean isColumnZeroes(Coordinate a) { for (int i = 0; i < numRows; i++) { if (matrix.get(i).get(a.col).doubleValue() != 0.0) { return false; } } return true; } public boolean isRowZeroes(Coordinate a) { for (int i = 0; i < numCols; i++) { if (matrix.get(a.row).get(i).doubleValue() != 0.0) { return false; } } return true; } public Coordinate findPivot(Coordinate a) { int first_row = a.row; Coordinate pivot = new Coordinate(a.row, a.col); Coordinate current = new Coordinate(a.row, a.col); for (int i = a.row; i < (numRows - first_row); i++) { current.row = i; if (getCoordinate(current).doubleValue() == 1.0) { Interchange(current, a); } } current.row = a.row; for (int i = current.row; i < (numRows - first_row); i++) { current.row = i; if (getCoordinate(current).doubleValue() != 0) { pivot.row = i; break; } } return pivot; } public Fraction getCoordinate(Coordinate a) { return matrix.get(a.row).get(a.col); } public String toString() { return matrix.toString().replace("], ", "]\n"); } public static void main (String[] args) { double[][] matrix_1 = { {1, 2, -1, -4}, {2, 3, -1, -11}, {-2, 0, -3, 22} }; Matrix x = new Matrix(matrix_1); System.out.println("before\n" + x.toString() + "\n"); x.RREF(); System.out.println("after\n" + x.toString() + "\n"); double matrix_2 [][] = { {2, 0, -1, 0, 0}, {1, 0, 0, -1, 0}, {3, 0, 0, -2, -1}, {0, 1, 0, 0, -2}, {0, 1, -1, 0, 0} }; Matrix y = new Matrix(matrix_2); System.out.println("before\n" + y.toString() + "\n"); y.RREF(); System.out.println("after\n" + y.toString() + "\n"); double matrix_3 [][] = { {1, 2, 3, 4, 3, 1}, {2, 4, 6, 2, 6, 2}, {3, 6, 18, 9, 9, -6}, {4, 8, 12, 10, 12, 4}, {5, 10, 24, 11, 15, -4} }; Matrix z = new Matrix(matrix_3); System.out.println("before\n" + z.toString() + "\n"); z.RREF(); System.out.println("after\n" + z.toString() + "\n"); double matrix_4 [][] = { {0, 1}, {1, 2}, {0,5} }; Matrix a = new Matrix(matrix_4); System.out.println("before\n" + a.toString() + "\n"); a.RREF(); System.out.println("after\n" + a.toString() + "\n"); } }
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
Keep all operations the same but rewrite the snippet in Python.
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
def ToReducedRowEchelonForm( M): if not M: return lead = 0 rowCount = len(M) columnCount = len(M[0]) for r in range(rowCount): if lead >= columnCount: return i = r while M[i][lead] == 0: i += 1 if i == rowCount: i = r lead += 1 if columnCount == lead: return M[i],M[r] = M[r],M[i] lv = M[r][lead] M[r] = [ mrx / float(lv) for mrx in M[r]] for i in range(rowCount): if i != r: lv = M[i][lead] M[i] = [ iv - lv*rv for rv,iv in zip(M[r],M[i])] lead += 1 mtx = [ [ 1, 2, -1, -4], [ 2, 3, -1, -11], [-2, 0, -3, 22],] ToReducedRowEchelonForm( mtx ) for rw in mtx: print ', '.join( (str(rv) for rv in rw) )
Write a version of this C function in Rust with identical behavior.
#include <stdio.h> #define TALLOC(n,typ) malloc(n*sizeof(typ)) #define EL_Type int typedef struct sMtx { int dim_x, dim_y; EL_Type *m_stor; EL_Type **mtx; } *Matrix, sMatrix; typedef struct sRvec { int dim_x; EL_Type *m_stor; } *RowVec, sRowVec; Matrix NewMatrix( int x_dim, int y_dim ) { int n; Matrix m; m = TALLOC( 1, sMatrix); n = x_dim * y_dim; m->dim_x = x_dim; m->dim_y = y_dim; m->m_stor = TALLOC(n, EL_Type); m->mtx = TALLOC(m->dim_y, EL_Type *); for(n=0; n<y_dim; n++) { m->mtx[n] = m->m_stor+n*x_dim; } return m; } void MtxSetRow(Matrix m, int irow, EL_Type *v) { int ix; EL_Type *mr; mr = m->mtx[irow]; for(ix=0; ix<m->dim_x; ix++) mr[ix] = v[ix]; } Matrix InitMatrix( int x_dim, int y_dim, EL_Type **v) { Matrix m; int iy; m = NewMatrix(x_dim, y_dim); for (iy=0; iy<y_dim; iy++) MtxSetRow(m, iy, v[iy]); return m; } void MtxDisplay( Matrix m ) { int iy, ix; const char *sc; for (iy=0; iy<m->dim_y; iy++) { printf(" "); sc = " "; for (ix=0; ix<m->dim_x; ix++) { printf("%s %3d", sc, m->mtx[iy][ix]); sc = ","; } printf("\n"); } printf("\n"); } void MtxMulAndAddRows(Matrix m, int ixrdest, int ixrsrc, EL_Type mplr) { int ix; EL_Type *drow, *srow; drow = m->mtx[ixrdest]; srow = m->mtx[ixrsrc]; for (ix=0; ix<m->dim_x; ix++) drow[ix] += mplr * srow[ix]; } void MtxSwapRows( Matrix m, int rix1, int rix2) { EL_Type *r1, *r2, temp; int ix; if (rix1 == rix2) return; r1 = m->mtx[rix1]; r2 = m->mtx[rix2]; for (ix=0; ix<m->dim_x; ix++) temp = r1[ix]; r1[ix]=r2[ix]; r2[ix]=temp; } void MtxNormalizeRow( Matrix m, int rix, int lead) { int ix; EL_Type *drow; EL_Type lv; drow = m->mtx[rix]; lv = drow[lead]; for (ix=0; ix<m->dim_x; ix++) drow[ix] /= lv; } #define MtxGet( m, rix, cix ) m->mtx[rix][cix] void MtxToReducedREForm(Matrix m) { int lead; int rix, iix; EL_Type lv; int rowCount = m->dim_y; lead = 0; for (rix=0; rix<rowCount; rix++) { if (lead >= m->dim_x) return; iix = rix; while (0 == MtxGet(m, iix,lead)) { iix++; if (iix == rowCount) { iix = rix; lead++; if (lead == m->dim_x) return; } } MtxSwapRows(m, iix, rix ); MtxNormalizeRow(m, rix, lead ); for (iix=0; iix<rowCount; iix++) { if ( iix != rix ) { lv = MtxGet(m, iix, lead ); MtxMulAndAddRows(m,iix, rix, -lv) ; } } lead++; } } int main() { Matrix m1; static EL_Type r1[] = {1,2,-1,-4}; static EL_Type r2[] = {2,3,-1,-11}; static EL_Type r3[] = {-2,0,-3,22}; static EL_Type *im[] = { r1, r2, r3 }; m1 = InitMatrix( 4,3, im ); printf("Initial\n"); MtxDisplay(m1); MtxToReducedREForm(m1); printf("Reduced R-E form\n"); MtxDisplay(m1); return 0; }
fn main() { let mut matrix_to_reduce: Vec<Vec<f64>> = vec![vec![1.0, 2.0 , -1.0, -4.0], vec![2.0, 3.0, -1.0, -11.0], vec![-2.0, 0.0, -3.0, 22.0]]; let mut r_mat_to_red = &mut matrix_to_reduce; let rr_mat_to_red = &mut r_mat_to_red; println!("Matrix to reduce:\n{:?}", rr_mat_to_red); let reduced_matrix = reduced_row_echelon_form(rr_mat_to_red); println!("Reduced matrix:\n{:?}", reduced_matrix); } fn reduced_row_echelon_form(matrix: &mut Vec<Vec<f64>>) -> Vec<Vec<f64>> { let mut matrix_out: Vec<Vec<f64>> = matrix.to_vec(); let mut pivot = 0; let row_count = matrix_out.len(); let column_count = matrix_out[0].len(); 'outer: for r in 0..row_count { if column_count <= pivot { break; } let mut i = r; while matrix_out[i][pivot] == 0.0 { i = i+1; if i == row_count { i = r; pivot = pivot + 1; if column_count == pivot { pivot = pivot - 1; break 'outer; } } } for j in 0..row_count { let temp = matrix_out[r][j]; matrix_out[r][j] = matrix_out[i][j]; matrix_out[i][j] = temp; } let divisor = matrix_out[r][pivot]; if divisor != 0.0 { for j in 0..column_count { matrix_out[r][j] = matrix_out[r][j] / divisor; } } for j in 0..row_count { if j != r { let hold = matrix_out[j][pivot]; for k in 0..column_count { matrix_out[j][k] = matrix_out[j][k] - ( hold * matrix_out[r][k]); } } } pivot = pivot + 1; } matrix_out }
Translate the given Ada code snippet into C# without altering its behavior.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Transform the following Ada implementation into C, maintaining the same output and logic.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Preserve the algorithm and functionality while converting the code from Ada to C++.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Generate a Go translation of this Ada snippet without changing its computational steps.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Convert this Ada snippet to Java and keep its semantics consistent.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Translate this program into Python but keep the logic exactly as in Ada.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Keep all operations the same but rewrite the snippet in VB.
with Ada.Text_IO, Ada.Command_Line; use Ada.Text_IO, Ada.Command_Line; procedure powerset is begin for set in 0..2**Argument_Count-1 loop Put ("{"); declare k : natural := set; first : boolean := true; begin for i in 1..Argument_Count loop if k mod 2 = 1 then Put ((if first then "" else ",") & Argument (i)); first := false; end if; k := k / 2; end loop; end; Put_Line("}"); end loop; end powerset;
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Convert this Arturo snippet to C and keep its semantics consistent.
print powerset [1 2 3 4]
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Translate this program into C# but keep the logic exactly as in Arturo.
print powerset [1 2 3 4]
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Produce a functionally identical C++ code for the snippet given in Arturo.
print powerset [1 2 3 4]
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Change the programming language of this snippet from Arturo to Java without modifying what it does.
print powerset [1 2 3 4]
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Maintain the same structure and functionality when rewriting this code in Python.
print powerset [1 2 3 4]
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Port the following code from Arturo to VB with equivalent syntax and logic.
print powerset [1 2 3 4]
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Write a version of this Arturo function in Go with identical behavior.
print powerset [1 2 3 4]
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Produce a functionally identical C code for the snippet given in AutoHotKey.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Rewrite this program in C# while keeping its functionality equivalent to the AutoHotKey version.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Generate a C++ translation of this AutoHotKey snippet without changing its computational steps.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Port the following code from AutoHotKey to Java with equivalent syntax and logic.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Convert this AutoHotKey snippet to Python and keep its semantics consistent.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Rewrite the snippet below in VB so it works the same as the original AutoHotKey code.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Maintain the same structure and functionality when rewriting this code in Go.
a = 1,a,-- Β  StringSplit a, a, `, Β  t = { Loop % (1<<a0) { Β  x := A_Index-1 Loop % a0 t .= (x>>A_Index-1) & 1 ? a%A_Index% "," : "" t .= "}`n{" Β  } MsgBox % RegExReplace(SubStr(t,1,StrLen(t)-1),",}","}")
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Port the following code from AWK to C with equivalent syntax and logic.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Produce a language-to-language conversion: from AWK to C#, same semantics.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Write the same code in C++ as shown below in AWK.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Write the same algorithm in Java as shown in this AWK implementation.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Write a version of this AWK function in Python with identical behavior.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Convert this AWK block to VB, preserving its control flow and logic.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Transform the following AWK implementation into Go, maintaining the same output and logic.
cat power_set.awk function tochar(l,n, r) { while (l) { n--; if (l%2 != 0) r = r sprintf(" %c ",49+n); l = int(l/2) }; return r } { for (i=0;i<=2^NF-1;i++) if (i == 0) printf("empty\n"); else printf("(%s)\n",tochar(i,NF)) }
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Can you help me rewrite this code in C instead of BBC_Basic, keeping it the same logically?
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Write the same code in C# as shown below in BBC_Basic.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Convert this BBC_Basic snippet to C++ and keep its semantics consistent.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Write the same algorithm in Java as shown in this BBC_Basic implementation.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Produce a functionally identical Python code for the snippet given in BBC_Basic.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Write a version of this BBC_Basic function in VB with identical behavior.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Write the same algorithm in Go as shown in this BBC_Basic implementation.
DIM list$(3) : list$() = "1", "2", "3", "4" PRINT FNpowerset(list$()) END DEF FNpowerset(list$()) IF DIM(list$(),1) > 31 ERROR 100, "Set too large to represent as integer" LOCAL i%, j%, s$ s$ = "{" FOR i% = 0 TO (2 << DIM(list$(),1)) - 1 s$ += "{" FOR j% = 0 TO DIM(list$(),1) IF i% AND (1 << j%) s$ += list$(j%) + "," NEXT IF RIGHT$(s$) = "," s$ = LEFT$(s$) s$ += "}," NEXT i% = LEFT$(s$) + "}"
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Produce a language-to-language conversion: from Clojure to C, same semantics.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Write the same algorithm in C# as shown in this Clojure implementation.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Change the programming language of this snippet from Clojure to C++ without modifying what it does.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Generate an equivalent Java version of this Clojure code.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Ensure the translated Python code behaves exactly like the original Clojure snippet.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Generate an equivalent VB version of this Clojure code.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Convert this Clojure block to Go, preserving its control flow and logic.
(use '[clojure.math.combinatorics :only [subsets] ]) (def S #{1 2 3 4}) user> (subsets S) (() (1) (2) (3) (4) (1 2) (1 3) (1 4) (2 3) (2 4) (3 4) (1 2 3) (1 2 4) (1 3 4) (2 3 4) (1 2 3 4))
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Change the following Common_Lisp code into C without altering its purpose.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Port the following code from Common_Lisp to C# with equivalent syntax and logic.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Maintain the same structure and functionality when rewriting this code in C++.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Rewrite this program in Java while keeping its functionality equivalent to the Common_Lisp version.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Please provide an equivalent version of this Common_Lisp code in Python.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Convert the following code from Common_Lisp to VB, ensuring the logic remains intact.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Rewrite the snippet below in Go so it works the same as the original Common_Lisp code.
(defun powerset (s) (if s (mapcan (lambda (x) (list (cons (car s) x) x)) (powerset (cdr s))) '(())))
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Port the following code from D to C with equivalent syntax and logic.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Change the following D code into C# without altering its purpose.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Write a version of this D function in C++ with identical behavior.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Port the following code from D to Java with equivalent syntax and logic.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Write the same algorithm in Python as shown in this D implementation.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Convert the following code from D to VB, ensuring the logic remains intact.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Translate this program into Go but keep the logic exactly as in D.
import std.algorithm; import std.range; auto powerSet(R)(R r) { return (1L<<r.length) .iota .map!(i => r.enumerate .filter!(t => (1<<t[0]) & i) .map!(t => t[1]) ); } unittest { int[] emptyArr; assert(emptyArr.powerSet.equal!equal([emptyArr])); assert(emptyArr.powerSet.powerSet.equal!(equal!equal)([[], [emptyArr]])); } void main(string[] args) { import std.stdio; args[1..$].powerSet.each!writeln; }
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Write a version of this Delphi function in C with identical behavior.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Please provide an equivalent version of this Delphi code in C#.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Change the programming language of this snippet from Delphi to C++ without modifying what it does.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Translate this program into Java but keep the logic exactly as in Delphi.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Port the provided Delphi code into Python while preserving the original functionality.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Please provide an equivalent version of this Delphi code in VB.
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Can you help me rewrite this code in Go instead of Delphi, keeping it the same logically?
program Power_set; uses System.SysUtils; const n = 4; var buf: TArray<Integer>; procedure rec(ind, bg: Integer); begin for var i := bg to n - 1 do begin buf[ind] := i; for var j := 0 to ind do write(buf[j]: 2); writeln; rec(ind + 1, buf[ind] + 1); end; end; begin SetLength(buf, n); rec(0,0); readln; end.
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Write the same algorithm in C as shown in this Elixir implementation.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Keep all operations the same but rewrite the snippet in C#.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Change the following Elixir code into C++ without altering its purpose.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Transform the following Elixir implementation into Java, maintaining the same output and logic.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Produce a language-to-language conversion: from Elixir to Python, same semantics.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Write the same code in VB as shown below in Elixir.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Keep all operations the same but rewrite the snippet in Go.
defmodule RC do use Bitwise def powerset1(list) do n = length(list) max = round(:math.pow(2,n)) for i <- 0..max-1, do: (for pos <- 0..n-1, band(i, bsl(1, pos)) != 0, do: Enum.at(list, pos) ) end def powerset2([]), do: [[]] def powerset2([h|t]) do pt = powerset2(t) (for x <- pt, do: [h|x]) ++ pt end def powerset3([]), do: [[]] def powerset3([h|t]) do pt = powerset3(t) powerset3(h, pt, pt) end defp powerset3(_, [], acc), do: acc defp powerset3(x, [h|t], acc), do: powerset3(x, t, [[x|h] | acc]) end IO.inspect RC.powerset1([1,2,3]) IO.inspect RC.powerset2([1,2,3]) IO.inspect RC.powerset3([1,2,3]) IO.inspect RC.powerset1([]) IO.inspect RC.powerset1(["one"])
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Convert the following code from Erlang to C, ensuring the logic remains intact.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Convert this Erlang block to C#, preserving its control flow and logic.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Generate an equivalent C++ version of this Erlang code.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Rewrite the snippet below in Java so it works the same as the original Erlang code.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Rewrite the snippet below in Python so it works the same as the original Erlang code.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Rewrite this program in VB while keeping its functionality equivalent to the Erlang version.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Convert this Erlang block to Go, preserving its control flow and logic.
powerset(Lst) -> N = length(Lst), Max = trunc(math:pow(2,N)), [[lists:nth(Pos+1,Lst) || Pos <- lists:seq(0,N-1), I band (1 bsl Pos) =/= 0] || I <- lists:seq(0,Max-1)].
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Write a version of this F# function in C with identical behavior.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Transform the following F# implementation into C#, maintaining the same output and logic.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Change the following F# code into C++ without altering its purpose.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Preserve the algorithm and functionality while converting the code from F# to Java.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Change the programming language of this snippet from F# to Python without modifying what it does.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Produce a language-to-language conversion: from F# to VB, same semantics.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Produce a functionally identical Go code for the snippet given in F#.
let subsets xs = List.foldBack (fun x rest -> rest @ List.map (fun ys -> x::ys) rest) xs [[]]
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Keep all operations the same but rewrite the snippet in C.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Write the same code in C# as shown below in Factor.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }
Write a version of this Factor function in C++ with identical behavior.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
#include <iostream> #include <set> #include <vector> #include <iterator> #include <algorithm> typedef std::set<int> set_type; typedef std::set<set_type> powerset_type; powerset_type powerset(set_type const& set) { typedef set_type::const_iterator set_iter; typedef std::vector<set_iter> vec; typedef vec::iterator vec_iter; struct local { static int dereference(set_iter v) { return *v; } }; powerset_type result; vec elements; do { set_type tmp; std::transform(elements.begin(), elements.end(), std::inserter(tmp, tmp.end()), local::dereference); result.insert(tmp); if (!elements.empty() && ++elements.back() == set.end()) { elements.pop_back(); } else { set_iter iter; if (elements.empty()) { iter = set.begin(); } else { iter = elements.back(); ++iter; } for (; iter != set.end(); ++iter) { elements.push_back(iter); } } } while (!elements.empty()); return result; } int main() { int values[4] = { 2, 3, 5, 7 }; set_type test_set(values, values+4); powerset_type test_powerset = powerset(test_set); for (powerset_type::iterator iter = test_powerset.begin(); iter != test_powerset.end(); ++iter) { std::cout << "{ "; char const* prefix = ""; for (set_type::iterator iter2 = iter->begin(); iter2 != iter->end(); ++iter2) { std::cout << prefix << *iter2; prefix = ", "; } std::cout << " }\n"; } }
Write the same code in Java as shown below in Factor.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
public static ArrayList<String> getpowerset(int a[],int n,ArrayList<String> ps) { if(n<0) { return null; } if(n==0) { if(ps==null) ps=new ArrayList<String>(); ps.add(" "); return ps; } ps=getpowerset(a, n-1, ps); ArrayList<String> tmp=new ArrayList<String>(); for(String s:ps) { if(s.equals(" ")) tmp.add(""+a[n-1]); else tmp.add(s+a[n-1]); } ps.addAll(tmp); return ps; }
Write a version of this Factor function in Python with identical behavior.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
def list_powerset(lst): result = [[]] for x in lst: result.extend([subset + [x] for subset in result]) return result def list_powerset2(lst): return reduce(lambda result, x: result + [subset + [x] for subset in result], lst, [[]]) def powerset(s): return frozenset(map(frozenset, list_powerset(list(s))))
Convert this Factor snippet to VB and keep its semantics consistent.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
Option Base 1 Private Function power_set(ByRef st As Collection) As Collection Dim subset As Collection, pwset As New Collection For i = 0 To 2 ^ st.Count - 1 Set subset = New Collection For j = 1 To st.Count If i And 2 ^ (j - 1) Then subset.Add st(j) Next j pwset.Add subset Next i Set power_set = pwset End Function Private Function print_set(ByRef st As Collection) As String Dim s() As String, t() As String ReDim s(st.Count) For i = 1 To st.Count If st(i).Count > 0 Then ReDim t(st(i).Count) For j = 1 To st(i).Count Select Case TypeName(st(i)(j)) Case "Integer": t(j) = CStr(st(i)(j)) Case "Collection": t(j) = "{}" End Select Next j s(i) = "{" & Join(t, ", ") & "}" Else s(i) = "{}" End If Next i print_set = "{" & Join(s, ", ") & "}" End Function Public Sub rc() Dim rcset As New Collection, result As Collection For i = 1 To 4 rcset.Add i Next i Debug.Print print_set(power_set(rcset)) Set rcset = New Collection Debug.Print print_set(power_set(rcset)) Dim emptyset As New Collection rcset.Add emptyset Debug.Print print_set(power_set(rcset)) Debug.Print End Sub
Preserve the algorithm and functionality while converting the code from Factor to Go.
USING: kernel prettyprint sequences arrays sets hash-sets ; IN: powerset : add ( set elt -- newset ) 1array <hash-set> union ; : powerset ( set -- newset ) members { HS{ } } [ dupd [ add ] curry map append ] reduce <hash-set> ;
package main import ( "fmt" "strconv" "strings" ) type elem interface { Eq(elem) bool fmt.Stringer } type Int int func (i Int) Eq(e elem) bool { j, ok := e.(Int) return ok && i == j } func (i Int) String() string { return strconv.Itoa(int(i)) } type set []elem func (s *set) add(e elem) { if !s.has(e) { *s = append(*s, e) } } func (s *set) has(e elem) bool { for _, ex := range *s { if e.Eq(ex) { return true } } return false } func (s set) ok() bool { for i, e0 := range s { for _, e1 := range s[i+1:] { if e0.Eq(e1) { return false } } } return true } func (s set) Eq(e elem) bool { t, ok := e.(set) if !ok { return false } if len(s) != len(t) { return false } for _, se := range s { if !t.has(se) { return false } } return true } func (s set) String() string { if len(s) == 0 { return "βˆ…" } var buf strings.Builder buf.WriteRune('{') for i, e := range s { if i > 0 { buf.WriteRune(',') } buf.WriteString(e.String()) } buf.WriteRune('}') return buf.String() } func (s set) powerSet() set { r := set{set{}} for _, es := range s { var u set for _, er := range r { er := er.(set) u = append(u, append(er[:len(er):len(er)], es)) } r = append(r, u...) } return r } func main() { var s set for _, i := range []Int{1, 2, 2, 3, 4, 4, 4} { s.add(i) } fmt.Println(" s:", s, "length:", len(s)) ps := s.powerSet() fmt.Println(" 𝑷(s):", ps, "length:", len(ps)) fmt.Println("\n(extra credit)") var empty set fmt.Println(" empty:", empty, "len:", len(empty)) ps = empty.powerSet() fmt.Println(" 𝑷(βˆ…):", ps, "len:", len(ps)) ps = ps.powerSet() fmt.Println("𝑷(𝑷(βˆ…)):", ps, "len:", len(ps)) fmt.Println("\n(regression test for earlier bug)") s = set{Int(1), Int(2), Int(3), Int(4), Int(5)} fmt.Println(" s:", s, "length:", len(s), "ok:", s.ok()) ps = s.powerSet() fmt.Println(" 𝑷(s):", "length:", len(ps), "ok:", ps.ok()) for _, e := range ps { if !e.(set).ok() { panic("invalid set in ps") } } }
Keep all operations the same but rewrite the snippet in C.
: ?print dup 1 and if over args type space then ; : .set begin dup while ?print >r 1+ r> 1 rshift repeat drop drop ; : .powerset 0 do ." " cr loop ; : check-none dup 2 < abort" Usage: powerset [val] .. [val]" ; : check-size dup /cell 8 [*] >= abort" Set too large" ; : powerset 1 argn check-none check-size 1- lshift .powerset ; powerset
#include <stdio.h> struct node { char *s; struct node* prev; }; void powerset(char **v, int n, struct node *up) { struct node me; if (!n) { putchar('['); while (up) { printf(" %s", up->s); up = up->prev; } puts(" ]"); } else { me.s = *v; me.prev = up; powerset(v + 1, n - 1, up); powerset(v + 1, n - 1, &me); } } int main(int argc, char **argv) { powerset(argv + 1, argc - 1, 0); return 0; }
Convert the following code from Forth to C#, ensuring the logic remains intact.
: ?print dup 1 and if over args type space then ; : .set begin dup while ?print >r 1+ r> 1 rshift repeat drop drop ; : .powerset 0 do ." " cr loop ; : check-none dup 2 < abort" Usage: powerset [val] .. [val]" ; : check-size dup /cell 8 [*] >= abort" Set too large" ; : powerset 1 argn check-none check-size 1- lshift .powerset ; powerset
public IEnumerable<IEnumerable<T>> GetPowerSet<T>(List<T> list) { return from m in Enumerable.Range(0, 1 << list.Count) select from i in Enumerable.Range(0, list.Count) where (m & (1 << i)) != 0 select list[i]; } public void PowerSetofColors() { var colors = new List<KnownColor> { KnownColor.Red, KnownColor.Green, KnownColor.Blue, KnownColor.Yellow }; var result = GetPowerSet(colors); Console.Write( string.Join( Environment.NewLine, result.Select(subset => string.Join(",", subset.Select(clr => clr.ToString()).ToArray())).ToArray())); }