Class MagicSquares

Utility methods for working with magic squares, i.e. the sums of the values in each of their rows, columns, and (optionally) their diagonals add up to the same value.

These all require the possible values in the magic square to be unique.

Inheritance

System.Object

MagicSquares

Inherited Members

System.Object.Equals(System.Object)

System.Object.Equals(System.Object, System.Object)

System.Object.GetHashCode()

System.Object.GetType()

System.Object.MemberwiseClone()

System.Object.ReferenceEquals(System.Object, System.Object)

System.Object.ToString()

Namespace: SudokuSpice

Assembly: SudokuSpice.dll

Syntax

public static class MagicSquares

Methods

ComputeSets(ReadOnlySpan<Int32>)

Computes each unique set of values of length SquareRoot(values.Length) that can be formed from the given values.

Declaration

public static HashSet<BitVector> ComputeSets(ReadOnlySpan<int> values)

Parameters

Type	Name	Description
System.ReadOnlySpan<System.Int32>	values	All the possible values for the magic square. Each value must be unique.

Returns

Type	Description
System.Collections.Generic.HashSet<BitVector>

ComputeSets(ReadOnlySpan<Int32>, Int32, BitVector)

Computes each unique set of values of length boxSize that can be formed from the given values.

Declaration

public static HashSet<BitVector> ComputeSets(ReadOnlySpan<int> values, int boxSize, BitVector allPossibleValues)

Parameters

Type	Name	Description
System.ReadOnlySpan<System.Int32>	values	All the possible values for the magic square. Each value must be unique. Values must have length boxSize*boxSize.
System.Int32	boxSize
BitVector	allPossibleValues	The

Returns

Type	Description
System.Collections.Generic.HashSet<BitVector>

ComputeSum(ReadOnlySpan<Int32>)

Computes the "sum" that each row/column/diagonal must add up to.

Declaration

public static int ComputeSum(ReadOnlySpan<int> values)

Parameters

Type	Name	Description
System.ReadOnlySpan<System.Int32>	values	All the possible values for the magic square. Each value must be unique.

Returns

Type	Description
System.Int32

Exceptions

Type	Condition
System.ArgumentException	Thrown if no sum is possible.