A B C D F G I L M N O P R S T U V

A

abs() - Method in class Fraction

Absolute value of the fraction.

add(Fraction) - Method in class Fraction

Adds another fraction to this fraction.

add(Vector) - Method in class Vector

Adds another vector to this vector.

addColumn(int, int, Fraction) - Method in class Matrix

Adds a multiple of one column of this matrix to another column.

addRow(int, int, Fraction) - Method in class Matrix

Adds a multiple of one row of this matrix to another row.

angle(Subspace, char, char, boolean) - Method in class Subspace

Calculates the angle of any two subspaces using the most efficient method.

angleDirectionVectors(Vector) - Method in class Vector

Calculates the angle of two direction vectors of lines (the resulting angle will be from 0 to π/2).

angleDirectionVectors(Vector, char, char, boolean) - Method in class Vector

Calculates the angle of two direction vectors of lines (the resulting angle will be from 0 to π/2).

angleHyperplaneHyperplane(Subspace, char, char, boolean) - Method in class Subspace

Calculates the angle of two hyperplanes.

angleLineAny(Subspace, char, char, boolean) - Method in class Subspace

Calculates the angle of a line and any other subspace.

angleLineHyperplane(Subspace, char, char, boolean) - Method in class Subspace

Calculates the angle of a line and a hyperplane.

angleLineLine(Subspace, char, char, boolean) - Method in class Subspace

Calculates the angle of two lines, ie. one-dimensional subspaces.

angleNormalVectorDirectionVector(Vector) - Method in class Vector

Calculates the angle of a direction vector and a normal vector of lines (the resulting angle will be from 0 to π/2).

angleNormalVectorDirectionVector(Vector, char, char, boolean) - Method in class Vector

Calculates the angle of a direction vector and a normal vector of lines (the resulting angle will be from 0 to π/2).

angleNormalVectors(Vector) - Method in class Vector

Calculates the angle of two normal vectors of lines (the resulting angle will be from 0 to π/2).

angleNormalVectors(Vector, char, char, boolean) - Method in class Vector

Calculates the angle of two normal vectors of lines (the resulting angle will be from 0 to π/2).

angleUniversal(Subspace, char, char, boolean) - Method in class Subspace

Calculates the angle of two subspaces.

B

beautifyGeneral() - Method in class Subspace

Multiplies individual equations by such numbers that their coefficients will be smallest possible integers.

beautifyParametric() - Method in class Subspace

Multiplies individual vectors by such numbers that their coefficients will be smallest possible integers.

C

checkGeneralForm() - Method in class Subspace

Checks if general form is already available; if it's not, it gets it.

checkGeneralForm(char, boolean) - Method in class Subspace

Checks if general form is already available; if it's not, it gets it.

checkParametricForm() - Method in class Subspace

Checks if parametric form is already available; if it's not, it gets it.

checkParametricForm(char, boolean) - Method in class Subspace

Checks if parametric form is already available; if it's not, it gets it.

compare(Fraction) - Method in class Fraction

Compares this fraction to another fraction.

compare(long) - Method in class Fraction

Compares this fraction with an integer.

convertToFraction() - Method in class SquareRootFraction

Converts this SquareRootFraction to a Fraction if it indeed is a rational number.

convertToSRF() - Method in class Fraction

Converts this fraction to a SquareRootFraction.

copy(Matrix) - Method in class Matrix

Copies another matrix onto this matrix.

copy(Point) - Method in class Point

Copies another point onto this point.

copy(SquareRootMatrix) - Method in class SquareRootMatrix

Copies another matrix onto this matrix.

copy(Subspace) - Method in class Subspace

Copies the subspace.

copy(Vector) - Method in class Vector

Copies another vector onto this vector.

Cyclometric - Class in <Unnamed>

This class is used to store results of angles of subspaces.

Cyclometric(SquareRootFraction, boolean) - Constructor for class Cyclometric

Constructs all information about the cyclometric function, given its principal value and type of the cyclometric function.

Cyclometric(double, boolean) - Constructor for class Cyclometric

Constructs all information about the cyclometric function, given its principal value as a double (in cases when we could not find a rational solution) and type of the cyclometric function.

D

d - Variable in class Fraction

the denominator

d - Variable in class PiFraction

denominator

d - Variable in class SquareRootFraction

denominator

deleteZeroRows() - Method in class Matrix

Deletes all zero rows in this matrix.

describe(char) - Method in class Subspace

Properly describes the subspace.

det(String, boolean) - Method in class Matrix

Computes the determinant of this matrix.

detGram(char, boolean) - Method in class Matrix

Computes Gram determinant of this matrix.

distance(Subspace) - Method in class Subspace

Calculates the distance of any two subspaces using the most efficient method.

distance(Subspace, char, char, boolean) - Method in class Subspace

Calculates the distance of any two subspaces using the most efficient method.

distanceFromParallelSubspace(Subspace, char, char, boolean) - Method in class Subspace

Calculates the distance of the subspace from a parallel subspace.

distancePointAny(Subspace, char, char, boolean) - Method in class Subspace

Calculates the distance of a point from any subspace.

distancePointHyperplane(Subspace, char, char, boolean) - Method in class Subspace

Calculates the distance of a point from a hyperplane.

distancePointPoint(Subspace, char, char, boolean) - Method in class Subspace

Calculates the distance of two points.

distanceUniversalUsingGram(Subspace, char, char, boolean) - Method in class Subspace

Calculates the distance of any two subspaces using Gram determinant.

divide(Fraction) - Method in class Fraction

Divides this fraction by another fraction.

divide(SquareRootFraction) - Method in class SquareRootFraction

Divides this SquareRootFraction by another SquareRootFraction.

F

Fraction - Class in <Unnamed>

This class introduces fractions and enables basic operations with them.

Fraction() - Constructor for class Fraction

Constructs a fraction 0/1, ie. zero.

Fraction(long, long) - Constructor for class Fraction

Constructs a fraction from its numerator and denominator.

Fraction(long) - Constructor for class Fraction

Constructs a fraction from an integer.

Fraction(double) - Constructor for class Fraction

Constructs an estimate fraction from a real number.

G

gcd(long, long) - Static method in class Utility

Calculates the greatest common divisor of two given integers using Euclid's algorithm.

generateMenu() - Method in class GUI

generatePermutation(int) - Static method in class Utility

Generates a permutation of integers 1 to n.

generateRandomGeneralSubspace(int, int) - Static method in class Subspace

Generates a random subspace in general form.

generateRandomHyperplane(int) - Static method in class Subspace

Generates a random hyperplane in general form.

generateRandomHyperplaneWithIntegerNorm(int) - Static method in class Subspace

Generates a random hyperplane in general form.

generateRandomParallelVectors(int) - Static method in class Vector

Generates two random parallel vectors of given dimension.

generateRandomParametricSubspace(int, int) - Static method in class Subspace

Generates a random subspace in parametric form.

generateRandomPerpendicularVectors(int) - Static method in class Vector

Generates two random perpendicular vectors of given dimension.

generateRandomPoint(int) - Static method in class Point

Generates a random point.

generateRandomSubspacesWithGivenAngle(int, int, int, PiFraction) - Static method in class Subspace

Generates two random subspaces in parametric form.

generateRandomSubspacesWithGivenDistance(int, int, int, Fraction) - Static method in class Subspace

Generates two random subspaces in general form.

generateRandomVectorsWithAngle30(int) - Static method in class Vector

Generates two random vectors of given dimension whose angle is π/6.

generateRandomVectorsWithAngle45(int) - Static method in class Vector

Generates two random vectors of given dimension whose angle is π/4.

generateRandomVectorsWithAngle60(int) - Static method in class Vector

Generates two random vectors of given dimension whose angle is π/3.

generateRandomVectorsWithGivenAngle(PiFraction, int) - Static method in class Vector

Generates two random vectors, while the angle of the vectors will be one of 0, π/6, π/4, π/3, or π/2.

get(int, int) - Method in class Matrix

The getter of this class - returns the value of a given element a_r,c.

get(int) - Method in class Point

The getter of this class - returns the value of a given coordinate.

get(int, int) - Method in class SquareRootMatrix

The getter of this class - returns the value of a given element a_r,c.

get(int) - Method in class Vector

The getter of this class - returns the value of a given coordinate.

getAugMatrix() - Method in class Subspace

Returns the augmented matrix of equation system generating this subspace.

getC() - Method in class Matrix

Number of columns of this Matrix.

getC() - Method in class SquareRootMatrix

Number of columns of this Matrix.

getCharPolyCoeffs() - Method in class SquareRootMatrix

Calculates coefficients of characteristic polynome of the matrix.

getConstTerms() - Method in class Matrix

Crops the matrix of constant terms of equation system, ie.

getDim() - Method in class Point

Gets the dimensions of the point.

getDim() - Method in class Subspace

Returns the dimension of the subspace.

getDim(boolean) - Method in class Subspace

Returns the dimension of the subspace.

getDim(boolean, char) - Method in class Subspace

Returns the dimension of the subspace.

getDIM() - Method in class Subspace

Returns the dimension of the whole space (number of variables).

getDim() - Method in class Vector

Gets the dimensions of the vector.

getEchelonForm() - Method in class Matrix

Converts this matrix into its echelon form.

getEchelonForm(boolean) - Method in class Matrix

Converts this matrix into its echelon form.

getEchelonForm(int) - Method in class Matrix

Converts this matrix into a semi-echelon form.

getEchelonForm(char, int, boolean) - Method in class Matrix

Converts this matrix into a semi-echelon form.

getOriginalForm() - Method in class Subspace

Makes clear if the subspace was originally input in general or in parametric form

getR() - Method in class Matrix

Number of rows of this Matrix.

getR() - Method in class SquareRootMatrix

Number of rows of this Matrix.

getSubspace(String) - Method in class InputReader

getSystemCoeffMatrix() - Method in class Matrix

Crops the matrix of equation system coefficients, ie.

getVecMatrix() - Method in class Subspace

Returns the matrix of direction vectors (in rows).

gramianMatrixForOutput(Matrix) - Method in class Matrix

Computes the Gramian matrix.

gramianMatrixProduct(Matrix) - Method in class Matrix

Computes product of Gramian matrix with its transposed self, ie.

GUI - Class in <Unnamed>

GUI() - Constructor for class GUI

I

InputReader - Class in <Unnamed>

This is the computational core of the package.

InputReader() - Constructor for class InputReader

Constructor for objects of class InputReader

intersectionDiffSpace(Subspace, char, char, boolean, boolean) - Method in class Subspace

Finds intersection of difference spaces of two subspaces.

intersects(Subspace) - Method in class Subspace

Checks, if this subspace intersects with the other.

intersects(Subspace, char, char, boolean) - Method in class Subspace

Checks, if this subspace intersects with the other.

isEqual(Fraction) - Method in class Fraction

Checks if this fraction is equal to another fraction.

isEqual(int) - Method in class Fraction

Checks if this fraction is equal to an integer.

isEqual(PiFraction) - Method in class PiFraction

Checks if this PiFraction is equal to another PiFraction.

isEqual(Point) - Method in class Point

Checks if two points are equal.

isEqual(SquareRootFraction) - Method in class SquareRootFraction

Checks if two SquareRootFractions are equal.

isEqual(Vector) - Method in class Vector

Checks if two vectors are equal.

isGeneralFormAvailable() - Method in class Subspace

Confirms if the general form is available.

isNull() - Method in class Subspace

Checks, if this subspace is a null space.

isParallel(Subspace) - Method in class Subspace

Checks, if this subspace is parallel to the other.

isParallel(Subspace, boolean) - Method in class Subspace

Checks, if this subspace is parallel to the other.

isParametricFormAvailable() - Method in class Subspace

Confirms if the parametric form is available.

isSolvable() - Method in class Matrix

Checks the solvability of this matrix.

isSolvable(boolean) - Method in class Matrix

Checks the solvability of this matrix.

isZeroVector() - Method in class Vector

Checks whether or not this vector is a zero vector.

L

lcm(long, long) - Static method in class Utility

Calculates the least common multiple of two given integers using formula lcm(a,b)=(a*b)/gcd(a,b).

length() - Method in class Vector

Computes length of this vector.

length(char, boolean) - Method in class Vector

Computes length of this vector.

M

main(String[]) - Static method in class GUI

Matrix - Class in <Unnamed>

This class introduces matrices and enables basic operations with them.

Matrix() - Constructor for class Matrix

Constructs a null matrix of dimension 0.

Matrix(int) - Constructor for class Matrix

Constructs a rectangular identity matrix of a given dimension.

Matrix(int, int) - Constructor for class Matrix

Constructs a zero matrix of given dimensions.

Matrix(Fraction[], int, int) - Constructor for class Matrix

Constructs a matrix from a field of Fractions.

mergeFromBottom(Matrix) - Method in class Matrix

Merges another matrix to this matrix from bottom.

mergeFromRight(Matrix) - Method in class Matrix

Merges another matrix to this matrix from right.

multiply(Fraction) - Method in class Fraction

Multiplies this fraction by another fraction.

multiply(long) - Method in class Fraction

Multiplies this fraction by an integer.

multiply(SquareRootFraction) - Method in class SquareRootFraction

Multiplies this SquareRootFraction by another SquareRootFraction.

multiply(Fraction) - Method in class Vector

Multiplies this vector by a scalar.

multiplyColumn(int, Fraction) - Method in class Matrix

Multiplies a column of this matrix by a given coefficient.

multiplyRow(int, Fraction) - Method in class Matrix

Multiplies a row of this matrix by a given coefficient.

N

n - Variable in class Fraction

the numerator

n - Variable in class PiFraction

numerator

n - Variable in class SquareRootFraction

whole part of the numerator

nSqrt - Variable in class SquareRootFraction

square-root-part of the numerator

O

opposite() - Method in class Vector

Finds ppposite vector to this vector.

orthogonalComponent(Matrix) - Method in class Vector

Finds the orthogonal component of the vector onto a given difference space.

orthogonalComponent(Matrix, boolean) - Method in class Vector

Finds the orthogonal component of the vector onto a given difference space.

orthogonalizeWithGramSchmidt(char, boolean) - Method in class Matrix

Orthogonalizes sequence of vectors using the Gram-Schmidt orthogonalization process.

orthogonalProjection(Matrix) - Method in class Vector

Finds the orthogonal projection of this vector onto a given difference space.

orthogonalProjection(Matrix, boolean) - Method in class Vector

Finds the orthogonal projection of this vector onto a given difference space.

orthogonalSupplement(char, boolean) - Method in class Subspace

Finds orthogonal supplement to a subspace.

P

PiFraction - Class in <Unnamed>

This class introduces fractions of π.

PiFraction(long, long) - Constructor for class PiFraction

Constructs a fraction from its numerator and denominator.

PiFraction(long) - Constructor for class PiFraction

Constructs a fraction from an integer.

Point - Class in <Unnamed>

This class introduces points and enables basic operations with them.

Point() - Constructor for class Point

Constructs a null point of dimension 0.

Point(Fraction[], int) - Constructor for class Point

Constructs a point from a field of Fractions.

Point(int) - Constructor for class Point

Constructs the origin.

Point(Point, Vector) - Constructor for class Point

Constructs a point from a point and a vector.

Point(Vector) - Constructor for class Point

Constructs a point from a vector (from the origin).

R

randBool() - Static method in class Utility

Generates a random boolean.

randInt(int, int) - Static method in class Utility

Generates a random number from interval (inclusive), while the numbers closer to the center of the interval are more probable.

randIntUniform(int, int) - Static method in class Utility

Generates a random number from interval (inclusive).

randNTuple(int, int, int) - Static method in class Utility

Generates an n-tuple of random numbers from interval (inclusive), while the numbers closer to the center of the interval are more probable.

randNTupleUniform(int, int, int) - Static method in class Utility

Generates an n-tuple of random numbers from interval (inclusive).

rank() - Method in class Matrix

Rank of the matrix.

rank(boolean) - Method in class Matrix

Rank of the matrix.

rank(char, boolean) - Method in class Matrix

Rank of the matrix.

rowsToVectors() - Method in class Matrix

Converts rows of this matrix into a field of vectors.

S

scalarProduct(Vector) - Method in class Vector

Computes scalar product of two vectors.

scalarProductNorm(Vector) - Method in class Vector

Computes scalar product of two vectors after normalizing them.

set(Fraction, int, int) - Method in class Matrix

The setter of this class - sets given element a_r,c to a given value.

set(Fraction, int) - Method in class Point

The setter of this class - sets given coordinate to a given value.

set(SquareRootFraction, int, int) - Method in class SquareRootMatrix

The setter of this class - sets given element a_r,c to a given value.

set(Fraction, int) - Method in class Vector

The setter of this class - sets given coordinate to a given value.

solve() - Method in class Matrix

Solves this matrix, or better converts it to a solved form.

solve(char, boolean) - Method in class Matrix

Solves this matrix, or better converts it to a solved form.

solve(char, boolean, boolean) - Method in class Matrix

Solves this matrix, or better converts it to a solved form.

solveOnly(char, boolean) - Method in class Matrix

Solves this matrix, or better converts it to a solved form.

square() - Method in class SquareRootFraction

Squares SquareRootFraction producing a simple fraction.

squared() - Method in class Fraction

Squares this fraction.

SquareRootFraction - Class in <Unnamed>

This class introduces all square roots of fractions (SRF) and features basic necessary operations with them.

SquareRootFraction(long, long) - Constructor for class SquareRootFraction

Constructs a SquareRootFraction from its numerator and denominator.

SquareRootFraction(Fraction) - Constructor for class SquareRootFraction

Constructs a SquareRootFraction from a Fraction.

SquareRootFraction(long) - Constructor for class SquareRootFraction

Constructs a SquareRootFraction from an integer.

SquareRootMatrix - Class in <Unnamed>

This class introduces matrices of square roots of fractions (SquareRootFraction or SRF).

SquareRootMatrix(Fraction[], int, int) - Constructor for class SquareRootMatrix

Constructs a matrix from a field of Fractions.

SquareRootMatrix(int, int) - Constructor for class SquareRootMatrix

Constructs a zero matrix of given dimensions.

SquareRootMatrix() - Constructor for class SquareRootMatrix

Constructs a null matrix of dimension 0.

submatrix(int, int, int, int) - Method in class Matrix

Crops a submatrix from this matrix.

Subspace - Class in <Unnamed>

This is the computational core of the package.

Subspace() - Constructor for class Subspace

Constructs a null subspace.

Subspace(Matrix) - Constructor for class Subspace

Constructs a subspace given in general form.

Subspace(Point[], Vector[]) - Constructor for class Subspace

Constructs a subspace given in parametric form (ie. from at least one point and potentially some vectors).

subtract(Fraction) - Method in class Fraction

Subtracts another fraction from this fraction.

subtract(Vector) - Method in class Vector

Subtracts another vector from this vector.

swapColumns(int, int) - Method in class Matrix

Swaps two columns of this matrix.

swapRows(int, int) - Method in class Matrix

Swaps two rows of this matrix.

T

texOut(String) - Static method in class Utility

Writes to tex file containing results.

textOut(String) - Static method in class Utility

Writes to text file containing results.

toDegrees() - Method in class PiFraction

Converts the angle from rads to degrees.

toMatrixColumn() - Method in class Point

Converts the point to a 1-column matrix.

toMatrixColumn() - Method in class Vector

Converts the vector to a 1-column matrix.

toMatrixRow() - Method in class Point

Converts the point to a 1-row matrix.

toMatrixRow() - Method in class Vector

Converts the vector to a 1-row matrix.

toRealMatrix() - Method in class SquareRootMatrix

Converts all elements to real numbers.

toTeX() - Method in class Cyclometric

toTeX() - Method in class Fraction

Prints this fraction formatted as TeX code.

toTeX() - Method in class Matrix

Prints this matrix formatted as TeX code.

toTeX() - Method in class PiFraction

Prints this PiFraction formatted as TeX code.

toTeX() - Method in class Point

Prints this point formatted as TeX code.

toTeX() - Method in class SquareRootFraction

Prints this SquareRootFraction formatted as TeX code.

toTeX() - Method in class SquareRootMatrix

Prints this matrix formatted as TeX code.

toTeX() - Method in class Vector

Prints this vector formatted as TeX code.

toTeXGeneral() - Method in class Subspace

Prints general form of this subspace formatted as TeX code.

toTeXGeneral(char) - Method in class Subspace

Prints general form of this subspace formatted as TeX code.

toTeXParametric() - Method in class Subspace

Prints parametric form of this subspace formatted as TeX code.

toText() - Method in class Cyclometric

toText() - Method in class Fraction

Prints this fraction formatted as text.

toText() - Method in class Matrix

Prints this matrix formatted as text.

toText() - Method in class PiFraction

Prints this PiFraction formatted as text.

toText() - Method in class Point

Prints this point formatted as text.

toText() - Method in class SquareRootFraction

Prints this SquareRootFraction formatted as text.

toText() - Method in class SquareRootMatrix

Prints this matrix formatted as text.

toText() - Method in class Vector

Prints this vector formatted as text.

toTextGeneral() - Method in class Subspace

Prints general form of this subspace formatted as text.

toTextGeneral(boolean) - Method in class Subspace

Prints general form of this subspace formatted as text.

toTextGeneral(boolean, char) - Method in class Subspace

Prints general form of this subspace formatted as text.

toTextParametric() - Method in class Subspace

Prints parametric form of this subspace formatted as text.

toTextParametric(boolean) - Method in class Subspace

Prints parametric form of this subspace formatted as text.

transpose() - Method in class Matrix

Transposes this matrix.

U

Utility - Class in <Unnamed>

V

Vector - Class in <Unnamed>

This class introduces vectors and enables basic operations with them.

Vector() - Constructor for class Vector

Constructs a null vector of dimension 0.

Vector(Fraction[], int) - Constructor for class Vector

Constructs a vector from a field of Fractions.

Vector(int) - Constructor for class Vector

Constructs a zero vector of a given dimension.

Vector(Point, Point) - Constructor for class Vector

Constructs a vector from two given points.

Vector(Point) - Constructor for class Vector

Constructs a vector from a point (initial point will be the origin).

A B C D F G I L M N O P R S T U V