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Basic

Box

Icon Name Description / Applications Modules
BoxCenter

Returns center of a box.

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BoxCharacteristicPoint

Returns a characteristic point (e.g. the top-left) of a box.

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BoxCharacteristicPoints

Computes the characteristic points of the box.

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BoxesBoundingBox

Computes the bounding box of given boxes.

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BoxesBoundingBox_OrNil

Computes the bounding box of given boxes; returns NIL if the array is empty.

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BoxIntersection

Computes the common part of two boxes.

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BoxToBoxDistance

Computes minimal distance between one of the points of the first box with one of the points of the second box.

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CreateBox

Creates a box.

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DilateBox

Performs a morphological dilation on a box using box kernel.

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ErodeBox

Performs a morphological erosion on a box using box kernel.

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RemoveEmptyBoxes

The input boxes which have both dimensions different from zero are copied to the output.


Secures against domain errors caused by empty boxes.

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ResizeBox

Changes the dimensions of a box.

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ResizeBox_Delta

Changes the dimensions of a box by adding some values.

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ResizeBox_Relative

Resizes a box to relatively defined dimensions.

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SkipEmptyBox

If the input box has both dimensions different from zero, then it is copied to the output; otherwise Nil is returned.


Secures against domain errors caused by empty boxes.

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SplitBox

Splits a box into two along a direction.

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TestBoxEmpty

Tests whether the box is empty.

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TestBoxEqualTo

Tests whether given boxes are equal.

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TestBoxInBox

Tests whether a box is contained in another one.

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TestBoxIntersectsWith

Tests whether two boxes have non-empty intersection.

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TestBoxNotEmpty

Tests whether the box is not empty.

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TranslateBox

Shifts a box by a discreet vector.

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Common

Icon Name Description / Applications Modules
CopyObject

Creates a copy of the input data.


Use this filter to create a source of data, e.g. that needs to be send to HMI or used in several places of a macrofilter.

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TestObjectEqualTo

Checks whether the input object is equal to another object.

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TestObjectNil

Produces 'True' if the input object is NOT present or 'False' otherwise.

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TestObjectNotNil

Produces 'True' if the input object is present or 'False' otherwise.

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TestObjectUnequalTo

Checks whether the input object is not equal to another object.

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Format

Icon Name Description / Applications Modules
FormatLocationToString

Converts a location to a string of format "(X, Y)".

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FormatPoint2DToString

Converts a 2D point to a string of format "(X, Y)".

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FormatPoint3DToString

Converts a 3D point to a string of format "(X, Y, Z)".

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Integer

Icon Name Description / Applications Modules
AbsoluteInteger

Computes the absolute value of a number.

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AverageIntegers

Returns the average of two numbers.

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AverageIntegers_OfArray

Returns the average value of integers.

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AverageIntegers_OfArray_OrNil

Returns the average value of integers; returns NIL if the array is empty.

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AverageIntegers_OfLoop

Returns the average of the numbers appearing in consecutive iterations.

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AverageLongIntegers

Returns the average of two Long numbers.

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AverageLongIntegers_OfArray

Returns the average value of Long integers.

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AverageLongIntegers_OfArray_OrNil

Returns the average value of Long integers; returns NIL if the array is empty.

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AverageLongIntegers_OfLoop

Returns the average of the Long numbers appearing in consecutive iterations.

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ClampInteger

Returns a value as close as possible to inValue, but in the specified range.

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ClampLongInteger

Returns a value as close as possible to inValue, but in the specified range.

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ConvertBinaryDigitsToInteger

Converts binary digits to integer using least significant bit order.

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ConvertBinaryDigitsToLongInteger

Converts binary digits to LongInteger using least significant bit order.

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ConvertIntegerToBinaryDigits

Converts integer to binary digits using least significant bit order.

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ConvertLongIntegerToBinaryDigits

Converts LongInteger to binary digits using least significant bit order.

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CreateIntegerSequence

Creates an arithmetic sequence of integer numbers.

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DivideIntegers

Computes the quotient of two numbers.

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DivideLongIntegers

Computes the quotient of two numbers.

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IntegerDifference

Computes the absolute value of two numbers difference.

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LerpIntegers

Linearly interpolates between two integers.

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LongDifference

Computes the absolute value of two Long numbers difference.

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MaximumInteger

Returns the higher of two numbers.

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MaximumInteger_OfArray

Returns the greatest value in an array of integer numbers.

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MaximumInteger_OfArray_OrNil

Returns the greatest value in an array of integer numbers; returns NIL if the array is empty.

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MaximumInteger_OfLoop

Returns the greatest of numbers appearing in consecutive iterations.

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MaximumLongIntegers

Returns the higher of two Long Integer numbers.

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MaximumLongIntegers_OfArray

Returns the greatest value in an array of Long Integer numbers.

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MaximumLongIntegers_OfArray_OrNil

Returns the greatest value in an array of Long Integer numbers; returns NIL if the array is empty.

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MaximumLongIntegers_OfLoop

Returns the greatest of Long Integer numbers appearing in consecutive iterations.

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MinimumInteger

Returns the lower of two numbers.

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MinimumInteger_OfArray

Returns the smallest value in an array of Long Integer numbers.

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MinimumInteger_OfArray_OrNil

Returns the smallest value in an array of Long Integer numbers; returns NIL if the array is empty.

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MinimumInteger_OfLoop

Returns the smallest of numbers appearing in consecutive iterations.

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MinimumLongIntegers

Returns the lower of two Long Integer numbers.

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MinimumLongIntegers_OfArray

Returns the smallest value in an array of Long Integer numbers.

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MinimumLongIntegers_OfArray_OrNil

Returns the smallest value in an array of Long Integer numbers; returns NIL if the array is empty.

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MinimumLongIntegers_OfLoop

Returns the smallest of Long Integer numbers appearing in consecutive iterations.

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Modulo

Computes remainder of integer division of two numbers.

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NegateInteger

Computes the negation of a number.

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ParseInteger

Returns the integer number represented by a string.

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ParseLongInteger

Returns the long integer number represented by a string.

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SubtractIntegers

Computes the difference of two numbers.

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SubtractLongIntegers

Computes the difference of two Long numbers.

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TestIntegerEqualTo

Checks whether two integers are equal.

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TestIntegerGreaterOrEqual

Compares two integers with the >= operator.

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TestIntegerGreaterThan

Compares two integers with the > operator.

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TestIntegerInRange

Checks whether an integers is in the specified range.

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TestIntegerLessOrEqual

Compares two integers with the <= operator.

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TestIntegerLessThan

Compares two integers with the < operator.

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TestIntegerUnequalTo

Checks whether two integers are unequal.

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TestLongIntegerEqualTo

Checks whether two Long integers are equal.

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TestLongIntegerGreaterOrEqual

Compares two Long integers with the >= operator.

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TestLongIntegerGreaterThan

Compares two Long integers with the > operator.

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TestLongIntegerInRange

Checks whether Long integers is in the specified range.

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TestLongIntegerLessOrEqual

Compares two Long integers with the <= operator.

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TestLongIntegerLessThan

Compares two Long integers with the < operator.

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TestLongIntegerUnequalTo

Checks whether two Long integers are unequal.

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Location

Icon Name Description / Applications Modules
LocationCenter

Returns the center point of a pixel indicated by the provided location.

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TranslateLocation

Shifts a Location by a given number of pixels along each axis.

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Logic

Icon Name Description / Applications Modules
Iff

Returns True if (and only if) the input arguments are both True or both False.

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Not

Returns True if (and only if) the input argument is False.

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NotAnd

Returns True if (and only if) at least one of the arguments is False.

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NotOr

Returns True if (and only if) both arguments are False.

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Math

Icon Name Description / Applications Modules
Ceil

Computes the ceil of a number.

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Cosine

Computes the cosine of an angle.

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Cotangent

Computes the cotangent of an angle.

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Floor

Computes the floor of a number.

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Logarithm

Computes the logarithm of a number in a given base.

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Power

Computes the power of a number.

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Round

Computes rounded value of a number.

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Signum

Computes the sign of a number.

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Sine

Computes the sine of an angle.

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SquareRoot

Computes the square root of a number.

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Tangent

Computes the tangent of an angle.

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Matrix

Icon Name Description / Applications Modules
AccessMatrix

Returns matrix dimensions and its elements row-by-row as a real array.

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AddMatrices

Adds two matrices element by element.

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CombineMatrices

Combines two matrices horizontally.

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ConcatenateMatrices

Combines two matrices horizontally.

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CreateIdentityMatrix

Creates a square matrix with ones on the main diagonal, and zeros elsewhere.

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CreateUniformMatrix

Creates a matrix with the specified dimensions and filled with a uniform element value.

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GetMatrixColumn

Gets the values from a single column of a matrix.

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GetMatrixElement

Gets the value of a single element of a matrix.

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GetMatrixRow

Gets the values from a single row of a matrix.

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InvertMatrix

Finds the inverse of a square matrix.

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MakeMatrix

Creates a matrix of specified dimensions with initial elements given row-by-row.

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MatrixToRealArrayArray

Converts a matrix to an array of its rows.

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MultiplyMatrices

Multiplies two matrices element by element.

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MultiplyMatrixByReal

Multiplies all elements of a matrix by a value.

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SetMatrixColumn

Sets elements of a matrix column.

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SetMatrixElement

Sets a single element of a matrix.

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SetMatrixRow

Sets elements of a matrix row.

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SkipEmptyMatrix

If the input matrix dimensions are non-zero, then the matrix is copied to the output; otherwise Nil value is returned.


Secures against domain errors caused by empty matrices.

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StackMatrices

Combines two matrices vertically.

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SubtractMatrices

Subtracts two matrices element by element.

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TransposeMatrix

Swaps rows with columns in a matrix.

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Random

Icon Name Description / Applications Modules
CreateRandomArray

Creates array with random values.

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CreateRandomMatrix

Creates matrix with random values in closed interval.

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RandomInteger

Creates random integer value in given closed interval.

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RandomReal

Creates random real value in given closed interval.

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ShuffleArray

Creates an array by setting input array values in the random positions.

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Real

Icon Name Description / Applications Modules
AbsoluteReal

Computes the absolute value of a number.

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AverageDoubles

Returns the average of two doubles.

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AverageDoubles_OfArray

Returns the average value of doubles.

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AverageDoubles_OfArray_OrNil

Returns the average value of doubles; returns NIL if the array is empty.

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AverageDoubles_OfLoop

Returns the average of numbers appearing in consecutive iterations.

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AverageReals

Returns the average of two numbers.

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AverageReals_OfArray

Returns the average value of reals.

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AverageReals_OfArray_OrNil

Returns the average value of reals; returns NIL if the array is empty.

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AverageReals_OfLoop

Returns the average of numbers appearing in consecutive iterations.

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ClampDouble

Returns a value as close as possible to inValue, but in the specified range.

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ClampReal

Returns a value as close as possible to inValue, but in the specified range.

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CreateRealSequence

Creates an arithmetic sequence of real numbers.

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DivideDoubles

Computes the quotient of two numbers.

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DivideReals

Computes the quotient of two numbers.

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DoubleDifference

Computes the absolute value of two doubles difference.

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LerpReals

Linearly interpolates between two reals.

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MaximumDouble_OfArray

Returns the greatest value in an array of double numbers.

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MaximumDouble_OfArray_OrNil

Returns the greatest value in an array of double numbers; returns NIL if the array is empty.

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MaximumDouble_OfLoop

Returns the greatest of numbers appearing in consecutive iterations.

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MaximumReal

Returns the higher of two numbers.

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MaximumReal_OfArray

Returns the greatest value in an array of real numbers.

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MaximumReal_OfArray_OrNil

Returns the greatest value in an array of real numbers; returns NIL if the array is empty.

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MaximumReal_OfLoop

Returns the greatest of numbers appearing in consecutive iterations.

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MinimumDouble_OfArray

Returns the smallest value in an array of double numbers.

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MinimumDouble_OfArray_OrNil

Returns the smallest value in an array of double numbers; returns NIL if the array is empty.

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MinimumDouble_OfLoop

Returns the smallest of numbers appearing in consecutive iterations.

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MinimumReal

Returns the lower of two numbers.

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MinimumReal_OfArray

Returns the smallest value in an array of real numbers.

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MinimumReal_OfArray_OrNil

Returns the smallest value in an array of real numbers; returns NIL if the array is empty.

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MinimumReal_OfLoop

Returns the smallest of numbers appearing in consecutive iterations.

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NegateReal

Computes the negation of a number.

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ParseDouble

Returns the double number represented by a string.

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ParseReal

Returns the real number represented by a string.

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RealDifference

Computes the absolute value of two numbers difference.

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SubtractDoubles

Computes the difference of two doubles.

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SubtractReals

Computes the difference of two numbers.

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TestDoubleEqualTo

Checks whether two doubles are equal.

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TestDoubleGreaterOrEqual

Compares two doubles with the >= operator.

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TestDoubleGreaterThan

Compares two doubles with the > operator.

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TestDoubleInRange

Checks whether a double value is in the specified range.

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TestDoubleLessOrEqual

Compares two doubles with the <= operator.

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TestDoubleLessThan

Compares two doubles with the < operator.

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TestDoubleUnequalTo

Checks whether two doubles are unequal.

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TestRealEqualTo

Checks whether two reals are equal.

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TestRealGreaterOrEqual

Compares two reals with the >= operator.

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TestRealGreaterThan

Compares two reals with the > operator.

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TestRealInRange

Checks whether a real value is in the specified range.

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TestRealLessOrEqual

Compares two reals with the <= operator.

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TestRealLessThan

Compares two reals with the < operator.

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TestRealUnequalTo

Checks whether two reals are unequal.

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Statistics

Icon Name Description / Applications Modules
AccessLinearFunction

Returns coefficients of a linear function.

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Average

Computes the average of an array of real numbers. The array must be not empty.

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MakeLinearFunction

Creates a linear function with given coefficients.

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Median

Computes the median of an array of real numbers. The array must be not empty. Optional weights, when supplied, must be positive.

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NthValue

Computes n-th smallest value in an array (0-indexed). The array must be not empty.

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PearsonCorrelation

Computes Pearson product-moment correlation coefficient. The array must be not empty.

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Quantile

Computes the specified quantile of an array of real numbers. The array must be not empty.

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StandardDeviation

Computes the standard deviation of an array of real numbers. The array must be not empty.

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Variance

Computes the variance of an array of real numbers. The array must be not empty.

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String

Icon Name Description / Applications Modules
ConcatenateStrings_OfArray

Joins multiple strings into a single one.

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EraseString

Removes a part of a string.

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FindInString

Finds first occurrence of a substring in the input string.

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FindLastInString

Finds last occurrence of a substring in the input string.

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FormatDoubleToString

Creates a string from a double number using a proper format.


Useful for preparing a number for display or communication with specific number of fractional digits, sign etc.

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FormatIntegerToString

Creates a string from an integer number using a proper format.


Useful for preparing a number for display or communication with specific number of digits, sign etc.

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FormatRealToString

Creates a string from a real number using a proper format.


Useful for preparing a number for display or communication with specific number of fractional digits, sign etc.

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FormatString

Creates a string according to the given format and data.

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InsertToString

Inserts a string into another one at the given position.

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LoadText

Loads a text from a file.

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LoadTextLines

Loads text lines from a file.

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NumericCodesToString

Converts an integer array of character codes (UTF-16) into a string.

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PadString

Extends a string if it is too short.

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RegexReplaceInString

Replaces all matching occurrences of the pattern with a replacement string.

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RegexSearchInString

Finds all occurrences of the pattern in the input string.

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ReplaceInString

Replaces all occurrences of the searched string with a replacement string.

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SaveText

Saves a text to a file.

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SaveTextLines

Saves text lines to a file.

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SkipEmptyString

If the input string has at least one character, it is copied to the output; otherwise NIL is returned.


Used before operations that given an empty string would raise a domain error.

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SplitString

Divides the input string into an array of strings using the specified delimiters.

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SplitStringIntoCharacters

Splits the input string into individual characters.

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StringLength

Returns the number of characters in a string.

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StringToLowerCase

Makes a string lowercase.

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StringToNumericCodes

Converts string to an integer array of character codes (UTF-16).

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StringToUpperCase

Makes a string uppercase.

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Substring

Creates a string from a fragment of the input string.

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TestStringEarlierThan

Checks whether the input string is earlier alphabetically than a reference string.

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TestStringEmpty

Tests whether the length of a string equals zero.

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TestStringEqualTo

Compares two strings character by character.

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TestStringUnequalTo

Compares two strings character by character.

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Unit Conversions

Icon Name Description / Applications Modules
DegreesToRadians

Converts degrees to radians.

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MillimetresToPixels

Converts a length in millimetres to pixels using the given scale [px / mm].

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PixelsToMillimetres

Converts a length in pixels to millimetres using the given scale [px / mm].

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RadiansToDegrees

Converts radians to degrees.

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