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Scilab Help >> Elementary Functions

Elementary Functions

  • Bitwise operations
    • bitandbitwise logical AND between element-wise integers of 2 arrays
    • bitcmpbitwise complement
    • bitgetbit at specified position
    • bitorbitwise logical OR between element-wise integers of 2 arrays
    • bitsetset bit at specified position
    • bitxorbitwise logical XOR between element-wise integers of 2 arrays
  • Complex
    • complexCreate a complex number.
    • conjComplex conjugate
    • imagimaginary part of complex numbers, polynomials, or rationals
    • imultmultiplication by i the imaginary unitary
    • isrealcheck if a variable is stored as a complex matrix
    • realreal part of complex numbers, polynomials, or rationals
  • Discrete mathematics
    • factorfactor function
    • factorialThe factorial function
    • gcdGreatest Common Divisor
    • lcmleast common multiple
    • permsall permutations of vector components
    • primesprimes function
    • ratFloating point rational approximation
  • Matrix generation
    • diagdiagonal including or extracting
    • empty([]) empty matrix
    • eyeidentity matrix
    • linspacegenerates linearly spaced numbers between 2 reached bounds
    • logspacelogarithmically spaced vector
    • meshgridcreate matrices or 3-D arrays
    • ndgridbuild matrices or N-D arrays by replicating some template vectors
    • onesmatrix made of ones
    • randRandom numbers
    • repmatReplicate and tile an array
    • squarewavegenerates a square wave with period 2*%pi
    • testmatrixgenerate special matrices, such as Hilbert, Franck
    • toeplitzToeplitz matrix
    • zerosmatrix made of zeros
  • Log - exp - power
    • expelement-wise exponential
    • expmsquare matrix exponential
    • lognatural logarithm
    • log10base 10 logarithm
    • log1pcomputes with accuracy the natural logarithm of its argument added by one
    • log2base 2 logarithm
    • logmsquare matrix logarithm
    • nthrootReal nth root of real numbers
    • polarpolar form
    • power(^,.^) power operation
    • sqrtsquare root
    • sqrtmmatrix square root
  • Floating point
    • ceilround up
    • cleancleans matrices (round to zero small entries)
    • doubleconverts inttype integers or booleans into decimal encoding
    • fixround towards zero
    • floorround down
    • formatset the default output format of decimal numbers
    • frexpdissect floating-point numbers into base 2 exponent and mantissa
    • ieeeset floating point exception mode
    • intround towards zero
    • isinftests for infinite elements
    • isnancheck for "Not a Number" entries
    • nearfloatget previous or next floating-point number
    • nextpow2next higher power of 2.
    • number_propertiesdetermine floating-point parameters
    • roundround to nearest integer
  • Radix conversions
    • base2decconvert from base b to decimal
    • bin2decconvert from binary to decimal
    • dec2baseConvert decimal to base N number in string
    • dec2binconvert from decimal to binary
    • dec2hexconvert from decimal to hexadecimal
    • dec2octconvert from decimal to octal
    • hex2decconvert from hexadecimal to decimal
    • oct2decconvert from octal to decimal
  • Matrix - shaping
    • flipdimreverses the order of (blocks of) rows, columns, pages.. of a matrix or hypermatrix
    • matrixreshape a vector or a matrix to a different size matrix
    • permutepermutes the dimensions of an array
    • pertransTransposition with reference to the 2nd diagonal
    • resize_matrixtrim or/and extend (and cast) a matrix or hypermatrix
    • squeezeremoves singleton dimensions of a hypermatrix
  • Matrix operations
    • absabsolute value, magnitude
    • andlogical AND between the elements of a boolean or numerical array
    • crossvector cross product
    • cumprodcumulative product of array elements
    • cumsumcumulative sum of array elements
    • kronKronecker product (.*.)
    • maxmaximum
    • minminimum
    • normmatrix norm
    • orlogical OR over the elements of a boolean or numerical array
    • prodproduct of array elements
    • signsignum function
    • signmmatrix signum function
    • sumsum of array elements
    • trillower triangular part of matrix
    • triuupper triangle
    • unwrapunwrap a Y(x) profile or a Z(x,y) surface. Unfold a Y(x) profile
  • Search and sort
    • dsearchdistribute, locate and count elements of a matrix or hypermatrix in given categories
    • findfind indices of boolean vector or matrix true elements
    • gsortsorting by quick sort algorithm
    • memberscount (and locate) in an array each element or row or column of another array
    • vectorfindfinds in a matrix rows or columns matching a vector
  • Set operations
    • intersectreturns the vector of common values of two vectors
    • setdiffreturns components of a vector which do not belong to another one
    • unionextract union components of a vector
    • uniqueremove all duplicate components of a vector or a matrix
  • Signal processing
    • bloc2ssblock-diagram to state-space conversion
    • pen2eapencil to E,A conversion
    • ssrandrandom system generator
    • sysconvsystem conversion
    • sysdiagCreate a block diagonal matrix from provided inputs or block diagonal system connection
    • trfmodpoles and zeros display
  • Trigonometry
    • acoselement wise cosine inverse (radians)
    • acosdelement wise cosine inverse, result in degree.
    • acoshhyperbolic cosine inverse
    • acoshmmatrix hyperbolic inverse cosine
    • acosmmatrix wise cosine inverse
    • acotcomputes the element-wise inverse cotangent of the argument.
    • acotdcomputes the element-wise inverse cotangent of the argument, result in degree.
    • acothelement wise hyperbolic cotangent inverse.
    • acsccomputes the element-wise inverse cosecant of the argument.
    • acscdcomputes the element-wise inverse cosecant of the argument, results in degree.
    • acschcomputes the element-wise inverse hyperbolic cosecant of the argument.
    • aseccomputes the element-wise inverse secant of the argument.
    • asecdcomputes the element-wise inverse secant of the argument, results in degree.
    • asechcomputes the element-wise inverse hyperbolic secant of the argument.
    • asinsine inverse (radians)
    • asindsine inverse, results in degree
    • asinhhyperbolic sine inverse
    • asinhmmatrix hyperbolic inverse sine
    • asinmmatrix wise sine inverse
    • atan2-quadrant and 4-quadrant inverse tangent
    • atand2-quadrant and 4-quadrant element-wise inverse tangent, result in degree
    • atanhhyperbolic tangent inverse
    • atanhmmatrix hyperbolic tangent inverse
    • atanmsquare matrix tangent inverse
    • coscosine function
    • cosdelement-wise cosine function, argument in degree
    • coshhyperbolic cosine
    • coshmmatrix hyperbolic cosine
    • cosmmatrix cosine function
    • cotdelement-wise cotangent function, argument in degree
    • cotgcotangent
    • cothhyperbolic cotangent
    • cothmmatrix hyperbolic cotangent
    • cscсomputes the element-wise cosecant of the argument
    • cscdсomputes the element-wise cosecant of the argument given in degree
    • cschComputes the element-wise hyperbolic cosecant of the argument.
    • csgnreturns the sign of a vector of real of complex values
    • seccomputes the element-wise secant of the argument
    • secdcomputes the element-wise secant of the argument given in degree
    • sechcomputes the element-wise hyperbolic secant of the argument
    • sinsine function
    • sincsinc function
    • sindsine function, argument in degree.
    • sinhhyperbolic sine
    • sinhmmatrix hyperbolic sine
    • sinmmatrix sine function
    • tantangent
    • tandtangent, argument in degree.
    • tanhhyperbolic tangent
    • tanhmmatrix hyperbolic tangent
    • tanmmatrix tangent
  • &, &&Binary AND between integers. Logical AND over/between booleans and numbers
  • catconcatenate several arrays
  • ind2sublinear index to matrix subscript values
  • iscolumncheck if a variable is a column
  • isemptycheck if a variable is an empty matrix or an empty list
  • isequalbitwisecomparison of objects (NaN are equal)
  • ismatrixchecks if an object is a non-empty 1D or 2D matrix or array
  • isrowcheck if a variable is a row
  • isscalarcheck if a variable is a scalar.
  • issquarecheck if a variable is a square matrix
  • isvectorcheck if a variable is a vector
  • pmodulopositive euclidian remainder modulo m
  • ndimsnumber of dimensions of an array
  • |, ||Binary OR between integers. Logical OR over/between booleans and numbers
  • sizesize of objects
  • sub2indmatrix subscript values to linear index
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