Transformations

These functions transform each value of numerical structures:


EXP
Exponential

LOG
Natural logarithm

LOG10
Logarithm base 10

SQRT
Square root


SIN
Sine

SINH
Hypobolic sine

ARCSIN
Inverse sine (synonym ASIN)

COS
Cosine

COSH
Hypobolic cosine

ARCCOS
Inverse cosine (synonym ACOS)

TAN
Tangent

TANH
Hypobolic tangent

ARCTAN
Inverse tangent (synonym ATAN)

ANGLE
Inverse tangent from opposite and adjacent sides

DEGREES
Converts from radians to degrees

RADIANS
Converts from degrees to radians


ANGULAR
Angular transform

IANGULAR
Inverse angular

LOGIT
Logit

ILOGIT
Inverse logit

CLOGLOG
Complementary log-log

ICLOGLOG
Inverse complementary log-log


SSPLINE
Fitted values from a smoothing-spline


ABS
Absolute value

SIGN
Sign

MODULO
Modulus

INTEGER
Integer part

FRACTION
Fractional part

ROUND
Nearest integer

CEILING
Ceiling (least integer greater or equal)

FLOOR
Floor (largest integer less or equal)

BOUND
Sets out-of-range values to specified upper or lower bounds


CUMULATE
Cumulative sums

DIFFERENCE
Differences

SORT
Ordered values

REVERSE
Reversed series

SHIFT
Shift a series

CIRCULATE
Circulate a series


MVINSERT
Missing values inserted at specified positions

MVREPLACE
Missing values replaced by specified values

NEWLEVELS
Factor levels replaced by specified values

POSITION
Locate position within a vector


FACTORIAL
Factorial

LNFACTORIAL
Log of factorial

NCOMBINATIONS
Number of combinations

NPERMUTATIONS
Number of permutations


BJ0
Bessel function J0

BJ1
Bessel function J1

BI0
Modified Bessel function I0

BI1
Modified Bessel function I1

BETA
Beta function

GAMMA
Gamma function

DIGAMMA
Digamma function

TRIGAMMA
Trigamma function

LNGAMMA
Log-gamma function