Module maths - Mathematical functions and constants

Mathematical functions and constants.

Index

Declarations

sinfl.occ:33Function SIN

REAL32 FUNCTION SIN (VAL REAL32 X)

Single-precision sine.

Parameters:

VAL REAL32 X Angle in radians

Returns:

REAL32 Sine of X

dsinfl.occ:33Function DSIN

REAL64 FUNCTION DSIN (VAL REAL64 X)

Double-precision sine.

Parameters:

VAL REAL64 X Angle in radians

Returns:

REAL64 Sine of X

dexpfl.occ:31Function DEXP

REAL64 FUNCTION DEXP (VAL REAL64 X)

Double-precision exponent.

Parameters:

VAL REAL64 X Input value

Returns:

REAL64 e raised to the power X

datanfl.occ:49Function DATAN

REAL64 FUNCTION DATAN (VAL REAL64 X)

Double-precision arctangent.

Parameters:

VAL REAL64 X Input value

Returns:

REAL64 Arctangent of X

datanfl.occ:147Function DATAN2

REAL64 FUNCTION DATAN2 (VAL REAL64 U, V)

Double-precision divide and arctangent.

See ATAN2 for more details.

Parameters:

VAL REAL64 U, V Input values

Returns:

REAL64 Arctangent of U / V

tanfl.occ:33Function TAN

REAL32 FUNCTION TAN (VAL REAL32 X)

Single-precision tangent.

Parameters:

VAL REAL32 X Angle in radians

Returns:

REAL32 Tangent of X

dhyperfl.occ:79Function DSINH

REAL64 FUNCTION DSINH (VAL REAL64 X)

Double-precision hyperbolic sine.

Parameters:

VAL REAL64 X Hyperbolic angle

Returns:

REAL64 Hyperbolic sine of X

dhyperfl.occ:134Function DCOSH

REAL64 FUNCTION DCOSH (VAL REAL64 X)

Double-precision hyperbolic cosine.

Parameters:

VAL REAL64 X Hyperbolic angle

Returns:

REAL64 Hyperbolic cosine of X

dhyperfl.occ:165Function DTANH

REAL64 FUNCTION DTANH (VAL REAL64 X)

Double-precision hyperbolic tangent.

Parameters:

VAL REAL64 X Hyperbolic angle

Returns:

REAL64 Hyperbolic tangent of X

hyperfl.occ:76Function SINH

REAL32 FUNCTION SINH (VAL REAL32 X)

Single-precision hyperbolic sine.

Parameters:

VAL REAL32 X Hyperbolic angle

Returns:

REAL32 Hyperbolic sine of X

hyperfl.occ:127Function COSH

REAL32 FUNCTION COSH (VAL REAL32 X)

Single-precision hyperbolic cosine.

Parameters:

VAL REAL32 X Hyperbolic angle

Returns:

REAL32 Hyperbolic cosine of X

hyperfl.occ:158Function TANH

REAL32 FUNCTION TANH (VAL REAL32 X)

Single-precision hyperbolic tangent.

Parameters:

VAL REAL32 X Hyperbolic angle

Returns:

REAL32 Hyperbolic tangent of X

expfl.occ:31Function EXP

REAL32 FUNCTION EXP (VAL REAL32 X)

Single-precision exponent.

Parameters:

VAL REAL32 X Input value

Returns:

REAL32 e raised to the power X

acosfl.occ:31Function ACOS

REAL32 FUNCTION ACOS (VAL REAL32 X)

Single-precision arccosine.

Parameters:

VAL REAL32 X Input value in the range [-1.0, 1.0]

Returns:

REAL32 Arccosine of X in radians

dalogfl.occ:36Function DALOG

REAL64 FUNCTION DALOG (VAL REAL64 X)

Double-precision natural logarithm.

Parameters:

VAL REAL64 X Input value

Returns:

REAL64 Natural logarithm of X

dalogfl.occ:96Function DALOG10

REAL64 FUNCTION DALOG10 (VAL REAL64 X)

Double-precision base-10 logarithm.

Parameters:

VAL REAL64 X Input value

Returns:

REAL64 Base-10 logarithm of X

dacosfl.occ:31Function DACOS

REAL64 FUNCTION DACOS (VAL REAL64 X)

Double-precision arccosine.

Parameters:

VAL REAL64 X Input value in the range [-1.0, 1.0]

Returns:

REAL64 Arccosine of X in radians

dcosfl.occ:33Function DCOS

REAL64 FUNCTION DCOS (VAL REAL64 X)

Double-precision cosine.

Parameters:

VAL REAL64 X Angle in radians

Returns:

REAL64 Cosine of X

dpowfl.occ:32Function DPOWER

REAL64 FUNCTION DPOWER (VAL REAL64 Base.r, Expn.r)

Double-precision power.

Parameters:

VAL REAL64 Base.r Base
VAL REAL64 Expn.r Exponent

Returns:

REAL64 Base.r raised to the power Expn.r

alogfl.occ:36Function ALOG

REAL32 FUNCTION ALOG (VAL REAL32 X)

Single-precision natural logarithm.

Parameters:

VAL REAL32 X Input value

Returns:

REAL32 Natural logarithm of X

alogfl.occ:88Function ALOG10

REAL32 FUNCTION ALOG10 (VAL REAL32 X)

Single-precision base-10 logarithm.

Parameters:

VAL REAL32 X Input value

Returns:

REAL32 Base-10 logarithm of X

dranfl.occ:31Function DRAN

REAL64, INT64 FUNCTION DRAN (VAL INT64 DSeedIn)

Double-precision pseudo-random number generator.

Parameters:

VAL INT64 DSeedIn Input seed value

Returns:

REAL64 Pseudo-random value in the range [0.0, 1.0)
INT64 Output seed value

dasinfl.occ:31Function DASIN

REAL64 FUNCTION DASIN (VAL REAL64 X)

Double-precision arcsine.

Parameters:

VAL REAL64 X Input value in the range [-1.0, 1.0]

Returns:

REAL64 Arcsine of X in radians

cosfl.occ:33Function COS

REAL32 FUNCTION COS (VAL REAL32 X)

Single-precision cosine.

Parameters:

VAL REAL32 X Angle in radians

Returns:

REAL32 Cosine of X

ranfl.occ:31Function RAN

REAL32, INT32 FUNCTION RAN (VAL INT32 SeedRan)

Single-precision pseudo-random number generator.

Parameters:

VAL INT32 SeedRan Input seed value

Returns:

REAL32 Pseudo-random value in the range [0.0, 1.0)
INT32 Output seed value

mathvals.inc:33Constant E

VAL REAL32 E

Single-precision e.

mathvals.inc:35Constant PI

VAL REAL32 PI

Single-precision pi.

mathvals.inc:56Constant DE

VAL REAL64 DE

Double-precision e.

mathvals.inc:58Constant DPI

VAL REAL64 DPI

Double-precision pi.

powfl.occ:32Function POWER

REAL32 FUNCTION POWER (VAL REAL32 Base.r, Expn.r)

Single-precision power.

Parameters:

VAL REAL32 Base.r Base
VAL REAL32 Expn.r Exponent

Returns:

REAL32 Base.r raised to the power Expn.r

atanfl.occ:50Function ATAN

REAL32 FUNCTION ATAN (VAL REAL32 X)

Single-precision arctangent.

Parameters:

VAL REAL32 X Input value

Returns:

REAL32 Arctangent of X

atanfl.occ:146Function ATAN2

REAL32 FUNCTION ATAN2 (VAL REAL32 U, V)

Single-precision divide and arctangent.

This can be used to convert a 2D coordinate to a polar angle. It is more accurate than doing the equivalent division and call to ATAN.

Parameters:

VAL REAL32 U, V Input values

Returns:

REAL32 Arctangent of U / V

asinfl.occ:31Function ASIN

REAL32 FUNCTION ASIN (VAL REAL32 X)

Single-precision arcsine.

Parameters:

VAL REAL32 X Input value in the range [-1.0, 1.0]

Returns:

REAL32 Arcsine of X in radians

dtanfl.occ:33Function DTAN

REAL64 FUNCTION DTAN (VAL REAL64 X)

Double-precision tangent.

Parameters:

VAL REAL64 X Angle in radians

Returns:

REAL64 Tangent of X