.Modelica.Blocks.Math

Information

This package contains basic mathematical operations, such as summation and multiplication, and basic mathematical functions, such as sqrt and sin, as input/output blocks. All blocks of this library can be either connected with continuous blocks or with sampled-data blocks.

Contents

Name	Description
UnitConversions	Conversion blocks to convert between SI and non-SI unit signals
InverseBlockConstraints	Construct inverse model by requiring that two inputs and two outputs are identical
Gain	Output the product of a gain value with the input signal
MatrixGain	Output the product of a gain matrix with the input signal vector
MultiSum	Sum of Reals: y = k[1]*u[1] + k[2]*u[2] + ... + k[n]*u[n]
MultiProduct	Product of Reals: y = u[1]*u[2]* ... *u[n]
MultiSwitch	Set Real expression that is associated with the first active input signal
Sum	Output the sum of the elements of the input vector
Feedback	Output difference between commanded and feedback input
Add	Output the sum of the two inputs
Add3	Output the sum of the three inputs
Product	Output product of the two inputs
Division	Output first input divided by second input
Abs	Output the absolute value of the input
Sign	Output the sign of the input
Sqrt	Output the square root of the input (input >= 0 required)
Sin	Output the sine of the input
Cos	Output the cosine of the input
Tan	Output the tangent of the input
Asin	Output the arc sine of the input
Acos	Output the arc cosine of the input
Atan	Output the arc tangent of the input
Atan2	Output atan(u1/u2) of the inputs u1 and u2
Sinh	Output the hyperbolic sine of the input
Cosh	Output the hyperbolic cosine of the input
Tanh	Output the hyperbolic tangent of the input
Exp	Output the exponential (base e) of the input
Power	Output the power to a base of the input
Exponentiation	Output the input raised to an exponent
Log	Output the logarithm (default base e) of the input (input > 0 required)
Log10	Output the base 10 logarithm of the input (input > 0 required)
WrapAngle	Wrap angle to interval ]-pi,pi] or [0,2*pi[
RealToInteger	Convert Real to Integer signal
IntegerToReal	Convert Integer to Real signals
BooleanToReal	Convert Boolean to Real signal
BooleanToInteger	Convert Boolean to Integer signal
RealToBoolean	Convert Real to Boolean signal
IntegerToBoolean	Convert Integer to Boolean signal
RectangularToPolar	Convert rectangular coordinates to polar coordinates
PolarToRectangular	Convert polar coordinates to rectangular coordinates
Mean	Calculate mean over period 1/f
RectifiedMean	Calculate rectified mean over period 1/f
ContinuousMean	Calculates the empirical expectation (mean) value of its input signal
RootMeanSquare	Calculate root mean square over period 1/f
SignalExtrema	Calculate min and max of a signal
ContinuousSignalExtrema	Store the minimum and maximum values of the input signal
Variance	Calculates the empirical variance of its input signal
StandardDeviation	Calculates the empirical standard deviation of its input signal
Harmonic	Calculate harmonic over period 1/f
TotalHarmonicDistortion	Output the total harmonic distortion (THD)
RealFFT	Sampling and FFT of input u
Pythagoras	Determine the hypotenuse or leg of a right triangle
Max	Pass through the largest signal
Min	Pass through the smallest signal
MinMax	Output the minimum and the maximum element of the input vector
LinearDependency	Output a linear combination of the two inputs
Edge	Indicates rising edge of Boolean signal
BooleanChange	Indicates Boolean signal changing
IntegerChange	Indicates integer signal changing

Revisions

• August 24, 2016 by Christian Kral: added WrapAngle
• October 21, 2002 by Martin Otter and Christian Schweiger:
  New blocks added: RealToInteger, IntegerToReal, Max, Min, Edge, BooleanChange, IntegerChange.
• August 7, 1999 by Martin Otter:
  Realized (partly based on an existing Dymola library of Dieter Moormann and Hilding Elmqvist).