Modelica.Blocks.MathBoolean

Library of Boolean mathematical functions as input/output blocks

Information

This package contains basic mathematical operations on Boolean signals.

The new features are:

• If useful, blocks may have an arbitrary number of inputs (e.g., "And" block with 2,3,4,... Boolean inputs). This is based on the "connectorSizing" annotation which allows a tool to conveniently handle vectors of connectors.
• The blocks are smaller in size, so that the diagram area is better utilized for trivial blocks such as "And" or "Or".

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
MultiSwitch	Set Boolean expression that is associated with the first active input signal
And	Logical 'and': y = u[1] and u[2] and ... and u[nu]
Or	Logical 'or': y = u[1] or u[2] or ... or u[nu]
Xor	Logical 'xor': y = oneTrue(u) (y is true, if exactly one element of u is true, otherwise it is false)
Nand	Logical 'nand': y = not ( u[1] and u[2] and ... and u[nu] )
Nor	Logical 'nor': y = not ( u[1] or u[2] or ... or u[nu] )
Not	Logical 'not': y = not u
RisingEdge	Output y is true, if the input u has a rising edge, otherwise it is false (y = edge(u))
FallingEdge	Output y is true, if the input u has a falling edge, otherwise it is false (y = edge(not u))
ChangingEdge	Output y is true, if the input u has either a rising or a falling edge and otherwise it is false (y=change(u))
OnDelay	Delay a rising edge of the input, but do not delay a falling edge.

Modelica.Blocks.MathBoolean.MultiSwitch

Set Boolean expression that is associated with the first active input signal

Information

The block has a vector of Boolean input signals u[nu] and a vector of (time varying) Boolean expressions expr[:]. The output signal y is set to expr[i], if i is the first element in the input vector u that is true. If all input signals are false, y is set to parameter "y_default" or the previous value of y is kept if parameter use_pre_as_default = true:

// Conceptual equation (not valid Modelica)
i = 'first element of u[:] that is true';
y = if i==0 then (if use_pre_as_default then pre(y)
                                        else y_default)
    else expr[i];

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

Parameters

Connectors

Modelica.Blocks.MathBoolean.And

Logical 'and': y = u[1] and u[2] and ... and u[nu]

Information

The output is true if all inputs are true, otherwise the output is false.

The input connector is a vector of Boolean input signals. When a connection line is drawn, the dimension of the input vector is enlarged by one and the connection is automatically connected to this new free index (thanks to the connectorSizing annotation).

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

If no connection to the input connector "u" is present, the output is set to true: y=true.

Extends from Modelica.Blocks.Interfaces.PartialBooleanMISO (Partial block with a BooleanVectorInput and a BooleanOutput signal).

Connectors

Modelica.Blocks.MathBoolean.Or

Logical 'or': y = u[1] or u[2] or ... or u[nu]

Information

The output is true if at least one input is true, otherwise the output is false.

The input connector is a vector of Boolean input signals. When a connection line is drawn, the dimension of the input vector is enlarged by one and the connection is automatically connected to this new free index (thanks to the connectorSizing annotation).

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

If no connection to the input connector "u" is present, the output is set to false: y=false.

Extends from Modelica.Blocks.Interfaces.PartialBooleanMISO (Partial block with a BooleanVectorInput and a BooleanOutput signal).

Connectors

Modelica.Blocks.MathBoolean.Xor

Logical 'xor': y = oneTrue(u) (y is true, if exactly one element of u is true, otherwise it is false)

Information

The output is true if exactly one input is true, otherwise the output is false.

The input connector is a vector of Boolean input signals. When a connection line is drawn, the dimension of the input vector is enlarged by one and the connection is automatically connected to this new free index (thanks to the connectorSizing annotation).

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

If no connection to the input connector "u" is present, the output is set to false: y=false.

Extends from Modelica.Blocks.Interfaces.PartialBooleanMISO (Partial block with a BooleanVectorInput and a BooleanOutput signal).

Connectors

Modelica.Blocks.MathBoolean.Nand

Logical 'nand': y = not ( u[1] and u[2] and ... and u[nu] )

Information

The output is true if at least one input is false, otherwise the output is false.

The input connector is a vector of Boolean input signals. When a connection line is drawn, the dimension of the input vector is enlarged by one and the connection is automatically connected to this new free index (thanks to the connectorSizing annotation).

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

If no connection to the input connector "u" is present, the output is set to false: y=false.

Extends from Modelica.Blocks.Interfaces.PartialBooleanMISO (Partial block with a BooleanVectorInput and a BooleanOutput signal).

Connectors

Modelica.Blocks.MathBoolean.Nor

Logical 'nor': y = not ( u[1] or u[2] or ... or u[nu] )

Information

The output is false if at least one input is true, otherwise the output is true.

The input connector is a vector of Boolean input signals. When a connection line is drawn, the dimension of the input vector is enlarged by one and the connection is automatically connected to this new free index (thanks to the connectorSizing annotation).

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

If no connection to the input connector "u" is present, the output is set to false: y=false.

Extends from Modelica.Blocks.Interfaces.PartialBooleanMISO (Partial block with a BooleanVectorInput and a BooleanOutput signal).

Connectors

Modelica.Blocks.MathBoolean.Not

Logical 'not': y = not u

Information

The output is false if at least one input is true, otherwise the output is true.

The input connector is a vector of Boolean input signals. When a connection line is drawn, the dimension of the input vector is enlarged by one and the connection is automatically connected to this new free index (thanks to the connectorSizing annotation).

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

Extends from Modelica.Blocks.Interfaces.PartialBooleanSISO_small (Partial block with a BooleanInput and a BooleanOutput signal and a small block icon).

Connectors

Modelica.Blocks.MathBoolean.RisingEdge

Output y is true, if the input u has a rising edge, otherwise it is false (y = edge(u))

Information

A rising edge of the Boolean input u results in y = true at this time instant. At all other time instants, y = false.

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

Extends from Modelica.Blocks.Interfaces.PartialBooleanSISO_small (Partial block with a BooleanInput and a BooleanOutput signal and a small block icon).

Parameters

Connectors

Modelica.Blocks.MathBoolean.FallingEdge

Output y is true, if the input u has a falling edge, otherwise it is false (y = edge(not u))

Information

A falling edge of the Boolean input u results in y = true at this time instant. At all other time instants, y = false.

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

Extends from Modelica.Blocks.Interfaces.PartialBooleanSISO_small (Partial block with a BooleanInput and a BooleanOutput signal and a small block icon).

Parameters

Connectors

Modelica.Blocks.MathBoolean.ChangingEdge

Output y is true, if the input u has either a rising or a falling edge and otherwise it is false (y=change(u))

Information

A changing edge, i.e., either rising or falling, of the Boolean input u results in y = true at this time instant. At all other time instants, y = false.

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

Extends from Modelica.Blocks.Interfaces.PartialBooleanSISO_small (Partial block with a BooleanInput and a BooleanOutput signal and a small block icon).

Parameters

Connectors

Modelica.Blocks.MathBoolean.OnDelay

Delay a rising edge of the input, but do not delay a falling edge.

Information

A rising edge of the Boolean input u gives a delayed output. A falling edge of the input is immediately given to the output.

Simulation results of a typical example with a delay time of 0.1 s is shown in the next figure.

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.BooleanNetwork1.

Extends from Modelica.Blocks.Interfaces.PartialBooleanSISO_small (Partial block with a BooleanInput and a BooleanOutput signal and a small block icon).

Parameters

Connectors