Modelica.Blocks.MathInteger

Information

This package contains basic mathematical operations on Integer signals.

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

Package Content

Name	Description
MultiSwitch	Set Integer expression that is associated with the first active input signal
Sum	Sum of Integers: y = k[1]*u[1] + k[2]*u[2] + ... + k[n]*u[n]
Product	Product of Integer: y = u[1]*u[2]* ... *u[n]
TriggeredAdd	Add input to previous value of output, if rising edge of trigger port

Modelica.Blocks.MathInteger.MultiSwitch

Information

This block has a vector of Boolean input signals u[nu] and a vector of (time varying) Integer expressions expr[nu]. 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 last value is kept, if 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 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.IntegerNetwork1.

Parameters

Type	Name	Default	Description
Integer	expr[nu]	fill(0, nu)	y = if u[i] then expr[i] elseif use_pre_as_default then pre(y) else y_default
Integer	y_default	0	Default value of output y if use_pre_as_default=false, as well as pre(y) at initial time
Boolean	use_pre_as_default	true	= true, y holds its last value if all u[i]=false, otherwise y=y_default

Connectors

Type	Name	Description
input BooleanVectorInput	u[nu]	Set y = expr[i], if u[i] = true
output IntegerOutput	y	Output depending on expression

Modelica definition

block MultiSwitch 
  "Set Integer expression that is associated with the first active input signal"

  input Integer expr[nu]=fill(0, nu) 
    "y = if u[i] then expr[i] elseif use_pre_as_default then pre(y) else y_default";
  parameter Integer y_default=0 
    "Default value of output y if use_pre_as_default=false, as well as pre(y) at initial time";

  parameter Boolean use_pre_as_default=true 
    "= true, y holds its last value if all u[i]=false, otherwise y=y_default";
  parameter Integer nu(min=0) = 0 "Number of input connections";

  Modelica.Blocks.Interfaces.BooleanVectorInput u[nu] 
    "Set y = expr[i], if u[i] = true";
  Modelica.Blocks.Interfaces.IntegerOutput y "Output depending on expression";

protected 
  Integer firstActiveIndex;
initial equation 
  pre(y) = y_default;
equation 
  firstActiveIndex = Modelica.Math.BooleanVectors.firstTrueIndex(
                                                  u);
  y = if firstActiveIndex > 0 then expr[firstActiveIndex] else 
      if use_pre_as_default then pre(y) else y_default;
end MultiSwitch;

Modelica.Blocks.MathInteger.Sum

Information

This blocks computes the scalar Integer output "y" as sum of the elements of the Integer input signal vector u:

y = k[1]*u[1] + k[2]*u[2] + ... k[N]*u[N];

The input connector is a vector of Integer 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.IntegerNetwork1.

If no connection to the input connector "u" is present, the output is set to zero: y=0.

Extends from Modelica.Blocks.Interfaces.PartialIntegerMISO (Partial block with an IntegerVectorInput and an IntegerOutput signal).

Parameters

Type	Name	Default	Description
Integer	k[nu]	fill(1, nu)	Input gains

Connectors

Type	Name	Description
input IntegerVectorInput	u[nu]	Vector of Integer input signals
output IntegerOutput	y	Integer output signal

Modelica definition

block Sum 
  "Sum of Integers: y = k[1]*u[1] + k[2]*u[2] + ... + k[n]*u[n]"
   extends Modelica.Blocks.Interfaces.PartialIntegerMISO;
   parameter Integer k[nu] = fill(1,nu) "Input gains";
equation 
  if size(u,1) > 0 then
     y = k*u;
  else
     y = 0;
  end if;
end Sum;

Modelica.Blocks.MathInteger.Product

Information

This blocks computes the scalar Integer output "y" as product of the elements of the Integer input signal vector u:

y = u[1]*u[2]* ... *u[N];

The input connector is a vector of Integer 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.IntegerNetwork1.

If no connection to the input connector "u" is present, the output is set to zero: y=0.

Extends from Modelica.Blocks.Interfaces.PartialIntegerMISO (Partial block with an IntegerVectorInput and an IntegerOutput signal).

Connectors

Type	Name	Description
input IntegerVectorInput	u[nu]	Vector of Integer input signals
output IntegerOutput	y	Integer output signal

Modelica definition

block Product "Product of Integer: y = u[1]*u[2]* ... *u[n]"
   extends Modelica.Blocks.Interfaces.PartialIntegerMISO;
equation 
  if size(u,1) > 0 then
     y = product(u);
  else
     y = 0;
  end if;

end Product;

Modelica.Blocks.MathInteger.TriggeredAdd

Information

Add input to previous value of output, if rising edge of trigger port

This block has one Integer input "u", one Boolean input "trigger", an optional Boolean input "reset", an optional Integer input "set", and an Integer output "y". The optional inputs can be activated with the "use_reset" and "use_set" flags, respectively.

The input "u" is added to the previous value of the output "y" if the "trigger" port has a rising edge. At the start of the simulation "y = y_start".

If the "reset" port is enabled, then the output "y" is reset to "set" or to "y_start" (if the "set" port is not enabled), whenever the "reset" port has a rising edge.

The usage is demonstrated, e.g., in example Modelica.Blocks.Examples.IntegerNetwork1.

Extends from Modelica.Blocks.Interfaces.PartialIntegerSISO (Partial block with a IntegerInput and an IntegerOutput signal).

Parameters

Type	Name	Default	Description
Boolean	use_reset	false	=true, if reset port enabled
Boolean	use_set	false	=true, if set port enabled and used as default value when reset
Integer	y_start	0	Initial and reset value of y if set port is not used

Connectors

Type	Name	Description
input IntegerInput	u	Integer input signal
output IntegerOutput	y	Integer output signal
input BooleanInput	trigger
input BooleanInput	reset
input IntegerInput	set

Modelica definition

block TriggeredAdd 
  "Add input to previous value of output, if rising edge of trigger port"
  extends Modelica.Blocks.Interfaces.PartialIntegerSISO;

  parameter Boolean use_reset = false "=true, if reset port enabled";
  parameter Boolean use_set = false 
    "=true, if set port enabled and used as default value when reset";
  parameter Integer y_start = 0 
    "Initial and reset value of y if set port is not used";

  Modelica.Blocks.Interfaces.BooleanInput trigger;
  Modelica.Blocks.Interfaces.BooleanInput reset if use_reset;
  Modelica.Blocks.Interfaces.IntegerInput set if use_set;
protected 
  Modelica.Blocks.Interfaces.BooleanOutput local_reset;
  Modelica.Blocks.Interfaces.IntegerOutput local_set;
initial equation 
  pre(y) = y_start;
equation 
  if use_reset then
     connect(reset, local_reset);
       if use_set then
         connect(set, local_set);
       else
         local_set = y_start;
       end if;
  else
     local_reset = false;
     local_set = 0;
  end if;

  when {trigger, local_reset} then
     y = if local_reset then local_set else pre(y) + u;
  end when;
end TriggeredAdd;