Activate equations or statements when condition becomes true

equation whenx > 2theny3 = 2*x +y1+y2; // Order of y1 and y3 equations does not matter y1 = sin(x);end when; y2 = sin(y1);

In equation sections:

whenexpressionthen{ equation ";" } {elsewhenexpressionthen{ equation ";" } }end when

In algorithm sections:

whenexpressionthen{ algorithm ";" } {elsewhenexpressionthen{ algorithm ";" } }end when

The expression of a when clause shall be a discrete-time Boolean scalar or vector expression. The equations and algorithm statements within a when clause are activated when the scalar or any one of the elements of the vector expression becomes true. When-clauses in equation sections are allowed, provided the equations within the when-clause have one of the following forms:

- v = expr;
- (out1, out2, out3, ...) = function_call(in1, in2, ...);
- operators
**assert**(),**terminate**(),**reinit**() **For**and**if**-clause if the equations within the**for**and**if**-clauses satisfy these requirements.- In an equation section, the different branches of when/elsewhen must have the same set of component references on the left-hand side.
- In an equation section, the branches of an if-then-else clause inside when-clauses must have the same set of component references on the left-hand side, unless the if-then-else have exclusively parameter expressions as switching conditions.

A when clause shall not be used within a function class.

*[Example:*

*Algorithms are activated when x becomes > 2:*

whenx > 2theny1 := sin(x); y3 := 2*x + y1 + y2;end when;

*Algorithms are activated when either x becomes > 2 or
sample(0,2) becomes true or x becomes less than 5:*

when{x > 2, sample(0,2), x < 5}theny1 := sin(x); y3 := 2*x + y1 + y2;end when;

*For when in equation sections the order between the
equations does not matter, e.g.,*

equation whenx > 2theny3 = 2*x +y1+y2; // Order of y1 and y3 equations does not matter y1 = sin(x);end when; y2 = sin(y1);

*The needed restrictions on equations within a when-clause
becomes apparent with the following example:*

Real x, y;equationx + y = 5;whenconditionthen2*x + y = 7; // error: not valid Modelicaend when;

*When the equations of the when-clause are not activated it
is not clear which variable to hold constant, either x or y. A
corrected version of this example is:*

Real x, y;equationx + y = 5;whenconditiontheny = 7 - 2*x; // fineend when;

*Here, variable y is held constant when the when-clause is
de-activated and x is computed from the first equation using the
value of y from the previous event instant.*

*For when in algorithm sections the order is significant and
it is advisable to have only one assignment within the when-clause
and instead use several algorithms having when-clauses with
identical conditions, e.g.,*

algorithmwhenx > 2theny1 := sin(x);end when;equationy2 = sin(y1);algorithmwhenx > 2theny3 := 2*x + y1 + y2;end when;

*Merging the when-clauses can lead to less efficient code and
different models with different behaviour depending on the order of
the assignment to y1 and y3 in the algorithm.]*

A when clause

algorithm when{x>1,...,y>p}then ... elsewhenx > y.startthen ... end when;

is equivalent to the following special if-clause, where Boolean
b1[N] and Boolean b2 are necessary because the
**edge**() operator can only be applied to
variables

Boolean b1[N](start={x.start>1,...,y.start>p}); Boolean b2(start=x.start>y.start);algorithmb1:={x>1, ..., y>p}; b2:=x>y.start;if edge(b1[1])or edge(b1[2])or ... edge(b1[N])then ... elseif edge(b2)then ... end if;

with "**edge**(A)= A **and not
pre**(A)" and the additional guarantee, that the algorithms
within this special if clause are only evaluated at event
instants.

A when-clause

equation whenx>2thenv1 = expr1 ; v2 = expr2 ;end when;

is equivalent to the following special if-expressions

Boolean b(start=x.start>2);equationb = x>2; v1 =if edge(b)thenexpr1else pre(v1); v2 =if edge(b)thenexpr2else pre(v2);

The start-values of the introduced Boolean variables are defined
by the taking the start-value of the when-condition, as above where
p is a parameter variable. The start-values of the special
functions **initial**, **terminal**, and
**sample** is false.

When clauses cannot be nested.

*[Example:*

*The following when clause is invalid:*

whenx > 2then wheny1 > 3theny2 = sin(x);end when;end when;

*]*

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