EvalEquation

This function can be used to evaluate an equation written as string (char-array).
The basis of the function is the Shunting yard algorithm, as in the C#
example of: https://rosettacode.org/wiki/Parsing/Shunting-yard_algorithm

The shunting-yard algorithm is a method for parsing mathematical expressions
specified in infix notation to postfix notation.


Example

result = EvalEquation( '1+2/(2*3)');
disp(result)
1.3333

or with variables,

result = EvalEquation( 'y+x/(2*3)','x',2,'y',3);
disp(result)
3.3333

Supported operators: ^ * / + - ( ) > < == >= <=
Supported functions: sqrt abs sin cos tan asin acos atan exp sign round floor ceil
max(a,b) min(a,b)
Supported constants: pi
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This function EvalEquationScript can be used to evaluate a list of equations
and finaly return one of the variables as result

result = EvalEquationScript(script, output_variable_name, variable1, value1, variable2, value2,....)

Example,

script = cell(5,1);
script{1}='a=1';
script{2}='b=a*2';
script{3}='%Calculate max of a,b time x';
script{4}='x=x+a';
script{5}='c=max(a,b)*x';

result = EvalEquationScript(script,'c','x',3);