General Array Construction

An array constructor is just a function accepting scalar or array arguments and returning an array result. The array constructor function array(A,B,C,...), with short hand notation {A, B, C, ...}, constructs an array from its arguments according to certain rules.

1 Constructing Arrays

type Angle = Real(unit="rad"); // The type Angle is a subtype of Real
class ArrayConstruction Integer[3] a = {1, 2, 3}; // A 3-vector of type Integer[3] Real[3] b = array(1.0, 2.0, 3); // A 3-vector of type Real[3] Integer[2,3] c = {{11, 12, 13}, {21, 22, 23}}; // A 2x3 matrix of type Integer[2,3] Real[1,1,3] d ={{{1.0, 2.0, 3.0}}}; // A 1x1x3 array of type Real[1,1,3] Real[3] v = array(1, 2, 3.0); // The vector v is equal to {1.,2.,3.} parameter Angle alpha = 2.0; // The expanded type of alpha is Real Real[3] f = array(alpha, 2, 3.0); // A 3-vector of type Real[3] Angle[3] A = {1.0, alpha, 4}; // The expanded type of A is Real[3] end ArrayConstruction;

1.1 Simulation of ArrayConstruction

simulate( ArrayConstruction )

Take a look at the result at time=0:

val(d[1,1,1],0)
plot({d[1,1,1],c[2,1]})

2 Range Vector Construction

A range vector is a vector containing a range of numeric values increasing or decreasing by a fixed increment or decrement value for each additional element. For example, {1, 2, 3} is an Integer range vector starting at 1 and increasing by 1 for each element.

class Range Real v1[5] = 2.7 : 6.8; // v1 is {2.7, 3.7, 4.7, 5.7, 6.7} Real v2[5] = {2.7, 3.7, 4.7, 5.7, 6.7}; // v2 is equal to v1 Integer v3[3] = 3 : 5; // v3 is {3, 4, 5} Integer v4empty[0] = 3 : 2; // v4empty is an empty Integer vector Real v5[4] = 1.0 : 2 : 8; // v5 is {1.0, 3.0, 5.0, 7.0} Integer v6[5] = 1 : -1 : -3; // v6 is {1, 0, -1, -2, -3} Real[0] v7none; // v7 none is an empty Real vector end Range;

2.1 Simulation of Range

simulate(Range)
plot({v1[4],v5[3]})