This consultant extends the fundamental Maple programming options to extra complicated subject matters, comparable to modules, enter and output, numerical programming, snap shots programming, and compiled code.
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This section familiarizes you with: • Defining custom types and operators • Modifying how Maple displays expressions • Extending commands such as simplify and expand. Defining New Types If you are using a complicated structured type, it is recommended that you assign the structured type to a variable of the form ‘type/name ‘. 32 • Chapter 1: Procedures, Variables, and Extending Maple Writing the structure once reduces the risk of errors. When you have defined the variable ‘type/name ‘, you can use name as a type.
32 • Chapter 1: Procedures, Variables, and Extending Maple Writing the structure once reduces the risk of errors. When you have defined the variable ‘type/name ‘, you can use name as a type. > ‘type/Variables‘ := {name, list(name), set(name)}: > type( x, Variables ); true > type( { x[1], x[2] }, Variables ); true If the structured type mechanism is not powerful enough, you can define a new type by assigning a procedure to a variable of the form ‘type/name ‘. When you test whether an expression is of type name, Maple invokes the procedure ‘type/name ‘ on the expression if such a procedure exists.
The following ‘type/LINEAR‘ procedure determines if f is a polynomial in V of degree 1. 5 Extending Maple • 33 > ‘type/LINEAR‘ := proc(f, V::name) > type( f, polynom(anything, V) ) and degree(f, V) = 1; > end proc: > type( a*x+b, LINEAR(x) ); true > type( x^2, LINEAR(x) ); false > type( a, LINEAR(x) ); false Exercises 1. Modify the ‘type/LINEAR‘ procedure so that you can use it to test if an expression is linear in a set of variables. For example, x + ay + 1 is linear in both x and y, but xy + a + 1 is not.