StateMachine ​

higherPipe() ​

Performs high-dimensional function composition from left to right.

• Type

Note: The type is not unique and depends on the offset array.

• Details

The first argument takes an array of functions, and the second argument takes an array of offsets. Both arrays should be of the same length.

The function will compose from left to right, using the result of the previous function as the input for the next function. The numbers in the corresponding positions of the offset array will dictate how many times the function will be iteratively applied. If it is 0, the function will not be executed.

The return value will be the new function composed according to the above rules, and the number of parameters will be based on the first non-zero value in the offset array from left to right.

• Example

higherPipe([add(1), mul(2)], [5, 1])(1); //12

higherPipe([add(1), mul(2)], [5, 1])(1); //12

higherComp() ​

Performs high-dimensional function composition from right to left.

• Type

Note: The type is not unique and depends on the offset array.

• Details

Similar to higherPipe(), but the composition is from right to left.

The return value is the new function composed according to the above rules, and the number of parameters will be based on the first non-zero value in the offset array from right to left.

• Example

higherComp([mul(2), add(1)], [1, 5])(1); //12

higherComp([mul(2), add(1)], [1, 5])(1); //12

coalgebra() ​

Generates a function that supports infinite iteration.

• Type

• Details

The first argument sets a seed, and the second argument takes a unary function.

The return value is a function that, when called, will return the function value of the unary function with the seed as the parameter and update the seed to this function value.

• Example

const foo = coalgebra(1, add(1));

foo(); //2
foo(); //3

const foo = coalgebra(1, add(1));

foo(); //2
foo(); //3

stateMachine() ​

Generates a state machine function that shifts states through an offset.

• Type

Note: The type is not unique and depends on the offset array.

• Details

The first argument sets a seed, and the second argument takes an array of functions.

The return value is a state machine that takes an offset array as its argument. The offset array and the function array should be of the same length.

For each input offset array, the original function array will be composed in a higher-dimensional pipeline manner. The final return value will be the function value of the composed function with the seed as the parameter, and the seed value will be updated to this function value.

• Example

const foo = stateMachine(1, [add(1), mul(2), div(3)]);

foo([0, 2, 0]); //4
foo([2, 0, 1]); //2

const foo = stateMachine(1, [add(1), mul(2), div(3)]);

foo([0, 2, 0]); //4
foo([2, 0, 1]); //2