50 lines
1.5 KiB
Racket
50 lines
1.5 KiB
Racket
#lang racket/signature
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;; CONVENTION:
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;; [Rectangle X] = [Listof [Listof X]]
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;; where all elements of the non-empty list are of equal non-empty length
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;; type: [Matrix X]
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matrix?
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;; is this a matrix?
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matrix-rows ;; [Matrix X] -> Nat
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;; how many rows does this matrix have?
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matrix-cols ;; [Matrix X] -> Nat
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;; how many columns does this matrix have?
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rectangle->matrix ;; [Rectangle X] -> [Matrix X]
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;; create a matrix from a rectangle
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matrix->rectangle ;; [Matrix X] -> [Rectangle X]
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;; create a rectangle from matrix
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;; ----------------------------------------------------------------------------
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make-matrix ;; Nat Nat [Listof X] -> [Matrix X]
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;; create an initialized n x m matrix from list l
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;; NOTE: make-matrix would consume an optional number of entries,
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;; if it were like make-vector
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build-matrix ;; Nat Nat (Nat Nat -> X) -> [Matrix X]
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;; create a matrix from a function
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matrix-ref ;; [Matrix X] Nat Nat -> X
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;; retrieve the content of the matrix at (i,j)
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matrix-set ;; [Matrix X] Nat Nat X -> [Matrix X]
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;; create a new matrix with x at (i,j) and all other places the same
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matrix-where? ;; [Matrix X] (X -> Boolean) -> [Listof Posn]
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;; (matrix-where? M P) :: list of (make-posn i j) s.t. (P (matrix-ref M i j))
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matrix-render ;; [Matrix X] -> [Rectangle String]
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;; render the matrix as a rectangle of strings
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matrix-minor ;; Matrix Nat Nat -> Matrix
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;; create a matrix minor from M at (i,j)
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;; matrix-set! ;; [Matrix X] Nat Nat X -> [Matrix X]
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;; set the matrix at (i,j)
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