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matrix-by-vectors+.rkt
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matrix-by-vectors+.rkt
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;;#lang reader "../../Scheme-PLUS-for-Racket/src/SRFI-105.rkt"
#lang reader SRFI-105
;;#lang reader "../Scheme-PLUS-for-Racket/src/SRFI-105.rkt"
;;#lang reader "../Scheme-PLUS-for-Racket/main/Scheme-PLUS-for-Racket/src/SRFI-105.rkt" ; SRFI-105 Curly-infix-expressions
;; Matrix based on vector of vectors
;; Author: Damien Mattei
;; /Applications/Racket\ v8.12/bin/racket curly-infix2prefix4racket.rkt ../../../../AI_Deep_Learning/matrix-by-vectors+.rkt > ../../../../AI_Deep_Learning/matrix-by-vectors.rkt
;; use: (require "matrix-by-vectors+.rkt")
;; or:
;; (require "matrix-by-vectors.rkt")
(module matrix-by-vectors racket
(provide matrix-vect
matrix-vect?
matrix-vect-v
dim-matrix-vect
multiply-matrix-matrix
multiply-matrix-vector
matrix-vect-ref
matrix-vect-set!
matrix-vect-line-ref
matrix-vect-line-set!
create-matrix-vect-by-function
vector->matrix-column
matrix-column->vector
*)
;;(require srfi/43) ; vector , warning vector-map has index as extra parameter...
;;(import (srfi :43))
;;(require "../../Scheme-PLUS-for-Racket/src/Scheme+.rkt")
(require Scheme+)
;;(require Scheme-PLUS-for-Racket)
;;(require "../Scheme-PLUS-for-Racket/main/Scheme-PLUS-for-Racket/src/Scheme+.rkt")
;;(require "../Scheme-PLUS-for-Racket/main/Scheme-PLUS-for-Racket/main.rkt")
(define-overload-existing-operator *) ;; create a procedure,must be before infix procedures
(require (rename-in srfi/43 (vector-map vector-map-srfi-43))) ; vector , warning vector-map has index as extra parameter...
;;(require "../../Scheme-PLUS-for-Racket/src/array.rkt")
(require Scheme+/array)
;;(require "../Scheme-PLUS-for-Racket/src/array.rkt")
;;(require "../Scheme-PLUS-for-Racket/main/Scheme-PLUS-for-Racket/src/array.rkt")
(struct matrix-vect (v)) ;; matrix based on vector of vectors
;; (create-matrix-vect-by-function (lambda (i j) (+ i j)) 2 3)
(define (create-matrix-vect-by-function fct lin col)
(matrix-vect (create-vector-2d fct lin col)))
;; return the line and column values of dimension
(define (dim-matrix-vect M)
(when (not (matrix-vect? M))
(error "argument is not of type matrix"))
{v <- (matrix-vect-v M)}
{lin <- (vector-length v)}
{col <- (vector-length {v[0]})}
(values lin col))
(define (multiply-matrix-matrix M1 M2)
{(n1 p1) <+ (dim-matrix-vect M1)}
{(n2 p2) <+ (dim-matrix-vect M2)}
;; (display "multiply-matrix-matrix : n1=") (display n1) (newline)
;; (display "multiply-matrix-matrix : p1=") (display p1) (newline)
;; (display "multiply-matrix-matrix : n2=") (display n2) (newline)
;; (display "multiply-matrix-matrix : p2=") (display p2) (newline)
(when {p1 ≠ n2} (error "matrix-by-vectors.* : matrix product impossible, incompatible dimensions"))
{v1 <- (matrix-vect-v M1)}
{v2 <- (matrix-vect-v M2)}
(define (res i j)
{sum <- 0}
(for ({k <- 0} {k < p1} {k <- k + 1})
{sum <- sum + v1[i][k] * v2[k][j]})
sum)
;; (for/sum ([k (in-range p1)])
;; {v1[i][k] * v2[k][j]}))
{v <- (create-vector-2d res n1 p2)}
;(display "v=") (display v) (newline)
(matrix-vect v))
(overload-existing-operator * multiply-matrix-matrix (matrix-vect? matrix-vect?))
(define (vector->matrix-column v)
(matrix-vect (vector-map-srfi-43 (lambda (i x) (make-vector 1 x))
v)))
(define (matrix-column->vector Mc)
{v <- (matrix-vect-v Mc)}
;;(display "matrix-by-vectors : matrix-column->vector : v =") (display v) (newline)
(vector-map-srfi-43 (lambda (i v2) {v2[0]})
v))
(define (multiply-matrix-vector M v) ;; args: matrix ,vector ; return vector
{Mc <- (vector->matrix-column v)}
;;(display "matrix-by-vectors : multiply-matrix-vector : v=") (display v) (newline)
;;(display Mc) (newline)
;;(display (matrix-vect-v Mc)) (newline)
;;(matrix-column->vector (multiply-matrix-matrix M Mc)))
(matrix-column->vector {M * Mc}))
;;(matrix-column->vector (* M Mc)))
(overload-existing-operator * multiply-matrix-vector (matrix-vect? vector?))
;; define getter,setter
(define (matrix-vect-ref M lin col)
{v <- (matrix-vect-v M)}
{v[lin][col]})
(define (matrix-vect-set! M lin col x)
{v <- (matrix-vect-v M)}
{v[lin][col] <- x})
;; > (overload-square-brackets matrix-vect-ref
;; matrix-vect-set! (matrix-vect? number? number?))
;; > (overload-square-brackets matrix-vect-line-ref
;; (lambda (x) '()) (matrix-vect? number?))
;; > $ovrld-square-brackets-lst$
;; '(((#<procedure:matrix-vect?> #<procedure:number?>) (#<procedure:matrix-vect-line-ref> . #<procedure>))
;; ((#<procedure:matrix-vect?> #<procedure:number?> #<procedure:number?>) (#<procedure:matrix-vect-ref> . #<procedure:matrix-vect-set!>)))
;; > (define Mv (matrix-vect #(#(1 2 3) #(4 5 6))))
;; > Mv
;; #<matrix-vect>
;; > (find-getter-for-overloaded-square-brackets (list Mv 1))
;; #<procedure:matrix-vect-line-ref>
;; > {Mv[1 0]}
;; 4
;; > {Mv[1]}
;; '#(4 5 6)
;; > {Mv[1][0]}
;; 4
;; >
(define (matrix-vect-line-ref M lin)
{v <- (matrix-vect-v M)}
{v[lin]})
(define (matrix-vect-line-set! M lin vect-line)
{v <- (matrix-vect-v M)}
{v[lin] <- vect-line})
;; overload [ ]
(overload-square-brackets matrix-vect-ref matrix-vect-set! (matrix-vect? number? number?))
(overload-square-brackets matrix-vect-line-ref matrix-vect-line-set! (matrix-vect? number?))
) ; end module