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SICP_2.50-2.51
1 #lang sicp 2 3 (#%require sicp-pict) 4 5 (define (origin-frame frame) 6 (car frame)) 7 8 (define (edge1-frame frame) 9 (cadr frame)) 10 11 (define (edge2-frame frame) 12 (caddr frame)) 13 14 (define (make-vect a b) 15 (cons a b)) 16 17 (define (xcor-vect v) 18 (car v)) 19 20 (define (ycor-vect v) 21 (cdr v)) 22 23 (define (add-vect v1 v2) 24 (make-vect (+ (xcor-vect v1) 25 (xcor-vect v2)) 26 (+ (ycor-vect v1) 27 (ycor-vect v2)))) 28 29 (define (sub-vect v1 v2) 30 (make-vect (- (xcor-vect v1) 31 (xcor-vect v2)) 32 (- (ycor-vect v1) 33 (ycor-vect v2)))) 34 35 (define (scale-vect s v1) 36 (make-vect (* s (xcor-vect v1)) 37 (* s (ycor-vect v1)))) 38 39 (define (frame-coord-map frame) 40 (lambda (v) 41 (add-vect 42 (origin-frame frame) 43 (add-vect (scale-vect (xcor-vect v) 44 (edge1-frame frame)) 45 (scale-vect (ycor-vect v) 46 (edge2-frame frame)))))) 47 ;;;;;;;;;;;;;;;;;;;2.50 48 (define (transform-painter painter origin corner1 corner2) 49 (lambda (frame) 50 (let ((m (frame-coord-map frame))) 51 (let ((new-origin (m origin))) 52 (painter 53 (make-frame new-origin 54 (sub-vect (m corner1) new-origin) 55 (sub-vect (m corner2) new-origin))))))) 56 57 (define (flip-horiz painter) 58 (transform-painter painter 59 (make-vect 1.0 0.0) 60 (make-vect 0.0 0.0) 61 (make-vect 1.0 1.0))) 62 63 (define (roate90 painter) 64 (transform-painter painter 65 (make-vect 1.0 0.0) 66 (make-vect 1.0 1.0) 67 (make-vect 0.0 0.0))) 68 69 (define (roate180 painter) 70 (transform-painter painter 71 (make-vect 1.0 1.0) 72 (make-vect 0.0 1.0) 73 (make-vect 1.0 0.0))) 74 75 (define (roate270 painter) 76 (transform-painter painter 77 (make-vect 0.0 1.0) 78 (make-vect 0.0 0.0) 79 (make-vect 1.0 1.0))) 80 81 ;;;;;;;;;;;;;;;;;2.51 82 (define (my-below painter1 painter2) 83 (let ((split-point (make-vect 0.0 0.5))) 84 (let ((paint-up 85 (transform-painter painter2 86 split-point 87 (make-vect 1.0 0.5) 88 (make-vect 0.0 1.0))) 89 (paint-bottom 90 (transform-painter painter1 91 (make-vect 0.0 0.0) 92 (make-vect 1.0 0.0) 93 split-point))) 94 (lambda (frame) 95 (paint-up frame) 96 (paint-bottom frame))))) 97 98 (define (my-below2 painter1 painter2) 99 (roate270 (beside (roate90 painter1) (roate90 painter2))))
1.理解painter是个过程接受frame参数,即在frame中画painter
2.frame-coord-map 中将一个单位正方形中的点映射到一个新框架中
3.transform-painter 则是将painter映射到一个新框架中返回的也是一个过程,也可以理解为返回一个painter
SICP_2.50-2.51
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