#lang sicp
(#%require sicp-pict)

(define (flipped-pairs painter)
  (let ((painter2 (beside painter (flip-vert painter))))
    (below painter2 painter2)))

(define (right-spilt painter n)
  (if (= n 0)
      painter
      (let ((smaller (right-spilt painter (dec n))))
        (beside painter (below smaller smaller)))))

(define (up-split painter n)
  (if (= n 0)
      painter
      (let ((smaller (up-split painter (dec n))))
        (below painter (beside smaller smaller)))))

(define (corner-spilt painter n)
  (if (= n 0)
      painter
      (let ((up (up-split painter (dec n)))
            (right (right-spilt painter (dec n))))
        (let ((top-left (beside up up))
              (bottom-right (below right right))
              (corner (corner-spilt painter (dec n))))
          (beside (below painter top-left)
                  (below bottom-right corner))))))

(define (square-limit painter n)
  (let ((quarter (corner-spilt painter n)))
    (let ((half (beside (flip-horiz quarter) quarter)))
      (below (flip-vert half) half))))

(define (square-of-four tl tr bl br)
  (lambda (painter)
    (let ((top (beside (tl painter) (tr painter)))
          (bottom (beside (bl painter) (br painter))))
      (below bottom top))))

(define (split children-parent children)
  (lambda (parent n)
    (if (= n 0)
        parent
        (let ((child ((split children-parent children) parent (dec n))))
          (children-parent parent (children child child))))))

(define make-vect cons)
(define xcor-vect car)
(define ycor-vect cdr)
(define (add-vect v1 v2)
  (make-vect (+ (xcor-vect v1) (xcor-vect v2))
             (+ (ycor-vect v1) (ycor-vect v2))))
(define (sub-vect v1 v2)
  (make-vect (- (xcor-vect v1) (xcor-vect v2))
             (- (ycor-vect v1) (ycor-vect v2))))
(define (scale-vect s v)
  (make-vect (* s (xcor-vect v))
             (* s (ycor-vect v))))

(define (make-frame origin edge1 edge2)
  (cons origin (cons edge1 edge2)))
(define origin-frame car)
(define edge1-frame cadr)
(define edge2-frame cddr)

(define (outline frame)
  (segments->painter (list (make-segment (make-vect 0 0)
                                         (make-vect 1 0))
                           (make-segment (make-vect 1 0)
                                         (make-vect 1 1))
                           (make-segment (make-vect 1 1)
                                         (make-vect 0 1))
                           (make-segment (make-vect 0 1)
                                         (make-vect 0 0)))))
(define (xxx frame)
  (segments->painter (list (make-segment (make-vect 0 0)
                                         (make-vect 1 1))
                           (make-segment (make-vect 1 0)
                                         (make-vect 0 1)))))
(define (diamond frame)
  (segments->painter (list (make-segment (make-vect 0.5 0.0)
                                         (make-vect 1.0 0.5))
                           (make-segment (make-vect 1.0 0.5)
                                         (make-vect 0.5 1.0))
                           (make-segment (make-vect 0.5 1.0)
                                         (make-vect 0.0 0.5))
                           (make-segment (make-vect 0.0 0.5)
                                         (make-vect 0.5 0.0)))))