From: Ramakrishnan Muthukrishnan Date: Tue, 3 Aug 2010 17:09:36 +0000 (+0530) Subject: solution to 2.37 X-Git-Url: https://git.rkrishnan.org/pf/components/com_hotproperty/css/frontends/...?a=commitdiff_plain;h=ae778426bc51a6b0c730c0c62366648b0de14d54;p=sicp.git solution to 2.37 --- diff --git a/src/sicp/ex2_37.clj b/src/sicp/ex2_37.clj new file mode 100644 index 0000000..0047ff3 --- /dev/null +++ b/src/sicp/ex2_37.clj @@ -0,0 +1,50 @@ +(ns sicp.ex2_37 + (:use [clojure.test] + [sicp [ch2-2 :only (accumulate)] + [ex2_36 :only (accumulate-n)]])) + +;; (define (dot-product v w) +;; (accumulate + 0 (map * v w))) +(defn dot-product [v w] + (accumulate + 0 (map * v w))) + +(deftest test-dot-prod + (let [v '(1 2 3) + w '(10 20 30)] + (is [= (dot-product v w) + 140]))) + +;; (define (matrix-*-vector m v) +;; (map m)) +(defn matrix-*-vector [m v] + (map (fn [r] (dot-product r v)) m)) + +(deftest test-matrix*-vector + (let [m '((1 2 3) (4 5 6) (7 8 9)) + v '(1 1 1)] + (is [= (matrix-*-vector m v) + '(6 15 24)]))) + +;; (define (transpose mat) +;; (accumulate-n mat)) +(defn transpose [mat] + (accumulate-n cons nil mat)) + +(deftest test-transpose + (let [s '((1 2 3) (4 5 6) (7 8 9))] + (is [= (transpose s) + '((1 4 7) (2 5 8) (3 6 9))]))) + +;; (define (matrix-*-matrix m n) +;; (let ((cols (transpose n))) +;; (map m))) +(defn matrix-*-matrix [m n] + (let [cols (transpose n)] + (map (fn [v] + (matrix-*-vector cols v)) + m))) + +(deftest test-matrix-*-matrix + (are [x y] [= x y] + (matrix-*-matrix '((8 9) (5 -1)) '((-2 3) (4 0))) '((20 24) (-14 15)) + (matrix-*-matrix '((0 -1 2) (4 11 2)) '((3 -1) (1 2) (6 1))) '((11 0) (35 20)))) \ No newline at end of file