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; ' 函数名:MMul
; ' 功能: 计算矩阵的乘法
; ' 参数: m - Integer型变量,相乘的左边矩阵的行数
; ' n - Integer型变量,相乘的左边矩阵的列数和右边矩阵的行数
; ' l - Integer型变量,相乘的右边矩阵的列数
; ' mtxA - Double型m x n二维数组,存放相乘的左边矩阵
; ' mtxB - Double型n x l二维数组,存放相乘的右边矩阵
; ' mtxC - Double型m x l二维数组,返回矩阵乘积矩阵
(defun m_mul(mtxa mtxb / mtxa mtxb m_1 n_1 n_2 l_2 mtxa_mb mtxb_mb mtxc_mb count_i count_j count_k mtxc_mb_z mtxa_mb_z mtxb_mb_z)
;(setq mtxa (list (list 5 2 4) (list 3 8 2) (list 6 0 4) (list 0 1 6)))
;(setq mtxb (list (list 2 4) (list 1 3) (list 3 2)))
(setq mtxa mtxa)
(setq mtxb mtxb)
;;查询 m n l
(setq m_1 (length mtxa))
(setq n_1 (length (car mtxa)))
(setq n_2 (length mtxb))
(if (/= n_1 n_2)
(progn
(princ "\n无法进行矩阵乘法!")
(exit)
)
)
(setq l_2 (length (car mtxb)))
(princ (strcat "\n会生成" (itoa m_1) "x" (itoa l_2) "的矩阵!\n"))
;;生成位置码表
(setq mtxa_mb (m_mabiao mtxa))
(setq mtxb_mb (m_mabiao mtxb))
;;矩阵的乘法
(setq mtxc_mb '())
(setq count_i 1)
(while (<= count_i m_1)
(setq count_j 1)
(while (<= count_j l_2)
(setq count_k 1)
(while (<= count_k n_1)
;;计算
;;通过索引表看mtxc_mb中(i,j)是否有值
(if (not (assoc (list count_i count_j) mtxc_mb))
(progn
(setq mtxc_mb_z 0)
)
)
(if (assoc (list count_i count_j) mtxc_mb)
(progn
(setq mtxc_mb_z (last (assoc (list count_i count_j) mtxc_mb)))
(setq mtxc_mb (vl-remove (assoc (list count_i count_j) mtxc_mb) mtxc_mb))
)
)
;;读mtxa_mb(j,k)
(setq mtxa_mb_z (last (assoc (list count_i count_k) mtxa_mb)))
;;读mtxb_mb(k,j)
(setq mtxb_mb_z (last (assoc (list count_k count_j) mtxb_mb)))
;; mtxC(i, j) = mtxC(i, j) + mtxA(i, k) * mtxB(k, j)
(setq mtxc_mb_z (+ mtxc_mb_z (* mtxa_mb_z mtxb_mb_z)))
;;将值加入mtxc_mb
(setq mtxc_mb (append mtxc_mb (list (list (list count_i count_j) mtxc_mb_z))))
(setq count_k (1+ count_k))
)
(setq count_j (1+ count_j))
)
(setq count_i (1+ count_i))
)
;;返回矩阵码表
(setq mtxc_mb mtxc_mb)
;;返回矩阵表
(setq count_i 1)
(setq mtxc '())
(while (<= count_i m_1)
(setq count_j 1)
(setq mtxc_h '())
(while (<= count_j l_2)
(setq mtxc_h (append mtxc_h (list (last (assoc (list count_i count_j) mtxc_mb)))))
(setq count_j (1+ count_j))
)
(setq mtxc (append mtxc (list mtxc_h )))
(setq count_i (1+ count_i))
)
(setq mtxc mtxc)
)
(defun m_mabiao( mtx_1 / mtx_1 mtx_mb count_i mtx_1 count_j sj_h)
;;生成数组位置码表
(setq mtx_1 mtx_1)
(setq mtx_mb '())
(setq count_i 1)
(foreach sj_h mtx_1
(setq count_j 1)
(foreach sj_l sj_h
(setq mtx_mb (append mtx_mb (list (list (list count_i count_j) sj_l))))
(setq count_j (1+ count_j))
)
(setq count_i (1+ count_i))
)
(setq mtx_mb mtx_mb)
) |
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