{"id":4563,"date":"2020-02-28T18:35:04","date_gmt":"2020-02-28T10:35:04","guid":{"rendered":"https:\/\/www.highflybird.com\/blog\/?p=4563"},"modified":"2020-02-28T19:15:37","modified_gmt":"2020-02-28T11:15:37","slug":"lisp%e7%9a%84%e8%a1%a8%e8%be%be%e5%bc%8f%e6%b1%82%e5%80%bc","status":"publish","type":"post","link":"https:\/\/www.highflybird.com\/blog\/?p=4563","title":{"rendered":"LISP\u7684\u8868\u8fbe\u5f0f\u6c42\u503c"},"content":{"rendered":"\n<p> \u8868\u8fbe\u5f0f\u4e00\u822c\u6765\u8bf4\u6709\u4e09\u79cd\uff1a\u524d\u7f00\u8868\u8fbe\u5f0f\u3001\u4e2d\u7f00\u8868\u8fbe\u5f0f\u3001\u540e\u7f00\u8868\u8fbe\u5f0f\uff0c\u5176\u4e2d\u540e\u7f00\u8868\u8fbe\u5f0f\u53c8\u53eb\u505a\u9006\u6ce2\u5170\u8868\u8fbe\u5f0f\u3002\u4e2d\u7f00\u8868\u8fbe\u5f0f\u662f\u6700\u7b26\u5408\u4eba\u4eec\u601d\u7ef4\u65b9\u5f0f\u7684\u4e00\u79cd\u8868\u8fbe\u5f0f\uff0c\u987e\u540d\u601d\u4e49\uff0c\u5c31\u662f\u64cd\u4f5c\u7b26\u5728\u64cd\u4f5c\u6570\u7684\u4e2d\u95f4\u3002\u800c\u524d\u7f00\u8868\u8fbe\u5f0f\u548c\u540e\u7f00\u8868\u8fbe\u5f0f\u4e2d\u64cd\u4f5c\u7b26\u5206\u522b\u5728\u64cd\u4f5c\u6570\u7684\u524d\u9762\u548c\u64cd\u4f5c\u6570\u7684\u540e\u9762\u3002\u5728\u5199\u8868\u8fbe\u5f0f\uff0c\u6211\u4eec\u4e00\u822c\u7528\u4e2d\u7f00\u8868\u8fbe\u5f0f\uff0c\u8b6c\u5982 1+2*3-4\/5\u3002\u5e76\u4e14\u6309\u7167\u64cd\u4f5c\u7b26\u7684\u4f18\u5148\u7ea7\u8fdb\u884c\u8ba1\u7b97\u3002<br>\u7136\u800cLISP\u8bed\u8a00\u662f\u4e00\u79cd\u524d\u7f00\u8868\u8fbe\u5f0f\uff0c\u4e3a\u4e86\u628a\u8868\u8fbe\u5f0f\u8f6c\u4e3aLISP\u51fd\u6570\u6216\u8005\u6c42\u503c\uff0c\u9700\u8981\u8fdb\u884c\u7ffb\u8bd1\uff0c\u6dfb\u52a0\u5927\u91cf\u7684\u62ec\u53f7\u548c\u4fee\u6539\u51fd\u6570\u7684\u987a\u5e8f\u3002<br>\u8fd9\u4e2a\u7a0b\u5e8f\u7684\u76ee\u7684\u5c31\u662f\u4f7f\u5f97\u8fd9\u4e00\u5de5\u4f5c\u53d8\u7b80\u5355\u3002<br>\u5f53\u7136\uff0cCAD\u91cc\u9762\u672c\u8eab\u4e5f\u6709\u51e0\u79cd\u79cd\u65b9\u5f0f\u80fd\u5b8c\u6210\u8fd9\u4e2a\uff0c\u4f46\u5b83\u4eec\u7684\u4f18\u7f3a\u70b9\u5bb9\u6211\u540e\u9762\u8ba8\u8bba\u3002<br>\u7a0b\u5e8f\u501f\u9274\u4e86\u98de\u8bd7\u7684\u4e00\u4e9b\u4ee3\u7801\uff0c\u5728\u6b64\u6df1\u8868\u611f\u8c22\u3002<br>\u7a0b\u5e8f\u7684\u6838\u5fc3\u4ee3\u7801\u5982\u4e0b\uff1a <\/p>\n\n\n<p>[codesyntax lang=&#8221;lisp&#8221;]<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u5b57\u7b26\u8868\u8fbe\u5f0f\u8f6c\u4e3a\u51fd\u6570\uff0c\u4e3b\u8981\u7528\u4e8e\u591a\u6b21\u8c03\u7528\u65f6\u63d0\u5347\u901f\u5ea6<br>\n;;; \u8f93\u5165: expr&#8211;\u5b57\u7b26\u8868\u8fbe\u5f0f,sFunc&#8211;\u51fd\u6570\u540d,sArg&#8211;\u53c2\u6570\u7b26\u53f7\u5217\u8868<br>\n;;; \u8f93\u51fa: \u5b9a\u4e49\u51fd\u6570\uff0c\u5e76\u8fd4\u56de\u5176\u540d<br>\n;;; \u4f8b\u5b50: (CAL:Expr2Func &#8220;sin(x)+20*y&#8221; &#8216;test &#8216;(x y))<br>\n;;; \u7ed3\u679c: \u5b9a\u4e49\u4e86\u4e00\u4e2a\u540d\u4e3atest\u7684\u51fd\u6570\uff0c\u53c2\u6570\u7b26\u53f7\u4e3ax y<br>\n;;; \u6ce8\u610f: \u9664\u6cd5\u533a\u5206\u6574\u6570\u548c\u6d6e\u70b9\u6570\uff0c\u8b6c\u5982&#8221;2\/3&#8243;\u548c&#8221;2\/3.0&#8243;\u7ed3\u679c\u4e0d\u540c\uff1b<br>\n;;;       \u53ef\u7528\u81ea\u5b9a\u4e49\u51fd\u6570\uff0c\u524d\u63d0\u662f\u9996\u5148\u8981\u52a0\u8f7d\uff1b<br>\n;;;       \u53ef\u7528\u79d1\u5b66\u8ba1\u7b97\u6cd5\uff0c\u4f46\u5e94\u6ee1\u8db3LISP\u4e2d\u7684\u8bed\u6cd5\u3002\u5efa\u8bae\u7528\u62ec\u53f7\uff1b<br>\n;;;       \u8868\u8fbe\u5f0f\u5e94\u6ee1\u8db3\u8bed\u6cd5\u8981\u6c42\uff0c\u5c0f\u6570\u548c\u4e58\u53f7\u4e0d\u80fd\u6309\u7701\u7565\u5199\u6cd5\u3002<br>\n;;;=============================================================<br>\n(defun CAL:Expr2Func (expr sFunc sArgs \/ lst)<br>\n  (setq lst (CAL:Separate expr))\t\t\t\t;\u5148\u6309\u7167\u62ec\u53f7\u7a7a\u683c\u548c\u8fd0\u7b97\u7b26\u5206\u79bb\u5b57\u7b26<br>\n  (setq lst (CAL:Operators lst &#8216;((^ . expt)) ()))\t        ;\u4e58\u65b9\uff08\u5e42\uff09\u6700\u4f18\u5148<br>\n  (setq lst (CAL:Operators lst &#8216;((* . *) (\/ . \/) (% . rem)) ()));\u5176\u6b21\u4e58\u9664\u548c\u6c42\u6a21\u8fd0\u7b97<br>\n  (setq lst (CAL:Operators lst &#8216;((+ . +) (- . -)) ()))\t\t;\u6700\u540e\u5904\u7406\u52a0\u51cf\u6cd5\u8fd0\u7b97<br>\n  (defun-q-list-set sFunc (cons sArgs lst))\t\t\t;\u8868\u8fbe\u6210\u51fd\u6570<br>\n  sFunc<br>\n)<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u5b57\u7b26\u8868\u8fbe\u5f0f\u6c42\u503c<br>\n;;; \u8f93\u5165: expr&#8211;\u5b57\u7b26\u8868\u8fbe\u5f0f<br>\n;;; \u8f93\u51fa: \u8ba1\u7b97\u8868\u8fbe\u5f0f\u7684\u7ed3\u679c<br>\n;;; \u4f8b\u5b50: (CAL:Expr2Value &#8220;sin(1)+20*2&#8221;)<br>\n;;; \u7ed3\u679c: 40.8415<br>\n;;;=============================================================<br>\n(defun CAL:Expr2Value (expr \/ lst)<br>\n  (setq lst (CAL:Separate expr))\t\t\t\t;\u5148\u6309\u7167\u62ec\u53f7\u7a7a\u683c\u548c\u8fd0\u7b97\u7b26\u5206\u79bb\u5b57\u7b26<br>\n  (setq lst (CAL:Operators lst &#8216;((^ . expt)) ()))\t        ;\u4e58\u65b9\uff08\u5e42\uff09\u6700\u4f18\u5148<br>\n  (setq lst (CAL:Operators lst &#8216;((* . *) (\/ . \/) (% . rem)) ()));\u5176\u6b21\u4e58\u9664\u548c\u6c42\u6a21\u8fd0\u7b97<br>\n  (setq lst (CAL:Operators lst &#8216;((+ . +) (- . -)) ()))\t\t;\u6700\u540e\u5904\u7406\u52a0\u51cf\u6cd5\u8fd0\u7b97<br>\n  (eval (car lst))\t\t\t\t\t\t;\u6c42\u503c<br>\n)<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u5148\u5206\u79bb\u51fa\u51fd\u6570\u548c+-*\/%^\u8fd0\u7b97\u7b26\uff0c\u5176\u4f59\u5747\u89c6\u4f5c\u53d8\u91cf\u6216\u6570\u503c\uff0c<br>\n;;; \u5e76\u7b80\u5355\u68c0\u67e5\u62ec\u53f7\u5339\u914d\u3002<br>\n;;; \u8f93\u5165: expr&#8211;\u5b57\u7b26\u8868\u8fbe\u5f0f<br>\n;;; \u8f93\u51fa: \u51fd\u6570\uff08\u5305\u62ec\u8fd0\u7b97\u7b26\uff09\u548c\u53d8\u91cf\u53ca\u6570\u503c\u7684\u5217\u8868<br>\n;;;=============================================================<br>\n(defun CAL:Separate (expr \/ CHAR FUNS LASTCHAR LST Temp LBRACKET RBRACKET next)<br>\n  (setq expr (vl-string-translate &#8220;{[]}\\t\\n,&#8221; &#8220;(())   &#8221; expr))  ;\u66ff\u6362{[]}\\t\\n,\u5b57\u7b26<br>\n  (setq expr (strcase expr t))\t\t\t\t\t;\u5168\u90e8\u8f6c\u4e3a\u5c0f\u5199<br>\n  (setq funs &#8216;(&#8220;+&#8221; &#8220;-&#8221; &#8220;*&#8221; &#8220;\/&#8221; &#8220;^&#8221; &#8220;%&#8221; ))\t\t        ;\u6309\u7167\u57fa\u672c\u8fd0\u7b97\u7b26\u5206\u5272\u5b57\u7b26<br>\n  (setq Temp &#8220;&#8221;)<br>\n  (setq lst &#8220;(&#8220;)<br>\n  (setq Lbracket 0)\t\t\t\t\t\t;\u5de6\u62ec\u53f7\u8ba1\u6570\u5668<br>\n  (setq Rbracket 0)\t\t\t\t\t\t;\u53f3\u62ec\u53f7\u8ba1\u6570\u5668<br>\n  (while (\/= expr &#8220;&#8221;)<br>\n    (setq char (substr expr 1 1))                               ;\u5b57\u7b26\u4e32\u7684\u7b2c\u4e00\u4e2a\u5b57\u7b26<br>\n    (setq next (substr expr 2 1))\t\t\t\t;\u5b57\u7b26\u4e32\u7684\u7b2c\u4e8c\u4e2a\u5b57\u7b26<br>\n    (if\t(or (= char &#8220;(&#8220;)<br>\n\t    (= char &#8220;)&#8221;)\t\t\t\t\t;\u62ec\u53f7\u4e00\u5b9a\u662f\u5206\u9694\u7b26<br>\n\t    (and (= char &#8221; &#8220;) (\/= next &#8220;(&#8220;) (\/= next &#8221; &#8220;))      ;\u5982\u679c\u4e0d\u662f\u8fde\u7eed\u7684\u7a7a\u683c\u7b26<br>\n\t    (and (member char funs)\t\t\t\t;\u6839\u636e\u8fd0\u7b97\u7b26\u8fdb\u884c\u5206\u5272<br>\n\t         (not (CAL:isScientific temp lastchar char))    ;\u5ffd\u7565\u79d1\u5b66\u8ba1\u6570\u6cd5<br>\n\t    )<br>\n\t)<br>\n      (progn<br>\n\t(if (CAL:IsFunction (Read temp))\t\t\t;\u5982\u679c\u4e3a\u666e\u901a\u51fd\u6570<br>\n\t  (setq\tlst\t (strcat lst &#8220;(&#8221; Temp &#8221; &#8221; )\t\t;\u5219\u628a\u62ec\u53f7\u79fb\u81f3\u51fd\u6570\u7b26\u53f7\u524d<br>\n\t\tLbracket (1+ Lbracket)\t\t\t\t;\u5de6\u62ec\u53f7\u8ba1\u6570\u5668\u52a01<br>\n\t  )<br>\n\t  (progn<br>\n\t    (and (= char &#8220;(&#8220;) (setq Lbracket (1+ Lbracket)))    ;\u5de6\u62ec\u53f7\u8ba1\u6570\u5668\u52a01<br>\n\t    (and (= char &#8220;)&#8221;) (setq Rbracket (1+ Rbracket)))\t;\u53f3\u62ec\u53f7\u8ba1\u6570\u5668\u52a01<br>\n\t    (setq lst (strcat lst Temp &#8221; &#8221; char &#8221; &#8220;))<br>\n\t  )<br>\n\t)<br>\n\t(setq Temp &#8220;&#8221;)                                          ;\u5982\u679c\u662f\u51fd\u6570\u6216\u8005\u62ec\u53f7\u7a7a\u683c\u4e4b\u7c7b\uff0c\u5219\u5728\u6b64\u5904\u91cd\u65b0\u5f00\u59cb<br>\n      )<br>\n      (setq Temp (strcat Temp char))                            ;\u5426\u5219\u8fde\u53d6\u8fd9\u4e2a\u5b57\u7b26<br>\n    )<br>\n    (setq expr (substr expr 2))\t\t\t\t\t;\u5b57\u7b26\u4e32\u5269\u4e0b\u7684\u5b57\u7b26<br>\n    (setq lastchar char)<br>\n  )<br>\n  (if (\/= Lbracket Rbracket)\t\t\t\t\t;\u5982\u679c\u62ec\u53f7\u4e0d\u5e73\u8861<br>\n    (alert &#8220;\u62ec\u53f7\u4e0d\u5339\u914d(Mismatched Brackets)!&#8221;)\t\t\t;\u8b66\u544a\u4fe1\u606f<br>\n    (read (strcat lst Temp &#8220;)&#8221;))\t\t\t\t;\u5426\u5219\u8f6c\u4e3a\u8868<br>\n  )<br>\n)<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u5206\u6790+-*\/%^\u8fd0\u7b97\u7b26\uff0c\u5e76\u7ec4\u5408\u5230\u8868\u4e2d<br>\n;;; \u8f93\u5165: lst-\u5df2\u5206\u5272\u7684\u8868,funs-\u5f85\u5206\u6790\u7684\u8fd0\u7b97\u7b26,Recursive-\u662f\u5426\u9012\u5f52<br>\n;;; \u8f93\u51fa: \u51fd\u6570\uff08\u5305\u62ec\u8fd0\u7b97\u7b26\uff09\u548c\u53d8\u91cf\u53ca\u6570\u503c\u7684\u5217\u8868<br>\n;;;=============================================================<br>\n(defun CAL:Operators (lst funs Recursive \/ fun L n)<br>\n  (foreach a lst<br>\n    (if\t(listp a)<br>\n      (setq a (CAL:Operators a funs T))\t\t\t\t;\u5982\u679c\u5143\u7d20\u4e3a\u8868\uff0c\u5219\u9012\u5f52\u8fdb\u53bb<br>\n    )<br>\n    (if (= (type a) &#8216;INT)<br>\n      (setq a (float a))<br>\n    )<br>\n    (if\t(setq fun (cdr (assoc (car L) funs)))                   ;\u524d\u4e00\u4e2a\u7b26\u53f7\u4e3a+-*\/%^\u8fd0\u7b97\u7b26<br>\n      (if (or (null (setq n (cadr L)))                          ;\u524d\u524d\u4e00\u4e2a\u7b26\u53f7\u4e3a\u7a7a<br>\n\t      (and (VL-SYMBOLP n) (CAL:IsFunction n))           ;\u6216\u8005\u662f\u51fd\u6570\u7b26\u53f7<br>\n\t  )<br>\n\t(setq L (cons (list fun a) (cdr L)))                    ;\u65e0\u987b\u4ea4\u6362\u4f4d\u7f6e<br>\n\t(setq L (cons (list fun n a) (cddr L)))\t                ;\u4ea4\u6362\u8fd0\u7b97\u7b26\u548c\u64cd\u4f5c\u6570\u4f4d\u7f6e<br>\n      )<br>\n      (setq L (cons a L))                                       ;\u5176\u4ed6\u7684\u4e0d\u505a\u6539\u53d8<br>\n    )<br>\n  )<br>\n  (setq n (car L))<br>\n  (if (and Recursive (not (cadr L)) (or (listp n) (numberp n))) ;\u5982\u679c\u662f\u9012\u5f52\u7684,\u800c\u4e14\u53ea\u6709\u4e00\u4e2a\u5143\u7d20\uff0c\u4e14\u8fd9\u4e2a\u5143\u7d20\u4e3a\u8868\u6216\u8005\u6570\u5b57<br>\n    n\t\t\t\t\t\t\t\t;\u90a3\u4e48\u5c31\u53ea\u53d6\u8fd9\u4e2a\u5143\u7d20\uff0c\u4ee5\u9632\u6b62\u591a\u4f59\u62ec\u53f7\u51fa\u73b0<br>\n    (reverse L)\t\t\t\t\t\t\t;cons\u8fd0\u7b97\u540e\u7684\u53cd\u8f6c\u8868\u5217<br>\n  )<br>\n)<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u5224\u65ad\u4e00\u4e2a\u7b26\u53f7\u662f\u4e0d\u662f\u666e\u901a\u51fd\u6570\uff08\u5185\u90e8\u51fd\u6570\u6216\u81ea\u5b9a\u4e49\u51fd\u6570\uff09<br>\n;;;=============================================================<br>\n(defun CAL:IsFunction (n \/ s)<br>\n  (setq s (type (eval n)))<br>\n  (and (or (= s &#8216;SUBR) (= s &#8216;USUBR)) (not (member n &#8216;(+ &#8211; * \/))))<br>\n)<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u68c0\u6d4b\u4e00\u4e2a\u5b57\u7b26\u4e32\u662f\u5426\u662f\u79d1\u5b66\u8ba1\u6570\u6cd5(\u662f\u5426\u6709\u66f4\u597d\u65b9\u6cd5?)<br>\n;;;=============================================================<br>\n(defun CAL:isScientific (temp lastchar char)<br>\n  (and (= lastchar &#8220;e&#8221;) (numberp (read (strcat temp char &#8220;0&#8221;))))<br>\n)<\/p>\n<p>;;;=============================================================<br>\n;;; \u51fd\u6570\u76ee\u7684: \u68c0\u67e5\u51fd\u6570\u8868\u8fbe\u5f0f\u8f6c\u51fd\u6570\u7684\u7ed3\u679c<br>\n;;; \u8f93\u5165: lst,\u7528cal:expr2func\u6c42\u5f97\u7684\u8868<br>\n;;; \u8f93\u51fa: \u5982\u679c\u8868\u8fbe\u5f0f\u91cc\u6709\u975e\u53c2\u6570\u4e14\u672a\u8d4b\u503c\u7684\u53d8\u91cf\u7b26\u53f7\u5219\u8fd4\u56denil, \u5426\u5219T<br>\n;;; \u4f8b\u5b50: (CAL:CheckFunc (CAL:Expr2func &#8220;sin(a)+20*2&#8221; &#8216;fx &#8216;(x)))<br>\n;;; \u7ed3\u679c: nil<br>\n;;;=============================================================<br>\n(defun CAL:CheckFunc (lst \/ isOK CAL:TempSym Args)<br>\n  (setq IsOK T)<br>\n  (setq Args (car lst))<br>\n  (while (setq lst (cdr lst))<br>\n    (setq CAL:TempSym (car lst))                                ;\u5bf9\u8868\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20<br>\n    (if\t(listp CAL:TempSym)\t\t\t\t\t;\u5982\u679c\u8fd9\u4e2a\u5143\u7d20\u4e3a\u8868<br>\n      (if CAL:TempSym<br>\n\t(setq IsOk (CAL:CheckFunc (cons Args CAL:TempSym)))\t;\u4e14\u4e0d\u4e3a\u7a7a\u5219\u9012\u5f52\u8fdb\u53bb<br>\n\t(setq IsOk nil)                                         ;\u5426\u5219\u68c0\u6d4b\u7ed3\u679c\u4e3a\u5047<br>\n      )<br>\n      (if (and (vl-symbolp CAL:TempSym)                         ;\u5982\u679c\u662f\u4e00\u4e2a\u7b26\u53f7<br>\n\t       (not (member CAL:TempSym Args))\t\t\t;\u4e14\u4e0d\u4e3a\u53c2\u6570\u8868\u4e2d\u7684\u7b26\u53f7<br>\n\t       (not (vl-symbol-value CAL:TempSym))              ;\u4e14\u672a\u8d4b\u503c<br>\n\t  )<br>\n\t(setq IsOk nil)\t\t\t\t\t\t;\u5219\u68c0\u6d4b\u7ed3\u679c\u4e3a\u5047<br>\n      )<br>\n    )<br>\n    (if\t(null IsOK)<br>\n      (setq lst nil)<br>\n    )<br>\n  )<br>\n  IsOK<br>\n)<\/p>\n<p>[\/codesyntax]<\/p>\n\n\n<p>\n<\/p>\n\n\n<p>[codesyntax lang=&#8221;lisp&#8221;]<br>\n;;;=============================================================<br>\n;;;\u4ee5\u4e0b\u51fd\u6570\u4e3a\u81ea\u5b9a\u4e49\u7684\u4e00\u4e9b\u7b80\u5355\u7684\u6570\u5b66\u51fd\u6570<br>\n;;;=============================================================<br>\n(defun r2d (x) (* 57.2957795130823208768 x))                    ;\u5f27\u5ea6\u8f6c\u5ea6<br>\n(defun d2r (x) (* 0.01745329251994329577 x))                    ;\u5ea6\u8f6c\u5f27\u5ea6<br>\n(defun int (x) (atoi (rtos x 2 0)))                             ;\u56db\u820d\u4e94\u5165\u53d6\u6574\u51fd\u6570<br>\n(defun ceil (x) (1+ (fix x)))                                   ;\u5929\u82b1\u677f\u51fd\u6570<br>\n(defun ln (x) (log x))            \t\t\t\t;\u4ee5e\u4e3a\u5e95\u7684\u5bf9\u6570\u51fd\u6570<br>\n(defun log10 (x) (* (log x) 0.43429448190325182765))            ;\u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570\u51fd\u6570<br>\n(defun exp10 (x) (expt 10 x))\t\t\t\t\t;\u4ee510\u4e3a\u5e95\u7684\u6307\u6570\u51fd\u6570<br>\n(defun pow (x y) (expt x y))                                    ;\u6307\u6570\u51fd\u6570<br>\n(defun tan (x) (\/ (sin x) (cos x)))\t\t\t\t;\u6b63\u5207\u51fd\u6570<br>\n(defun cot (x) (\/ (cos x) (sin x)))\t\t\t\t;\u4f59\u5207\u51fd\u6570<br>\n(defun sec (x) (\/ 1 (cos x)))                                   ;\u6b63\u5272\u51fd\u6570<br>\n(defun csc (x) (\/ 1 (sin x)))\t\t\t\t\t;\u4f59\u5272\u51fd\u6570<br>\n(defun asin (x) (atan x (sqrt (- 1 (* x x)))))                  ;\u53cd\u6b63\u5f26\u51fd\u6570<br>\n(defun acos (x) (atan (sqrt (- 1 (* x x))) x))\t\t\t;\u53cd\u4f59\u5f26\u51fd\u6570<br>\n(defun sinh (x) (* 0.5 (- (exp x) (exp (- x)))))\t\t;\u53cc\u66f2\u6b63\u5f26\u51fd\u6570<br>\n(defun cosh (x) (* 0.5 (+ (exp x) (exp (- x)))))\t\t;\u53cc\u66f2\u4f59\u5f26\u51fd\u6570<br>\n(defun tanh (x) (- 1 (\/ 2 (1+ (exp (+ x x)))))) \t\t;\u53cc\u66f2\u6b63\u5207\u51fd\u6570<br>\n(defun coth (x) (\/ 1 (tanh x)))\t\t\t\t\t;\u53cc\u66f2\u4f59\u5207\u51fd\u6570<br>\n(defun sech (x) (\/ 1 (cosh x)))\t\t\t\t\t;\u53cc\u66f2\u6b63\u5272\u51fd\u6570<br>\n(defun csch (x) (\/ 1 (sinh x)))\t\t\t\t\t;\u53cc\u66f2\u4f59\u5272\u51fd\u6570<br>\n(defun asinh (x) (log (+ x (sqrt (1+ (* x x))))))\t\t;\u53cd\u53cc\u66f2\u6b63\u5f26\u51fd\u6570=log(x+sqrt(x*x+1))<br>\n(defun acosh (x) (log (+ x (sqrt (1- (* x x))))))       \t;\u53cd\u53cc\u66f2\u4f59\u5f26\u51fd\u6570=log(x+sqrt(x*x-1))<br>\n(defun atanh (x) (log (sqrt (\/ (+ 1 x)(- 1 x)))))\t\t;\u53cd\u53cc\u66f2\u6b63\u5207\u51fd\u6570=log(sqrt((1+x)\/(1-x)))<br>\n(defun revSign (x) (- x))\t\t\t\t\t;\u53cd\u53f7\u51fd\u6570<br>\n(defun reciprocal (x) (\/ 1.0 x))\t\t\t\t;\u5012\u6570<br>\n(defun sqr (x) (* x x))\t\t\t\t\t\t;\u5e73\u65b9\u51fd\u6570<br>\n(defun cube (x) (* x x x))\t\t\t\t\t;\u7acb\u65b9\u51fd\u6570<br>\n(defun cuberoot\t(x)\t\t\t\t\t\t;\u7acb\u65b9\u6839\u51fd\u6570<br>\n  (if (minusp x)<br>\n    (- (expt (- x) 0.333333333333333333333))<br>\n    (expt x 0.333333333333333333333)<br>\n  )<br>\n)<br>\n(defun round (x \/ y)\t\t\t\t\t\t;\u56db\u820d\u4e94\u5165\u51fd\u6570<br>\n  (setq y (fix x))<br>\n  (if (&lt; (abs (- x y)) 0.5)<br>\n    y<br>\n    (if (&lt; x 0)<br>\n      (1- y)<br>\n      (1+ y)<br>\n    )<br>\n  )<br>\n)<br>\n[\/codesyntax]<br>\n<!-- \/wp:post-content --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p><\/p>\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e9b\u6d4b\u8bd5\uff1a<\/p>\n<p>[codesyntax lang=&#8221;lisp&#8221;]<br>\n;;; \u4f8b\u5b50:<br>\n;;; (CAL:Separate &#8220;(sin(-x)-cos(-x+(1+8*(2\/7))+2^4-5))*0.5-0.5e-20+20*cos(x)+20&#8221;)<br>\n;;; \u7ed3\u679c: ((SIN &#8211; X) &#8211; (COS &#8211; X + (1 + 8 * (2 \/ 7)) + 2 ^ 4 &#8211; 5))<br>\n;;; (CAL:Expr2Func &#8220;(sin(+x)-cos(-x+(1+8*(2\/7))+(2^4)-5))*0.5-0.5e-20+20*cos(x)+20&#8221; &#8216;test &#8216;(x))<br>\n;;; \u7ed3\u679c: \u5b9a\u4e49\u4e86\u4e00\u4e2a\u540d\u4e3atest\u7684\u51fd\u6570\uff0c\u53c2\u6570\u7b26\u53f7\u4e3ax<br>\n;;; (CAL:Expr2Value &#8220;(sin(+0.5)-cos(-pi+(1+8*(2\/7))+(2^4)-5))*0.5-0.5e-20+20*cos(pi\/2)+20&#8221;)<br>\n;;; \u7ed3\u679c: 20.6616<br>\n;;; \u4ee5\u4e0b\u662f\u5173\u4e8e\u8fd9\u4e2a\u7a0b\u5e8f\u7684\u5176\u4ed6\u65b9\u6cd5\uff1a<br>\n;;; \u65b9\u6cd5\u4e00:\u7528cal\u51fd\u6570\u8ba1\u7b97<br>\n;;; \u5982:(cal &#8220;1+4+5*2+(5+5)\/2+((6+6)\/2+(5+5)\/2)&#8221;)<br>\n;;; \u4f18\u70b9\uff1aCAD\u5185\u7f6e\u51fd\u6570\u3002<br>\n;;; \u7f3a\u70b9\uff1a\u8fd9\u4e2a\u51fd\u6570\u8981\u6c42\u5148\u8981\u52a0\u8f7dcal\u51fd\u6570.\u5e76\u4e14\u4e09\u89d2\u51fd\u6570\u4f1a\u81ea\u52a8\u628a\u53d8\u91cf\u6216\u8005\u6570\u503c\u7406\u89e3\u4e3a\u89d2\u5ea6\u3002<br>\n;;; \u65b9\u6cd5\u4e8c:wcs\u811a\u672c\u8bed\u8a00\u6cd5,\u65e0\u75d5\u63d0\u51fa\u7684\u4e00\u79cd\u65b9\u6cd5<br>\n;;; (setq wcs (vla-GetInterfaceObject (vlax-get-acad-object) &#8220;ScriptControl&#8221;))<br>\n;;; (vlax-put-property wcs &#8220;language&#8221; &#8220;vbs&#8221;)<br>\n;;; (vla-eval wcs &#8220;1+4+5*2+(5+5)\/2+((6+6)\/2+(5+5)\/2)&#8221;)  ;\u8fd4\u56de -&gt;31.0<br>\n;;; \u4f18\u70b9\uff1a\u80fd\u6309\u7167vb\u7684\u8bed\u6cd5\u76f4\u63a5\u8ba1\u7b97\u3002<br>\n;;; \u7f3a\u70b9\uff1a\u96be\u4ee5\u5b9a\u4e49\u8868\u8fbe\u5f0f\u4e3a\u51fd\u6570\uff0c\u4e0d\u80fd\u5229\u7528\u81ea\u5b9a\u4e49\u51fd\u6570\uff0c\u572864\u4f4dCAD\u4e0a\u6b64\u6cd5\u884c\u4e0d\u901a\uff0c\u56e0\u4e3a\u4e0d\u80fd\u521b\u5efa\u811a\u672c\u5bf9\u8c61\u3002<br>\n;;; \u4e0b\u9762\u4f8b\u5b50\u4e3a\u5728CAD\u4e2d\u7ed8\u5236\u51fd\u6570\u56fe\u50cf<br>\n(defun c:test1(\/ expr a b d x y e pts)<br>\n  (setq expr (getstring &#8220;\\n\u8bf7\u8f93\u5165\u8868\u8fbe\u5f0f:&#8221;))<br>\n  (initget 1)<br>\n  (setq a (getreal &#8220;\\n\u4e0a\u5c4a:&#8221;))<br>\n  (initget 1)<br>\n  (setq b (getreal &#8220;\\n\u4e0b\u5c4a:&#8221;))<br>\n  (if (CAL:EXPR2FUNC  expr &#8216;test &#8216;(x))<br>\n    (progn<br>\n      (setq d (\/ (- b a) 1000.0))<br>\n      (setq x a)<br>\n      (setq pts nil)<br>\n      (repeat 1000<br>\n\t(setq x (+ x d))<br>\n\t(setq y (test x))<br>\n\t(setq pts (cons (list x y 0) pts))<br>\n      )<br>\n      (setq pts (reverse pts))<br>\n      (setq e (Entmake (list &#8216;(0 . &#8220;POLYLINE&#8221;) &#8216;(70 . 8))))<br>\n      (foreach p pts<br>\n        (entmake (list &#8216;(0 . &#8220;VERTEX&#8221;) &#8216;(70 . 32) (cons 10 p)))<br>\n      )<br>\n      (entmake &#8216;((0 . &#8220;SEQEND&#8221;)))<br>\n      (entlast)<br>\n    )<br>\n  )<br>\n)<\/p>\n<p>;;; \u5728CAD\u4e2d\u7ed8\u5236\u53c2\u6570\u66f2\u7ebf<br>\n;;; x=a*(2*cos(t)-cos(2*t))<br>\n;;; y=a*(2*sin(t)-sin(2*t))<br>\n(defun c:test2 (\/ expr1 expr2 a b d k x y pts e)<br>\n  (setq expr1 &#8220;3*(2*cos(k)-cos(2*k))&#8221;)<br>\n  (setq expr2 &#8220;3*(2*sin(k)-sin(2*k))&#8221;)<br>\n  (setq a 0)<br>\n  (setq b (+ pi pi))<br>\n  (CAL:EXPR2FUNC expr1 &#8216;fx &#8216;(k))<br>\n  (CAL:EXPR2FUNC expr2 &#8216;fy &#8216;(k))<br>\n  (setq d (\/ (- b a) 360))<br>\n  (setq k a)<br>\n  (setq pts nil)<br>\n  (repeat 360<br>\n    (setq k (+ k d))<br>\n    (setq x (fx k))<br>\n    (setq y (fy k))<br>\n    (setq pts (cons (list x y 0) pts))<br>\n  )<br>\n  (setq pts (reverse pts))<br>\n  (setq e (Entmake (list &#8216;(0 . &#8220;POLYLINE&#8221;) &#8216;(70 . 9))))<br>\n  (foreach p pts<br>\n    (entmake (list &#8216;(0 . &#8220;VERTEX&#8221;) &#8216;(70 . 32) (cons 10 p)))<br>\n  )<br>\n  (entmake &#8216;((0 . &#8220;SEQEND&#8221;)))<br>\n  (entlast)<br>\n)<\/p>\n<p>;;; \u5b9a\u4e49\u4e3a\u51fd\u6570\u540e\uff0c\u660e\u663e\u901f\u5ea6\u5feb\u591a\u4e86<br>\n(defun c:test3(\/ str1 str2 x)<br>\n  (setq str1 &#8220;(sin(+x)-cos(-x+(1+8*(2\/7.0))+(2^4)-5))*0.5-0.5e-20+20*cos(x)+20&#8221;)<br>\n  (setq str2 &#8220;(sin(r2d(x))-cos(r2d(-x+(1+8*(2\/7.0))+(2^4)-5)))*0.5-0.5e-20+20*cos(r2d(x))+20&#8221;)<br>\n  (CAL:Expr2Func str1 &#8216;f1 &#8216;(x))<br>\n  (setq x 12)<br>\n  (uti:bench 1000<br>\n    (list<br>\n      (cons &#8216;f1 &#8216;(12))<br>\n      (cons &#8216;CAL:Expr2Value (list str1))<br>\n      (cons &#8216;cal (list str2))<br>\n    )<br>\n  )<br>\n)<br>\n[\/codesyntax]<\/p>\n<p><!-- \/wp:paragraph --><\/p>","protected":false},"excerpt":{"rendered":"<p>\u8868\u8fbe\u5f0f\u4e00\u822c\u6765\u8bf4\u6709\u4e09\u79cd\uff1a\u524d\u7f00\u8868\u8fbe\u5f0f\u3001\u4e2d\u7f00\u8868\u8fbe\u5f0f\u3001\u540e\u7f00\u8868\u8fbe\u5f0f\uff0c\u5176\u4e2d\u540e\u7f00\u8868\u8fbe\u5f0f\u53c8\u53eb\u505a\u9006\u6ce2\u5170\u8868\u8fbe\u5f0f\u3002\u4e2d\u7f00\u8868\u8fbe\u5f0f\u662f\u6700\u7b26\u5408<\/p>\n<p class=\"more-link\"><a href=\"https:\/\/www.highflybird.com\/blog\/?p=4563\" class=\"themebutton2\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4563","post","type-post","status-publish","format-standard","hentry","category-programming"],"_links":{"self":[{"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4563","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4563"}],"version-history":[{"count":0,"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4563\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4563"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4563"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.highflybird.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4563"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}