Cross：智能的多曲線相交清理工具

05-14

故事：

Cross的故事延續的非常久遠，因為最初的版本還是在20多年之前的AutoCAD R12.0的時代。Cross也是KozMos最早的獨立商業化程序。不過新的Cross與最初的Cross相比，已經是全新設計的軟體了。當然跟Win10與最初DOS時代的Windows 3.1已經完全不是同一個軟體一樣，新舊Cross的最基本的設計核心目標、功能還是一致的，不過新的版本更加智能和方便，功能也更加強大。

在AutoCAD R12.0的時代，PC平台是沒有什麼三維的輔助設計軟體，全部都是在二維的基礎上由線和多義線構成。畫圖的都知道，一張圖紙工作量的80%是在不斷地調整修改設計。使用雙線繪製牆體時，牆體相關的修改會導致需要大量的牆體相交位置的處理，當時是機械地以0為半徑FILLET並一根根點取牆線，實實在在是個體力活。

Cross就是在這種「簡化這種損耗滑鼠左鍵的重複勞動」的需求下出現的，最早的版本是由當時一個師兄設計的。該位老兄當時的程序水平很高，我也是被他帶到自己定製AutoCAD的坑裡的，以致於後來天正等軟體出來之後，從來都不用而一直堅持自己根據需要設計程序完成工作。幸運的是他共享了初代Cross的源代碼給我，在這個基礎上，我也開始慢慢根據自己的實際工作需要進行調整。不過當時自己的水平也實在是比較菜，他的核心演算法完全看不懂，也就沒法做進一步的優化。

第一次突破發生在2000年左右，當時的AutoCAD2000開始支持VLX，相對於AutoCAD R14.0僅能使用VLIDE編譯成ARX的方式，VLX的文件更小，穩定性更高，兼容性也更好。第二次是在2004年，當時已經比較熟練地掌握了Visual LISP，同時在圖形學的研究上也有了更多的心得，程序編製水平和能力也有了較大的提高。在這些基礎上，終於有能力可以重新設計核心處理程序，也開始嘗試將程序發布在互聯網上並收穫了第一個註冊的用戶----來自希臘。

後繼的版本就是在2004年的核心程序基礎上進行擴展，最大的一個擴展是從僅僅支持直線擴展為可以有限支持曲線。Cross程序基本在2006年定型，2015年底正式發布在Autodesk的程序商店。目前的發布僅僅有英文版本，不過與所有的KozMos程序一樣，程序內置同時支持英文、簡體中文和繁體中文，當運行在中文的Windows或者AutoCAD時會自動切換至中文版本。

功能：

Cross主要用於清理直線及曲線之間的交叉連接關係，每次處理的直線及曲線數量為兩到四條，根據數目的不同，其結果也各異。在選擇處理的直線及曲線是，直接通過框選並附加圖層過濾的方式，每次框選獲取的直線及曲線數目符合要求時，就直接運行處理。

紅色矩形為矩形選取框

演算法：

因為直線及曲線的數量不同，其結果也可能會各異。為此，在演算法上進行了分組分類的處理方式，根據直線及曲線與框選矩形範圍的關係，進行不同方式的解析：

如果直線及曲線的首末點全部位於框選範圍內，則視為多餘的，不參與後繼的直線及曲線數目統計，處理上直接刪除
如果直線及曲線的首末點中有一個位於框選範圍內，則視為放射曲線，在處理上以修正框選範圍內端點位置為主
如果直線及曲線的首末點均不位於框選範圍內，則視為穿越曲線，對於穿越曲線，僅可能採取兩種處理方式：中間打斷（如果有兩個及以上的交點也位於框選範圍內）或者不處理（作為放射曲線端點調整的邊界）

對於符合數量要求的不同曲線類型組合（如1穿越+2放射，2穿越+2放射，1穿越+1放射），採取枚舉對應組合的處理方式，具體可在APP的幫助文檔中查詢到。

彌合：

對於共線或者部分重合的放射直線，Cross支持自動彌合直線，如下圖。

智能：

因為程序以枚舉的方式來處理各種曲線的組合情況，Cross具有一定程度的智能化處理特徵。但是這種「智能」在底層，是需要用戶根據視圖中曲線的關係來判斷和指定框選範圍。對於同樣的曲線關係，框選範圍不同可能會得到不同的結果：

直曲：

曲線因為自身數據的多樣性（LWPOLYLINE、SPLINE）及複雜性，處理曲線的Cross在處理複雜曲線時可能會出現無法處理或者結果非預想的情況。同時處理曲線時，為獲取位於延長線上的交點，會臨時將放射曲線在框選範圍內延伸。

設置：

Cross支持一些基本的設定，包括處理的線條所在的圖層或者自動進行共線直線的彌合。

----------我是分隔線----------

也是非常遺憾的一件事情，2007年曾經丟失過一次移動硬碟，裡面有所有早期的Cross源程序，很可惜沒有在其他地方備份，早期發布在網上的Cross又都是被編譯過的，就沒有機會將早期的版本源代碼共享出來。

----------我是好消息分隔線----------

今天翻曉東論壇，偶然發現了2003年發表在上面的最早期版本的Cross源代碼，有興趣的可以自行在此下載：

;|這是99年的程序，基本上是後來的SuperCross2002的程序核心。這個程序最早是由梁國標在1993年編的，我做了一點點的優化，加了一些外殼式的模塊。由於在當時的經驗下，程序非常啰嗦，以至於我後來基本都沒有改動主模塊。不過這老兄也可以，我至今都沒有弄清楚演算法。我最近在重新編寫SuperCross2004的代碼，所以把這個古老的代碼翻了出來。開始想參考，不過由於搞不懂，我採用了新的演算法。由於使用了新的演算法，這種演算法就不算什麼了。在此提供給大家源代碼供學習和研究。程序說明：SuperCross僅可以處理由2到4條直線（圖層不限）構成的牆角類型的交叉直線的清理。具體的類型可參照http://www.ikozmos.com/htmls/products/supercross2002.htm。這個軟體是相當智能化的，程序可處理三種最常見的交叉類型：T/+/L雖然已經這麼多年了，還是希望保留所有的版權信息。畢竟尊重別人的勞動就是尊重我們自己的勞動。我都有許多年沒有見到梁國標了，基本上同他已經失去了聯繫。但是說實話，真要謝謝他在最初學習LISP時給的幫助，同時他的這個軟體在過去的許多年裡，也真的給許多人帶來了使用的方便和時間的節省。對本程序的版權聲明如免費軟體。可自由使用，但嚴禁用於商業目的。同時請保留所有已有的版權信息。|;(DEFUN C:CS (/ CS_SETLYR CS_GETMSG CS_CROSS CS_SETUP ) (DEFUN CS_SETLYR (A) (IF (TBLSEARCH "layer" A) (COMMAND "_layer" "_t" A "_u" A "_on" A "_s" A "") (COMMAND "_layer" "_m" A "") ) ) (DEFUN CS_GETMSG (A B / C CS_SUBSTR) (DEFUN CS_SUBSTR (A B C / D E F G H) (SETQ D T) (WHILE D (IF (WCMATCH C (STRCAT "*`" B "*")) (PROGN (SETQ E 1 F (STRLEN B) ) (WHILE E (IF (= B (SUBSTR C E F)) (PROGN (IF (= 1 E) (SETQ G "") (SETQ G (SUBSTR C 1 (1- E) ) ) ) (SETQ H (SUBSTR C (+ E F)) C (STRCAT G A H) E NIL ) ) (SETQ E (1+ E)) ) ) ) (SETQ D NIL) ) ) C ) (IF (NULL B) (SETQ B "") ) (IF (NULL (SETQ C (CDR (ASSOC A CS:APPMSG)))) (SETQ C "") ) (IF (WCMATCH C "*`%1`%*") (SETQ C (CS_SUBSTR B "%1%" C)) ) C ) (DEFUN CS_SETUP () (if (= (getvar "SysCodePage") "ANSI_936") (setq CS:APPMSG (LIST (CONS 0 " 完成! 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