[分享]绝对随机网点分布（excel之vba） [复制链接]

想学习的请研究下，直接给程序就没意思了，由于公司想做一套导光板的模具，没有现成的软件可用，就自己做了较简单的程序，虽然简单，但基本功能已经满足了导光板网点设计的要求；具备功能：任意多边形区域；含有光轴，且可以根据光源调整；网点密度可沿光轴方向调整，效果图如下： ^$y_~z3o#7  
!Jj=H()}  
R%Yws2Le2  

关键点说几个： 8L 9;VY^Y  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 1W HR;!u  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 xZmKKKd0*  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 _wf
"E(c3D  

以下是几个重要的函数： #D+Fq^="P  
1.判断点在区域中函数 ^m8\fCA*  
2.计算夹角函数 v-[|7Pg}Z  
3.转置函数 k=bv!T_o  
4.得到区域中心点，及区域半径函数 EGGy0ly  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） g)&-S3\  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 a9jY^E'|n  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ^#^u90I  
   cax = x2 - x1 Z@C D1+G  
   cay = y2 - y1 =AcbX
_[  
   cbx = x2 - x3 3y 3 U`Mo  
   cby = y2 - y3 a/)TJv  
   mo_jj = cax * cbx + cay * cby ?QVD)JI*k  
   mo_ca = Sqr(cax * cax + cay * cay) o~>p=5t  
   mo_cb = Sqr(cbx * cbx + cby * cby) {/0,lic  
   cos_acb = mo_jj / (mo_ca * mo_cb) <!OP b(g2  
   'ff_cos = cos_acb 'T|.<u@~  
   If cos_acb >= 1 Then vlj|[joXw  
   nn = 0 S-f3rL[?  
   ElseIf cos_acb <= -1 Then <U,T*Ql1x  
   nn = 3.14159265258979 ,CM$A}7[  
   Else (uV7N7 <1  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) P<4jY?.  
   End If H#Og0gEE}5  
   'ff_angle = nn '{oe}].,
 
   ff_angle = nn * 180 / 3.14159265258979 bh7 1Zu  
End Function

'判断点在区域内函数 giu~"#0/F  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean iPFYG  
Dim aob, boc, cod, doa, sum As Single "!Qhk3*  
  If ppx = p1x And ppy = p1y Then *V"
cu  
     point_in = True ~l}TlRqL  
     Exit Function |y:DLsom?i  
  End If RD_;us@&&*  
  If ppx = p2x And ppy = p2y Then O5=ggG  
     point_in = True 9lD,aOb  
     Exit Function 'Vrev8D  
  End If "rKIXy  
   If ppx = p3x And ppy = p3y Then xY~ DMcO?  
     point_in = True pKH4?F  
     Exit Function 93!a  
  End If Iiy:<c  
     Uv+pdRXn  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 3tm z2JIb  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) NqwVsVL  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Q[b({Vj;tG  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) f<}!A$wd  
    sum = aob + boc + cod + doa Fb``&-Qm:  
    If 360.01 > sum And sum > 359.99 Then - 5k4vx N}  
       point_in = True ~<Lf@yu-{  
    Else tm|lqa  
       point_in = False n7MS{`  
    End If 
}DM2#E`_  
End Function

'得到点半径,得到交点坐标函数 <eh(~  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() a:|4q  
    '求得中心点坐标 ;OPCBdr  
Dim tt As String ]8_h9ziz
 
Dim rt(3) As Single tZ@+18  
    '判断是否平行 \G=E%aK  
   acx = p3x - p1x Gzir>'d2'V  
   acy = p3y - p1y n% `r  
   bdx = p4x - p2x )>Q 2G/@  
   bdy = p4y - p2y 28)TXRr-  
   If acx * bdy = acy * bdx Then &S3W/lQs  
      rt(0) = 0 PPqTmx5S  
      Exit Function z8j(SI;3  
   Else -oZac  
      '判断斜率存在否 h/fCCfO,  
      If p1x = p3x And p2x <> p4x Then @\DD|o67  
         tt = "ac_n_bd_y" x<Zhj3  
      ElseIf p1x <> p3x And p2x = p4x Then {.lF~cOu  
         tt = "ac_y_bd_n"  `JE>GZY  
      ElseIf p1x <> p3x And p2x <> p4x Then )PG,K4z  
         tt = "ac_y_bd_y" x7@WWFF>  
      End If rq1kj 8%2  
    Select Case tt &V?q d{39  
         Case "ac_n_bd_y" I1myuZ  
            'bd线段方程 @gqw]
_W  
            k_bd = bdy / bdx S[a5k;8GL  
            b_bd = p2y - k_bd * p2x g&"(- :  
            p_x = p1x (v`;ym  
            p_y = k_bd * p_x + b_bd 0`!Q-G7  
         Case "ac_y_bd_n" V{h@nhq  
            'ac线段方程 ^c\IZ5  
            k_ac = acy / acx ya{>=  
            b_ac = p1y - k_ac * p1x }R1`ThTM  
            p_x = p2x ' 4~5ez|:  
            p_y = k_ac * p_x + b_ac
HL
e
^|  
        Case "ac_y_bd_y" <]'"e]  
           'ac，bd线段都要求 +2zuIW.  
           k_ac = acy / acx Hk]BC
 
           b_ac = p1y - k_ac * p1x $&8h=e~]-  
           k_bd = bdy / bdx O$Vm#|$sq  
           b_bd = p2y - k_bd * p2x 30_un  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) W"kw>JEt  
           p_y = k_ac * p_x + b_ac m"G N^V7  
        End Select Is@a,k  
      rt(1) = p_x ~B&
*7Q7  
      rt(2) = p_y ,w%oSlOu  
     %;Z bQ9  
'计算最大半径 w`}9/s;$  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) {%_j~  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) %EGr0R(  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) e_=pspnZ  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Tq84Fn!HJ>  
Dim bb(5) As Single olMO+-USP  
  bb(1) = rr1 qu~|d}0  
  bb(2) = rr2 eFSC^  
  bb(3) = rr3 ,%h!%nz!  
  bb(4) = rr4 Yg)V*%0n  
  nb = rr1 d=Do@) m|  
For i = 1 To 4 (b%y$D  
    If nb <= bb(i) Then &^IcL!t[  
       nb = bb(i) F4rKFMr  
    End If cHL]y0>  
Next i ey)u7-O  
    rt(0) = Sqr(nb) }E5#X R  
    rr = rt() T;4`wB8@  
  End If f9,EWuQNS  
         P=^#%7J/l  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  X JY5@I.  

'>3`rsu  
有热压工艺方面的人才或者资料分享下； [pii  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 <EMkD1e  

高手真多！

楼主威武霸气.