[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： UCI !>G  
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图片:2.jpg

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关键点说几个： Is#w=s}2  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Vc?=cQ'c  
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 #*x8)6Ct  
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 G_)(?  

以下是几个重要的函数： 8|H^u6+yz  
1.判断点在区域中函数 IM*T+iRKqF  
2.计算夹角函数 c
^%&-],  
3.转置函数 :?J0e4.]  
4.得到区域中心点，及区域半径函数 Lk:Sju  
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） y-k]Tr  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 XR.Sm<A[  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single -:
NFF'  
   cax = x2 - x1 $5S/~8g(  
   cay = y2 - y1 {3R?<ET]mt  
   cbx = x2 - x3 a+#Aitd  
   cby = y2 - y3 >4x~US[VB  
   mo_jj = cax * cbx + cay * cby .Q$/\E  
   mo_ca = Sqr(cax * cax + cay * cay) Q=T/hb  
   mo_cb = Sqr(cbx * cbx + cby * cby) *hZ{>  
   cos_acb = mo_jj / (mo_ca * mo_cb) ^7$V>|  
   'ff_cos = cos_acb a?5R;I B  
   If cos_acb >= 1 Then /FW{>N1  
   nn = 0 Q~S3d  
   ElseIf cos_acb <= -1 Then <Q|(dFr`v  
   nn = 3.14159265258979 N\Li/  
   Else 6O# xV:Uc<  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) iqh"sx{5bp  
   End If M<VZISu)dy  
   'ff_angle = nn ~LufHbr  
   ff_angle = nn * 180 / 3.14159265258979 b0a
blVk  
End Function

'判断点在区域内函数 d-BUdIz  
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 /C"?Y'  
Dim aob, boc, cod, doa, sum As Single 9m:G8j'  
  If ppx = p1x And ppy = p1y Then 6i.!C5YX]  
     point_in = True =abBD   
     Exit Function ]v6s](CE  
  End If "? t@
Y  
  If ppx = p2x And ppy = p2y Then #mvOhu  
     point_in = True bi 8Qbo4  
     Exit Function PShluhY  
  End If Al1BnFB  
   If ppx = p3x And ppy = p3y Then wS%aN@ay3  
     point_in = True whdoG{/
  
     Exit Function 'X@>U6s  
  End If "FfIq;  
     u/g4s (a  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) dB%q`7O  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) wdzZ41y1  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) xKW`m  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) /ig'p53jL  
    sum = aob + boc + cod + doa \yNe5  
    If 360.01 > sum And sum > 359.99 Then 1e(QI) ~  
       point_in = True bL9EX$P  
    Else ;S_\- ]m&g  
       point_in = False >L{s[pLJ  
    End If Q@"mL  
End Function

'得到点半径,得到交点坐标函数 Dd:;8Xo  
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() M^twD*  
    '求得中心点坐标 *'&mcEpg  
Dim tt As String `+>'18F  
Dim rt(3) As Single aHzS>  
    '判断是否平行 8p)*;Y  
   acx = p3x - p1x Kf!8PR
$  
   acy = p3y - p1y fZ)M Dq  
   bdx = p4x - p2x Z F&aV?  
   bdy = p4y - p2y pf'-(W+  
   If acx * bdy = acy * bdx Then +>,4d  
      rt(0) = 0 |&hu3-(  
      Exit Function .tny"a&  
   Else )n&@`>vm  
      '判断斜率存在否 @C3
4^\aH+  
      If p1x = p3x And p2x <> p4x Then lm 1Mz  
         tt = "ac_n_bd_y" 7Ne`F(c  
      ElseIf p1x <> p3x And p2x = p4x Then MsL*\)*s  
         tt = "ac_y_bd_n" 9Nkr=/I"P  
      ElseIf p1x <> p3x And p2x <> p4x Then 3TS(il9A  
         tt = "ac_y_bd_y" %1Pn;bUU!  
      End If ?%Pd:~4D  
    Select Case tt qbwX*E~;  
         Case "ac_n_bd_y" zYW+Goz/C  
            'bd线段方程 f4Yn=D=_  
            k_bd = bdy / bdx }hPF
d  
            b_bd = p2y - k_bd * p2x S3oSc<&2  
            p_x = p1x wx,yx3c (  
            p_y = k_bd * p_x + b_bd ckWK+  
         Case "ac_y_bd_n" x\r[Zp|
  
            'ac线段方程 ,%zU5hh  
            k_ac = acy / acx >%o\Ue  
            b_ac = p1y - k_ac * p1x bQ3
EBJT{P  
            p_x = p2x p[zKc2TPk  
            p_y = k_ac * p_x + b_ac 37SbF,G  
        Case "ac_y_bd_y" E>}(r%B  
           'ac，bd线段都要求 $%3"@$  
           k_ac = acy / acx nhm)P_p   
           b_ac = p1y - k_ac * p1x IJ`%Zh{f  
           k_bd = bdy / bdx eA$wJ$*   
           b_bd = p2y - k_bd * p2x (<"uV%1  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) &H`AS6  
           p_y = k_ac * p_x + b_ac R2 I 7d'|v  
        End Select Hlr[x  
      rt(1) = p_x z!<X{& e  
      rt(2) = p_y S?M'JoYy  
     *88Q6=Mm  
'计算最大半径 D[NJ{E.{  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) d*e
0/#s  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) %rmn+L),;  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) )M!6y%b67  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Nzo;j0 [  
Dim bb(5) As Single 122%KS  
  bb(1) = rr1 i`Tp +e@a>  
  bb(2) = rr2 m4<5jC`-M  
  bb(3) = rr3 7l%]/`Y-  
  bb(4) = rr4 R.FC3<TTv  
  nb = rr1 8{t^< j$n  
For i = 1 To 4 i Sm .E  
    If nb <= bb(i) Then X &z|im'd  
       nb = bb(i) vIL'&~C\y  
    End If gyt[ZN_2  
Next i \x,q(npHi  
    rt(0) = Sqr(nb) =Z3{6y}3p  
    rr = rt() <yw6Om:n<  
  End If 4DYa~ =w  
         R0l5"l*@+  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  D(' w<9.  

+nz6+{li\  
有热压工艺方面的人才或者资料分享下； f"{|c@%  
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 JNJ96wnX1  

高手真多！

楼主威武霸气.