[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： ! yUKNR  
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~Q\ZDMTK  

关键点说几个： IbQ~f+y&2  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Oz7v hOU  
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 KO"iauW  
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 ~PAn _]Z  

以下是几个重要的函数： xI8*sTx 6  
1.判断点在区域中函数 &6EfybAt^_  
2.计算夹角函数 u'>CU  
3.转置函数 \H(,'w7H  
4.得到区域中心点，及区域半径函数 ~h.B\Sc]Q  
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） 4v .6_ebL  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 us+adS.l&  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Hua8/:![+  
   cax = x2 - x1 1[ Pbsb  
   cay = y2 - y1 yvvR%]!.  
   cbx = x2 - x3 /-lmfpT  
   cby = y2 - y3 &I=q%  
   mo_jj = cax * cbx + cay * cby E{J
;-+t  
   mo_ca = Sqr(cax * cax + cay * cay) c,^-nH'X>  
   mo_cb = Sqr(cbx * cbx + cby * cby) kOO2 ?L|Z  
   cos_acb = mo_jj / (mo_ca * mo_cb) $Izk]o;X~  
   'ff_cos = cos_acb E~ kmU{D  
   If cos_acb >= 1 Then [R$4n-$  
   nn = 0 5KzU&!Zh9  
   ElseIf cos_acb <= -1 Then ovp>"VuC  
   nn = 3.14159265258979 Jt"Wtr  
   Else |QdS;  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) mx2 Jt1  
   End If }$ der  
   'ff_angle = nn cW\7yZh  
   ff_angle = nn * 180 / 3.14159265258979 dWA7U6c<  
End Function

'判断点在区域内函数 [B Al  
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 Up:#Zs2  
Dim aob, boc, cod, doa, sum As Single NNX/2  
  If ppx = p1x And ppy = p1y Then qyto`n7  
     point_in = True W7 $yE},
z  
     Exit Function {#MViBhd%  
  End If d hy=x  
  If ppx = p2x And ppy = p2y Then & CgLF]  
     point_in = True k6XO-a f  
     Exit Function ?d 4_'y   
  End If (@ Bw@9  
   If ppx = p3x And ppy = p3y Then
8}&cE#@  
     point_in = True +x`tvo  
     Exit Function ETtR*5Y 5  
  End If XB?!V|bno  
     I`|>'$E[r  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) .*,ZcO  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) r*Mm5QozA  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 9
iUw7-)  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) I('l)^m%  
    sum = aob + boc + cod + doa Oe?nX>  
    If 360.01 > sum And sum > 359.99 Then =vWnqF:  
       point_in = True F#hM S<  
    Else wBf bpoE7  
       point_in = False *m7e>]-  
    End If xucV$[
f  
End Function

'得到点半径,得到交点坐标函数 N7[~Y2i  
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() wL{Qni3A  
    '求得中心点坐标 EV}%D9:  
Dim tt As String {uw]s< 6  
Dim rt(3) As Single )TLDNpH?J  
    '判断是否平行 bY`k`3v  
   acx = p3x - p1x DP?gozm  
   acy = p3y - p1y U_:/>8})d  
   bdx = p4x - p2x </fzBaTo  
   bdy = p4y - p2y zUOYH4+  
   If acx * bdy = acy * bdx Then b_B4  
      rt(0) = 0 MT3UJ6~P  
      Exit Function {5,CW  
   Else -v]7}[
.[  
      '判断斜率存在否 y(%6?a @  
      If p1x = p3x And p2x <> p4x Then ;HW@ZI  
         tt = "ac_n_bd_y" Ft07>E$/Q^  
      ElseIf p1x <> p3x And p2x = p4x Then //`X+[bMG  
         tt = "ac_y_bd_n" 3o1j l2n  
      ElseIf p1x <> p3x And p2x <> p4x Then |{$Vk%cUE  
         tt = "ac_y_bd_y" Wg#>2
)>  
      End If y+c+/L8  
    Select Case tt :/u EPki  
         Case "ac_n_bd_y"  M;V2O;  
            'bd线段方程 T3bBc  
            k_bd = bdy / bdx I!{5*~ 3  
            b_bd = p2y - k_bd * p2x c+q4sNnE  
            p_x = p1x ^JH 4: h  
            p_y = k_bd * p_x + b_bd }^=J
]  
         Case "ac_y_bd_n" s8R.?mhH=  
            'ac线段方程 PJ);d>tz  
            k_ac = acy / acx NZv1dy`fa  
            b_ac = p1y - k_ac * p1x <FP&1Eg!|  
            p_x = p2x Ygg+*z  
            p_y = k_ac * p_x + b_ac vzfWPjpKW  
        Case "ac_y_bd_y" O5E\#*<K  
           'ac，bd线段都要求 SlmgFk!r!  
           k_ac = acy / acx 1;>J9  
           b_ac = p1y - k_ac * p1x o_{-X 1w  
           k_bd = bdy / bdx 9Y0w SOSW  
           b_bd = p2y - k_bd * p2x qg|SBQ?6  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) BeBa4s  
           p_y = k_ac * p_x + b_ac O}2;>eH  
        End Select
/
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      rt(1) = p_x M4`qi3I  
      rt(2) = p_y [/'
W
#x  
      \\6/"  
'计算最大半径 gd2cwnP  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) |'.\}xt7  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) G/b $cO}  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y)
}DoNp[`  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) "1Vuf<
?C  
Dim bb(5) As Single 1a`dB ~>  
  bb(1) = rr1 _pL:dKfy7  
  bb(2) = rr2 I t",WFE.  
  bb(3) = rr3 ttgb"Wb%S  
  bb(4) = rr4 9[T}cN=|  
  nb = rr1 NU O9,  
For i = 1 To 4 yoQ}m/Cj  
    If nb <= bb(i) Then 54v}iG  
       nb = bb(i) Tw8$6KUW  
    End If NsPt1_Y8  
Next i xO{yr[x"L  
    rt(0) = Sqr(nb) ]%pr1Ey  
    rr = rt() ibha`  
  End If yHe%
e1  
         n2cb,b/7  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  18nT Iz_  

QlE]OAdB42  
有热压工艺方面的人才或者资料分享下； k~Z;S QyN  
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 qBF6LhR  

高手真多！

楼主威武霸气.