[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^5"qd|`  
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关键点说几个： $~TfL{$  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） `%%?zgY  
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 2| $k`I,  
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 [[&)cbv  

以下是几个重要的函数： L[1d&d!p  
1.判断点在区域中函数 fls#LcI9>6  
2.计算夹角函数 i@Vs4E[b  
3.转置函数 s7vPI  
4.得到区域中心点，及区域半径函数 u8xk]:%  
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） ujow?$&  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Ko@zk<~"[  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single #`r(zI[  
   cax = x2 - x1 8g-P_[>  
   cay = y2 - y1 TS/Cp{  
   cbx = x2 - x3 F
ZM2   
   cby = y2 - y3 `B:B7Cpvn  
   mo_jj = cax * cbx + cay * cby 
^zKt{a  
   mo_ca = Sqr(cax * cax + cay * cay) `D4oAx d9  
   mo_cb = Sqr(cbx * cbx + cby * cby) iJEB?y  
   cos_acb = mo_jj / (mo_ca * mo_cb) vuAQm}A4'g  
   'ff_cos = cos_acb "^Y6ctw  
   If cos_acb >= 1 Then =rtS#u Y  
   nn = 0 ^}>zYt  
   ElseIf cos_acb <= -1 Then ,I/2.Q})[  
   nn = 3.14159265258979 !-F^VGD(8  
   Else
?rky6  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Nvi Fq  
   End If z7| s%&  
   'ff_angle = nn P\Ai|"=&]  
   ff_angle = nn * 180 / 3.14159265258979 @Q/x&BV  
End Function

'判断点在区域内函数 fui4

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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 
i<B:  
Dim aob, boc, cod, doa, sum As Single V"w`!  
  If ppx = p1x And ppy = p1y Then $&ex\_W  
     point_in = True IOSuaLH^  
     Exit Function LvSP #$f  
  End If aQl?d<|+lk  
  If ppx = p2x And ppy = p2y Then (45NZBs  
     point_in = True b*btkaVue  
     Exit Function
+vSCR(n  
  End If 5%2ef{T[  
   If ppx = p3x And ppy = p3y Then HXD*zv@ *6  
     point_in = True t-.2+6"\  
     Exit Function  R4&|t  
  End If Qw3a"k-  
     V}vl2o
  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) d9`3EP)n  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 3~cS}N T  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) [$hptQv  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ,:0Q1~8  
    sum = aob + boc + cod + doa u@GR
N`yn  
    If 360.01 > sum And sum > 359.99 Then p2pTs&}S  
       point_in = True A8_\2'b  
    Else NmH}"ndv+  
       point_in = False ZcUh[5:|  
    End If c%q}"Y0oh  
End Function

'得到点半径,得到交点坐标函数 NZfo`iHAN  
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() sf.E|]isW  
    '求得中心点坐标 H]%mP|  
Dim tt As String q#mFN/.(+  
Dim rt(3) As Single bqZ?uvc3  
    '判断是否平行 "@c';".|  
   acx = p3x - p1x
ef;&Y>/  
   acy = p3y - p1y r6O7&Me<  
   bdx = p4x - p2x syWv'Y[k?  
   bdy = p4y - p2y SX_k
r^#  
   If acx * bdy = acy * bdx Then %4|n-`:  
      rt(0) = 0 $Nt=gSWw5  
      Exit Function *@-q@5r}
!  
   Else TS\A`{^T  
      '判断斜率存在否 EWuiaw.  
      If p1x = p3x And p2x <> p4x Then beN>5coP%A  
         tt = "ac_n_bd_y" w*&n(zJF>  
      ElseIf p1x <> p3x And p2x = p4x Then s8f3i\1  
         tt = "ac_y_bd_n" &J5-'{U|0  
      ElseIf p1x <> p3x And p2x <> p4x Then gTmUK{y'  
         tt = "ac_y_bd_y" wzNt c)~i  
      End If ~xlMHf  
    Select Case tt 4e(9@OLP  
         Case "ac_n_bd_y" nJ'>#9~a'>  
            'bd线段方程 9a"Y,1  
            k_bd = bdy / bdx -7Aw s)  
            b_bd = p2y - k_bd * p2x (!XYH@Mz<w  
            p_x = p1x }\`-G+i{W  
            p_y = k_bd * p_x + b_bd Ab^>z  
         Case "ac_y_bd_n" j
{7ilo(i  
            'ac线段方程 6g~o3  
            k_ac = acy / acx :oon}_MdRd  
            b_ac = p1y - k_ac * p1x }C`}wS3i  
            p_x = p2x 3zA8pI w  
            p_y = k_ac * p_x + b_ac v)C:E9!|  
        Case "ac_y_bd_y" aowPji$H  
           'ac，bd线段都要求 9d,]_l.sB  
           k_ac = acy / acx YaY;o^11/  
           b_ac = p1y - k_ac * p1x JEm?26n X  
           k_bd = bdy / bdx lH,]ZA./  
           b_bd = p2y - k_bd * p2x FkJ>]k  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) e~>p.l  
           p_y = k_ac * p_x + b_ac V~]'+A q>  
        End Select :YRzI(4J  
      rt(1) = p_x fo!Lp*'0  
      rt(2) = p_y !q=Q~ea  
     :C|>y4U&(s  
'计算最大半径 #T$'.M  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) )bIK0h  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 7&RJDa:a7T  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 9(N)MT5F  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) XTi0,e]5{u  
Dim bb(5) As Single Ch \ed|u  
  bb(1) = rr1 )/+eLRN5G  
  bb(2) = rr2 sjkKaid  
  bb(3) = rr3 a'>$88tl  
  bb(4) = rr4 giSG 6'WA  
  nb = rr1 bWC~Hv  
For i = 1 To 4 y 8d`},  
    If nb <= bb(i) Then <R`,zE@t'(  
       nb = bb(i) FSYjp{z5  
    End If iRj x];:Vu  
Next i o trTrh  
    rt(0) = Sqr(nb) mtWx ?x  
    rr = rt() Q:fUM[  
  End If hPqapz]HcP  
         pRxlvVt  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  V_d%g<n4  

Lp]C![\>U  
有热压工艺方面的人才或者资料分享下； #/v_h6$  
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 >93{=+  

高手真多！

楼主威武霸气.