[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： lVR~Bh  
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tip+q d  

关键点说几个： zRl3KjET  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） eJVjuG  
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 }=UHbU.n~!  
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 6]_pIf  

以下是几个重要的函数： ]Svt`0|}  
1.判断点在区域中函数 ?m=N]!n  
2.计算夹角函数 #`iB`|  
3.转置函数 FLCexlv^  
4.得到区域中心点，及区域半径函数 NP#w+Qw  
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）  ZrxD`1L  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 .fFCC`&T  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single u+e{Mim  
   cax = x2 - x1 Y3cMC)  
   cay = y2 - y1 "3"V3w  
   cbx = x2 - x3 C12Fl  
   cby = y2 - y3 TnOggpQ6X  
   mo_jj = cax * cbx + cay * cby E`0?  
   mo_ca = Sqr(cax * cax + cay * cay) 9:[ 9v  
   mo_cb = Sqr(cbx * cbx + cby * cby) 2K6qY)/_  
   cos_acb = mo_jj / (mo_ca * mo_cb) /?'FE 7Y  
   'ff_cos = cos_acb Mj?`j_X  
   If cos_acb >= 1 Then B6As,)RjD:  
   nn = 0 |`,2ri*5A  
   ElseIf cos_acb <= -1 Then :WS@=sZN  
   nn = 3.14159265258979 V-2(?auZd  
   Else Bz-c$me1  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) gHEu/8E  
   End If #n#}s  
   'ff_angle = nn n;C :0  
   ff_angle = nn * 180 / 3.14159265258979 6|%?tex  
End Function

'判断点在区域内函数 c?*=|}N  
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 7\[@m3s  
Dim aob, boc, cod, doa, sum As Single 1;8UC;,  
  If ppx = p1x And ppy = p1y Then vjCu4+w($Z  
     point_in = True <CiSK!  
     Exit Function 8)3*6+D  
  End If HTS0s\R$  
  If ppx = p2x And ppy = p2y Then Hqx-~hQO  
     point_in = True P{jbl!UD7  
     Exit Function CL;}IBd a  
  End If ^_W#+>&--  
   If ppx = p3x And ppy = p3y Then "ycJ:Xv49  
     point_in = True D& i94\vVa  
     Exit Function 4G0m\[Du  
  End If -p-ZzgQ  
     W:nef<WH  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) +oML&g-g_  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ~?Pw& K2  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) RVmh6m  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) /NFj(+&g+  
    sum = aob + boc + cod + doa ,WYPU  
    If 360.01 > sum And sum > 359.99 Then LEf^cM=>  
       point_in = True GPudaF{  
    Else k FD;i  
       point_in = False IdYt\^@>  
    End If 1#2 I  
End Function

'得到点半径,得到交点坐标函数 #A/  
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() TDjm2R~9FS  
    '求得中心点坐标 ]p GL`ge5  
Dim tt As String p%Vt#?q  
Dim rt(3) As Single m?}6)\ob  
    '判断是否平行 M"Hf :9Rk  
   acx = p3x - p1x ()?(I?I
I  
   acy = p3y - p1y 1(R}tRR7R  
   bdx = p4x - p2x Lg.gfny[(t  
   bdy = p4y - p2y 2MIi=c:oqK  
   If acx * bdy = acy * bdx Then ;`{H!w[D  
      rt(0) = 0 7Q9 w?y~c  
      Exit Function &wawr2)}  
   Else ,/2Vt/lt  
      '判断斜率存在否 s 5Qcl;}  
      If p1x = p3x And p2x <> p4x Then ltSU fI  
         tt = "ac_n_bd_y" 4k1xy##  
      ElseIf p1x <> p3x And p2x = p4x Then yx[/|nZDC4  
         tt = "ac_y_bd_n" Qd{CMmx  
      ElseIf p1x <> p3x And p2x <> p4x Then AV]2euyn  
         tt = "ac_y_bd_y" U< fGGCw  
      End If ec;o\erPG  
    Select Case tt cqkV9f8Ro  
         Case "ac_n_bd_y" 4F:\-O  
            'bd线段方程 +3BN}  
            k_bd = bdy / bdx `
/+>a8  
            b_bd = p2y - k_bd * p2x };zFJ6I8  
            p_x = p1x G~a ZJ,  
            p_y = k_bd * p_x + b_bd ]s'as9s9  
         Case "ac_y_bd_n" u&vf+6=9Dd  
            'ac线段方程 ,[KD,)3y  
            k_ac = acy / acx 9W5lSX#^;  
            b_ac = p1y - k_ac * p1x \V63qg[  
            p_x = p2x K5h  
            p_y = k_ac * p_x + b_ac FD #8mg  
        Case "ac_y_bd_y" ^{`exCwMx  
           'ac，bd线段都要求 >]TWXmx/w  
           k_ac = acy / acx Sz`,X0a  
           b_ac = p1y - k_ac * p1x 
|HQW0  
           k_bd = bdy / bdx 2F.;;A
b  
           b_bd = p2y - k_bd * p2x `U_)98  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) PC8Q"O  
           p_y = k_ac * p_x + b_ac Bsvr?|L\  
        End Select cuITY^6  
      rt(1) = p_x lUZ+YD4  
      rt(2) = p_y JH9J5%sp  
     Rhs/3O8k  
'计算最大半径 bAqA1y3=  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) YD6'#(  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) FW4<5~'  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) qEOh
wrh  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ou
Q T  
Dim bb(5) As Single Qw*|qGvy^  
  bb(1) = rr1 $6 f3F?y7  
  bb(2) = rr2 UiW>J  
  bb(3) = rr3 H7n>Vx:L-  
  bb(4) = rr4 J*M>6Q.)  
  nb = rr1 #;yZ  
For i = 1 To 4 v
k^xT  
    If nb <= bb(i) Then _G@GpkSe>  
       nb = bb(i) -Q*gW2KmV  
    End If *g2x%aZWbG  
Next i XRi8Gpg  
    rt(0) = Sqr(nb) ,f>k%_U}  
    rr = rt() g) jYFfGfH  
  End If 7?_CcRe  
         &h/Xku&0  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  1$ {SRU7l  

a 1*p*dM#  
有热压工艺方面的人才或者资料分享下； MolgwVd
 
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 `P
noxm'  

高手真多！

楼主威武霸气.