[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： g8I!E$  
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关键点说几个： <vB<`   
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ~)q g  
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 D XV@DQ  
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 N0Efw$u  

以下是几个重要的函数： 9>by~4An?  
1.判断点在区域中函数 d2rL 8jW  
2.计算夹角函数 &<,SV^wag  
3.转置函数 HH)"]E5  
4.得到区域中心点，及区域半径函数 g(aZT#ii=  
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） Hjs
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6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 kt^yj"C>  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Q1Ux!$_  
   cax = x2 - x1 R A:jzht  
   cay = y2 - y1 0n3D~Xzd  
   cbx = x2 - x3 '>@4(=I  
   cby = y2 - y3 <FY&h#  
   mo_jj = cax * cbx + cay * cby gv#4#
]  
   mo_ca = Sqr(cax * cax + cay * cay) -hWC_X:9jP  
   mo_cb = Sqr(cbx * cbx + cby * cby) ueDvMP  
   cos_acb = mo_jj / (mo_ca * mo_cb) eNRs&^  
   'ff_cos = cos_acb g\U/&.}DN  
   If cos_acb >= 1 Then V/PAi.GZ  
   nn = 0 [*8Y'KX <  
   ElseIf cos_acb <= -1 Then o(*F])d
;  
   nn = 3.14159265258979 '-vE%U@<  
   Else 8pXKO"u],  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 0DNU,u  
   End If f~=r*&U  
   'ff_angle = nn <l$P&jSF3  
   ff_angle = nn * 180 / 3.14159265258979 !VwmPAMr#v  
End Function

'判断点在区域内函数 }`xdWY  
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 {uU 2)5i2-  
Dim aob, boc, cod, doa, sum As Single ~i ,"87$[  
  If ppx = p1x And ppy = p1y Then gAt~?HvW6  
     point_in = True tdep|sD  
     Exit Function zI^]esX!2_  
  End If )I`if(fG  
  If ppx = p2x And ppy = p2y Then [:h5}  
     point_in = True O0T/#<Cn!  
     Exit Function h7]EB!D\A  
  End If %'bJ:  
   If ppx = p3x And ppy = p3y Then `&!k!FZY*  
     point_in = True +m)q%I>  
     Exit Function 5G[x}4U  
  End If |mhKIis U  
     &<3&'*ueW  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) qnChM;)  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) R_ ZK0ar  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) u.,Q4u|!  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Zd!U')5/  
    sum = aob + boc + cod + doa !E2W\chi  
    If 360.01 > sum And sum > 359.99 Then kJ{+M]pW  
       point_in = True vDFGd-S  
    Else tF7hFL5f  
       point_in = False x
wi\  
    End If :>+\17tx  
End Function

'得到点半径,得到交点坐标函数 @n-r
-Q  
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() v6GPS1:a  
    '求得中心点坐标 ?'s6Xmd  
Dim tt As String K/L;8a  
Dim rt(3) As Single Y}s@WJ  
    '判断是否平行 KC`q#&dt  
   acx = p3x - p1x l+*&:Q/  
   acy = p3y - p1y jYRP8 Yi  
   bdx = p4x - p2x ]bZ(HC?KZr  
   bdy = p4y - p2y au7.4ln>Y  
   If acx * bdy = acy * bdx Then =K\r-'V  
      rt(0) = 0 gw36Ec<M  
      Exit Function \$sjrqKnu  
   Else 1vzb8.  
      '判断斜率存在否 qIIJ4n  
      If p1x = p3x And p2x <> p4x Then T4)fOu3]  
         tt = "ac_n_bd_y" zCv"]%  
      ElseIf p1x <> p3x And p2x = p4x Then S35~Cp  
         tt = "ac_y_bd_n" T 20&F  
      ElseIf p1x <> p3x And p2x <> p4x Then 4_A0rveP  
         tt = "ac_y_bd_y" 
XI<L;  
      End If 8[vc?+>&  
    Select Case tt R:X0'zeRr  
         Case "ac_n_bd_y" f>`dF?^6  
            'bd线段方程 >-8cU_m7s  
            k_bd = bdy / bdx aJ Z"D8C  
            b_bd = p2y - k_bd * p2x #>lG7Ns|4  
            p_x = p1x rf~Y
6U?7  
            p_y = k_bd * p_x + b_bd u .f= te  
         Case "ac_y_bd_n" oVFnlA  
            'ac线段方程 Q7Iw[=;\  
            k_ac = acy / acx js iSg/  
            b_ac = p1y - k_ac * p1x eET&pP3Rp  
            p_x = p2x s\!>"J bAQ  
            p_y = k_ac * p_x + b_ac Hso|e?Z  
        Case "ac_y_bd_y" jTO), v:w  
           'ac，bd线段都要求 Od f[*  
           k_ac = acy / acx (T`E!A0I\?  
           b_ac = p1y - k_ac * p1x 2 3OC2|  
           k_bd = bdy / bdx HK`I\,K  
           b_bd = p2y - k_bd * p2x wLK07e(  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) (aOv#Vor]%  
           p_y = k_ac * p_x + b_ac !?c|XdjZ  
        End Select .<@8gNm3  
      rt(1) = p_x }PTV] q%  
      rt(2) = p_y V"c 6Kdtd  
     y@0E[/O  
'计算最大半径 [sB 9gY(  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) X 1 57$  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) -py@DzK  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) {~Rk2:gx  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ,eTU/Q>{,&  
Dim bb(5) As Single I(S`j[U  
  bb(1) = rr1 i3rH'B-I.  
  bb(2) = rr2 If\fLhM  
  bb(3) = rr3 R(q~ -3~  
  bb(4) = rr4 d3=KTTi\  
  nb = rr1 DI+fwXe
g  
For i = 1 To 4 ``wS
c0\  
    If nb <= bb(i) Then BD(Z5+EU1  
       nb = bb(i) n2iJ%_zp  
    End If JvY
}-}?c  
Next i dqN5]Sb2B  
    rt(0) = Sqr(nb) ~l)-wNqR4r  
    rr = rt() &Z`#cMR{H  
  End If }GeSu|m(  
         ^]TVo\,N  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ?kbiMs1;u  

4R1<nZ"e~  
有热压工艺方面的人才或者资料分享下； 2y;Skp  
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 YUtC.TR1  

高手真多！

楼主威武霸气.