matlab 无法使用ODE45求解器求解ODE

h7appiyu  于 2022-11-15  发布在  Matlab
关注(0)|答案(1)|浏览(362)

这是我的原始代码。

  1. function dydt = Biogearsmcdaniel(t,y)
  2. SP= 0.60;
  3. kPT=3.7*10^4;
  4. thetaP =1.35*10^-4;
  5. kPTB= 3.1;
  6. kPTMT=6.3*10^-3;
  7. kPTNT=6.1*10^-4;
  8. SMT=2.6*10^-2;
  9. Mv=0.3;
  10. kMT=6.43*10^-5;
  11. kMTB=36.0;
  12. SNT=7.0*10^-7;
  13. Nv =1*10^8;
  14. kNTB=36.0;
  15. kNTMT=0.16;
  16. kNT=6.1*10^-2;
  17. SB =4.6*10^-2;
  18. kBPT=26.0;
  19. kBR= 0.14;
  20. kBNT=4.0*10^-8;
  21. kPBNA=5.8;
  22. xPN= 0.5;
  23. kPS =6.9*10^3;
  24. xPS=1.3*10^4;
  25. kMP=1.01;
  26. xMP =-37.5;
  27. kMD=5.0*10^-2;
  28. xMD = 0.75;
  29. xMTNF=0.4;
  30. kM6=0.1;
  31. xM6 =1.0;
  32. xM10 =0.297;
  33. kMR=0.05;
  34. SM= 1.0;
  35. kMA=0.2;
  36. kNP= 33.75;
  37. xNP=56.25;
  38. kND= 0.05;
  39. xND =0.4;
  40. kNTNF= 0.2;
  41. xENOSP =1.015;
  42. k10MA=0.1;
  43. xNTNF= 2.0;
  44. kENOS= 4.0;
  45. k10TNF= 1.485;
  46. kN6 =1.5;
  47. kNO3= 0.46;
  48. x10TNF=0.05;
  49. xN6 =1.0;
  50. kNOMN= 2.0;
  51. k106= 5.1*10^-2;
  52. xN10= 0.2;
  53. kTNFN =2.97;
  54. x106 =8.0*10^-2;
  55. kNR=0.05;
  56. kTNFM=0.1;
  57. k10R= 0.1;
  58. SN =1.0;
  59. xTNF10= 7.9*10^-2;
  60. x1012=1.0*10^-2;
  61. kNA=0.5;
  62. xTNF6= 5.9*10^-2;
  63. k10= 0.35;
  64. kINOSN =1.5;
  65. kTNF= 1.4;
  66. S10= 1.0*10^-2;
  67. kINOSM =0.1;
  68. k6N= 0.2;
  69. k12M= 0.303;
  70. kINOSEC= 0.1;
  71. k6M= 3.03;
  72. x1210= 0.2525;
  73. xINOSTNF =0.05;
  74. k6TNF= 1.0;
  75. k12= 5.0*10^-2;
  76. kINOSd= 0.05;
  77. x6TNF= 0.1;
  78. kD= 0.15;
  79. kINOS6= 2.0;
  80. k6NO= 2.97;
  81. kD6= 0.125;
  82. xINOS6 =0.1;
  83. x6NO= 0.4;
  84. xD6= 0.85;
  85. xINOS10= 0.1;
  86. x610= 0.1782;
  87. xDNO= 0.5;
  88. xINOSNO= 0.3;
  89. x66= 0.5;
  90. kINOS= 0.101;
  91. k6= 0.7;
  92. kENOSEC= 0.05;
  93. xENOSTNF= 0.4;
  94. k10N=0.1;
  95. S6= 1.0*10^-3;
  96. dydt=zeros(19,1);%DAEs
  97. function f=HU1(x,n,h)
  98. f=x^h/1+(x/n)^h;
  99. end
  100. function g=HU2(x,n,h)
  101. g=x^h/(x^h+n^h);
  102. end
  103. function r=HUD(x,n,h)
  104. r=1/1+(x/n)^h;
  105. end
  106. R=1;
  107. dydt(1)=(SP/kPT)*y(1)*(1-y(1))-(thetaP*y(1)/1+kPTB*y(1))-(kPTMT*y(2)*y(1))-kPTNT*y(3)*y(1);
  108. dydt(2)=SMT*y(3)*Mv/1+kMTB*y(4)-kMT*y(2);
  109. dydt(3)=SNT*R*Nv/((1+kNTB*y(4))*(1+kNTMT*y(2)))-kNT*y(3);
  110. dydt(4)=(SB/1+kBPT)*y(4)*(1-y(4))-kBR*R*y(4)-kBNT*y(3)*y(4);
  111. dydt(5)=SP*y(5)+thetaP*y(1)/1+kPTB*y(1)-kPS*y(5)/xPS+y(5)-kPBNA*y(9)*HU2(y(5),xPN,2);
  112. dydt(6)=(-(kMP*HU2(y(5),xMP,2)+kMD*HU2(1-y(18),xMD,4)*(HU2(y(14),xMTNF,2)+kM6*HU2(y(15),xM6,2)))*HUD(y(16),xM10,2)*y(6)-kMR*(y(6)-SM));
  113. dydt(7)=(kMP*HU2(y(5),xMP,2)+kMD*HU2(1-y(18),xMD,4))*(HU2(y(14),xMTNF,2)+kM6*HU2(y(15),xM6,2))*HUD(y(16),xM10,2)*y(6)-kMA*y(7);
  114. dydt(8)=-((kNP*HU2(y(5),xNP,1))+kND*HU1(1-y(18),xND,2)+kNTNF*HU1(y(14),xNTNF,1)+kN6*HU1(y(15),xN6,2))*HUD(y(16),xN10,2)*y(8)-kNR*(y(8)-SN);
  115. dydt(9)=(kNP*HU2(y(5),xNP,1))+kND*HU1(1-
  116. y(18),xND,2)+kNTNF*HU1(y(14),xNTNF,1)+kN6*HU1(y(15),xN6,2)*HUD(y(16),xN10,2)*y(8)-kNA*y(9);
  117. dydt(10=(kINOSN*y(9)+kINOSM*y(7)+kINOSEC*HU1(y(14),xINOSTNF,2)+kINOS6*HU1(y(15),xINOS6,2))*HUD(y(16),xINOS10,2)*HUD(y(19),xINOSNO,4)-kINOSd*y(10);
  118. dydt(11)=kINOS*(y(10)-y(11));
  119. dydt(12)=kENOSEC*HUD(y(14),xENOSTNF,1)*HUD(y(5),xENOSP,1)-kENOS*y(12);
  120. dydt(13)=kNO3*(y(19)-y(13));
  121. dydt(14)=(kTNFN*y(9)+kTNFM*y(7))*HUD(y(16),xTNF10,2)*HUD(y(15),xTNF6,3)-kTNF*y(14);
  122. dydt(15)=(k6N*y(9)+y(7))*(k6M+k6TNF*HU2(y(14),x6TNF,2)+k6NO*HU2(y(19),x6NO,2))*HUD(y(16),x610,2)*HUD(y(16),x66,1)-k6*(y(15)-S6);
  123. dydt(16)=(k10N*y(9)+y(7))*(k10MA+k10TNF*HU2(y(14),x10TNF,4)+k106*HU2(y(15),x106,4))*((1-k10R)*HUD(y(17),x1012,4)+k10R)-k10*(y(16)-S10);
  124. dydt(17)=k12M*y(7)*HUD(y(16),x1210,2)-k12*y(17);
  125. dydt(18)=kD*(1-y(18))*(y(18)-0.05)-(y(18)-0.05)*kD6*HU2(y(15),xD6,6)*(1/xDNO^2+y(19)^2);
  126. dydt(19)=y(11)*(1+kNOMN*(y(7)+y(9)))+y(12);
  127. end

下面的代码是我用来编写代码解算器的语法。

  1. tspan = 0:120;
  2. yo=[1 1000 1000 0 0 1000 0 1000 0 0 0 0 0 1.1 1.02 1.05 1.2 0 0];
  3. [t,y]=ode15s(@(t,y)Biogearsmcdaniel,tspan,yo);
  4. for i=1:19
  5. figure(i)
  6. plot(t,y(:,i))
  7. hold on
  8. end

当我运行上面的文件没有足够的输入参数时,我得到以下错误。
Biogearsmcdaniel(第109行)dydt(1)=(SP/kPT)y(1)(1-y(1))-(thetaPy(1)/1+kPTBy(1))-(kPTMT*y(2)y(1))-kPTNTy(3)*y(1);出错
在Untitled148>@(t,y)Biogearsmcdaniel(第3行)[t,y]=ode15s(@(t,y)Biogearsmcdaniel,tspan,yo)中出错;
Odearguments出错(第92行)f0=ode(t0,y0,args{:});%ODE15I将args{1}设置为yp0。
Ode15s(第153行)odearguments(odeIsFuncHandle、odeTreatAsMFile、solver_name、ode、tspan、y0、Options、varargin)出错;
未完成148中的错误(第3行)[t,y]=ode15s(@(t,y)Biogearsmcdaniel,tspan,yo);
请帮帮我。

c0vxltue

c0vxltue1#

这是John BG jgb2012@sky.com
我修补了您的启动脚本,使其运行时没有错误。
但是,不确定所获得的结果是否就是您要寻找的结果

启动并运行脚本所需的步骤:
1.-您没有正确输入ode15,在告诉函数名称时,必须定义该函数的输入。
2.-我已将每个函数放在不同的文件中
3.-我已经全局设置了大额参数,在主支持函数之外可能不需要,但你可以从这里拿
4.-以下是不会崩溃的主要支持函数的代码

  1. function dydt = Biogearsmcdaniel(t,y)
  2. global SP
  3. global kPT
  4. global thetaP
  5. global kPTB
  6. global kPTMT
  7. global kPTNT
  8. global SMT
  9. global Mv
  10. global kMT
  11. global kMTB
  12. global SNT
  13. global Nv
  14. global kNTB
  15. global kNTMT
  16. global kNT
  17. global SB
  18. global kBPT
  19. global kBR
  20. global kBNT
  21. global kPBNA
  22. global xPN
  23. global kPS
  24. global xPS
  25. global kMP
  26. global xMP
  27. global kMD
  28. global xMD
  29. global xMTNF
  30. global kM6
  31. global xM6
  32. global xM10
  33. global kMR
  34. global SM
  35. global kMA
  36. global kNP
  37. global xNP
  38. global kND
  39. global xND
  40. global kNTNF
  41. global xENOSP
  42. global k10MA
  43. global xNTNF
  44. global kENOS
  45. global k10TNF
  46. global kN6global
  47. global kNO3
  48. global x10TNF
  49. global xN6global
  50. global kNOMN
  51. global k106
  52. global xN10
  53. global kTNFNglobal
  54. global x106global
  55. global kNR
  56. global kTNFM
  57. global k10R
  58. global SN
  59. global xTNF10
  60. global x1012
  61. global kNA
  62. global xTNF6
  63. global k10
  64. global kINOSN
  65. global kTNF
  66. global S10
  67. global kINOSM
  68. global k6N
  69. global k12M
  70. global kINOSEC
  71. global k6M
  72. global x1210
  73. global xINOSTNF
  74. global k6TNF
  75. global k12
  76. global kINOSd
  77. global x6TNF
  78. global kD
  79. global kINOS6
  80. global k6NO
  81. global kD6
  82. global xINOS6
  83. global x6NO
  84. global xD6
  85. global xINOS10
  86. global x610
  87. global xDNO
  88. global xINOSNO
  89. global x66
  90. global kINOS
  91. global k6
  92. global kENOSEC
  93. global xENOSTNF
  94. global k10N
  95. global S6
  96. SP= 0.60;
  97. kPT=3.7*10^4;
  98. thetaP =1.35*10^-4;
  99. kPTB= 3.1;
  100. kPTMT=6.3*10^-3;
  101. kPTNT=6.1*10^-4;
  102. SMT=2.6*10^-2;
  103. Mv=0.3;
  104. kMT=6.43*10^-5;
  105. kMTB=36.0;
  106. SNT=7.0*10^-7;
  107. Nv =1*10^8;
  108. kNTB=36.0;
  109. kNTMT=0.16;
  110. kNT=6.1*10^-2;
  111. SB =4.6*10^-2;
  112. kBPT=26.0;
  113. kBR= 0.14;
  114. kBNT=4.0*10^-8;
  115. kPBNA=5.8;
  116. xPN= 0.5;
  117. kPS =6.9*10^3;
  118. xPS=1.3*10^4;
  119. kMP=1.01;
  120. xMP =-37.5;
  121. kMD=5.0*10^-2;
  122. xMD = 0.75;
  123. xMTNF=0.4;
  124. kM6=0.1;
  125. xM6 =1.0;
  126. xM10 =0.297;
  127. kMR=0.05;
  128. SM= 1.0;
  129. kMA=0.2;
  130. kNP= 33.75;
  131. xNP=56.25;
  132. kND= 0.05;
  133. xND =0.4;
  134. kNTNF= 0.2;
  135. xENOSP =1.015;
  136. k10MA=0.1;
  137. xNTNF= 2.0;
  138. kENOS= 4.0;
  139. k10TNF= 1.485;
  140. kN6 =1.5;
  141. kNO3= 0.46;
  142. x10TNF=0.05;
  143. xN6 =1.0;
  144. kNOMN= 2.0;
  145. k106= 5.1*10^-2;
  146. xN10= 0.2;
  147. kTNFN =2.97;
  148. x106 =8.0*10^-2;
  149. kNR=0.05;
  150. kTNFM=0.1;
  151. k10R= 0.1;
  152. SN =1.0;
  153. xTNF10= 7.9*10^-2;
  154. x1012=1.0*10^-2;
  155. kNA=0.5;
  156. xTNF6= 5.9*10^-2;
  157. k10= 0.35;
  158. kINOSN =1.5;
  159. kTNF= 1.4;
  160. S10= 1.0*10^-2;
  161. kINOSM =0.1;
  162. k6N= 0.2;
  163. k12M= 0.303;
  164. kINOSEC= 0.1;
  165. k6M= 3.03;
  166. x1210= 0.2525;
  167. xINOSTNF =0.05;
  168. k6TNF= 1.0;
  169. k12= 5.0*10^-2;
  170. kINOSd= 0.05;
  171. x6TNF= 0.1;
  172. kD= 0.15;
  173. kINOS6= 2.0;
  174. k6NO= 2.97;
  175. kD6= 0.125;
  176. xINOS6 =0.1;
  177. x6NO= 0.4;
  178. xD6= 0.85;
  179. xINOS10= 0.1;
  180. x610= 0.1782;
  181. xDNO= 0.5;
  182. xINOSNO= 0.3;
  183. x66= 0.5;
  184. kINOS= 0.101;
  185. k6= 0.7;
  186. kENOSEC= 0.05;
  187. xENOSTNF= 0.4;
  188. k10N=0.1;
  189. S6= 1.0*10^-3;
  190. dydt=zeros(19,1);%DAEs
  191. % function f=HU1(x,n,h)
  192. % these functions in separate files
  193. % f=x^h/1+(x/n)^h;
  194. %
  195. % end
  196. % function g=HU2(x,n,h)
  197. %
  198. % g=x^h/(x^h+n^h);
  199. %
  200. % end
  201. % function r=HUD(x,n,h)
  202. %
  203. % r=1/1+(x/n)^h;
  204. %
  205. % end
  206. R=1;
  207. dydt(1)=(SP/kPT)*y(1)*(1-y(1))-(thetaP*y(1)/1+kPTB*y(1))-(kPTMT*y(2)*y(1))-kPTNT*y(3)*y(1);
  208. dydt(2)=SMT*y(3)*Mv/1+kMTB*y(4)-kMT*y(2);
  209. dydt(3)=SNT*R*Nv/((1+kNTB*y(4))*(1+kNTMT*y(2)))-kNT*y(3);
  210. dydt(4)=(SB/1+kBPT)*y(4)*(1-y(4))-kBR*R*y(4)-kBNT*y(3)*y(4);
  211. dydt(5)=SP*y(5)+thetaP*y(1)/1+kPTB*y(1)-kPS*y(5)/xPS+y(5)-kPBNA*y(9)*HU2(y(5),xPN,2);
  212. dydt(6)=(-(kMP*HU2(y(5),xMP,2)+kMD*HU2(1-y(18),xMD,4)*(HU2(y(14),xMTNF,2)+kM6*HU2(y(15),xM6,2)))*HUD(y(16),xM10,2)*y(6)-kMR*(y(6)-SM));
  213. dydt(7)=(kMP*HU2(y(5),xMP,2)+kMD*HU2(1-y(18),xMD,4))*(HU2(y(14),xMTNF,2)+kM6*HU2(y(15),xM6,2))*HUD(y(16),xM10,2)*y(6)-kMA*y(7);
  214. dydt(8)=-((kNP*HU2(y(5),xNP,1))+kND*HU1(1-y(18),xND,2)+kNTNF*HU1(y(14),xNTNF,1)+kN6*HU1(y(15),xN6,2))*HUD(y(16),xN10,2)*y(8)-kNR*(y(8)-SN);
  215. dydt(9)=(kNP*HU2(y(5),xNP,1))+kND*HU1(1-y(18),xND,2)+kNTNF*HU1(y(14),xNTNF,1)+kN6*HU1(y(15),xN6,2)*HUD(y(16),xN10,2)*y(8)-kNA*y(9);
  216. dydt(10)=(kINOSN*y(9)+kINOSM*y(7)+kINOSEC*HU1(y(14),xINOSTNF,2)+kINOS6*HU1(y(15),xINOS6,2))*HUD(y(16),xINOS10,2)*HUD(y(19),xINOSNO,4)-kINOSd*y(10);
  217. dydt(11)=kINOS*(y(10)-y(11));
  218. dydt(12)=kENOSEC*HUD(y(14),xENOSTNF,1)*HUD(y(5),xENOSP,1)-kENOS*y(12);
  219. dydt(13)=kNO3*(y(19)-y(13));
  220. dydt(14)=(kTNFN*y(9)+kTNFM*y(7))*HUD(y(16),xTNF10,2)*HUD(y(15),xTNF6,3)-kTNF*y(14);
  221. dydt(15)=(k6N*y(9)+y(7))*(k6M+k6TNF*HU2(y(14),x6TNF,2)+k6NO*HU2(y(19),x6NO,2))*HUD(y(16),x610,2)*HUD(y(16),x66,1)-k6*(y(15)-S6);
  222. dydt(16)=(k10N*y(9)+y(7))*(k10MA+k10TNF*HU2(y(14),x10TNF,4)+k106*HU2(y(15),x106,4))*((1-k10R)*HUD(y(17),x1012,4)+k10R)-k10*(y(16)-S10);
  223. dydt(17)=k12M*y(7)*HUD(y(16),x1210,2)-k12*y(17);
  224. dydt(18)=kD*(1-y(18))*(y(18)-0.05)-(y(18)-0.05)*kD6*HU2(y(15),xD6,6)*(1/xDNO^2+y(19)^2);
  225. dydt(19)=y(11)*(1+kNOMN*(y(7)+y(9)))+y(12);
  226. end

5.-这是打电话的人

  1. clear all;clc;close all
  2. global SP
  3. global kPT
  4. global thetaP
  5. global kPTB
  6. global kPTMT
  7. global kPTNT
  8. global SMT
  9. global Mv
  10. global kMT
  11. global kMTB
  12. global SNT
  13. global Nv
  14. global kNTB
  15. global kNTMT
  16. global kNT
  17. global SB
  18. global kBPT
  19. global kBR
  20. global kBNT
  21. global kPBNA
  22. global xPN
  23. global kPS
  24. global xPS
  25. global kMP
  26. global xMP
  27. global kMD
  28. global xMD
  29. global xMTNF
  30. global kM6
  31. global xM6
  32. global xM10
  33. global kMR
  34. global SM
  35. global kMA
  36. global kNP
  37. global xNP
  38. global kND
  39. global xND
  40. global kNTNF
  41. global xENOSP
  42. global k10MA
  43. global xNTNF
  44. global kENOS
  45. global k10TNF
  46. global kN6global
  47. global kNO3
  48. global x10TNF
  49. global xN6global
  50. global kNOMN
  51. global k106
  52. global xN10
  53. global kTNFNglobal
  54. global x106global
  55. global kNR
  56. global kTNFM
  57. global k10R
  58. global SN
  59. global xTNF10
  60. global x1012
  61. global kNA
  62. global xTNF6
  63. global k10
  64. global kINOSN
  65. global kTNF
  66. global S10
  67. global kINOSM
  68. global k6N
  69. global k12M
  70. global kINOSEC
  71. global k6M
  72. global x1210
  73. global xINOSTNF
  74. global k6TNF
  75. global k12
  76. global kINOSd
  77. global x6TNF
  78. global kD
  79. global kINOS6
  80. global k6NO
  81. global kD6
  82. global xINOS6
  83. global x6NO
  84. global xD6
  85. global xINOS10
  86. global x610
  87. global xDNO
  88. global xINOSNO
  89. global x66
  90. global kINOS
  91. global k6
  92. global kENOSEC
  93. global xENOSTNF
  94. global k10N
  95. global S6
  96. SP= 0.60;
  97. kPT=3.7*10^4;
  98. thetaP =1.35*10^-4;
  99. kPTB= 3.1;
  100. kPTMT=6.3*10^-3;
  101. kPTNT=6.1*10^-4;
  102. SMT=2.6*10^-2;
  103. Mv=0.3;
  104. kMT=6.43*10^-5;
  105. kMTB=36.0;
  106. SNT=7.0*10^-7;
  107. Nv =1*10^8;
  108. kNTB=36.0;
  109. kNTMT=0.16;
  110. kNT=6.1*10^-2;
  111. SB =4.6*10^-2;
  112. kBPT=26.0;
  113. kBR= 0.14;
  114. kBNT=4.0*10^-8;
  115. kPBNA=5.8;
  116. xPN= 0.5;
  117. kPS =6.9*10^3;
  118. xPS=1.3*10^4;
  119. kMP=1.01;
  120. xMP =-37.5;
  121. kMD=5.0*10^-2;
  122. xMD = 0.75;
  123. xMTNF=0.4;
  124. kM6=0.1;
  125. xM6 =1.0;
  126. xM10 =0.297;
  127. kMR=0.05;
  128. SM= 1.0;
  129. kMA=0.2;
  130. kNP= 33.75;
  131. xNP=56.25;
  132. kND= 0.05;
  133. xND =0.4;
  134. kNTNF= 0.2;
  135. xENOSP =1.015;
  136. k10MA=0.1;
  137. xNTNF= 2.0;
  138. kENOS= 4.0;
  139. k10TNF= 1.485;
  140. kN6 =1.5;
  141. kNO3= 0.46;
  142. x10TNF=0.05;
  143. xN6 =1.0;
  144. kNOMN= 2.0;
  145. k106= 5.1*10^-2;
  146. xN10= 0.2;
  147. kTNFN =2.97;
  148. x106 =8.0*10^-2;
  149. kNR=0.05;
  150. kTNFM=0.1;
  151. k10R= 0.1;
  152. SN =1.0;
  153. xTNF10= 7.9*10^-2;
  154. x1012=1.0*10^-2;
  155. kNA=0.5;
  156. xTNF6= 5.9*10^-2;
  157. k10= 0.35;
  158. kINOSN =1.5;
  159. kTNF= 1.4;
  160. S10= 1.0*10^-2;
  161. kINOSM =0.1;
  162. k6N= 0.2;
  163. k12M= 0.303;
  164. kINOSEC= 0.1;
  165. k6M= 3.03;
  166. x1210= 0.2525;
  167. xINOSTNF =0.05;
  168. k6TNF= 1.0;
  169. k12= 5.0*10^-2;
  170. kINOSd= 0.05;
  171. x6TNF= 0.1;
  172. kD= 0.15;
  173. kINOS6= 2.0;
  174. k6NO= 2.97;
  175. kD6= 0.125;
  176. xINOS6 =0.1;
  177. x6NO= 0.4;
  178. xD6= 0.85;
  179. xINOS10= 0.1;
  180. x610= 0.1782;
  181. xDNO= 0.5;
  182. xINOSNO= 0.3;
  183. x66= 0.5;
  184. kINOS= 0.101;
  185. k6= 0.7;
  186. kENOSEC= 0.05;
  187. xENOSTNF= 0.4;
  188. k10N=0.1;
  189. S6= 1.0*10^-3;
  190. tspan = [0:120];
  191. yo=[1 1000 1000 0 0 1000 0 1000 0 0 0 0 0 1.1 1.02 1.05 1.2 0 0];
  192. figure(1)
  193. hold all
  194. for i=1:19
  195. % figure(i)
  196. [t,y]=ode15s(@(t,y) Biogearsmcdaniel(t,yo),tspan,yo);
  197. plot(t,y(:,i))
  198. hold on
  199. end
  200. grid on

6.-不需要在for循环内重复保持,只需重叠每个结果图
是的,所有这些都是重复的,太多行,但在脚本工作后立即发布是一种好做法;过度工作的脚本经常会回到最初解决的错误。
希望能有所帮助
邮箱:John BG jgb2012@sky.com

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