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Experimento3_RedeReal.m
461 lines (441 loc) · 18.9 KB
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Experimento3_RedeReal.m
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m=105; n=67;
tolerance=10**(-6) # 2 casas decimais além da última casa decimal das observações da rede #
if 1 %L (vetor de valores observados)
L=[965.4909
-965.2125
-184.5766
-758.8563
-18.9386
22.8896
162.2300
-138.6889
-36.3277
175.9286
-106.2625
-82.8555
106.2602
-4.0472
73.6905
-29.9320
-10.4241
-12.4700
181.0665
-5.0135
23.8215
0.9243
134.8814
-17.4816
-876.2539
-233.2686
243.1308
-27.2005
-220.1132
-23.0415
75.4206
-186.3108
91.6736
-3.5715
36.9309
141.9885
-7.4500
7.4489
-86.6274
-56.6636
197.9122
200.2670
-209.1825
-34.4465
-13.2047
-12.1858
314.2420
198.3960
-466.0313
244.7099
203.2885
-66.3206
317.4607
-384.9907
203.3870
469.5058
87.0408
65.0532
-122.2306
135.8454
-296.4706
90.3870
100.9558
18.0729
-87.0128
4.1540
-34.5515
-0.1483
-134.7893
-426.1270
38.1722
104.8925
-246.7157
-153.2391
343.9193
480.8950
-249.5430
-352.5339
89.0700
-405.2769
-63.4986
340.3589
-137.8070
569.4108
-368.0582
-165.7041
586.3355
94.7616
0.8766
-86.8668
-586.4039
373.2157
-459.8809
-15.3156
101.1063
-152.0357
461.3395
-0.2796
0.5831
49.0682
-64.7117
34.7145
-31.8426
46.1939
31.8381];
end
if 1 %A (matriz design)
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1
];
end
if 1 %d (comprimento das seções de nivelamento)
d=[541.46
174.26
385.84
144.17
13.00
108.10
248.00
83.43
25.80
44.13
71.79
61.86
39.68
20.33
61.25
59.48
54.20
73.95
26.20
67.08
111.15
146.63
114.21
2.32
125.56
449.34
88.97
170.71
97.77
71.40
130.45
69.74
192.64
187.75
116.91
207.94
104.57
343.76
119.70
179.97
166.83
17.69
83.94
149.01
142.94
152.97
106.10
144.99
102.18
170.45
116.89
224.55
121.30
250.25
810.85
80.56
248.13
733.15
154.27
231.57
162.15
97.77
201.41
132.89
98.42
100.45
91.51
111.09
257.50
217.55
61.75
328.83
232.82
248.80
46.46
94.40
189.77
216.21
16.06
257.15
122.26
126.99
158.63
123.99
150.63
21.08
247.84
70.63
99.61
78.20
545.71
187.89
143.85
24.01
306.49
196.96
302.18
7.39
15.60
8.94
23.22
3.17
0.99
7.35
25.53
];
d=d';
end
############################################################### 1) MMQ com mod estocastico usual
"MMQ com mod. estocastico usual"
p=200./d;
ELb=diag(1./p);
P=diag(p);
x=inv(A'*P*A)*A'*P*L;
v=A*x-L;
#Global Test
sigma2_pos=(v'*P*v)/(m-n);
QuiQuadCalc=sigma2_pos*(m-n)
LimSupQuiQuad=51.00; #teste unicaudal a direita significancia 5%#
if QuiQuadCalc<LimSupQuiQuad
"teste unicaudal a direita significancia 5%: ok!"
else
"teste unicaudal a direita significancia 5%: NAO ok."
end
Qx=inv(A'*P*A);
Ex=Qx.*sigma2_pos;
ELa=A*Ex*A';
Ev=(ELb.*sigma2_pos)-ELa;
v1=abs(v);
diag_DPx=sqrt(diag(Ex));
diag_DPv=sqrt(abs(diag(Ev)));
###output
max_v1=max(v1)
mean_v1=mean(v1)
min_v1=min(v1)
std_v1=std(v1)
mean_DPx=mean(diag_DPx)
std_DPx=std(diag_DPx)
mean_DPv=mean(diag_DPv)
std_DPv=std(diag_DPv)
##################################################### 2) MMQ com mod. estocastico proposto
"MMQ com mod. estocastico proposto"
###################### 2.1)MRA
p=ones(m,1);
P=diag(p);
I = eye(m);
O = zeros(m,2*n);
A1 = [A -A -I I zeros(m,1)];
A2 = [O P -P (-1)*ones(m,1)];
A3 = [O -P P (-1)*ones(m,1)];
A4 = cat(1,A1, A2, A3);
L1 = cat(1,L,zeros(2*m,1));
c=zeros(1,2*(n+m)+1);c(1,2*(n+m)+1)=1;
ctype=[];
for i=1:(m)
ctype = [ctype, "S"];
end
for i=1:(2*m)
ctype = [ctype, "U"];
end
vartype=[];
for i=1:(2*(n+m)+1)
vartype = [vartype, "C"];
end
param.dual=1;
param.lpsolver=1;
[xopt, fopt, erro, extra] = glpk (c, A4, L1, lb=[], ub=[], ctype, vartype, s=1, param);
xopt;fopt;erro; extra.status;
for i=1:n
x(i)=xopt(i)-xopt(n+i);
end
for i=1:m
v(i)=xopt(2*n+i)-xopt(2*n+i+m);
end
LInf=max(abs(v));
###################### 2.2)iterações do MMQ
p=(LInf^(-2)).*ones(m,1);
x=inv(A'*P*A)*A'*P*L;
v=A*x-L;
for k = 1:1000
pant=p;
for i = 1:m
if abs(v(i))-LInf>tolerance
p(i)=p(i)*(abs(v(i))/LInf);
end;
end;
P=diag(p);
x=(A'*P*A)\A'*P*L;
v=A*x-L;
if (pant==p), count_iter=k; break; end; %stop if necessary
end;
daux=1./p;
ELb=diag(daux);
P=diag(p);
x=inv(A'*P*A)*A'*P*L;
v=A*x-L;
#Global test
sigma2_pos=(v'*P*v)/(m-n);
QuiQuadCalc=sigma2_pos*(m-n)
LimSupQuiQuad=51.00; #teste unicaudal a direita significancia 5%#
if QuiQuadCalc<LimSupQuiQuad
"teste unicaudal a direita significancia 5%: ok!"
else
"teste unicaudal a direita significancia 5%: NAO ok."
end
Qx=inv(A'*P*A);
Ex=Qx.*sigma2_pos;
ELa=A*Ex*A';
Ev=(ELb.*sigma2_pos)-ELa;
###output
v1=abs(v);
diag_DPx=sqrt(diag(Ex));
diag_DPv=sqrt(abs(diag(Ev)));
max_v1=max(v1)
mean_v1=mean(v1)
std_v1=std(v1)
max_DPx=max(diag_DPx)
mean_DPx=mean(diag_DPx)
std_DPx=std(diag_DPx)
max_DPv=max(diag_DPv)
mean_DPv=mean(diag_DPv)
std_DPv=std(diag_DPv)
count_iter