0001 0002 function fn=monotonic(f) 0003 0004 [x,y]=size(f); 0005 if x>y 0006 f=f'; 0007 end 0008 marca=0; 0009 num_ptos=length(f); 0010 if num_ptos<20 0011 marca=1; 0012 npint=10; 0013 xx=linspace(1,num_ptos,num_ptos+(num_ptos-1)*npint); 0014 f=(interp1(linspace(1,num_ptos,num_ptos),f,xx)); 0015 if sum(f==f(1))==length(f) 0016 f(1)=0; 0017 f(2)=0.8*f(3); 0018 f(3)=0.9*f(4); 0019 end 0020 end 0021 0022 a=0; 0023 r=0; 0024 while (f(1)==0)|(f(length(f))==0) 0025 f=f-a; 0026 a=rand(1,1); 0027 f=f+a; 0028 r=1; 0029 end 0030 0031 x1=[0 f]; 0032 x2=[f 0]; 0033 cre=x2-x1; 0034 cre(1:length(cre)-1); 0035 cond=(cre==0); 0036 0037 if sum(cond)>0 0038 aa=0; 0039 c=[cond 0]-[0 cond]; 0040 ini=find(c==1); 0041 fin=find(c==-1); 0042 longit=fin-ini; 0043 nn=length(ini); 0044 g=[1 fin]; 0045 if fin(nn)<length(f)+1 0046 for i=1:nn, 0047 aa=[aa f(g(i):ini(i)-1) f(ini(i)-1)+linspace(1,longit(i),longit(i))*((f(fin(i))-f(ini(i)-1))/(longit(i)+1))]; 0048 end 0049 aa=[aa f(fin(nn):length(f))]; 0050 fn=aa(2:length(aa)); 0051 else 0052 if length(fin)>1 0053 if (fin(length(fin)-1)+1)<ini(length(ini)) 0054 for i=1:nn-1 0055 aa=[aa f(g(i):ini(i)-1) f(ini(i)-1)+linspace(1,longit(i),longit(i))*((f(fin(i))-f(ini(i)-1))/(longit(i)+1))]; 0056 end 0057 aa=[aa f(g(nn):ini(nn)-2) f(ini(nn)-2)+linspace(1,longit(nn),longit(nn))*((f(fin(nn)-1)-f(ini(nn)-2))/(longit(nn)+1))]; 0058 fn=[aa(2:length(aa)) f(length(f))]; 0059 else 0060 for i=1:nn-1 0061 aa=[aa f(g(i):ini(i)-1) f(ini(i)-1)+linspace(1,longit(i),longit(i))*((f(fin(i))-f(ini(i)-1))/(longit(i)+1))]; 0062 end 0063 aa=[aa aa(length(aa))+linspace(1,longit(nn),longit(nn))*((f(fin(nn)-1)-aa(length(aa)))/(longit(nn)+1))]; 0064 fn=[aa(2:length(aa)) f(length(f))]; 0065 end 0066 else 0067 for i=1:nn-1 0068 ini(i) 0069 aa=[aa f(g(i):ini(i)-1) f(ini(i)-1)+linspace(1,longit(i),longit(i))*((f(fin(i))-f(ini(i)-1))/(longit(i)+1))]; 0070 end 0071 aa=[aa f(g(nn):ini(nn)-2) f(ini(nn)-2)+linspace(1,longit(nn),longit(nn))*((f(fin(nn)-1)-f(ini(nn)-2))/(longit(nn)+1))]; 0072 fn=[aa(2:length(aa)) f(length(f))]; 0073 end 0074 end 0075 else 0076 fn=f; 0077 end 0078 0079 if r==1 0080 fn=fn-a; 0081 end 0082 0083 if marca==1 0084 l=1; 0085 for i=1:num_ptos 0086 ff(i)=fn(l); 0087 l=l+npint+1; 0088 end 0089 fn=ff; 0090 end