SUB_WAVELET/Fortran/SUB_wavedec.f90

    SUBROUTINE wavedec(s,x,n,IN3,nc,c,nl,l)
    implicit none
    
    integer :: s,n,nc,nl
    integer :: l(nl)
    real*8 :: x(s),c(1000)
    character(len=3) :: IN3
    real*8,allocatable :: Lo_D(:),Hi_D(:),y(:),a(:),d(:),z(:),temp(:)
    integer :: lf,i,first,last,lenEXT,ny,nz,num,j,tempn
    
    c = 0
    l = 0
    
    select case(IN3)
    case('db2')
        lf = 4
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [-0.129409522550921,0.224143868041857,0.836516303737469,0.482962913144690]
        Hi_D = [-0.482962913144690,0.836516303737469,-0.224143868041857,-0.129409522550921]
        
    case('db3')
        lf = 6
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [0.0352262918821007,-0.0854412738822415,-0.135011020010391,0.459877502119331,0.806891509313339,0.332670552950957]
        Hi_D = [-0.332670552950957,0.806891509313339,-0.459877502119331,-0.135011020010391,0.0854412738822415,0.0352262918821007]
        
    case('db4')
        lf = 8
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [-0.0105974017849973,0.0328830116669829,0.0308413818359870,-0.187034811718881,&
				-0.0279837694169839,0.630880767929590,0.714846570552542,0.230377813308855]
        Hi_D = [-0.230377813308855,0.714846570552542,-0.630880767929590,-0.0279837694169839,0.187034811718881,0.0308413818359870,&
                -0.0328830116669829,-0.0105974017849973]
        
    case('db5')
        lf = 10
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [0.00333572528500155,-0.0125807519990155,-0.00624149021301171,0.0775714938400652,-0.0322448695850295,&
				-0.242294887066190,0.138428145901103,0.724308528438574,0.603829269797473,0.160102397974125]
        Hi_D = [-0.160102397974125,0.603829269797473,-0.724308528438574,0.138428145901103,0.242294887066190,-0.0322448695850295,&
                -0.0775714938400652,-0.00624149021301171,0.0125807519990155,0.00333572528500155]
        
    case('db6')
        lf = 12
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [-0.00107730108499558,0.00477725751101065,0.000553842200993802,&
				-0.0315820393180312,0.0275228655300163,0.0975016055870794,&
                -0.129766867567096,-0.226264693965169,0.315250351709243,0.751133908021578,0.494623890398385,0.111540743350080]
        Hi_D = [-0.111540743350080,0.494623890398385,-0.751133908021578,0.315250351709243,0.226264693965169,-0.129766867567096,&
                -0.0975016055870794,0.0275228655300163,0.0315820393180312,0.000553842200993802,&
				-0.00477725751101065,-0.00107730108499558]
        
    case('db7')
        lf = 14
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [0.000353713800001040,-0.00180164070399983,0.000429577973004703,0.0125509985560138,-0.0165745416310156,&
				-0.0380299369350346,0.0806126091510659,0.0713092192670500,-0.224036184994166,&
				-0.143906003929106,0.469782287405359,0.729132090846555,0.396539319482306,0.0778520540850624]
        Hi_D = [-0.0778520540850624,0.396539319482306,-0.729132090846555,0.469782287405359,0.143906003929106,&
				-0.224036184994166,-0.0713092192670500,0.0806126091510659,0.0380299369350346,-0.0165745416310156,&
				-0.0125509985560138,0.000429577973004703,0.00180164070399983,0.000353713800001040]
        
    case('db8')
        lf = 16
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [-0.000117476784002282,0.000675449405998557,-0.000391740372995977,&
				-0.00487035299301066,0.00874609404701566,0.0139810279170155,&
                -0.0440882539310647,-0.0173693010020221,0.128747426620186,0.000472484573997973,&
				-0.284015542962428,-0.0158291052560239,0.585354683654869,0.675630736298013,0.312871590914466,0.0544158422430816]
        Hi_D = [-0.0544158422430816,0.312871590914466,-0.675630736298013,0.585354683654869,0.0158291052560239,-0.284015542962428,&
                -0.000472484573997973,0.128747426620186,0.0173693010020221,-0.0440882539310647,&
				-0.0139810279170155,0.00874609404701566,0.00487035299301066,-0.000391740372995977,&
				-0.000675449405998557,-0.000117476784002282]
        
    case('fk4')
        lf = 4
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [-0.0461657148152177,0.0531792287790598,0.753272492839488,0.653927555569765]
        Hi_D = [-0.653927555569765,0.753272492839488,-0.0531792287790598,-0.0461657148152177]
        
    case('fk6')
        lf = 6
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [0.0406258144232379,-0.0771777574069701,-0.146438681272577,0.356369511070187,0.812919643136907,0.427915032422310]
        Hi_D = [-0.427915032422310,0.812919643136907,-0.356369511070187,-0.146438681272577,0.0771777574069701,0.0406258144232379]
        
    case('fk8')
        lf = 8
        allocate(Lo_D(lf),Hi_D(lf))
        Lo_D = [-0.0190001788537359,0.0425816316775818,0.0431066681065162,-0.159978097434030,&
				-0.0996833284505732,0.475265135079471,0.782683620384065,0.349238111863800]
        Hi_D = [-0.349238111863800,0.782683620384065,-0.475265135079471,-0.0996833284505732,0.159978097434030,0.0431066681065162,&
                -0.0425816316775818,-0.0190001788537359]
        
    end select
    
    l(n+2) = s
    nc = 0
    tempn = s
    allocate(temp(tempn))
    temp = x
    do i=1,n
        first = 2
        lenEXT = lf-1
        last = tempn+lf-1
        ny = tempn+2*lenEXT
        nz = ny-lf+1
        allocate(y(ny),z(nz))
        call wextend(tempn,temp,lenEXT,y)
        
        call conv_valid(ny,y,lf,Lo_D,z)
        num = (last-first)/2+1
        allocate(a(num),d(num))
        do j=1,num
            a(j) = z(first+(j-1)*2)
        end do
        
        call conv_valid(ny,y,lf,Hi_D,z)
        do j=1,num
            d(j) = z(first+(j-1)*2)
        end do
        
        nc = num+nc
        c(num+1:nc) = c(1:nc)
        c(1:num) = d(1:num)
        l(n+2-i) = num
        
        deallocate(temp)
        tempn = num
        allocate(temp(tempn))
        temp = a
        
        deallocate(a,y,z,d)
    end do
    
    nc = num+nc
    c(num+1:nc) = c(1:nc)
    c(1:num) = temp
    l(1) = num
    
    deallocate(temp,Lo_D,Hi_D)
    end subroutine