From 3830968aa48d3d048c03c58892b11069c72e62ab Mon Sep 17 00:00:00 2001 From: misaki <1018407731@qq.com> Date: Thu, 17 Apr 2025 18:54:22 +0800 Subject: [PATCH] 5 --- Fortran/SUB_appcoef.f90 | 132 ++++++++++++++++++++++++++++++++++++ Fortran/SUB_wavedec.f90 | 145 ++++++++++++++++++++++++++++++++++++++++ 2 files changed, 277 insertions(+) create mode 100644 Fortran/SUB_appcoef.f90 create mode 100644 Fortran/SUB_wavedec.f90 diff --git a/Fortran/SUB_appcoef.f90 b/Fortran/SUB_appcoef.f90 new file mode 100644 index 0000000..06964c8 --- /dev/null +++ b/Fortran/SUB_appcoef.f90 @@ -0,0 +1,132 @@ + + SUBROUTINE appcoef(nc,c,nl,l,n,IN3,na,a) + implicit none + + integer :: nc,nl,n,na + real*8 :: c(nc),a(1000) + integer :: l(nl) + character(len=3) :: IN3 + + integer :: rmax,nmax,nd,imax,lf,i + real*8 :: d(1000) + real*8,allocatable :: Lo_D(:),Hi_D(:),tempa(:) + + rmax = nl + nmax = rmax-2 + + na = 0 + a = 0 + + select case(IN3) + case('db2') + lf = 4 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.482962913144690,0.836516303737469,0.224143868041857,-0.129409522550921] + Hi_D = [-0.129409522550921,-0.224143868041857,0.836516303737469,-0.482962913144690] + + case('db3') + lf = 6 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.332670552950957,0.806891509313339,0.459877502119331,& + -0.135011020010391,-0.0854412738822415,0.0352262918821007] + Hi_D = [0.0352262918821007,0.0854412738822415,-0.135011020010391,& + -0.459877502119331,0.806891509313339,-0.332670552950957] + + case('db4') + lf = 8 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.230377813308855,0.714846570552542,0.630880767929590,-0.0279837694169839,& + -0.187034811718881,0.0308413818359870,0.0328830116669829,-0.0105974017849973] + Hi_D = [-0.0105974017849973,-0.0328830116669829,0.0308413818359870,0.187034811718881,& + -0.0279837694169839,-0.630880767929590,0.714846570552542,-0.230377813308855] + + case('db5') + lf = 10 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.160102397974125,0.603829269797473,0.724308528438574,0.138428145901103,& + -0.242294887066190,-0.0322448695850295,0.0775714938400652,& + -0.00624149021301171,-0.0125807519990155,0.00333572528500155] + Hi_D = [0.00333572528500155,0.0125807519990155,-0.00624149021301171,& + -0.0775714938400652,-0.0322448695850295,0.242294887066190,0.138428145901103,& + -0.724308528438574,0.603829269797473,-0.160102397974125] + + case('db6') + lf = 12 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_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] + Hi_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] + + case('db7') + lf = 14 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_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] + Hi_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] + + case('db8') + lf = 16 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_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] + Hi_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] + + case('fk4') + lf = 4 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.653927555569765,0.753272492839488,0.0531792287790598,-0.0461657148152177] + Hi_D = [-0.0461657148152177,-0.0531792287790598,0.753272492839488,-0.653927555569765] + + case('fk6') + lf = 6 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.427915032422310,0.812919643136907,0.356369511070187,& + -0.146438681272577,-0.0771777574069701,0.0406258144232379] + Hi_D = [0.0406258144232379,0.0771777574069701,-0.146438681272577,& + -0.356369511070187,0.812919643136907,-0.427915032422310] + + case('fk8') + lf = 8 + allocate(Lo_D(lf),Hi_D(lf)) + Lo_D = [0.349238111863800,0.782683620384065,0.475265135079471,-0.0996833284505732,& + -0.159978097434030,0.0431066681065162,0.0425816316775818,-0.0190001788537359] + Hi_D = [-0.0190001788537359,-0.0425816316775818,0.0431066681065162,0.159978097434030,& + -0.0996833284505732,-0.475265135079471,0.782683620384065,-0.349238111863800] + + end select + + na = l(1) + a(1:na) = c(1:na) + + imax = rmax+1 + do i=nmax,n+1,-1 + call detcoef(nc,c,nl,l,i,nd,d) + + allocate(tempa(l(imax-i))) + call idwt(na,a,nd,d,lf,Lo_D,Hi_D,l(imax-i),tempa) + na = l(imax-i) + a(1:na) = tempa + + deallocate(tempa) + end do + + deallocate(Lo_D,Hi_D) + end subroutine \ No newline at end of file diff --git a/Fortran/SUB_wavedec.f90 b/Fortran/SUB_wavedec.f90 new file mode 100644 index 0000000..02d4ab0 --- /dev/null +++ b/Fortran/SUB_wavedec.f90 @@ -0,0 +1,145 @@ + + 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 + + \ No newline at end of file