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|
* fortran version of *dgpfa5* -
* radix-5 section of self-sorting, in-place,
* generalized pfa
*
*-------------------------------------------------------------------
*
subroutine dgpfa5f(a,b,trigs,inc,jump,n,mm,lot,isign)
double precision a(*), b(*), trigs(*)
integer inc, jump, n, mm, lot, isign
double precision s, ax, bx, c1, c2, c3
double precision t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11
double precision u1, u2, u3, u4, u5, u6, u7, u8, u9, u10, u11
double precision co1, co2, co3, co4, si1, si2, si3, si4
double precision aja, ajb, ajc, ajd, aje, bjb, bje, bjc
double precision bjd, bja, ajf, ajk, bjf, bjk, ajg, ajj
double precision ajh, aji, ajl, ajq, bjg, bjj, bjh, bji
double precision bjl, bjq, ajo, ajm, ajn, ajr, ajw, bjo
double precision bjm, bjn, bjr, bjw, ajt, ajs, ajx, ajp
double precision bjt, bjs, bjx, bjp, ajv, ajy, aju, bjv
double precision bjy, bju
data sin36/0.587785252292473d+0/,
* sin72/0.951056516295154d+0/,
* qrt5/0.559016994374947d+0/
data lvr/128/
*
* ***************************************************************
* * *
* * N.B. LVR = LENGTH OF VECTOR REGISTERS, SET TO 128 FOR C90. *
* * RESET TO 64 FOR OTHER CRAY MACHINES, OR TO ANY LARGE VALUE *
* * (GREATER THAN OR EQUAL TO LOT) FOR A SCALAR COMPUTER. *
* * *
* ***************************************************************
*
n5 = 5 ** mm
inq = n / n5
jstepx = (n5-n) * inc
ninc = n * inc
ink = inc * inq
mu = mod(inq,5)
if (isign.eq.-1) mu = 5 - mu
*
m = mm
mh = (m+1)/2
s = dfloat(isign)
c1 = qrt5
c2 = sin72
c3 = sin36
if (mu.eq.2.or.mu.eq.3) then
c1 = -c1
c2 = sin36
c3 = sin72
endif
if (mu.eq.3.or.mu.eq.4) c2 = -c2
if (mu.eq.2.or.mu.eq.4) c3 = -c3
*
nblox = 1 + (lot-1)/lvr
left = lot
s = dfloat(isign)
istart = 1
*
* loop on blocks of lvr transforms
* --------------------------------
do 500 nb = 1 , nblox
*
if (left.le.lvr) then
nvex = left
else if (left.lt.(2*lvr)) then
nvex = left/2
nvex = nvex + mod(nvex,2)
else
nvex = lvr
endif
left = left - nvex
*
la = 1
*
* loop on type I radix-5 passes
* -----------------------------
do 160 ipass = 1 , mh
jstep = (n*inc) / (5*la)
jstepl = jstep - ninc
kk = 0
*
* loop on k
* ---------
do 150 k = 0 , jstep-ink , ink
*
if (k.gt.0) then
co1 = trigs(kk+1)
si1 = s*trigs(kk+2)
co2 = trigs(2*kk+1)
si2 = s*trigs(2*kk+2)
co3 = trigs(3*kk+1)
si3 = s*trigs(3*kk+2)
co4 = trigs(4*kk+1)
si4 = s*trigs(4*kk+2)
endif
*
* loop along transform
* --------------------
do 140 jjj = k , (n-1)*inc , 5*jstep
ja = istart + jjj
*
* "transverse" loop
* -----------------
do 135 nu = 1 , inq
jb = ja + jstepl
if (jb.lt.istart) jb = jb + ninc
jc = jb + jstepl
if (jc.lt.istart) jc = jc + ninc
jd = jc + jstepl
if (jd.lt.istart) jd = jd + ninc
je = jd + jstepl
if (je.lt.istart) je = je + ninc
j = 0
*
* loop across transforms
* ----------------------
if (k.eq.0) then
*
cdir$ ivdep, shortloop
do 110 l = 1 , nvex
ajb = a(jb+j)
aje = a(je+j)
t1 = ajb + aje
ajc = a(jc+j)
ajd = a(jd+j)
t2 = ajc + ajd
t3 = ajb - aje
t4 = ajc - ajd
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
aja = a(ja+j)
t7 = aja - 0.25 * t5
a(ja+j) = aja + t5
t8 = t7 + t6
t9 = t7 - t6
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjb = b(jb+j)
bje = b(je+j)
u1 = bjb + bje
bjc = b(jc+j)
bjd = b(jd+j)
u2 = bjc + bjd
u3 = bjb - bje
u4 = bjc - bjd
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bja = b(ja+j)
u7 = bja - 0.25 * u5
b(ja+j) = bja + u5
u8 = u7 + u6
u9 = u7 - u6
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jb+j) = t8 - u11
b(jb+j) = u8 + t11
a(je+j) = t8 + u11
b(je+j) = u8 - t11
a(jc+j) = t9 - u10
b(jc+j) = u9 + t10
a(jd+j) = t9 + u10
b(jd+j) = u9 - t10
j = j + jump
110 continue
*
else
*
cdir$ ivdep,shortloop
do 130 l = 1 , nvex
ajb = a(jb+j)
aje = a(je+j)
t1 = ajb + aje
ajc = a(jc+j)
ajd = a(jd+j)
t2 = ajc + ajd
t3 = ajb - aje
t4 = ajc - ajd
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
aja = a(ja+j)
t7 = aja - 0.25 * t5
a(ja+j) = aja + t5
t8 = t7 + t6
t9 = t7 - t6
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjb = b(jb+j)
bje = b(je+j)
u1 = bjb + bje
bjc = b(jc+j)
bjd = b(jd+j)
u2 = bjc + bjd
u3 = bjb - bje
u4 = bjc - bjd
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bja = b(ja+j)
u7 = bja - 0.25 * u5
b(ja+j) = bja + u5
u8 = u7 + u6
u9 = u7 - u6
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jb+j) = co1*(t8-u11) - si1*(u8+t11)
b(jb+j) = si1*(t8-u11) + co1*(u8+t11)
a(je+j) = co4*(t8+u11) - si4*(u8-t11)
b(je+j) = si4*(t8+u11) + co4*(u8-t11)
a(jc+j) = co2*(t9-u10) - si2*(u9+t10)
b(jc+j) = si2*(t9-u10) + co2*(u9+t10)
a(jd+j) = co3*(t9+u10) - si3*(u9-t10)
b(jd+j) = si3*(t9+u10) + co3*(u9-t10)
j = j + jump
130 continue
*
endif
*
*-----( end of loop across transforms )
*
ja = ja + jstepx
if (ja.lt.istart) ja = ja + ninc
135 continue
140 continue
*-----( end of loop along transforms )
kk = kk + 2*la
150 continue
*-----( end of loop on nonzero k )
la = 5*la
160 continue
*-----( end of loop on type I radix-5 passes)
*
if (n.eq.5) go to 490
*
* loop on type II radix-5 passes
* ------------------------------
400 continue
*
do 480 ipass = mh+1 , m
jstep = (n*inc) / (5*la)
jstepl = jstep - ninc
laincl = la * ink - ninc
kk = 0
*
* loop on k
* ---------
do 470 k = 0 , jstep-ink , ink
*
if (k.gt.0) then
co1 = trigs(kk+1)
si1 = s*trigs(kk+2)
co2 = trigs(2*kk+1)
si2 = s*trigs(2*kk+2)
co3 = trigs(3*kk+1)
si3 = s*trigs(3*kk+2)
co4 = trigs(4*kk+1)
si4 = s*trigs(4*kk+2)
endif
*
* double loop along first transform in block
* ------------------------------------------
do 460 ll = k , (la-1)*ink , 5*jstep
*
do 450 jjj = ll , (n-1)*inc , 5*la*ink
ja = istart + jjj
*
* "transverse" loop
* -----------------
do 445 nu = 1 , inq
jb = ja + jstepl
if (jb.lt.istart) jb = jb + ninc
jc = jb + jstepl
if (jc.lt.istart) jc = jc + ninc
jd = jc + jstepl
if (jd.lt.istart) jd = jd + ninc
je = jd + jstepl
if (je.lt.istart) je = je + ninc
jf = ja + laincl
if (jf.lt.istart) jf = jf + ninc
jg = jf + jstepl
if (jg.lt.istart) jg = jg + ninc
jh = jg + jstepl
if (jh.lt.istart) jh = jh + ninc
ji = jh + jstepl
if (ji.lt.istart) ji = ji + ninc
jj = ji + jstepl
if (jj.lt.istart) jj = jj + ninc
jk = jf + laincl
if (jk.lt.istart) jk = jk + ninc
jl = jk + jstepl
if (jl.lt.istart) jl = jl + ninc
jm = jl + jstepl
if (jm.lt.istart) jm = jm + ninc
jn = jm + jstepl
if (jn.lt.istart) jn = jn + ninc
jo = jn + jstepl
if (jo.lt.istart) jo = jo + ninc
jp = jk + laincl
if (jp.lt.istart) jp = jp + ninc
jq = jp + jstepl
if (jq.lt.istart) jq = jq + ninc
jr = jq + jstepl
if (jr.lt.istart) jr = jr + ninc
js = jr + jstepl
if (js.lt.istart) js = js + ninc
jt = js + jstepl
if (jt.lt.istart) jt = jt + ninc
ju = jp + laincl
if (ju.lt.istart) ju = ju + ninc
jv = ju + jstepl
if (jv.lt.istart) jv = jv + ninc
jw = jv + jstepl
if (jw.lt.istart) jw = jw + ninc
jx = jw + jstepl
if (jx.lt.istart) jx = jx + ninc
jy = jx + jstepl
if (jy.lt.istart) jy = jy + ninc
j = 0
*
* loop across transforms
* ----------------------
if (k.eq.0) then
*
cdir$ ivdep, shortloop
do 410 l = 1 , nvex
ajb = a(jb+j)
aje = a(je+j)
t1 = ajb + aje
ajc = a(jc+j)
ajd = a(jd+j)
t2 = ajc + ajd
t3 = ajb - aje
t4 = ajc - ajd
ajf = a(jf+j)
ajb = ajf
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
aja = a(ja+j)
t7 = aja - 0.25 * t5
a(ja+j) = aja + t5
t8 = t7 + t6
t9 = t7 - t6
ajk = a(jk+j)
ajc = ajk
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjb = b(jb+j)
bje = b(je+j)
u1 = bjb + bje
bjc = b(jc+j)
bjd = b(jd+j)
u2 = bjc + bjd
u3 = bjb - bje
u4 = bjc - bjd
bjf = b(jf+j)
bjb = bjf
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bja = b(ja+j)
u7 = bja - 0.25 * u5
b(ja+j) = bja + u5
u8 = u7 + u6
u9 = u7 - u6
bjk = b(jk+j)
bjc = bjk
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jf+j) = t8 - u11
b(jf+j) = u8 + t11
aje = t8 + u11
bje = u8 - t11
a(jk+j) = t9 - u10
b(jk+j) = u9 + t10
ajd = t9 + u10
bjd = u9 - t10
*----------------------
ajg = a(jg+j)
ajj = a(jj+j)
t1 = ajg + ajj
ajh = a(jh+j)
aji = a(ji+j)
t2 = ajh + aji
t3 = ajg - ajj
t4 = ajh - aji
ajl = a(jl+j)
ajh = ajl
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
t7 = ajb - 0.25 * t5
a(jb+j) = ajb + t5
t8 = t7 + t6
t9 = t7 - t6
ajq = a(jq+j)
aji = ajq
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjg = b(jg+j)
bjj = b(jj+j)
u1 = bjg + bjj
bjh = b(jh+j)
bji = b(ji+j)
u2 = bjh + bji
u3 = bjg - bjj
u4 = bjh - bji
bjl = b(jl+j)
bjh = bjl
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
u7 = bjb - 0.25 * u5
b(jb+j) = bjb + u5
u8 = u7 + u6
u9 = u7 - u6
bjq = b(jq+j)
bji = bjq
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jg+j) = t8 - u11
b(jg+j) = u8 + t11
ajj = t8 + u11
bjj = u8 - t11
a(jl+j) = t9 - u10
b(jl+j) = u9 + t10
a(jq+j) = t9 + u10
b(jq+j) = u9 - t10
*----------------------
ajo = a(jo+j)
t1 = ajh + ajo
ajm = a(jm+j)
ajn = a(jn+j)
t2 = ajm + ajn
t3 = ajh - ajo
t4 = ajm - ajn
ajr = a(jr+j)
ajn = ajr
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
t7 = ajc - 0.25 * t5
a(jc+j) = ajc + t5
t8 = t7 + t6
t9 = t7 - t6
ajw = a(jw+j)
ajo = ajw
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjo = b(jo+j)
u1 = bjh + bjo
bjm = b(jm+j)
bjn = b(jn+j)
u2 = bjm + bjn
u3 = bjh - bjo
u4 = bjm - bjn
bjr = b(jr+j)
bjn = bjr
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
u7 = bjc - 0.25 * u5
b(jc+j) = bjc + u5
u8 = u7 + u6
u9 = u7 - u6
bjw = b(jw+j)
bjo = bjw
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jh+j) = t8 - u11
b(jh+j) = u8 + t11
a(jw+j) = t8 + u11
b(jw+j) = u8 - t11
a(jm+j) = t9 - u10
b(jm+j) = u9 + t10
a(jr+j) = t9 + u10
b(jr+j) = u9 - t10
*----------------------
ajt = a(jt+j)
t1 = aji + ajt
ajs = a(js+j)
t2 = ajn + ajs
t3 = aji - ajt
t4 = ajn - ajs
ajx = a(jx+j)
ajt = ajx
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
ajp = a(jp+j)
t7 = ajp - 0.25 * t5
ax = ajp + t5
t8 = t7 + t6
t9 = t7 - t6
a(jp+j) = ajd
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
a(jd+j) = ax
bjt = b(jt+j)
u1 = bji + bjt
bjs = b(js+j)
u2 = bjn + bjs
u3 = bji - bjt
u4 = bjn - bjs
bjx = b(jx+j)
bjt = bjx
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bjp = b(jp+j)
u7 = bjp - 0.25 * u5
bx = bjp + u5
u8 = u7 + u6
u9 = u7 - u6
b(jp+j) = bjd
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
b(jd+j) = bx
a(ji+j) = t8 - u11
b(ji+j) = u8 + t11
a(jx+j) = t8 + u11
b(jx+j) = u8 - t11
a(jn+j) = t9 - u10
b(jn+j) = u9 + t10
a(js+j) = t9 + u10
b(js+j) = u9 - t10
*----------------------
ajv = a(jv+j)
ajy = a(jy+j)
t1 = ajv + ajy
t2 = ajo + ajt
t3 = ajv - ajy
t4 = ajo - ajt
a(jv+j) = ajj
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
aju = a(ju+j)
t7 = aju - 0.25 * t5
ax = aju + t5
t8 = t7 + t6
t9 = t7 - t6
a(ju+j) = aje
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
a(je+j) = ax
bjv = b(jv+j)
bjy = b(jy+j)
u1 = bjv + bjy
u2 = bjo + bjt
u3 = bjv - bjy
u4 = bjo - bjt
b(jv+j) = bjj
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bju = b(ju+j)
u7 = bju - 0.25 * u5
bx = bju + u5
u8 = u7 + u6
u9 = u7 - u6
b(ju+j) = bje
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
b(je+j) = bx
a(jj+j) = t8 - u11
b(jj+j) = u8 + t11
a(jy+j) = t8 + u11
b(jy+j) = u8 - t11
a(jo+j) = t9 - u10
b(jo+j) = u9 + t10
a(jt+j) = t9 + u10
b(jt+j) = u9 - t10
j = j + jump
410 continue
*
else
*
cdir$ ivdep, shortloop
do 440 l = 1 , nvex
ajb = a(jb+j)
aje = a(je+j)
t1 = ajb + aje
ajc = a(jc+j)
ajd = a(jd+j)
t2 = ajc + ajd
t3 = ajb - aje
t4 = ajc - ajd
ajf = a(jf+j)
ajb = ajf
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
aja = a(ja+j)
t7 = aja - 0.25 * t5
a(ja+j) = aja + t5
t8 = t7 + t6
t9 = t7 - t6
ajk = a(jk+j)
ajc = ajk
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjb = b(jb+j)
bje = b(je+j)
u1 = bjb + bje
bjc = b(jc+j)
bjd = b(jd+j)
u2 = bjc + bjd
u3 = bjb - bje
u4 = bjc - bjd
bjf = b(jf+j)
bjb = bjf
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bja = b(ja+j)
u7 = bja - 0.25 * u5
b(ja+j) = bja + u5
u8 = u7 + u6
u9 = u7 - u6
bjk = b(jk+j)
bjc = bjk
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jf+j) = co1*(t8-u11) - si1*(u8+t11)
b(jf+j) = si1*(t8-u11) + co1*(u8+t11)
aje = co4*(t8+u11) - si4*(u8-t11)
bje = si4*(t8+u11) + co4*(u8-t11)
a(jk+j) = co2*(t9-u10) - si2*(u9+t10)
b(jk+j) = si2*(t9-u10) + co2*(u9+t10)
ajd = co3*(t9+u10) - si3*(u9-t10)
bjd = si3*(t9+u10) + co3*(u9-t10)
*----------------------
ajg = a(jg+j)
ajj = a(jj+j)
t1 = ajg + ajj
ajh = a(jh+j)
aji = a(ji+j)
t2 = ajh + aji
t3 = ajg - ajj
t4 = ajh - aji
ajl = a(jl+j)
ajh = ajl
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
t7 = ajb - 0.25 * t5
a(jb+j) = ajb + t5
t8 = t7 + t6
t9 = t7 - t6
ajq = a(jq+j)
aji = ajq
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjg = b(jg+j)
bjj = b(jj+j)
u1 = bjg + bjj
bjh = b(jh+j)
bji = b(ji+j)
u2 = bjh + bji
u3 = bjg - bjj
u4 = bjh - bji
bjl = b(jl+j)
bjh = bjl
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
u7 = bjb - 0.25 * u5
b(jb+j) = bjb + u5
u8 = u7 + u6
u9 = u7 - u6
bjq = b(jq+j)
bji = bjq
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jg+j) = co1*(t8-u11) - si1*(u8+t11)
b(jg+j) = si1*(t8-u11) + co1*(u8+t11)
ajj = co4*(t8+u11) - si4*(u8-t11)
bjj = si4*(t8+u11) + co4*(u8-t11)
a(jl+j) = co2*(t9-u10) - si2*(u9+t10)
b(jl+j) = si2*(t9-u10) + co2*(u9+t10)
a(jq+j) = co3*(t9+u10) - si3*(u9-t10)
b(jq+j) = si3*(t9+u10) + co3*(u9-t10)
*----------------------
ajo = a(jo+j)
t1 = ajh + ajo
ajm = a(jm+j)
ajn = a(jn+j)
t2 = ajm + ajn
t3 = ajh - ajo
t4 = ajm - ajn
ajr = a(jr+j)
ajn = ajr
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
t7 = ajc - 0.25 * t5
a(jc+j) = ajc + t5
t8 = t7 + t6
t9 = t7 - t6
ajw = a(jw+j)
ajo = ajw
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
bjo = b(jo+j)
u1 = bjh + bjo
bjm = b(jm+j)
bjn = b(jn+j)
u2 = bjm + bjn
u3 = bjh - bjo
u4 = bjm - bjn
bjr = b(jr+j)
bjn = bjr
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
u7 = bjc - 0.25 * u5
b(jc+j) = bjc + u5
u8 = u7 + u6
u9 = u7 - u6
bjw = b(jw+j)
bjo = bjw
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
a(jh+j) = co1*(t8-u11) - si1*(u8+t11)
b(jh+j) = si1*(t8-u11) + co1*(u8+t11)
a(jw+j) = co4*(t8+u11) - si4*(u8-t11)
b(jw+j) = si4*(t8+u11) + co4*(u8-t11)
a(jm+j) = co2*(t9-u10) - si2*(u9+t10)
b(jm+j) = si2*(t9-u10) + co2*(u9+t10)
a(jr+j) = co3*(t9+u10) - si3*(u9-t10)
b(jr+j) = si3*(t9+u10) + co3*(u9-t10)
*----------------------
ajt = a(jt+j)
t1 = aji + ajt
ajs = a(js+j)
t2 = ajn + ajs
t3 = aji - ajt
t4 = ajn - ajs
ajx = a(jx+j)
ajt = ajx
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
ajp = a(jp+j)
t7 = ajp - 0.25 * t5
ax = ajp + t5
t8 = t7 + t6
t9 = t7 - t6
a(jp+j) = ajd
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
a(jd+j) = ax
bjt = b(jt+j)
u1 = bji + bjt
bjs = b(js+j)
u2 = bjn + bjs
u3 = bji - bjt
u4 = bjn - bjs
bjx = b(jx+j)
bjt = bjx
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bjp = b(jp+j)
u7 = bjp - 0.25 * u5
bx = bjp + u5
u8 = u7 + u6
u9 = u7 - u6
b(jp+j) = bjd
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
b(jd+j) = bx
a(ji+j) = co1*(t8-u11) - si1*(u8+t11)
b(ji+j) = si1*(t8-u11) + co1*(u8+t11)
a(jx+j) = co4*(t8+u11) - si4*(u8-t11)
b(jx+j) = si4*(t8+u11) + co4*(u8-t11)
a(jn+j) = co2*(t9-u10) - si2*(u9+t10)
b(jn+j) = si2*(t9-u10) + co2*(u9+t10)
a(js+j) = co3*(t9+u10) - si3*(u9-t10)
b(js+j) = si3*(t9+u10) + co3*(u9-t10)
*----------------------
ajv = a(jv+j)
ajy = a(jy+j)
t1 = ajv + ajy
t2 = ajo + ajt
t3 = ajv - ajy
t4 = ajo - ajt
a(jv+j) = ajj
t5 = t1 + t2
t6 = c1 * ( t1 - t2 )
aju = a(ju+j)
t7 = aju - 0.25 * t5
ax = aju + t5
t8 = t7 + t6
t9 = t7 - t6
a(ju+j) = aje
t10 = c3 * t3 - c2 * t4
t11 = c2 * t3 + c3 * t4
a(je+j) = ax
bjv = b(jv+j)
bjy = b(jy+j)
u1 = bjv + bjy
u2 = bjo + bjt
u3 = bjv - bjy
u4 = bjo - bjt
b(jv+j) = bjj
u5 = u1 + u2
u6 = c1 * ( u1 - u2 )
bju = b(ju+j)
u7 = bju - 0.25 * u5
bx = bju + u5
u8 = u7 + u6
u9 = u7 - u6
b(ju+j) = bje
u10 = c3 * u3 - c2 * u4
u11 = c2 * u3 + c3 * u4
b(je+j) = bx
a(jj+j) = co1*(t8-u11) - si1*(u8+t11)
b(jj+j) = si1*(t8-u11) + co1*(u8+t11)
a(jy+j) = co4*(t8+u11) - si4*(u8-t11)
b(jy+j) = si4*(t8+u11) + co4*(u8-t11)
a(jo+j) = co2*(t9-u10) - si2*(u9+t10)
b(jo+j) = si2*(t9-u10) + co2*(u9+t10)
a(jt+j) = co3*(t9+u10) - si3*(u9-t10)
b(jt+j) = si3*(t9+u10) + co3*(u9-t10)
j = j + jump
440 continue
*
endif
*
*-----(end of loop across transforms)
*
ja = ja + jstepx
if (ja.lt.istart) ja = ja + ninc
445 continue
450 continue
460 continue
*-----( end of double loop for this k )
kk = kk + 2*la
470 continue
*-----( end of loop over values of k )
la = 5*la
480 continue
*-----( end of loop on type II radix-5 passes )
*-----( nvex transforms completed)
490 continue
istart = istart + nvex * jump
500 continue
*-----( end of loop on blocks of transforms )
*
return
end
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