from rsf.proj import *

def Grey(data,other):
        Result(data,'real | grey clip=0.7 max1=2 label2=Trace color=d unit2="" label1=Time unit1="s" title="" wherexlabel=t scalebar=n   %s'%other)

def Grey1(data,other):
        Result(data,'math output="abs(input)" | real | grey max1=2 label2=Trace unit2="" label1=Time unit1="s" wherexlabel=t allpos=y color=j title= scalebar=y unit2= %s clip=0.5 maxval=0.5 minval=-0.5'%other)

def Grey2(data,other):
        Result(data,'grey max1=2 clip=0.7 label2=Trace color=d unit2="" label1=Time unit1="s" title="" wherexlabel=t scalebar=n   %s'%other)

def Grey3(data,other):
        Result(data,'grey clip=0.7 max1=2 label2=Trace color=d unit2="" label1=Time unit1="s" title="" wherexlabel=t scalebar=n   %s'%other)

def Greyzoom(data,other):
        Result(data,'put d1=0.002 d2=1 o1=1.5 o2=0 | grey minval=-0.3 maxval=0.3 clip=0.3 label2=Trace color=g unit2="" label1=Time unit1="s" title="" wherexlabel=t scalebar=n  %s'%other)

window = 'window f1=%d n1=%d | ' % (0,0.004)
graph = 'put o1=0 | graph pad=n crowd1=0.75 label2=Amplitude label1=Time unit1=s crowd2=0.3 wanttitle=n min2=-1.6 max2=1.6 unit2= '

###########################################################################
## Four horizontal events
###########################################################################
Flow('synth1',None,
     '''
     spike n1=512 n2=256 d2=1 o2=0 label2=Trace unit2=
     nsp=1 k1=110 p2=0 mag=1 |
     ricker1 frequency=40  
     ''')

Flow('synth2',None,
     '''
     spike n1=512 n2=256 d2=1 o2=0 label2=Trace unit2=
     nsp=1 k1=220 p2=0 mag=1 |
     ricker1 frequency=30 
     ''')

Flow('synth3',None,
     '''
     spike n1=512 n2=256 d2=1 o2=0 label2=Trace unit2=
     nsp=1 k1=330 p2=0 mag=1 |
     ricker1 frequency=20 
     ''')

Flow('synth4',None,
     '''
     spike n1=512 n2=256 d2=1 o2=0 label2=Trace unit2=
     nsp=1 k1=440 p2=0 mag=1 |
     ricker1 frequency=10 
     ''')
Flow('synth0','synth1 synth2 synth3 synth4','add scale=1,1,1,1 ${SOURCES[1:4]} | window n2=200  | scale axis=2 ')
Flow('synth','synth0','noise seed=2008 var=0.00000000000000001')

#Plot('synth','grey clip=0.9 title="Input Data"')
Grey2('synth','title="Noisy data"')
Grey2('synth0','title="Clean data"')


# find adaptive PEF
ns = 4

Flow('synth-shift','synth','shift1 ns=%d' % ns)

Flow('synth-itrace','synth','envelope hilb=y')
Flow('synth-ctrace','synth synth-itrace','cmplx ${SOURCES[1]}')

Flow('synth-ishift','synth-shift','envelope hilb=y')
Flow('synth-cshift','synth-shift synth-ishift','cmplx ${SOURCES[1]} | transp plane=23')

Flow('synth-cpef synth-cpre','synth-cshift synth-ctrace',
     'clpf match=${SOURCES[1]} rect1=20 rect2=40 pred=${TARGETS[1]}')
Flow('synth-cerr','synth-cpre synth-ctrace','add scale=-1,1 ${SOURCES[1]}')

Result('synth-cerr','real | grey clip=0.9 title="Residual after RNAR" ')

Flow('synth-cpoly','synth-cpef','window n3=1 | math output=-1 | cat axis=3 $SOURCE')
Flow('synth-croots','synth-cpoly',
     '''
     transp plane=23 | transp plane=12 |
     roots verb=n niter=100 sort=p |
     transp plane=12 | transp plane=23
     ''')

# Frequency components
import math
wf = 2*math.pi
dt = 0.004

Flow('synth-group','synth-croots',
     '''
     math output="-arg(input)/%g" | real 
     ''' % (wf*dt))

Flow('synth-freqs','synth-group',
     '''
     causint | math output="input*%g/(x1+%g)" 
     ''' % (dt,dt))

for n in range(ns):
    group = 'synth-group%d' % n
    Flow(group,'synth-group','window n3=1 f3=%d' % n)
    Plot(group,
    '''
    grey color=j bias=50 clip=25 scalebar=y title="Instantaneous Frequency %d"
    barlabel=Frequency barunit=Hz unit2=
    ''' % (n+1))
    Result(group,'Overlay')

    freq = 'synth-freq%d' % n
    Flow(freq,'synth-freqs','window n3=1 f3=%d' % n)
    Plot(freq,
    '''
    grey color=j bias=50 clip=25 scalebar=y title="Local Frequency %d"
    barlabel=Frequency barunit=Hz 
    ''' % (n+1))
    Result(freq,'Overlay')

Result('synth-freqs','synth-freq0 synth-freq1','OverUnderIso')

Result('synth-vgroup','synth-group0 synth-group1','OverUnderIso')

# Decomposition

Flow('synth-comps','synth-freqs','rtoc | math output="exp(I*input*x1*%g)" ' % wf)

Flow('synth-cwht synth-cfit','synth-comps synth-ctrace',
     'clpf match=${SOURCES[1]} rect1=5 rect2=5 pred=${TARGETS[1]}')

Flow('synth-cdif','synth-cfit synth-ctrace','add scale=1,-1 ${SOURCES[1]}')

Flow('synth-csign','synth-comps synth-cwht','math other=${SOURCES[1]} output="input*other" ')


for n in range(ns):
    sign = 'synth-sign%d' % n
    Flow(sign,'synth-csign','window n3=1 f3=%d' % n)
    cwht = 'synth-cwht%d' % n
    Flow(cwht,'synth-cwht','window n3=1 f3=%d' % n)

Grey1('synth-cwht0','title="Component 1"')
Grey1('synth-cwht1','title="Component 2"')
Grey1('synth-cwht2','title="Component 3"')
Grey1('synth-cwht3','title="Component 4"')
Grey('synth-sign0','title="Component 1"')
Grey('synth-sign1','title="Component 2"')
Grey('synth-sign2','title="Component 3"')
Grey('synth-sign3','title="Component 4"')

Grey('synth-cfit','title="Denoised data (SDRNAR)"')
Grey('synth-cdif','title="Noise (SDRNAR)"')

Flow('synth-fx','synth','fxdecon n2w=200 lenf=35')
Grey3('synth-fx','title="Denoised data (FX)"')

Flow('synth-fx-dif','synth synth-fx','add scale=1,-1 ${SOURCES[1]}')
Grey3('synth-fx-dif','title="Noise (FX)"')

Flow('synth-mf','synth','transp | mf nfw=10 boundary=y | transp')
Grey3('synth-mf','title="Denoised data (MF)"')

Flow('synth-mf-dif','synth synth-mf','add scale=1,-1 ${SOURCES[1]}')
Grey3('synth-mf-dif','title="Noise (MF)"')

Flow('synth-svd','synth','svddenoise pclip=0.5')
Grey3('synth-svd','title="Denoised data (SVD)"')

Flow('synth-svd-dif','synth synth-svd','add scale=1,-1 ${SOURCES[1]}')
Grey3('synth-svd-dif','title="Noise (SVD)"')


## For single trace
Flow('trace1','synth','window n2=1 f2=100')
Flow('trace10','synth0','window n2=1 f2=100')
Flow('trace2','synth-sign0','real | window n2=1 f2=100 ')       #first
Flow('trace3','synth-sign1','real |window n2=1 f2=100') #second
Flow('trace4','synth-sign2','real |window n2=1 f2=100') #third
Flow('trace5','synth-sign3','real |window n2=1 f2=100') #fouth
Flow('trace6','synth-cdif','real |window n2=1 f2=100')  #noise
Flow('trace7','synth-cfit','real |window n2=1 f2=100')  #denoised

#Result('trace-disp','trace7 trace6 trace5 trace4 trace3 trace2 trace1','cat axis=2 ${SOURCES[1:7]} | dots clip=1 labels=Denoised:Residual:Fourth:Third:Second:First:Noisy') 
Result('trace-disp','trace7 trace6 trace5 trace4 trace3 trace2 trace1','cat axis=2 ${SOURCES[1:7]} | dots clip=1 labels=\(g\):\(f\):\(e\):\(d\):\(c\):\(b\):\(a\)')

Flow('trace-sig','synth','window n2=1 f2=100')
Flow('sigemd','trace-sig','emd | pad n2=5')
Result('trace-sig','trace-sig',graph)
Result('trace-sigemd4','sigemd','window n2=1 f2=0 | '+ graph)
Result('trace-sigemd3','sigemd','window n2=1 f2=1 | '+ graph)
Result('trace-sigemd2','sigemd','window n2=1 f2=2 | '+ graph)
Result('trace-sigemd1','sigemd','window n2=2 f2=3 | stack axis=2 norm=n | ' + graph)

Result('trace-sign1','trace2','window n2=1 f2=1 | '+ graph)
Result('trace-sign2','trace3','window n2=1 f2=2 | ' + graph)
Result('trace-sign3','trace4','window n2=1 f2=3 | '+ graph)
Result('trace-sign4','trace5','window n2=1 f2=4 | '+ graph)

End()