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@ -1,5 +1,5 @@
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from __future__ import division
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from wafo.misc import meshgrid
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from wafo.misc import meshgrid, gravity
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from wafo.objects import mat2timeseries, TimeSeries
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import warnings
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@ -2931,7 +2931,7 @@ class SpecData2D(WafoData):
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self.phi = mod(self.phi+phi0+pi,2*pi)-pi
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if (rotateGrid and (self.phi!=0)):
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# Do a physical rotation of spectrum
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theta = Snew.args[0]
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#theta = Snew.args[0]
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ntOld = len(theta);
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if (mod(theta[0]-theta[-1],2*pi)==0):
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nt = ntOld-1
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@ -2939,7 +2939,7 @@ class SpecData2D(WafoData):
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nt = ntOld
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theta[0:nt] = mod(theta[0:nt]-self.phi+pi,2*pi)-pi
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Snew.phi = 0;
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self.phi = 0
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ind = theta.argsort()
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self.data = self.data[ind,:]
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self.args[0] = theta[ind]
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@ -2980,7 +2980,7 @@ class SpecData2D(WafoData):
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def moment(self, nr=2, vari='xt', even=True):
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def moment(self, nr=2, vari='xt'):
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'''
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Calculates spectral moments from spectrum
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@ -2991,10 +2991,6 @@ class SpecData2D(WafoData):
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vari : string
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variables in model, optional when two-dim.spectrum,
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string with 'x' and/or 'y' and/or 't'
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even : bool
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False for all moments,
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True for only even orders
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Returns
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-------
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m : list of moments
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@ -3024,8 +3020,15 @@ class SpecData2D(WafoData):
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For the calculation of moments see Baxevani et al.
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Example:
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S=demospec('dir')
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[m,mtext]=spec2mom(S,2,'xyt')
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>>> import wafo.spectrum.models as sm
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>>> D = sm.Spreading()
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>>> SD = D.tospecdata2d(sm.Jonswap().tospecdata())
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>>> m,mtext = SD.moment(nr=2,vari='xyt')
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>>> m,mtext
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(array([ 3.06081401e+00, 1.31633777e-01, -1.06245690e-17,
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2.13024554e+00, 1.14268485e-02, 8.07334609e-03,
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1.67721091e+00, -5.29341959e-19, 1.08960751e-01,
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1.08960751e-01]), ['m0', 'mx', 'my', 'mt', 'mxx', 'myy', 'mtt', 'mxy', 'mxt', 'myt'])
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References
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----------
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@ -3058,135 +3061,91 @@ class SpecData2D(WafoData):
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w = ravel(S1.args[0])
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theta = S1.args[1]-S1.phi
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S = S1.data
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Sw = simps(S,x=theta)
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Sw = simps(S,x=theta,axis=0)
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m = [simps(Sw,x=w)]
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mtext=['m0']
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if nr>0:
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vec = []
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g = np.atleast_1d(S1.__dict__.get('g', gravity()))
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kx=w**2/g[0] # maybe different normalization in x and y => diff. g
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ky=w**2/g[-1]
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nw=w.size
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if 'x' in vari:
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Sc = simps(S*np.cos(theta[:,None]),x=theta)
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#% integral S*cos(th) dth
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#end
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ct = np.cos(theta[:,None])
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Sc = simps(S*ct,x=theta, axis=0)
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vec.append(kx*Sc)
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mtext.append('mx')
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if 'y' in vari:
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Ss = simps(S*np.sin(theta[:,None]),x=theta)
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#end
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# if ~isfield(S1,'g')
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# S1.g=gravity
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# end
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# kx=w.^2/S1.g(1) % maybe different normalization in x and y => diff. g
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# ky=w.^2/S1.g(end)
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#
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# if Nv>=1
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# switch vari
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# case 'x'
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# vec = kx.*Sc
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# mtext(end+1)={'mx'}
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# case 'y'
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# vec = ky.*Ss
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# mtext(end+1)={'my'}
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# case 't'
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# vec = w.*Sw
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# mtext(end+1)={'mt'}
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# end
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# else
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# vec = [kx.*Sc ky.*Ss w*Sw]
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# mtext(end+(1:3))={'mx', 'my', 'mt'}
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# end
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# if nr>1
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# if strcmpi(vari(1),'x')
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# Sc=simpson(th,S1.S.*(cos(th)*ones(1,nw))).'
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# % integral S*cos(th) dth
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# Sc2=simpson(th,S1.S.*(cos(th).^2*ones(1,nw))).'
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# % integral S*cos(th)^2 dth
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# end
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# if strcmpi(vari(1),'y')||strcmpi(vari(2),'y')
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# Ss=simpson(th,S1.S.*(sin(th)*ones(1,nw))).'
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# % integral S*sin(th) dth
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# Ss2=simpson(th,S1.S.*(sin(th).^2*ones(1,nw))).'
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# % integral S*sin(th)^2 dth
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# if strcmpi(vari(1),'x')
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# Scs=simpson(th,S1.S.*((cos(th).*sin(th))*ones(1,nw))).'
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# % integral S*cos(th)*sin(th) dth
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# end
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# end
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# if ~isfield(S1,'g')
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# S1.g=gravity
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# end
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#
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# if Nv==2
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# switch vari
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# case 'xy'
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# vec=[kx.*Sc ky.*Ss kx.^2.*Sc2 ky.^2.*Ss2 kx.*ky.*Scs]
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# mtext(end+(1:5))={'mx','my','mxx', 'myy', 'mxy'}
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# case 'xt'
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# vec=[kx.*Sc w.*Sw kx.^2.*Sc2 w.^2.*Sw kx.*w.*Sc]
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# mtext(end+(1:5))={'mx','mt','mxx', 'mtt', 'mxt'}
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# case 'yt'
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# vec=[ky.*Ss w.*Sw ky.^2.*Ss2 w.^2.*Sw ky.*w.*Ss]
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# mtext(end+(1:5))={'my','mt','myy', 'mtt', 'myt'}
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# end
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# else
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# vec=[kx.*Sc ky.*Ss w.*Sw kx.^2.*Sc2 ky.^2.*Ss2 w.^2.*Sw kx.*ky.*Scs kx.*w.*Sc ky.*w.*Ss]
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# mtext(end+(1:9))={'mx','my','mt','mxx', 'myy', 'mtt', 'mxy', 'mxt', 'myt'}
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# end
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# if nr>3
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# if strcmpi(vari(1),'x')
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# Sc3=simpson(th,S1.S.*(cos(th).^3*ones(1,nw))).'
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# % integral S*cos(th)^3 dth
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# Sc4=simpson(th,S1.S.*(cos(th).^4*ones(1,nw))).'
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# % integral S*cos(th)^4 dth
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# end
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# if strcmpi(vari(1),'y')||strcmpi(vari(2),'y')
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# Ss3=simpson(th,S1.S.*(sin(th).^3*ones(1,nw))).'
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# % integral S*sin(th)^3 dth
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# Ss4=simpson(th,S1.S.*(sin(th).^4*ones(1,nw))).'
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# % integral S*sin(th)^4 dth
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# if strcmpi(vari(1),'x') %both x and y
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# Sc2s=simpson(th,S1.S.*((cos(th).^2.*sin(th))*ones(1,nw))).'
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# % integral S*cos(th)^2*sin(th) dth
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# Sc3s=simpson(th,S1.S.*((cos(th).^3.*sin(th))*ones(1,nw))).'
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# % integral S*cos(th)^3*sin(th) dth
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# Scs2=simpson(th,S1.S.*((cos(th).*sin(th).^2)*ones(1,nw))).'
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# % integral S*cos(th)*sin(th)^2 dth
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# Scs3=simpson(th,S1.S.*((cos(th).*sin(th).^3)*ones(1,nw))).'
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# % integral S*cos(th)*sin(th)^3 dth
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# Sc2s2=simpson(th,S1.S.*((cos(th).^2.*sin(th).^2)*ones(1,nw))).'
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# % integral S*cos(th)^2*sin(th)^2 dth
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# end
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# end
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# if Nv==2
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# switch vari
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# case 'xy'
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# vec=[vec kx.^4.*Sc4 ky.^4.*Ss4 kx.^3.*ky.*Sc3s ...
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# kx.^2.*ky.^2.*Sc2s2 kx.*ky.^3.*Scs3]
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# mtext(end+(1:5))={'mxxxx','myyyy','mxxxy','mxxyy','mxyyy'}
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# case 'xt'
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# vec=[vec kx.^4.*Sc4 w.^4.*Sw kx.^3.*w.*Sc3 ...
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# kx.^2.*w.^2.*Sc2 kx.*w.^3.*Sc]
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# mtext(end+(1:5))={'mxxxx','mtttt','mxxxt','mxxtt','mxttt'}
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# case 'yt'
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# vec=[vec ky.^4.*Ss4 w.^4.*Sw ky.^3.*w.*Ss3 ...
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# ky.^2.*w.^2.*Ss2 ky.*w.^3.*Ss]
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# mtext(end+(1:5))={'myyyy','mtttt','myyyt','myytt','myttt'}
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# end
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# else
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# vec=[vec kx.^4.*Sc4 ky.^4.*Ss4 w.^4.*Sw kx.^3.*ky.*Sc3s ...
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# kx.^2.*ky.^2.*Sc2s2 kx.*ky.^3.*Scs3 kx.^3.*w.*Sc3 ...
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# kx.^2.*w.^2.*Sc2 kx.*w.^3.*Sc ky.^3.*w.*Ss3 ...
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# ky.^2.*w.^2.*Ss2 ky.*w.^3.*Ss kx.^2.*ky.*w.*Sc2s ...
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# kx.*ky.^2.*w.*Scs2 kx.*ky.*w.^2.*Scs]
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# mtext(end+(1:15))={'mxxxx','myyyy','mtttt','mxxxy','mxxyy',...
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# 'mxyyy','mxxxt','mxxtt','mxttt','myyyt','myytt','myttt','mxxyt','mxyyt','mxytt'}
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#
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# end % if Nv==2 ... else ...
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# end % if nr>3
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# end % if nr>1
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# m=[m simpson(w,vec)]
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# end % if nr>0
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# % end %%if Nv==1... else... to be removed
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# end % ... else two-dim spectrum
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st = np.sin(theta[:,None])
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Ss = simps(S*st,x=theta, axis=0)
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vec.append(ky*Ss)
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mtext.append('my')
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if 't' in vari:
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vec.append(w*Sw)
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mtext.append('mt')
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if nr>1:
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if 'x' in vari:
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Sc2 = simps(S*ct**2,x=theta, axis=0)
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vec.append(kx**2*Sc2)
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mtext.append('mxx')
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if 'y' in vari:
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Ss2 = simps(S*st**2,x=theta, axis=0)
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vec.append(ky**2*Ss2)
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mtext.append('myy')
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if 't' in vari:
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vec.append(w**2*Sw)
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mtext.append('mtt')
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if 'x' in vari and 'y' in vari:
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Scs = simps(S*ct*st,x=theta, axis=0)
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vec.append(kx*ky*Scs)
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mtext.append('mxy')
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if 'x' in vari and 't' in vari:
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vec.append(kx*w*Sc)
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mtext.append('mxt')
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if 'y' in vari and 't' in vari:
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vec.append(ky*w*Sc)
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mtext.append('myt')
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if nr>3:
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if 'x' in vari:
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Sc3 = simps(S*ct**3,x=theta, axis=0)
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Sc4 = simps(S*ct**4,x=theta, axis=0)
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vec.append(kx**4*Sc4)
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mtext.append('mxxxx')
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if 'y' in vari:
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Ss3 = simps(S*st**3,x=theta, axis=0)
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Ss4 = simps(S*st**4,x=theta, axis=0)
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vec.append(ky**4*Ss4)
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mtext.append('myyyy')
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if 't' in vari:
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vec.append(w**4*Sw)
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mtext.append('mtttt')
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if 'x' in vari and 'y' in vari:
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Sc2s = simps(S*ct**2*st,x=theta, axis=0)
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Sc3s = simps(S*ct**3*st,x=theta, axis=0)
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Scs2 = simps(S*ct*st**2,x=theta, axis=0)
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Scs3 = simps(S*ct*st**3,x=theta, axis=0)
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Sc2s2 = simps(S*ct**2*st**2,x=theta, axis=0)
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vec.extend((kx**3*ky*Sc3s,kx**2*ky**2*Sc2s2, kx*ky**3*Scs3))
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mtext.extend(('mxxxy','mxxyy','mxyyy'))
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if 'x' in vari and 't' in vari:
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vec.extend((kx**3*w*Sc3, kx**2*w**2*Sc2, kx*w**3*Sc))
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mtext.extend(('mxxxt','mxxtt','mxttt'))
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if 'y' in vari and 't' in vari:
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vec.extend((ky**3*w*Ss3, ky**2*w**2*Ss2, ky*w**3*Ss))
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mtext.extend(('myyyt','myytt','myttt'))
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if 'x' in vari and 'y' in vari and 't' in vari:
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vec.extend((kx**2*ky*w*Sc2s, kx*ky**2*w*Scs2, kx*ky*w**2*Scs))
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mtext.extend(('mxxyt','mxyyt','mxytt'))
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#end % if nr>1
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m.extend([simps(vals, x=w) for vals in vec])
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return np.asarray(m), mtext
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def interp(self):
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per.andreas.brodtkorb
14 years ago