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jgs |
154 |
#!/usr/bin/python |
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# $Id$ |
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""" |
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program generates parts of the util.py and the test_util.py script |
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""" |
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u_prog ="import esys.escript\n" |
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u_prog+="import numarray\n" |
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u_prog+="import math\n" |
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t_prog="" |
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func= [ ["atan", [-100.,100.], "math.atan(%a%)"], |
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["log", [1.e-8,10.], "math.log(%a%)"] |
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] |
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import random |
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import numarray |
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import math |
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finc=1.e-6 |
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def makeArray(shape,rng): |
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l=rng[1]-rng[0] |
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out=numarray.zeros(shape,numarray.Float64) |
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if len(shape)==0: |
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out=random.random() |
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elif len(shape)==1: |
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for i0 in range(shape[0]): |
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out[i0]=l*random.random()+rng[0] |
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elif len(shape)==2: |
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for i0 in range(shape[0]): |
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for i1 in range(shape[1]): |
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out[i0,i1]=l*random.random()+rng[0] |
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elif len(shape)==3: |
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for i0 in range(shape[0]): |
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for i1 in range(shape[1]): |
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for i2 in range(shape[2]): |
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out[i0,i1,i2]=l*random.random()+rng[0] |
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elif len(shape)==4: |
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for i0 in range(shape[0]): |
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for i1 in range(shape[1]): |
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for i2 in range(shape[2]): |
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for i3 in range(shape[3]): |
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out[i0,i1,i2,i3]=l*random.random()+rng[0] |
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else: |
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raise SystemError,"rank is restricted to 4" |
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return out |
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def makeResult2(val,case): |
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if isinstance(val,float): |
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out=val |
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elif len(val.shape)==0: |
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out=val[0] |
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elif len(val.shape)==1: |
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out=val[0] |
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for i0 in range(val.shape[0]): |
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if case == "Lsup": |
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out=max(out,abs(val[i0])) |
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elif case == "sup": |
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out=max(out,val[i0]) |
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else: |
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out=min(out,val[i0]) |
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elif len(val.shape)==2: |
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out=val[0,0] |
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for i0 in range(val.shape[0]): |
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for i1 in range(val.shape[1]): |
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if case == "Lsup": |
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out=max(out,abs(val[i0,i1])) |
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elif case == "sup": |
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out=max(out,val[i0,i1]) |
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else: |
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out=min(out,val[i0,i1]) |
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elif len(val.shape)==3: |
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out=val[0,0,0] |
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for i0 in range(val.shape[0]): |
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for i1 in range(val.shape[1]): |
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for i2 in range(val.shape[2]): |
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if case == "Lsup": |
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out=max(out,abs(val[i0,i1,i2])) |
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elif case == "sup": |
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out=max(out,val[i0,i1,i2]) |
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else: |
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out=min(out,val[i0,i1,i2]) |
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elif len(val.shape)==4: |
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out=val[0,0,0,0] |
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for i0 in range(val.shape[0]): |
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for i1 in range(val.shape[1]): |
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for i2 in range(val.shape[2]): |
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for i3 in range(val.shape[3]): |
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if case == "Lsup": |
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out=max(out,abs(val[i0,i1,i2,i3])) |
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elif case == "sup": |
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out=max(out,val[i0,i1,i2,i3]) |
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else: |
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out=min(out,val[i0,i1,i2,i3]) |
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else: |
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raise SystemError,"rank is restricted to 4" |
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return out |
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def makeResult(val,f): |
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if isinstance(val,float): |
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out=eval(f[2].replace("%a%","val")) |
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elif len(val.shape)==0: |
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out=eval(f[2].replace("%a%","val")) |
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elif len(val.shape)==1: |
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out=numarray.zeros(val.shape,numarray.Float64) |
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for i0 in range(val.shape[0]): |
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out[i0]=eval(f[2].replace("%a%","val[i0]")) |
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elif len(val.shape)==2: |
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out=numarray.zeros(val.shape,numarray.Float64) |
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for i0 in range(val.shape[0]): |
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for i1 in range(val.shape[1]): |
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out[i0,i1]=eval(f[2].replace("%a%","val[i0,i1]")) |
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elif len(val.shape)==3: |
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out=numarray.zeros(val.shape,numarray.Float64) |
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for i0 in range(val.shape[0]): |
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for i1 in range(val.shape[1]): |
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for i2 in range(val.shape[2]): |
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out[i0,i1,i2]=eval(f[2].replace("%a%","val[i0,i1,i2]")) |
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elif len(val.shape)==4: |
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out=numarray.zeros(val.shape,numarray.Float64) |
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for i0 in range(val.shape[0]): |
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for i1 in range(val.shape[1]): |
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for i2 in range(val.shape[2]): |
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for i3 in range(val.shape[3]): |
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out[i0,i1,i2,i3]=eval(f[2].replace("%a%","val[i0,i1,i2,i3]")) |
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else: |
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raise SystemError,"rank is restricted to 4" |
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return out |
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def mkText(case,name,a,a1=None): |
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t_out="" |
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if case in ["float","array" ]: |
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if isinstance(a,float): |
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t_out+=" %s=%s\n"%(name,a) |
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elif len(a)==1: |
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t_out+=" %s=%s\n"%(name,a) |
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else: |
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t_out+=" %s=numarray.array(%s)\n"%(name,a.tolist()) |
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elif case=="constData": |
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if isinstance(a,float): |
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t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
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elif len(a)==1: |
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t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
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else: |
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t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
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elif case=="taggedData": |
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if isinstance(a,float): |
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t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
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t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
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elif len(a)==1: |
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t_out+=" %s=Data(%s,self.functionspace)\n"%(name,a) |
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t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1) |
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else: |
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t_out+=" %s=Data(numarray.array(%s),self.functionspace)\n"%(name,a.tolist()) |
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t_out+=" %s.setTaggedValue(1,%s)\n"%(name,a1.tolist()) |
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elif case=="expandedData": |
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t_out+=" msk_%s=whereNegative(self.functionspace.getX()[0]-0.5)\n"%name |
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if isinstance(a,float): |
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t_out+=" %s=msk_%s*%s+(1.-msk_%s)*%s\n"%(name,name,a,name,a1) |
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elif len(a)==1: |
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t_out+=" %s=msk_%s*%s+(1.-msk_%s)*%s\n"%(name,name,a,name,a1) |
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else: |
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t_out+=" %s=msk_%s*%s+(1.-msk_%s)*%s\n"%(name,name,a.tolist(),name,a1.tolist()) |
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elif case=="Symbol": |
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if isinstance(a,float): |
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t_out+=" %s=Symbol(shape=())\n"%(name) |
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elif len(a)==1: |
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t_out+=" %s=Symbol(shape=())\n"%(name) |
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else: |
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t_out+=" %s=Symbol(shape=%s)\n"%(name,str(a.shape)) |
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return t_out |
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#================== |
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case="inner" |
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for arg0 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
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for arg1 in ["float","array","Symbol","constData","taggedData","expandedData"]: |
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for sh0 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
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sh1=sh0 |
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if (len(sh0)==0 or not arg0=="float") and (len(sh1)==0 or not arg1=="float"): |
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tname="test_%s_%s_rank%s_%s_rank%s"%(case,arg0,len(sh0),arg1,len(sh1)) |
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t_prog+=" def %s(self):\n"%tname |
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a0=makeArray(sh0,[-1,1]) |
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a0_1=makeArray(sh0,[-1,1]) |
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a1=makeArray(sh1,[-1,1]) |
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a1_1=makeArray(sh1,[-1,1]) |
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t_prog+=mkText(arg0,"arg0",a0,a0_1) |
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t_prog+=mkText(arg1,"arg1",a1,a1_1) |
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t_prog+=" res=%s(arg0,arg1)\n"%case |
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print t_prog |
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1/0 |
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#================== |
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cases=["Scalar","Vector","Tensor", "Tensor3","Tensor4"] |
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for case in range(len(cases)): |
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for d in [ None , "d", 1, 2 , 3]: |
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if not d==None or cases[case]=="Scalar": |
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t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
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tname="test_Symbol_%s_d%s"%(cases[case],d) |
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t_prog+=" def %s(self):\n"%tname |
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if d=="d": |
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t_prog+=" s=%sSymbol(dim=self.functionspace)\n"%(cases[case]) |
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t_prog+=" d=self.functionspace.getDim()\n" |
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sh="(" |
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for i in range(case): |
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if i==0: |
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sh+=d |
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else: |
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sh+=","+d |
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sh+=")" |
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else: |
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t_prog+=" s=%sSymbol(dim=%s)\n"%(cases[case],d) |
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sh=() |
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for i in range(case): sh=sh+(d,) |
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t_prog+=" self.failUnlessEqual(s.getRank(),%s,\"wrong rank.\")\n"%case |
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t_prog+=" self.failUnlessEqual(s.getShape(),%s,\"wrong shape.\")\n"%str(sh) |
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t_prog+=" self.failUnlessEqual(s.getDim(),%s,\"wrong spatial dimension.\")\n"%d |
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t_prog+=" self.failUnlessEqual(s.getArgument(),[],\"wrong arguments.\")\n" |
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print t_prog |
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1/0 |
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for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
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for d in [ None , "domain", 1, 2 , 3]: |
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for args in [ [], ["s2"], [1,-1.] ]: |
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t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
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tname="def test_Symbol_rank%s_d%s_nargs%s"%(len(sh),d,len(args)) |
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t_prog+=" %s(self):\n"%tname |
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t_prog+=" s2=ScalarSymbol()\n" |
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if args==["s2"]: |
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a="[s2]" |
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else: |
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a=str(args) |
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if d=="domain": |
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t_prog+=" s=Symbol(shape=%s,dim=self.functionspace.getDim(),args=%s)\n"%(str(sh),a) |
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d2="self.functionspace.getDim()" |
| 238 |
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else: |
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t_prog+=" s=Symbol(shape=%s,dim=%s,args=%s)\n"%(sh,d,a) |
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d2=str(d) |
| 241 |
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| 242 |
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t_prog+=" self.failUnlessEqual(s.getRank(),%s,\"wrong rank.\")\n"%len(sh) |
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t_prog+=" self.failUnlessEqual(s.getShape(),%s,\"wrong shape.\")\n"%str(sh) |
| 244 |
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t_prog+=" self.failUnlessEqual(s.getDim(),%s,\"wrong spatial dimension.\")\n"%d2 |
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t_prog+=" self.failUnlessEqual(s.getArgument(),%s,\"wrong arguments.\")\n\n"%a |
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t_prog+=" ss=s.substitute({s:numarray.zeros(%s)})\n"%str(sh) |
| 247 |
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t_prog+=" self.failUnless(isinstance(ss,numarray.NumArray),\"value after substitution is not numarray.\")\n" |
| 248 |
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t_prog+=" self.failUnlessEqual(ss.shape,%s,\"value after substitution has not expected shape\")\n"%str(sh) |
| 249 |
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| 250 |
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t_prog+=" try:\n s.substitute({s:numarray.zeros((5,))})\n fail(\"illegal substition was successful\")\n" |
| 251 |
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t_prog+=" except TypeError:\n pass\n\n" |
| 252 |
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| 253 |
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### |
| 254 |
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for sh2 in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 255 |
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if len(sh+sh2)<5: |
| 256 |
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t_prog+=" dsdarg=s.diff(Symbol(shape=%s))\n"%str(sh2) |
| 257 |
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if len(sh+sh2)==0: |
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t_prog+=" self.failUnless(isinstance(dsdarg,float),\"ds/ds() has wrong type.\")\n" |
| 259 |
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else: |
| 260 |
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t_prog+=" self.failUnless(isinstance(dsdarg,numarray.NumArray),\"ds/ds%s has wrong type.\")\n"%str(sh2) |
| 261 |
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| 262 |
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t_prog+=" self.failUnlessEqual(dsdarg.shape,%s,\"ds/ds%s has wrong shape.\")\n"%(str(sh+sh2),str(sh2)) |
| 263 |
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t_prog+=" self.failIf(Lsup(dsdarg)>0.,\"ds/ds%s has wrong value.\")\n"%str(sh2) |
| 264 |
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if len(sh)<3: |
| 265 |
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t_prog+="\n dsds=s.diff(s)\n" |
| 266 |
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if len(sh)==0: |
| 267 |
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t_prog+=" self.failUnless(isinstance(dsds,float),\"ds/ds has wrong type.\")\n" |
| 268 |
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t_prog+=" self.failUnlessEqual(dsds,1.,\"ds/ds has wrong value.\")\n" |
| 269 |
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else: |
| 270 |
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t_prog+=" self.failUnless(isinstance(dsds,numarray.NumArray),\"ds/ds has wrong type.\")\n" |
| 271 |
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t_prog+=" self.failUnlessEqual(dsds.shape,%s,\"ds/ds has wrong shape.\")\n"%str(sh+sh) |
| 272 |
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if len(sh)==1: |
| 273 |
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for i0 in range(sh[0]): |
| 274 |
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for i2 in range(sh[0]): |
| 275 |
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if i0==i2: |
| 276 |
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v=1. |
| 277 |
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else: |
| 278 |
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v=0. |
| 279 |
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t_prog+=" self.failUnlessEqual(dsds[%s,%s],%s,\"ds/ds has wrong value at (%s,%s).\")\n"%(i0,i2,v,i0,i2) |
| 280 |
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else: |
| 281 |
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for i0 in range(sh[0]): |
| 282 |
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for i1 in range(sh[1]): |
| 283 |
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for i2 in range(sh[0]): |
| 284 |
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for i3 in range(sh[1]): |
| 285 |
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if i0==i2 and i1==i3: |
| 286 |
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v=1. |
| 287 |
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else: |
| 288 |
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v=0. |
| 289 |
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t_prog+=" self.failUnlessEqual(dsds[%s,%s,%s,%s],%s,\"ds/ds has wrong value at (%s,%s,%s,%s).\")\n"%(i0,i1,i2,i3,v,i0,i1,i2,i3) |
| 290 |
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| 291 |
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### |
| 292 |
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t_prog+="\n" |
| 293 |
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for i in range(len(args)): |
| 294 |
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t_prog+=" self.failUnlessEqual(s.getArgument(%s),%s,\"wrong argument %s.\")\n"%(i,str(args[i]),i) |
| 295 |
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t_prog+=" sa=s.getSubstitutedArguments({s2:-10})\n" |
| 296 |
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t_prog+=" self.failUnlessEqual(len(sa),%s,\"wrong number of substituted arguments\")\n"%len(args) |
| 297 |
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if args==["s2"]: |
| 298 |
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t_prog+=" self.failUnlessEqual(sa[0],-10,\"wrongly substituted argument 0.\")\n" |
| 299 |
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else: |
| 300 |
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|
for i in range(len(args)): |
| 301 |
|
|
t_prog+=" self.failUnlessEqual(sa[%s],%s,\"wrongly substituted argument %s.\")\n"%(i,str(args[i]),i) |
| 302 |
|
|
|
| 303 |
|
|
t_prog+="\n" |
| 304 |
|
|
for arg in ["10.", "10", "SymbolMatch", "SymbolMisMatch", \ |
| 305 |
|
|
"DataMatch","DataMisMatch", "NumArrayMatch", "NumArrayMisMatch"]: |
| 306 |
|
|
if arg in ["10.", "10"]: |
| 307 |
|
|
a=str(arg) |
| 308 |
|
|
if len(sh)==0: |
| 309 |
|
|
t_prog+=" self.failUnless(s.isAppropriateValue(%s),\"%s is appropriate substitute\")\n"%(a,arg) |
| 310 |
|
|
else: |
| 311 |
|
|
t_prog+=" self.failIf(s.isAppropriateValue(%s),\" %s is not appropriate substitute\")\n"%(a,arg) |
| 312 |
|
|
elif arg in ["SymbolMatch", "SymbolMisMatch"]: |
| 313 |
|
|
if arg=="SymbolMatch": |
| 314 |
|
|
t_prog+=" self.failUnless(s.isAppropriateValue(Symbol(shape=%s,dim=%s)),\"Symbol is appropriate substitute\")\n"%(str(sh),d) |
| 315 |
|
|
else: |
| 316 |
|
|
if isinstance(d,int): |
| 317 |
|
|
t_prog+=" self.failIf(s.isAppropriateValue(Symbol(shape=%s,dim=%s)),\"Symbol is not appropriate substitute (dim)\")\n"%(str(sh),d+1) |
| 318 |
|
|
else: |
| 319 |
|
|
t_prog+=" self.failIf(s.isAppropriateValue(Symbol(shape=%s)),\"Symbol is not appropriate substitute (shape)\")\n"%((5,)) |
| 320 |
|
|
|
| 321 |
|
|
elif arg in ["DataMatch","DataMisMatch"]: |
| 322 |
|
|
if arg=="DataMatch" and d=="domain": |
| 323 |
|
|
t_prog+=" self.failUnless(s.isAppropriateValue(escript.Data(0.,%s,self.functionspace)),\"Data is appropriate substitute\")\n"%str(sh) |
| 324 |
|
|
elif arg=="DataMisMatch": |
| 325 |
|
|
t_prog+=" self.failIf(s.isAppropriateValue(escript.Data(0.,%s,self.functionspace)),\"Data is not appropriate substitute (shape)\")\n"%(str((5,))) |
| 326 |
|
|
else: |
| 327 |
|
|
if arg=="NumArrayMatch": |
| 328 |
|
|
t_prog+=" self.failUnless(s.isAppropriateValue(numarray.zeros(%s)),\"NumArray is appropriate substitute\")\n"%str(sh) |
| 329 |
|
|
else: |
| 330 |
|
|
t_prog+=" self.failIf(s.isAppropriateValue(numarray.zeros(%s)),\"NumArray is not appropriate substitute (shape)\")\n"%(str((5,))) |
| 331 |
|
|
print t_prog |
| 332 |
|
|
1/0 |
| 333 |
|
|
|
| 334 |
|
|
|
| 335 |
|
|
for case in ["Lsup", "sup", "inf"]: |
| 336 |
|
|
for args in ["float","array","constData","taggedData","expandedData"]: |
| 337 |
|
|
for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 338 |
|
|
if not args=="float" or len(sh)==0: |
| 339 |
|
|
t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 340 |
|
|
tname="def test_%s_%s_rank%s"%(case,args,len(sh)) |
| 341 |
|
|
t_prog+=" %s(self):\n"%tname |
| 342 |
|
|
if args in ["float","array" ]: |
| 343 |
|
|
a=makeArray(sh,[-1,1]) |
| 344 |
|
|
r=makeResult2(a,case) |
| 345 |
|
|
if len(sh)==0: |
| 346 |
|
|
t_prog+=" arg=%s\n"%a |
| 347 |
|
|
else: |
| 348 |
|
|
t_prog+=" arg=numarray.array(%s)\n"%a.tolist() |
| 349 |
|
|
t_prog+=" ref=%s\n"%r |
| 350 |
|
|
t_prog+=" res=%s(arg)\n"%case |
| 351 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 352 |
|
|
t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n" |
| 353 |
|
|
elif args== "constData": |
| 354 |
|
|
a=makeArray(sh,[-1,1]) |
| 355 |
|
|
r=makeResult2(a,case) |
| 356 |
|
|
if len(sh)==0: |
| 357 |
|
|
t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 358 |
|
|
else: |
| 359 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 360 |
|
|
t_prog+=" ref=%s\n"%r |
| 361 |
|
|
t_prog+=" res=%s(arg)\n"%case |
| 362 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 363 |
|
|
t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n" |
| 364 |
|
|
elif args in [ "taggedData","expandedData"]: |
| 365 |
|
|
a=makeArray(sh,[-1,1]) |
| 366 |
|
|
r=makeResult2(a,case) |
| 367 |
|
|
a1=makeArray(sh,[-1,1]) |
| 368 |
|
|
r1=makeResult2(a1,case) |
| 369 |
|
|
if case in ["Lsup","sup"]: |
| 370 |
|
|
r=max(r,r1) |
| 371 |
|
|
else: |
| 372 |
|
|
r=min(r,r1) |
| 373 |
|
|
if len(sh)==0: |
| 374 |
|
|
if args=="expandedData": |
| 375 |
|
|
t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a) |
| 376 |
|
|
else: |
| 377 |
|
|
t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 378 |
|
|
t_prog+=" arg.setTaggedValue(1,%s)\n"%a |
| 379 |
|
|
else: |
| 380 |
|
|
if args=="expandedData": |
| 381 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist()) |
| 382 |
|
|
else: |
| 383 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 384 |
|
|
t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist() |
| 385 |
|
|
t_prog+=" res=%s(arg)\n"%case |
| 386 |
|
|
t_prog+=" ref=%s\n"%r |
| 387 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 388 |
|
|
t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n" |
| 389 |
|
|
|
| 390 |
|
|
print t_prog |
| 391 |
|
|
|
| 392 |
|
|
1/0 |
| 393 |
|
|
|
| 394 |
|
|
|
| 395 |
|
|
for case in ["Lsup", "sup", "inf"]: |
| 396 |
|
|
for args in ["float","array","constData","taggedData","expandedData"]: |
| 397 |
|
|
for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 398 |
|
|
if not args=="float" or len(sh)==0: |
| 399 |
|
|
t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 400 |
|
|
tname="def test_%s_%s_rank%s"%(case,args,len(sh)) |
| 401 |
|
|
t_prog+=" %s(self):\n"%tname |
| 402 |
|
|
if args in ["float","array" ]: |
| 403 |
|
|
a=makeArray(sh,[-1,1]) |
| 404 |
|
|
r=makeResult2(a,case) |
| 405 |
|
|
if len(sh)==0: |
| 406 |
|
|
t_prog+=" arg=%s\n"%a |
| 407 |
|
|
else: |
| 408 |
|
|
t_prog+=" arg=numarray.array(%s)\n"%a.tolist() |
| 409 |
|
|
t_prog+=" ref=%s\n"%r |
| 410 |
|
|
t_prog+=" res=%s(arg)\n"%case |
| 411 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 412 |
|
|
t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n" |
| 413 |
|
|
elif args== "constData": |
| 414 |
|
|
a=makeArray(sh,[-1,1]) |
| 415 |
|
|
r=makeResult2(a,case) |
| 416 |
|
|
if len(sh)==0: |
| 417 |
|
|
t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 418 |
|
|
else: |
| 419 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 420 |
|
|
t_prog+=" ref=%s\n"%r |
| 421 |
|
|
t_prog+=" res=%s(arg)\n"%case |
| 422 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 423 |
|
|
t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n" |
| 424 |
|
|
elif args in [ "taggedData","expandedData"]: |
| 425 |
|
|
a=makeArray(sh,[-1,1]) |
| 426 |
|
|
r=makeResult2(a,case) |
| 427 |
|
|
a1=makeArray(sh,[-1,1]) |
| 428 |
|
|
r1=makeResult2(a1,case) |
| 429 |
|
|
if case in ["Lsup","sup"]: |
| 430 |
|
|
r=max(r,r1) |
| 431 |
|
|
else: |
| 432 |
|
|
r=min(r,r1) |
| 433 |
|
|
if len(sh)==0: |
| 434 |
|
|
if args=="expandedData": |
| 435 |
|
|
t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a) |
| 436 |
|
|
else: |
| 437 |
|
|
t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 438 |
|
|
t_prog+=" arg.setTaggedValue(1,%s)\n"%a |
| 439 |
|
|
else: |
| 440 |
|
|
if args=="expandedData": |
| 441 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist()) |
| 442 |
|
|
else: |
| 443 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 444 |
|
|
t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist() |
| 445 |
|
|
t_prog+=" res=%s(arg)\n"%case |
| 446 |
|
|
t_prog+=" ref=%s\n"%r |
| 447 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 448 |
|
|
t_prog+=" self.failUnless(abs(res-ref)<=self.tol*abs(ref),\"wrong result\")\n" |
| 449 |
|
|
|
| 450 |
|
|
print t_prog |
| 451 |
|
|
|
| 452 |
|
|
1/0 |
| 453 |
|
|
|
| 454 |
|
|
|
| 455 |
|
|
for f in func: |
| 456 |
|
|
u_prog+="def %s(arg):\n"%f[0] |
| 457 |
|
|
u_prog+=" \"\"\"\n" |
| 458 |
|
|
u_prog+=" returns %s of argument arg\n\n"%f[0] |
| 459 |
|
|
u_prog+=" @param arg: argument\n" |
| 460 |
|
|
u_prog+=" @type arg: C{float}, L{escript.Data}, L{Symbol}, L{numarray.NumArray}.\n" |
| 461 |
|
|
u_prog+=" @rtype:C{float}, L{escript.Data}, L{Symbol}, L{numarray.NumArray} depending on the type of arg.\n" |
| 462 |
|
|
u_prog+=" @raises TypeError: if the type of the argument is not expected.\n" |
| 463 |
|
|
u_prog+=" \"\"\"\n" |
| 464 |
|
|
u_prog+=" if isinstance(arg,numarray.NumArray):\n" |
| 465 |
|
|
u_prog+=" return numarray.%s(arg)\n"%f[0] |
| 466 |
|
|
u_prog+=" elif isinstance(arg,escript.Data):\n" |
| 467 |
|
|
u_prog+=" return arg._%s(arg)\n"%f[0] |
| 468 |
|
|
u_prog+=" elif isinstance(arg,float):\n" |
| 469 |
|
|
u_prog+=" return math.%s(arg)\n"%f[0] |
| 470 |
|
|
u_prog+=" elif isinstance(arg,int):\n" |
| 471 |
|
|
u_prog+=" return math.%s(float(arg))\n"%f[0] |
| 472 |
|
|
u_prog+=" elif isinstance(arg,Symbol):\n" |
| 473 |
|
|
u_prog+=" return Symbol_%s(arg)\n"%f[0] |
| 474 |
|
|
u_prog+=" else:\n" |
| 475 |
|
|
u_prog+=" raise TypeError,\"%s: Unknown argument type.\"\n"%f[0] |
| 476 |
|
|
u_prog+="class Symbol_%s(DependendSymbol):\n"%f[0] |
| 477 |
|
|
u_prog+=" \"\"\"\n" |
| 478 |
|
|
u_prog+=" Symbol of the result of the %s function\n"%f[0] |
| 479 |
|
|
u_prog+=" \"\"\"\n" |
| 480 |
|
|
u_prog+=" def __init__(self,arg):\n" |
| 481 |
|
|
u_prog+=" \"\"\"\n" |
| 482 |
|
|
u_prog+=" initialization %s function with argument arg\n"%f[0] |
| 483 |
|
|
u_prog+=" @param arg: argument of function\n" |
| 484 |
|
|
u_prog+=" @type arg: L{Symbol}.\n" |
| 485 |
|
|
u_prog+=" \"\"\"\n" |
| 486 |
|
|
u_prog+=" DependendSymbol.__init__(self,args=[arg],shape=arg.getShape(),dim=arg.getDim())\n" |
| 487 |
|
|
u_prog+=" def __str__(self):\n" |
| 488 |
|
|
u_prog+=" \"\"\"\n" |
| 489 |
|
|
u_prog+=" string representation of the object\n" |
| 490 |
|
|
u_prog+=" @rtype: C{str}\n" |
| 491 |
|
|
u_prog+=" \"\"\"\n" |
| 492 |
|
|
u_prog+=" return \"%s(%%s)\"%%str(self.getArgument(0))\n"%f[0] |
| 493 |
|
|
u_prog+=" def substitute(self,argvals):\n" |
| 494 |
|
|
u_prog+=" \"\"\"\n" |
| 495 |
|
|
u_prog+=" assigns new values to symbols in the definition of the symbol\n The method replaces the L{Symbol} u by argvals[u] in the expression defining this object.\n\n" |
| 496 |
|
|
u_prog+=" @param argvals: new values assigned to symbols\n" |
| 497 |
|
|
u_prog+=" @type argvals: C{dict} with keywords of type L{Symbol}.\n" |
| 498 |
|
|
u_prog+=" @return: result of the substitution process. Operations are executed as much as possible.\"" |
| 499 |
|
|
u_prog+=" @rtype: L{escript.Symbol}, C{float}, L{escript.Data}, L{numarray.NumArray} depending on the degree of substitution\n" |
| 500 |
|
|
u_prog+=" raise: TypeError: if a value for a L{Symbol} cannot be substituted.\n" |
| 501 |
|
|
u_prog+=" \"\"\"\n" |
| 502 |
|
|
u_prog+=" if argval.has_key(self): \n" |
| 503 |
|
|
u_prog+=" if self.isAppropriateValue(arg):\n" |
| 504 |
|
|
u_prog+=" return argval[self] \n" |
| 505 |
|
|
u_prog+=" else:\n" |
| 506 |
|
|
u_prog+=" raise TypeError,\"%s: new value is not appropriate.\"\n" |
| 507 |
|
|
u_prog+=" else:\n" |
| 508 |
|
|
u_prog+=" arg=self.getSubstitutedArguments(argvals)[0]\n" |
| 509 |
|
|
u_prog+=" return %s(arg)\n"%f[0] |
| 510 |
|
|
u_prog+=" def getMyCode(self,argstrs,format=\"escript\"):\n" |
| 511 |
|
|
u_prog+=" \"\"\"\n" |
| 512 |
|
|
u_prog+=" returns a program code that can be used to evaluate the symbol.\n" |
| 513 |
|
|
u_prog+="\n" |
| 514 |
|
|
u_prog+=" @param argstrs: gives for each argument a string representing of the argument for the evaluation.\n" |
| 515 |
|
|
u_prog+=" @type argstrs: C{list} of C{str}.\n" |
| 516 |
|
|
u_prog+=" @param format: specifies the format to be used. At the moment only \"escript\" is supported.\n" |
| 517 |
|
|
u_prog+=" @type format: C{str}\n" |
| 518 |
|
|
u_prog+=" @return: a piece of program code which can be used to evaluate the expression assuming the values for the arguments are available.\n" |
| 519 |
|
|
u_prog+=" @rtype: C{str}\n" |
| 520 |
|
|
u_prog+=" @raises NotImplementedError: if no implementation for the given format is available\n" |
| 521 |
|
|
u_prog+=" \"\"\"\n" |
| 522 |
|
|
u_prog+=" if format==\"escript\":\n" |
| 523 |
|
|
u_prog+=" return %s(%%s)%argstrs[0]\"\n"%f[0] |
| 524 |
|
|
u_prog+=" else:\n" |
| 525 |
|
|
u_prog+=" raise NotImplementedError,\"%s does not provide program code for format %%s.\"%format\n"%f[0] |
| 526 |
|
|
|
| 527 |
|
|
u_prog+=" def diff(self,arg):\n" |
| 528 |
|
|
u_prog+=" \"\"\"\n" |
| 529 |
|
|
u_prog+=" returns the derivative of the symbol with respect to a symbol\n" |
| 530 |
|
|
u_prog+=" @param arg: argument for derivation\n" |
| 531 |
|
|
u_prog+=" @type arg: L{Symbol}.\n" |
| 532 |
|
|
u_prog+=" @raises NotImplementedError: derivative not available.\n" |
| 533 |
|
|
u_prog+=" \"\"\"\n" |
| 534 |
|
|
u_prog+=" if arg==self: \n" |
| 535 |
|
|
u_prog+=" return identity(self.getShape())\n" |
| 536 |
|
|
u_prog+=" else:\n" |
| 537 |
|
|
u_prog+=" darg=self.getDifferentiatedArguments(arg)[0]\n" |
| 538 |
|
|
u_prog+=" raise NotImplementedError,\"%s: derivative is not available.\"\n"%f[0] |
| 539 |
|
|
u_prog+=" # dself=?\n" |
| 540 |
|
|
u_prog+=" return dself.matchShape(darg)*darg\n" |
| 541 |
|
|
|
| 542 |
|
|
|
| 543 |
|
|
for args in ["float","array","constData","taggedData","expandedData","Symbol"]: |
| 544 |
|
|
for sh in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 545 |
|
|
if not args=="float" or len(sh)==0: |
| 546 |
|
|
t_prog+=" #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n" |
| 547 |
|
|
tname="def test_%s_%s_rank%s"%(f[0],args,len(sh)) |
| 548 |
|
|
t_prog+=" %s(self):\n"%tname |
| 549 |
|
|
if args in ["float","array" ]: |
| 550 |
|
|
a=makeArray(sh,f[1]) |
| 551 |
|
|
r=makeResult(a,f) |
| 552 |
|
|
if len(sh)==0: |
| 553 |
|
|
t_prog+=" arg=%s\n"%a |
| 554 |
|
|
t_prog+=" ref=%s\n"%r |
| 555 |
|
|
else: |
| 556 |
|
|
t_prog+=" arg=numarray.array(%s)\n"%a.tolist() |
| 557 |
|
|
t_prog+=" ref=numarray.array(%s)\n"%r.tolist() |
| 558 |
|
|
t_prog+=" res=%s(arg)\n"%f[0] |
| 559 |
|
|
if args=="float": |
| 560 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 561 |
|
|
else: |
| 562 |
|
|
t_prog+=" self.failUnlessEqual(res.shape,%s,\"wrong shape of result.\")\n"%str(sh) |
| 563 |
|
|
t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 564 |
|
|
elif args== "constData": |
| 565 |
|
|
a=makeArray(sh,f[1]) |
| 566 |
|
|
r=makeResult(a,f) |
| 567 |
|
|
if len(sh)==0: |
| 568 |
|
|
t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 569 |
|
|
t_prog+=" ref=%s\n"%r |
| 570 |
|
|
else: |
| 571 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 572 |
|
|
t_prog+=" ref=numarray.array(%s)\n"%r.tolist() |
| 573 |
|
|
t_prog+=" res=%s(arg)\n"%f[0] |
| 574 |
|
|
t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 575 |
|
|
t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 576 |
|
|
elif args in [ "taggedData","expandedData"]: |
| 577 |
|
|
a=makeArray(sh,f[1]) |
| 578 |
|
|
r=makeResult(a,f) |
| 579 |
|
|
a1=makeArray(sh,f[1]) |
| 580 |
|
|
r1=makeResult(a1,f) |
| 581 |
|
|
if len(sh)==0: |
| 582 |
|
|
if args=="expandedData": |
| 583 |
|
|
t_prog+=" arg=Data(%s,self.functionspace,True)\n"%(a) |
| 584 |
|
|
t_prog+=" ref=Data(%s,self.functionspace,True)\n"%(r) |
| 585 |
|
|
else: |
| 586 |
|
|
t_prog+=" arg=Data(%s,self.functionspace)\n"%(a) |
| 587 |
|
|
t_prog+=" ref=Data(%s,self.functionspace)\n"%(r) |
| 588 |
|
|
t_prog+=" arg.setTaggedValue(1,%s)\n"%a |
| 589 |
|
|
t_prog+=" ref.setTaggedValue(1,%s)\n"%r1 |
| 590 |
|
|
else: |
| 591 |
|
|
if args=="expandedData": |
| 592 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace,True)\n"%(a.tolist()) |
| 593 |
|
|
t_prog+=" ref=Data(numarray.array(%s),self.functionspace,True)\n"%(r.tolist()) |
| 594 |
|
|
else: |
| 595 |
|
|
t_prog+=" arg=Data(numarray.array(%s),self.functionspace)\n"%(a.tolist()) |
| 596 |
|
|
t_prog+=" ref=Data(numarray.array(%s),self.functionspace)\n"%(r.tolist()) |
| 597 |
|
|
t_prog+=" arg.setTaggedValue(1,%s)\n"%a1.tolist() |
| 598 |
|
|
t_prog+=" ref.setTaggedValue(1,%s)\n"%r1.tolist() |
| 599 |
|
|
t_prog+=" res=%s(arg)\n"%f[0] |
| 600 |
|
|
t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of result.\")\n"%str(sh) |
| 601 |
|
|
t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 602 |
|
|
elif args=="Symbol": |
| 603 |
|
|
t_prog+=" arg=Symbol(shape=%s)\n"%str(sh) |
| 604 |
|
|
t_prog+=" v=%s(arg)\n"%f[0] |
| 605 |
|
|
t_prog+=" self.failUnlessRaises(ValueError,v.substitute,Symbol(shape=(1,1)),\"illegal shape of substitute not identified.\")\n" |
| 606 |
|
|
a=makeArray(sh,f[1]) |
| 607 |
|
|
r=makeResult(a,f) |
| 608 |
|
|
if len(sh)==0: |
| 609 |
|
|
t_prog+=" res=v.substitute({arg : %s})\n"%a |
| 610 |
|
|
t_prog+=" ref=%s\n"%r |
| 611 |
|
|
t_prog+=" self.failUnless(isinstance(res,float),\"wrong type of result.\")\n" |
| 612 |
|
|
else: |
| 613 |
|
|
t_prog+=" res=v.substitute({arg : numarray.array(%s)})\n"%a.tolist() |
| 614 |
|
|
t_prog+=" ref=numarray.array(%s)\n"%r.tolist() |
| 615 |
|
|
t_prog+=" self.failUnlessEqual(res.getShape(),%s,\"wrong shape of substitution result.\")\n"%str(sh) |
| 616 |
|
|
t_prog+=" self.failUnless(Lsup(res-ref)<=self.tol*Lsup(ref),\"wrong result\")\n" |
| 617 |
|
|
|
| 618 |
|
|
if len(sh)==0: |
| 619 |
|
|
t_prog+=" # test derivative with respect to itself:\n" |
| 620 |
|
|
t_prog+=" dvdv=v.diff(v)\n" |
| 621 |
|
|
t_prog+=" self.failUnlessEqual(dvdv,1.,\"derivative with respect to self is not 1.\")\n" |
| 622 |
|
|
elif len(sh)==1: |
| 623 |
|
|
t_prog+=" # test derivative with respect to itself:\n" |
| 624 |
|
|
t_prog+=" dvdv=v.diff(v)\n" |
| 625 |
|
|
t_prog+=" self.failUnlessEqual(dvdv.shape,%s,\"shape of derivative with respect is wrong\")\n"%str(sh+sh) |
| 626 |
|
|
for i0_l in range(sh[0]): |
| 627 |
|
|
for i0_r in range(sh[0]): |
| 628 |
|
|
if i0_l == i0_r: |
| 629 |
|
|
v=1. |
| 630 |
|
|
else: |
| 631 |
|
|
v=0. |
| 632 |
|
|
t_prog+=" self.failUnlessEqual(dvdv[%s,%s],%s,\"derivative with respect to self: [%s,%s] is not %s\")\n"%(i0_l,i0_r,v,i0_l,i0_r,v) |
| 633 |
|
|
elif len(sh)==2: |
| 634 |
|
|
t_prog+=" # test derivative with respect to itself:\n" |
| 635 |
|
|
t_prog+=" dvdv=v.diff(v)\n" |
| 636 |
|
|
t_prog+=" self.failUnlessEqual(dvdv.shape,%s,\"shape of derivative with respect is wrong\")\n"%str(sh+sh) |
| 637 |
|
|
for i0_l in range(sh[0]): |
| 638 |
|
|
for i0_r in range(sh[0]): |
| 639 |
|
|
for i1_l in range(sh[1]): |
| 640 |
|
|
for i1_r in range(sh[1]): |
| 641 |
|
|
if i0_l == i0_r and i1_l == i1_r: |
| 642 |
|
|
v=1. |
| 643 |
|
|
else: |
| 644 |
|
|
v=0. |
| 645 |
|
|
t_prog+=" self.failUnlessEqual(dvdv[%s,%s,%s,%s],%s,\"derivative with respect to self: [%s,%s,%s,%s] is not %s\")\n"%(i0_l,i1_l,i0_r,i1_r,v,i0_l,i1_l,i0_r,i1_r,v) |
| 646 |
|
|
|
| 647 |
|
|
for sh_in in [ (),(2,), (4,5), (6,2,2),(3,2,3,4)]: |
| 648 |
|
|
if len(sh_in)+len(sh)<=4: |
| 649 |
|
|
|
| 650 |
|
|
t_prog+=" # test derivative with shape %s as argument\n"%str(sh_in) |
| 651 |
|
|
trafo=makeArray(sh+sh_in,[0,1.]) |
| 652 |
|
|
a_in=makeArray(sh_in,f[1]) |
| 653 |
|
|
t_prog+=" arg_in=Symbol(shape=%s)\n"%str(sh_in) |
| 654 |
|
|
t_prog+=" arg2=Symbol(shape=%s)\n"%str(sh) |
| 655 |
|
|
|
| 656 |
|
|
if len(sh)==0: |
| 657 |
|
|
t_prog+=" arg2=" |
| 658 |
|
|
if len(sh_in)==0: |
| 659 |
|
|
t_prog+="%s*arg_in\n"%trafo |
| 660 |
|
|
elif len(sh_in)==1: |
| 661 |
|
|
for i0 in range(sh_in[0]): |
| 662 |
|
|
if i0>0: t_prog+="+" |
| 663 |
|
|
t_prog+="%s*arg_in[%s]"%(trafo[i0],i0) |
| 664 |
|
|
t_prog+="\n" |
| 665 |
|
|
elif len(sh_in)==2: |
| 666 |
|
|
for i0 in range(sh_in[0]): |
| 667 |
|
|
for i1 in range(sh_in[1]): |
| 668 |
|
|
if i0+i1>0: t_prog+="+" |
| 669 |
|
|
t_prog+="%s*arg_in[%s,%s]"%(trafo[i0,i1],i0,i1) |
| 670 |
|
|
|
| 671 |
|
|
elif len(sh_in)==3: |
| 672 |
|
|
for i0 in range(sh_in[0]): |
| 673 |
|
|
for i1 in range(sh_in[1]): |
| 674 |
|
|
for i2 in range(sh_in[2]): |
| 675 |
|
|
if i0+i1+i2>0: t_prog+="+" |
| 676 |
|
|
t_prog+="%s*arg_in[%s,%s,%s]"%(trafo[i0,i1,i2],i0,i1,i2) |
| 677 |
|
|
elif len(sh_in)==4: |
| 678 |
|
|
for i0 in range(sh_in[0]): |
| 679 |
|
|
for i1 in range(sh_in[1]): |
| 680 |
|
|
for i2 in range(sh_in[2]): |
| 681 |
|
|
for i3 in range(sh_in[3]): |
| 682 |
|
|
if i0+i1+i2+i3>0: t_prog+="+" |
| 683 |
|
|
t_prog+="%s*arg_in[%s,%s,%s,%s]"%(trafo[i0,i1,i2,i3],i0,i1,i2,i3) |
| 684 |
|
|
t_prog+="\n" |
| 685 |
|
|
elif len(sh)==1: |
| 686 |
|
|
for j0 in range(sh[0]): |
| 687 |
|
|
t_prog+=" arg2[%s]="%j0 |
| 688 |
|
|
if len(sh_in)==0: |
| 689 |
|
|
t_prog+="%s*arg_in"%trafo[j0] |
| 690 |
|
|
elif len(sh_in)==1: |
| 691 |
|
|
for i0 in range(sh_in[0]): |
| 692 |
|
|
if i0>0: t_prog+="+" |
| 693 |
|
|
t_prog+="%s*arg_in[%s]"%(trafo[j0,i0],i0) |
| 694 |
|
|
elif len(sh_in)==2: |
| 695 |
|
|
for i0 in range(sh_in[0]): |
| 696 |
|
|
for i1 in range(sh_in[1]): |
| 697 |
|
|
if i0+i1>0: t_prog+="+" |
| 698 |
|
|
t_prog+="%s*arg_in[%s,%s]"%(trafo[j0,i0,i1],i0,i1) |
| 699 |
|
|
elif len(sh_in)==3: |
| 700 |
|
|
for i0 in range(sh_in[0]): |
| 701 |
|
|
for i1 in range(sh_in[1]): |
| 702 |
|
|
for i2 in range(sh_in[2]): |
| 703 |
|
|
if i0+i1+i2>0: t_prog+="+" |
| 704 |
|
|
t_prog+="%s*arg_in[%s,%s,%s]"%(trafo[j0,i0,i1,i2],i0,i1,i2) |
| 705 |
|
|
t_prog+="\n" |
| 706 |
|
|
elif len(sh)==2: |
| 707 |
|
|
for j0 in range(sh[0]): |
| 708 |
|
|
for j1 in range(sh[1]): |
| 709 |
|
|
t_prog+=" arg2[%s,%s]="%(j0,j1) |
| 710 |
|
|
if len(sh_in)==0: |
| 711 |
|
|
t_prog+="%s*arg_in"%trafo[j0,j1] |
| 712 |
|
|
elif len(sh_in)==1: |
| 713 |
|
|
for i0 in range(sh_in[0]): |
| 714 |
|
|
if i0>0: t_prog+="+" |
| 715 |
|
|
t_prog+="%s*arg_in[%s]"%(trafo[j0,j1,i0],i0) |
| 716 |
|
|
elif len(sh_in)==2: |
| 717 |
|
|
for i0 in range(sh_in[0]): |
| 718 |
|
|
for i1 in range(sh_in[1]): |
| 719 |
|
|
if i0+i1>0: t_prog+="+" |
| 720 |
|
|
t_prog+="%s*arg_in[%s,%s]"%(trafo[j0,j1,i0,i1],i0,i1) |
| 721 |
|
|
t_prog+="\n" |
| 722 |
|
|
elif len(sh)==3: |
| 723 |
|
|
for j0 in range(sh[0]): |
| 724 |
|
|
for j1 in range(sh[1]): |
| 725 |
|
|
for j2 in range(sh[2]): |
| 726 |
|
|
t_prog+=" arg2[%s,%s,%s]="%(j0,j1,j2) |
| 727 |
|
|
if len(sh_in)==0: |
| 728 |
|
|
t_prog+="%s*arg_in"%trafo[j0,j1,j2] |
| 729 |
|
|
elif len(sh_in)==1: |
| 730 |
|
|
for i0 in range(sh_in[0]): |
| 731 |
|
|
if i0>0: t_prog+="+" |
| 732 |
|
|
t_prog+="%s*arg_in[%s]"%(trafo[j0,j1,j2,i0],i0) |
| 733 |
|
|
t_prog+="\n" |
| 734 |
|
|
elif len(sh)==4: |
| 735 |
|
|
for j0 in range(sh[0]): |
| 736 |
|
|
for j1 in range(sh[1]): |
| 737 |
|
|
for j2 in range(sh[2]): |
| 738 |
|
|
for j3 in range(sh[3]): |
| 739 |
|
|
t_prog+=" arg2[%s,%s,%s,%s]="%(j0,j1,j2,j3) |
| 740 |
|
|
if len(sh_in)==0: |
| 741 |
|
|
t_prog+="%s*arg_in"%trafo[j0,j1,j2,j3] |
| 742 |
|
|
t_prog+="\n" |
| 743 |
|
|
t_prog+=" dvdin=v.substitute({arg : arg2}).diff(arg_in)\n" |
| 744 |
|
|
if len(sh_in)==0: |
| 745 |
|
|
t_prog+=" res_in=dvdin.substitute({arg_in : %s})\n"%a_in |
| 746 |
|
|
else: |
| 747 |
|
|
t_prog+=" res_in=dvdin.substitute({arg : numarray.array(%s)})\n"%a_in.tolist() |
| 748 |
|
|
|
| 749 |
|
|
if len(sh)==0: |
| 750 |
|
|
if len(sh_in)==0: |
| 751 |
|
|
ref_diff=(makeResult(trafo*a_in+finc,f)-makeResult(trafo*a_in,f))/finc |
| 752 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin,%s,self.places,\"%s-derivative: wrong derivative\")\n"%(ref_diff,str(sh_in)) |
| 753 |
|
|
elif len(sh_in)==1: |
| 754 |
|
|
s=0 |
| 755 |
|
|
for k0 in range(sh_in[0]): |
| 756 |
|
|
s+=trafo[k0]*a_in[k0] |
| 757 |
|
|
for i0 in range(sh_in[0]): |
| 758 |
|
|
ref_diff=(makeResult(s+trafo[i0]*finc,f)-makeResult(s,f))/finc |
| 759 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,ref_diff,str(sh_in),str(i0)) |
| 760 |
|
|
elif len(sh_in)==2: |
| 761 |
|
|
s=0 |
| 762 |
|
|
for k0 in range(sh_in[0]): |
| 763 |
|
|
for k1 in range(sh_in[1]): |
| 764 |
|
|
s+=trafo[k0,k1]*a_in[k0,k1] |
| 765 |
|
|
for i0 in range(sh_in[0]): |
| 766 |
|
|
for i1 in range(sh_in[1]): |
| 767 |
|
|
ref_diff=(makeResult(s+trafo[i0,i1]*finc,f)-makeResult(s,f))/finc |
| 768 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,i1,ref_diff,str(sh_in),str((i0,i1))) |
| 769 |
|
|
|
| 770 |
|
|
elif len(sh_in)==3: |
| 771 |
|
|
s=0 |
| 772 |
|
|
for k0 in range(sh_in[0]): |
| 773 |
|
|
for k1 in range(sh_in[1]): |
| 774 |
|
|
for k2 in range(sh_in[2]): |
| 775 |
|
|
s+=trafo[k0,k1,k2]*a_in[k0,k1,k2] |
| 776 |
|
|
for i0 in range(sh_in[0]): |
| 777 |
|
|
for i1 in range(sh_in[1]): |
| 778 |
|
|
for i2 in range(sh_in[2]): |
| 779 |
|
|
ref_diff=(makeResult(s+trafo[i0,i1,i2]*finc,f)-makeResult(s,f))/finc |
| 780 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,i1,i2,ref_diff,str(sh_in),str((i0,i1,i2))) |
| 781 |
|
|
elif len(sh_in)==4: |
| 782 |
|
|
s=0 |
| 783 |
|
|
for k0 in range(sh_in[0]): |
| 784 |
|
|
for k1 in range(sh_in[1]): |
| 785 |
|
|
for k2 in range(sh_in[2]): |
| 786 |
|
|
for k3 in range(sh_in[3]): |
| 787 |
|
|
s+=trafo[k0,k1,k2,k3]*a_in[k0,k1,k2,k3] |
| 788 |
|
|
for i0 in range(sh_in[0]): |
| 789 |
|
|
for i1 in range(sh_in[1]): |
| 790 |
|
|
for i2 in range(sh_in[2]): |
| 791 |
|
|
for i3 in range(sh_in[3]): |
| 792 |
|
|
ref_diff=(makeResult(s+trafo[i0,i1,i2,i3]*finc,f)-makeResult(s,f))/finc |
| 793 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative with respect of %s\")\n"%(i0,i1,i2,i3,ref_diff,str(sh_in),str((i0,i1,i2,i3))) |
| 794 |
|
|
elif len(sh)==1: |
| 795 |
|
|
for j0 in range(sh[0]): |
| 796 |
|
|
if len(sh_in)==0: |
| 797 |
|
|
ref_diff=(makeResult(trafo[j0]*a_in+finc,f)-makeResult(trafo[j0]*a_in,f))/finc |
| 798 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,ref_diff,str(sh_in),j0) |
| 799 |
|
|
elif len(sh_in)==1: |
| 800 |
|
|
s=0 |
| 801 |
|
|
for k0 in range(sh_in[0]): |
| 802 |
|
|
s+=trafo[j0,k0]*a_in[k0] |
| 803 |
|
|
for i0 in range(sh_in[0]): |
| 804 |
|
|
ref_diff=(makeResult(s+trafo[j0,i0]*finc,f)-makeResult(s,f))/finc |
| 805 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,i0,ref_diff,str(sh_in),str(j0),str(i0)) |
| 806 |
|
|
elif len(sh_in)==2: |
| 807 |
|
|
s=0 |
| 808 |
|
|
for k0 in range(sh_in[0]): |
| 809 |
|
|
for k1 in range(sh_in[1]): |
| 810 |
|
|
s+=trafo[j0,k0,k1]*a_in[k0,k1] |
| 811 |
|
|
for i0 in range(sh_in[0]): |
| 812 |
|
|
for i1 in range(sh_in[1]): |
| 813 |
|
|
ref_diff=(makeResult(s+trafo[j0,i0,i1]*finc,f)-makeResult(s,f))/finc |
| 814 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,i0,i1,ref_diff,str(sh_in),str(j0),str((i0,i1))) |
| 815 |
|
|
|
| 816 |
|
|
elif len(sh_in)==3: |
| 817 |
|
|
|
| 818 |
|
|
s=0 |
| 819 |
|
|
for k0 in range(sh_in[0]): |
| 820 |
|
|
for k1 in range(sh_in[1]): |
| 821 |
|
|
for k2 in range(sh_in[2]): |
| 822 |
|
|
s+=trafo[j0,k0,k1,k2]*a_in[k0,k1,k2] |
| 823 |
|
|
|
| 824 |
|
|
for i0 in range(sh_in[0]): |
| 825 |
|
|
for i1 in range(sh_in[1]): |
| 826 |
|
|
for i2 in range(sh_in[2]): |
| 827 |
|
|
ref_diff=(makeResult(s+trafo[j0,i0,i1,i2]*finc,f)-makeResult(s,f))/finc |
| 828 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,i0,i1,i2,ref_diff,str(sh_in),str(j0),str((i0,i1,i2))) |
| 829 |
|
|
elif len(sh)==2: |
| 830 |
|
|
for j0 in range(sh[0]): |
| 831 |
|
|
for j1 in range(sh[1]): |
| 832 |
|
|
if len(sh_in)==0: |
| 833 |
|
|
ref_diff=(makeResult(trafo[j0,j1]*a_in+finc,f)-makeResult(trafo[j0,j1]*a_in,f))/finc |
| 834 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,j1,ref_diff,str(sh_in),str((j0,j1))) |
| 835 |
|
|
elif len(sh_in)==1: |
| 836 |
|
|
s=0 |
| 837 |
|
|
for k0 in range(sh_in[0]): |
| 838 |
|
|
s+=trafo[j0,j1,k0]*a_in[k0] |
| 839 |
|
|
for i0 in range(sh_in[0]): |
| 840 |
|
|
ref_diff=(makeResult(s+trafo[j0,j1,i0]*finc,f)-makeResult(s,f))/finc |
| 841 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,j1,i0,ref_diff,str(sh_in),str((j0,j1)),str(i0)) |
| 842 |
|
|
|
| 843 |
|
|
elif len(sh_in)==2: |
| 844 |
|
|
s=0 |
| 845 |
|
|
for k0 in range(sh_in[0]): |
| 846 |
|
|
for k1 in range(sh_in[1]): |
| 847 |
|
|
s+=trafo[j0,j1,k0,k1]*a_in[k0,k1] |
| 848 |
|
|
for i0 in range(sh_in[0]): |
| 849 |
|
|
for i1 in range(sh_in[1]): |
| 850 |
|
|
ref_diff=(makeResult(s+trafo[j0,j1,i0,i1]*finc,f)-makeResult(s,f))/finc |
| 851 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,j1,i0,i1,ref_diff,str(sh_in),str((j0,j1)),str((i0,i1))) |
| 852 |
|
|
elif len(sh)==3: |
| 853 |
|
|
for j0 in range(sh[0]): |
| 854 |
|
|
for j1 in range(sh[1]): |
| 855 |
|
|
for j2 in range(sh[2]): |
| 856 |
|
|
if len(sh_in)==0: |
| 857 |
|
|
ref_diff=(makeResult(trafo[j0,j1,j2]*a_in+finc,f)-makeResult(trafo[j0,j1,j2]*a_in,f))/finc |
| 858 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,j1,j2,ref_diff,str(sh_in),str((j0,j1,j2))) |
| 859 |
|
|
elif len(sh_in)==1: |
| 860 |
|
|
s=0 |
| 861 |
|
|
for k0 in range(sh_in[0]): |
| 862 |
|
|
s+=trafo[j0,j1,j2,k0]*a_in[k0] |
| 863 |
|
|
for i0 in range(sh_in[0]): |
| 864 |
|
|
ref_diff=(makeResult(s+trafo[j0,j1,j2,i0]*finc,f)-makeResult(s,f))/finc |
| 865 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s with respect of %s\")\n"%(j0,j1,j2,i0,ref_diff,str(sh_in),str((j0,j1,j2)),i0) |
| 866 |
|
|
elif len(sh)==4: |
| 867 |
|
|
for j0 in range(sh[0]): |
| 868 |
|
|
for j1 in range(sh[1]): |
| 869 |
|
|
for j2 in range(sh[2]): |
| 870 |
|
|
for j3 in range(sh[3]): |
| 871 |
|
|
if len(sh_in)==0: |
| 872 |
|
|
ref_diff=(makeResult(trafo[j0,j1,j2,j3]*a_in+finc,f)-makeResult(trafo[j0,j1,j2,j3]*a_in,f))/finc |
| 873 |
|
|
t_prog+=" self.failUnlessAlmostEqual(dvdin[%s,%s,%s,%s],%s,self.places,\"%s-derivative: wrong derivative of %s\")\n"%(j0,j1,j2,j3,ref_diff,str(sh_in),str((j0,j1,j2,j3))) |
| 874 |
|
|
|
| 875 |
|
|
# print u_prog |
| 876 |
|
|
print t_prog |
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