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# This python script is called from roots.py to work around a crash in scipy |
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# when called from an embedded python interpreter. |
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|
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import sys |
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from scipy import io |
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from scipy import linalg |
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|
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if len(sys.argv)<6: |
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print "missing arguments" |
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sys.exit(2) |
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|
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fff = { |
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'dg/dz' : sys.argv[1] |
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,'dg/dx' : sys.argv[2] |
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,'df/dz' : sys.argv[3] |
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,'df/dx' : sys.argv[4] |
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,"df/dx'": sys.argv[5] |
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} |
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|
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print "COMPUTING..." |
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|
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gz = io.mmread(fff['dg/dz']) |
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gx = io.mmread(fff['dg/dz']) |
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fz = io.mmread(fff['df/dz']) |
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fx = io.mmread(fff['df/dx']) |
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fxp =io.mmread(fff["df/dx'"]) |
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|
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print "gz", gz.shape |
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print "gx", gx.shape |
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print "fz", fz.shape |
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print "fx", fx.shape |
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print "fxp", fxp.shape |
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|
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if fxp.shape[0]==0: |
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print "fxp is empty (0 rows)" |
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sys.exit(1) |
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|
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if gz.shape[0]==0: |
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if gx.shape[0]==0: |
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sys.stderr.write("pure differential system\n") |
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if fz.shape[1]!=0: |
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print "pure differential system but with fz nonzero" |
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sys.exit(2) |
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|
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invfxp = linalg.inv(fxp.todense()) |
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D = - invfxp * fx |
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else: |
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print "gz is empty but gx is not!" |
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sys.exit(1) |
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|
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else: |
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#import pylab |
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|
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# dg/dy_a |
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|
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#pylab.spy2(ga.todense()) |
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#pylab.title("${dg}/{dy_a}$") |
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#pylab.show() |
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|
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invgz = linalg.inv(gz.todense()) |
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|
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#pylab.figure() |
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#pylab.spy(invgz) |
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#pylab.title("$({dg}/{dy_d})^{-1}$") |
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#pylab.show() |
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|
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# dg/dy_d |
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|
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#pylab.figure() |
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#pylab.spy2(gd.todense()) |
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#pylab.title("${dg}/{dy_d}$") |
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#pylab.show() |
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|
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# df/dyd' |
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|
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#pylab.figure() |
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#pylab.spy2(fdp.todense()) |
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#pylab.title("${df}/{d\dot{y}_d}$") |
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#pylab.show() |
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|
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invfxp = linalg.inv(fxp.todense()) |
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|
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#pylab.spy2(invfdp) |
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#pylab.title("$({df}/{dy_dp})^{-1}$") |
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#pylab.show() |
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|
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dya_dyd = invgz * gx |
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|
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print "gz^-1 gx",dya_dyd.shape |
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|
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#pylab.spy2(dya_dyd.todense()) |
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#pylab.title("${dy_a}/{dy_d}$") |
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#pylab.show() |
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|
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B = fz * invgz * gx |
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|
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print "fz gz^1 gz",B.shape |
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#pylab.spy2(fad.todense()) |
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#pylab.title("${df}/{dy_a} * {dy_a}/{dy_d}$") |
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#pylab.show() |
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|
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C = fx + B |
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|
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D = - invfxp * C |
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|
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e,v = linalg.eig(D.todense()) |
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|
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#print e |
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|
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print "max re(e)",max(e.real) |
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print "min re(e)",min(e.real) |
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print "max im(e)",max(e.imag) |
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print "min im(e)",min(e.imag) |
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|
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import pylab, sys |
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sys.stderr.write("about to plot...") |
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pylab.plot(e.real,e.imag,'rx') |
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pylab.title("Roots of dx'/dx for DAE system") |
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pylab.xlabel("Real") |
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pylab.ylabel("Imaginary") |
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pylab.show() |
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sys.stderr.write("DONE\n") |
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|
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sys.exit(0) |
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