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from scipy import signal
from scipy import sqrt, linspace, exp, pi, polymul, sinh, cosh, arange, ones, size, array
from idmlin import IDMLin
def linfty(re, n=25, tmax=100, dt=0.1, timeplot=False):
def go(t, a, b, s, v, fmt=None):
idm = IDMLin(t=t, a=a, b=b, s0=s)
idm.go(v, re)
sys = idm.sys()
T = linspace(0, tmax, num=tmax/dt)
U = ones(size(T))
A = [0]*n
Us = ones((len(T), n))
for i in range(n):
_, U, _ = signal.lsim(sys, U, T)
A[i] = max(U)
Us[:,i] = U
if timeplot:
if fmt is None:
return T, array(Us)
else:
return T, array(Us), fmt
else:
if fmt is None:
return arange(n)+1, A
else:
return arange(n)+1, A, fmt
return go
def idmgo(t, a, b, s, v, fmt=None):
idm = IDMLin(t=t, a=a, b=b, s0=s)
res = arange(100)/100.
idm.go(v, res)
if fmt is None:
return res, idm.os()
else:
return res, idm.os(), fmt
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def sweep(fn, rngs):
defaults = [x["default"] for x in rngs]
for i, r in enumerate(rngs):
if "values" in r and r["values"] is not None:
plt.plot(*fn(*defaults, fmt='k'))
print r["name"], defaults[i], r["values"]
args = list(defaults)
for dot, arg in zip(r["dots"], r["values"]):
args[i] = arg
plt.plot(*fn(*args, fmt=r["color"]+dot))
# plt.axis([0,1,-.2,.2])
plt.show()
avals = arange(20)/20. + 0.2
dots = ["-"] * len(avals)
arng = {"name": "a", "color": "", "dots": dots, "default": 1.0, "values": avals }
trng = {"name": "T", "default": 1.5}
brng = {"name": "b", "default": 3.0}
srng = {"name": "s_0", "default": 2.0}
vrng = {"name": "v_0", "default": 30.}
rngs = [trng, arng, brng, srng, vrng]
sweep(idmgo, rngs)
dots = (':', '--', '-', '.-')
trng = {"name": "T", "color": "r", "dots": dots, "default": 1.5, "values": (0.5, 1, 2, 2.5) }
arng = {"name": "a", "color": "g", "dots": dots, "default": 1.0, "values": (0.3, 0.5, 0.8, 1.5) }
brng = {"name": "b", "color": "b", "dots": dots, "default": 3.0, "values": (1, 2, 4, 5) }
srng = {"name": "s_0", "color": "m", "dots": dots, "default": 2.0, "values": (0.5, 1, 2.5, 3) }
vrng = {"name": "v_0", "color": "c", "dots": dots, "default": 30., "values": (10, 20, 40, 50) }
rngs = [trng, arng, brng, srng, vrng]
sweep(idmgo, rngs)
'''
go = linfty(0.1, n=20, tmax=200)
sweep(go, rngs)
'''