Datasets:

h4iku
/

coconut_python2010_preprocessed

Dataset card Viewer Files Files and versions Community

Split (1)

train · 303k rows

rem stringlengths 0 322k	add stringlengths 0 2.05M	context stringlengths 8 228k
class test_trapz(unittest.TestCase): def check_basic(self): x = [1,4,6,7,12] y = [11,15,6,3,9] val = (11+15)/2.03 + (15+6)/2.02 + (6+3)/2.0 + (3+9)/2.05.0 assert_equal(trapz(y,x),val) def check_nd(self): x = sort(20rand(10,20,30)) y = x*2 + 2x + 1 dx = x[:,1:,:] - x[:,:-1,:] val = add.reduce(dx*(y[:,1:,:] + y[:,:-1,:])/2.0,1) assert_array_equal(trapz(y,x,axis=1),val)		def check_basic(self): ba = [1,2,10,11,6,5,4] ba2 = [[1,2,3,4],[5,6,7,9],[10,3,4,5]] for ctype in ['1','b','s','i','l','f','d','F','D']: a = array(ba,ctype) a2 = array(ba2,ctype) if ctype in ['1', 'b']: self.failUnlessRaises(ArithmeticError, cumprod, a) self.failUnlessRaises(ArithmeticError, cumprod, a2, 1) self.failUnlessRaises(ArithmeticError, cumprod, a) else: assert_array_equal(cumprod(a), array([1, 2, 20, 220, 1320, 6600, 26400],ctype)) assert_array_equal(cumprod(a2), array([[ 1, 2, 3, 4], [ 5, 12, 21, 36], [50, 36, 84, 180]],ctype)) assert_array_equal(cumprod(a2,axis=1), array([[ 1, 2, 6, 24], [ 5, 30, 210, 1890], [10, 30, 120, 600]],ctype))
return threeAddrProgram, signature, tempsig, constants	return threeAddrProgram, signature, tempsig, constants, input_names	def registerMaker(node, temporary=False): reg = Register(node, temporary=temporary) reg.n = reg_num[0] reg_num[0] -= 1 return reg
threeAddrProgram, inputsig, tempsig, constants = \	threeAddrProgram, inputsig, tempsig, constants, input_names = \	def numexpr(ex, signature=(), copy_args=(), *kwargs): """Compile an expression built using E.<variable> variables to a function. ex can also be specified as a string "2a+3b". The order of the input variables and their types can be specified using the signature parameter, which is a list of (name, type) pairs. """ threeAddrProgram, inputsig, tempsig, constants = \ precompile(ex, signature, copy_args, *kwargs) program = compileThreeAddrForm(threeAddrProgram) return interpreter.NumExpr(inputsig, tempsig, program, constants)
return interpreter.NumExpr(inputsig, tempsig, program, constants)	return interpreter.NumExpr(inputsig, tempsig, program, constants, input_names)	def numexpr(ex, signature=(), copy_args=(), *kwargs): """Compile an expression built using E.<variable> variables to a function. ex can also be specified as a string "2a+3b". The order of the input variables and their types can be specified using the signature parameter, which is a list of (name, type) pairs. """ threeAddrProgram, inputsig, tempsig, constants = \ precompile(ex, signature, copy_args, *kwargs) program = compileThreeAddrForm(threeAddrProgram) return interpreter.NumExpr(inputsig, tempsig, program, constants)
r_constants = 1 + nex.n_inputs	r_constants = 1 + len(nex.signature)	def disassemble(nex): rev_opcodes = {} for op in interpreter.opcodes: rev_opcodes[interpreter.opcodes[op]] = op r_constants = 1 + nex.n_inputs r_temps = r_constants + len(nex.constants) def getArg(pc): arg = ord(nex.program[pc]) if arg == 0: return 'r0' elif arg == 255: return None elif arg < r_constants: return 'r%d[%s]' % (arg, nex.input_names[arg-1]) elif arg < r_temps: return 'c%d[%s]' % (arg, nex.constants[arg - r_constants]) else: return 't%d' % (arg,) source = [] for pc in range(0, len(nex.program), 4): op = rev_opcodes.get(ord(nex.program[pc])) dest = getArg(pc+1) arg1 = getArg(pc+2) arg2 = getArg(pc+3) source.append( (op, dest, arg1, arg2) ) return source
b = time.clock()	b = timer()	def initialize(self,reseed = 1): b = time.clock() self.test_settings(self.settings) self.gen = 0 sd = self.settings['rand_seed']; alg = self.settings['rand_alg'] if reseed: rv.initialize(seed = sd, algorithm = alg) self.settings['seed_used'] = rv.initial_seed() self._print('initializing... seed = %d' % self.settings['seed_used']) self.crossover = self.pop.model_genome.crossover # get the crossover op from the first genome self.pop.settings = self.settings #should these be shared? self.size_pop(self.settings['pop_size']) self.settings['crossover'] = string.split(str(self.crossover))[0][1:] self.settings['selector'] = string.split(str(self.pop.selector))[0][1:] self.settings['scaler'] = string.split(str(self.pop.scaler))[0][1:] self.settings['genome_type'] = string.split(str(self.pop.model_genome))[0][1:]
self.step_time = time.clock() - b	self.step_time = timer() - b	def initialize(self,reseed = 1): b = time.clock() self.test_settings(self.settings) self.gen = 0 sd = self.settings['rand_seed']; alg = self.settings['rand_alg'] if reseed: rv.initialize(seed = sd, algorithm = alg) self.settings['seed_used'] = rv.initial_seed() self._print('initializing... seed = %d' % self.settings['seed_used']) self.crossover = self.pop.model_genome.crossover # get the crossover op from the first genome self.pop.settings = self.settings #should these be shared? self.size_pop(self.settings['pop_size']) self.settings['crossover'] = string.split(str(self.crossover))[0][1:] self.settings['selector'] = string.split(str(self.pop.selector))[0][1:] self.settings['scaler'] = string.split(str(self.pop.scaler))[0][1:] self.settings['genome_type'] = string.split(str(self.pop.model_genome))[0][1:]
b = time.clock()	b = timer()	def step(self,steps=1): sz = len(self.pop) replace = int(self.settings['p_replace'] * len(self.pop)) p_crossover = self.settings['p_cross'] for st in range(steps): b = time.clock() for i in range(0,replace,2): mom,dad= self.pop.select(2) self.stats['selections'] = self.stats['selections'] + 2 if flip_coin(p_crossover): try: bro,sis = self.crossover((mom,dad)) self.stats['crossovers'] = self.stats['crossovers'] + 2 self.pop.append(bro); self.pop.append(sis) except ValueError: #crossover failed - just act as if this iteration never happened i = i - 2 #print 'crossover failure - ignoring and continuing' else: self.pop.append(mom.clone());self.pop.append(dad.clone()); if replace % 2: #we did one to many - remove the last individual del self.pop[-1] self.stats['crossovers'] = self.stats['crossovers'] - 1 e1 = time.clock(); self.stats['mutations'] = self.stats['mutations'] + self.pop[sz:].mutate()
e1 = time.clock();	e1 = timer();	def step(self,steps=1): sz = len(self.pop) replace = int(self.settings['p_replace'] * len(self.pop)) p_crossover = self.settings['p_cross'] for st in range(steps): b = time.clock() for i in range(0,replace,2): mom,dad= self.pop.select(2) self.stats['selections'] = self.stats['selections'] + 2 if flip_coin(p_crossover): try: bro,sis = self.crossover((mom,dad)) self.stats['crossovers'] = self.stats['crossovers'] + 2 self.pop.append(bro); self.pop.append(sis) except ValueError: #crossover failed - just act as if this iteration never happened i = i - 2 #print 'crossover failure - ignoring and continuing' else: self.pop.append(mom.clone());self.pop.append(dad.clone()); if replace % 2: #we did one to many - remove the last individual del self.pop[-1] self.stats['crossovers'] = self.stats['crossovers'] - 1 e1 = time.clock(); self.stats['mutations'] = self.stats['mutations'] + self.pop[sz:].mutate()
e2 = time.clock();	e2 = timer();	def step(self,steps=1): sz = len(self.pop) replace = int(self.settings['p_replace'] * len(self.pop)) p_crossover = self.settings['p_cross'] for st in range(steps): b = time.clock() for i in range(0,replace,2): mom,dad= self.pop.select(2) self.stats['selections'] = self.stats['selections'] + 2 if flip_coin(p_crossover): try: bro,sis = self.crossover((mom,dad)) self.stats['crossovers'] = self.stats['crossovers'] + 2 self.pop.append(bro); self.pop.append(sis) except ValueError: #crossover failed - just act as if this iteration never happened i = i - 2 #print 'crossover failure - ignoring and continuing' else: self.pop.append(mom.clone());self.pop.append(dad.clone()); if replace % 2: #we did one to many - remove the last individual del self.pop[-1] self.stats['crossovers'] = self.stats['crossovers'] - 1 e1 = time.clock(); self.stats['mutations'] = self.stats['mutations'] + self.pop[sz:].mutate()
e3 = time.clock();	e3 = timer();	def step(self,steps=1): sz = len(self.pop) replace = int(self.settings['p_replace'] * len(self.pop)) p_crossover = self.settings['p_cross'] for st in range(steps): b = time.clock() for i in range(0,replace,2): mom,dad= self.pop.select(2) self.stats['selections'] = self.stats['selections'] + 2 if flip_coin(p_crossover): try: bro,sis = self.crossover((mom,dad)) self.stats['crossovers'] = self.stats['crossovers'] + 2 self.pop.append(bro); self.pop.append(sis) except ValueError: #crossover failed - just act as if this iteration never happened i = i - 2 #print 'crossover failure - ignoring and continuing' else: self.pop.append(mom.clone());self.pop.append(dad.clone()); if replace % 2: #we did one to many - remove the last individual del self.pop[-1] self.stats['crossovers'] = self.stats['crossovers'] - 1 e1 = time.clock(); self.stats['mutations'] = self.stats['mutations'] + self.pop[sz:].mutate()
e = time.clock(); self.step_time = e - b	e = timer(); self.step_time = e - b	def step(self,steps=1): sz = len(self.pop) replace = int(self.settings['p_replace'] * len(self.pop)) p_crossover = self.settings['p_cross'] for st in range(steps): b = time.clock() for i in range(0,replace,2): mom,dad= self.pop.select(2) self.stats['selections'] = self.stats['selections'] + 2 if flip_coin(p_crossover): try: bro,sis = self.crossover((mom,dad)) self.stats['crossovers'] = self.stats['crossovers'] + 2 self.pop.append(bro); self.pop.append(sis) except ValueError: #crossover failed - just act as if this iteration never happened i = i - 2 #print 'crossover failure - ignoring and continuing' else: self.pop.append(mom.clone());self.pop.append(dad.clone()); if replace % 2: #we did one to many - remove the last individual del self.pop[-1] self.stats['crossovers'] = self.stats['crossovers'] - 1 e1 = time.clock(); self.stats['mutations'] = self.stats['mutations'] + self.pop[sz:].mutate()
b = time.clock()	b = timer()	def evolve(self): b = time.clock() self.initialize() self.pre_evolve() self.p_dev = self.pop_deviation() self.iteration_output() while ( self.gen < self.settings['gens'] and self.settings['p_deviation'] < self.p_dev ): self.step() self.p_dev = self.pop_deviation() self.iteration_output() if(self.gen % self.settings['update_rate'] == 0): self.update_dbase() self.update_dbase() #enter status prior to post_evolve in dbase self.post_evolve() self.db_entry['run_time'] = time.clock() - b self.write_dbase()
self.db_entry['run_time'] = time.clock() - b	self.db_entry['run_time'] = timer() - b	def evolve(self): b = time.clock() self.initialize() self.pre_evolve() self.p_dev = self.pop_deviation() self.iteration_output() while ( self.gen < self.settings['gens'] and self.settings['p_deviation'] < self.p_dev ): self.step() self.p_dev = self.pop_deviation() self.iteration_output() if(self.gen % self.settings['update_rate'] == 0): self.update_dbase() self.update_dbase() #enter status prior to post_evolve in dbase self.post_evolve() self.db_entry['run_time'] = time.clock() - b self.write_dbase()
b = time.clock()	b = timer()	def initialize(self, mode = 'serial'): b = time.clock() #same as galg self.test_settings(self.settings) self.gen = 0 sd = self.settings['rand_seed']; alg = self.settings['rand_alg'] rv.initialize(seed = sd, algorithm = alg) self.settings['seed_used'] = rv.initial_seed() self._print('initializing... seed = %d' % self.settings['seed_used']) self.crossover = self.pop[0].crossover # get the crossover op from the first genome self.pop.settings = self.settings #end same as galg #set up my population to hold the best from each sub-pop self.pop._size(0) #erase any current member of the pop self.pop._size(self.settings['num_pops']) self.crossover = self.pop[0].crossover #extract the galg settings so we don't get a ton of warnings #and create the sub ga_s sub_ga_settings = {} self.GAs = [] for key in galg.valid_settings: sub_ga_settings[key] = self.settings[key] for i in range(self.settings['num_pops']): self.GAs.append(galg(self.pop.clone())) self.GAs[i].settings = sub_ga_settings.copy()
self.step_time = time.clock() - b	self.step_time = timer() - b	def initialize(self, mode = 'serial'): b = time.clock() #same as galg self.test_settings(self.settings) self.gen = 0 sd = self.settings['rand_seed']; alg = self.settings['rand_alg'] rv.initialize(seed = sd, algorithm = alg) self.settings['seed_used'] = rv.initial_seed() self._print('initializing... seed = %d' % self.settings['seed_used']) self.crossover = self.pop[0].crossover # get the crossover op from the first genome self.pop.settings = self.settings #end same as galg #set up my population to hold the best from each sub-pop self.pop._size(0) #erase any current member of the pop self.pop._size(self.settings['num_pops']) self.crossover = self.pop[0].crossover #extract the galg settings so we don't get a ton of warnings #and create the sub ga_s sub_ga_settings = {} self.GAs = [] for key in galg.valid_settings: sub_ga_settings[key] = self.settings[key] for i in range(self.settings['num_pops']): self.GAs.append(galg(self.pop.clone())) self.GAs[i].settings = sub_ga_settings.copy()
b = time.clock()	b = timer()	def step(self,steps=1,mode = 'serial'): for st in range(steps): b = time.clock() cnt = 0 #self.pop._size(0) # used if we keep a single pop if mode[0] == 'p' or mode[0] == 'P': """ sys.setcheckinterval(100) finished = sync.event() bar = sync.barrier(len(self.GAs)) for ga in self.GAs: thread.start_new_thread(GA_stepper,(bar,finished,ga)) finished.wait() sys.setcheckinterval(10) """ else: for ga in self.GAs: ga.step() for ga in self.GAs: #replace the worst member of the local pop self.pop[-1] = ga.pop.best() self.pop.sort() #probabaly not the fast approach to things, but... keeps an itelligent pop #for ind in ga.pop: self.pop.append(ind) self.migrate() self.gen = self.gen + 1 e = time.clock(); self.step_time = e - b self.update_stats() self.db_entry['best_scores'].append(self.stats['current']['max'])
e = time.clock(); self.step_time = e - b	e = timer(); self.step_time = e - b	def step(self,steps=1,mode = 'serial'): for st in range(steps): b = time.clock() cnt = 0 #self.pop._size(0) # used if we keep a single pop if mode[0] == 'p' or mode[0] == 'P': """ sys.setcheckinterval(100) finished = sync.event() bar = sync.barrier(len(self.GAs)) for ga in self.GAs: thread.start_new_thread(GA_stepper,(bar,finished,ga)) finished.wait() sys.setcheckinterval(10) """ else: for ga in self.GAs: ga.step() for ga in self.GAs: #replace the worst member of the local pop self.pop[-1] = ga.pop.best() self.pop.sort() #probabaly not the fast approach to things, but... keeps an itelligent pop #for ind in ga.pop: self.pop.append(ind) self.migrate() self.gen = self.gen + 1 e = time.clock(); self.step_time = e - b self.update_stats() self.db_entry['best_scores'].append(self.stats['current']['max'])
b = time.clock()	b = timer()	def evolve(self, mode = 'serial'): b = time.clock() self.initialize(mode) self.pre_evolve() self.p_dev = self.pop_deviation() self.iteration_output() while ( self.gen < self.settings['gens'] and self.settings['p_deviation'] < self.p_dev ): self.step(1,mode) self.p_dev = self.pop_deviation() self.iteration_output() self.update_dbase() #enter status prior to post_evolve in dbase self.post_evolve() self.db_entry['run_time'] = time.clock() - b self.write_dbase()
self.db_entry['run_time'] = time.clock() - b	self.db_entry['run_time'] = timer() - b	def evolve(self, mode = 'serial'): b = time.clock() self.initialize(mode) self.pre_evolve() self.p_dev = self.pop_deviation() self.iteration_output() while ( self.gen < self.settings['gens'] and self.settings['p_deviation'] < self.p_dev ): self.step(1,mode) self.p_dev = self.pop_deviation() self.iteration_output() self.update_dbase() #enter status prior to post_evolve in dbase self.post_evolve() self.db_entry['run_time'] = time.clock() - b self.write_dbase()
t1 = time.time()	t1 = timer()	def GA_stepper(bar,finished,GA): t1 = time.time() GA.step() t2 = time.time() print 'thread ' + `thread.get_ident()` + 'time ' + `t2-t1` + ' sec.' bar.enter() finished.post()
t2 = time.time()	t2 = timer()	def GA_stepper(bar,finished,GA): t1 = time.time() GA.step() t2 = time.time() print 'thread ' + `thread.get_ident()` + 'time ' + `t2-t1` + ' sec.' bar.enter() finished.post()
def __init__(self, format, maxprint=MAXPRINT, allocsize=ALLOCSIZE): self.format = format	def __init__(self, maxprint=MAXPRINT, allocsize=ALLOCSIZE): self.format = self.__class__.__name__[:3] if self.format == 'spm': raise ValueError, "This class is not intended" \ " to be instantiated directly."	def __init__(self, format, maxprint=MAXPRINT, allocsize=ALLOCSIZE): self.format = format self.maxprint = maxprint self.allocsize = allocsize
spmatrix.__init__(self, 'csc')	spmatrix.__init__(self)	def __init__(self,s,ij=None,M=None,N=None,nzmax=100,typecode=Float,copy=0): spmatrix.__init__(self, 'csc') if isinstance(s,spmatrix): if isinstance(s, csc_matrix): # do nothing but copy information self.shape = s.shape if copy: self.data = s.data.copy() self.rowind = s.rowind.copy() self.indptr = s.indptr.copy() else: self.data = s.data self.rowind = s.rowind self.indptr = s.indptr elif isinstance(s, csr_matrix): self.shape = s.shape func = getattr(sparsetools,s.ftype+'transp') self.data, self.rowind, self.indptr = \ func(s.shape[1], s.data, s.colind, s.indptr) else: temp = s.tocsc() self.data = temp.data self.rowind = temp.rowind self.indptr = temp.indptr self.shape = temp.shape elif isinstance(s,type(3)): M=s N=ij self.data = zeros((nzmax,),typecode) self.rowind = zeros((nzmax,),'i') self.indptr = zeros((N+1,),'i') self.shape = (M,N) elif (isinstance(s,ArrayType) or \ isinstance(s,type([]))): s = asarray(s) if s.typecode() not in 'fdFD': s = s*1.0 if (rank(s) == 2): # converting from a full array M, N = s.shape typecode = s.typecode() func = getattr(sparsetools,_transtabl[typecode]+'fulltocsc') ierr = irow = jcol = 0 nnz = sum(ravel(s != 0.0)) a = zeros((nnz,),typecode) rowa = zeros((nnz,),'i') ptra = zeros((N+1,),'i') while 1: a, rowa, ptra, irow, jcol, ierr = \ func(s, a, rowa, ptra, irow, jcol, ierr) if (ierr == 0): break nnz = nnz + ALLOCSIZE a = resize1d(a, nnz) rowa = resize1d(rowa, nnz)
spmatrix.__init__(self, 'csr')	spmatrix.__init__(self)	def __init__(self,s,ij=None,M=None,N=None,nzmax=100,typecode=Float,copy=0): spmatrix.__init__(self, 'csr') if isinstance(s,spmatrix): if isinstance(s, csr_matrix): # do nothing but copy information self.shape = s.shape if copy: self.data = s.data.copy() self.colind = s.colind.copy() self.indptr = s.indptr.copy() else: self.data = s.data self.colind = s.colind self.indptr = s.indptr elif isinstance(s, csc_matrix): self.shape = s.shape func = getattr(sparsetools,s.ftype+'transp') self.data, self.colind, self.indptr = \ func(s.shape[1], s.data, s.rowind, s.indptr) else: try: temp = s.tocsr() except AttributeError: temp = csr_matrix(s.tocsc()) self.data = temp.data self.rowind = temp.rowind self.indptr = temp.indptr self.shape = temp.shape elif isinstance(s,type(3)): M=s N=ij self.data = zeros((nzmax,),typecode) self.colind = zeros((nzmax,),'i') self.indptr = zeros((M+1,),'i') self.shape = (M,N) elif (isinstance(s,ArrayType) or \ isinstance(s,type([]))): s = asarray(s) if (rank(s) == 2): # converting from a full array ocsc = csc_matrix(transpose(s)) self.shape = ocsc.shape[1], ocsc.shape[0] self.colind = ocsc.rowind self.indptr = ocsc.indptr self.data = ocsc.data elif isinstance(ij, ArrayType) and (rank(ij) == 2) and (shape(ij) == (len(s),2)): ijnew = ij.copy() ijnew[:,0] = ij[:,1] ijnew[:,1] = ij[:,0] temp = coo_matrix(s,ijnew,M=M,N=N,nzmax=nzmax, typecode=typecode) temp = temp.tocsc() self.data = temp.data self.colind = temp.colind self.indptr = temp.indptr self.shape = temp.shape elif isinstance(ij, types.TupleType) and (len(ij)==2): self.data = asarray(s) self.colind = ij[0] self.indptr = ij[1] if N is None: try: N = amax(self.colind) + 1 except ValueError: N = 0 if M is None: M = len(self.indptr) - 1 if M == -1: M = 0 self.shape = (M,N) else: raise ValueError, "Unrecognized form for csr_matrix constructor." else: raise ValueError, "Unrecognized form for csr_matrix constructor."
spmatrix.__init__(self,'dok')	spmatrix.__init__(self)	def __init__(self,A=None): dict.__init__(self) spmatrix.__init__(self,'dok') self.shape = (0,0) self.nnz = 0 if A is not None: A = asarray(A) N,M = A.shape for n in range(N): for m in range(M): if A[n,m] != 0: self[n,m] = A[n,m]
spmatrix.__init__(self, 'coo')	spmatrix.__init__(self)	def __init__(self, obj, ij, M=None, N=None, nzmax=None, typecode=None): spmatrix.__init__(self, 'coo') if type(ij) is type(()) and len(ij)==2: if M is None: M = amax(ij[0]) if N is None: N = amax(ij[1]) self.row = asarray(ij[0],'i') self.col = asarray(ij[1],'i') else: aij = asarray(ij,'i') if M is None: M = amax(aij[:,0]) if N is None: N = amax(aij[:,1]) self.row = aij[:,0] self.col = aij[:,1] aobj = asarray(obj,typecode=typecode) self.shape = (M,N) if nzmax is None: nzmax = len(aobj) self.nzmax = nzmax self.data = aobj self.typecode = aobj.typecode() self._check()
Pk = mu*k exp(-mu) / arr(special.gamma(k+1)) return Pk	Pk = k*log(mu)-special.gammaln(k+1) - mu return exp(Pk)	def _pmf(self, k, mu): Pk = mu*k exp(-mu) / arr(special.gamma(k+1)) return Pk
ret_val = apply(obj, args, kw)	ret_val = apply(obj, d_args, d_kw)	def __call__(self, args, *kw): """Performs the call to the proxied callable object by dispatching the method to the secondary thread.""" obj = self.__dont_mess_with_me_unless_you_know_what_youre_doing ret_val = None if main.in_proxy_call: ret_val = apply(obj, args, kw) else: finished = threading.Event() evt = proxy_event(obj, args, kw, finished) wxPostEvent(self.catcher, evt) finished.wait() if finished.exception_info: raise finished.exception_info[0], \ finished.exception_info[1] ret_val = finished._result return smart_return(ret_val)
evt = proxy_event(obj, args, kw, finished)	evt = proxy_event(obj, d_args, d_kw, finished)	def __call__(self, args, *kw): """Performs the call to the proxied callable object by dispatching the method to the secondary thread.""" obj = self.__dont_mess_with_me_unless_you_know_what_youre_doing ret_val = None if main.in_proxy_call: ret_val = apply(obj, args, kw) else: finished = threading.Event() evt = proxy_event(obj, args, kw, finished) wxPostEvent(self.catcher, evt) finished.wait() if finished.exception_info: raise finished.exception_info[0], \ finished.exception_info[1] ret_val = finished._result return smart_return(ret_val)
exec(function)	exec function in globals(), locals()	def remap (listoflists,criterion): function = 'lines = map(lambda x: '+criterion+',listoflists)' exec(function) return lines
p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j,	p = [-.9077932138396487614720659-82196399419401501888968130.0e-271j, -.9077932138396487614720659+82196399419401501888968130.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j,	p = [-.9072099595087001356491337-72142113041117326028823950.0e-271j, -.9072099595087001356491337+72142113041117326028823950.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j,	p = [-.9067004324162775554189031-64279241063930693839360680.0e-271j, -.9067004324162775554189031+64279241063930693839360680.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j,	p = [-.9062570115576771146523497-57961780277849516990208850.0e-271j, -.9062570115576771146523497+57961780277849516990208850.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j,	p = [-.9058702269930872551848625-52774908289999045189007100.0e-271j, -.9058702269930872551848625+52774908289999045189007100.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j,	p = [-.9055312363372773709269407-48440066540478700874836350.0e-271j, -.9055312363372773709269407+48440066540478700874836350.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
-.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j,	-.9028833390228020537142561-93077131185102967450643820.0e-271j, -.9028833390228020537142561+93077131185102967450643820.0e-271j,	def besselap(N): """Return (z,p,k) zero, pole, gain for analog prototype of an Nth order Bessel filter.""" z = [] k = 1 if N == 0: p = []; elif N == 1: p = [-1] elif N == 2: p = [-.8660254037844386467637229+.49999999999999999999999961j, -.8660254037844386467637229-.49999999999999999999999961j] elif N == 3: p = [-.9416000265332067855971980, -.7456403858480766441810907-.71136662497283526809921541j, -.7456403858480766441810907+.71136662497283526809921541j] elif N == 4: p = [-.6572111716718829545787781-.83016143500487337723997151j, -.6572111716718829545787788+.83016143500487337723997151j, -.9047587967882449459642637-.27091873300387466367009231j, -.9047587967882449459642624+.27091873300387466367009261j] elif N == 5: p = [-.9264420773877602247196260, -.8515536193688395541722677-.44271746394433272098500021j, -.8515536193688395541722677+.44271746394433272098500021j, -.5905759446119191779319432-.90720675645745495392917471j, -.5905759446119191779319432+.90720675645745495392917471j] elif N == 6: p = [-.9093906830472271808050953-.18569643967930467692463971j, -.9093906830472271808050953+.18569643967930467692463971j, -.7996541858328288520243325-.56217173469373179885941181j, -.7996541858328288520243325+.56217173469373179885941181j, -.5385526816693109683073792-.96168768819542771992456571j, -.5385526816693109683073792+.96168768819542771992456571j] elif N == 7: p = [-.9194871556490290014311619, -.8800029341523374639772340-.32166527623077393983818301j, -.8800029341523374639772340+.32166527623077393983818301j, -.7527355434093214462291616-.65046963055225506992129951j, -.7527355434093214462291616+.65046963055225506992129951j, -.4966917256672316755024763-1.0025085084544204012302201j, -.4966917256672316755024763+1.0025085084544204012302201j] elif N == 8: p = [-.9096831546652910216327629-.14124379766714229278881501j, -.9096831546652910216327629+.14124379766714229278881501j, -.8473250802359334320103023-.42590175382729349949964291j, -.8473250802359334320103023+.42590175382729349949964291j, -.7111381808485399250796172-.71865173141084017057625711j, -.7111381808485399250796172+.71865173141084017057625711j, -.4621740412532122027072175-1.0343886811269010581165891j, -.4621740412532122027072175+1.0343886811269010581165891j] elif N == 9: p = [-.9154957797499037686769223, -.8911217017079759323183848-.25265809345821641923081151j, -.8911217017079759323183848+.25265809345821641923081151j, -.8148021112269012975514135-.50858156896314994837453411j, -.8148021112269012975514135+.50858156896314994837453411j, -.6743622686854761980403401-.77305462126911837069196821j, -.6743622686854761980403401+.77305462126911837069196821j, -.4331415561553618854685942-1.0600736701359296667743231j, -.4331415561553618854685942+1.0600736701359296667743231j] elif N == 10: p = [-.9091347320900502436826431-.11395831373355111699277141j, -.9091347320900502436826431+.11395831373355111699277141j, -.8688459641284764527921864-.34300082337663099731105891j, -.8688459641284764527921864+.34300082337663099731105891j, -.7837694413101441082655890-.57591475384999470700098521j, -.7837694413101441082655890+.57591475384999470700098521j, -.6417513866988316136190854-.81758361671910172262339471j, -.6417513866988316136190854+.81758361671910172262339471j, -.4083220732868861566219785-1.0812748428191245620372101j, -.4083220732868861566219785+1.0812748428191245620372101j] elif N == 11: p = [-.9129067244518981934637318, -.8963656705721166099815744-.20804803750710319196923411j -.8963656705721166099815744+.20804803750710319196923411j, -.8453044014712962954184557-.41786969178012482927974481j, -.8453044014712962954184557+.41786969178012482927974481j, -.7546938934722303128102142-.63191500507218464945209411j, -.7546938934722303128102142+.63191500507218464945209411j, -.6126871554915194054182909-.85478138933147646315185091j, -.6126871554915194054182909+.85478138933147646315185091j, -.3868149510055090879155425-1.0991174667631209287336321j, -.3868149510055090879155425+1.0991174667631209287336321j] elif N == 12: p = [-.9084478234140682638817772-95506365213450398415258360.0e-271j, -.9084478234140682638817772+95506365213450398415258360.0e-271j, -.8802534342016826507901575-.28717795035242267236154571j, -.8802534342016826507901575+.28717795035242267236154571j, -.8217296939939077285792834-.48102121151006764406205481j, -.8217296939939077285792834+.48102121151006764406205481j, -.7276681615395159454547013-.67929611787646941600489871j, -.7276681615395159454547013+.67929611787646941600489871j, -.5866369321861477207528215-.88637727513207270266221491j, -.5866369321861477207528215+.88637727513207270266221491j, -.3679640085526312839425808-1.1143735756415462575956571j, -.3679640085526312839425808+1.1143735756415462575956571j] elif N == 13: p = [-.9110914665984182781070663, -.8991314665475196220910718-.17683429561610436209808631j, -.8991314665475196220910718+.17683429561610436209808631j, -.8625094198260548711573628-.35474137311729889977540381j, -.8625094198260548711573628+.35474137311729889977540381j, -.7987460692470972510394686-.53507521206968019382725041j, -.7987460692470972510394686+.53507521206968019382725041j, -.7026234675721275653944062-.71996118901713041312663741j, -.7026234675721275653944062+.71996118901713041312663741j, -.5631559842430199266325818-.91359003383251096849277311j, -.5631559842430199266325818+.91359003383251096849277311j, -.3512792323389821669401925-1.1275915483177056786132391j, -.3512792323389821669401925+1.1275915483177056786132391j] elif N == 14: p = [-.9077932138396487614720659-82196399419401501888968130.0E-271j, -.9077932138396487614720659+82196399419401501888968130.0E-271j, -.8869506674916445312089167-.24700791787653331832014351j, -.8869506674916445312089167+.24700791787653331832014351j, -.8441199160909851197897667-.41316538251026925952372601j, -.8441199160909851197897667+.41316538251026925952372601j, -.7766591387063623897344648-.58191706773776085904924341j, -.7766591387063623897344648+.58191706773776085904924341j, -.6794256425119233117869491-.75528573050420334184174921j, -.6794256425119233117869491+.75528573050420334184174921j, -.5418766775112297376541293-.93730436835169195691830991j, -.5418766775112297376541293+.93730436835169195691830991j, -.3363868224902037330610040-1.1391722978398599913709241j, -.3363868224902037330610040+1.1391722978398599913709241j] elif N == 15: p = [-.9097482363849064167228581, -.9006981694176978324932918-.15376811972784393512988821j, -.9006981694176978324932918+.15376811972784393512988821j, -.8731264620834984978337843-.30823524705642676577158831j, -.8731264620834984978337843+.30823524705642676577158831j, -.8256631452587146506294553-.46423487527343256312751341j, -.8256631452587146506294553+.46423487527343256312751341j, -.7556027168970728127850416-.62293963587582671989386041j, -.7556027168970728127850416+.62293963587582671989386041j, -.6579196593110998676999362-.78628955037225158970656451j, -.6579196593110998676999362+.78628955037225158970656451j, -.5224954069658330616875186-.95817872610925264788893451j, -.5224954069658330616875186+.95817872610925264788893451j, -.3229963059766444287113517-1.1494161545836295396652971j, -.3229963059766444287113517+1.1494161545836295396652971j] elif N == 16: p = [-.9072099595087001356491337-72142113041117326028823950.0E-271j, -.9072099595087001356491337+72142113041117326028823950.0E-271j, -.8911723070323647674780132-.21670896599005764494100591j, -.8911723070323647674780132+.21670896599005764494100591j, -.8584264231521330481755780-.36216972718020656476610801j, -.8584264231521330481755780+.36216972718020656476610801j, -.8074790293236003885306146-.50929337511718001796762181j, -.8074790293236003885306146+.50929337511718001796762181j, -.7356166304713115980927279-.65919508778603937458452541j, -.7356166304713115980927279+.65919508778603937458452541j, -.6379502514039066715773828-.81374535371087618955225801j, -.6379502514039066715773828+.81374535371087618955225801j, -.5047606444424766743309967-.97671374777990906929470611j, -.5047606444424766743309967+.97671374777990906929470611j, -.3108782755645387813283867-1.1585528411993304794122251j, -.3108782755645387813283867+1.1585528411993304794122251j] elif N == 17: p = [-.9087141161336397432860029, -.9016273850787285964692844-.13602679951730245912373031j, -.9016273850787285964692844+.13602679951730245912373031j, -.8801100704438627158492165-.27253471564788038856519731j, -.8801100704438627158492165+.27253471564788038856519731j, -.8433414495836129204455491-.41007592829100216241859861j, -.8433414495836129204455491+.41007592829100216241859861j, -.7897644147799708220288138-.54937244052810886742962321j, -.7897644147799708220288138+.54937244052810886742962321j, -.7166893842372349049842743-.69149362863936094333057541j, -.7166893842372349049842743+.69149362863936094333057541j, -.6193710717342144521602448-.83824972528269929793686211j, -.6193710717342144521602448+.83824972528269929793686211j, -.4884629337672704194973683-.99329719563167816323454661j, -.4884629337672704194973683+.99329719563167816323454661j, -.2998489459990082015466971-1.1667612729256687866766721j, -.2998489459990082015466971+1.1667612729256687866766721j] elif N == 18: p = [-.9067004324162775554189031-64279241063930693839360680.0E-271j, -.9067004324162775554189031+64279241063930693839360680.0E-271j, -.8939764278132455733032155-.19303746408947586069405861j, -.8939764278132455733032155+.19303746408947586069405861j, -.8681095503628830078317207-.32242049251632576049316341j, -.8681095503628830078317207+.32242049251632576049316341j, -.8281885016242836608829018-.45293856978159169501493641j, -.8281885016242836608829018+.45293856978159169501493641j, -.7726285030739558780127746-.58527781620866406200163161j, -.7726285030739558780127746+.58527781620866406200163161j, -.6987821445005273020051878-.72046965097266305316631231j, -.6987821445005273020051878+.72046965097266305316631231j, -.6020482668090644386627299-.86027089618936644471674181j, -.6020482668090644386627299+.86027089618936644471674181j, -.4734268069916151511140032-1.0082343003148010770341581j, -.4734268069916151511140032+1.0082343003148010770341581j, -.2897592029880489845789953-1.1741830106000591285322301j, -.2897592029880489845789953+1.1741830106000591285322301j] elif N == 19: p = [-.9078934217899404528985092, -.9021937639390660668922536-.12195683818720265175781641j, -.9021937639390660668922536+.12195683818720265175781641j, -.8849290585034385274001112-.24425907575498182290262801j, -.8849290585034385274001112+.24425907575498182290262801j, -.8555768765618421591093993-.36729258963998723047349231j, -.8555768765618421591093993+.36729258963998723047349231j, -.8131725551578197705476160-.49153650355624590556300051j, -.8131725551578197705476160+.49153650355624590556300051j, -.7561260971541629355231897-.61764839179701789191741731j, -.7561260971541629355231897+.61764839179701789191741731j, -.6818424412912442033411634-.74662723579477612832623381j, -.6818424412912442033411634+.74662723579477612832623381j, -.5858613321217832644813602-.88018171310145662847867591j, -.5858613321217832644813602+.88018171310145662847867591j, -.4595043449730988600785456-1.0217687769126712218302981j, -.4595043449730988600785456+1.0217687769126712218302981j, -.2804866851439370027628724-1.1809316284532918736260031j, -.2804866851439370027628724+1.1809316284532918736260031j] elif N == 20: p = [-.9062570115576771146523497-57961780277849516990208850.0E-271j, -.9062570115576771146523497+57961780277849516990208850.0E-271j, -.8959150941925768608568248-.17403171759187050585958441j, -.8959150941925768608568248+.17403171759187050585958441j, -.8749560316673332850673214-.29055592965679080317069021j, -.8749560316673332850673214+.29055592965679080317069021j, -.8427907479956670633544106-.40789173262919340821328211j, -.8427907479956670633544106+.40789173262919340821328211j, -.7984251191290606875799876-.52649423888171324273176591j, -.7984251191290606875799876+.52649423888171324273176591j, -.7402780309646768991232610-.64699752376052283202687521j, -.7402780309646768991232610+.64699752376052283202687521j, -.6658120544829934193890626-.77037217011007630151545101j, -.6658120544829934193890626+.77037217011007630151545101j, -.5707026806915714094398061-.89828290664682555934071611j, -.5707026806915714094398061+.89828290664682555934071611j, -.4465700698205149555701841-1.0340977025608429623154111j, -.4465700698205149555701841+1.0340977025608429623154111j, -.2719299580251652601727704-1.1870993798108858861396381j, -.2719299580251652601727704+1.1870993798108858861396381j] elif N == 21: p = [-.9072262653142957028884077, -.9025428073192696303995083-.11052525727898564809922751j, -.9025428073192696303995083+.11052525727898564809922751j, -.8883808106664449854431605-.22130692150843504199753581j, -.8883808106664449854431605+.22130692150843504199753581j, -.8643915813643204553970169-.33262585125221870830094531j, -.8643915813643204553970169+.33262585125221870830094531j, -.8299435470674444100273463-.44481777394079566096940591j, -.8299435470674444100273463+.44481777394079566096940591j, -.7840287980408341576100581-.55831863480228547075648561j, -.7840287980408341576100581+.55831863480228547075648561j, -.7250839687106612822281339-.67374260630243822405498981j, -.7250839687106612822281339+.67374260630243822405498981j, -.6506315378609463397807996-.79203493426294913685480741j, -.6506315378609463397807996+.79203493426294913685480741j, -.5564766488918562465935297-.91481984058467241216008601j, -.5564766488918562465935297+.91481984058467241216008601j, -.4345168906815271799687308-1.0453822558569865314615921j, -.4345168906815271799687308+1.0453822558569865314615921j, -.2640041595834031147954813-1.1927620319480524701839601j, -.2640041595834031147954813+1.1927620319480524701839601j] elif N == 22: p = [-.9058702269930872551848625-52774908289999045189007100.0E-271j, -.9058702269930872551848625+52774908289999045189007100.0E-271j, -.8972983138153530955952835-.15843519122898656086597591j, -.8972983138153530955952835+.15843519122898656086597591j, -.8799661455640176154025352-.26443630392015350496564501j, -.8799661455640176154025352+.26443630392015350496564501j, -.8534754036851687233084587-.37103893194823198234053211j, -.8534754036851687233084587+.37103893194823198234053211j, -.8171682088462720394344996-.47856194922027808996535751j, -.8171682088462720394344996+.47856194922027808996535751j, -.7700332930556816872932937-.58742554263511532119656011j, -.7700332930556816872932937+.58742554263511532119656011j, -.7105305456418785989070935-.69822662659245240000985481j, -.7105305456418785989070935+.69822662659245240000985481j, -.6362427683267827226840153-.81188750402463472672485081j, -.6362427683267827226840153+.81188750402463472672485081j, -.5430983056306302779658129-.92999478244398729989166571j, -.5430983056306302779658129+.92999478244398729989166571j, -.4232528745642628461715044-1.0557556052275459312046561j, -.4232528745642628461715044+1.0557556052275459312046561j, -.2566376987939318038016012-1.1979824335552130083465321j, -.2566376987939318038016012+1.1979824335552130083465321j] elif N == 23: p = [-.9066732476324988168207439, -.9027564979912504609412993-.10105343353140450132524801j, -.9027564979912504609412993+.10105343353140450132524801j, -.8909283242471251458653994-.20230246993812234181952281j, -.8909283242471251458653994+.20230246993812234181952281j, -.8709469395587416239596874-.30395819939500415888889251j, -.8709469395587416239596874+.30395819939500415888889251j, -.8423805948021127057054288-.40626579482376027267792461j, -.8423805948021127057054288+.40626579482376027267792461j, -.8045561642053176205623187-.50953059122272582683095281j, -.8045561642053176205623187+.50953059122272582683095281j, -.7564660146829880581478138-.61415948594760321272164631j, -.7564660146829880581478138+.61415948594760321272164631j, -.6965966033912705387505040-.72073413747530469702470551j, -.6965966033912705387505040+.72073413747530469702470551j, -.6225903228771341778273152-.83015583028129806788455631j, -.6225903228771341778273152+.83015583028129806788455631j, -.5304922463810191698502226-.94397603640183000837502421j, -.5304922463810191698502226+.94397603640183000837502421j, -.4126986617510148836149955-1.0653287944755135855310531j, -.4126986617510148836149955+1.0653287944755135855310531j, -.2497697202208956030229911-1.2028131878706978313653381j, -.2497697202208956030229911+1.2028131878706978313653381j] elif N == 24: p = [-.9055312363372773709269407-48440066540478700874836350.0E-271j, -.9055312363372773709269407+48440066540478700874836350.0E-271j, -.8983105104397872954053307-.14540561338736101201058571j, -.8983105104397872954053307+.14540561338736101201058571j, -.8837358034555706623131950-.24263352344013830765442391j, -.8837358034555706623131950+.24263352344013830765442391j, -.8615278304016353651120610-.34032021126186247733972571j, -.8615278304016353651120610+.34032021126186247733972571j, -.8312326466813240652679563-.43869859335973054345774921j, -.8312326466813240652679563+.43869859335973054345774921j, -.7921695462343492518845446-.53806284909680167003380011j, -.7921695462343492518845446+.53806284909680167003380011j, -.7433392285088529449175873-.63880842162225679303782961j, -.7433392285088529449175873+.63880842162225679303782961j, -.6832565803536521302816011-.74150326950916508067977531j, -.6832565803536521302816011+.74150326950916508067977531j, -.6096221567378335562589532-.84702924330772023800204541j, -.6096221567378335562589532+.84702924330772023800204541j, -.5185914574820317343536707-.95690483852590545769377211j, -.5185914574820317343536707+.95690483852590545769377211j, -.4027853855197518014786978-1.0741951965186747651437291j, -.4027853855197518014786978+1.0741951965186747651437291j, -.2433481337524869675825448-1.2072986837319725249754291j, -.2433481337524869675825448+1.2072986837319725249754291j] elif N == 25: p = [-.9062073871811708652496104, -.9028833390228020537142561-93077131185102967450643820.0E-271j, -.9028833390228020537142561+93077131185102967450643820.0E-271j, -.8928551459883548836774529-.18630689698043007122871381j, -.8928551459883548836774529+.18630689698043007122871381j, -.8759497989677857803656239-.27985213217714087193272501j, -.8759497989677857803656239+.27985213217714087193272501j, -.8518616886554019782346493-.37389778759075950094461421j, -.8518616886554019782346493+.37389778759075950094461421j, -.8201226043936880253962552-.46866685746569665890205801j, -.8201226043936880253962552+.46866685746569665890205801j, -.7800496278186497225905443-.56444412103497103328873541j, -.7800496278186497225905443+.56444412103497103328873541j, -.7306549271849967721596735-.66161496473577486814608221j, -.7306549271849967721596735+.66161496473577486814608221j, -.6704827128029559528610523-.76073488581678398779870081j, -.6704827128029559528610523+.76073488581678398779870081j, -.5972898661335557242320528-.86266763303880285125985381j, -.5972898661335557242320528+.86266763303880285125985381j, -.5073362861078468845461362-.96890063053448684946724051j, -.5073362861078468845461362+.96890063053448684946724051j, -.3934529878191079606023847-1.0824339271738315819568631j, -.3934529878191079606023847+1.0824339271738315819568631j, -.2373280669322028974199184-1.2114766583825653565794181j, -.2373280669322028974199184+1.2114766583825653565794181j] else: raise ValueError, "Bessel Filter not supported for order %d" % N return z, p, k
b = io.read_array(fname,atype=N.Int)	b = io.read_array(fname,atype=a.dtypechar)	def check_integer(self): from scipy import stats a = stats.randint.rvs(1,20,size=(3,4)) fname = tempfile.mktemp('.dat') io.write_array(fname,a) b = io.read_array(fname,atype=N.Int) assert_array_equal(a,b) os.remove(fname)
Ap = apply(approx_fhess_p,(xk,psupi,fprime,espilon)+args)	Ap = apply(approx_fhess_p,(xk,psupi,fprime,epsilon)+args)	def fmin_ncg(f, x0, fprime, fhess_p=None, fhess=None, args=(), avextol=1e-5, epsilon=1e-8, maxiter=None, full_output=0, disp=1): """Description: Minimize the function, f, whose gradient is given by fprime using the Newton-CG method. fhess_p must compute the hessian times an arbitrary vector. If it is not given, finite-differences on fprime are used to compute it. See Wright, and Nocedal 'Numerical Optimization', 1999, pg. 140. Inputs: f -- the Python function or method to be minimized. x0 -- the initial guess for the minimizer. fprime -- a function to compute the gradient of f: fprime(x, args) fhess_p -- a function to compute the Hessian of f times an arbitrary vector: fhess_p (x, p, args) fhess -- a function to compute the Hessian matrix of f. args -- extra arguments for f, fprime, fhess_p, and fhess (the same set of extra arguments is supplied to all of these functions). epsilon -- if fhess is approximated use this value for the step size (can be scalar or vector) Outputs: (xopt, {fopt, fcalls, gcalls, hcalls, warnflag}) xopt -- the minimizer of f fopt -- the value of the function at xopt: fopt = f(xopt) fcalls -- the number of function calls. gcalls -- the number of gradient calls. hcalls -- the number of hessian calls. warnflag -- algorithm warnings: 1 : 'Maximum number of iterations exceeded.' Additional Inputs: avextol -- Convergence is assumed when the average relative error in the minimizer falls below this amount. maxiter -- Maximum number of iterations to allow. full_output -- If non-zero return the optional outputs. disp -- If non-zero print convergence message. Remarks: Only one of fhess_p or fhess need be given. If fhess is provided, then fhess_p will be ignored. If neither fhess nor fhess_p is provided, then the hessian product will be approximated using finite differences on fprime. """ x0 = asarray(x0) fcalls = 0 gcalls = 0 hcalls = 0 if maxiter is None: maxiter = len(x0)200 xtol = len(x0)avextol update = [2xtol] xk = x0 k = 0 old_fval = f(x0,args) fcalls += 1 while (Num.add.reduce(abs(update)) > xtol) and (k < maxiter): # Compute a search direction pk by applying the CG method to # del2 f(xk) p = - grad f(xk) starting from 0. b = -apply(fprime,(xk,)+args) gcalls = gcalls + 1 maggrad = Num.add.reduce(abs(b)) eta = min([0.5,Num.sqrt(maggrad)]) termcond = eta * maggrad xsupi = 0 ri = -b psupi = -ri i = 0 dri0 = Num.dot(ri,ri) if fhess is not None: # you want to compute hessian once. A = apply(fhess,(xk,)+args) hcalls = hcalls + 1 while Num.add.reduce(abs(ri)) > termcond: if fhess is None: if fhess_p is None: Ap = apply(approx_fhess_p,(xk,psupi,fprime,espilon)+args) gcalls = gcalls + 2 else: Ap = apply(fhess_p,(xk,psupi)+args) hcalls = hcalls + 1 else: Ap = Num.dot(A,psupi) # check curvature curv = Num.dot(psupi,Ap) if (curv <= 0): if (i > 0): break else: xsupi = xsupi + dri0/curv * psupi break alphai = dri0 / curv xsupi = xsupi + alphai * psupi ri = ri + alphai * Ap dri1 = Num.dot(ri,ri) betai = dri1 / dri0 psupi = -ri + betai * psupi i = i + 1 dri0 = dri1 # update Num.dot(ri,ri) for next time. pk = xsupi # search direction is solution to system. gfk = -b # gradient at xk alphak, fc, gc, old_fval = line_search_BFGS(f,xk,pk,gfk,old_fval,args) fcalls = fcalls + fc gcalls = gcalls + gc update = alphak * pk xk = xk + update k = k + 1 if disp or full_output: fval = old_fval if k >= maxiter: warnflag = 1 if disp: print "Warning: Maximum number of iterations has been exceeded" print " Current function value: %f" % fval print " Iterations: %d" % k print " Function evaluations: %d" % fcalls print " Gradient evaluations: %d" % gcalls print " Hessian evaluations: %d" % hcalls else: warnflag = 0 if disp: print "Optimization terminated successfully." print " Current function value: %f" % fval print " Iterations: %d" % k print " Function evaluations: %d" % fcalls print " Gradient evaluations: %d" % gcalls print " Hessian evaluations: %d" % hcalls if full_output: return xk, fval, fcalls, gcalls, hcalls, warnflag else: return xk