def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds):
info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds)
info["credit"] = ""
info["learnmore"] = learnmore_list()
mwf_logger.debug("args=%s" % request.args)
mwf_logger.debug("method=%s" % request.method)
mwf_logger.debug("req.form=%s" % request.form)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("level,weight,char={0},{1},{2}".format(level, weight, character))
if info.get('maass_id', None) and info.get('db', None):
return render_one_maass_waveform_wp(**info)
if info['search'] or (info['browse'] and int(info['weight']) != 0):
search = get_search_parameters(info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
if info['browse']:
mwf_logger.debug("browse info=%s" % info)
return render_browse_all_eigenvalues(**info)
info['cur_character'] = character
if level > 0:
info['maass_weight'] = maass_db.weights(int(level))
info['cur_level'] = level
if weight > -1:
info['cur_weight'] = weight
if level > 0:
info['maass_character'] = maass_db.characters(int(level), float(weight))
if character > - 1:
info['cur_character'] = character
if level > 0 or weight > -1 or character > -1:
search = get_search_parameters(info)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
title = 'Maass Forms'
info['list_of_levels'] = maass_db.levels()
if info['list_of_levels']:
info['max_level'] = max(info['list_of_levels'])
else:
info['max_level'] = 0
mwf_logger.debug("info3=%s" % info)
bread = [('Modular Forms', url_for('mf.modular_form_main_page')),
('Maass Forms', url_for('.render_maass_waveforms'))]
info['bread'] = bread
info['title'] = title
maass_db.set_table()
maass_db.table['ncols'] = 10
info['DB'] = maass_db
info['dbcount'] = maass_db.count()
info['limit'] = maxNumberOfResultsToShow
return render_template("mwf_navigate.html", **info)
def render_maass_waveforms(level=0,
weight=-1,
character=-1,
r1=0,
r2=0,
**kwds):
info = get_args_mwf(level=level,
weight=weight,
character=character,
r1=r1,
r2=r2,
**kwds)
info[
"credit"] = u"Data computed by Stefan Lemurell and Fredrik Str\u00f6mberg."
info["bread"] = [('Modular Forms', url_for('mf.modular_form_main_page')),
('Maass Forms', url_for('.render_maass_waveforms'))]
info["learnmore"] = learnmore_list()
mwf_logger.debug("args=%s" % request.args)
mwf_logger.debug("method=%s" % request.method)
mwf_logger.debug("req.form=%s" % request.form)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("level,weight,char={0},{1},{2}".format(
level, weight, character))
if info.get('maass_id', None) and info.get('db', None):
return render_one_maass_waveform_wp(**info)
if info['search'] or (info['browse'] and int(info['weight']) != 0):
# This isn't the right place to do input validation, but it is easier to flash errors here (this is a hack to address issue #1820)
if info.get('level_range'):
if not re.match(POSINT_RE, info['level_range']):
if "-" in info['level_range']:
info['level_range'] = "..".join(
info['level_range'].split("-"))
if not re.match(POSINT_RANGE_RE, info['level_range']):
flash_error(
"%s is not a level, please specify a positive integer <span style='color:black'>n</span> or postivie integer range <span style='color:black'>m..n</span>.",
info['level_range'])
return render_template('mwf_navigate.html', **info)
if info['character'] != -1:
if info['character'] == '1' or info['character'] == '1.1':
info['character'] = '1'
else:
try:
N = int(info.get('level_range', '0'))
except:
flash_error(
"Only the trivial character can be specified in combination with a range of levels.",
info['character'])
return render_template('mwf_navigate.html', **info)
if re.match(POSINT_RE, info['character']):
if N == 0:
flash_error(
"Character %s is ambiguous. Please either specify a level or use a character label of the form <span style='color:black'>q.n</span>, where q specifies the level.",
info['character'])
return render_template('mwf_navigate.html', **info)
n = int(info['character'])
if gcd(N, n) != 1:
flash_error(
"Character %s is not coprime to the level %s.",
info['character'], str(N))
return render_template('mwf_navigate.html', **info)
else:
if not re.match(r'^[1-9][0-9]*\.[1-9][0-9]*$',
info['character']):
flash_error(
"%s is not a valid label for a Dirichlet character. It should be either be 1 (for the trivial character) or of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.",
info['character'])
return render_template('mwf_navigate.html', **info)
s = info['character'].split('.')
q, n = int(s[0]), int(s[1])
if n > q or gcd(q, n) != 1:
flash_error(
"%s is not a valid label for a Dirichlet character. It should be of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.",
info['character'])
return render_template('mwf_navigate.html', **info)
if N > 0 and q != N:
flash_error(
"The specified character %s is not compatible with the level %s.",
info['character'], info['level'])
return render_template('mwf_navigate.html', **info)
info['level_range'] = str(q)
info['character'] = str(n)
if info['weight'] != -1:
if not re.match(INT_RE, info['weight']):
flash_error(
"%s is not a valid weight. It should be a nonnegative integer.",
info['weight'])
return render_template('mwf_navigate.html', **info)
if info.get('ev_range'):
if not re.match(FLOAT_RE, info['ev_range']):
if "-" in info['ev_range']:
info['ev_range'] = "..".join(info['ev_range'].split("-"))
s = info['ev_range'].split("..")
if len(s) != 2:
flash_error(
"%s is not a valid eigenvalue range. It should be postive real interval.",
info['ev_range'])
return render_template('mwf_navigate.html', **info)
if not re.match(FLOAT_RE, s[0]) or not re.match(
FLOAT_RE, s[1]):
flash_error(
"%s is not a valid eigenvalue range. It should be postive real interval.",
info['ev_range'])
return render_template('mwf_navigate.html', **info)
search = get_search_parameters(info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
if info['browse']:
mwf_logger.debug("browse info=%s" % info)
return render_browse_all_eigenvalues(**info)
info['cur_character'] = character
if level > 0:
info['maass_weight'] = maass_db.weights(int(level))
info['cur_level'] = level
if weight > -1:
info['cur_weight'] = weight
if level > 0:
info['maass_character'] = maass_db.characters(
int(level), float(weight))
if character > -1:
info['cur_character'] = character
if level > 0 or weight > -1 or character > -1:
search = get_search_parameters(info)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
title = 'Maass Forms'
info['list_of_levels'] = maass_db.levels()
if info['list_of_levels']:
info['max_level'] = max(info['list_of_levels'])
else:
info['max_level'] = 0
mwf_logger.debug("info3=%s" % info)
bread = [('Modular Forms', url_for('mf.modular_form_main_page')),
('Maass Forms', url_for('.render_maass_waveforms'))]
info['bread'] = bread
info['title'] = title
maass_db.set_table()
maass_db.table['ncols'] = 10
info['DB'] = maass_db
info['dbcount'] = maass_db.count()
info['limit'] = maxNumberOfResultsToShow
return render_template("mwf_navigate.html", **info)
def render_maass_waveforms(level=0,
weight=-1,
character=-1,
r1=0,
r2=0,
**kwds):
info = get_args_mwf(level=level,
weight=weight,
character=character,
r1=r1,
r2=r2,
**kwds)
info["credit"] = ""
info["learnmore"] = []
mwf_logger.debug("args=%s" % request.args)
mwf_logger.debug("method=%s" % request.method)
mwf_logger.debug("req.form=%s" % request.form)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("level,weight,char={0},{1},{2}".format(
level, weight, character))
if info.get('maass_id', None) and info.get('db', None):
return render_one_maass_waveform_wp(**info)
if info['search'] or (info['browse'] and int(info['weight']) != 0):
search = get_search_parameters(info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
if info['browse']:
mwf_logger.debug("browse info=%s" % info)
return render_browse_all_eigenvalues(**info)
info['cur_character'] = character
if level > 0:
info['maass_weight'] = maass_db.weights(int(level))
info['cur_level'] = level
if weight > -1:
info['cur_weight'] = weight
if level > 0:
info['maass_character'] = maass_db.characters(
int(level), float(weight))
if character > -1:
info['cur_character'] = character
if level > 0 or weight > -1 or character > -1:
search = get_search_parameters(info)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
title = 'Maass Forms'
info['list_of_levels'] = maass_db.levels()
if info['list_of_levels']:
info['max_level'] = max(info['list_of_levels'])
else:
info['max_level'] = 0
mwf_logger.debug("info3=%s" % info)
bread = [('Modular Forms', url_for('mf.modular_form_main_page')),
('Maass Forms', url_for('.render_maass_waveforms'))]
info['bread'] = bread
info['title'] = title
maass_db.set_table()
maass_db.table['ncols'] = 10
info['DB'] = maass_db
info['dbcount'] = maass_db.count()
info['limit'] = maxNumberOfResultsToShow
return render_template("mwf_navigate.html", **info)
def set_table(self, data={}):
# data = maass_db.get_search_parameters(data,kwds
mwf_logger.debug("set table, data = {0}".format(data))
mwf_logger.debug("skip= {0}".format(self.skip))
mwf_logger.debug("limit= {0}".format(self.limit))
self.table = []
data['skip'] = self.skip
data['limit'] = self.limit
l1 = self.keys.index('Level')
level_ll = (self.skip[l1]) * self.limit[l1]
level_ul = (self.skip[l1] + 1) * self.limit[l1]
ev_limit = self.limit[self.keys.index('Eigenvalue')]
ev_skip = self.skip[self.keys.index('Eigenvalue')] * ev_limit
new_cols = []
levels = maass_db.levels()
mwf_logger.debug("levels= {0}".format(levels))
cur_level = data.get('level', None)
cur_wt = data.get('weight', None)
print("cur_level=", cur_level)
print("cur_wt=", cur_wt)
for N in levels:
if cur_level and cur_level != N:
continue
N = int(N)
if N < level_ll or N > level_ul:
continue
print("N=", N)
weights = maass_db.weights(N)
print("weights=", weights)
self.wt = weights
for k in weights:
if cur_wt is not None and cur_wt != k:
continue
print("k=", k)
k = int(k)
evs = []
query = {'Level': N, 'Weight': k}
totalc = maass_db.count(query)
finds = maass_db.get_Maass_forms(query,
limit=ev_limit,
offset=ev_skip)
for rec in finds:
row = {}
maass_id = rec.get('_id', None)
row['R'] = rec.get('Eigenvalue', None)
row['st'] = rec.get("Symmetry")
row['cusp_evs'] = rec.get("Cusp_evs")
row['err'] = rec.get('Error', 0)
row['url'] = url_for('mwf.render_one_maass_waveform',
maass_id=maass_id)
row['numc'] = rec.get('Numc', 0)
evs.append(row)
kmax = int(totalc / ev_limit)
paging = []
for j in range(ev_skip, kmax):
k0 = (j) * ev_limit
k1 = (j + 1) * ev_limit
url = url_for('mwf.render_maass_waveforms',
level=N,
weight=k,
skip=ev_skip + j,
limit=ev_limit)
skip = {
'url': url,
'k0': k0,
'k1': k1,
'cur_skip': ev_skip,
'cur_limit': ev_limit,
"skip": j
}
paging.append(skip)
# s+="]"
self.paging = paging
smalltbl = {'N': N, 'k': k, 'evs': evs, 'paging': paging}
if len(evs) > 0:
self.table.append(smalltbl)
print("table=", self.table)
self.cols = new_cols
def set_table(self, data={}):
# data = maass_db.get_search_parameters(data,kwds
mwf_logger.debug("set table, data = {0}".format(data))
mwf_logger.debug("skip= {0}".format(self.skip))
mwf_logger.debug("limit= {0}".format(self.limit))
self.table = []
data['skip'] = self.skip
data['limit'] = self.limit
l1 = self.keys.index('Level')
level_ll = (self.skip[l1]) * self.limit[l1]
level_ul = (self.skip[l1] + 1) * self.limit[l1]
ev_limit = self.limit[self.keys.index('Eigenvalue')]
ev_skip = self.skip[self.keys.index('Eigenvalue')] * ev_limit
new_cols = []
levels = maass_db.levels()
mwf_logger.debug("levels= {0}".format(levels))
cur_level = data.get('level', None)
cur_wt = data.get('weight', None)
print "cur_level=", cur_level
print "cur_wt=", cur_wt
for N in levels:
if cur_level and cur_level != N:
continue
N = int(N)
if N < level_ll or N > level_ul:
continue
print "N=", N
weights = maass_db.weights(N)
print "weights=", weights
self.wt = weights
for k in weights:
if cur_wt is not None and cur_wt != k:
continue
print "k=", k
k = int(k)
evs = []
query = {'Level': N, 'Weight': k}
totalc = maass_db.count(query)
finds = maass_db.get_Maass_forms(query, limit=ev_limit, offset=ev_skip)
for rec in finds:
row = {}
maass_id = rec.get('_id', None)
row['R'] = rec.get('Eigenvalue', None)
row['st'] = rec.get("Symmetry")
row['cusp_evs'] = rec.get("Cusp_evs")
row['err'] = rec.get('Error', 0)
row['url'] = url_for('mwf.render_one_maass_waveform', maass_id=maass_id)
row['numc'] = rec.get('Numc', 0)
evs.append(row)
kmax = int(totalc / ev_limit)
paging = []
for j in range(ev_skip, kmax):
k0 = (j) * ev_limit
k1 = (j + 1) * ev_limit
url = url_for(
'mwf.render_maass_waveforms', level=N, weight=k, skip=ev_skip + j, limit=ev_limit)
skip = {'url': url, 'k0': k0, 'k1': k1, 'cur_skip': ev_skip,
'cur_limit': ev_limit, "skip": j}
paging.append(skip)
# s+="]"
self.paging = paging
smalltbl = {'N': N, 'k': k, 'evs': evs, 'paging': paging}
if len(evs) > 0:
self.table.append(smalltbl)
print "table=", self.table
self.cols = new_cols
def render_maass_waveforms(level=0, weight=-1, character=-1, r1=0, r2=0, **kwds):
info = get_args_mwf(level=level, weight=weight, character=character, r1=r1, r2=r2, **kwds)
info["credit"] = ""
info["learnmore"] = learnmore_list()
mwf_logger.debug("args=%s" % request.args)
mwf_logger.debug("method=%s" % request.method)
mwf_logger.debug("req.form=%s" % request.form)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("level,weight,char={0},{1},{2}".format(level, weight, character))
if info.get('maass_id', None) and info.get('db', None):
return render_one_maass_waveform_wp(**info)
if info['search'] or (info['browse'] and int(info['weight']) != 0):
# This isn't the right place to do input validation, but it is easier to flash errors here (this is a hack to address issue #1820)
if info.get('level_range'):
if not re.match(POSINT_RE, info['level_range']):
if "-" in info['level_range']:
info['level_range'] = "..".join(info['level_range'].split("-"))
if not re.match(POSINT_RANGE_RE, info['level_range']):
flash_error("%s is not a level, please specify a positive integer <span style='color:black'>n</span> or postivie integer range <span style='color:black'>m..n</span>.", info['level_range'])
return render_template('mwf_navigate.html', **info)
if info['character'] != -1:
try:
N = int(info.get('level_range','0'))
except:
flash_error("Character %s cannot be specified in combination with a range of levels.", info['character'])
return render_template('mwf_navigate.html', **info)
if not re.match(r'^[1-9][0-9]*\.[1-9][0-9]*$', info['character']):
flash_error("%s is not a valid label for a Dirichlet character. It should be of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.", info['character'])
return render_template('mwf_navigate.html', **info)
s = info['character'].split('.')
q,n = int(s[0]), int(s[1])
if n > q or gcd(q,n) != 1 or (N > 0 and q != N):
flash_error("%s is not a valid label for a Dirichlet character. It should be of the form <span style='color:black'>q.n</span>, where q and n are coprime positive integers with n < q, or q=n=1.", info['character'])
return render_template('mwf_navigate.html', **info)
info['level_range'] = str(q)
info['character'] = str(n)
if info['weight'] != -1:
if not re.match(INT_RE, info['weight']):
flash_error("%s is not a valid weight. It should be a nonnegative integer.", info['weight'])
return render_template('mwf_navigate.html', **info)
if info.get('ev_range'):
if not re.match(FLOAT_RE,info['ev_range']):
if "-" in info['ev_range']:
info['ev_range'] = "..".join(info['ev_range'].split("-"))
s = info['ev_range'].split("..")
if len(s) != 2:
flash_error("%s is not a valid eigenvalue range. It should be postive real interval.", info['ev_range'])
return render_template('mwf_navigate.html', **info)
if not re.match(FLOAT_RE,s[0]) or not re.match(FLOAT_RE,s[1]):
flash_error("%s is not a valid eigenvalue range. It should be postive real interval.", info['ev_range'])
return render_template('mwf_navigate.html', **info)
search = get_search_parameters(info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
if info['browse']:
mwf_logger.debug("browse info=%s" % info)
return render_browse_all_eigenvalues(**info)
info['cur_character'] = character
if level > 0:
info['maass_weight'] = maass_db.weights(int(level))
info['cur_level'] = level
if weight > -1:
info['cur_weight'] = weight
if level > 0:
info['maass_character'] = maass_db.characters(int(level), float(weight))
if character > - 1:
info['cur_character'] = character
if level > 0 or weight > -1 or character > -1:
search = get_search_parameters(info)
mwf_logger.debug("info=%s" % info)
mwf_logger.debug("search=%s" % search)
return render_search_results_wp(info, search)
title = 'Maass Forms'
info['list_of_levels'] = maass_db.levels()
if info['list_of_levels']:
info['max_level'] = max(info['list_of_levels'])
else:
info['max_level'] = 0
mwf_logger.debug("info3=%s" % info)
bread = [('Modular Forms', url_for('mf.modular_form_main_page')),
('Maass Forms', url_for('.render_maass_waveforms'))]
info['bread'] = bread
info['title'] = title
maass_db.set_table()
maass_db.table['ncols'] = 10
info['DB'] = maass_db
info['dbcount'] = maass_db.count()
info['limit'] = maxNumberOfResultsToShow
return render_template("mwf_navigate.html", **info)