def render_one_maass_waveform(maass_id, **kwds): r""" Render the webpage of one Maass waveform by calling render_one_maass_waveform_wp or generates a download in a format that is readable by python. """ info = get_args_mwf(**kwds) info['maass_id'] = maass_id mwf_logger.debug("in_render_one_maass_form: info={0}".format(info)) if (info.get('download', '') == 'coefficients' or info.get('download', '') == 'all'): maass_id = info['maass_id'] try: f = WebMaassForm(maass_id) except KeyError: flask.abort(404) filename = str(f._maass_id) + '.txt' if info.get('download', '') == 'coefficients': res = f.coeffs else: res = f.download_text() strIO = StringIO.StringIO() strIO.write(res) strIO.seek(0) try: return send_file(strIO, attachment_filename=filename, as_attachment=True, add_etags=False) except IOError: info['error'] = "Could not send file!" else: return render_one_maass_waveform_wp(info)
def render_one_maass_waveform_wp(info, prec=9): r""" Render the webpage of one Maass waveform. The precision kwarg `prec` is passed to the coefficient table, and indicates to round to 0 when the difference is less than 1e-`prec`. """ info["check"] = [] maass_id = info['maass_id'] mwf_logger.debug("id1={0}".format(maass_id)) try: MF = WebMaassForm(maass_id) except KeyError: return flask.abort(404) info['MF'] = MF info['title'] = "Maass Form" info['bread'] = [('Modular Forms', url_for('mf.modular_form_main_page')), ('Maass Forms', url_for('.render_maass_waveforms'))] if hasattr(MF, 'level'): info['bread'].append(('Level {0}'.format(MF.level), url_for('.render_maass_waveforms', level=MF.level))) info['title'] += r" on \(\Gamma_{0}( %s )\)" % info['MF'].level if hasattr(MF, 'R') and MF.R: info['title'] += r" with \(R=%s\)" % info['MF'].R # make sure all the expected attributes of a WebMaassForm are actually present missing = [ attr for attr in ['level', 'dim', 'num_coeff', 'R', 'character'] if not hasattr(MF, attr) ] if missing: mwf_logger.critical( "Unable to render Maass form {0}; required attributes {1} missing from database record." .format(maass_id, missing)) info['explain'] = "Unable to render Maass form {0} because the following required attributes were missing from the database record:".format(maass_id) \ + "<ul>" + "".join(["<li>"+attr+"</li>" for attr in missing]) + "</ul>" return render_template("problem.html", **info) level = info['MF'].level dim = info['MF'].dim # numc = info['MF'].num_coeff # never used # if info['MF'].has_plot(): # and level == 1: # Bara level = 1 har rätt format för tillfället //Lemurell # info['plotlink'] = url_for('mwf.plot_maassform', maass_id=maass_id) # Create the link to the L-function (put in '/L' at the beginning and '/' before '?' Llink = "/L" + url_for('mwf.render_one_maass_waveform', maass_id=maass_id) # + '/?db=' + info['db'] if dim == 1: info["friends"] = [("L-function", Llink)] # Navigation to previous and next form # next_form_id = info['MF'].next_maassform_id() # if next_form_id: # next_data = ('next', r"$f_{\text next}$", url_for('mwf.render_one_maass_waveform', maass_id = next_form_id) ) # else: # next_data = ('','','') # prev_form_id = info['MF'].prev_maassform_id() # if prev_form_id: # prev_data = ('previous', r"$f_{\text prev}$", url_for('mwf.render_one_maass_waveform', maass_id = prev_form_id) ) # else: # prev_data = ('','','') # info['navi'] = ( prev_data, next_data ) info["downloads"] = [('All stored data of the form', url_for('mwf.render_one_maass_waveform', maass_id=maass_id, download='all')), ('All coefficients of the form', url_for('mwf.render_one_maass_waveform', maass_id=maass_id, download='coefficients'))] mwf_logger.debug("count={0}".format(maass_db.count())) ch = info['MF'].character s = r"\( \chi_{" + str(level) + "}(" + str(ch) + r",\cdot) \)" # Q: Is it possible to get the knowls into the properties? # A: Not in a nice way and this is not done elsewhere in the LMFDB; the knowls should appear on labels in the template # knowls = {'level': 'mf.maass.mwf.level', # 'weight': 'mf.maass.mwf.weight', # 'char': 'mf.maass.mwf.character', # 'R': 'mf.maass.mwf.eigenvalue', # 'sym': 'mf.maass.mwf.symmetry', # 'prec': 'mf.maass.mwf.precision', # 'mult': 'mf.maass.mwf.dimension', # 'ncoeff': 'mf.maass.mwf.ncoefficients', # 'fricke': 'cmf.fricke', # 'atkinlehner': 'cmf.atkin-lehner'} properties = [ ('Level', [info['MF'].level]), ('Symmetry', [info['MF'].even_odd()]), ('Weight', [info['MF'].the_weight()]), ('Character', [s]), ('Multiplicity', [dim]), ('Precision', [info['MF'].precision()]), ('Fricke Eigenvalue', [info['MF'].fricke()]), ('Atkin-Lehner Eigenvalues', [info['MF'].atkinlehner()]), ] if dim > 1 and info['MF'].the_character() == "trivial": properties.append(("Possibly oldform", [])) info['properties'] = properties # The precision in set_table indicates which coefficients to set to zero. # For instance, if the imaginary part is less than the precision in # absolute value, then it is set to 0 in set_table. # The value 1e-9 is chosen arbitrarily, as recommended in issue #2076. info['MF'].set_table(prec=prec) cols = [{ "aaSorting": "asc", "sWidth": "10%", "bSortable": "true", "bSearchable": "false", "sType": "numeric" }] negc = info['MF'].table.get('negc', 0) for j in range(dim): if not negc: col = { "bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric" } cols.append(col) else: col1 = { "bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric" } col2 = { "bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric" } cols.append(col1) cols.append(col2) info['credit'] = info['MF'].contributor_name info['coeff_aoColumns'] = cols # json.dumps(cols) mwf_logger.debug("col={0}".format(cols)) return render_template("mwf_one_form.html", **info)
def evs_table(search, twodarray=False): DB = connect_db() indices = DB.find_Maass_form_id(search) table = [] nrows = 0 for fid in indices: f = WebMaassForm(DB, fid, get_coeffs=False) row = {} R = f.R N = f.level k = f.weight if R is None or N is None or k is None: continue row['R'] = R row['N'] = N if k == 0 or k == 1: row['k'] = int(k) else: row['k'] = k # j = f.get('Character',0) ## Now get the COnrey number. ## First the character if k == 0: # s+=url_for('characters.render_Dirichletwebpage',modulus=level,number=ch) row['ch'] = f.the_character() # conrey_character_name(N,chi) else: row['ch'] = "eta" st = f.symmetry if st == 1: st = "odd" elif st == 0: st = "even" else: st = "n/a" row['symmetry'] = st er = f.error if er > 0: er = "{0:1.0e}".format(er) else: er = "unknown" row['err'] = er dim = f.dim if dim is None: dim = 1 # "undefined" row['dim'] = dim numc = f.num_coeff row['numc'] = numc cev = f.cusp_evs row['fricke'] = 'n/a' row['cuspevs'] = 'n/a' if row['k'] == 0 and isinstance(cev, list): if len(cev) > 1: fricke = cev[1] row['fricke'] = fricke row['cuspevs'] = cev url = url_for('mwf.render_one_maass_waveform', maass_id=f._maassid) row['url'] = url nrows += 1 if twodarray: s = '<a href="{0}">{1}</a>'.format(row['url'], row['R']) rowr = [row['N'], row['k'], row['ch'], s, row['symmetry'], row['err'], row['dim'], row['numc'], row['fricke'], row['cuspevs']] table.append(rowr) else: # row=row.values() table.append(row) mwf_logger.debug("nrows:".format(nrows)) evs = {'table': {}} evs['table']['data'] = table evs['table']['nrows'] = nrows evs['table']['ncols'] = 10 evs['table']['colheads'] = [] knowls = ['mf.maass.mwf.level', 'mf.maass.mwf.weight', 'mf.maass.mwf.character', 'mf.maass.mwf.eigenvalue', 'mf.maass.mwf.symmetry', 'mf.maass.mwf.precision', 'mf.maass.mwf.dimension', 'mf.maass.mwf.ncoefficients', 'mf.maass.mwf.fricke', 'mf.maass.mwf.atkinlehner'] titles = ['Level', 'Weight', 'Char', 'Eigenvalue', 'Symmetry', 'Precision', 'Mult.', 'Coeff.', 'Fricke', 'Atkin-Lehner'] for i in range(10): evs['table']['colheads'].append((knowls[i], titles[i])) if 'limit' in search: search.pop('limit') if 'skip' in search: search.pop('skip') evs['totalrecords'] = DB.count(search) return evs
def render_one_maass_waveform_wp(info): r""" Render the webpage of one Maass waveform. """ info["check"] = [] DB = connect_db() maass_id = info['maass_id'] mwf_logger.debug("id1={0}".format(maass_id)) info['MF'] = WebMaassForm(DB, maass_id) level = info['MF'].level dim = info['MF'].dim numc = info['MF'].num_coeff if info['MF'].has_plot(): info['plotlink'] = url_for('mwf.plot_maassform', maass_id=maass_id) # Create the link to the L-function (put in '/L' at the beginning and '/' before '?' Llink = "/L" + url_for('mwf.render_one_maass_waveform', maass_id=maass_id) # + '/?db=' + info['db'] if dim == 1: info["friends"] = [("L-function", Llink)] bread = [('Maass waveforms', url_for('.render_maass_waveforms')), ('Of Level {0}'.format(level), url_for('.render_maass_waveforms', level=level))] # Navigation to previous and next form next_form_id = info['MF'].next_maassform_id() if next_form_id: next_data = ('next', r"$f_{\text next}$", url_for('mwf.render_one_maass_waveform', maass_id = next_form_id) ) else: next_data = ('','','') prev_form_id = info['MF'].prev_maassform_id() if prev_form_id: prev_data = ('previous', r"$f_{\text prev}$", url_for('mwf.render_one_maass_waveform', maass_id = prev_form_id) ) else: prev_data = ('','','') info['navi'] = ( prev_data, next_data ) info["downloads"] = [ ('All stored data of the form', url_for('mwf.download_maassform', maass_id=maass_id)) ] lenc = 20 mwf_logger.debug("count={0}".format(DB.count())) ch = info['MF'].character s = "\( \chi_{" + str(level) + "}(" + str(ch) + ",\cdot) \)" # is it possible to get the knowls into the properties? knowls = knowls = {'level': 'mf.maass.mwf.level', 'weight': 'mf.maass.mwf.weight', 'char': 'mf.maass.mwf.character', 'R': 'mf.maass.mwf.eigenvalue', 'sym': 'mf.maass.mwf.symmetry', 'prec': 'mf.maass.mwf.precision', 'mult': 'mf.maass.mwf.dimension', 'ncoeff': 'mf.maass.mwf.ncoefficients', 'fricke': 'mf.maass.mwf.fricke', 'atkinlehner': 'mf.maass.mwf.atkinlehner'} properties = [('Level', [info['MF'].level]), ('Symmetry', [info['MF'].even_odd()]), ('Weight', [info['MF'].the_weight()]), ('Character', [s]), ('Multiplicity', [dim]), ('Precision', [info['MF'].precision()]), ('Fricke Eigenvalue', [info['MF'].fricke()]), ('Atkin-Lehner Eigenvalues', [info['MF'].atkinlehner()]), ] if dim > 1 and info['MF'].the_character() == "trivial": properties.append(("Possibly oldform", [])) info['title'] = "Maass form on \(\Gamma_{0}( %s )\) with $R=%s$" % (info['MF'].level, info['MF'].R) info['bread'] = bread info['properties2'] = properties info['MF'].set_table() cols = [{"aaSorting": "asc", "sWidth": "10%", "bSortable": "true", "bSearchable": "false", "sType": "numeric"}] negc = info['MF'].table.get('negc', 0) for j in range(dim): if not negc: col = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric"} cols.append(col) else: col1 = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric"} col2 = {"bSortable": "false", "bSearchable": "true", "sClass": "alignLeft", "fnRender": "text-align:left", "sType": "numeric"} cols.append(col1) cols.append(col2) info['credit'] = info['MF'].contributor_name info['coeff_aoColumns'] = cols # json.dumps(cols) mwf_logger.debug("col={0}".format(cols)) # coeffurl=url_for('mwf.render_one_maass_waveform',maass_id=maass_id,download='coefficients') # info['downloads'] = [('Coefficients', coeffurl) ] return render_template("mwf_one_form.html", **info)
def download_maassform(maass_id): DB = connect_db() MF = WebMaassForm(DB, maass_id) response = make_response(MF.download_text()) response.headers['Content-type'] = 'text/plain' return response