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How to use is_upper method in assertpy
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db.py
Source:db.py 
1# -*- coding: utf-8 -*-2# -------------------------------------------------------------------------3# AppConfig configuration made easy. Look inside private/appconfig.ini4# Auth is for authenticaiton and access control5# -------------------------------------------------------------------------6from gluon.contrib.appconfig import AppConfig7from gluon.tools import Auth8# -------------------------------------------------------------------------9# This scaffolding model makes your app work on Google App Engine too10# File is released under public domain and you can use without limitations11# -------------------------------------------------------------------------12if request.global_settings.web2py_version < "2.15.5":13 raise HTTP(500, "Requires web2py 2.15.5 or newer")14# -------------------------------------------------------------------------15# if SSL/HTTPS is properly configured and you want all HTTP requests to16# be redirected to HTTPS, uncomment the line below:17# -------------------------------------------------------------------------18# request.requires_https()19# -------------------------------------------------------------------------20# once in production, remove reload=True to gain full speed21# -------------------------------------------------------------------------22configuration = AppConfig(reload=True)23if not request.env.web2py_runtime_gae:24 # ---------------------------------------------------------------------25 # if NOT running on Google App Engine use SQLite or other DB26 # ---------------------------------------------------------------------27 db = DAL(configuration.get('db.uri'),28 pool_size=configuration.get('db.pool_size'),29 migrate_enabled=configuration.get('db.migrate'),30 check_reserved=['all'])31else:32 # ---------------------------------------------------------------------33 # connect to Google BigTable (optional 'google:datastore://namespace')34 # ---------------------------------------------------------------------35 db = DAL('google:datastore+ndb')36 # ---------------------------------------------------------------------37 # store sessions and tickets there38 # ---------------------------------------------------------------------39 session.connect(request, response, db=db)40 # ---------------------------------------------------------------------41 # or store session in Memcache, Redis, etc.42 # from gluon.contrib.memdb import MEMDB43 # from google.appengine.api.memcache import Client44 # session.connect(request, response, db = MEMDB(Client()))45 # ---------------------------------------------------------------------46# -------------------------------------------------------------------------47# by default give a view/generic.extension to all actions from localhost48# none otherwise. a pattern can be 'controller/function.extension'49# -------------------------------------------------------------------------50response.generic_patterns = [] 51if request.is_local and not configuration.get('app.production'):52 response.generic_patterns.append('*')53# -------------------------------------------------------------------------54# choose a style for forms55# -------------------------------------------------------------------------56response.formstyle = 'bootstrap4_inline'57response.form_label_separator = ''58# -------------------------------------------------------------------------59# (optional) optimize handling of static files60# -------------------------------------------------------------------------61# response.optimize_css = 'concat,minify,inline'62# response.optimize_js = 'concat,minify,inline'63# -------------------------------------------------------------------------64# (optional) static assets folder versioning65# -------------------------------------------------------------------------66# response.static_version = '0.0.0'67# -------------------------------------------------------------------------68# Here is sample code if you need for69# - email capabilities70# - authentication (registration, login, logout, ... )71# - authorization (role based authorization)72# - services (xml, csv, json, xmlrpc, jsonrpc, amf, rss)73# - old style crud actions74# (more options discussed in gluon/tools.py)75# -------------------------------------------------------------------------76# host names must be a list of allowed host names (glob syntax allowed)77auth = Auth(db, host_names=configuration.get('host.names'))78# -------------------------------------------------------------------------79# create all tables needed by auth, maybe add a list of extra fields80# -------------------------------------------------------------------------81auth.settings.extra_fields['auth_user'] = []82auth.define_tables(username=False, signature=False)83# -------------------------------------------------------------------------84# configure email85# -------------------------------------------------------------------------86mail = auth.settings.mailer87mail.settings.server = 'logging' if request.is_local else configuration.get('smtp.server')88mail.settings.sender = configuration.get('smtp.sender')89mail.settings.login = configuration.get('smtp.login')90mail.settings.tls = configuration.get('smtp.tls') or False91mail.settings.ssl = configuration.get('smtp.ssl') or False92# -------------------------------------------------------------------------93# configure auth policy94# -------------------------------------------------------------------------95auth.settings.registration_requires_verification = False96auth.settings.registration_requires_approval = False97auth.settings.reset_password_requires_verification = True98# ------------------------------------------------------------------------- 99# read more at http://dev.w3.org/html5/markup/meta.name.html 100# -------------------------------------------------------------------------101response.meta.author = configuration.get('app.author')102response.meta.description = configuration.get('app.description')103response.meta.keywords = configuration.get('app.keywords')104response.meta.generator = configuration.get('app.generator')105response.show_toolbar = configuration.get('app.toolbar')106# -------------------------------------------------------------------------107# your http://google.com/analytics id 108# -------------------------------------------------------------------------109response.google_analytics_id = configuration.get('google.analytics_id')110# -------------------------------------------------------------------------111# maybe use the scheduler112# -------------------------------------------------------------------------113if configuration.get('scheduler.enabled'):114 from gluon.scheduler import Scheduler115 scheduler = Scheduler(db, heartbeat=configuration.get('scheduler.heartbeat'))116db.define_table('empresa',117 Field('proprietario','reference auth_user', label='Proprietario', writable=False, readable=False, notnull=True, default=1),118 Field('razaosocial', 'string', label='Razão Social',requires = IS_UPPER()),119 Field('nomefantasia', 'string', label='Nome Fantasia',requires = IS_UPPER()),120 Field('cnpj', 'string', label='CNPJ',default="00.000.000/0001-00",requires = IS_UPPER()),121 Field('inscricaoestarual', 'string',default="00000", label='Insc. Est',requires = IS_UPPER()),122 Field('inscricaomunicipal', 'string',default="00000", label='Insc. Mun',requires = IS_UPPER()),123 Field('crt', 'string', label='CRT',default="00000",requires = IS_UPPER()),124 #endereco125 Field('cep', 'string', label='CEP',default="60000-000",requires = IS_UPPER()),126 Field('lougradouro', 'string', label='Lougradouro',default="Rua",requires = IS_UPPER()),127 Field('numero', 'string', label='Numero',default="0",requires = IS_UPPER()),128 Field('bairro', 'string', label='Bairro',default="Centro",requires = IS_UPPER()),129 Field('uf', 'string', label='UF',default="CE",requires = IS_UPPER()),130 Field('cidade', 'string', label='Cidade', default='Juazeiro do Norte',requires = IS_UPPER()),131 Field('complemento', 'string', label='Complemento',default="Sem Complemento",requires = IS_UPPER()),132 #contato133 Field('email', 'string', label='Email',default="sem@email.com",requires = IS_UPPER()),134 Field('telefone', 'string', label='Telefone',default="(88)3500-0000",requires = IS_UPPER()),135 Field('celular', 'string', label='Celular',default="(88)99000-0000",requires = IS_UPPER()),136 #quantidade dependendo do pacote que contrate137 Field('limite_clientes', 'integer', label='L Clientes', writable=False, readable=False, default=1000),138 Field('limite_logins', 'integer', label='L Logins', writable=False, readable=False, default=4),139 Field('limite_produtos', 'integer', label='L Produtos', writable=False, readable=False, default=200),140 Field('limite_fornecedores', 'integer', label='L Fornecedores', writable=False, readable=False, default=200),141 Field('limite_vendas', 'integer', label='L Vendas', writable=False, readable=False, default=2000),142 Field('data_bloqueio', 'date', label="Data Bloqueio", writable=False, readable=False, default=request.now, requires = IS_DATE(format=('%d-%m-%Y')), notnull=True),143 Field('ativo', 'boolean', writable=False, readable=False, default=True),144 auth.signature,145 format='%(nomefantasia)s')146db.define_table('usuario_empresa',147 Field('usuario','reference auth_user', writable=False, readable=False, label='Usuario'),148 Field('empresa','reference empresa', writable=False, readable=False, label='empresa'),149 Field('nome', 'string', label='Nome',requires = IS_UPPER()),150 Field('tipo', 'string', label='tipo',default='Representante'),151 Field('comissao', 'double', label='%Comissão', writable=True, readable=True, notnull=True, default=10),152 Field('ativo', 'boolean', writable=False, readable=False, default=True),153 format='%(nome)s')154db.define_table('pessoa',155 Field('empresa','reference empresa', label='empresa', writable=False, readable=False),156 Field('representante','reference usuario_empresa', writable=True, readable=True, label='Representante'),157 Field('tipo', 'string', label='Tipo', writable=False, readable=False, default='FÃsica',requires = IS_UPPER()),158 Field('razaosocial_nome', 'string', label='RS/NC',notnull=True ,requires=[IS_UPPER(),IS_LENGTH(minsize=12, error_message='Nome muito pequeno')]),159 Field('sexo', 'string', label='Sexo', default='M',notnull=True, writable=False, readable=False ,requires = IS_UPPER()),160 Field('estado_civil', 'string', label='Est. Civil',notnull=True , writable=False, readable=False, default='Solteiro(a)',requires = IS_UPPER()),161 Field('apelido_nome_fantasia', 'string', label='AP/NF', writable=False, readable=False,requires = IS_UPPER()),162 Field('cpf', 'string', label='CPF/CNPJ',notnull=True ,requires = IS_UPPER()),163 Field('org_espedidor_cpf', 'string', default='SSP', writable=False, readable=False,notnull=True , label='org esp.',requires = IS_UPPER()),164 Field('rg', 'string', label='RG',notnull=True ,requires = IS_UPPER()),165 Field('org_espedidor_rg', 'string', default='SSP', writable=False, readable=False,notnull=True , label='org esp.',requires = IS_UPPER()),166 Field('cep', 'string', label='CEP', default='63050-000',requires = IS_UPPER()),167 Field('lougradouro', 'string', label='Lougradouro',requires = IS_UPPER()),168 Field('numero', 'string', label='Numero',requires = IS_UPPER()),169 Field('bairro', 'string', default='Centro', label='Bairro',requires = IS_UPPER()),170 Field('uf', 'string', label='UF', default='CE',requires = IS_UPPER()),171 Field('cidade', 'string', label='Cidade', default='Juazeiro do Norte',requires = IS_UPPER()),172 Field('complemento', 'string', label='Complemento',requires = IS_UPPER()),173 Field('email', 'string', label='Email', default='sem@email.com',requires = IS_EMAIL(error_message='Email Invalido!')),174 Field('telefone', 'string', label='Telefone', default='(88)3555-5555',requires = IS_UPPER()),175 Field('celular', 'string',notnull=True , default='(88)98888-8888', label='Celular',requires = IS_UPPER()),176 Field('ativo', 'boolean', writable=False, readable=False, default=True),177 auth.signature,178 format='%(razaosocial_nome)s')179db.define_table('fornecedor',180 Field('empresa','reference empresa', writable=False, readable=False, label='empresa'),181 Field('nome', 'string', label='Nome',requires = IS_UPPER()),182 Field('descricao', 'string', label='Descrição',requires = IS_UPPER()),183 Field('telefone', 'string', label='Telefone',default="(88)3500-0000",requires = IS_UPPER()),184 Field('celular', 'string', label='Celular',default="(88)99000-0000",requires = IS_UPPER()),185 Field('total_compra', 'double', label='Total Compras', writable=False, readable=False, notnull=True, default=0),186 Field('total_pago', 'double', label='Total Pago', writable=False, readable=False, notnull=True, default=0),187 Field('total_devolvido', 'double', label='Total Devolvido', writable=False, readable=False, notnull=True, default=0),188 Field('ativo', 'boolean', writable=False, readable=False, default=True),189 auth.signature,190 format='%(nome)s')191db.define_table('produto',192 Field('empresa','reference empresa', writable=False, readable=False, label='Empresa'),193 Field('fornecedor','reference fornecedor', writable=True, readable=True, label='Fornecedor'),194 Field('descricao', 'string', label='Descrição',requires = IS_UPPER()),195 Field('quant_estoque', 'integer', label='Q Estoque', writable=False, readable=False, default=0),196 Field('custo_unitario', 'double', label='Custo Unitario', writable=True, readable=True, notnull=True, default=0),197 Field('preco_unitario', 'double', label='Preço Unitario', writable=True, readable=True, notnull=True, default=0),198 Field('ativo', 'boolean', writable=False, readable=False, default=True),199 auth.signature,...
test_decompositions.py
Source:test_decompositions.py
1from sympy import Rational, I, expand_mul, S, simplify2from sympy.matrices.matrices import NonSquareMatrixError3from sympy.matrices import Matrix, zeros, eye, SparseMatrix4from sympy.abc import x, y, z5from sympy.testing.pytest import raises6from sympy.testing.matrices import allclose7def test_LUdecomp():8 testmat = Matrix([[0, 2, 5, 3],9 [3, 3, 7, 4],10 [8, 4, 0, 2],11 [-2, 6, 3, 4]])12 L, U, p = testmat.LUdecomposition()13 assert L.is_lower14 assert U.is_upper15 assert (L*U).permute_rows(p, 'backward') - testmat == zeros(4)16 testmat = Matrix([[6, -2, 7, 4],17 [0, 3, 6, 7],18 [1, -2, 7, 4],19 [-9, 2, 6, 3]])20 L, U, p = testmat.LUdecomposition()21 assert L.is_lower22 assert U.is_upper23 assert (L*U).permute_rows(p, 'backward') - testmat == zeros(4)24 # non-square25 testmat = Matrix([[1, 2, 3],26 [4, 5, 6],27 [7, 8, 9],28 [10, 11, 12]])29 L, U, p = testmat.LUdecomposition(rankcheck=False)30 assert L.is_lower31 assert U.is_upper32 assert (L*U).permute_rows(p, 'backward') - testmat == zeros(4, 3)33 # square and singular34 testmat = Matrix([[1, 2, 3],35 [2, 4, 6],36 [4, 5, 6]])37 L, U, p = testmat.LUdecomposition(rankcheck=False)38 assert L.is_lower39 assert U.is_upper40 assert (L*U).permute_rows(p, 'backward') - testmat == zeros(3)41 M = Matrix(((1, x, 1), (2, y, 0), (y, 0, z)))42 L, U, p = M.LUdecomposition()43 assert L.is_lower44 assert U.is_upper45 assert (L*U).permute_rows(p, 'backward') - M == zeros(3)46 mL = Matrix((47 (1, 0, 0),48 (2, 3, 0),49 ))50 assert mL.is_lower is True51 assert mL.is_upper is False52 mU = Matrix((53 (1, 2, 3),54 (0, 4, 5),55 ))56 assert mU.is_lower is False57 assert mU.is_upper is True58 # test FF LUdecomp59 M = Matrix([[1, 3, 3],60 [3, 2, 6],61 [3, 2, 2]])62 P, L, Dee, U = M.LUdecompositionFF()63 assert P*M == L*Dee.inv()*U64 M = Matrix([[1, 2, 3, 4],65 [3, -1, 2, 3],66 [3, 1, 3, -2],67 [6, -1, 0, 2]])68 P, L, Dee, U = M.LUdecompositionFF()69 assert P*M == L*Dee.inv()*U70 M = Matrix([[0, 0, 1],71 [2, 3, 0],72 [3, 1, 4]])73 P, L, Dee, U = M.LUdecompositionFF()74 assert P*M == L*Dee.inv()*U75 # issue 1579476 M = Matrix(77 [[1, 2, 3],78 [4, 5, 6],79 [7, 8, 9]]80 )81 raises(ValueError, lambda : M.LUdecomposition_Simple(rankcheck=True))82def test_QR():83 A = Matrix([[1, 2], [2, 3]])84 Q, S = A.QRdecomposition()85 R = Rational86 assert Q == Matrix([87 [ 5**R(-1, 2), (R(2)/5)*(R(1)/5)**R(-1, 2)],88 [2*5**R(-1, 2), (-R(1)/5)*(R(1)/5)**R(-1, 2)]])89 assert S == Matrix([[5**R(1, 2), 8*5**R(-1, 2)], [0, (R(1)/5)**R(1, 2)]])90 assert Q*S == A91 assert Q.T * Q == eye(2)92 A = Matrix([[1, 1, 1], [1, 1, 3], [2, 3, 4]])93 Q, R = A.QRdecomposition()94 assert Q.T * Q == eye(Q.cols)95 assert R.is_upper96 assert A == Q*R97 A = Matrix([[12, 0, -51], [6, 0, 167], [-4, 0, 24]])98 Q, R = A.QRdecomposition()99 assert Q.T * Q == eye(Q.cols)100 assert R.is_upper101 assert A == Q*R102def test_QR_non_square():103 # Narrow (cols < rows) matrices104 A = Matrix([[9, 0, 26], [12, 0, -7], [0, 4, 4], [0, -3, -3]])105 Q, R = A.QRdecomposition()106 assert Q.T * Q == eye(Q.cols)107 assert R.is_upper108 assert A == Q*R109 A = Matrix([[1, -1, 4], [1, 4, -2], [1, 4, 2], [1, -1, 0]])110 Q, R = A.QRdecomposition()111 assert Q.T * Q == eye(Q.cols)112 assert R.is_upper113 assert A == Q*R114 A = Matrix(2, 1, [1, 2])115 Q, R = A.QRdecomposition()116 assert Q.T * Q == eye(Q.cols)117 assert R.is_upper118 assert A == Q*R119 # Wide (cols > rows) matrices120 A = Matrix([[1, 2, 3], [4, 5, 6]])121 Q, R = A.QRdecomposition()122 assert Q.T * Q == eye(Q.cols)123 assert R.is_upper124 assert A == Q*R125 A = Matrix([[1, 2, 3, 4], [1, 4, 9, 16], [1, 8, 27, 64]])126 Q, R = A.QRdecomposition()127 assert Q.T * Q == eye(Q.cols)128 assert R.is_upper129 assert A == Q*R130 A = Matrix(1, 2, [1, 2])131 Q, R = A.QRdecomposition()132 assert Q.T * Q == eye(Q.cols)133 assert R.is_upper134 assert A == Q*R135def test_QR_trivial():136 # Rank deficient matrices137 A = Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])138 Q, R = A.QRdecomposition()139 assert Q.T * Q == eye(Q.cols)140 assert R.is_upper141 assert A == Q*R142 A = Matrix([[1, 1, 1], [2, 2, 2], [3, 3, 3], [4, 4, 4]])143 Q, R = A.QRdecomposition()144 assert Q.T * Q == eye(Q.cols)145 assert R.is_upper146 assert A == Q*R147 A = Matrix([[1, 1, 1], [2, 2, 2], [3, 3, 3], [4, 4, 4]]).T148 Q, R = A.QRdecomposition()149 assert Q.T * Q == eye(Q.cols)150 assert R.is_upper151 assert A == Q*R152 # Zero rank matrices153 A = Matrix([[0, 0, 0]])154 Q, R = A.QRdecomposition()155 assert Q.T * Q == eye(Q.cols)156 assert R.is_upper157 assert A == Q*R158 A = Matrix([[0, 0, 0]]).T159 Q, R = A.QRdecomposition()160 assert Q.T * Q == eye(Q.cols)161 assert R.is_upper162 assert A == Q*R163 A = Matrix([[0, 0, 0], [0, 0, 0]])164 Q, R = A.QRdecomposition()165 assert Q.T * Q == eye(Q.cols)166 assert R.is_upper167 assert A == Q*R168 A = Matrix([[0, 0, 0], [0, 0, 0]]).T169 Q, R = A.QRdecomposition()170 assert Q.T * Q == eye(Q.cols)171 assert R.is_upper172 assert A == Q*R173 # Rank deficient matrices with zero norm from beginning columns174 A = Matrix([[0, 0, 0], [1, 2, 3]]).T175 Q, R = A.QRdecomposition()176 assert Q.T * Q == eye(Q.cols)177 assert R.is_upper178 assert A == Q*R179 A = Matrix([[0, 0, 0, 0], [1, 2, 3, 4], [0, 0, 0, 0]]).T180 Q, R = A.QRdecomposition()181 assert Q.T * Q == eye(Q.cols)182 assert R.is_upper183 assert A == Q*R184 A = Matrix([[0, 0, 0, 0], [1, 2, 3, 4], [0, 0, 0, 0], [2, 4, 6, 8]]).T185 Q, R = A.QRdecomposition()186 assert Q.T * Q == eye(Q.cols)187 assert R.is_upper188 assert A == Q*R189 A = Matrix([[0, 0, 0], [0, 0, 0], [0, 0, 0], [1, 2, 3]]).T190 Q, R = A.QRdecomposition()191 assert Q.T * Q == eye(Q.cols)192 assert R.is_upper193 assert A == Q*R194def test_QR_float():195 A = Matrix([[1, 1], [1, 1.01]])196 Q, R = A.QRdecomposition()197 assert allclose(Q * R, A)198 assert allclose(Q * Q.T, Matrix.eye(2))199 assert allclose(Q.T * Q, Matrix.eye(2))200 A = Matrix([[1, 1], [1, 1.001]])201 Q, R = A.QRdecomposition()202 assert allclose(Q * R, A)203 assert allclose(Q * Q.T, Matrix.eye(2))204 assert allclose(Q.T * Q, Matrix.eye(2))205def test_LUdecomposition_Simple_iszerofunc():206 # Test if callable passed to matrices.LUdecomposition_Simple() as iszerofunc keyword argument is used inside207 # matrices.LUdecomposition_Simple()208 magic_string = "I got passed in!"209 def goofyiszero(value):210 raise ValueError(magic_string)211 try:212 lu, p = Matrix([[1, 0], [0, 1]]).LUdecomposition_Simple(iszerofunc=goofyiszero)213 except ValueError as err:214 assert magic_string == err.args[0]215 return216 assert False217def test_LUdecomposition_iszerofunc():218 # Test if callable passed to matrices.LUdecomposition() as iszerofunc keyword argument is used inside219 # matrices.LUdecomposition_Simple()220 magic_string = "I got passed in!"221 def goofyiszero(value):222 raise ValueError(magic_string)223 try:224 l, u, p = Matrix([[1, 0], [0, 1]]).LUdecomposition(iszerofunc=goofyiszero)225 except ValueError as err:226 assert magic_string == err.args[0]227 return228 assert False229def test_LDLdecomposition():230 raises(NonSquareMatrixError, lambda: Matrix((1, 2)).LDLdecomposition())231 raises(ValueError, lambda: Matrix(((1, 2), (3, 4))).LDLdecomposition())232 raises(ValueError, lambda: Matrix(((5 + I, 0), (0, 1))).LDLdecomposition())233 raises(ValueError, lambda: Matrix(((1, 5), (5, 1))).LDLdecomposition())234 raises(ValueError, lambda: Matrix(((1, 2), (3, 4))).LDLdecomposition(hermitian=False))235 A = Matrix(((1, 5), (5, 1)))236 L, D = A.LDLdecomposition(hermitian=False)237 assert L * D * L.T == A238 A = Matrix(((25, 15, -5), (15, 18, 0), (-5, 0, 11)))239 L, D = A.LDLdecomposition()240 assert L * D * L.T == A241 assert L.is_lower242 assert L == Matrix([[1, 0, 0], [ Rational(3, 5), 1, 0], [Rational(-1, 5), Rational(1, 3), 1]])243 assert D.is_diagonal()244 assert D == Matrix([[25, 0, 0], [0, 9, 0], [0, 0, 9]])245 A = Matrix(((4, -2*I, 2 + 2*I), (2*I, 2, -1 + I), (2 - 2*I, -1 - I, 11)))246 L, D = A.LDLdecomposition()247 assert expand_mul(L * D * L.H) == A248 assert L.expand() == Matrix([[1, 0, 0], [I/2, 1, 0], [S.Half - I/2, 0, 1]])249 assert D.expand() == Matrix(((4, 0, 0), (0, 1, 0), (0, 0, 9)))250 raises(NonSquareMatrixError, lambda: SparseMatrix((1, 2)).LDLdecomposition())251 raises(ValueError, lambda: SparseMatrix(((1, 2), (3, 4))).LDLdecomposition())252 raises(ValueError, lambda: SparseMatrix(((5 + I, 0), (0, 1))).LDLdecomposition())253 raises(ValueError, lambda: SparseMatrix(((1, 5), (5, 1))).LDLdecomposition())254 raises(ValueError, lambda: SparseMatrix(((1, 2), (3, 4))).LDLdecomposition(hermitian=False))255 A = SparseMatrix(((1, 5), (5, 1)))256 L, D = A.LDLdecomposition(hermitian=False)257 assert L * D * L.T == A258 A = SparseMatrix(((25, 15, -5), (15, 18, 0), (-5, 0, 11)))259 L, D = A.LDLdecomposition()260 assert L * D * L.T == A261 assert L.is_lower262 assert L == Matrix([[1, 0, 0], [ Rational(3, 5), 1, 0], [Rational(-1, 5), Rational(1, 3), 1]])263 assert D.is_diagonal()264 assert D == Matrix([[25, 0, 0], [0, 9, 0], [0, 0, 9]])265 A = SparseMatrix(((4, -2*I, 2 + 2*I), (2*I, 2, -1 + I), (2 - 2*I, -1 - I, 11)))266 L, D = A.LDLdecomposition()267 assert expand_mul(L * D * L.H) == A268 assert L == Matrix(((1, 0, 0), (I/2, 1, 0), (S.Half - I/2, 0, 1)))269 assert D == Matrix(((4, 0, 0), (0, 1, 0), (0, 0, 9)))270def test_pinv_succeeds_with_rank_decomposition_method():271 # Test rank decomposition method of pseudoinverse succeeding272 As = [Matrix([273 [61, 89, 55, 20, 71, 0],274 [62, 96, 85, 85, 16, 0],275 [69, 56, 17, 4, 54, 0],276 [10, 54, 91, 41, 71, 0],277 [ 7, 30, 10, 48, 90, 0],278 [0,0,0,0,0,0]])]279 for A in As:280 A_pinv = A.pinv(method="RD")281 AAp = A * A_pinv282 ApA = A_pinv * A283 assert simplify(AAp * A) == A284 assert simplify(ApA * A_pinv) == A_pinv285 assert AAp.H == AAp286 assert ApA.H == ApA287def test_rank_decomposition():288 a = Matrix(0, 0, [])289 c, f = a.rank_decomposition()290 assert f.is_echelon291 assert c.cols == f.rows == a.rank()292 assert c * f == a293 a = Matrix(1, 1, [5])294 c, f = a.rank_decomposition()295 assert f.is_echelon296 assert c.cols == f.rows == a.rank()297 assert c * f == a298 a = Matrix(3, 3, [1, 2, 3, 1, 2, 3, 1, 2, 3])299 c, f = a.rank_decomposition()300 assert f.is_echelon301 assert c.cols == f.rows == a.rank()302 assert c * f == a303 a = Matrix([304 [0, 0, 1, 2, 2, -5, 3],305 [-1, 5, 2, 2, 1, -7, 5],306 [0, 0, -2, -3, -3, 8, -5],307 [-1, 5, 0, -1, -2, 1, 0]])308 c, f = a.rank_decomposition()309 assert f.is_echelon310 assert c.cols == f.rows == a.rank()...
mac_utils.py
Source:mac_utils.py
1mac_chrs = [2 "0", "1", "2", "3", "4", "5", "6", "7", "8", "9",3 "a", "b", "c", "d", "e", "f",4 "A", "B", "C", "D", "E", "F",5]6def get_mac_addr(mac_address, concat_str="-", is_upper=True, part=6):7 """8 è·åMacå°åï¼é»è®¤6段å¼å¤§åï¼9 """10 mac_address = mac_address.replace("-", "").replace(".", "").replace(":", "").replace(" ", "").strip()11 if len(mac_address) != 12:12 return ""13 if not all([x in mac_chrs for x in mac_address]):14 return ""15 step = 12 // part16 new_mac = concat_str.join([mac_address[x: x + step] for x in range(0, len(mac_address), step)])17 if is_upper:18 return new_mac.upper()19 else:20 return new_mac.lower()21if __name__ == '__main__':22 print("6段å¼å°åï¼", get_mac_addr("12-34-56-78-90-AB", concat_str=".", is_upper=False, part=6))23 print("6段å¼å¤§åï¼", get_mac_addr("12-34-56-78-90-AB", concat_str=".", is_upper=True, part=6))24 print("3段å¼å°åï¼", get_mac_addr("12-34-56-78-90-AB", concat_str=".", is_upper=False, part=3))25 print("3段å¼å¤§åï¼", get_mac_addr("12-34-56-78-90-AB", concat_str=".", is_upper=True, part=3))26 print("6段å¼å°åï¼", get_mac_addr("1234.5678.90AB", concat_str="-", is_upper=False, part=6))27 print("6段å¼å¤§åï¼", get_mac_addr("1234.5678.90AB", concat_str="-", is_upper=True, part=6))28 print("3段å¼å°åï¼", get_mac_addr("1234.5678.90AB", concat_str="-", is_upper=False, part=3))...
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