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airy_aibessel_j0bessel_j1bessel_y0bessel_y1chebyshev_polynomial_tchebyshev_polynomial_uchebyshev_polynomial_vchebyshev_polynomial_wentrerferfcerfcxerfinvgammaincgammaincchermite_polynomial_hhermite_polynomial_hei0ei1i1elaguerre_polynomial_llegendre_polynomial_plog_ndtrlogitmodified_bessel_i0modified_bessel_i1modified_bessel_k0modified_bessel_k1multigammalnndtrndtripolygammascaled_modified_bessel_k0scaled_modified_bessel_k1shifted_chebyshev_polynomial_tshifted_chebyshev_polynomial_ushifted_chebyshev_polynomial_vshifted_chebyshev_polynomial_wsincSpecialBinaryOptionsSpecialLogitOptionsSpecialPolynomialOptionsSpecialSoftmaxOptionsSpecialUnaryOptionsspherical_bessel_j0xlog1pyzeta
absacosacoshAdaptivePool1dShapeAdaptivePool2dShapeaddaddbmmAddbmmOptionsaddcdivAddcdivOptionsaddcmulAddcmulOptionsaddmmAddmmOptionsaddmvAddmvOptionsaddrAddrOptionsadjointallallcloseAllcloseOptionsAlphaBetaOptionsamaxaminaminmaxAminmaxOptionsangleanyapplyOutarangeare_deterministic_algorithms_enabledargmaxargminargsortargwhereas_stridedas_tensorasinasinhAssertNoShapeErrorAssertNotErrorAsStridedOptionsAtat_error_index_out_of_boundsatanatan2atanhatleast_1datleast_2datleast_3dAtShapeautocast_decrement_nestingautocast_increment_nestingautograd_gradient_mismatch_errorautograd_not_registered_errorAutogradConfigAutogradDeviceAutogradDTypeAutogradEntryAutogradHandleAutogradHandleImplAxesRecordBackwardFnbaddbmmBaddbmmOptionsbartlett_windowBaseKernelConfigbatch_dimensions_do_not_match_errorbernoulliBernoulliOptionsBinaryBackwardFnBinaryBroadcastResultBinaryDTypeBinaryKernelConfigCPUBinaryKernelCPUBinaryOpConfigBinaryOpNamesBinaryOpSchemaBinaryOptionsbincountBincountOptionsbitwise_andbitwise_left_shiftbitwise_notbitwise_orbitwise_right_shiftbitwise_xorblackman_windowblock_diagbmmBooleanDTypeRulebroadcast_error_incompatible_dimensionsbroadcast_shapesbroadcast_tensorsbroadcast_toBroadcastShapeBroadcastShapeRulebroadcastShapesbucketizeBucketizeOptionsBufferUsagebuildEinopsErrorbuildErrorMessagecanBroadcastTocartesian_prodcatCatOptionsCatShapeCauchyOptionscdistCdistOptionsceilceluCeluFunctionalOptionschain_matmulCheckShapeErrorCholeskyShapechunkchunk_error_dim_out_of_rangeChunkOptionsclampClampOptionsclear_autocast_cacheclearEinopsCacheclearEinsumCacheclonecolumn_stackcombinationsCombinationsOptionscompiled_with_cxx11_abicomplexconjconj_physicalcontiguousConv1dShapeConv2dShapeConv3dShapeConvTranspose2dShapecopysigncorrcoefcoscoshcount_nonzeroCountNonzeroOptionscovcoverage_reportcoverageReportCoverageReportCovOptionsCPUForwardFnCPUKernelConfigCPUKernelEntryCPUOnlyResultCPUTensorDatacreateCumExtremeResultcreateTorchCreationOpSchemaCumExtremeResultcummaxcummincumprodCumShapecumsumcumulative_trapezoidCumulativeOptionsCumulativeOptionsWithDimdeg2raddetachDeterministicOptionsDetShapeDevicedevice_error_requiresDeviceBufferDeviceCapabilitiesDeviceCheckedResultDeviceConfigDeviceContextDeviceEntryDeviceHandleDeviceInputDeviceOptionsDeviceRegistryDeviceTypediagdiag_embedDiagEmbedOptionsdiagflatDiagflatOptionsDiagFlatOptionsdiagonal_scatterDiagonalOptionsDiagonalScatterOptionsDiagOptionsDiagShapediffDiffOptionsdigammadimension_error_out_of_rangeDispatchConfigdistDistOptionsdivdotDotShapeRuleDoubleDoubleDimdropoutDropoutFunctionalOptionsdsplitdstackDTypedtype_already_registered_errordtype_components_mismatch_errordtype_not_found_errorDTypeComponentsDTypeConfigDTypeCoverageReportDTypeDisplayConfigDTypeEntryDTypeHandleDTypeHandleImplDTypeInfoDTypeRegistryDTypeRuleDTypeSerializationConfigDynamicShapeEigShapeeinops_error_ambiguous_decompositioneinops_error_anonymous_in_outputeinops_error_dimension_mismatcheinops_error_invalid_patterneinops_error_reduce_undefined_outputeinops_error_repeat_missing_sizeeinops_error_undefined_axiseinsumeinsum_error_dimension_mismatcheinsum_error_index_out_of_rangeeinsum_error_invalid_equationeinsum_error_invalid_sublist_elementeinsum_error_operand_count_mismatcheinsum_error_subscript_rank_mismatcheinsum_error_unknown_output_indexEinsumOptionsEinsumOutputShapeEllipsiseluelu_EluFunctionalOptionsembedding_bag_error_requires_2d_inputemptyempty_cacheempty_likeeqequalerferfcerfinvexpexp2expandexpand_asexpand_error_incompatibleExpandShapeexpm1ExponentialOptionseyeEyeOptionsfftFFTOptionsfindKernelWithPredicatefindSimilarPatternsflattenFlattenOptionsFlattenShapeflipflip_error_dim_out_of_rangefliplrFlipShapeflipudfloat_powerFloatDTypeRulefloorfloor_dividefmaxfminfmodformatEquationErrorformatShapefracfrexpfrombufferfullfull_likefunction_already_registered_errorFunctionConfigFunctionEntryFunctionHandlegathergather_error_dim_out_of_rangeGatherShapegcdgegeluGeometricOptionsget_autocast_cpu_dtypeget_autocast_gpu_dtypeget_autocast_ipu_dtypeget_autocast_xla_dtypeget_default_deviceget_default_dtypeget_deterministic_debug_modeget_device_configget_device_contextget_device_moduleget_dtype_infoget_file_pathget_float32_matmul_precisionget_num_interop_threadsget_num_threadsget_op_infoget_printoptionsget_real_dtypeget_rng_stategetAutogradgetDTypegetEinopsCacheSizegetEinsumCacheSizegetFunctiongetKernelgetMethodgetOpInfoGetOpKindGetOpSchemagetScalarKernelgluGluFunctionalOptionsGradContextGradFnGradientsForgtHalfHalfDimhamming_windowhann_windowhardshrinkhardsigmoidhardswishhardtanhhardtanh_HardtanhFunctionalOptionshas_autogradhas_devicehas_dtypehas_kernelhasAutogradhasDTypehasFunctionhasKernelhasMethodhasScalarKernelHasShapeErrorheavisidehistcHistcOptionshistogramHistogramOptionsHistogramResulthsplithstackhypoti0IdentityShapeifftimagindex_addindex_copyindex_fillindex_putindex_reduceindex_selectindex_select_error_dim_out_of_rangeIndexPutOptionsIndexSelectShapeIndexSpecIndicesOptionsIndicesSpecinitialize_deviceInputsForInsertDiminvalid_conf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torch.special

Functions

  • logit - Computes the logit of each element in the input tensor.
  • erf - Computes the error function of each element in the input tensor.
  • erfc - Computes the complementary error function of each element in the input tensor.
  • erfinv - Computes the inverse error function of each element in the input tensor.
  • sinc - Computes the normalized sinc function of each element in the input tensor.
  • entr - Computes Shannon entropy element-wise: -x * ln(x), with special handling for boundaries.
  • erfcx - Computes the scaled complementary error function: erfcx(x) = exp(x²) * erfc(x).
  • i0e - Computes the exponentially scaled modified Bessel function of the first kind, order 0.
  • i1 - Computes the modified Bessel function of the first kind, order 1, I₁(x).
  • i1e - Computes the exponentially scaled modified Bessel function of the first kind, order 1.
  • log_ndtr - Computes the log of the normal cumulative distribution function: log(Φ(x)) = log(ndtr(x)).
  • ndtr - Computes the normal (Gaussian) cumulative distribution function (CDF), also called Phi function.
  • ndtri - Computes the inverse of the normal CDF (quantile function), also called percent point function (PPF)
  • airy_ai - Computes the Airy function Ai(x), solution to the Airy differential equation.
  • bessel_j0 - Computes the Bessel function of the first kind of order 0, J₀(x).
  • bessel_j1 - Computes the Bessel function of the first kind of order 1, J₁(x).
  • bessel_y0 - Computes the Bessel function of the second kind of order 0, Y₀(x), also called Neumann function.
  • bessel_y1 - Computes the Bessel function of the second kind of order 1, Y₁(x), also called Neumann function.
  • modified_bessel_i0 - Computes the modified Bessel function of the first kind of order 0.
  • modified_bessel_i1 - Computes the modified Bessel function of the first kind of order 1.
  • modified_bessel_k0 - Computes the modified Bessel function of the second kind of order 0, K₀(x).
  • modified_bessel_k1 - Computes the modified Bessel function of the second kind of order 1, K₁(x).
  • scaled_modified_bessel_k0 - Computes the exponentially scaled modified Bessel function of the second kind of order 0.
  • scaled_modified_bessel_k1 - Computes the exponentially scaled modified Bessel function of the second kind of order 1.
  • spherical_bessel_j0 - Computes the spherical Bessel function of the first kind of order 0, j₀(x) = sin(x)/x.
  • gammainc - Computes the regularized lower incomplete gamma function, P(a, x) = γ(a, x) / Γ(a).
  • gammaincc - Computes the regularized upper incomplete gamma function, Q(a, x) = Γ(a, x) / Γ(a).
  • xlog1py - Computes x * log1p(y) with safe handling for x=0 and numerical edge cases.
  • zeta - Computes the Hurwitz zeta function, ζ(x, q) = ∑_{n=0}^∞ 1/(q+n)^x.
  • multigammaln - Computes the multivariate log-gamma function with dimension p.
  • polygamma - Computes the n-th derivative of the digamma function.
  • chebyshev_polynomial_t - Computes Chebyshev polynomial of the first kind T_n(x).
  • chebyshev_polynomial_u - Computes Chebyshev polynomial of the second kind U_n(x).
  • chebyshev_polynomial_v - Computes Chebyshev polynomial of the third kind V_n(x).
  • chebyshev_polynomial_w - Computes Chebyshev polynomial of the fourth kind W_n(x).
  • shifted_chebyshev_polynomial_t - Computes shifted Chebyshev polynomial of the first kind T*_n(x).
  • shifted_chebyshev_polynomial_u - Computes shifted Chebyshev polynomial of the second kind U*_n(x).
  • shifted_chebyshev_polynomial_v - Computes shifted Chebyshev polynomial of the third kind V*_n(x).
  • shifted_chebyshev_polynomial_w - Computes shifted Chebyshev polynomial of the fourth kind W*_n(x).
  • hermite_polynomial_h - Computes Hermite polynomial (physicist's convention) H_n(x).
  • hermite_polynomial_he - Computes Hermite polynomial (probabilist's convention) He_n(x).
  • laguerre_polynomial_l - Computes Laguerre polynomial L_n(x).
  • legendre_polynomial_p - Computes Legendre polynomial P_n(x).

Types

  • SpecialUnaryOptions - Options for unary special functions
  • SpecialBinaryOptions - Options for binary special functions
  • SpecialSoftmaxOptions - Options for softmax operations
  • SpecialLogitOptions - Options for logit operation
  • SpecialPolynomialOptions - Options for polynomial functions