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+         id="text1392-1"
+         inkscape:label="text1392-1"
+         aria-label="pystencils" />
+    </g>
+  </g>
+</svg>

docs/source/_templates/autosummary/entire_class.rst

+{{ fullname | escape | underline}}
+
+.. currentmodule:: {{ module }}
+
+.. autoclass:: {{ objname }}
+    :members:

docs/source/_templates/autosummary/recursive_class.rst

+{% extends "!autosummary/class.rst" %}
+
+   {% block methods %}
+
+   {% if methods %}
+   .. rubric:: {{ _('Methods') }}
+
+   .. autosummary::
+      :toctree:
+   {% for item in methods %}
+      ~{{ name }}.{{ item }}
+   {%- endfor %}
+   {% endif %}
+   {% endblock %}
+
+   {% block attributes %}
+   {% if attributes %}
+   .. rubric:: {{ _('Attributes') }}
+
+   .. autosummary::
+      :toctree:
+   {% for item in attributes %}
+      ~{{ name }}.{{ item }}
+   {%- endfor %}
+   {% endif %}
+   {% endblock %}

docs/source/_templates/autosummary/sympy_class.rst

+{{ fullname | escape | underline}}
+
+.. currentmodule:: {{ module }}
+
+.. autoclass:: {{ objname }}

docs/source/api/codegen.md

+# Code Generation
+
+## Invocation
+
+```{eval-rst}
+.. module:: pystencils.codegen
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+
+  create_kernel
+```
+  
+## Configuration
+
+```{eval-rst}
+.. module:: pystencils.codegen.config
+```
+
+The code generation driver (`create_kernel`, but also `DefaultKernelCreationDriver`) can be configured by
+passing it a `CreateKernelConfig` object.
+This object can be constructed incrementally:
+
+```Python
+cfg = ps.CreateKernelConfig()
+cfg.default_dtype = "float32"
+cfg.target = ps.Target.X86_AVX
+cfg.cpu.openmp.enable = True
+cfg.cpu.vectorize.enable = True
+cfg.cpu.vectorize.assume_inner_stride_one = True
+```
+
+### Options and Option Categories
+
+The following options and option categories are exposed by the configuration object:
+
+#### Target Specification
+
+```{eval-rst}
+.. current
+
+.. autosummary::
+
+  ~CreateKernelConfig.target
+```
+
+#### Data Types
+
+```{eval-rst}
+.. autosummary::
+
+  ~CreateKernelConfig.default_dtype
+  ~CreateKernelConfig.index_dtype
+```
+
+#### Iteration Space
+
+```{eval-rst}
+.. autosummary::
+
+  ~CreateKernelConfig.ghost_layers
+  ~CreateKernelConfig.iteration_slice
+  ~CreateKernelConfig.index_field
+```
+
+#### Kernel Constraint Checks
+
+```{eval-rst}
+.. autosummary::
+
+  ~CreateKernelConfig.allow_double_writes
+  ~CreateKernelConfig.skip_independence_check
+```
+
+#### Target-Specific Options
+
+The following categories with target-specific options are exposed:
+
+| | |
+|---------------------------|--------------------------|
+| {any}`cpu <CpuOptions>`   | Options for CPU kernels  |
+| {any}`gpu <GpuOptions>`   | Options for GPU kernels  |
+| {any}`sycl <SyclOptions>` | Options for SYCL kernels |
+
+
+#### Kernel Object and Just-In-Time Compilation
+
+```{eval-rst}
+.. autosummary::
+
+  ~CreateKernelConfig.function_name
+  ~CreateKernelConfig.jit
+```
+
+### Configuration System Classes
+
+```{eval-rst}
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/recursive_class.rst
+
+  CreateKernelConfig
+  CpuOptions
+  OpenMpOptions
+  VectorizationOptions
+  GpuOptions
+  SyclOptions
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+
+  AUTO
+
+.. dropdown:: Implementation Details
+
+  .. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/entire_class.rst
+
+    Option
+    BasicOption
+    Category
+    ConfigBase
+
+```
+
+## Target Specification
+
+```{eval-rst}
+
+.. module:: pystencils.codegen.target
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/recursive_class.rst
+
+  Target
+
+```
+
+## Code Generation Drivers
+
+```{eval-rst}
+.. module:: pystencils.codegen.driver
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+  DefaultKernelCreationDriver
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+
+  get_driver
+```
+
+## Output Code Objects
+
+```{eval-rst}
+.. currentmodule:: pystencils.codegen
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+  Kernel
+  GpuKernel
+  Parameter
+  GpuThreadsRange
+```

docs/source/api/jit.md

+# JIT Compilation
+
+## Base Infrastructure
+
+```{eval-rst}
+.. module:: pystencils.jit
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+    KernelWrapper
+    JitBase
+    NoJit
+
+.. autodata:: no_jit
+```
+
+## Legacy CPU JIT
+
+The legacy CPU JIT Compiler is a leftover from pystencils 1.3
+which at the moment still drives most CPU JIT-compilation within the package,
+until the new JIT compiler is ready to take over.
+
+```{eval-rst}
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+  LegacyCpuJit
+```
+
+## CPU Just-In-Time Compiler
+
+:::{note}
+The new CPU JIT compiler is still considered experimental and not yet adopted by most of pystencils.
+While the APIs described here will (probably) become the default for pystencils 2.0
+and can (and should) already be used for testing,
+the current implementation is still *very slow*.
+For more information, see [issue !120](https://i10git.cs.fau.de/pycodegen/pystencils/-/issues/120).
+:::
+
+To configure and create an instance of the CPU JIT compiler, use the `CpuJit.create` factory method:
+
+:::{card}
+```{eval-rst}
+.. autofunction:: pystencils.jit.CpuJit.create
+  :no-index:
+```
+:::
+
+### Compiler Infos
+
+The CPU JIT compiler invokes a host C++ compiler to compile and link a Python extension
+module containing the generated kernel.
+The properties of the host compiler are defined in a `CompilerInfo` object.
+To select a custom host compiler and customize its options, set up and pass
+a custom compiler info object to `CpuJit.create`.
+
+```{eval-rst}
+.. module:: pystencils.jit.cpu.compiler_info
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+  CompilerInfo
+  GccInfo
+  ClangInfo
+```
+
+### Implementation
+
+```{eval-rst}
+.. module:: pystencils.jit.cpu
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+  CpuJit
+  cpujit.ExtensionModuleBuilderBase
+```
+
+## CuPy-based GPU JIT
+
+```{eval-rst}
+.. module:: pystencils.jit.gpu_cupy
+
+.. autosummary::
+  :toctree: generated
+  :nosignatures:
+  :template: autosummary/entire_class.rst
+
+  CupyJit
+  CupyKernelWrapper
+  LaunchGrid
+```

docs/source/api/symbolic/assignments.md

+# Assignments and AssignmentCollection
+
+```{eval-rst}
+
+.. py:class:: pystencils.Assignment
+
+    Monkeypatched variant of `sympy.codegen.ast.Assignment`.
+    Represents an assignment of an expression to a symbol.
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/recursive_class.rst
+
+    pystencils.AssignmentCollection
+```

docs/source/api/symbolic/field.rst

+Fields
+======
+
+.. module:: pystencils.field
+
+.. autoclass:: pystencils.Field
+
+Types of Fields
+---------------
+
+.. autoclass:: pystencils.FieldType
+    
+Creating Fields
+---------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    fields
+    Field.create_generic
+    Field.create_fixed_size
+    Field.create_from_numpy_array
+    Field.new_field_with_different_name
+    
+Properties
+----------
+
+Name and Element Type
+^^^^^^^^^^^^^^^^^^^^^
+
+.. autosummary::
+    :toctree: generated
+
+    Field.name
+    Field.dtype
+    Field.itemsize
+
+Dimensionality, Shape, and Memory Layout
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+.. autosummary::
+    :toctree: generated
+    
+    Field.ndim
+    Field.values_per_cell
+    Field.spatial_dimensions
+    Field.index_dimensions
+    Field.spatial_shape
+    Field.has_fixed_shape
+    Field.index_shape
+    Field.has_fixed_index_shape
+    Field.layout
+    Field.spatial_strides
+    Field.index_strides
+
+Accessing Field Entries
+-----------------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    Field.center
+    Field.center_vector
+    Field.neighbor
+    Field.neighbor_vector
+    Field.__getitem__
+    Field.__call__
+    Field.absolute_access
+    Field.staggered_access
+    Field.staggered_vector_access
+
+.. autoclass:: pystencils.field.Field.Access

docs/source/api/symbolic/index.md

+# Symbolic Toolbox
+
+:::{toctree}
+:maxdepth: 1
+
+field
+assignments
+sympyextensions
+:::

docs/source/api/symbolic/sympyextensions.rst

+Extensions to SymPy
+===================
+
+.. module:: pystencils.sympyextensions
+
+Symbol Factory
+--------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    SymbolCreator
+
+
+Functions
+---------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    math.prod
+    math.scalar_product
+    math.kronecker_delta
+    math.tanh_step_function_approximation
+    math.multidimensional_sum
+
+
+Expression Analysis
+-------------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    math.is_constant
+    math.summands
+    math.common_denominator
+    math.get_symmetric_part
+    math.count_operations
+    math.count_operations_in_ast
+
+
+Expression Rewriting and Simplifications
+----------------------------------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    math.remove_small_floats
+    math.is_integer_sequence
+    math.normalize_product
+    math.symmetric_product
+    math.fast_subs
+    math.subs_additive
+    math.replace_second_order_products
+    math.remove_higher_order_terms
+    math.complete_the_square
+    math.complete_the_squares_in_exp
+    math.extract_most_common_factor
+    math.recursive_collect
+    math.simplify_by_equality
+
+Typed Expressions
+-----------------
+
+.. autoclass:: pystencils.TypedSymbol
+
+.. autoclass:: pystencils.DynamicType
+    :members:
+
+.. autoclass:: pystencils.sympyextensions.typed_sympy.TypeCast
+    :members:
+
+.. autoclass:: pystencils.sympyextensions.tcast
+
+
+Integer Operations
+------------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/sympy_class.rst
+
+    integer_functions.bitwise_xor
+    integer_functions.bit_shift_right
+    integer_functions.bit_shift_left
+    integer_functions.bitwise_and
+    integer_functions.bitwise_or
+    integer_functions.int_div
+    integer_functions.int_rem
+    integer_functions.round_to_multiple_towards_zero
+    integer_functions.ceil_to_multiple
+    integer_functions.div_ceil

docs/source/api/types.rst

+.. _page_type_system:
+
+***********
+Type System
+***********
+
+.. module:: pystencils.types
+
+
+Type Creation and Conversion
+----------------------------
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    create_type
+    create_numeric_type
+    UserTypeSpec
+    constify
+    deconstify
+
+
+Data Type Class Hierarchy
+-------------------------
+
+These are the classes that make up the type system internally.
+Most of the time, you will not be using them directly, so you can skip over this part
+unless you have very particular needs.
+
+
+.. inheritance-diagram:: pystencils.types.meta.PsType pystencils.types.types
+    :top-classes: pystencils.types.PsType
+    :parts: 1
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/entire_class.rst
+
+    PsType
+    PsCustomType
+    PsStructType
+    PsDereferencableType
+    PsPointerType
+    PsArrayType
+    PsNumericType
+    PsScalarType
+    PsVectorType
+    PsIntegerType
+    PsBoolType
+    PsUnsignedIntegerType
+    PsSignedIntegerType
+    PsIeeeFloatType
+
+
+Data Type Abbreviations
+-----------------------
+
+.. module:: pystencils.types.quick
+
+The `pystencils.types.quick` module contains aliases of most of the above data type classes,
+in order to reduce verbosity of code using the type system.
+
+.. autosummary::
+    
+    Custom
+    Scalar
+    Ptr
+    Arr
+    Bool
+    AnyInt
+    UInt
+    Int
+    SInt
+    Fp
+
+
+Exceptions
+----------
+
+.. currentmodule:: pystencils.types
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    PsTypeError
+
+
+Implementation Details
+----------------------
+
+.. automodule:: pystencils.types.meta

docs/source/backend/ast.rst

+********************
+Abstract Syntax Tree
+********************
+
+.. automodule:: pystencils.backend.ast
+
+API Documentation
+=================
+
+Inheritance Diagram
+-------------------
+
+.. inheritance-diagram:: pystencils.backend.ast.astnode.PsAstNode pystencils.backend.ast.structural pystencils.backend.ast.expressions pystencils.backend.ast.vector pystencils.backend.extensions.foreign_ast
+    :top-classes: pystencils.types.PsAstNode
+    :parts: 1
+
+Base Classes
+------------
+
+.. module:: pystencils.backend.ast.astnode
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/entire_class.rst
+
+    PsAstNode
+    PsLeafMixIn
+
+
+Structural Nodes
+----------------
+
+.. module:: pystencils.backend.ast.structural
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/entire_class.rst
+
+    PsBlock
+    PsStatement
+    PsAssignment
+    PsDeclaration
+    PsLoop
+    PsConditional
+    PsEmptyLeafMixIn
+    PsPragma
+    PsComment
+
+
+Expressions
+-----------
+
+.. module:: pystencils.backend.ast.expressions
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/entire_class.rst
+
+    PsExpression
+    PsLvalue
+    PsSymbolExpr
+    PsConstantExpr
+    PsLiteralExpr
+    PsBufferAcc
+    PsSubscript
+    PsMemAcc
+    PsLookup
+    PsCall
+    PsTernary
+    PsNumericOpTrait
+    PsIntOpTrait
+    PsBoolOpTrait
+    PsUnOp
+    PsNeg
+    PsAddressOf
+    PsCast
+    PsBinOp
+    PsAdd
+    PsSub
+    PsMul
+    PsDiv
+    PsIntDiv
+    PsRem
+    PsLeftShift
+    PsRightShift
+    PsBitwiseAnd
+    PsBitwiseXor
+    PsBitwiseOr
+    PsAnd
+    PsOr
+    PsNot
+    PsRel
+    PsEq
+    PsNe
+    PsGe
+    PsLe
+    PsGt
+    PsLt
+    PsArrayInitList
+
+
+SIMD Nodes
+----------
+
+.. module:: pystencils.backend.ast.vector
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+    :template: autosummary/entire_class.rst
+
+    PsVectorOp
+    PsVecBroadcast
+    PsVecMemAcc
+
+
+Utility
+-------
+
+.. currentmodule:: pystencils.backend.ast
+
+.. autosummary::
+    :toctree: generated
+    :nosignatures:
+
+    expressions.evaluate_expression
+    dfs_preorder
+    dfs_postorder
+    util.AstEqWrapper
+    util.determine_memory_object

docs/source/backend/errors.rst

+*********************
+Errors and Exceptions
+*********************
+
+.. automodule:: pystencils.backend.exceptions
+    :members:

docs/source/backend/extensions.rst

+************************************
+Extensions and Experimental Features
+************************************
+
+.. automodule:: pystencils.backend.extensions

docs/source/backend/index.rst

+.. _page_codegen_backend:
+
+##############################################
+Developer's Reference: Code Generation Backend
+##############################################
+
+These pages provide a detailed overview of the pystencils code generation backend
+as a reference for current and future developers of pystencils, as well as users
+who wish to customize or extend the behaviour of the code generator in their applications.
+
+.. toctree::
+    :maxdepth: 1
+    
+    objects
+    ast
+    iteration_space
+    translation
+    platforms
+    transformations
+    errors
+    extensions
+
+Internal Representation
+-----------------------
+
+The code generator translates the kernel from the SymPy frontend's symbolic language to an internal
+representation (IR), which is then emitted as code in the required dialect of C.
+All names of classes associated with the internal kernel representation are prefixed ``Ps...``
+to distinguis them from identically named front-end and SymPy classes.
+The IR comprises *symbols*, *constants*, *arrays*, the *iteration space* and the *abstract syntax tree*:
+
+* `PsSymbol` represents a single symbol in the kernel, annotated with a type. Other than in the frontend,
+  uniqueness of symbols is enforced by the backend: of each symbol, at most one instance may exist.
+* `PsConstant` provides a type-safe representation of constants.
+* `PsBuffer` is the backend counterpart to the ubiquitous `Field`, representing a contiguous
+  n-dimensional array.
+  These arrays do not occur directly in the IR, but are represented through their *associated symbols*,
+  which are base pointers, shapes, and strides.
+* The iteration space (`IterationSpace`) represents the kernel's iteration domain.
+  Currently, dense iteration spaces (`FullIterationSpace`) and an index list-based
+  sparse iteration spaces (`SparseIterationSpace`) are available.
+* The *Abstract Syntax Tree* (AST) is implemented in the `pystencils.backend.ast` module.
+  It represents a subset of standard C syntax, as required for pystencils kernels.
+
+
+Kernel Creation
+---------------
+
+Translating a kernel's symbolic representation to compilable code takes various analysis, transformation, and
+optimization passes. These are implemented modularily, each represented by its own class.
+They are tied together in the kernel translation *driver* and communicate with each other through the
+`KernelCreationContext`, which assembles all relevant information.
+The primary translation driver implemented in pystencils is the ubiquitous `create_kernel`.
+However, the backend is designed to make it easy for users and developers to implement custom translation
+drivers if necessary.
+
+The various functional components of the kernel translator are best explained in the order they are invoked
+by `create_kernel`.
+
+Analysis and Constraint Checks
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+The `KernelAnalysis` pass parses the SymPy assignment list and checks it for the consistency requirements
+of the code generator, including the absence of loop-carried dependencies and the static single-assignment form.
+Furthermore, it populates the `KernelCreationContext` with information about all fields encountered in the kernel.
+
+Creation of the Iteration Space
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+Before the actual translation can begin, the kernel's iteration space must be defined.
+The `pystencils.backend.kernelcreation.iteration_space` module provides various means of creating iteration spaces,
+which are used by *create_kernel* according to its input configuration.
+To communicate the presence of an iteration space to other components, it must be set in the context using
+`KernelCreationContext.set_iteration_space`.
+It will be used during the *freeze* pass, and later be materialized to a loop nest or GPU index translation.
+
+Freeze and Typification
+^^^^^^^^^^^^^^^^^^^^^^^
+
+The transformation of the SymPy expressions to the backend's AST is handled by `FreezeExpressions`.
+This class instantiates field accesses according to the iteration space, maps SymPy operators and functions to their
+backend instances, and raises an exception if asked to translate something the backend can't handle.
+
+Constants and untyped symbols in the frozen expressions now need to be assigned a data type, and expression types
+need to be checked against the C typing rules. This is the task of the `Typifier`. It assigns a default type to
+every untyped symbol, attempts to infer the type of constants from their context in the expression,
+and checks expression types using a stricter subset of the C typing rules,
+allowing for no implicit type casts even between closely related types.
+After the typification pass, the code generator either has a fully and correctly typed kernel body in hand,
+or it has raised an exception.
+
+Platform Selection and Materialization
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+The various hardware platforms supported by pystencils are implemented in the `pystencils.backend.platforms` module.
+Each implements a target-specific materialization of generic backend components, including:
+
+- The iteration space, which is materialized to a specific index source. This might be a loop nest for CPU kernels, or
+  a thread index translation for GPU kernels
+- Mathematical functions, which might have to be mapped to concrete library functions
+- Vector data types and operations, which are mapped to intrinsics on vector CPU architectures
+
+Transformations
+^^^^^^^^^^^^^^^
+
+TODO
+
+Target-Specific Optimization
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+TODO
+
+Finalization
+^^^^^^^^^^^^
+
+TODO

docs/source/backend/iteration_space.rst

+****************
+Iteration Spaces
+****************
+
+.. automodule:: pystencils.backend.kernelcreation.iteration_space
+    :members:
\ No newline at end of file