can set a patchData w. an all_primal centering

[rochSmets]

This is just the beginning of the work... I will continue once we will be agree with the way to do it. My notebook to test it is here : https://github.com/rochSmets/farJunk/blob/main/nb/ohm.ipynb

Summary by CodeRabbit

• New Features

  • Introduced advanced mathematical operations for vector and scalar fields, including dot product, cross product, square root, gradient, and modulus calculations.
  • Added new methods and functions for handling hierarchical data structures, including renaming, arithmetic operations, and domain slicing.

• Enhancements

  • Updated PatchHierarchy class with new methods for mapping quantities to spatial directions and retrieving patch data names.
  • Improved field computation methods to handle additional parameters and new arithmetic operations.

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Walkthrough

Walkthrough

The recent updates introduce a comprehensive set of mathematical and field operations across hierarchical data structures in the pyphare library. These enhancements include new functions for computing dot products, cross products, gradients, and more for vector and scalar fields. Additionally, various classes and methods have been updated to support these operations, handle different field centerings, and manage patch data more effectively.

Changes

File Path	Change Summary
pyphare/core/operators.py	Introduced functions for computing dot products, cross products, square roots, gradients, and modulus of fields in a hierarchy.
pyphare/pharesee/hierarchy.py	Added flat_name method, updated global_min and global_max methods, introduced ScalarField and VectorField classes with arithmetic operations.
pyphare/pharesee/run.py	Added imports and functions for domain slicing and field computations. Modified existing functions to handle new parameters and logic for all-primal data.

Sequence Diagram(s) (Beta)

sequenceDiagram
    participant User
    participant PatchHierarchy
    participant ScalarField
    participant VectorField
    participant Operators

    User->>PatchHierarchy: Initialize hierarchy
    PatchHierarchy-->>User: Return hierarchy instance

    User->>ScalarField: Perform arithmetic operation
    ScalarField-->>User: Return result

    User->>VectorField: Perform arithmetic operation
    VectorField-->>User: Return result

    User->>Operators: Compute dot product
    Operators-->>User: Return dot product

    User->>Operators: Compute cross product
    Operators-->>User: Return cross product

    User->>Operators: Compute gradient
    Operators-->>User: Return gradient

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[rochSmets]

I still have 2 commits to keep memory of what I did if it happens I need to restore anything. But if this is fine for you, I will squash in a single commit

[PhilipDeegan]

I still have 2 commits to keep memory of what I did if it happens I need to restore anything. But if this is fine for you, I will squash in a single commit

it can all be squashed on merge so you don't need to bother

[nicolasaunai]

Closing because is in #859