SSA-IR Compiler Structure Preservation for Acausal Models

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Solution Overview

Problem

Existing compiler systems for acausal modeling struggle with the runtime efficiency of generated code and the scaling of the compilation and code-generation process, often requiring loss of structure or flattening of differential-algebraic equations (DAE) systems to perform compilation, which leads to performance losses.

Innovation Solution

The proposed compiler systems and methods retain structure by using programming language intermediate representations, specifically extending the Pantelides algorithm, alias elimination, and tearing algorithms to SSA-IR, enabling efficient code generation and runtime performance for large-scale acausal models through bottom-up automatic differentiation and outlining passes.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Stability of the object's composition

If single-static assignment intermediate representation (SSA-IR) is used to represent a Modelica compiler, then structure preservation is achieved, but standard compilation passes (alias elimination, index reduction, tearing, and code generation) cannot be performed

Engineering Contradiction:
Improvestructure preservationVSAvoidcompilation process
Core Design Contradiction:
Stability of the object's compositionVSEase of manufacture

Solution Approach 1:

The patent uses SSA-IR as an intermediary representation that bridges the gap between preserving model structure and enabling standard compilation passes. By extending SSA-IR with specific capabilities, it mediates between the conflicting requirements of structure preservation and compilation effectiveness.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent modifies SSA-IR by extending it with additional parameters and capabilities specifically tailored for acausal modeling compilation. This includes adding support for alias elimination, index reduction, and tearing operations directly within the SSA-IR framework, thereby changing the representation's parameters to enable both structure preservation and standard compilation passes.

Inventive Principle:
Principle #35Parameter changes

2Productivity

If code generation is performed without structure preservation, then compilation speed is improved, but runtime performance of generated code deteriorates

Engineering Contradiction:
Improvecode generation speedVSAvoidruntime of generated code
Core Design Contradiction:
ProductivityVSLoss of time

Solution Approach 1:

The patent performs structure-preserving transformations and optimizations during the compilation phase using extended SSA-IR, preparing the code in advance to ensure both fast generation and efficient runtime execution. The outlining passes and alias elimination are performed preliminarily to maintain structure while enabling efficient code generation.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS20250013444A1Compiler systems and methods of extending equation-based modeling to programming language intermediate representations
Publication Date: 2025.01.09 JULIAHUB INC
  • US20250013444A1 patent drawing
  • US20250013444A1 patent drawing
  • US20250013444A1 patent drawing

AI summary

Compiler systems and methods are described herein that retain structure to scale acausal models into large-scale models. They provide extensions to the algorithms and compiler to achieve both structure preservation and core passes of a stable acausal modeling compiler (alias elimination, index reduction, tearing, and code generation). Structure preservation is provided through programming language intermediate representations. A SSA-IR representation of the model is received, incidence information is computed via taint analysis, the Pantelides algorithm is extended to SSA-IR via bottom-up AD, alias elimination is extended to SSA-IR, tearing is extended to SSA-IR, and structure is regained through outlining passes on SSA-IR. Benefits of increasing speed and efficiency of code generation are provided.