# Induction Variable Analysis without Idiom Recognition: Beyond Monotonicity

@inproceedings{Wu2001InductionVA, title={Induction Variable Analysis without Idiom Recognition: Beyond Monotonicity}, author={Peng Wu and Albert Cohen and David A. Padua}, booktitle={LCPC}, year={2001} }

Traditional induction variable (IV) analyses focus on computing the closed form expressions of variables. This paper presents a new IV analysis based on a property called distance interval. This property captures the value changes of a variable along a given control-flow path of a program. Based on distance intervals, an efficient algorithm detects dependences for array accesses that involve induction variables. This paper describes how to compute distance intervals and how to compute closed…

## 16 Citations

### Induction Variable Analysis with Delayed Abstractions

- Computer ScienceHiPEAC
- 2005

The design of an induction variable analyzer suitable for the analysis of typed, low-level, three address representations in SSA form is presented, with a new algorithm recognizing scalar evolutions.

### Scalable conditional induction variables (CIV) analysis

- Computer Science2015 IEEE/ACM International Symposium on Code Generation and Optimization (CGO)
- 2015

A flow-sensitive technique that summarizes both CIV-based and affine subscripts to program level, using the same representation, and is more powerful than previously reported dependence tests that rely on the pairwise disambiguation of read-write references.

### Analysis of induction variables using chains of recurrences: exten-sions

- Computer Science
- 2003

The static analysis of the evolution of scalar variables in the loop structures of imperative programs is described using a classic data flow algorithm, and refined into a more efficient algorithm using the static single assignment intermediate representation of a program.

### Difference constraints: an adequate abstraction for complexity analysis of imperative programs

- Computer Science2015 Formal Methods in Computer-Aided Design (FMCAD)
- 2015

It is argued that the complexity of imperative programs typically arises from counter increments and resets, which can be modeled naturally by difference constraints, and the first practical algorithm for the analysis of difference constraint programs is presented.

### The value evolution graph and its use in memory reference analysis

- Computer ScienceProceedings. 13th International Conference on Parallel Architecture and Compilation Techniques, 2004. PACT 2004.
- 2004

We introduce a framework for the analysis of memory reference sets addressed by induction variables without closed forms. This framework relies on a new data structure, the value evolution graph…

### Sensitivity analysis for automatic parallelization on multi-cores

- Computer ScienceICS '07
- 2007

It is shown how Sensitivity Analysis can extract all the input dependent, statically unavailable, conditions for which loops can be dynamically parallelized and obtain most of the available coarse grained parallelism.

### Effective compile-time analysis for data prefetching in java

- Computer Science
- 2002

This dissertation shows that a unified whole-program compiler analysis is effective in discovering prefetching opportunities in Java programs that traverse arrays and linked structures, and improves the memory performance even in the presence of object-oriented features that complicate analysis.

### Simple and effective array prefetching in Java

- Computer ScienceJGI '02
- 2002

A new unified compile-time analysis for software prefetching arrays and linked structures in Java is described that identifies loop induction variables used in array accesses and is suitable for including in a just-in-time compiler.

### Sensitivity Analysis for Migrating Programs to Multi-Cores

- Computer Science
- 2006

The Sensitivity Analysis (SA), presented in this paper is a novel technique that can reduce the dynamic overhead of previous Hybrid Analysis technology, and can frequently extract light weight, sufficient conditions for which these dependence sets are empty.

### Scalable Array SSA and Array Data Flow Analysis

- Computer ScienceLCPC
- 2005

This paper proposes to improve the applicability of previous efforts in array SSA through the use of a symbolic memory access descriptor that can aggregate the accesses to the elements of an array over large, interprocedural program contexts.

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