FLIP is distributed under LGPL. This research project is funded by French Région Rhône-Alpes.

**FLIP news**

- supported operations: addition/subtraction, multiplication, division and square root
- 4 IEEE rounding modes
- choice of support or not support subnormal numbers

- new supported operations: square, reciprocal, inverse square root and multiply and add/sub
- new division and square root code (execution speed up)
- support of trivial computations

- Sine, cosine, exponential and logarithm.

**Performances**

Performance in perfect cycles (equivalent to accounting for bundles and branch penalty, regardless of any cache effects) was measured for each variant of FLIP (tables 3-6) and compared to the current STMicroelectronics (table 2) Softfloat-based library operators (see table 1 for comparison), both on ST220 and ST231, producing the following results:

add/sub | mul | div | sqrt | square | FMA/FMS | reciprocal | inverse sqrt | |

Speedup | 1.38/1.37 | 1.25 |
3.47 | 2.49 | 1.66 | 1.79/1.78 | 3.76 | 4.53 |

Proc. | add/sub | mul | div | sqrt |

ST231 | 61/62 | 45 | 177 | 127 |

ST220 | 61/62 | 45 | 179 | 127 |

Proc. | add/sub | mul | div | sqrt | square | FMA/FMS | reciprocal | inverse sqrt |

ST231 | 44/45 | 36 | 51 | 51 | 27 | 59/60 | 47 | 67 |

ST220 | 44/45 | 38 | 62 | 76 | 28 | 60/61 | 59 | 96 |

Proc. | add/sub | mul | div | sqrt |

ST231 | 44/45 | 45 | 132 | 123 |

ST220 | 44/45 | 47 | 132 | 123 |

Proc. | add/sub | mul | div | sqrt |

ST231 | 67/68 | 58 | 149 | 125 |

ST220 | 67/68 | 60 | 149 | 125 |

Proc. | add/sub | mul | div | sqrt |

ST231 | 74/75 | 60 | 142 | 129 |

ST220 | 74/75 | 62 | 142 | 129 |

**Publications concerning FLIP**

- C. Bertin, N. Brisebarre, B. Dupont de Dinechin, C.-P. Jeannerod,
C. Monat, J.-M. Muller, S.K. Raina and A. Tisserand.
*A Floating-Point Library for Integer Processors*. SPIE 49th Annual Meeting, proceedings of SPIE vol. 5559 (Advanced Signal Processing Algorithms, Architectures, and Implementations XIV), August 2-6, 2004, Denver, USA. (Rapport de recherche LIP, July 2004 n°RR2004-37, Rapport de recherche INRIA, July 2004 n°5268). - C.-P. Jeannerod, S.K. Raina, and A. Tisserand.
*High-Radix Floating-Point Division Algorithms for Embedded VLIW Integer Processors*. Proceedings of 17th IMACS World Congress (Scientific Computation, Applied Mathematics and Simulation), July 11-15, 2005, Paris, France. (Rapport de recherche LIP n°RR2004-37

**Miscellaneous**

- Genealogy of FLIP
- 16 July 2004 - FLIP provides basic operations with the support of subnormal numbers for round-to-nearest-even mode only.
- 13 Sep 2004 - FLIP v0.1 (same as above) with validation tests and documentation.
- 21 Sep 2005 - FLIP v0.11 with few bugs in FLIP v0.1 fixed.
- 17 Oct 2005 - FLIP v0.2 with all the fast and additional operations in addition to all the four variations for basic operations.

- Do not hesitate to contact us (address at ens-lyon.fr) for more details.

Claude-Pierre Jeannerod, Saurabh Kumar Raina, Arnaud Tisserand Last modified: Mon Oct 17 18:00:53 CEST 2005