Algorithm and Design of a Fully Parallel Approximate Coordinate Rotation Digital Computer (CORDIC)
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Bibliographic record
Abstract
This paper proposes a new approximate scheme for coordinate rotation digital computer (CORDIC) design. This scheme is based on modifying the existing Para-CORDIC architecture with an approximation that is inserted in multiple parts and made possible by relaxing the CORDIC algorithm itself. A fully parallel approximate CORDIC (FPAX-CORDIC) scheme is proposed. This scheme avoids the memory register of Para-CORDIC and makes the generation of the rotation direction fully parallel. A comprehensive analysis and the evaluation of the error introduced by the approximation together with different circuit-related metrics are pursued using HSPICE as the simulation tool. This error analysis also combines existing figures of merit for approximate computing (such as the Mean Error Distance (MED) and MED Power Product (MPP)) with CORDIC specific parameters. It is shown that a good agreement between expected and simulated error values is found. The Discrete Cosine Transformation (DCT) and the Inverse DCT (IDCT) transformations as case study of approximate computing to image processing are investigated by utilizing the proposed approximate FPAX-CORDIC architecture with different accuracy requirements. The results confirm the viability of the proposed scheme.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it