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gps/dependencies/hardfloat/README.md
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Berkeley Hardware Floating-Point Units
======================================
This repository contains hardware floating-point units written in Chisel.
This library contains parameterized floating-point units for fused multiply-add
operations, conversions between integer and floating-point numbers, and
conversions between floating-point conversions with different precision.
**WARNING**:
These units are works in progress. They may not be yet completely free of
bugs, nor are they fully optimized.
Recoded Format
--------------
The floating-point units in this repository work on an internal recoded format
(exponent has an additional bit) to handle subnormal numbers more efficiently
in a microprocessor. A more detailed explanation will come soon, but in the
mean time here are some example mappings for single-precision numbers.
IEEE format Recoded format
---------------------------------- -----------------------------------
s 00000000 00000000000000000000000 s 000------ 00000000000000000000000
s 00000000 00000000000000000000001 s 001101011 00000000000000000000000
s 00000000 0000000000000000000001f s 001101100 f0000000000000000000000
s 00000000 000000000000000000001ff s 001101101 ff000000000000000000000
... ... ... ...
s 00000000 001ffffffffffffffffffff s 001111111 ffffffffffffffffffff000
s 00000000 01fffffffffffffffffffff s 010000000 fffffffffffffffffffff00
s 00000000 1ffffffffffffffffffffff s 010000001 ffffffffffffffffffffff0
s 00000001 fffffffffffffffffffffff s 010000010 fffffffffffffffffffffff
s 00000010 fffffffffffffffffffffff s 010000011 fffffffffffffffffffffff
... ... ... ...
s 11111101 fffffffffffffffffffffff s 101111110 fffffffffffffffffffffff
s 11111110 fffffffffffffffffffffff s 101111111 fffffffffffffffffffffff
s 11111111 00000000000000000000000 s 110------ -----------------------
s 11111111 fffffffffffffffffffffff s 111------ fffffffffffffffffffffff
Unit-Testing
------------
To unit-test these floating-point units, you need the berkeley-testfloat-3
package.
To test floating-point units with the C simulator:
$ make