XC888LM datasheet(91/144 Pages) INFINEON

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XC886/888CLM

Functional Description

Data Sheet

V0.9, 2006-12

3.12

CORDIC Coprocessor

The CORDIC Coprocessor provides CPU with hardware support for the solving of

circular (trigonometric), linear (multiply-add, divide-add) and hyperbolic functions.

Features

•

Modes of operation

– Supports all CORDIC operating modes for solving circular (trigonometric), linear

(multiply-add, divide-add) and hyperbolic functions

– Integrated look-up tables (LUTs) for all operating modes

•

Circular vectoring mode: Extended support for values of initial X and Y data up to full

range of [-2

15,(215-1)] for solving angle and magnitude

•

Circular rotation mode: Extended support for values of initial Z data up to full range

of [-2

15,(215-1)], representing angles in the range [-

π,((215-1)/215)π] for solving

trigonometry

•

Implementation-dependent operational frequency of up to 80 MHz

•

Gated clock input to support disabling of module

•

16-bit accessible data width

– 24-bit kernel data width plus 2 overflow bits for X and Y each

– 20-bit kernel data width plus 1 overflow bit for Z

– With KEEP bit to retain the last value in the kernel register for a new calculation

•

16 iterations per calculation: Approximately 41 clock-cycles or less, from set of start

(ST) bit to set of end-of-calculation flag, excluding time taken for write and read

access of data bytes.

•

Twos complement data processing

– Only exception: X result data with user selectable option for unsigned result

•

X and Y data generally accepted as integer or rational number; X and Y must be of

the same data form

•

Entries of LUTs are 20-bit signed integers

– Entries of atan and atanh LUTs are integer representations (S19) of angles with

the scaling such that [-2

15,(215-1)] represents the range [-

π,((215-1)/215)π]

– Accessible Z result data for circular and hyperbolic functions is integer in data form

of S15

•

Emulated LUT for linear function

– Data form is 1 integer bit and 15-bit fractional part (1.15)

– Accessible Z result data for linear function is rational number with fixed data form

of S4.11 (signed 4Q16)

•

Truncation Error

– The result of a CORDIC calculation may return an approximation due to truncation

of LSBs

– Good accuracy of the CORDIC calculated result data, especially in circular mode

•

Interrupt

– On completion of a calculation

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