XC886/888CLM
CORDIC Coprocessor
User’s Manual
11-2
V1.3, 2010-02
CORDIC Coprocessor, V 1.2.1
11.1
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
,(2
15
-1)] for solving angle and magnitude
•
Circular rotation mode: Extended support for values of initial Z data up to full range
of [-2
15
,(2
15
-1)], representing angles in the range [-
π
,((2
15
-1)/2
15
)
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
,(2
15
-1)] represents the range [-
π
,((2
15
-1)/2
15
)
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
– Interrupt enabling and corresponding flag
*
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