RM0440 Rev 4 473/2126
RM0440 CORDIC co-processor (CORDIC)
485
x ∙ 0.5 is programmed in ARG1 and the factor n = 1 must be programmed in the SCALE
parameter.
The secondary argument is not used.
The primary result is the hyperbolic arctangent, atanh x. RES1 must be multiplied by 2 to
obtain the correct value.
The secondary result is not used.
Natural logarithm
This function calculates the natural logarithm of the input argument x.
The primary argument is the input value x. Only values of x in the range 0.107 to 9.35 are
supported. The value x must be scaled by a factor 2
-n
, such that x ∙ 2
-n
< 1-2
-n
. The scaled
value x ∙ 2
-n
is programmed in ARG1 and the factor n must be programmed in the SCALE
parameter.
Table 112 lists the valid scaling factors, n, and the corresponding ranges of x and ARG1.
The secondary argument is not used.
The primary result is the natural logarithm, ln x. RES1 must be multiplied by 2
(n+1)
to obtain
the correct value.
The secondary result is not used.
Table 111. Natural logarithm parameters
Parameter Description Range
ARG1 x ∙ 2
-n
[0.054 0.875]
ARG2 Not applicable -
RES1 2
-(n+1)
.ln x [-0.279 0.137]
RES2 Not applicable -
SCALE n [1 4]
Table 112. Natural log scaling factors and corresponding ranges
n x range ARG1 range
1 0.107 ≤ x< 1 0.0535 ≤ ARG1< 0.5
21 ≤ x < 3 0.25 ≤ ARG1< 0.75
33 ≤ x < 7 0.375 ≤ ARG1< 0.875
47 ≤ x ≤ 9.35 0.4375 ≤ ARG1< 0.584