CORDIC co-processor (CORDIC) RM0440
470/2126 RM0440 Rev 4
This function calculates the phase angle in the range -π to π of a vector v = [x y] (also
known as atan2(y,x). It can also be used to perform rectangular to polar conversion.
The primary argument is the x coordinate, that is, the magnitude of the vector in the
direction of the x axis. If |x| > 1, a scaling must be applied in software to adapt it to the q1.31
range of ARG1.
The secondary argument is the y coordinate, that is, the magnitude of the vector in the
direction of the y axis. If |y| > 1, a scaling must be applied in software to adapt it to the q1.31
range of ARG2.
The primary result, RES1, is the phase angle θ of the vector v. RES1 must be multiplied by
π to obtain the angle in radians. Note that values close to π may sometimes wrap to -π due
to the circular nature of the phase angle.
The secondary result, RES2, is the modulus, given by: . If |v| > 1 the result in
RES2 is saturated to 1.
Modulus
This function calculates the magnitude, or modulus, of a vector v = [x y]. It can also be used
to perform rectangular to polar conversion.
The primary argument is the x coordinate, that is, the magnitude of the vector in the
direction of the x axis. If |x| > 1, a scaling must be applied in software to adapt it to the q1.31
range of ARG1.
The secondary argument is the y coordinate, that is, the magnitude of the vector in the
direction of the y axis. If |y| > 1, a scaling must be applied in software to adapt it to the q1.31
range of ARG2.
The primary result, RES1, is the modulus, given by: . If |v| > 1 the result in
RES1 is saturated to 1.
The secondary result, RES2, is the phase angle θ of the vector v. RES2 must be multiplied
by π to obtain the angle in radians. Note that values close to π may sometimes wrap to -π
due to the circular nature of the phase angle.
RES2 Modulus m [0, 1]
SCALE Not applicable 0
Table 106. Modulus parameters
Parameter Description Range
ARG1 x coordinate [-1, 1]
ARG2 y coordinate [-1, 1]
RES1 Modulus m [0, 1]
RES2 Phase angle θ [-1, 1]
SCALE Not applicable 0
Table 105. Phase parameters (continued)
Parameter Description Range
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