module #include "diplib/math.h"
Trigonometric operators Monadic and dyadic image trigonometric operators and other complex functions.
Contents
 Reference
Functions

void dip::
Sin (dip::Image const& in, dip::Image& out)  Computes the sine of each sample.

void dip::
Cos (dip::Image const& in, dip::Image& out)  Computes the cosine of each sample.

void dip::
Tan (dip::Image const& in, dip::Image& out)  Computes the tangent of each sample.

void dip::
Asin (dip::Image const& in, dip::Image& out)  Computes the arc sine of each sample.

void dip::
Acos (dip::Image const& in, dip::Image& out)  Computes the arc cosine of each sample.

void dip::
Atan (dip::Image const& in, dip::Image& out)  Computes the arc tangent of each sample.

void dip::
Sinh (dip::Image const& in, dip::Image& out)  Computes the hyperbolic sine of each sample.

void dip::
Cosh (dip::Image const& in, dip::Image& out)  Computes the hyperbolic cosine of each sample.

void dip::
Tanh (dip::Image const& in, dip::Image& out)  Computes the hyperbolic tangent of each sample.

void dip::
BesselJ0 (dip::Image const& in, dip::Image& out)  Computes the Bessel functions of the first kind of each sample, of order alpha = 0. Precise up to about 7 digits.

void dip::
BesselJ1 (dip::Image const& in, dip::Image& out)  Computes the Bessel functions of the first kind of each sample, of order alpha = 1. Precise up to about 7 digits.

void dip::
BesselJN (dip::Image const& in, dip::Image& out, dip::uint alpha)  Computes the Bessel functions of the first kind of each sample, of order
alpha
. Precise up to about 7 digits. 
void dip::
BesselY0 (dip::Image const& in, dip::Image& out)  Computes the Bessel functions of the second kind of each sample, of order alpha = 0. Precise up to about 7 digits.

void dip::
BesselY1 (dip::Image const& in, dip::Image& out)  Computes the Bessel functions of the second kind of each sample, of order alpha = 1. Precise up to about 7 digits.

void dip::
BesselYN (dip::Image const& in, dip::Image& out, dip::uint alpha)  Computes the Bessel functions of the second kind of each sample, of order
alpha
. Precise up to about 7 digits. 
void dip::
LnGamma (dip::Image const& in, dip::Image& out)  Computes the natural logarithm of the gamma function of each sample.

void dip::
Erf (dip::Image const& in, dip::Image& out)  Computes the error function of each sample.

void dip::
Erfc (dip::Image const& in, dip::Image& out)  Computes the complementary error function of each sample.

void dip::
Sinc (dip::Image const& in, dip::Image& out)  Computes the sinc function of each sample. .

void dip::
Atan2 (dip::Image const& y, dip::Image const& x, dip::Image& out)  Computes the fourquadrant arc tangent of
y/x
. 
void dip::
Hypot (dip::Image const& a, dip::Image const& b, dip::Image& out)  Computes the square root of the sum of the squares of corresponding samples in
a
andb
.
Function documentation
void
dip::Atan2 (dip::Image const& y,
dip::Image const& x,
dip::Image& out)
Computes the fourquadrant arc tangent of y/x
.
The operation can be understood as the angle of the vector formed by the two input images. The result is always in the range . The inputs must be a real type.
void
dip::Hypot (dip::Image const& a,
dip::Image const& b,
dip::Image& out)
Computes the square root of the sum of the squares of corresponding samples in a
and b
.
The computation is performed carefully, so there is no undue overflow or underflow at intermediate stages of the computation. The inputs must be a real type.