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VOOZH | about |
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VOOZH | about |
The arctangent is the inverse of the tangent function. It returns the angle whose tangent is the given number.
catan() is an inbuilt function in <complex.h> header file which returns the complex inverse tangent (or arc tangent) of any constant, which divides the imaginary axis on the basis of the inverse tangent in the closed interval [-i, +i] (where i stands for iota), used for evaluation of a complex object say z is on imaginary axis whereas to determine a complex object which is real or integer, then internally invokes pre-defined methods as:
| S.No. | Method | Return Type |
1. | atan() function takes a complex z of datatype double which determine arc tangent for real complex numbers | Returns complex arc tangent lies in a range along real axis [-PI/2, +PI/2] for an argument of type double. |
2. | atanf() function takes a complex z of datatype float double which determine arc tangent for real complex numbers. | Returns complex arc tangent lies in a range along real axis [-PI/2, +PI/2] for an argument of type float. |
3. | atanl() function takes a complex z of datatype long double which determine arc tangent for real complex numbers | Returns complex arc tangent lies in a range along real axis [-PI/2, +PI/2] for an argument of type long double. |
4. | catan() function takes a complex z of datatype double which also allows imaginary part of complex numbers | Returns complex arc tangent lies in a range along imaginary axis [-i, +i] for a complex object of type double |
5. | catanf() function takes a complex z of datatype float double which also allows imaginary part of complex numbers | Returns complex arc tangent lies in a range along imaginary axis [-i, +i] for a complex object of type float |
6. | catanl() function takes a complex z of datatype long double which also allows imaginary part of complex numbers | Returns complex arc tangent lies in a range along imaginary axis [-i, +i] for a complex object of type long double |
Syntax:
atan(double arg);
atanf(float arg);
atanl(long double arg);
where arg is a floating-point value
catan(double complex z);
catanf(float complex z);
catanl( long double complex z);
where z is a Type – generic macro
Parameter: These functions accept one mandatory parameter z which specifies the inverse tangent. The parameter can be of double, float, or long double datatype.
Return Value: This function returns complex arc tangent/arc tangent according to the type of the argument passed.
Below are the programs illustrate the above method:
: This program will illustrate the functions atan(), atanf(), and atanl() computes the principal value of the arc tangent of floating – point argument. If a range error occurs due to underflow, the correct result after rounding off is returned.
atan(1) = 0.785398, 4*atan(1)=3.141593 atan(-0.0) = -0.000000, atan(+0.0) = +0.000000 atan(Inf) = 1.570796, 2*atan(Inf) = 3.141593 atanf(1.1) = 0.832981, 4*atanf(1.5)=3.931175 atanf(-0.3) = -0.291457, atanf(+0.3) = +0.291457 atanf(Inf) = 1.570796, 2*atanf(Inf) = 3.141593 atanl(1.1) = 0.832981, 4*atanl(1.7)=4.156289 atanl(-1.3) = -0.915101, atanl(+0.3) = +0.291457 atanl(Inf) = 1.570796, 2*atanl(Inf) = 3.141593
: This program will illustrate the functions catan(), catanf(), and catanl() computes the principal value of the arc tangent of complex number as argument.
catan(+0 + 2i) = 1.570796 + 0.549306i 2*catan(+0 + i*Inf) = 3.141593+0.000000i catanf(+0 + 2i) = 1.570796 + 0.549306i 2*catanf(+0 + i*Inf) = 3.141593 + 0.000000i catan(+0+2i) = 1.570796+0.549306i 2*catanl(+0 + i*Inf) = 3.141593 + 0.000000i
: This program will illustrate the functions catanh(), catanhf(), and catanhl() computes the complex arc hyperbolic tangent of z along the real axis and in the interval [-i*PI/2, +i*PI/2] along the imaginary axis.
catanh(+2+0i) = 0.549306+1.570796i catanh(1+2i) = 0.173287+1.178097i catanhf(+2+0i) = 0.549306+1.570796i catanhf(1+2i) = 0.173287+1.178097i catanhl(+2+0i) = 0.549306+1.570796i catanhl(1+2i) = 0.173287+1.178097i
