Functions | |
double | itpp::cheb (int n, double x) |
Chebyshev polynomial of the first kind. | |
vec | itpp::cheb (int n, const vec &x) |
Chebyshev polynomial of the first kind. | |
mat | itpp::cheb (int n, const mat &x) |
Chebyshev polynomial of the first kind. | |
void | itpp::poly (const vec &r, vec &p) |
Create a polynomial of the given roots. | |
void | itpp::poly (const cvec &r, cvec &p) |
Create a polynomial of the given roots. | |
vec | itpp::poly (const vec &r) |
Create a polynomial of the given roots. | |
cvec | itpp::poly (const cvec &r) |
Create a polynomial of the given roots. | |
void | itpp::roots (const vec &p, cvec &r) |
Calculate the roots of the polynomial. | |
void | itpp::roots (const cvec &p, cvec &r) |
Calculate the roots of the polynomial. | |
cvec | itpp::roots (const vec &p) |
Calculate the roots of the polynomial. | |
cvec | itpp::roots (const cvec &p) |
Calculate the roots of the polynomial. | |
vec | itpp::polyval (const vec &p, const vec &x) |
Evaluate polynomial. | |
cvec | itpp::polyval (const vec &p, const cvec &x) |
Evaluate polynomial. | |
cvec | itpp::polyval (const cvec &p, const vec &x) |
Evaluate polynomial. | |
cvec | itpp::polyval (const cvec &p, const cvec &x) |
Evaluate polynomial. | |
ITPP_EXPORT void itpp::poly | ( | const vec & | r, |
vec & | p ) |
Create a polynomial of the given roots.
Create a polynomial p
with roots r
Definition at line 40 of file poly.cpp.
Referenced by itpp::poly(), itpp::poly(), itpp::polystab(), itpp::polystab(), itpp::CRC_Code::set_code(), and itpp::CRC_Code::set_generator().
ITPP_EXPORT void itpp::roots | ( | const vec & | p, |
cvec & | r ) |
Calculate the roots of the polynomial.
Calculate the roots r
of the polynomial p
Definition at line 66 of file poly.cpp.
References itpp::concat(), itpp::diag(), itpp::eig(), itpp::find(), itpp::ones(), and itpp::zeros_c().
Referenced by itpp::polystab(), itpp::polystab(), itpp::roots(), itpp::roots(), and itpp::Turbo_Codec::wcdma_turbo_interleaver_sequence().
ITPP_EXPORT vec itpp::polyval | ( | const vec & | p, |
const vec & | x ) |
Evaluate polynomial.
Evaluate the polynomial p
(of length x
The output is given by
Definition at line 135 of file poly.cpp.
References itpp::elem_mult(), and it_error_if.
Referenced by itpp::freqz(), and itpp::freqz().
ITPP_EXPORT double itpp::cheb | ( | int | n, |
double | x ) |
Chebyshev polynomial of the first kind.
Chebyshev polynomials of the first kind can be defined as follows:
n | order of the Chebyshev polynomial |
x | value at which the Chebyshev polynomial is to be evaluated |
Definition at line 195 of file poly.cpp.
References itpp::acosh(), itpp::is_even(), and it_assert.
Referenced by itpp::cheb(), itpp::cheb(), and itpp::chebwin().
ITPP_EXPORT vec itpp::cheb | ( | int | n, |
const vec & | x ) |
Chebyshev polynomial of the first kind.
Chebyshev polynomials of the first kind can be defined as follows:
n | order of the Chebyshev polynomial |
x | vector of values at which the Chebyshev polynomial is to be evaluated |
x
Definition at line 209 of file poly.cpp.
References itpp::cheb(), and it_assert_debug.
ITPP_EXPORT mat itpp::cheb | ( | int | n, |
const mat & | x ) |
Chebyshev polynomial of the first kind.
Chebyshev polynomials of the first kind can be defined as follows:
n | order of the Chebyshev polynomial |
x | matrix of values at which the Chebyshev polynomial is to be evaluated |
x
.Definition at line 220 of file poly.cpp.
References itpp::cheb(), and it_assert_debug.
ITPP_EXPORT void itpp::poly | ( | const cvec & | r, |
cvec & | p ) |
ITPP_EXPORT void itpp::roots | ( | const cvec & | p, |
cvec & | r ) |
Calculate the roots of the polynomial.
Calculate the roots r
of the polynomial p
Definition at line 99 of file poly.cpp.
References itpp::concat(), itpp::diag(), itpp::eig(), itpp::ones_c(), and itpp::zeros_c().
ITPP_EXPORT cvec itpp::polyval | ( | const vec & | p, |
const cvec & | x ) |
Evaluate polynomial.
Evaluate the polynomial p
(of length x
The output is given by
Definition at line 150 of file poly.cpp.
References itpp::elem_mult(), and it_error_if.
ITPP_EXPORT cvec itpp::polyval | ( | const cvec & | p, |
const vec & | x ) |
Evaluate polynomial.
Evaluate the polynomial p
(of length x
The output is given by
Definition at line 165 of file poly.cpp.
References itpp::elem_mult(), it_error_if, and itpp::to_cvec().
ITPP_EXPORT cvec itpp::polyval | ( | const cvec & | p, |
const cvec & | x ) |
Evaluate polynomial.
Evaluate the polynomial p
(of length x
The output is given by
Definition at line 180 of file poly.cpp.
References itpp::elem_mult(), and it_error_if.
|
inline |
Create a polynomial of the given roots.
Create a polynomial p
with roots r
Definition at line 47 of file poly.h.
References itpp::poly().
|
inline |
Create a polynomial of the given roots.
Create a polynomial p
with roots r
Definition at line 49 of file poly.h.
References itpp::poly().
|
inline |
Calculate the roots of the polynomial.
Calculate the roots r
of the polynomial p
Definition at line 62 of file poly.h.
References itpp::roots().
|
inline |
Calculate the roots of the polynomial.
Calculate the roots r
of the polynomial p
Definition at line 64 of file poly.h.
References itpp::roots().
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