MPSolve 3.2.1
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Horner implementation for Monomial polynomials. More...
Go to the source code of this file.
Functions | |
MPS_BEGIN_DECLS void | mps_parhorner (mps_context *st, int n, mpc_t x, mpc_t p[], mps_boolean b[], mpc_t s, int n_thread) |
void | mps_aparhorner (mps_context *st, int n, rdpe_t x, rdpe_t p[], mps_boolean b[], rdpe_t s, int n_thread) |
void | mps_fhorner (mps_context *s, mps_monomial_poly *p, cplx_t x, cplx_t value) |
Evaluate the polynomial p in the point x. More... | |
void | mps_fhorner_with_error (mps_context *s, mps_monomial_poly *p, cplx_t x, cplx_t value, double *relative_error) |
Evaluate the polynomial p in the point x, and give also a bound to the relative error occured in the computation. More... | |
void | mps_dhorner (mps_context *s, mps_monomial_poly *p, cdpe_t x, cdpe_t value) |
Evaluate the polynomial p in the point x. More... | |
void | mps_dhorner_with_error (mps_context *s, mps_monomial_poly *p, cdpe_t x, cdpe_t value, rdpe_t relative_error) |
Evaluate the polynomial p in the point x, and give also a bound to the relative error occured in the computation. More... | |
void | mps_mhorner (mps_context *s, mps_monomial_poly *p, mpc_t x, mpc_t value) |
Compute the value of the polynomial p in the point x and save it in value . If you need a bound to the relative error, try mps_mhorner_with_error(). More... | |
void | mps_mhorner_with_error (mps_context *s, mps_monomial_poly *p, mpc_t x, mpc_t value, rdpe_t relative_error, long int wp) |
Compute the value of the polynomial p in the point x and save it in value . More... | |
void | mps_mhorner_with_error2 (mps_context *s, mps_monomial_poly *p, mpc_t x, mpc_t value, rdpe_t relative_error, long int wp) |
Compute the value of the polynomial p in the point x and save it in value . More... | |
Horner implementation for Monomial polynomials.
void mps_dhorner | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
cdpe_t | x, | ||
cdpe_t | value | ||
) |
Evaluate the polynomial p in the point x.
s | The mps_context of the computation. |
p | The mps_monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
value | The value computed by the function. |
void mps_dhorner_with_error | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
cdpe_t | x, | ||
cdpe_t | value, | ||
rdpe_t | error | ||
) |
Evaluate the polynomial p in the point x, and give also a bound to the relative error occured in the computation.
s | The mps_context of the computation. |
p | The mps_monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
value | The value computed by the function. |
error | A bound to the absolute error of the computation. |
void mps_fhorner | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
cplx_t | x, | ||
cplx_t | value | ||
) |
Evaluate the polynomial p in the point x.
s | The mps_context of the computation. |
p | The mps_monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
value | The value computed by the function. |
void mps_fhorner_with_error | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
cplx_t | x, | ||
cplx_t | value, | ||
double * | error | ||
) |
Evaluate the polynomial p in the point x, and give also a bound to the relative error occured in the computation.
s | The mps_context of the computation. |
p | The mps_monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
error | A pointer to the location when an upper bound to the computation error will be stored. |
value | The value computed by the function. |
void mps_mhorner | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
mpc_t | x, | ||
mpc_t | value | ||
) |
Compute the value of the polynomial p
in the point x
and save it in value
. If you need a bound to the relative error, try mps_mhorner_with_error().
s | The mps_context of the computation. |
p | The monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
value | The multiprecision complex variable where the result will be stored. |
void mps_mhorner_with_error | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
mpc_t | x, | ||
mpc_t | value, | ||
rdpe_t | relative_error, | ||
long int | wp | ||
) |
Compute the value of the polynomial p
in the point x
and save it in value
.
A upper bound to the relative error of the evaluation will be stored in relative_error
.
s | The mps_context of the computation. |
p | The monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
value | The multiprecision complex variable where the result will be stored. |
relative_error | The RDPE where the relative error will be saved. |
wp | The working precision to use for the computation. If this value is 0 then s->mpwp will be used. |
void mps_mhorner_with_error2 | ( | mps_context * | s, |
mps_monomial_poly * | p, | ||
mpc_t | x, | ||
mpc_t | value, | ||
rdpe_t | error, | ||
long int | wp | ||
) |
Compute the value of the polynomial p
in the point x
and save it in value
.
A upper bound to the relative error of the evaluation will be stored in relative_error
. The error is computed using the formula
where
s | The mps_context of the computation. |
p | The monomial_poly to evaluate. |
x | The point where the polynomial will be evaluated. |
value | The multiprecision complex variable where the result will be stored. |
error | The RDPE where the absolute error will be saved. |
wp | The working precision to use for the computation. If this value is 0 then s->mpwp will be used. |