.TH "serif::discretization::reconstruction::SurfacePowerProfile" 3 "Version v0.0.1a" "SERiF" \" -*- nroff -*-
.ad l
.nh
.SH NAME
serif::discretization::reconstruction::SurfacePowerProfile \- Complete nodal basis whose homogeneous surface trace spans t^n times degree-(p-1) polynomials\&.  

.SH SYNOPSIS
.br
.PP
.PP
\fR#include <surface_power\&.hpp>\fP
.PP
Inherits \fBserif::discretization::reconstruction::RadialProfile\fP\&.
.SS "Public Member Functions"

.in +1c
.ti -1c
.RI "\fBSurfacePowerProfile\fP (double \fBdensity_exponent\fP)"
.br
.RI "Require a finite exponent with a finite density gradient at the surface\&. "
.ti -1c
.RI "std::string_view \fBname\fP () const noexcept override"
.br
.RI "Return the stable numerical-form name\&. "
.ti -1c
.RI "double \fBdensity_exponent\fP () const noexcept"
.br
.RI "Return the density's leading surface exponent, rather than the weight's exponent\&. "
.ti -1c
.RI "void \fBevaluate\fP (std::span< const double > nodes, double inward_coordinate, std::span< double > values, std::span< double > derivatives) const override"
.br
.RI "Evaluate the complete lifting rho_s + sum_i psi_i (rho_i-rho_s), including analytic endpoint limits\&. "
.in -1c

Public Member Functions inherited from \fBserif::discretization::reconstruction::RadialProfile\fP
.in +1c
.ti -1c
.RI "virtual \fB~RadialProfile\fP ()=default"
.br
.RI "Release a profile through its immutable shared owner\&. "
.in -1c
.SS "Private Attributes"

.in +1c
.ti -1c
.RI "double \fBm_exponent\fP"
.br
.in -1c
.SH "Detailed Description"
.PP 
Complete nodal basis whose homogeneous surface trace spans t^n times degree-(p-1) polynomials\&. 
.SH "Constructor & Destructor Documentation"
.PP 
.SS "serif::discretization::reconstruction::SurfacePowerProfile::SurfacePowerProfile (double density_exponent)\fR [inline]\fP, \fR [explicit]\fP"

.PP
Require a finite exponent with a finite density gradient at the surface\&. 
.SH "Member Function Documentation"
.PP 
.SS "double serif::discretization::reconstruction::SurfacePowerProfile::density_exponent () const\fR [inline]\fP, \fR [nodiscard]\fP, \fR [noexcept]\fP"

.PP
Return the density's leading surface exponent, rather than the weight's exponent\&. 
.SS "void serif::discretization::reconstruction::SurfacePowerProfile::evaluate (std::span< const double > nodes, double inward_coordinate, std::span< double > values, std::span< double > derivatives) const\fR [inline]\fP, \fR [override]\fP, \fR [virtual]\fP"

.PP
Evaluate the complete lifting rho_s + sum_i psi_i (rho_i-rho_s), including analytic endpoint limits\&. 
.PP
Implements \fBserif::discretization::reconstruction::RadialProfile\fP\&.
.SS "std::string_view serif::discretization::reconstruction::SurfacePowerProfile::name () const\fR [inline]\fP, \fR [nodiscard]\fP, \fR [override]\fP, \fR [virtual]\fP, \fR [noexcept]\fP"

.PP
Return the stable numerical-form name\&. 
.PP
Implements \fBserif::discretization::reconstruction::RadialProfile\fP\&.
.SH "Member Data Documentation"
.PP 
.SS "double serif::discretization::reconstruction::SurfacePowerProfile::m_exponent\fR [private]\fP"


.SH "Author"
.PP 
Generated automatically by Doxygen for SERiF from the source code\&.