.TH "src/include/serif/solver/nonlinear/steps.hpp" 3 "Version v0.0.1a" "SERiF" \" -*- nroff -*-
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.SH NAME
src/include/serif/solver/nonlinear/steps.hpp
.SH SYNOPSIS
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.PP
\fR#include <limits>\fP
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\fR#include 'serif/solver/nonlinear/qualification\&.hpp'\fP
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.SS "Classes"

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.ti -1c
.RI "struct \fBserif::solver::detail::InitialEvaluation< System >\fP"
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.RI "Keep a freshly qualified metric beside the exact system from which it was measured\&. "
.ti -1c
.RI "struct \fBserif::solver::detail::QualifiedStep< State, System, Prepared >\fP"
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.RI "Own a qualified trial; a terminal root deliberately has no prepared inverse\&. "
.in -1c
.SS "Namespaces"

.in +1c
.ti -1c
.RI "namespace \fBserif\fP"
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.ti -1c
.RI "namespace \fBserif::solver\fP"
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.ti -1c
.RI "namespace \fBserif::solver::detail\fP"
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.in -1c
.SS "Functions"

.in +1c
.ti -1c
.RI "void \fBserif::solver::detail::validate_start\fP (const auto &options, const std::optional< \fBNewtonProgress\fP > &restart, std::size_t size)"
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.RI "Validate controls and restored history before any physical preparation\&. "
.ti -1c
.RI "template<typename Problem> std::expected< \fBInitialEvaluation\fP< typename Problem::System >, \fBNewtonFailure\fP > \fBserif::solver::detail::evaluate_start\fP (Problem &problem, auto &state, auto &options, const std::optional< \fBNewtonProgress\fP > &restart, \fBSolveDiagnostics\fP &diagnostics)"
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.RI "Qualify the initial state and verify a restart against its original convergence reference\&. "
.ti -1c
.RI "std::expected< \fBDirectionAssessment\fP, \fBNewtonFailure\fP > \fBserif::solver::detail::compute_direction\fP (auto &problem, const auto &\fBaccepted\fP, const auto &prepared, auto &options, \fBSolveDiagnostics\fP &diagnostics, auto &rhs, auto &correction, std::span< double > physical_direction)"
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.RI "Solve and qualify a normalized correction before exposing its physical direction to backtracking\&. "
.ti -1c
.RI "template<typename Problem, typename State, typename System, typename Model> auto \fBserif::solver::detail::find_acceptable_step\fP (Problem &problem, const \fBSolveResult\fP< State, System, Model > &\fBaccepted\fP, \fBMetricEvaluation\fP accepted_metric, const auto &correction, std::span< const double > physical_direction, const \fBDirectionAssessment\fP &direction, double step, auto &options, \fBSolveDiagnostics\fP &diagnostics, auto &observation)"
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.RI "Find a safe, sufficiently decreasing candidate without changing the accepted state\&. "
.ti -1c
.RI "void \fBserif::solver::detail::save_progress\fP (auto &result, auto &options, \fBSolveDiagnostics\fP &diagnostics, \fBMetricEvaluation\fP metric, std::span< const double > correction, double next_step)"
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.RI "Snapshot only fully committed numerical history; reporting has no influence on restart\&. "
.in -1c
.SH "Author"
.PP 
Generated automatically by Doxygen for SERiF from the source code\&.