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809 lines
17 KiB
809 lines
17 KiB
//========= Copyright c 1996-2008, Valve Corporation, All rights reserved. ============//
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#include "tier0/platform.h"
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#include "tier0/dbg.h"
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#include "mathlib/mathlib.h"
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#include "mathlib/noise.h"
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#include "mathlib/vector.h"
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#include "mathlib/expressioncalculator.h"
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#include <ctype.h>
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// memdbgon must be the last include file in a .cpp file!!!
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#include "tier0/memdbgon.h"
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//-----------------------------------------------------------------------------
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// Parsing helper methods
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//-----------------------------------------------------------------------------
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bool ParseLiteral( const char *&expr, float &value )
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{
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const char *startExpr = expr;
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value = ( float )strtod( startExpr, const_cast< char** >( &expr ) );
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return ( startExpr != expr );
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}
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bool ParseString( const char *&expr, const char *str )
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{
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const char *startExpr = expr;
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while ( ( *expr == ' ' ) || ( *expr == '\t' ) )
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expr++; // skip whitespace
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expr = StringAfterPrefix( expr, str );
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if ( expr )
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return true;
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expr = startExpr;
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return false;
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}
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bool ParseStringList( const char *&expr, const char **pOps, int &nOp )
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{
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while ( nOp-- )
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{
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if ( ParseString( expr, pOps[ nOp ] ) )
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return true;
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}
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return false;
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}
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bool ParseStringList( const char *&expr, const CUtlVector< CUtlString > &strings, int &nOp )
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{
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while ( nOp-- )
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{
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if ( ParseString( expr, strings[ nOp ] ) )
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return true;
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}
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return false;
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}
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int FindString( const CUtlVector< CUtlString > &strings, const char *str )
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{
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uint sn = strings.Count();
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for ( uint si = 0; si < sn; ++si )
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{
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if ( !Q_strcmp( str, strings[ si ] ) )
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return si;
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}
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return -1;
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}
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class ParseState_t
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{
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public:
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ParseState_t( const CUtlStack<float> &stack, const char *expr )
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: m_stacksize( stack.Count() ), m_startingExpr( expr ) {}
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void Reset( CUtlStack<float> &stack, const char *&expr )
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{
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Assert( m_stacksize <= stack.Count() );
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stack.PopMultiple( stack.Count() - m_stacksize );
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expr = m_startingExpr;
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}
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private:
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int m_stacksize;
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const char* m_startingExpr;
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};
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void CExpressionCalculator::SetVariable( int nVariableIndex, float value )
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{
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m_varValues[ nVariableIndex ] = value;
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}
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void CExpressionCalculator::SetVariable( const char *var, float value )
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{
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int vi = FindString( m_varNames, var );
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if ( vi >= 0 )
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{
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m_varValues[ vi ] = value;
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}
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else
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{
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m_varNames.AddToTail( var );
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m_varValues.AddToTail( value );
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}
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}
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void CExpressionCalculator::ModifyVariable( const char *var, float value )
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{
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int vi = FindString( m_varNames, var );
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if ( vi >= 0 )
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{
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m_varValues[ vi ] += value;
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}
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else
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{
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SetVariable( var, value );
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}
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}
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int CExpressionCalculator::FindVariableIndex( const char *var )
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{
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return FindString( m_varNames, var );
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}
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bool CExpressionCalculator::Evaluate( float &value )
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{
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m_bIsBuildingArgumentList = false;
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m_stack.PopMultiple( m_stack.Count() );
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const char *pExpr = m_expr.Get();
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bool success = ParseExpr( pExpr );
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if ( success && m_stack.Count() == 1 )
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{
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value = m_stack.Top();
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return true;
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}
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value = 0.0f;
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return false;
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}
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//-----------------------------------------------------------------------------
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// Builds a list of variable names from the expression
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//-----------------------------------------------------------------------------
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bool CExpressionCalculator::BuildVariableListFromExpression( )
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{
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m_bIsBuildingArgumentList = true;
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m_stack.PopMultiple( m_stack.Count() );
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const char *pExpr = m_expr.Get();
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bool bSuccess = ParseExpr( pExpr );
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m_bIsBuildingArgumentList = false;
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if ( !bSuccess || m_stack.Count() != 1 )
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{
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m_varNames.RemoveAll();
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return false;
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}
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return true;
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}
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//-----------------------------------------------------------------------------
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// Iterate over variables
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//-----------------------------------------------------------------------------
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int CExpressionCalculator::VariableCount()
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{
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return m_varNames.Count();
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}
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const char *CExpressionCalculator::VariableName( int nIndex )
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{
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return m_varNames[nIndex];
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}
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bool CExpressionCalculator::ParseExpr( const char *&expr )
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{
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return ( expr != NULL ) && ParseConditional( expr );
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}
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bool CExpressionCalculator::ParseConditional( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseOr( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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ParseState_t ps1( m_stack, expr );
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if ( ParseString( expr, "?" ) &&
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ParseExpr( expr ) &&
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ParseString( expr, ":" ) &&
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ParseExpr( expr ) )
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{
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float f3 = m_stack.Top();
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m_stack.Pop();
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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m_stack.Push( f1 != 0.0f ? f2 : f3 );
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return true; // and matched
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}
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ps1.Reset( m_stack, expr );
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return true; // equality (or lower) matched
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}
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bool CExpressionCalculator::ParseOr( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseAnd( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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ParseState_t ps1( m_stack, expr );
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if ( ParseString( expr, "||" ) &&
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ParseOr( expr ) )
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{
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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m_stack.Push( ( f1 != 0.0f ) || ( f2 != 0.0f ) ? 1 : 0 );
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return true; // and matched
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}
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ps1.Reset( m_stack, expr );
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return true; // equality (or lower) matched
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}
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bool CExpressionCalculator::ParseAnd( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseEquality( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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ParseState_t ps1( m_stack, expr );
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if ( ParseString( expr, "&&" ) &&
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ParseAnd( expr ) )
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{
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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m_stack.Push( ( f1 != 0.0f ) && ( f2 != 0.0f ) ? 1 : 0 );
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return true; // and matched
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}
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ps1.Reset( m_stack, expr );
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return true; // equality (or lower) matched
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}
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bool CExpressionCalculator::ParseEquality( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseLessGreater( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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const char *pOps[] = { "==", "!=" };
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int nOp = 2;
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ParseState_t ps1( m_stack, expr );
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if ( ParseStringList( expr, pOps, nOp ) &&
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ParseEquality( expr ) )
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{
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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switch ( nOp )
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{
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case 0: // ==
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m_stack.Push( f1 == f2 ? 1 : 0 );
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break;
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case 1: // !=
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m_stack.Push( f1 != f2 ? 1 : 0 );
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break;
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}
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return true; // equality matched
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}
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ps1.Reset( m_stack, expr );
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return true; // lessgreater (or lower) matched
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}
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bool CExpressionCalculator::ParseLessGreater( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseAddSub( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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const char *pOps[] = { "<", ">", "<=", ">=" };
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int nOp = 4;
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ParseState_t ps1( m_stack, expr );
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if ( ParseStringList( expr, pOps, nOp ) &&
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ParseLessGreater( expr ) )
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{
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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switch ( nOp )
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{
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case 0: // <
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m_stack.Push( f1 < f2 ? 1 : 0 );
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break;
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case 1: // >
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m_stack.Push( f1 > f2 ? 1 : 0 );
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break;
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case 2: // <=
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m_stack.Push( f1 <= f2 ? 1 : 0 );
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break;
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case 3: // >=
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m_stack.Push( f1 >= f2 ? 1 : 0 );
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break;
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}
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return true; // inequality matched
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}
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ps1.Reset( m_stack, expr );
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return true; // addsub (or lower) matched
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}
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bool CExpressionCalculator::ParseAddSub( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseDivMul( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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const char *pOps[] = { "+", "-" };
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int nOp = 2;
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ParseState_t ps1( m_stack, expr );
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if ( ParseStringList( expr, pOps, nOp ) &&
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ParseAddSub( expr ) )
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{
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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switch ( nOp )
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{
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case 0: // +
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m_stack.Push( f1 + f2 );
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break;
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case 1: // -
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m_stack.Push( f1 - f2 );
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break;
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}
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return true; // addsub matched
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}
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ps1.Reset( m_stack, expr );
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return true; // divmul (or lower) matched
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}
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bool CExpressionCalculator::ParseDivMul( const char *&expr )
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{
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ParseState_t ps0( m_stack, expr );
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if ( !ParseUnary( expr ) )
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{
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ps0.Reset( m_stack, expr );
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return false; // nothing matched
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}
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const char *pOps[] = { "*", "/", "%" };
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int nOp = 3;
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ParseState_t ps1( m_stack, expr );
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if ( ParseStringList( expr, pOps, nOp ) &&
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ParseDivMul( expr ) )
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{
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float f2 = m_stack.Top();
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m_stack.Pop();
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float f1 = m_stack.Top();
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m_stack.Pop();
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switch ( nOp )
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{
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case 0: // *
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m_stack.Push( f1 * f2 );
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break;
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case 1: // /
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m_stack.Push( f1 / f2 );
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break;
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case 2: // %
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m_stack.Push( fmod( f1, f2 ) );
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break;
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}
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return true; // divmul matched
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}
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ps1.Reset( m_stack, expr );
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return true; // unary (or lower) matched
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}
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bool CExpressionCalculator::ParseUnary( const char *&expr )
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{
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ParseState_t ps( m_stack, expr );
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const char *pOps[] = { "+", "-", "!" };
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int nOp = 3;
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if ( ParseStringList( expr, pOps, nOp ) &&
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ParseUnary( expr ) )
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{
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float f1 = m_stack.Top();
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m_stack.Pop();
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switch ( nOp )
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{
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case 0: // +
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m_stack.Push( f1 );
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break;
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case 1: // -
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m_stack.Push( -f1 );
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break;
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case 2: // !
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m_stack.Push( f1 == 0 ? 1 : 0 );
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break;
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}
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return true;
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}
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ps.Reset( m_stack, expr );
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if ( ParsePrimary( expr ) )
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return true;
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ps.Reset( m_stack, expr );
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return false;
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}
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bool CExpressionCalculator::ParsePrimary( const char *&expr )
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{
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ParseState_t ps( m_stack, expr );
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float value = 0.0f;
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if ( ParseLiteral( expr, value ) )
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{
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m_stack.Push( value );
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return true;
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}
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ps.Reset( m_stack, expr );
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int nVar = m_varNames.Count();
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if ( ParseStringList( expr, m_varNames, nVar) )
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{
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m_stack.Push( m_varValues[ nVar ] );
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return true;
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}
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ps.Reset( m_stack, expr );
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if ( ParseString( expr, "(" ) &&
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ParseExpr( expr ) &&
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ParseString( expr, ")" ) )
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{
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return true;
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}
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ps.Reset( m_stack, expr );
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if ( Parse1ArgFunc( expr ) ||
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Parse2ArgFunc( expr ) ||
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Parse3ArgFunc( expr ) ||
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// Parse4ArgFunc( expr ) ||
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Parse5ArgFunc( expr ) )
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{
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return true;
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}
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// If we're parsing it to discover names of variable names, add them here
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if ( !m_bIsBuildingArgumentList )
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return false;
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// Variables can't start with a number
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if ( V_isdigit( *expr ) )
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return false;
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const char *pStart = expr;
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while ( V_isalnum( *expr ) || *expr == '_' )
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{
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++expr;
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}
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size_t nLen = (size_t)expr - (size_t)pStart;
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char *pVariableName = (char*)stackalloc( nLen+1 );
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memcpy( pVariableName, pStart, nLen );
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pVariableName[nLen] = 0;
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SetVariable( pVariableName, 0.0f );
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m_stack.Push( 0.0f );
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return true;
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}
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/*
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dtor(d) : converts degrees to radians
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rtod(r) : converts radians to degrees
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abs(a) : absolute value
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floor(a) : rounds down to the nearest integer
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ceiling(a) : rounds up to the nearest integer
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round(a) : rounds to the nearest integer
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sgn(a) : if a < 0 returns -1 else 1
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sqr(a) : returns a * a
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sqrt(a) : returns sqrt(a)
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sin(a) : sin(a), a is in degrees
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asin(a) : asin(a) returns degrees
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cos(a) : cos(a), a is in degrees
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acos(a) : acos(a) returns degrees
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tan(a) : tan(a), a is in degrees
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exp(a) : returns the exponential function of a
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log(a) : returns the natural logaritm of a
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*/
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bool CExpressionCalculator::Parse1ArgFunc( const char *&expr )
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{
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ParseState_t ps( m_stack, expr );
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const char *pFuncs[] =
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{
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"abs", "sqr", "sqrt", "sin", "asin", "cos", "acos", "tan",
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"exp", "log", "dtor", "rtod", "floor", "ceiling", "round", "sign"
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};
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int nFunc = 16;
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if ( ParseStringList( expr, pFuncs, nFunc ) &&
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ParseString( expr, "(" ) &&
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ParseExpr( expr ) &&
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ParseString( expr, ")" ) )
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{
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float f1 = m_stack.Top();
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m_stack.Pop();
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switch ( nFunc )
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{
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case 0: // abs
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m_stack.Push( fabs( f1 ) );
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break;
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case 1: // sqr
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m_stack.Push( f1 * f1 );
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break;
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case 2: // sqrt
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m_stack.Push( sqrt( f1 ) );
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break;
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case 3: // sin
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m_stack.Push( sin( f1 ) );
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break;
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case 4: // asin
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m_stack.Push( asin( f1 ) );
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break;
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case 5: // cos
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m_stack.Push( cos( f1 ) );
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break;
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case 6: // acos
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m_stack.Push( acos( f1 ) );
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break;
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case 7: // tan
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m_stack.Push( tan( f1 ) );
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break;
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case 8: // exp
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m_stack.Push( exp( f1 ) );
|
|
break;
|
|
case 9: // log
|
|
m_stack.Push( log( f1 ) );
|
|
break;
|
|
case 10: // dtor
|
|
m_stack.Push( DEG2RAD( f1 ) );
|
|
break;
|
|
case 11: // rtod
|
|
m_stack.Push( RAD2DEG( f1 ) );
|
|
break;
|
|
case 12: // floor
|
|
m_stack.Push( floor( f1 ) );
|
|
break;
|
|
case 13: // ceiling
|
|
m_stack.Push( ceil( f1 ) );
|
|
break;
|
|
case 14: // round
|
|
m_stack.Push( floor( f1 + 0.5f ) );
|
|
break;
|
|
case 15: // sign
|
|
m_stack.Push( f1 >= 0.0f ? 1.0f : -1.0f );
|
|
break;
|
|
}
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
/*
|
|
min(a,b) : if a<b returns a else b
|
|
max(a,b) : if a>b returns a else b
|
|
atan2(a,b) : atan2(a/b) returns degrees
|
|
pow(a,b) : function returns a raised to the power of b
|
|
*/
|
|
bool CExpressionCalculator::Parse2ArgFunc( const char *&expr )
|
|
{
|
|
ParseState_t ps( m_stack, expr );
|
|
|
|
const char *pFuncs[] = { "min", "max", "atan2", "pow" };
|
|
int nFunc = 4;
|
|
|
|
if ( ParseStringList( expr, pFuncs, nFunc ) &&
|
|
ParseString( expr, "(" ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, ")" ) )
|
|
{
|
|
float f2 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f1 = m_stack.Top();
|
|
m_stack.Pop();
|
|
switch ( nFunc )
|
|
{
|
|
case 0: // min
|
|
m_stack.Push( MIN( f1, f2 ) );
|
|
break;
|
|
case 1: // max
|
|
m_stack.Push( MAX( f1, f2 ) );
|
|
break;
|
|
case 2: // atan2
|
|
m_stack.Push( atan2( f1, f2 ) );
|
|
break;
|
|
case 3: // pow
|
|
m_stack.Push( pow( f1, f2 ) );
|
|
break;
|
|
}
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
/*
|
|
inrange(x,a,b) : if x is between a and b, returns 1 else returns 0
|
|
clamp(x,a,b) : see bound() above
|
|
|
|
ramp(value,a,b) : returns 0 -> 1 as value goes from a to b
|
|
lerp(factor,a,b) : returns a -> b as value goes from 0 to 1
|
|
|
|
cramp(value,a,b) : clamp(ramp(value,a,b),0,1)
|
|
clerp(factor,a,b) : clamp(lerp(factor,a,b),a,b)
|
|
|
|
elerp(x,a,b) : ramp( 3*x*x - 2*x*x*x, a, b)
|
|
//elerp(factor,a,b) : lerp(lerp(sind(clerp(factor,-90,90)),0.5,1.0),a,b)
|
|
|
|
noise(a,b,c) : { solid noise pattern (improved perlin noise) indexed with three numbers }
|
|
*/
|
|
|
|
float ramp( float x, float a, float b )
|
|
{
|
|
return ( x - a ) / ( b - a );
|
|
}
|
|
|
|
float lerp( float x, float a, float b )
|
|
{
|
|
return a + x * ( b - a );
|
|
}
|
|
|
|
float smoothstep( float x )
|
|
{
|
|
return 3*x*x - 2*x*x*x;
|
|
}
|
|
|
|
bool CExpressionCalculator::Parse3ArgFunc( const char *&expr )
|
|
{
|
|
ParseState_t ps( m_stack, expr );
|
|
|
|
const char *pFuncs[] = { "inrange", "clamp", "ramp", "lerp", "cramp", "clerp", "elerp", "noise" };
|
|
int nFunc = 8;
|
|
|
|
if ( ParseStringList( expr, pFuncs, nFunc ) &&
|
|
ParseString( expr, "(" ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, ")" ) )
|
|
{
|
|
float f3 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f2 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f1 = m_stack.Top();
|
|
m_stack.Pop();
|
|
switch ( nFunc )
|
|
{
|
|
case 0: // inrange
|
|
m_stack.Push( ( f1 >= f2 ) && ( f1 <= f3 ) ? 1.0f : 0.0f );
|
|
break;
|
|
case 1: // clamp
|
|
m_stack.Push( clamp( f1, f2, f3 ) );
|
|
break;
|
|
case 2: // ramp
|
|
m_stack.Push( ramp( f1, f2, f3 ) );
|
|
break;
|
|
case 3: // lerp
|
|
m_stack.Push( lerp( f1, f2, f3 ) );
|
|
break;
|
|
case 4: // cramp
|
|
m_stack.Push( clamp( ramp( f1, f2, f3 ), 0, 1 ) );
|
|
break;
|
|
case 5: // clerp
|
|
m_stack.Push( clamp( lerp( f1, f2, f3 ), f2, f3 ) );
|
|
break;
|
|
case 6: // elerp
|
|
m_stack.Push( lerp( smoothstep( f1 ), f2, f3 ) );
|
|
break;
|
|
case 7: // noise
|
|
m_stack.Push( ImprovedPerlinNoise( Vector( f1, f2, f3 ) ) );
|
|
break;
|
|
}
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
//bool CExpressionCalculator::Parse4ArgFunc( const char *&expr );
|
|
|
|
/*
|
|
rescale (X,Xa,Xb,Ya,Yb) : lerp(ramp(X,Xa,Xb),Ya,Yb)
|
|
crescale(X,Xa,Xb,Ya,Yb) : clamp(rescale(X,Xa,Xb,Ya,Yb),Ya,Yb)
|
|
*/
|
|
float rescale( float x, float a, float b, float c, float d )
|
|
{
|
|
return lerp( ramp( x, a, b ), c, d );
|
|
}
|
|
|
|
bool CExpressionCalculator::Parse5ArgFunc( const char *&expr )
|
|
{
|
|
ParseState_t ps( m_stack, expr );
|
|
|
|
const char *pFuncs[] = { "rescale", "crescale" };
|
|
int nFunc = 2;
|
|
|
|
if ( ParseStringList( expr, pFuncs, nFunc ) &&
|
|
ParseString( expr, "(" ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, "," ) &&
|
|
ParseExpr( expr ) &&
|
|
ParseString( expr, ")" ) )
|
|
{
|
|
float f5 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f4 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f3 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f2 = m_stack.Top();
|
|
m_stack.Pop();
|
|
float f1 = m_stack.Top();
|
|
m_stack.Pop();
|
|
switch ( nFunc )
|
|
{
|
|
case 0: // rescale
|
|
m_stack.Push( rescale( f1, f2, f3, f4, f5 ) );
|
|
break;
|
|
case 1: // crescale
|
|
m_stack.Push( clamp( rescale( f1, f2, f3, f4, f5 ), f4, f5 ) );
|
|
break;
|
|
}
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
CExpressionCalculator::CExpressionCalculator( const CExpressionCalculator& x )
|
|
{
|
|
*this = x;
|
|
}
|
|
|
|
CExpressionCalculator& CExpressionCalculator::operator=( const CExpressionCalculator& x )
|
|
{
|
|
m_expr = x.m_expr;
|
|
m_varNames = x.m_varNames;
|
|
m_varValues = x.m_varValues;
|
|
m_stack.CopyFrom( x.m_stack );
|
|
m_bIsBuildingArgumentList = x.m_bIsBuildingArgumentList;
|
|
return *this;
|
|
}
|
|
|
|
float EvaluateExpression( char const *pExpr, float flValueToReturnIfFailure )
|
|
{
|
|
CExpressionCalculator myEvaluator( pExpr );
|
|
float flResult;
|
|
bool bSuccess = myEvaluator.Evaluate( flResult );
|
|
return ( bSuccess ) ? flResult : flValueToReturnIfFailure;
|
|
}
|
|
|