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scriptingEvaluator.h
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358 lines (294 loc) · 7.78 KB
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/*
Written by Antoine Savine in 2018
This code is the strict IP of Antoine Savine
License to use and alter this code for personal and commercial applications
is freely granted to any person or company who purchased a copy of the book
Modern Computational Finance: Scripting for Derivatives and XVA
Jesper Andreasen & Antoine Savine
Wiley, 2018
As long as this comment is preserved at the top of the file
*/
#pragma once
#include <iostream>
#include "scriptingNodes.h"
#include "scriptingScenarios.h"
#include <vector>
#include "quickStack.h"
template <class T, template <typename> class EVAL>
class EvaluatorBase : public constVisitor<EVAL<T>>
{
protected:
// State
vector<T> myVariables;
// Stacks
staticStack<T> myDstack;
staticStack<char> myBstack;
// Reference to current scenario
const Scenario<T>* myScenario;
// Index of current event
size_t myCurEvt;
public:
using constVisitor<EVAL<T>>::visit;
using constVisitor<EVAL<T>>::visitNode;
// Constructor, nVar = number of variables, from Product after parsing and variable indexation
EvaluatorBase( const size_t nVar) : myVariables( nVar) {}
// Copy/Move
EvaluatorBase( const EvaluatorBase& rhs) : myVariables( rhs.myVariables) {}
EvaluatorBase& operator=( const EvaluatorBase& rhs)
{
if( this == &rhs) return *this;
myVariables = rhs.myVariables;
return *this;
}
EvaluatorBase(EvaluatorBase&& rhs) : myVariables( move( rhs.myVariables)) {}
EvaluatorBase& operator=(EvaluatorBase&& rhs)
{
myVariables = move( rhs.myVariables);
return *this;
}
// (Re-)initialize before evaluation in each scenario
void init()
{
for( auto& varIt : myVariables) varIt = 0.0;
// Stacks should be empty, if this is not the case the empty them
// without affecting capacity for added performance
myDstack.reset();
myBstack.reset();
}
// Accessors
// Access to variable values after evaluation
const vector<T>& varVals() const
{
return myVariables;
}
// Set generated scenarios and current event
// Set reference to current scenario
void setScenario( const Scenario<T>* scen)
{
myScenario = scen;
}
// Set index of current event
void setCurEvt( const size_t curEvt)
{
myCurEvt = curEvt;
}
// Visitors
// Expressions
// Binaries
template<class OP>
void visitBinary(const exprNode& node, OP op)
{
visitNode(*node.arguments[0]);
visitNode(*node.arguments[1]);
op(myDstack[1], myDstack.top());
myDstack.pop();
}
void visit(const NodeAdd& node)
{
visitBinary(node, [](T& x, const T y) { x += y; });
}
void visit(const NodeSub& node)
{
visitBinary(node, [](T& x, const T y) { x -= y; });
}
void visit(const NodeMult& node)
{
visitBinary(node, [](T& x, const T y) { x *= y; });
}
void visit(const NodeDiv& node)
{
visitBinary(node, [](T& x, const T y) { x /= y; });
}
void visit(const NodePow& node)
{
visitBinary(node, [](T& x, const T y) { x = pow(x, y); });
}
void visit(const NodeMax& node)
{
visitBinary(node, [](T& x, const T y) { if (x < y) x = y; });
}
void visit(const NodeMin& node)
{
visitBinary(node, [](T& x, const T y) { if (x > y) x = y; });
}
// Unaries
template<class OP>
inline void visitUnary(const exprNode& node, OP op)
{
visitNode(*node.arguments[0]);
op(myDstack.top());
}
void visit(const NodeUplus& node)
{
visitUnary(node, [](T& x) { });
}
void visit(const NodeUminus& node)
{
visitUnary(node, [](T& x) { x = -x; });
}
// Functions
void visit(const NodeLog& node)
{
visitUnary(node, [](T& x) { x = log(x); });
}
void visit(const NodeSqrt& node)
{
visitUnary(node, [](T& x) { x = sqrt(x); });
}
// Multies
void visit(const NodeSmooth& node)
{
// Eval the condition
visitNode(*node.arguments[0]);
const T x = myDstack.top();
myDstack.pop();
// Eval the epsilon
visitNode(*node.arguments[3]);
const T halfEps = 0.5*myDstack.top();
myDstack.pop();
// Left
if( x < -halfEps) visitNode(*node.arguments[2]);
// Right
else if( x > halfEps) visitNode(*node.arguments[1]);
// Fuzzy
else
{
visitNode(*node.arguments[1]);
const T vPos = myDstack.top();
myDstack.pop();
visitNode(*node.arguments[2]);
const T vNeg = myDstack.top();
myDstack.pop();
myDstack.push( vNeg + 0.5 * (vPos - vNeg) / halfEps * (x + halfEps));
}
}
// Conditions
template<class OP>
inline void visitCondition(const boolNode& node, OP op)
{
visitNode(*node.arguments[0]);
myBstack.push(op(myDstack.top()));
myDstack.pop();
}
void visit(const NodeEqual& node)
{
visitCondition(node, [](const T x) { return x == 0; });
}
void visit(const NodeSup& node)
{
visitCondition(node, [](const T x) { return x > 0; });
}
void visit(const NodeSupEqual& node)
{
visitCondition(node, [](const T x) { return x >= 0; });
}
void visit(const NodeAnd& node)
{
visitNode(*node.arguments[0]);
if (myBstack.top())
{
myBstack.pop();
visitNode(*node.arguments[1]);
}
}
void visit(const NodeOr& node)
{
visitNode(*node.arguments[0]);
if (!myBstack.top())
{
myBstack.pop();
visitNode(*node.arguments[1]);
}
}
void visit(const NodeNot& node)
{
visitNode(*node.arguments[0]);
auto& b = myBstack.top();
b = !b;
}
// Instructions
void visit(const NodeIf& node)
{
// Eval the condition
visitNode(*node.arguments[0]);
// Pick the result
const auto isTrue = myBstack.top();
myBstack.pop();
// Evaluate the relevant statements
if( isTrue)
{
const auto lastTrue = node.firstElse == -1? node.arguments.size()-1: node.firstElse-1;
for(unsigned i=1; i<=lastTrue; ++i)
{
visitNode(*node.arguments[i]);
}
}
else if( node.firstElse != -1)
{
const size_t n = node.arguments.size();
for(unsigned i=node.firstElse; i<n; ++i)
{
visitNode(*node.arguments[i]);
}
}
}
void visit(const NodeAssign& node)
{
const auto varIdx = downcast<NodeVar>(node.arguments[0])->index;
// Visit the RHS expression
visitNode(*node.arguments[1]);
// Write result into variable
myVariables[varIdx] = myDstack.top();
myDstack.pop();
}
void visit(const NodePays& node)
{
const auto varIdx = downcast<NodeVar>(node.arguments[0])->index;
// Visit the RHS expression
visitNode(*node.arguments[1]);
// Write result into variable
myVariables[varIdx] += myDstack.top() / (*myScenario)[myCurEvt].numeraire;
myDstack.pop();
}
// Variables and constants
void visit(const NodeVar& node)
{
// Push value onto the stack
myDstack.push( myVariables[node.index]);
}
void visit(const NodeConst& node)
{
myDstack.push( node.constVal);
}
void visit(const NodeTrue& node)
{
myBstack.push(true);
}
void visit(const NodeFalse& node)
{
myBstack.push(false);
}
// Scenario related
void visit(const NodeSpot& node)
{
myDstack.push( (*myScenario)[myCurEvt].spot);
}
};
// Concrete Evaluator
template <class T>
class Evaluator : public EvaluatorBase<T, Evaluator>
{
public:
using Base = EvaluatorBase<T, ::Evaluator>;
Evaluator(const size_t nVar) : Base(nVar) {}
Evaluator(const Evaluator& rhs) : Base(rhs) {}
Evaluator(Evaluator&& rhs) : Base(move(rhs)) {}
Evaluator& operator=(const Evaluator& rhs)
{
Base::operator=(rhs);
}
Evaluator& operator=(const Evaluator&& rhs)
{
Base::operator=(move(rhs));
}
};