logistic.hh

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#ifndef __RVL_VLOp
#define __RVL_VLOp

#include "space.hh"

namespace RVL {

  template<class Scalar>
  class RVLScalarLogistic: public BinaryLocalFunctionObject<Scalar> {
  private:
    Scalar s;
    Scalar m;
    RVLScalarLogistic(const RVLScalarLogistic<Scalar> &) {}
  public:
    RVLScalarLogistic(Scalar fmin=ScalarFieldTraits<Scalar>::Zero(),
              Scalar fmax=ScalarFieldTraits<Scalar>::One()) {
      try {
    testRealOnly<Scalar>();
    if (!(fmin<fmax)) {
      RVLException e;
      e<<"ERROR: RVLScalarLogistic constructor\n";
      e<<"fmin="<<fmin<<" not less than fmax="<<fmax<<"\n";
      throw e;
    }
    s = 2.0 /(fmax-fmin);
    m = 0.5 *(fmax+fmin);
      }
      catch (RVLException & e) {
    e<<"\ncalled from RVLScalarLogistic constructor\n";
    throw e;
      }
    }
    ~RVLScalarLogistic() {}
  
    using RVL::BinaryLocalEvaluation<Scalar>::operator();
    void operator()(LocalDataContainer<Scalar> & x,
            LocalDataContainer<Scalar> const & y) {
      if (x.getSize() != y.getSize()) {
    RVLException e; e<<"ERROR: RVLScalarLogistic\n";
    e<<"input size = "<<x.getSize()<<" output size = "<<y.getSize()<<"\n";
    e<<"required to be same\n";
    throw e;
      }
      else {
    size_t n = x.getSize();
    Scalar * px = x.getData();
    Scalar const * py = y.getData();
    for (size_t i=0;i<n;i++) {
      px[i]=m + py[i]/sqrt(1.0 + s*s*py[i]*py[i]);
    }
      }
    }
    string getName() const  { return "RVLScalarLogistic"; }
  };

  template<class Scalar>
  class RVLScalarLogisticInverse: public BinaryLocalFunctionObject<Scalar> {
  private:
    Scalar s;
    Scalar m;
    RVLScalarLogisticInverse(const RVLScalarLogisticInverse<Scalar> &) {}
  public:
    RVLScalarLogisticInverse(Scalar fmin=ScalarFieldTraits<Scalar>::Zero(),
                 Scalar fmax=ScalarFieldTraits<Scalar>::One()) {
      try {
    testRealOnly<Scalar>();
    if (!(fmin<fmax)) {
      RVLException e;
      e<<"ERROR: RVLScalarLogisticInverse constructor\n";
      e<<"fmin="<<fmin<<" not less than fmax="<<fmax<<"\n";
      throw e;
    }
    s = 2.0 /(fmax-fmin);
    m = 0.5 *(fmax+fmin);
      }
      catch (RVLException & e) {
    e<<"\ncalled from RVLScalarLogisticInverse constructor\n";
    throw e;
      }
    }
    ~RVLScalarLogisticInverse() {}
  
    using RVL::BinaryLocalEvaluation<Scalar>::operator();
    void operator()(LocalDataContainer<Scalar> & x,
            LocalDataContainer<Scalar> const & y) {
      if (x.getSize() != y.getSize()) {
    RVLException e; e<<"ERROR: RVLScalarLogisticInverse\n";
    e<<"input size = "<<x.getSize()<<" output size = "<<y.getSize()<<"\n";
    e<<"required to be same\n";
    throw e;
      }
      else {
    size_t n = x.getSize();
    Scalar * px = x.getData();
    Scalar const * py = y.getData();
    for (size_t i=0;i<n;i++) {
      if ((py[i] < m-1/s + numeric_limits<Scalar>::epsilon()) || 
          (py[i] > m+1/s - numeric_limits<Scalar>::epsilon())) {
        RVLException e;
        e<<"ERROR: RVLScalarLogisticInverse\n";
        e<<"input value = "<<py[i]<<" too close to \n";
        e<<"fmin = "<<m-1/s<<" or fmax = "<<m+1/s<<"\n";
        throw e;
      }
      px[i]=(py[i]-m)/sqrt(1.0 - s*s*(py[i]-m)*(py[i]-m));
    }
      }
    }
    string getName() const  { return "RVLScalarLogisticInverse"; }
  };

  template<class Scalar>
  class RVLScalarLogisticDeriv: public TernaryLocalFunctionObject<Scalar> {
  private:
    Scalar s;
    Scalar t;
    RVLScalarLogisticDeriv(const RVLScalarLogisticDeriv<Scalar> &) {}
  public:
    RVLScalarLogisticDeriv(Scalar fmin=ScalarFieldTraits<Scalar>::Zero(),
               Scalar fmax=ScalarFieldTraits<Scalar>::One()) {
      try {
    testRealOnly<Scalar>();
    if (!(fmin<fmax)) {
      RVLException e;
      e<<"ERROR: RVLScalarLogisticDeriv constructor\n";
      e<<"fmin="<<fmin<<" not less than fmax="<<fmax<<"\n";
      throw e;
    }
    s = 2.0 /(fmax-fmin);
      }
      catch (RVLException & e) {
    e<<"\ncalled from RVLScalarLogisticDeriv constructor\n";
    throw e;
      }
    }
    ~RVLScalarLogisticDeriv() {}
  
    using RVL::TernaryLocalEvaluation<Scalar>::operator();
    void operator()(LocalDataContainer<Scalar> & x,
            LocalDataContainer<Scalar> const & y, 
            LocalDataContainer<Scalar> const & dy) {
      if ((x.getSize() != y.getSize()) ||
      (x.getSize() != dy.getSize())) {
    RVLException e; e<<"ERROR: RVLScalarLogisticDeriv\n";
    e<<"input size = "<<y.getSize()<<"\n";
    e<<"input pert size = "<<dy.getSize()<<"\n";
    e<<"output size = "<<x.getSize()<<"\n";
    e<<"required to be same\n";
    throw e;
      }
      else {
    size_t n = x.getSize();
    Scalar * px = x.getData();
    Scalar const * py = y.getData();
    Scalar const * pdy = dy.getData();
    for (size_t i=0;i<n;i++) {
      t=1.0/sqrt(1.0 + s*s*py[i]*py[i]);
      px[i]=pdy[i]*t*t*t;
    }
      }
    }
    string getName() const  { return "RVLScalarLogisticDeriv"; }
  };

  template<class Scalar>
  class RVLVectorLogistic: public QuaternaryLocalFunctionObject<Scalar> {
  private:
    RVLVectorLogistic(const RVLVectorLogistic<Scalar> &) {}
  public:
    RVLVectorLogistic() {
      try {
    testRealOnly<Scalar>();
      }
      catch (RVLException & e) {
    e<<"\ncalled from RVLVectorLogistic constructor\n";
    throw e;
      }
    }
    ~RVLVectorLogistic() {}
  
    using RVL::QuaternaryLocalEvaluation<Scalar>::operator();
    void operator()(LocalDataContainer<Scalar> & x,
            LocalDataContainer<Scalar> const & y,
            LocalDataContainer<Scalar> const & lb,
            LocalDataContainer<Scalar> const & ub) {
      if ((x.getSize() != y.getSize()) ||
      (x.getSize() != lb.getSize()) ||
      (x.getSize() != ub.getSize())) {
    RVLException e; e<<"ERROR: RVLVectorLogistic\n";
    e<<"input size = "<<x.getSize()<<"\n";
    e<<"output size = "<<y.getSize()<<"\n";
    e<<"lb size = "<<lb.getSize()<<"\n";
    e<<"ub size = "<<ub.getSize()<<"\n";
    e<<"required to be same\n";
    throw e;
      }
      else {
    size_t n = x.getSize();
    Scalar * px = x.getData();
    Scalar const * py = y.getData();
    Scalar const * fmin = lb.getData();
    Scalar const * fmax = ub.getData();
    for (size_t i=0;i<n;i++) {
      if (!(fmin[i]<fmax[i])) {
        RVLException e;
        e<<"ERROR: RVLVectorLogistic::operator()\n";
        e<<"array index = "<<i<<"\n";
        e<<"fmin="<<fmin[i]<<" not less than fmax="<<fmax[i]<<"\n";
        throw e;
      }
      Scalar s = 2.0/(fmax[i]-fmin[i]);
      Scalar m = 0.5 *(fmax[i]+fmin[i]);
      px[i]=m + py[i]/sqrt(1.0 + s*s*py[i]*py[i]);
    }
      }
    }
    string getName() const  { return "RVLVectorLogistic"; }
  };

  template<class Scalar>
  class RVLVectorLogisticDeriv: public LocalFunctionObject<Scalar> {
  public:
    RVLVectorLogisticDeriv() {}
    RVLVectorLogisticDeriv(const RVLVectorLogisticDeriv<Scalar> &) {}
    ~RVLVectorLogisticDeriv() {}
  
    using RVL::LocalEvaluation<Scalar>::operator();
    void operator()(LocalDataContainer<Scalar> & x,
            std::vector<LocalDataContainer<Scalar> const *> & v) {
      if (v.size() != 4) {
    RVLException e;
    e<<"ERROR: RVLVectorLogisticDeriv::operator()\n";
    e<<"  input std::vector must have size = 4\n";
    e<<"  layout: v[0]=x, v[1]=dx, v[2]=xmin, v[3]=xmax\n";
    throw e;
      }
      if ((x.getSize() != v[0]->getSize()) ||
      (x.getSize() != v[1]->getSize()) ||
      (x.getSize() != v[2]->getSize()) ||
      (x.getSize() != v[3]->getSize())) {   
    RVLException e; e<<"ERROR: RVLVectorLogisticDeriv\n";
    e<<"  incompatible array lengths\n";
    throw e;
      }
      else {
    size_t n = x.getSize();
    Scalar * px = x.getData();
    Scalar const * py = v[0]->getData();
    Scalar const * pdy = v[1]->getData();
    Scalar const * fm = v[2]->getData();
    Scalar const * fp = v[3]->getData();
    for (size_t i=0;i<n;i++) {
      if (!(fm[i]<fp[i])) {
        RVLException e;
        e<<"ERROR: RVLVectorLogistic::operator()\n";
        e<<"array index = "<<i<<"\n";
        e<<"fmin="<<fm[i]<<" not less than fmax="<<fp[i]<<"\n";
        throw e;
      }
      Scalar s = 2.0/(fp[i]-fm[i]);
      Scalar t=1.0/sqrt(1.0 + s*s*py[i]*py[i]);
      px[i]=pdy[i]*t*t*t;
    }
      }
    }
    string getName() const  { return "RVLVectorLogisticDeriv"; }
  };

  template<class Scalar>
  class RVLVectorLogisticInverse: public LocalFunctionObject<Scalar> {
  public:
    RVLVectorLogisticInverse() {}
    RVLVectorLogisticInverse(const RVLVectorLogisticInverse<Scalar> &) {}
    ~RVLVectorLogisticInverse() {}
  
    using RVL::LocalEvaluation<Scalar>::operator();
    void operator()(LocalDataContainer<Scalar> & x,
            std::vector<LocalDataContainer<Scalar> const *> & v) {
      if (v.size() != 3) {
    RVLException e;
    e<<"ERROR: RVLVectorLogisticInverse::operator()\n";
    e<<"  input std::vector must have size = 4\n";
    e<<"  layout: v[0]=x, v[1]=xmin, v[2]=xmax\n";
    throw e;
      }
      if ((x.getSize() != v[0]->getSize()) ||
      (x.getSize() != v[1]->getSize()) ||
      (x.getSize() != v[2]->getSize())) {   
    RVLException e; e<<"ERROR: RVLVectorLogisticInverse\n";
    e<<"  incompatible array lengths\n";
    throw e;
      }
      else {
    size_t n = x.getSize();
    Scalar * px = x.getData();
    Scalar const * py = v[0]->getData();    
    Scalar const * fm = v[1]->getData();
    Scalar const * fp = v[2]->getData();
    for (size_t i=0;i<n;i++) {
      Scalar s = 2.0/(fp[i]-fm[i]);
      Scalar m = 0.5*(fp[i]+fm[i]);
      if (s*s*(py[i]-m)*(py[i]-m) > 1.0 - numeric_limits<Scalar>::epsilon()) {
        //    if ((py[i] < (m-1/s) + 
        //        (py[i] > m+1/s - numeric_limits<Scalar>::epsilon())) {
        RVLException e;
        e<<"ERROR: RVLVectorLogisticInverse\n";
        e<<"  input value = "<<py[i]<<" too close to \n";
        e<<"  fmin = "<<m-1/s<<" or fmax = "<<m+1/s<<"\n";
        e<<"  or exceeds these bounds - cannot invert logistic map\n";
        e<<"  supplied function bounds are "<<fm[i]<<" and "<<fp[i]<<"\n";
        throw e;
      }
      px[i]=(py[i]-m)/sqrt(1.0 - s*s*(py[i]-m)*(py[i]-m));    
    }
      }
    }
    string getName() const  { return "RVLVectorLogisticInverse"; }
  };

  template<typename Scalar>
  class VectorLogisticOp: public Operator<Scalar> {

  private:

    // these should be shared_ptr objects - to do
    Vector<Scalar> const & lb;
    Vector<Scalar> const & ub;

    VectorLogisticOp();
    
  protected:

    void apply(Vector<float> const & x,
           Vector<float> & y) const {
      try {
    RVLVectorLogistic<Scalar> f;
    y.eval(f,x,lb,ub);
      }
      catch (RVLException & e) {
    e<<"\ncalled from VectorLogisticOp::apply\n";
    throw e;
      }
    }
      
    void applyDeriv(Vector<float> const & x,
            Vector<float> const & dx,
            Vector<float> & dy) const {
      try {
    RVLVectorLogisticDeriv<Scalar> f;
    std::vector<RVL::Vector<Scalar> const *> v;
    v.push_back(&x);
    v.push_back(&dx);
    v.push_back(&lb);
    v.push_back(&ub);
    dy.eval(f,v);
      }
      catch (RVLException & e) {
    e<<"\ncalled from VectorLogisticOp::applyDeriv\n";
    throw e;
      }
    }
    
    void applyAdjDeriv(Vector<float> const & x,
               Vector<float> const & dy,
               Vector<float> & dx) const {
      try {
    RVLVectorLogisticDeriv<Scalar> f;
    std::vector<RVL::Vector<Scalar> const *> v;
    v.push_back(&x);
    v.push_back(&dy);
    v.push_back(&lb);
    v.push_back(&ub);
    dx.eval(f,v);
      }
      catch (RVLException & e) {
    e<<"\ncalled from VectorLogisticOp::applyDeriv\n";
    throw e;
      }
    }

    /* note: not implemented yet

    void applyDeriv2(const Vector<float> & x,
             const Vector<float> & dx1,
             const Vector<float> & dx2,
             Vector<float> & dy) const {
      RVLException e;
      e<<"ERROR: VectorLogisticOp::applyDeriv2 not defined\n";
      e<<"  complain to management\n";
      throw e;
    }
    void applyAdjDeriv2(const Vector<float> & x,
            const Vector<float> & dy,
            const Vector<float> & dx2,
            Vector<float> & dx1) const {
      RVLException e;
      e<<"ERROR: VectorLogisticOp::applyAdjDeriv2 not defined\n";
      e<<"  complain to management\n";
      throw e;
    }
    */
    
    Operator<float> * clone() const { return new VectorLogisticOp<Scalar>(*this); }

  public:

    VectorLogisticOp(Vector<Scalar> const & _lb,
             Vector<Scalar> const & _ub)
      : lb(_lb), ub(_ub) {}

    VectorLogisticOp(VectorLogisticOp<Scalar> const & op) 
      : lb(op.lb), ub(op.ub) {}

    ~VectorLogisticOp() {}

    Space<Scalar> const & getDomain() const { return lb.getSpace(); }
    Space<Scalar> const & getRange() const { return lb.getSpace(); }

    ostream & write(ostream & str) const {
      str<<"Vector Logistic Operator implementing field box constraints\n";
      str<<"*** lower bound vector: \n";
      lb.write(str);
      str<<"*** upper bound vector: \n";
      ub.write(str);
      return str;
    }
  };

}

#endif

---