Refactor folder (#10475)

Move many third-party components' source codes from the src folder to a new folder called deps_src. The goal is to make the code structure clearer and easier to navigate.

deps_src/qhull/src/libqhullcpp/Coordinates.cpp

@@ -0,0 +1,198 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/Coordinates.cpp#4 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/Coordinates.h"
+
+#include "libqhullcpp/functionObjects.h"
+#include "libqhullcpp/QhullError.h"
+
+#include <iostream>
+#include <iterator>
+#include <algorithm>
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//! Coordinates -- vector of coordT (normally double)
+
+#//!\name Constructor
+
+#//!\name Element access
+
+// Inefficient without result-value-optimization or implicitly shared object
+Coordinates Coordinates::
+mid(countT idx, countT length) const
+{
+    countT newLength= length;
+    if(length<0 || idx+length > count()){
+        newLength= count()-idx;
+    }
+    Coordinates result;
+    if(newLength>0){
+        std::copy(begin()+idx, begin()+(idx+newLength), std::back_inserter(result));
+    }
+    return result;
+}//mid
+
+coordT Coordinates::
+value(countT idx, const coordT &defaultValue) const
+{
+    return ((idx < 0 || idx >= count()) ? defaultValue : (*this)[idx]);
+}//value
+
+#//!\name GetSet
+
+Coordinates Coordinates::
+operator+(const Coordinates &other) const
+{
+    Coordinates result(*this);
+    std::copy(other.begin(), other.end(), std::back_inserter(result));
+    return result;
+}//operator+
+
+Coordinates & Coordinates::
+operator+=(const Coordinates &other)
+{
+    if(&other==this){
+        Coordinates clone(other);
+        std::copy(clone.begin(), clone.end(), std::back_inserter(*this));
+    }else{
+        std::copy(other.begin(), other.end(), std::back_inserter(*this));
+    }
+    return *this;
+}//operator+=
+
+#//!\name Read-write
+
+void Coordinates::
+append(int pointDimension, coordT *c)
+{
+    if(c){
+        coordT *p= c;
+        for(int i= 0; i<pointDimension; ++i){
+            coordinate_array.push_back(*p++);
+        }
+    }
+}//append dim coordT
+
+coordT Coordinates::
+takeAt(countT idx)
+{
+    coordT c= at(idx);
+    erase(begin()+idx);
+    return c;
+}//takeAt
+
+coordT Coordinates::
+takeLast()
+{
+    coordT c= last();
+    removeLast();
+    return c;
+}//takeLast
+
+void Coordinates::
+swap(countT idx, countT other)
+{
+    coordT c= at(idx);
+    at(idx)= at(other);
+    at(other)= c;
+}//swap
+
+#//!\name Search
+
+bool Coordinates::
+contains(const coordT &t) const
+{
+    CoordinatesIterator i(*this);
+    return i.findNext(t);
+}//contains
+
+countT Coordinates::
+count(const coordT &t) const
+{
+    CoordinatesIterator i(*this);
+    countT result= 0;
+    while(i.findNext(t)){
+        ++result;
+    }
+    return result;
+}//count
+
+countT Coordinates::
+indexOf(const coordT &t, countT from) const
+{
+    if(from<0){
+        from += count();
+        if(from<0){
+            from= 0;
+        }
+    }
+    if(from<count()){
+        const_iterator i= begin()+from;
+        while(i!=constEnd()){
+            if(*i==t){
+                return (static_cast<countT>(i-begin())); // WARN64 coordinate index
+            }
+            ++i;
+        }
+    }
+    return -1;
+}//indexOf
+
+countT Coordinates::
+lastIndexOf(const coordT &t, countT from) const
+{
+    if(from<0){
+        from += count();
+    }else if(from>=count()){
+        from= count()-1;
+    }
+    if(from>=0){
+        const_iterator i= begin()+from+1;
+        while(i-- != constBegin()){
+            if(*i==t){
+                return (static_cast<countT>(i-begin())); // WARN64 coordinate index
+            }
+        }
+    }
+    return -1;
+}//lastIndexOf
+
+void Coordinates::
+removeAll(const coordT &t)
+{
+    MutableCoordinatesIterator i(*this);
+    while(i.findNext(t)){
+        i.remove();
+    }
+}//removeAll
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::istream;
+using std::ostream;
+using std::string;
+using std::ws;
+using orgQhull::Coordinates;
+
+ostream &
+operator<<(ostream &os, const Coordinates &cs)
+{
+    Coordinates::const_iterator c= cs.begin();
+    for(countT i=cs.count(); i--; ){
+        os << *c++ << " ";
+    }
+    return os;
+}//operator<<
+

deps_src/qhull/src/libqhullcpp/Coordinates.h

@@ -0,0 +1,303 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/Coordinates.h#6 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHCOORDINATES_H
+#define QHCOORDINATES_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/QhullIterator.h"
+
+#include <cstddef> // ptrdiff_t, size_t
+#include <ostream>
+// Requires STL vector class.  Can use with another vector class such as QList.
+#include <vector>
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! An std::vector of point coordinates independent of dimension
+    //! Used by PointCoordinates for RboxPoints and by Qhull for feasiblePoint
+    //! A QhullPoint refers to previously allocated coordinates
+    class Coordinates;
+    class MutableCoordinatesIterator;
+
+class Coordinates {
+
+private:
+#//!\name Fields
+    std::vector<coordT> coordinate_array;
+
+public:
+#//!\name Subtypes
+
+    class const_iterator;
+    class iterator;
+    typedef iterator Iterator;
+    typedef const_iterator ConstIterator;
+
+    typedef coordT              value_type;
+    typedef const value_type   *const_pointer;
+    typedef const value_type &  const_reference;
+    typedef value_type *        pointer;
+    typedef value_type &        reference;
+    typedef ptrdiff_t           difference_type;
+    typedef countT              size_type;
+
+#//!\name Construct
+                        Coordinates() {};
+    explicit            Coordinates(const std::vector<coordT> &other) : coordinate_array(other) {}
+                        Coordinates(const Coordinates &other) : coordinate_array(other.coordinate_array) {}
+    Coordinates &       operator=(const Coordinates &other) { coordinate_array= other.coordinate_array; return *this; }
+    Coordinates &       operator=(const std::vector<coordT> &other) { coordinate_array= other; return *this; }
+                        ~Coordinates() {}
+
+#//!\name Conversion
+
+#ifndef QHULL_NO_STL
+    std::vector<coordT> toStdVector() const { return coordinate_array; }
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<coordT>       toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+    countT              count() const { return static_cast<countT>(size()); }
+    coordT *            data() { return isEmpty() ? 0 : &at(0); }
+    const coordT *      data() const { return const_cast<const pointT*>(isEmpty() ? 0 : &at(0)); }
+    bool                isEmpty() const { return coordinate_array.empty(); }
+    bool                operator==(const Coordinates &other) const  { return coordinate_array==other.coordinate_array; }
+    bool                operator!=(const Coordinates &other) const  { return coordinate_array!=other.coordinate_array; }
+    size_t              size() const { return coordinate_array.size(); }
+
+#//!\name Element access
+    coordT &            at(countT idx) { return coordinate_array.at(idx); }
+    const coordT &      at(countT idx) const { return coordinate_array.at(idx); }
+    coordT &            back() { return coordinate_array.back(); }
+    const coordT &      back() const { return coordinate_array.back(); }
+    coordT &            first() { return front(); }
+    const coordT &      first() const { return front(); }
+    coordT &            front() { return coordinate_array.front(); }
+    const coordT &      front() const { return coordinate_array.front(); }
+    coordT &            last() { return back(); }
+    const coordT &      last() const { return back(); }
+    Coordinates         mid(countT idx, countT length= -1) const; //!<\todo countT -1 indicates
+    coordT &            operator[](countT idx) { return coordinate_array.operator[](idx); }
+    const coordT &      operator[](countT idx) const { return coordinate_array.operator[](idx); }
+    coordT              value(countT idx, const coordT &defaultValue) const;
+
+#//!\name Iterator
+    iterator            begin() { return iterator(coordinate_array.begin()); }
+    const_iterator      begin() const { return const_iterator(coordinate_array.begin()); }
+    const_iterator      constBegin() const { return begin(); }
+    const_iterator      constEnd() const { return end(); }
+    iterator            end() { return iterator(coordinate_array.end()); }
+    const_iterator      end() const { return const_iterator(coordinate_array.end()); }
+
+#//!\name GetSet
+    Coordinates         operator+(const Coordinates &other) const;
+
+#//!\name Modify
+    void                append(int pointDimension, coordT *c);
+    void                append(const coordT &c) { push_back(c); }
+    void                clear() { coordinate_array.clear(); }
+    iterator            erase(iterator idx) { return iterator(coordinate_array.erase(idx.base())); }
+    iterator            erase(iterator beginIterator, iterator endIterator) { return iterator(coordinate_array.erase(beginIterator.base(), endIterator.base())); }
+    void                insert(countT before, const coordT &c) { insert(begin()+before, c); }
+    iterator            insert(iterator before, const coordT &c) { return iterator(coordinate_array.insert(before.base(), c)); }
+    void                move(countT from, countT to) { insert(to, takeAt(from)); }
+    Coordinates &       operator+=(const Coordinates &other);
+    Coordinates &       operator+=(const coordT &c) { append(c); return *this; }
+    Coordinates &       operator<<(const Coordinates &other) { return *this += other; }
+    Coordinates &       operator<<(const coordT &c) { return *this += c; }
+    void                pop_back() { coordinate_array.pop_back(); }
+    void                pop_front() { removeFirst(); }
+    void                prepend(const coordT &c) { insert(begin(), c); }
+    void                push_back(const coordT &c) { coordinate_array.push_back(c); }
+    void                push_front(const coordT &c) { insert(begin(), c); }
+                        //removeAll below
+    void                removeAt(countT idx) { erase(begin()+idx); }
+    void                removeFirst() { erase(begin()); }
+    void                removeLast() { erase(--end()); }
+    void                replace(countT idx, const coordT &c) { (*this)[idx]= c; }
+    void                reserve(countT i) { coordinate_array.reserve(i); }
+    void                swap(countT idx, countT other);
+    coordT              takeAt(countT idx);
+    coordT              takeFirst() { return takeAt(0); }
+    coordT              takeLast();
+
+#//!\name Search
+    bool                contains(const coordT &t) const;
+    countT              count(const coordT &t) const;
+    countT              indexOf(const coordT &t, countT from = 0) const;
+    countT              lastIndexOf(const coordT &t, countT from = -1) const;
+    void                removeAll(const coordT &t);
+
+#//!\name Coordinates::iterator -- from QhullPoints, forwarding to coordinate_array
+    // before const_iterator for conversion with comparison operators
+    // Reviewed corelib/tools/qlist.h and corelib/tools/qvector.h w/o QT_STRICT_ITERATORS
+    class iterator {
+
+    private:
+        std::vector<coordT>::iterator i;
+        friend class const_iterator;
+
+    public:
+        typedef std::random_access_iterator_tag  iterator_category;
+        typedef coordT      value_type;
+        typedef value_type *pointer;
+        typedef value_type &reference;
+        typedef ptrdiff_t   difference_type;
+
+                        iterator() {}
+                        iterator(const iterator &other) { i= other.i; }
+        explicit        iterator(const std::vector<coordT>::iterator &vi) { i= vi; }
+        iterator &      operator=(const iterator &other) { i= other.i; return *this; }
+        std::vector<coordT>::iterator &base() { return i; }
+        coordT &        operator*() const { return *i; }
+        // No operator->() when the base type is double
+        coordT &        operator[](countT idx) const { return i[idx]; }
+
+        bool            operator==(const iterator &other) const { return i==other.i; }
+        bool            operator!=(const iterator &other) const { return i!=other.i; }
+        bool            operator<(const iterator &other) const { return i<other.i; }
+        bool            operator<=(const iterator &other) const { return i<=other.i; }
+        bool            operator>(const iterator &other) const { return i>other.i; }
+        bool            operator>=(const iterator &other) const { return i>=other.i; }
+              // reinterpret_cast to break circular dependency
+        bool            operator==(const Coordinates::const_iterator &other) const { return *this==reinterpret_cast<const iterator &>(other); }
+        bool            operator!=(const Coordinates::const_iterator &other) const { return *this!=reinterpret_cast<const iterator &>(other); }
+        bool            operator<(const Coordinates::const_iterator &other) const { return *this<reinterpret_cast<const iterator &>(other); }
+        bool            operator<=(const Coordinates::const_iterator &other) const { return *this<=reinterpret_cast<const iterator &>(other); }
+        bool            operator>(const Coordinates::const_iterator &other) const { return *this>reinterpret_cast<const iterator &>(other); }
+        bool            operator>=(const Coordinates::const_iterator &other) const { return *this>=reinterpret_cast<const iterator &>(other); }
+
+        iterator &      operator++() { ++i; return *this; }
+        iterator        operator++(int) { return iterator(i++); }
+        iterator &      operator--() { --i; return *this; }
+        iterator        operator--(int) { return iterator(i--); }
+        iterator &      operator+=(countT idx) { i += idx; return *this; }
+        iterator &      operator-=(countT idx) { i -= idx; return *this; }
+        iterator        operator+(countT idx) const { return iterator(i+idx); }
+        iterator        operator-(countT idx) const { return iterator(i-idx); }
+        difference_type operator-(iterator other) const { return i-other.i; }
+    };//Coordinates::iterator
+
+#//!\name Coordinates::const_iterator
+    class const_iterator {
+
+    private:
+        std::vector<coordT>::const_iterator i;
+
+    public:
+        typedef std::random_access_iterator_tag  iterator_category;
+        typedef coordT            value_type;
+        typedef const value_type *pointer;
+        typedef const value_type &reference;
+        typedef ptrdiff_t         difference_type;
+
+                        const_iterator() {}
+                        const_iterator(const const_iterator &other) { i= other.i; }
+                        const_iterator(const iterator &o) : i(o.i) {}
+        explicit        const_iterator(const std::vector<coordT>::const_iterator &vi) { i= vi; }
+        const_iterator &operator=(const const_iterator &other) { i= other.i; return *this; }
+        const coordT &  operator*() const { return *i; }
+        // No operator->() when the base type is double
+        const coordT &  operator[](countT idx) const { return i[idx]; }
+
+        bool            operator==(const const_iterator &other) const { return i==other.i; }
+        bool            operator!=(const const_iterator &other) const { return i!=other.i; }
+        bool            operator<(const const_iterator &other) const { return i<other.i; }
+        bool            operator<=(const const_iterator &other) const { return i<=other.i; }
+        bool            operator>(const const_iterator &other) const { return i>other.i; }
+        bool            operator>=(const const_iterator &other) const { return i>=other.i; }
+
+        const_iterator & operator++() { ++i; return *this; } 
+        const_iterator  operator++(int) { return const_iterator(i++); }
+        const_iterator & operator--() { --i; return *this; }
+        const_iterator  operator--(int) { return const_iterator(i--); }
+        const_iterator & operator+=(countT idx) { i += idx; return *this; }
+        const_iterator & operator-=(countT idx) { i -= idx; return *this; }
+        const_iterator  operator+(countT idx) const { return const_iterator(i+idx); }
+        const_iterator  operator-(countT idx) const { return const_iterator(i-idx); }
+        difference_type operator-(const_iterator other) const { return i-other.i; }
+    };//Coordinates::const_iterator
+
+};//Coordinates
+
+//class CoordinatesIterator
+//QHULL_DECLARE_SEQUENTIAL_ITERATOR(Coordinates, coordT)
+
+class CoordinatesIterator
+{
+    typedef Coordinates::const_iterator const_iterator;
+
+private:
+    const Coordinates * c;
+    const_iterator      i;
+
+public:
+                        CoordinatesIterator(const Coordinates &container): c(&container), i(c->constBegin()) {}
+    CoordinatesIterator &operator=(const Coordinates &container) { c= &container; i= c->constBegin(); return *this; }
+                        ~CoordinatesIterator() {}
+
+    bool                findNext(const coordT &t) { while (i != c->constEnd()) if(*i++ == t){ return true;} return false; }
+    bool                findPrevious(const coordT &t) { while (i != c->constBegin())if (*(--i) == t){ return true;} return false;  }
+    bool                hasNext() const { return i != c->constEnd(); }
+    bool                hasPrevious() const { return i != c->constBegin(); }
+    const coordT &      next() { return *i++; }
+    const coordT &      previous() { return *--i; }
+    const coordT &      peekNext() const { return *i; }
+    const coordT &      peekPrevious() const { const_iterator p= i; return *--p; }
+    void                toFront() { i= c->constBegin(); }
+    void                toBack() { i= c->constEnd(); }
+};//CoordinatesIterator
+
+//class MutableCoordinatesIterator
+//QHULL_DECLARE_MUTABLE_SEQUENTIAL_ITERATOR(Coordinates, coordT)
+class MutableCoordinatesIterator
+{
+    typedef Coordinates::iterator iterator;
+    typedef Coordinates::const_iterator const_iterator;
+
+private:
+    Coordinates *       c;
+    iterator            i;
+    iterator            n;
+    bool                item_exists() const { return const_iterator(n) != c->constEnd(); }
+
+public:
+                        MutableCoordinatesIterator(Coordinates &container) : c(&container) { i= c->begin(); n= c->end(); }
+    MutableCoordinatesIterator &operator=(Coordinates &container) { c= &container; i= c->begin(); n= c->end(); return *this; }
+                        ~MutableCoordinatesIterator() {}
+
+    bool                findNext(const coordT &t) { while(c->constEnd()!=const_iterator(n= i)){ if(*i++==t){ return true;}} return false; }
+    bool                findPrevious(const coordT &t) { while(c->constBegin()!=const_iterator(i)){ if(*(n= --i)== t){ return true;}} n= c->end(); return false;  }
+    bool                hasNext() const { return (c->constEnd()!=const_iterator(i)); }
+    bool                hasPrevious() const { return (c->constBegin()!=const_iterator(i)); }
+    void                insert(const coordT &t) { n= i= c->insert(i, t); ++i; }
+    coordT &            next() { n= i++; return *n; }
+    coordT &            peekNext() const { return *i; }
+    coordT &            peekPrevious() const { iterator p= i; return *--p; }
+    coordT &            previous() { n= --i; return *n; }
+    void                remove() { if(c->constEnd()!=const_iterator(n)){ i= c->erase(n); n= c->end();} }
+    void                setValue(const coordT &t) const { if(c->constEnd()!=const_iterator(n)){ *n= t;} }
+    void                toFront() { i= c->begin(); n= c->end(); }
+    void                toBack() { i= c->end(); n= i; }
+    coordT &            value() { QHULL_ASSERT(item_exists()); return *n; }
+    const coordT &      value() const { QHULL_ASSERT(item_exists()); return *n; }
+};//MutableCoordinatesIterator
+
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::Coordinates &c);
+
+#endif // QHCOORDINATES_H

deps_src/qhull/src/libqhullcpp/PointCoordinates.cpp

@@ -0,0 +1,348 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/PointCoordinates.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/PointCoordinates.h"
+
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/QhullPoint.h"
+
+#include <iterator>
+#include <iostream>
+
+using std::istream;
+using std::string;
+using std::ws;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//! PointCoordinates -- vector of PointCoordinates
+
+#//!\name Constructors
+
+PointCoordinates::
+PointCoordinates()
+: QhullPoints()
+, point_coordinates()
+, describe_points()
+{
+}
+
+PointCoordinates::
+PointCoordinates(const std::string &aComment)
+: QhullPoints()
+, point_coordinates()
+, describe_points(aComment)
+{
+}
+
+PointCoordinates::
+PointCoordinates(int pointDimension, const std::string &aComment)
+: QhullPoints()
+, point_coordinates()
+, describe_points(aComment)
+{
+    setDimension(pointDimension);
+}
+
+//! Qhull and QhullQh constructors are the same
+PointCoordinates::
+PointCoordinates(const Qhull &q)
+: QhullPoints(q)
+, point_coordinates()
+, describe_points()
+{
+}
+
+PointCoordinates::
+PointCoordinates(const Qhull &q, const std::string &aComment)
+: QhullPoints(q)
+, point_coordinates()
+, describe_points(aComment)
+{
+}
+
+PointCoordinates::
+PointCoordinates(const Qhull &q, int pointDimension, const std::string &aComment)
+: QhullPoints(q)
+, point_coordinates()
+, describe_points(aComment)
+{
+    setDimension(pointDimension);
+}
+
+PointCoordinates::
+PointCoordinates(const Qhull &q, int pointDimension, const std::string &aComment, countT coordinatesCount, const coordT *c)
+: QhullPoints(q)
+, point_coordinates()
+, describe_points(aComment)
+{
+    setDimension(pointDimension);
+    append(coordinatesCount, c);
+}
+
+PointCoordinates::
+PointCoordinates(QhullQh *qqh)
+: QhullPoints(qqh)
+, point_coordinates()
+, describe_points()
+{
+}
+
+PointCoordinates::
+PointCoordinates(QhullQh *qqh, const std::string &aComment)
+: QhullPoints(qqh)
+, point_coordinates()
+, describe_points(aComment)
+{
+}
+
+PointCoordinates::
+PointCoordinates(QhullQh *qqh, int pointDimension, const std::string &aComment)
+: QhullPoints(qqh)
+, point_coordinates()
+, describe_points(aComment)
+{
+    setDimension(pointDimension);
+}
+
+PointCoordinates::
+PointCoordinates(QhullQh *qqh, int pointDimension, const std::string &aComment, countT coordinatesCount, const coordT *c)
+: QhullPoints(qqh)
+, point_coordinates()
+, describe_points(aComment)
+{
+    setDimension(pointDimension);
+    append(coordinatesCount, c);
+}
+
+PointCoordinates::
+PointCoordinates(const PointCoordinates &other)
+: QhullPoints(other)
+, point_coordinates(other.point_coordinates)
+, describe_points(other.describe_points)
+{
+    makeValid();  // Update point_first and point_end
+}
+
+PointCoordinates & PointCoordinates::
+operator=(const PointCoordinates &other)
+{
+    QhullPoints::operator=(other);
+    point_coordinates= other.point_coordinates;
+    describe_points= other.describe_points;
+    makeValid(); // Update point_first and point_end
+    return *this;
+}//operator=
+
+PointCoordinates::
+~PointCoordinates()
+{ }
+
+#//!\name GetSet
+
+void PointCoordinates::
+checkValid() const
+{
+    if(getCoordinates().data()!=data()
+    || getCoordinates().count()!=coordinateCount()){
+        throw QhullError(10060, "Qhull error: first point (%x) is not PointCoordinates.data() or count (%d) is not PointCoordinates.count (%d)", coordinateCount(), getCoordinates().count(), 0.0, data());
+    }
+}//checkValid
+
+void PointCoordinates::
+setDimension(int i)
+{
+    if(i<0){
+        throw QhullError(10062, "Qhull error: can not set PointCoordinates dimension to %d", i);
+    }
+    int currentDimension=QhullPoints::dimension();
+    if(currentDimension!=0 && i!=currentDimension){
+        throw QhullError(10063, "Qhull error: can not change PointCoordinates dimension (from %d to %d)", currentDimension, i);
+    }
+    QhullPoints::setDimension(i);
+}//setDimension
+
+#//!\name Foreach
+
+Coordinates::ConstIterator PointCoordinates::
+beginCoordinates(countT pointIndex) const
+{
+    return point_coordinates.begin()+indexOffset(pointIndex);
+}
+
+Coordinates::Iterator PointCoordinates::
+beginCoordinates(countT pointIndex)
+{
+    return point_coordinates.begin()+indexOffset(pointIndex);
+}
+
+#//!\name Methods
+
+void PointCoordinates::
+append(countT coordinatesCount, const coordT *c)
+{
+    if(coordinatesCount<=0){
+        return;
+    }
+    if(includesCoordinates(c)){
+        throw QhullError(10065, "Qhull error: can not append a subset of PointCoordinates to itself.  The coordinates for point %d may move.", indexOf(c, QhullError::NOthrow));
+    }
+    reserveCoordinates(coordinatesCount);
+    std::copy(c, c+coordinatesCount, std::back_inserter(point_coordinates));
+    makeValid();
+}//append coordT
+
+void PointCoordinates::
+append(const PointCoordinates &other)
+{
+    setDimension(other.dimension());
+    append(other.coordinateCount(), other.data());
+}//append PointCoordinates
+
+void PointCoordinates::
+append(const QhullPoint &p)
+{
+    setDimension(p.dimension());
+    append(p.dimension(), p.coordinates());
+}//append QhullPoint
+
+void PointCoordinates::
+appendComment(const std::string &s){
+    if(char c= s[0] && describe_points.empty()){
+        if(c=='-' || isdigit(c)){
+            throw QhullError(10028, "Qhull argument error: comments can not start with a number or minus, %s", 0, 0, 0.0, s.c_str());
+        }
+    }
+    describe_points += s;
+}//appendComment
+
+//! Read PointCoordinates from istream.  First two numbers are dimension and count.  A non-digit starts a rboxCommand.
+//! Overwrites describe_points.  See qh_readpoints [io.c]
+void PointCoordinates::
+appendPoints(istream &in)
+{
+    int inDimension;
+    countT inCount;
+    in >> ws >> inDimension >> ws;
+    if(!in.good()){
+        in.clear();
+        string remainder;
+        getline(in, remainder);
+        throw QhullError(10005, "Qhull error: input did not start with dimension or count -- %s", 0, 0, 0, remainder.c_str());
+    }
+    char c= (char)in.peek();
+    if(c!='-' && !isdigit(c)){         // Comments start with a non-digit
+        getline(in, describe_points);
+        in >> ws;
+    }
+    in >> inCount >> ws;
+    if(!in.good()){
+        in.clear();
+        string remainder;
+        getline(in, remainder);
+        throw QhullError(10009, "Qhull error: input did not start with dimension and count -- %d %s", inDimension, 0, 0, remainder.c_str());
+    }
+    c= (char)in.peek();
+    if(c!='-' && !isdigit(c)){         // Comments start with a non-digit
+        getline(in, describe_points);
+        in >> ws;
+    }
+    if(inCount<inDimension){           // Count may precede dimension
+        std::swap(inCount, inDimension);
+    }
+    setDimension(inDimension);
+    reserveCoordinates(inCount*inDimension);
+    countT coordinatesCount= 0;
+    while(!in.eof()){
+        realT p;
+        in >> p >> ws;
+        if(in.fail()){
+            in.clear();
+            string remainder;
+            getline(in, remainder);
+            throw QhullError(10008, "Qhull error: failed to read coordinate %d  of point %d\n   %s", coordinatesCount % inDimension, coordinatesCount/inDimension, 0, remainder.c_str());
+        }else{
+            point_coordinates.push_back(p);
+            coordinatesCount++;
+        }
+    }
+    if(coordinatesCount != inCount*inDimension){
+        if(coordinatesCount%inDimension==0){
+            throw QhullError(10006, "Qhull error: expected %d %d-d PointCoordinates but read %i PointCoordinates", int(inCount), inDimension, 0.0, int(coordinatesCount/inDimension));
+        }else{
+            throw QhullError(10012, "Qhull error: expected %d %d-d PointCoordinates but read %i PointCoordinates plus %f extra coordinates", inCount, inDimension, float(coordinatesCount%inDimension), coordinatesCount/inDimension);
+        }
+    }
+    makeValid();
+}//appendPoints istream
+
+PointCoordinates PointCoordinates::
+operator+(const PointCoordinates &other) const
+{
+    PointCoordinates pc= *this;
+    pc << other;
+    return pc;
+}//operator+
+
+void PointCoordinates::
+reserveCoordinates(countT newCoordinates)
+{
+    // vector::reserve is not const
+    point_coordinates.reserve((countT)point_coordinates.size()+newCoordinates); // WARN64
+    makeValid();
+}//reserveCoordinates
+
+#//!\name Helpers
+
+countT PointCoordinates::
+indexOffset(countT i) const {
+    countT n= i*dimension();
+    countT coordinatesCount= point_coordinates.count();
+    if(i<0 || n>coordinatesCount){
+        throw QhullError(10061, "Qhull error: point_coordinates is too short (%d) for point %d", coordinatesCount, i);
+    }
+    return n;
+}
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+
+using orgQhull::Coordinates;
+using orgQhull::PointCoordinates;
+
+ostream&
+operator<<(ostream &os, const PointCoordinates &p)
+{
+    p.checkValid();
+    countT count= p.count();
+    int dimension= p.dimension();
+    string comment= p.comment();
+    if(comment.empty()){
+        os << dimension << endl;
+    }else{
+        os << dimension << " " << comment << endl;
+    }
+    os << count << endl;
+    Coordinates::ConstIterator c= p.beginCoordinates();
+    for(countT i=0; i<count; i++){
+        for(int j=0; j<dimension; j++){
+            os << *c++ << " ";
+        }
+        os << endl;
+    }
+    return os;
+}//operator<<
+

deps_src/qhull/src/libqhullcpp/PointCoordinates.h

@@ -0,0 +1,161 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/PointCoordinates.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHPOINTCOORDINATES_H
+#define QHPOINTCOORDINATES_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullPoints.h"
+#include "libqhullcpp/Coordinates.h"
+
+#include <ostream>
+#include <string>
+
+#ifndef QHULL_NO_STL
+#include <vector>
+#endif
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! QhullPoints with Coordinates and description
+    //! Inherited by RboxPoints
+    class PointCoordinates;
+
+class PointCoordinates : public QhullPoints {
+
+private:
+#//!\name Fields
+    Coordinates         point_coordinates;      //! std::vector of point coordinates
+                                                //! may have extraCoordinates()
+    std::string         describe_points;          //! Comment describing PointCoordinates
+
+public:
+#//!\name Construct
+    //! QhullPoint, PointCoordinates, and QhullPoints have similar constructors
+    //! If Qhull/QhullQh is not initialized, then dimension()==0                        PointCoordinates();
+                        PointCoordinates();
+    explicit            PointCoordinates(const std::string &aComment);
+                        PointCoordinates(int pointDimension, const std::string &aComment);
+                        //! Qhull/QhullQh used for dimension() and QhullPoint equality
+    explicit            PointCoordinates(const Qhull &q);
+                        PointCoordinates(const Qhull &q, const std::string &aComment);
+                        PointCoordinates(const Qhull &q, int pointDimension, const std::string &aComment);
+                        PointCoordinates(const Qhull &q, int pointDimension, const std::string &aComment, countT coordinatesCount, const coordT *c); // may be invalid
+                        //! Use append() and appendPoints() for Coordinates and vector<coordT>
+    explicit            PointCoordinates(QhullQh *qqh);
+                        PointCoordinates(QhullQh *qqh, const std::string &aComment);
+                        PointCoordinates(QhullQh *qqh, int pointDimension, const std::string &aComment);
+                        PointCoordinates(QhullQh *qqh, int pointDimension, const std::string &aComment, countT coordinatesCount, const coordT *c); // may be invalid
+                        //! Use append() and appendPoints() for Coordinates and vector<coordT>
+                        PointCoordinates(const PointCoordinates &other);
+    PointCoordinates &  operator=(const PointCoordinates &other);
+                        ~PointCoordinates();
+
+#//!\name Convert
+    //! QhullPoints coordinates, constData, data, count, size
+#ifndef QHULL_NO_STL
+    void                append(const std::vector<coordT> &otherCoordinates) { if(!otherCoordinates.empty()){ append((int)otherCoordinates.size(), &otherCoordinates[0]); } }
+    std::vector<coordT> toStdVector() const { return point_coordinates.toStdVector(); }
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    void                append(const QList<coordT> &pointCoordinates) { if(!pointCoordinates.isEmpty()){ append(pointCoordinates.count(), &pointCoordinates[0]); } }
+    QList<coordT>       toQList() const { return point_coordinates.toQList(); }
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+    //! See QhullPoints for coordinates, coordinateCount, dimension, empty, isEmpty, ==, !=
+    void                checkValid() const;
+    std::string         comment() const { return describe_points; }
+    void                makeValid() { defineAs(point_coordinates.count(), point_coordinates.data()); }
+    const Coordinates & getCoordinates() const { return point_coordinates; }
+    void                setComment(const std::string &s) { describe_points= s; }
+    void                setDimension(int i);
+
+private:
+    //! disable QhullPoints.defineAs()
+    void                defineAs(countT coordinatesCount, coordT *c) { QhullPoints::defineAs(coordinatesCount, c); }
+public:
+
+#//!\name ElementAccess
+    //! See QhullPoints for at, back, first, front, last, mid, [], value
+
+#//!\name Foreach
+    //! See QhullPoints for begin, constBegin, end
+    Coordinates::ConstIterator  beginCoordinates() const { return point_coordinates.begin(); }
+    Coordinates::Iterator       beginCoordinates() { return point_coordinates.begin(); }
+    Coordinates::ConstIterator  beginCoordinates(countT pointIndex) const;
+    Coordinates::Iterator       beginCoordinates(countT pointIndex);
+    Coordinates::ConstIterator  endCoordinates() const { return point_coordinates.end(); }
+    Coordinates::Iterator       endCoordinates() { return point_coordinates.end(); }
+
+#//!\name Search
+    //! See QhullPoints for contains, count, indexOf, lastIndexOf
+
+#//!\name GetSet
+    PointCoordinates    operator+(const PointCoordinates &other) const;
+
+#//!\name Modify
+    //FIXUP QH11001: Add clear() and other modify operators from Coordinates.h.  Include QhullPoint::operator=()
+    void                append(countT coordinatesCount, const coordT *c);  //! Dimension previously defined
+    void                append(const coordT &c) { append(1, &c); } //! Dimension previously defined
+    void                append(const QhullPoint &p);
+    //! See convert for std::vector and QList
+    void                append(const Coordinates &c) { append(c.count(), c.data()); }
+    void                append(const PointCoordinates &other);
+    void                appendComment(const std::string &s);
+    void                appendPoints(std::istream &in);
+    PointCoordinates &  operator+=(const PointCoordinates &other) { append(other); return *this; }
+    PointCoordinates &  operator+=(const coordT &c) { append(c); return *this; }
+    PointCoordinates &  operator+=(const QhullPoint &p) { append(p); return *this; }
+    PointCoordinates &  operator<<(const PointCoordinates &other) { return *this += other; }
+    PointCoordinates &  operator<<(const coordT &c) { return *this += c; }
+    PointCoordinates &  operator<<(const QhullPoint &p) { return *this += p; }
+    // reserve() is non-const
+    void                reserveCoordinates(countT newCoordinates);
+
+#//!\name Helpers
+private:
+    int                 indexOffset(int i) const;
+
+};//PointCoordinates
+
+// No references to QhullPoint.  Prevents use of QHULL_DECLARE_SEQUENTIAL_ITERATOR(PointCoordinates, QhullPoint)
+class PointCoordinatesIterator
+{
+    typedef PointCoordinates::const_iterator const_iterator;
+
+private:
+    const PointCoordinates *c;
+    const_iterator      i;
+
+public:
+                        PointCoordinatesIterator(const PointCoordinates &container) : c(&container), i(c->constBegin()) {}
+                        PointCoordinatesIterator &operator=(const PointCoordinates &container) { c = &container; i = c->constBegin(); return *this; }
+
+    void                toFront() { i = c->constBegin(); }
+    void                toBack() { i = c->constEnd(); }
+    bool                hasNext() const { return i != c->constEnd(); }
+    const QhullPoint    next() { return *i++; }
+    const QhullPoint    peekNext() const { return *i; }
+    bool                hasPrevious() const { return i != c->constBegin(); }
+    const QhullPoint    previous() { return *--i; }
+    const QhullPoint    peekPrevious() const { const_iterator p = i; return *--p; }
+    bool                findNext(const QhullPoint &t) { while(i != c->constEnd()){ if (*i++ == t) return true;} return false; }
+    bool                findPrevious(const QhullPoint &t) { while(i != c->constBegin()){ if (*(--i) == t) return true;} return false;  }
+};//CoordinatesIterator
+
+// FIXUP QH11002:  Add MutablePointCoordinatesIterator after adding modify operators
+\
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &          operator<<(std::ostream &os, const orgQhull::PointCoordinates &p);
+
+#endif // QHPOINTCOORDINATES_H

deps_src/qhull/src/libqhullcpp/Qhull.cpp

@@ -0,0 +1,358 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/Qhull.cpp#4 $$Change: 2078 $
+** $DateTime: 2016/02/07 16:53:56 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! Qhull -- invoke qhull from C++
+#//! Compile libqhull_r and Qhull together due to use of setjmp/longjmp()
+
+#include "libqhullcpp/Qhull.h"
+
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/RboxPoints.h"
+#include "libqhullcpp/QhullQh.h"
+#include "libqhullcpp/QhullFacet.h"
+#include "libqhullcpp/QhullFacetList.h"
+
+#include <iostream>
+
+using std::cerr;
+using std::string;
+using std::vector;
+using std::ostream;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Global variables
+
+const char s_unsupported_options[]=" Fd TI ";
+const char s_not_output_options[]= " Fd TI A C d E H P Qb QbB Qbb Qc Qf Qg Qi Qm QJ Qr QR Qs Qt Qv Qx Qz Q0 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 R Tc TC TM TP TR Tv TV TW U v V W ";
+
+#//!\name Constructor, destructor, etc.
+Qhull::
+Qhull()
+: qh_qh(0)
+, origin_point()
+, run_called(false)
+, feasible_point()
+{
+    allocateQhullQh();
+}//Qhull
+
+//! Invokes Qhull on rboxPoints
+//! Same as runQhull()
+//! For rbox commands, see http://www.qhull.org/html/rbox.htm or html/rbox.htm
+//! For qhull commands, see http://www.qhull.org/html/qhull.htm or html/qhull.htm
+Qhull::
+Qhull(const RboxPoints &rboxPoints, const char *qhullCommand2)
+: qh_qh(0)
+, origin_point()
+, run_called(false)
+, feasible_point()
+{
+    allocateQhullQh();
+    runQhull(rboxPoints, qhullCommand2);
+}//Qhull rbox
+
+//! Invokes Qhull on a set of input points
+//! Same as runQhull()
+//! For qhull commands, see http://www.qhull.org/html/qhull.htm or html/qhull.htm
+Qhull::
+Qhull(const char *inputComment2, int pointDimension, int pointCount, const realT *pointCoordinates, const char *qhullCommand2)
+: qh_qh(0)
+, origin_point()
+, run_called(false)
+, feasible_point()
+{
+    allocateQhullQh();
+    runQhull(inputComment2, pointDimension, pointCount, pointCoordinates, qhullCommand2);
+}//Qhull points
+
+void Qhull::
+allocateQhullQh()
+{
+  QHULL_LIB_CHECK /* Check for compatible library */
+
+    qh_qh= new QhullQh;
+    void *p= qh_qh;
+    void *p2= static_cast<qhT *>(qh_qh);
+    char *s= static_cast<char *>(p);
+    char *s2= static_cast<char *>(p2);
+    if(s!=s2){
+        throw QhullError(10074, "Qhull error: QhullQh at a different address than base type QhT (%d bytes).  Please report compiler to qhull.org", int(s2-s));
+    }
+}//allocateQhullQh
+
+Qhull::
+~Qhull() throw()
+{
+    // Except for cerr, does not throw errors
+    if(qh_qh->hasQhullMessage()){
+        cerr<< "\nQhull output at end\n"; //FIXUP QH11005: where should error and log messages go on ~Qhull?
+        cerr<< qh_qh->qhullMessage();
+        qh_qh->clearQhullMessage();
+    }
+    delete qh_qh;
+    qh_qh= 0;
+}//~Qhull
+
+#//!\name GetSet
+
+void Qhull::
+checkIfQhullInitialized()
+{
+    if(!initialized()){ // qh_initqhull_buffers() not called
+        throw QhullError(10023, "Qhull error: checkIfQhullInitialized failed.  Call runQhull() first.");
+    }
+}//checkIfQhullInitialized
+
+//! Return feasiblePoint for halfspace intersection
+//! If called before runQhull(), then it returns the value from setFeasiblePoint.  qh.feasible_string overrides this value if it is defined.
+Coordinates Qhull::
+feasiblePoint() const
+{
+    Coordinates result;
+    if(qh_qh->feasible_point){
+        result.append(qh_qh->hull_dim, qh_qh->feasible_point);
+    }else{
+        result= feasible_point;
+    }
+    return result;
+}//feasiblePoint
+
+//! Return origin point for qh.input_dim
+QhullPoint Qhull::
+inputOrigin()
+{
+    QhullPoint result= origin();
+    result.setDimension(qh_qh->input_dim);
+    return result;
+}//inputOrigin
+
+#//!\name GetValue
+
+double Qhull::
+area(){
+    checkIfQhullInitialized();
+    if(!qh_qh->hasAreaVolume){
+        QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+            qh_getarea(qh_qh, qh_qh->facet_list);
+        }
+        qh_qh->NOerrexit= true;
+        qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+    }
+    return qh_qh->totarea;
+}//area
+
+double Qhull::
+volume(){
+    checkIfQhullInitialized();
+    if(!qh_qh->hasAreaVolume){
+        QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+            qh_getarea(qh_qh, qh_qh->facet_list);
+        }
+        qh_qh->NOerrexit= true;
+        qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+    }
+    return qh_qh->totvol;
+}//volume
+
+#//!\name Foreach
+
+//! Define QhullVertex::neighborFacets().
+//! Automatically called if merging facets or computing the Voronoi diagram.
+//! Noop if called multiple times.
+void Qhull::
+defineVertexNeighborFacets(){
+    checkIfQhullInitialized();
+    if(!qh_qh->hasAreaVolume){
+        QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+            qh_vertexneighbors(qh_qh);
+        }
+        qh_qh->NOerrexit= true;
+        qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+    }
+}//defineVertexNeighborFacets
+
+QhullFacetList Qhull::
+facetList() const{
+    return QhullFacetList(beginFacet(), endFacet());
+}//facetList
+
+QhullPoints Qhull::
+points() const
+{
+    return QhullPoints(qh_qh, qh_qh->hull_dim, qh_qh->num_points*qh_qh->hull_dim, qh_qh->first_point);
+}//points
+
+QhullPointSet Qhull::
+otherPoints() const
+{
+    return QhullPointSet(qh_qh, qh_qh->other_points);
+}//otherPoints
+
+//! Return vertices of the convex hull.
+QhullVertexList Qhull::
+vertexList() const{
+    return QhullVertexList(beginVertex(), endVertex());
+}//vertexList
+
+#//!\name Methods
+
+void Qhull::
+outputQhull()
+{
+    checkIfQhullInitialized();
+    QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+        qh_produce_output2(qh_qh);
+    }
+    qh_qh->NOerrexit= true;
+    qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+}//outputQhull
+
+void Qhull::
+outputQhull(const char *outputflags)
+{
+    checkIfQhullInitialized();
+    string cmd(" "); // qh_checkflags skips first word
+    cmd += outputflags;
+    char *command= const_cast<char*>(cmd.c_str());
+    QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+        qh_clear_outputflags(qh_qh);
+        char *s = qh_qh->qhull_command + strlen(qh_qh->qhull_command) + 1; //space
+        strncat(qh_qh->qhull_command, command, sizeof(qh_qh->qhull_command)-strlen(qh_qh->qhull_command)-1);
+        qh_checkflags(qh_qh, command, const_cast<char *>(s_not_output_options));
+        qh_initflags(qh_qh, s);
+        qh_initqhull_outputflags(qh_qh);
+        if(qh_qh->KEEPminArea < REALmax/2
+           || (0 != qh_qh->KEEParea + qh_qh->KEEPmerge + qh_qh->GOODvertex
+                    + qh_qh->GOODthreshold + qh_qh->GOODpoint + qh_qh->SPLITthresholds)){
+            facetT *facet;
+            qh_qh->ONLYgood= False;
+            FORALLfacet_(qh_qh->facet_list) {
+                facet->good= True;
+            }
+            qh_prepare_output(qh_qh);
+        }
+        qh_produce_output2(qh_qh);
+        if(qh_qh->VERIFYoutput && !qh_qh->STOPpoint && !qh_qh->STOPcone){
+            qh_check_points(qh_qh);
+        }
+    }
+    qh_qh->NOerrexit= true;
+    qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+}//outputQhull
+
+//! For qhull commands, see http://www.qhull.org/html/qhull.htm or html/qhull.htm
+void Qhull::
+runQhull(const RboxPoints &rboxPoints, const char *qhullCommand2)
+{
+    runQhull(rboxPoints.comment().c_str(), rboxPoints.dimension(), rboxPoints.count(), &*rboxPoints.coordinates(), qhullCommand2);
+}//runQhull, RboxPoints
+
+//! pointCoordinates is a array of points, input sites ('d' or 'v'), or halfspaces with offset last ('H')
+//! Derived from qh_new_qhull [user.c]
+//! For rbox commands, see http://www.qhull.org/html/rbox.htm or html/rbox.htm
+//! For qhull commands, see http://www.qhull.org/html/qhull.htm or html/qhull.htm
+void Qhull::
+runQhull(const char *inputComment, int pointDimension, int pointCount, const realT *pointCoordinates, const char *qhullCommand)
+{
+  /* gcc may issue a "might be clobbered" warning for pointDimension and pointCoordinates [-Wclobbered].
+     These parameters are not referenced after a longjmp() and hence not clobbered.
+     See http://stackoverflow.com/questions/7721854/what-sense-do-these-clobbered-variable-warnings-make */
+    if(run_called){
+        throw QhullError(10027, "Qhull error: runQhull called twice.  Only one call allowed.");
+    }
+    run_called= true;
+    string s("qhull ");
+    s += qhullCommand;
+    char *command= const_cast<char*>(s.c_str());
+    /************* Expansion of QH_TRY_ for debugging
+    int QH_TRY_status;
+    if(qh_qh->NOerrexit){
+        qh_qh->NOerrexit= False;
+        QH_TRY_status= setjmp(qh_qh->errexit);
+    }else{
+        QH_TRY_status= QH_TRY_ERROR;
+    }
+    if(!QH_TRY_status){
+    *************/
+    QH_TRY_(qh_qh){ // no object creation -- destructors are skipped on longjmp()
+        qh_checkflags(qh_qh, command, const_cast<char *>(s_unsupported_options));
+        qh_initflags(qh_qh, command);
+        *qh_qh->rbox_command= '\0';
+        strncat( qh_qh->rbox_command, inputComment, sizeof(qh_qh->rbox_command)-1);
+        if(qh_qh->DELAUNAY){
+            qh_qh->PROJECTdelaunay= True;   // qh_init_B() calls qh_projectinput()
+        }
+        pointT *newPoints= const_cast<pointT*>(pointCoordinates);
+        int newDimension= pointDimension;
+        int newIsMalloc= False;
+        if(qh_qh->HALFspace){
+            --newDimension;
+            initializeFeasiblePoint(newDimension);
+            newPoints= qh_sethalfspace_all(qh_qh, pointDimension, pointCount, newPoints, qh_qh->feasible_point);
+            newIsMalloc= True;
+        }
+        qh_init_B(qh_qh, newPoints, pointCount, newDimension, newIsMalloc);
+        qh_qhull(qh_qh);
+        qh_check_output(qh_qh);
+        qh_prepare_output(qh_qh);
+        if(qh_qh->VERIFYoutput && !qh_qh->STOPpoint && !qh_qh->STOPcone){
+            qh_check_points(qh_qh);
+        }
+    }
+    qh_qh->NOerrexit= true;
+    for(int k= qh_qh->hull_dim; k--; ){  // Do not move into QH_TRY block.  It may throw an error
+        origin_point << 0.0;
+    }
+    // BBS: throw up the error to prevent crash
+    try {
+        qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+    }
+    catch (QhullError& e) {
+        throw e;
+    }
+}//runQhull
+
+#//!\name Helpers -- be careful of allocating C++ objects due to setjmp/longjmp() error handling by qh_... routines
+
+//! initialize qh.feasible_point for half-space intersection
+//! Sets from qh.feasible_string if available, otherwise from Qhull::feasible_point
+//! called only once from runQhull(), otherwise it leaks memory (the same as qh_setFeasible)
+void Qhull::
+initializeFeasiblePoint(int hulldim)
+{
+    if(qh_qh->feasible_string){
+        qh_setfeasible(qh_qh, hulldim);
+    }else{
+        if(feasible_point.isEmpty()){
+            qh_fprintf(qh_qh, qh_qh->ferr, 6209, "qhull error: missing feasible point for halfspace intersection.  Use option 'Hn,n' or Qhull::setFeasiblePoint before runQhull()\n");
+            qh_errexit(qh_qh, qh_ERRmem, NULL, NULL);
+        }
+        if(feasible_point.size()!=(size_t)hulldim){
+            qh_fprintf(qh_qh, qh_qh->ferr, 6210, "qhull error: dimension of feasiblePoint should be %d.  It is %u", hulldim, feasible_point.size());
+            qh_errexit(qh_qh, qh_ERRmem, NULL, NULL);
+        }
+        if (!(qh_qh->feasible_point= (coordT*)qh_malloc(hulldim * sizeof(coordT)))) {
+            qh_fprintf(qh_qh, qh_qh->ferr, 6202, "qhull error: insufficient memory for feasible point\n");
+            qh_errexit(qh_qh, qh_ERRmem, NULL, NULL);
+        }
+        coordT *t= qh_qh->feasible_point;
+        // No qh_... routines after here -- longjmp() ignores destructor
+        for(Coordinates::ConstIterator p=feasible_point.begin(); p<feasible_point.end(); p++){
+            *t++= *p;
+        }
+    }
+}//initializeFeasiblePoint
+
+}//namespace orgQhull
+

deps_src/qhull/src/libqhullcpp/Qhull.h

@@ -0,0 +1,132 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/Qhull.h#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLCPP_H
+#define QHULLCPP_H
+
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullVertex.h"
+#include "libqhullcpp/QhullFacet.h"
+
+namespace orgQhull {
+
+/***
+   Compile qhullcpp and libqhull with the same compiler.  setjmp() and longjmp() must be the same.
+
+   #define QHULL_NO_STL
+      Do not supply conversions to STL
+      Coordinates.h requires <vector>.  It could be rewritten for another vector class such as QList
+   #define QHULL_USES_QT
+      Supply conversions to QT
+      qhulltest requires QT.  It is defined in RoadTest.h
+
+  #define QHULL_ASSERT
+      Defined by QhullError.h
+      It invokes assert()
+*/
+
+#//!\name Used here
+    class QhullFacetList;
+    class QhullPoints;
+    class QhullQh;
+    class RboxPoints;
+
+#//!\name Defined here
+    class Qhull;
+
+//! Interface to Qhull from C++
+class Qhull {
+
+private:
+#//!\name Members and friends
+    QhullQh *           qh_qh;          //! qhT for this instance
+    Coordinates         origin_point;   //! origin for qh_qh->hull_dim.  Set by runQhull()
+    bool                run_called;     //! True at start of runQhull.  Errors if call again.
+    Coordinates         feasible_point;  //! feasible point for half-space intersection (alternative to qh.feasible_string for qh.feasible_point)
+
+public:
+#//!\name Constructors
+                        Qhull();      //!< call runQhull() next
+                        Qhull(const RboxPoints &rboxPoints, const char *qhullCommand2);
+                        Qhull(const char *inputComment2, int pointDimension, int pointCount, const realT *pointCoordinates, const char *qhullCommand2);
+                        ~Qhull() throw();
+private:                //! Disable copy constructor and assignment.  Qhull owns QhullQh.
+                        Qhull(const Qhull &);
+    Qhull &             operator=(const Qhull &);
+
+private:
+    void                allocateQhullQh();
+
+public:
+
+#//!\name GetSet
+    void                checkIfQhullInitialized();
+    int                 dimension() const { return qh_qh->input_dim; } //!< Dimension of input and result
+    void                disableOutputStream() { qh_qh->disableOutputStream(); }
+    void                enableOutputStream() { qh_qh->enableOutputStream(); }
+    countT              facetCount() const { return qh_qh->num_facets; }
+    Coordinates         feasiblePoint() const; 
+    int                 hullDimension() const { return qh_qh->hull_dim; } //!< Dimension of the computed hull
+    bool                hasOutputStream() const { return qh_qh->hasOutputStream(); }
+    bool                initialized() const { return (qh_qh->hull_dim>0); }
+    const char *        inputComment() const { return qh_qh->rbox_command; }
+    QhullPoint          inputOrigin();
+                        //! non-const due to QhullPoint
+    QhullPoint          origin() { QHULL_ASSERT(initialized()); return QhullPoint(qh_qh, origin_point.data()); }
+    QhullQh *           qh() const { return qh_qh; };
+    const char *        qhullCommand() const { return qh_qh->qhull_command; }
+    const char *        rboxCommand() const { return qh_qh->rbox_command; }
+    int                 rotateRandom() const { return qh_qh->ROTATErandom; } //!< Return QRn for repeating QR0 runs
+    void                setFeasiblePoint(const Coordinates &c) { feasible_point= c; } //!< Sets qh.feasible_point via initializeFeasiblePoint
+    countT              vertexCount() const { return qh_qh->num_vertices; }
+
+#//!\name Delegated to QhullQh
+    double              angleEpsilon() const { return qh_qh->angleEpsilon(); } //!< Epsilon for hyperplane angle equality
+    void                appendQhullMessage(const std::string &s) { qh_qh->appendQhullMessage(s); }
+    void                clearQhullMessage() { qh_qh->clearQhullMessage(); }
+    double              distanceEpsilon() const { return qh_qh->distanceEpsilon(); } //!< Epsilon for distance to hyperplane
+    double              factorEpsilon() const { return qh_qh->factorEpsilon(); }  //!< Factor for angleEpsilon and distanceEpsilon
+    std::string         qhullMessage() const { return qh_qh->qhullMessage(); }
+    bool                hasQhullMessage() const { return qh_qh->hasQhullMessage(); }
+    int                 qhullStatus() const { return qh_qh->qhullStatus(); }
+    void                setErrorStream(std::ostream *os) { qh_qh->setErrorStream(os); }
+    void                setFactorEpsilon(double a) { qh_qh->setFactorEpsilon(a); }
+    void                setOutputStream(std::ostream *os) { qh_qh->setOutputStream(os); }
+
+#//!\name ForEach
+    QhullFacet          beginFacet() const { return QhullFacet(qh_qh, qh_qh->facet_list); }
+    QhullVertex         beginVertex() const { return QhullVertex(qh_qh, qh_qh->vertex_list); }
+    void                defineVertexNeighborFacets(); //!< Automatically called if merging facets or Voronoi diagram
+    QhullFacet          endFacet() const { return QhullFacet(qh_qh, qh_qh->facet_tail); }
+    QhullVertex         endVertex() const { return QhullVertex(qh_qh, qh_qh->vertex_tail); }
+    QhullFacetList      facetList() const;
+    QhullFacet          firstFacet() const { return beginFacet(); }
+    QhullVertex         firstVertex() const { return beginVertex(); }
+    QhullPoints         points() const;
+    QhullPointSet       otherPoints() const;
+                        //! Same as points().coordinates()
+    coordT *            pointCoordinateBegin() const { return qh_qh->first_point; }
+    coordT *            pointCoordinateEnd() const { return qh_qh->first_point + qh_qh->num_points*qh_qh->hull_dim; }
+    QhullVertexList     vertexList() const;
+
+#//!\name Methods
+    double              area();
+    void                outputQhull();
+    void                outputQhull(const char * outputflags);
+    void                runQhull(const RboxPoints &rboxPoints, const char *qhullCommand2);
+    void                runQhull(const char *inputComment2, int pointDimension, int pointCount, const realT *pointCoordinates, const char *qhullCommand2);
+    double              volume();
+
+#//!\name Helpers
+private:
+    void                initializeFeasiblePoint(int hulldim);
+};//Qhull
+
+}//namespace orgQhull
+
+#endif // QHULLCPP_H

deps_src/qhull/src/libqhullcpp/QhullError.h

@@ -0,0 +1,62 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullError.h#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLERROR_H
+#define QHULLERROR_H
+
+#include "libqhullcpp/RoadError.h"
+// No dependencies on libqhull
+
+#ifndef QHULL_ASSERT
+#define QHULL_ASSERT assert
+#include <assert.h>
+#endif
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! QhullError -- std::exception class for Qhull
+    class QhullError;
+
+class QhullError : public RoadError {
+
+public:
+#//!\name Constants
+    enum {
+        QHULLfirstError= 10000, //MSG_QHULL_ERROR in Qhull's user.h
+        QHULLlastError= 10078,
+        NOthrow= 1 //! For flag to indexOf()
+    };
+
+#//!\name Constructors
+    // default constructors
+    QhullError() : RoadError() {};
+    QhullError(const QhullError &other) : RoadError(other) {}
+    QhullError(int code, const std::string &message) : RoadError(code, message) {};
+    QhullError(int code, const char *fmt) : RoadError(code, fmt) {};
+    QhullError(int code, const char *fmt, int d) : RoadError(code, fmt, d) {};
+    QhullError(int code, const char *fmt, int d, int d2) : RoadError(code, fmt, d, d2) {};
+    QhullError(int code, const char *fmt, int d, int d2, float f) : RoadError(code, fmt, d, d2, f) {};
+    QhullError(int code, const char *fmt, int d, int d2, float f, const char *s) : RoadError(code, fmt, d, d2, f, s) {};
+    QhullError(int code, const char *fmt, int d, int d2, float f, const void *x) : RoadError(code, fmt, d, d2, f, x) {};
+    QhullError(int code, const char *fmt, int d, int d2, float f, int i) : RoadError(code, fmt, d, d2, f, i) {};
+    QhullError(int code, const char *fmt, int d, int d2, float f, long long i) : RoadError(code, fmt, d, d2, f, i) {};
+    QhullError(int code, const char *fmt, int d, int d2, float f, double e) : RoadError(code, fmt, d, d2, f, e) {};
+    QhullError &operator=(const QhullError &other) { this->RoadError::operator=(other); return *this; }
+    ~QhullError() throw() {}
+
+};//class QhullError
+
+
+}//namespace orgQhull
+
+#//!\name Global
+
+inline std::ostream &operator<<(std::ostream &os, const orgQhull::QhullError &e) { return os << e.what(); }
+
+#endif // QHULLERROR_H

deps_src/qhull/src/libqhullcpp/QhullFacet.cpp

@@ -0,0 +1,519 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullFacet.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullFacet -- Qhull's facet structure, facetT, as a C++ class
+
+#include "libqhullcpp/QhullFacet.h"
+
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/Qhull.h"
+#include "libqhullcpp/QhullSet.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullPointSet.h"
+#include "libqhullcpp/QhullRidge.h"
+#include "libqhullcpp/QhullFacetSet.h"
+#include "libqhullcpp/QhullVertex.h"
+
+#include <ostream>
+
+using std::endl;
+using std::ostream;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Class objects
+facetT QhullFacet::
+s_empty_facet= {0,0,0,0,{0},
+        0,0,0,0,0,
+        0,0,0,0,0,
+        0,0,0,0,0,
+        0,0,0,0,0,
+        0,0,0,0,0,
+        0,0,0,0,0,
+        0,0,0,0};
+
+#//!\name Constructors
+
+QhullFacet::
+QhullFacet(const Qhull &q) 
+: qh_facet(&s_empty_facet)
+, qh_qh(q.qh())
+{
+}
+
+QhullFacet::
+QhullFacet(const Qhull &q, facetT *f) 
+: qh_facet(f ? f : &s_empty_facet)
+, qh_qh(q.qh())
+{
+}
+
+#//!\name GetSet
+
+//! Return voronoi center or facet centrum.  Derived from qh_printcenter [io_r.c]
+//! if printFormat=qh_PRINTtriangles and qh.DELAUNAY, returns centrum of a Delaunay facet
+//! Sets center if needed
+//! Code duplicated for PrintCenter and getCenter
+//! Returns QhullPoint() if none or qh_INFINITE
+QhullPoint QhullFacet::
+getCenter(qh_PRINT printFormat)
+{
+    if(!qh_qh){
+        // returns QhullPoint()
+    }else if(qh_qh->CENTERtype==qh_ASvoronoi){
+        if(!qh_facet->normal || !qh_facet->upperdelaunay || !qh_qh->ATinfinity){
+            if(!qh_facet->center){
+                QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+                    qh_facet->center= qh_facetcenter(qh_qh, qh_facet->vertices);
+                }
+                qh_qh->NOerrexit= true;
+                qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+            }
+            return QhullPoint(qh_qh, qh_qh->hull_dim-1, qh_facet->center);
+        }
+    }else if(qh_qh->CENTERtype==qh_AScentrum){
+        volatile int numCoords= qh_qh->hull_dim;
+        if(printFormat==qh_PRINTtriangles && qh_qh->DELAUNAY){
+            numCoords--;
+        }
+        if(!qh_facet->center){
+            QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+                qh_facet->center= qh_getcentrum(qh_qh, getFacetT());
+            }
+            qh_qh->NOerrexit= true;
+            qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+        }
+        return QhullPoint(qh_qh, numCoords, qh_facet->center);
+    }
+    return QhullPoint();
+ }//getCenter
+
+//! Return innerplane clearly below the vertices
+//! from io_r.c[qh_PRINTinner]
+QhullHyperplane QhullFacet::
+innerplane() const{
+    QhullHyperplane h;
+    if(qh_qh){
+        realT inner;
+        // Does not error, TRY_QHULL_ not needed
+        qh_outerinner(qh_qh, const_cast<facetT *>(getFacetT()), NULL, &inner);
+        h= hyperplane();
+        h.setOffset(h.offset()-inner); //inner is negative
+    }
+    return h;
+}//innerplane
+
+//! Return outerplane clearly above all points
+//! from io_r.c[qh_PRINTouter]
+QhullHyperplane QhullFacet::
+outerplane() const{
+    QhullHyperplane h;
+    if(qh_qh){
+        realT outer;
+        // Does not error, TRY_QHULL_ not needed
+        qh_outerinner(qh_qh, const_cast<facetT *>(getFacetT()), &outer, NULL);
+        h= hyperplane();
+        h.setOffset(h.offset()-outer); //outer is positive
+    }
+    return h;
+}//outerplane
+
+//! Set by qh_triangulate for option 'Qt'.
+//! Errors if tricoplanar and facetArea() or qh_getarea() called first.
+QhullFacet QhullFacet::
+tricoplanarOwner() const
+{
+    if(qh_facet->tricoplanar){
+        if(qh_facet->isarea){
+            throw QhullError(10018, "Qhull error: facetArea() or qh_getarea() previously called.  triCoplanarOwner() is not available.");
+        }
+        return QhullFacet(qh_qh, qh_facet->f.triowner);
+    }
+    return QhullFacet(qh_qh); 
+}//tricoplanarOwner
+
+QhullPoint QhullFacet::
+voronoiVertex()
+{
+    if(qh_qh && qh_qh->CENTERtype!=qh_ASvoronoi){
+          throw QhullError(10052, "Error: QhullFacet.voronoiVertex() requires option 'v' (qh_ASvoronoi)");
+    }
+    return getCenter();
+}//voronoiVertex
+
+#//!\name Value
+
+//! Disables tricoplanarOwner()
+double QhullFacet::
+facetArea()
+{
+    if(qh_qh && !qh_facet->isarea){
+        QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+            qh_facet->f.area= qh_facetarea(qh_qh, qh_facet);
+            qh_facet->isarea= True;
+        }
+        qh_qh->NOerrexit= true;
+        qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+    }
+    return qh_facet->f.area;
+}//facetArea
+
+#//!\name Foreach
+
+QhullPointSet QhullFacet::
+coplanarPoints() const
+{
+    return QhullPointSet(qh_qh, qh_facet->coplanarset);
+}//coplanarPoints
+
+QhullFacetSet QhullFacet::
+neighborFacets() const
+{
+    return QhullFacetSet(qh_qh, qh_facet->neighbors);
+}//neighborFacets
+
+QhullPointSet QhullFacet::
+outsidePoints() const
+{
+    return QhullPointSet(qh_qh, qh_facet->outsideset);
+}//outsidePoints
+
+QhullRidgeSet QhullFacet::
+ridges() const
+{
+    return QhullRidgeSet(qh_qh, qh_facet->ridges);
+}//ridges
+
+QhullVertexSet QhullFacet::
+vertices() const
+{
+    return QhullVertexSet(qh_qh, qh_facet->vertices);
+}//vertices
+
+}//namespace orgQhull
+
+#//!\name operator<<
+
+using std::ostream;
+
+using orgQhull::QhullFacet;
+using orgQhull::QhullFacetSet;
+using orgQhull::QhullPoint;
+using orgQhull::QhullPointSet;
+using orgQhull::QhullRidge;
+using orgQhull::QhullRidgeSet;
+using orgQhull::QhullSetBase;
+using orgQhull::QhullVertexSet;
+
+ostream &
+operator<<(ostream &os, const QhullFacet::PrintFacet &pr)
+{
+    os << pr.message;
+    QhullFacet f= *pr.facet;
+    if(f.getFacetT()==0){ // Special values from set iterator
+        os << " NULLfacet" << endl;
+        return os;
+    }
+    if(f.getFacetT()==qh_MERGEridge){
+        os << " MERGEridge" << endl;
+        return os;
+    }
+    if(f.getFacetT()==qh_DUPLICATEridge){
+        os << " DUPLICATEridge" << endl;
+        return os;
+    }
+    os << f.printHeader();
+    if(!f.ridges().isEmpty()){
+        os << f.printRidges();
+    }
+    return os;
+}//operator<< PrintFacet
+
+//! Print Voronoi center or facet centrum to stream.  Same as qh_printcenter [_r.]
+//! Code duplicated for PrintCenter and getCenter
+//! Sets center if needed
+ostream &
+operator<<(ostream &os, const QhullFacet::PrintCenter &pr)
+{
+    facetT *f= pr.facet->getFacetT();
+    if(pr.facet->qh()->CENTERtype!=qh_ASvoronoi && pr.facet->qh()->CENTERtype!=qh_AScentrum){
+        return os;
+    }
+    if (pr.message){
+        os << pr.message;
+    }
+    int numCoords;
+    if(pr.facet->qh()->CENTERtype==qh_ASvoronoi){
+        numCoords= pr.facet->qh()->hull_dim-1;
+        if(!f->normal || !f->upperdelaunay || !pr.facet->qh()->ATinfinity){
+            if(!f->center){
+                f->center= qh_facetcenter(pr.facet->qh(), f->vertices);
+            }
+            for(int k=0; k<numCoords; k++){
+                os << f->center[k] << " "; // FIXUP QH11010 qh_REAL_1
+            }
+        }else{
+            for(int k=0; k<numCoords; k++){
+                os << qh_INFINITE << " "; // FIXUP QH11010 qh_REAL_1
+            }
+        }
+    }else{ // qh CENTERtype==qh_AScentrum
+        numCoords= pr.facet->qh()->hull_dim;
+        if(pr.print_format==qh_PRINTtriangles && pr.facet->qh()->DELAUNAY){
+            numCoords--;
+        }
+        if(!f->center){
+            f->center= qh_getcentrum(pr.facet->qh(), f);
+        }
+        for(int k=0; k<numCoords; k++){
+            os << f->center[k] << " "; // FIXUP QH11010 qh_REAL_1
+        }
+    }
+    if(pr.print_format==qh_PRINTgeom && numCoords==2){
+        os << " 0";
+    }
+    os << endl;
+    return os;
+}//operator<< PrintCenter
+
+//! Print flags for facet to stream.  Space prefix.  From qh_printfacetheader [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullFacet::PrintFlags &p)
+{
+    const facetT *f= p.facet->getFacetT();
+    if(p.message){
+        os << p.message;
+    }
+
+    os << (p.facet->isTopOrient() ? " top" : " bottom");
+    if(p.facet->isSimplicial()){
+        os << " simplicial";
+    }
+    if(p.facet->isTriCoplanar()){
+        os << " tricoplanar";
+    }
+    if(p.facet->isUpperDelaunay()){
+        os << " upperDelaunay";
+    }
+    if(f->visible){
+        os << " visible";
+    }
+    if(f->newfacet){
+        os << " new";
+    }
+    if(f->tested){
+        os << " tested";
+    }
+    if(!f->good){
+        os << " notG";
+    }
+    if(f->seen){
+        os << " seen";
+    }
+    if(f->coplanar){
+        os << " coplanar";
+    }
+    if(f->mergehorizon){
+        os << " mergehorizon";
+    }
+    if(f->keepcentrum){
+        os << " keepcentrum";
+    }
+    if(f->dupridge){
+        os << " dupridge";
+    }
+    if(f->mergeridge && !f->mergeridge2){
+        os << " mergeridge1";
+    }
+    if(f->mergeridge2){
+        os << " mergeridge2";
+    }
+    if(f->newmerge){
+        os << " newmerge";
+    }
+    if(f->flipped){
+        os << " flipped";
+    }
+    if(f->notfurthest){
+        os << " notfurthest";
+    }
+    if(f->degenerate){
+        os << " degenerate";
+    }
+    if(f->redundant){
+        os << " redundant";
+    }
+    os << endl;
+    return os;
+}//operator<< PrintFlags
+
+//! Print header for facet to stream. Space prefix.  From qh_printfacetheader [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullFacet::PrintHeader &pr)
+{
+    QhullFacet facet= *pr.facet;
+    facetT *f= facet.getFacetT();
+    os << "- f" << facet.id() << endl;
+    os << facet.printFlags("    - flags:");
+    if(f->isarea){
+        os << "    - area: " << f->f.area << endl; //FIXUP QH11010 2.2g
+    }else if(pr.facet->qh()->NEWfacets && f->visible && f->f.replace){
+        os << "    - replacement: f" << f->f.replace->id << endl;
+    }else if(f->newfacet){
+        if(f->f.samecycle && f->f.samecycle != f){
+            os << "    - shares same visible/horizon as f" << f->f.samecycle->id << endl;
+        }
+    }else if(f->tricoplanar /* !isarea */){
+        if(f->f.triowner){
+            os << "    - owner of normal & centrum is facet f" << f->f.triowner->id << endl;
+        }
+    }else if(f->f.newcycle){
+        os << "    - was horizon to f" << f->f.newcycle->id << endl;
+    }
+    if(f->nummerge){
+        os << "    - merges: " << f->nummerge << endl;
+    }
+    os << facet.hyperplane().print("    - normal: ", "\n    - offset: "); // FIXUP QH11010 %10.7g
+    if(pr.facet->qh()->CENTERtype==qh_ASvoronoi || f->center){
+        os << facet.printCenter(qh_PRINTfacets, "    - center: ");
+    }
+#if qh_MAXoutside
+    if(f->maxoutside > pr.facet->qh()->DISTround){
+        os << "    - maxoutside: " << f->maxoutside << endl; //FIXUP QH11010 %10.7g
+    }
+#endif
+    QhullPointSet ps= facet.outsidePoints();
+    if(!ps.isEmpty()){
+        QhullPoint furthest= ps.last();
+        if (ps.size() < 6) {
+            os << "    - outside set(furthest p" << furthest.id() << "):" << endl;
+            for(QhullPointSet::iterator i=ps.begin(); i!=ps.end(); ++i){
+                QhullPoint p= *i;
+                os << p.print("     ");
+            }
+        }else if(ps.size()<21){
+            os << ps.print("    - outside set:");
+        }else{
+            os << "    - outside set:  " << ps.size() << " points.";
+            os << furthest.print("  Furthest");
+        }
+#if !qh_COMPUTEfurthest
+        os << "    - furthest distance= " << f->furthestdist << endl; //FIXUP QH11010 %2.2g
+#endif
+    }
+    QhullPointSet cs= facet.coplanarPoints();
+    if(!cs.isEmpty()){
+        QhullPoint furthest= cs.last();
+        if (cs.size() < 6) {
+            os << "    - coplanar set(furthest p" << furthest.id() << "):" << endl;
+            for(QhullPointSet::iterator i=cs.begin(); i!=cs.end(); ++i){
+                QhullPoint p= *i;
+                os << p.print("     ");
+            }
+        }else if(cs.size()<21){
+            os << cs.print("    - coplanar set:");
+        }else{
+            os << "    - coplanar set:  " << cs.size() << " points.";
+            os << furthest.print("  Furthest");
+        }
+        // FIXUP QH11027 Can/should zinc_(Zdistio) be called from C++ interface
+        double d= facet.distance(furthest);
+        os << "      furthest distance= " << d << endl; //FIXUP QH11010 %2.2g
+    }
+    QhullVertexSet vs= facet.vertices();
+    if(!vs.isEmpty()){
+        os << vs.print("    - vertices:");
+    }
+    QhullFacetSet fs= facet.neighborFacets();
+    fs.selectAll();
+    if(!fs.isEmpty()){
+        os << fs.printIdentifiers("    - neighboring facets:");
+    }
+    return os;
+}//operator<< PrintHeader
+
+
+//! Print ridges of facet to stream.  Same as qh_printfacetridges [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullFacet::PrintRidges &pr)
+{
+    const QhullFacet facet= *pr.facet;
+    facetT *f= facet.getFacetT();
+    QhullRidgeSet rs= facet.ridges();
+    if(!rs.isEmpty()){
+        if(f->visible && pr.facet->qh()->NEWfacets){
+            os << "    - ridges(ids may be garbage):";
+            for(QhullRidgeSet::iterator i=rs.begin(); i!=rs.end(); ++i){
+                QhullRidge r= *i;
+                os << " r" << r.id();
+            }
+            os << endl;
+        }else{
+            os << "    - ridges:" << endl;
+        }
+
+        // Keep track of printed ridges
+        for(QhullRidgeSet::iterator i=rs.begin(); i!=rs.end(); ++i){
+            QhullRidge r= *i;
+            r.getRidgeT()->seen= false;
+        }
+        int ridgeCount= 0;
+        if(facet.dimension()==3){
+            for(QhullRidge r= rs.first(); !r.getRidgeT()->seen; r= r.nextRidge3d(facet)){
+                r.getRidgeT()->seen= true;
+                os << r.print("");
+                ++ridgeCount;
+                if(!r.hasNextRidge3d(facet)){
+                    break;
+                }
+            }
+        }else {
+            QhullFacetSet ns(facet.neighborFacets());
+            for(QhullFacetSet::iterator i=ns.begin(); i!=ns.end(); ++i){
+                QhullFacet neighbor= *i;
+                QhullRidgeSet nrs(neighbor.ridges());
+                for(QhullRidgeSet::iterator j=nrs.begin(); j!=nrs.end(); ++j){
+                    QhullRidge r= *j;
+                    if(r.otherFacet(neighbor)==facet){
+                        r.getRidgeT()->seen= true;
+                        os << r.print("");
+                        ridgeCount++;
+                    }
+                }
+            }
+        }
+        if(ridgeCount!=rs.count()){
+            os << "     - all ridges:";
+            for(QhullRidgeSet::iterator i=rs.begin(); i!=rs.end(); ++i){
+                QhullRidge r= *i;
+                os << " r" << r.id();
+            }
+            os << endl;
+        }
+        for(QhullRidgeSet::iterator i=rs.begin(); i!=rs.end(); ++i){
+            QhullRidge r= *i;
+            if(!r.getRidgeT()->seen){
+                os << r.print("");
+            }
+        }
+    }
+    return os;
+}//operator<< PrintRidges
+
+// "No conversion" error if defined inline
+ostream &
+operator<<(ostream &os, QhullFacet &f)
+{
+    os << f.print("");
+    return os;
+}//<< QhullFacet

deps_src/qhull/src/libqhullcpp/QhullFacet.h

@@ -0,0 +1,151 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullFacet.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLFACET_H
+#define QHULLFACET_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullHyperplane.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullSet.h"
+#include "libqhullcpp/QhullPointSet.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Coordinates;
+    class Qhull;
+    class QhullFacetSet;
+    class QhullRidge;
+    class QhullVertex;
+    class QhullVertexSet;
+
+#//!\name Defined here
+    class QhullFacet;
+    typedef QhullSet<QhullRidge>  QhullRidgeSet;
+
+//! A QhullFacet is the C++ equivalent to Qhull's facetT*
+class QhullFacet {
+
+#//!\name Defined here
+public:
+    typedef facetT *   base_type;  // for QhullVertexSet
+
+private:
+#//!\name Fields -- no additions (QhullFacetSet of facetT*)
+    facetT *            qh_facet;  //!< Corresponding facetT, may be 0 for corner cases (e.g., *facetSet.end()==0) and tricoplanarOwner()
+    QhullQh *           qh_qh;     //!< QhullQh/qhT for facetT, may be 0
+
+#//!\name Class objects
+    static facetT       s_empty_facet; // needed for shallow copy
+
+public:
+#//!\name Constructors
+                        QhullFacet() : qh_facet(&s_empty_facet), qh_qh(0) {}
+    explicit            QhullFacet(const Qhull &q);
+                        QhullFacet(const Qhull &q, facetT *f);
+    explicit            QhullFacet(QhullQh *qqh) : qh_facet(&s_empty_facet), qh_qh(qqh) {}
+                        QhullFacet(QhullQh *qqh, facetT *f) : qh_facet(f ? f : &s_empty_facet), qh_qh(qqh) {}
+                        // Creates an alias.  Does not copy QhullFacet.  Needed for return by value and parameter passing
+                        QhullFacet(const QhullFacet &other) : qh_facet(other.qh_facet ? other.qh_facet : &s_empty_facet), qh_qh(other.qh_qh) {}
+                        // Creates an alias.  Does not copy QhullFacet.  Needed for vector<QhullFacet>
+    QhullFacet &        operator=(const QhullFacet &other) { qh_facet= other.qh_facet ? other.qh_facet : &s_empty_facet; qh_qh= other.qh_qh; return *this; }
+                        ~QhullFacet() {}
+
+
+#//!\name GetSet
+    int                 dimension() const { return (qh_qh ? qh_qh->hull_dim : 0); }
+    QhullPoint          getCenter() { return getCenter(qh_PRINTpoints); }
+    QhullPoint          getCenter(qh_PRINT printFormat);
+    facetT *            getBaseT() const { return getFacetT(); } //!< For QhullSet<QhullFacet>
+                        // Do not define facetT().  It conflicts with return type facetT*
+    facetT *            getFacetT() const { return qh_facet; }
+    QhullHyperplane     hyperplane() const { return QhullHyperplane(qh_qh, dimension(), qh_facet->normal, qh_facet->offset); }
+    countT              id() const { return (qh_facet ? qh_facet->id : (int)qh_IDunknown); }
+    QhullHyperplane     innerplane() const;
+    bool                isValid() const { return qh_qh && qh_facet && qh_facet != &s_empty_facet; }
+    bool                isGood() const { return qh_facet && qh_facet->good; }
+    bool                isSimplicial() const { return qh_facet && qh_facet->simplicial; }
+    bool                isTopOrient() const { return qh_facet && qh_facet->toporient; }
+    bool                isTriCoplanar() const { return qh_facet && qh_facet->tricoplanar; }
+    bool                isUpperDelaunay() const { return qh_facet && qh_facet->upperdelaunay; }
+    QhullFacet          next() const { return QhullFacet(qh_qh, qh_facet->next); }
+    bool                operator==(const QhullFacet &other) const { return qh_facet==other.qh_facet; }
+    bool                operator!=(const QhullFacet &other) const { return !operator==(other); }
+    QhullHyperplane     outerplane() const;
+    QhullFacet          previous() const { return QhullFacet(qh_qh, qh_facet->previous); }
+    QhullQh *           qh() const { return qh_qh; }
+    QhullFacet          tricoplanarOwner() const;
+    QhullPoint          voronoiVertex();
+
+#//!\name value
+    //! Undefined if c.size() != dimension()
+    double              distance(const Coordinates &c) const { return distance(c.data()); }
+    double              distance(const pointT *p) const { return distance(QhullPoint(qh_qh, const_cast<coordT *>(p))); }
+    double              distance(const QhullPoint &p) const { return hyperplane().distance(p); }
+    double              facetArea();
+
+#//!\name foreach
+    // Can not inline.  Otherwise circular reference
+    QhullPointSet       coplanarPoints() const;
+    QhullFacetSet       neighborFacets() const;
+    QhullPointSet       outsidePoints() const;
+    QhullRidgeSet       ridges() const;
+    QhullVertexSet      vertices() const;
+
+#//!\name IO
+    struct PrintCenter{
+        QhullFacet *    facet;  // non-const due to facet.center()
+        const char *    message;
+        qh_PRINT        print_format;
+                        PrintCenter(QhullFacet &f, qh_PRINT printFormat, const char * s) : facet(&f), message(s), print_format(printFormat){}
+    };//PrintCenter
+    PrintCenter         printCenter(qh_PRINT printFormat, const char *message) { return PrintCenter(*this, printFormat, message); }
+
+    struct PrintFacet{
+        QhullFacet *    facet;  // non-const due to f->center()
+        const char *    message;
+        explicit        PrintFacet(QhullFacet &f, const char * s) : facet(&f), message(s) {}
+    };//PrintFacet
+    PrintFacet          print(const char *message) { return PrintFacet(*this, message); }
+
+    struct PrintFlags{
+        const QhullFacet *facet;
+        const char *    message;
+                        PrintFlags(const QhullFacet &f, const char *s) : facet(&f), message(s) {}
+    };//PrintFlags
+    PrintFlags          printFlags(const char *message) const { return PrintFlags(*this, message); }
+
+    struct PrintHeader{
+        QhullFacet *    facet;  // non-const due to f->center()
+                        PrintHeader(QhullFacet &f) : facet(&f) {}
+    };//PrintHeader
+    PrintHeader         printHeader() { return PrintHeader(*this); }
+
+    struct PrintRidges{
+        const QhullFacet *facet;
+                        PrintRidges(QhullFacet &f) : facet(&f) {}
+    };//PrintRidges
+    PrintRidges         printRidges() { return PrintRidges(*this); }
+
+};//class QhullFacet
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacet::PrintFacet &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacet::PrintCenter &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacet::PrintFlags &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacet::PrintHeader &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacet::PrintRidges &pr);
+std::ostream &operator<<(std::ostream &os, orgQhull::QhullFacet &f); // non-const due to qh_getcenter()
+
+#endif // QHULLFACET_H

deps_src/qhull/src/libqhullcpp/QhullFacetList.cpp

@@ -0,0 +1,174 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullFacetList.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullFacetList -- Qhull's linked facets, as a C++ class
+
+#include "libqhullcpp/QhullFacetList.h"
+
+#include "libqhullcpp/QhullFacet.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullRidge.h"
+#include "libqhullcpp/QhullVertex.h"
+
+using std::string;
+using std::vector;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Constructors
+
+QhullFacetList::
+QhullFacetList(const Qhull &q, facetT *b, facetT *e ) 
+: QhullLinkedList<QhullFacet>(QhullFacet(q, b), QhullFacet(q, e))
+, select_all(false)
+{
+}
+
+#//!\name Conversions
+
+// See qt_qhull.cpp for QList conversions
+
+#ifndef QHULL_NO_STL
+std::vector<QhullFacet> QhullFacetList::
+toStdVector() const
+{
+    QhullLinkedListIterator<QhullFacet> i(*this);
+    std::vector<QhullFacet> vs;
+    while(i.hasNext()){
+        QhullFacet f= i.next();
+        if(isSelectAll() || f.isGood()){
+            vs.push_back(f);
+        }
+    }
+    return vs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+#ifndef QHULL_NO_STL
+//! Same as PrintVertices
+std::vector<QhullVertex> QhullFacetList::
+vertices_toStdVector() const
+{
+    std::vector<QhullVertex> vs;
+    QhullVertexSet qvs(qh(), first().getFacetT(), 0, isSelectAll());
+
+    for(QhullVertexSet::iterator i=qvs.begin(); i!=qvs.end(); ++i){
+        vs.push_back(*i);
+    }
+    return vs;
+}//vertices_toStdVector
+#endif //QHULL_NO_STL
+
+#//!\name GetSet
+
+bool QhullFacetList::
+contains(const QhullFacet &facet) const
+{
+    if(isSelectAll()){
+        return QhullLinkedList<QhullFacet>::contains(facet);
+    }
+    for(QhullFacetList::const_iterator i=begin(); i != end(); ++i){
+        QhullFacet f= *i;
+        if(f==facet && f.isGood()){
+            return true;
+        }
+    }
+    return false;
+}//contains
+
+int QhullFacetList::
+count() const
+{
+    if(isSelectAll()){
+        return QhullLinkedList<QhullFacet>::count();
+    }
+    int counter= 0;
+    for(QhullFacetList::const_iterator i=begin(); i != end(); ++i){
+        if((*i).isGood()){
+            counter++;
+        }
+    }
+    return counter;
+}//count
+
+int QhullFacetList::
+count(const QhullFacet &facet) const
+{
+    if(isSelectAll()){
+        return QhullLinkedList<QhullFacet>::count(facet);
+    }
+    int counter= 0;
+    for(QhullFacetList::const_iterator i=begin(); i != end(); ++i){
+        QhullFacet f= *i;
+        if(f==facet && f.isGood()){
+            counter++;
+        }
+    }
+    return counter;
+}//count
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+using orgQhull::QhullFacet;
+using orgQhull::QhullFacetList;
+using orgQhull::QhullVertex;
+using orgQhull::QhullVertexSet;
+
+ostream &
+operator<<(ostream &os, const QhullFacetList::PrintFacetList &pr)
+{
+    os << pr.print_message;
+    QhullFacetList fs= *pr.facet_list;
+    os << "Vertices for " << fs.count() << " facets" << endl;
+    os << fs.printVertices();
+    os << fs.printFacets();
+    return os;
+}//operator<<
+
+//! Print facet list to stream.  From qh_printafacet [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullFacetList::PrintFacets &pr)
+{
+    for(QhullFacetList::const_iterator i= pr.facet_list->begin(); i != pr.facet_list->end(); ++i){
+        QhullFacet f= *i;
+        if(pr.facet_list->isSelectAll() || f.isGood()){
+            os << f.print("");
+        }
+    }
+    return os;
+}//printFacets
+
+//! Print vertices of good faces in facet list to stream.  From qh_printvertexlist [io_r.c]
+//! Same as vertices_toStdVector
+ostream &
+operator<<(ostream &os, const QhullFacetList::PrintVertices &pr)
+{
+    QhullVertexSet vs(pr.facet_list->qh(), pr.facet_list->first().getFacetT(), NULL, pr.facet_list->isSelectAll());
+    for(QhullVertexSet::iterator i=vs.begin(); i!=vs.end(); ++i){
+        QhullVertex v= *i;
+        os << v.print("");
+    }
+    return os;
+}//printVertices
+
+std::ostream &
+operator<<(ostream &os, const QhullFacetList &fs)
+{
+    os << fs.printFacets();
+    return os;
+}//QhullFacetList
+

deps_src/qhull/src/libqhullcpp/QhullFacetList.h

@@ -0,0 +1,106 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullFacetList.h#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLFACETLIST_H
+#define QHULLFACETLIST_H
+
+#include "libqhullcpp/QhullLinkedList.h"
+#include "libqhullcpp/QhullFacet.h"
+
+#include <ostream>
+
+#ifndef QHULL_NO_STL
+#include <vector>
+#endif
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Qhull;
+    class QhullFacet;
+    class QhullQh;
+
+#//!\name Defined here
+    //! QhullFacetList -- List of QhullFacet/facetT, as a C++ class.  
+    //!\see QhullFacetSet.h
+    class QhullFacetList;
+    //! QhullFacetListIterator -- if(f.isGood()){ ... }
+    typedef QhullLinkedListIterator<QhullFacet> QhullFacetListIterator;
+
+class QhullFacetList : public QhullLinkedList<QhullFacet> {
+
+#//!\name  Fields
+private:
+    bool                select_all;   //! True if include bad facets.  Default is false.
+
+#//!\name Constructors
+public:
+                        QhullFacetList(const Qhull &q, facetT *b, facetT *e);
+                        QhullFacetList(QhullQh *qqh, facetT *b, facetT *e);
+                        QhullFacetList(QhullFacet b, QhullFacet e) : QhullLinkedList<QhullFacet>(b, e), select_all(false) {}
+                        //Copy constructor copies pointer but not contents.  Needed for return by value and parameter passing.
+                        QhullFacetList(const QhullFacetList &other) : QhullLinkedList<QhullFacet>(*other.begin(), *other.end()), select_all(other.select_all) {}
+    QhullFacetList &    operator=(const QhullFacetList &other) { QhullLinkedList<QhullFacet>::operator =(other); select_all= other.select_all; return *this; }
+                        ~QhullFacetList() {}
+
+private:                //!Disable default constructor.  See QhullLinkedList
+                    QhullFacetList();
+public:
+
+#//!\name Conversion
+#ifndef QHULL_NO_STL
+    std::vector<QhullFacet> toStdVector() const;
+    std::vector<QhullVertex> vertices_toStdVector() const;
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<QhullFacet>   toQList() const;
+    QList<QhullVertex>  vertices_toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+                        //! Filtered by facet.isGood().  May be 0 when !isEmpty().
+    countT              count() const;
+    bool                contains(const QhullFacet &f) const;
+    countT              count(const QhullFacet &f) const;
+    bool                isSelectAll() const { return select_all; }
+    QhullQh *           qh() const { return first().qh(); }
+    void                selectAll() { select_all= true; }
+    void                selectGood() { select_all= false; }
+                        //!< operator==() does not depend on isGood()
+
+#//!\name IO
+    struct PrintFacetList{
+        const QhullFacetList *facet_list;
+        const char *    print_message;   //!< non-null message
+                        PrintFacetList(const QhullFacetList &fl, const char *message) : facet_list(&fl), print_message(message) {}
+    };//PrintFacetList
+    PrintFacetList      print(const char *message) const  { return PrintFacetList(*this, message); }
+
+    struct PrintFacets{
+        const QhullFacetList *facet_list;
+                        PrintFacets(const QhullFacetList &fl) : facet_list(&fl) {}
+    };//PrintFacets
+    PrintFacets         printFacets() const { return PrintFacets(*this); }
+
+    struct PrintVertices{
+        const QhullFacetList *facet_list;
+                        PrintVertices(const QhullFacetList &fl) : facet_list(&fl) {}
+    };//PrintVertices
+    PrintVertices       printVertices() const { return PrintVertices(*this); }
+};//class QhullFacetList
+
+}//namespace orgQhull
+
+#//!\name == Global namespace =========================================
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetList::PrintFacetList &p);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetList::PrintFacets &p);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetList::PrintVertices &p);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetList &fs);
+
+#endif // QHULLFACETLIST_H

deps_src/qhull/src/libqhullcpp/QhullFacetSet.cpp

@@ -0,0 +1,147 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullFacetSet.cpp#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullFacetSet -- Qhull's linked facets, as a C++ class
+
+#include "libqhullcpp/QhullFacetSet.h"
+
+#include "libqhullcpp/QhullFacet.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullRidge.h"
+#include "libqhullcpp/QhullVertex.h"
+
+#ifndef QHULL_NO_STL
+using std::vector;
+#endif
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Conversions
+
+// See qt-qhull.cpp for QList conversions
+
+#ifndef QHULL_NO_STL
+std::vector<QhullFacet> QhullFacetSet::
+toStdVector() const
+{
+    QhullSetIterator<QhullFacet> i(*this);
+    std::vector<QhullFacet> vs;
+    while(i.hasNext()){
+        QhullFacet f= i.next();
+        if(isSelectAll() || f.isGood()){
+            vs.push_back(f);
+        }
+    }
+    return vs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+#//!\name GetSet
+
+bool QhullFacetSet::
+contains(const QhullFacet &facet) const
+{
+    if(isSelectAll()){
+        return QhullSet<QhullFacet>::contains(facet);
+    }
+    for(QhullFacetSet::const_iterator i=begin(); i != end(); ++i){
+        QhullFacet f= *i;
+        if(f==facet && f.isGood()){
+            return true;
+        }
+    }
+    return false;
+}//contains
+
+int QhullFacetSet::
+count() const
+{
+    if(isSelectAll()){
+        return QhullSet<QhullFacet>::count();
+    }
+    int counter= 0;
+    for(QhullFacetSet::const_iterator i=begin(); i != end(); ++i){
+        QhullFacet f= *i;
+        if(f.isGood()){
+            counter++;
+        }
+    }
+    return counter;
+}//count
+
+int QhullFacetSet::
+count(const QhullFacet &facet) const
+{
+    if(isSelectAll()){
+        return QhullSet<QhullFacet>::count(facet);
+    }
+    int counter= 0;
+    for(QhullFacetSet::const_iterator i=begin(); i != end(); ++i){
+        QhullFacet f= *i;
+        if(f==facet && f.isGood()){
+            counter++;
+        }
+    }
+    return counter;
+}//count
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+using orgQhull::QhullFacet;
+using orgQhull::QhullFacetSet;
+
+ostream &
+operator<<(ostream &os, const QhullFacetSet &fs)
+{
+    os << fs.print("");
+    return os;
+}//<<QhullFacetSet
+
+ostream &
+
+operator<<(ostream &os, const QhullFacetSet::PrintFacetSet &pr)
+{
+    os << pr.print_message;
+    QhullFacetSet fs= *pr.facet_set;
+    for(QhullFacetSet::iterator i=fs.begin(); i != fs.end(); ++i){
+        QhullFacet f= *i;
+        if(fs.isSelectAll() || f.isGood()){
+            os << f;
+        }
+    }
+    return os;
+}//<< QhullFacetSet::PrintFacetSet
+
+//! Print facet identifiers to stream.  Space prefix.  From qh_printfacetheader [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullFacetSet::PrintIdentifiers &p)
+{
+    os << p.print_message;
+    for(QhullFacetSet::const_iterator i=p.facet_set->begin(); i!=p.facet_set->end(); ++i){
+        const QhullFacet f= *i;
+        if(f.getFacetT()==qh_MERGEridge){
+            os << " MERGE";
+        }else if(f.getFacetT()==qh_DUPLICATEridge){
+            os << " DUP";
+        }else if(p.facet_set->isSelectAll() || f.isGood()){
+            os << " f" << f.id();
+        }
+    }
+    os << endl;
+    return os;
+}//<<QhullFacetSet::PrintIdentifiers
+

deps_src/qhull/src/libqhullcpp/QhullFacetSet.h

@@ -0,0 +1,97 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullFacetSet.h#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLFACETSET_H
+#define QHULLFACETSET_H
+
+#include "libqhullcpp/QhullSet.h"
+#include "libqhullcpp/QhullFacet.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Qhull;
+
+#//!\name Defined here
+    //! QhullFacetSet -- a set of Qhull facets, as a C++ class.  See QhullFacetList.h
+    class QhullFacetSet;
+    typedef QhullSetIterator<QhullFacet> QhullFacetSetIterator;
+
+class QhullFacetSet : public QhullSet<QhullFacet> {
+
+#//!\name Defined here
+public:
+    typedef facetT *   base_type;  // for QhullVertexSet
+
+private:
+#//!\name Fields
+    bool                select_all;   //! True if include bad facets.  Default is false.
+
+public:
+#//!\name Constructor
+                        //Conversion from setT* is not type-safe.  Implicit conversion for void* to T
+                        QhullFacetSet(const Qhull &q, setT *s) : QhullSet<QhullFacet>(q, s), select_all(false) {}
+                        QhullFacetSet(QhullQh *qqh, setT *s) : QhullSet<QhullFacet>(qqh, s), select_all(false) {}
+                        //!Copy constructor copies pointers but not contents.  Needed for return by value and parameter passing.
+                        QhullFacetSet(const QhullFacetSet &other) : QhullSet<QhullFacet>(other), select_all(other.select_all) {}
+                        //!Assignment copies pointers but not contents.
+    QhullFacetSet &     operator=(const QhullFacetSet &other) { QhullSet<QhullFacet>::operator=(other); select_all= other.select_all; return *this; }
+
+private:
+                        //!Disable default constructor.  See QhullSetBase
+                        QhullFacetSet();
+public:
+
+#//!\name Conversion
+#ifndef QHULL_NO_STL
+    std::vector<QhullFacet> toStdVector() const;
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<QhullFacet>   toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+                        //! Filtered by facet.isGood().  May be 0 when !isEmpty().
+    countT              count() const;
+    bool                contains(const QhullFacet &f) const;
+    countT              count(const QhullFacet &f) const;
+    bool                isSelectAll() const { return select_all; }
+                        //! operator==() does not depend on isGood()
+    void                selectAll() { select_all= true; }
+    void                selectGood() { select_all= false; }
+
+#//!\name IO
+    // Not same as QhullFacetList#IO.  A QhullFacetSet is a component of a QhullFacetList.
+
+    struct PrintFacetSet{
+        const QhullFacetSet *facet_set;
+        const char *    print_message;  //!< non-null message
+                        PrintFacetSet(const char *message, const QhullFacetSet *s) : facet_set(s), print_message(message) {}
+    };//PrintFacetSet
+    const PrintFacetSet print(const char *message) const { return PrintFacetSet(message, this); }
+
+    struct PrintIdentifiers{
+        const QhullFacetSet *facet_set;
+        const char *    print_message;  //!< non-null message
+                        PrintIdentifiers(const char *message, const QhullFacetSet *s) : facet_set(s), print_message(message) {}
+    };//PrintIdentifiers
+    PrintIdentifiers    printIdentifiers(const char *message) const { return PrintIdentifiers(message, this); }
+
+};//class QhullFacetSet
+
+}//namespace orgQhull
+
+#//!\name == Global namespace =========================================
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetSet &fs);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetSet::PrintFacetSet &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullFacetSet::PrintIdentifiers &p);
+
+#endif // QHULLFACETSET_H

deps_src/qhull/src/libqhullcpp/QhullHyperplane.cpp

@@ -0,0 +1,187 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullHyperplane.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/QhullHyperplane.h"
+
+#include "libqhullcpp/Qhull.h"
+#include "libqhullcpp/QhullPoint.h"
+
+#include <iostream>
+
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Constructors
+
+QhullHyperplane::
+QhullHyperplane(const Qhull &q) 
+: hyperplane_coordinates(0)
+, qh_qh(q.qh())
+, hyperplane_offset(0.0)
+, hyperplane_dimension(0)
+{
+}
+
+QhullHyperplane::
+QhullHyperplane(const Qhull &q, int hyperplaneDimension, coordT *c, coordT hyperplaneOffset) 
+: hyperplane_coordinates(c)
+, qh_qh(q.qh())
+, hyperplane_offset(hyperplaneOffset)
+, hyperplane_dimension(hyperplaneDimension)
+{
+}
+
+#//!\name Conversions
+
+// See qt-qhull.cpp for QList conversions
+
+#ifndef QHULL_NO_STL
+std::vector<coordT> QhullHyperplane::
+toStdVector() const
+{
+    QhullHyperplaneIterator i(*this);
+    std::vector<coordT> fs;
+    while(i.hasNext()){
+        fs.push_back(i.next());
+    }
+    fs.push_back(hyperplane_offset);
+    return fs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+#//!\name GetSet
+
+//! Return true if equal
+//! If qh_qh defined, tests qh.distanceEpsilon and qh.angleEpsilon
+//! otherwise, tests equal coordinates and offset
+bool QhullHyperplane::
+operator==(const QhullHyperplane &other) const
+{
+    if(hyperplane_dimension!=other.hyperplane_dimension || !hyperplane_coordinates || !other.hyperplane_coordinates){
+        return false;
+    }
+    double d= fabs(hyperplane_offset-other.hyperplane_offset);
+    if(d > (qh_qh ? qh_qh->distanceEpsilon() : 0.0)){
+        return false;
+    }
+    double angle= hyperplaneAngle(other);
+
+    double a= fabs(angle-1.0);
+    if(a > (qh_qh ? qh_qh->angleEpsilon() : 0.0)){
+        return false;
+    }
+    return true;
+}//operator==
+
+#//!\name Methods
+
+//! Return distance from point to hyperplane.
+//!   If greater than zero, the point is above the facet (i.e., outside).
+// qh_distplane [geom_r.c], QhullFacet::distance, and QhullHyperplane::distance are copies
+//    Does not support RANDOMdist or logging
+double QhullHyperplane::
+distance(const QhullPoint &p) const
+{
+    const coordT *point= p.coordinates();
+    int dim= p.dimension();
+    QHULL_ASSERT(dim==dimension());
+    const coordT *normal= coordinates();
+    double dist;
+
+    switch (dim){
+  case 2:
+      dist= offset() + point[0] * normal[0] + point[1] * normal[1];
+      break;
+  case 3:
+      dist= offset() + point[0] * normal[0] + point[1] * normal[1] + point[2] * normal[2];
+      break;
+  case 4:
+      dist= offset()+point[0]*normal[0]+point[1]*normal[1]+point[2]*normal[2]+point[3]*normal[3];
+      break;
+  case 5:
+      dist= offset()+point[0]*normal[0]+point[1]*normal[1]+point[2]*normal[2]+point[3]*normal[3]+point[4]*normal[4];
+      break;
+  case 6:
+      dist= offset()+point[0]*normal[0]+point[1]*normal[1]+point[2]*normal[2]+point[3]*normal[3]+point[4]*normal[4]+point[5]*normal[5];
+      break;
+  case 7:
+      dist= offset()+point[0]*normal[0]+point[1]*normal[1]+point[2]*normal[2]+point[3]*normal[3]+point[4]*normal[4]+point[5]*normal[5]+point[6]*normal[6];
+      break;
+  case 8:
+      dist= offset()+point[0]*normal[0]+point[1]*normal[1]+point[2]*normal[2]+point[3]*normal[3]+point[4]*normal[4]+point[5]*normal[5]+point[6]*normal[6]+point[7]*normal[7];
+      break;
+  default:
+      dist= offset();
+      for (int k=dim; k--; )
+          dist += *point++ * *normal++;
+      break;
+    }
+    return dist;
+}//distance
+
+double QhullHyperplane::
+hyperplaneAngle(const QhullHyperplane &other) const
+{
+    volatile realT result= 0.0;
+    QH_TRY_(qh_qh){ // no object creation -- destructors skipped on longjmp()
+        result= qh_getangle(qh_qh, hyperplane_coordinates, other.hyperplane_coordinates);
+    }
+    qh_qh->NOerrexit= true;
+    qh_qh->maybeThrowQhullMessage(QH_TRY_status);
+    return result;
+}//hyperplaneAngle
+
+double QhullHyperplane::
+norm() const {
+    double d= 0.0;
+    const coordT *c= coordinates();
+    for (int k=dimension(); k--; ){
+        d += *c * *c;
+        ++c;
+    }
+    return sqrt(d);
+}//norm
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::ostream;
+using orgQhull::QhullHyperplane;
+
+#//!\name GetSet<<
+
+ostream &
+operator<<(ostream &os, const QhullHyperplane &p)
+{
+    os << p.print("");
+    return os;
+}
+
+ostream &
+operator<<(ostream &os, const QhullHyperplane::PrintHyperplane &pr)
+{
+    os << pr.print_message;
+    QhullHyperplane p= *pr.hyperplane;
+    const realT *c= p.coordinates();
+    for(int k=p.dimension(); k--; ){
+        realT r= *c++;
+        if(pr.print_message){
+            os << " " << r; // FIXUP QH11010 %8.4g
+        }else{
+            os << " " << r; // FIXUP QH11010 qh_REAL_1
+        }
+    }
+    os << pr.hyperplane_offset_message << " " << p.offset();
+    os << std::endl;
+    return os;
+}//PrintHyperplane
+

deps_src/qhull/src/libqhullcpp/QhullHyperplane.h

@@ -0,0 +1,123 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullHyperplane.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHHYPERPLANE_H
+#define QHHYPERPLANE_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/QhullIterator.h"
+#include "libqhullcpp/QhullQh.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Qhull;
+    class QhullPoint;
+
+#//!\name Defined here
+    //! QhullHyperplane as an offset, dimension, and pointer to coordinates
+    class QhullHyperplane;
+    //! Java-style iterator for QhullHyperplane coordinates
+    class QhullHyperplaneIterator;
+
+class QhullHyperplane { // Similar to QhullPoint
+public:
+#//!\name Subtypes
+    typedef const coordT *                  iterator;
+    typedef const coordT *                  const_iterator;
+    typedef QhullHyperplane::iterator       Iterator;
+    typedef QhullHyperplane::const_iterator ConstIterator;
+
+private:
+#//!\name Fields
+    coordT *            hyperplane_coordinates;  //!< Normal to hyperplane.   facetT.normal is normalized to 1.0
+    QhullQh *           qh_qh;                  //!< qhT for distanceEpsilon() in operator==
+    coordT              hyperplane_offset;      //!< Distance from hyperplane to origin
+    int                 hyperplane_dimension;   //!< Dimension of hyperplane
+
+#//!\name Construct
+public:
+                        QhullHyperplane() : hyperplane_coordinates(0), qh_qh(0), hyperplane_offset(0.0), hyperplane_dimension(0) {}
+    explicit            QhullHyperplane(const Qhull &q);
+                        QhullHyperplane(const Qhull &q, int hyperplaneDimension, coordT *c, coordT hyperplaneOffset);
+    explicit            QhullHyperplane(QhullQh *qqh) : hyperplane_coordinates(0), qh_qh(qqh), hyperplane_offset(0.0), hyperplane_dimension(0) {}
+                        QhullHyperplane(QhullQh *qqh, int hyperplaneDimension, coordT *c, coordT hyperplaneOffset) : hyperplane_coordinates(c), qh_qh(qqh), hyperplane_offset(hyperplaneOffset), hyperplane_dimension(hyperplaneDimension) {}
+                        // Creates an alias.  Does not copy the hyperplane's coordinates.  Needed for return by value and parameter passing.
+                        QhullHyperplane(const QhullHyperplane &other)  : hyperplane_coordinates(other.hyperplane_coordinates), qh_qh(other.qh_qh), hyperplane_offset(other.hyperplane_offset), hyperplane_dimension(other.hyperplane_dimension) {}
+                        // Creates an alias.  Does not copy the hyperplane's coordinates.  Needed for vector<QhullHyperplane>
+    QhullHyperplane &   operator=(const QhullHyperplane &other) { hyperplane_coordinates= other.hyperplane_coordinates; qh_qh= other.qh_qh; hyperplane_offset= other.hyperplane_offset; hyperplane_dimension= other.hyperplane_dimension; return *this; }
+                        ~QhullHyperplane() {}
+
+#//!\name Conversions --
+//! Includes offset at end
+#ifndef QHULL_NO_STL
+    std::vector<coordT> toStdVector() const;
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<coordT>       toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+public:
+    const coordT *      coordinates() const { return hyperplane_coordinates; }
+    coordT *            coordinates() { return hyperplane_coordinates; }
+    void                defineAs(int hyperplaneDimension, coordT *c, coordT hyperplaneOffset) { QHULL_ASSERT(hyperplaneDimension>=0); hyperplane_coordinates= c; hyperplane_dimension= hyperplaneDimension; hyperplane_offset= hyperplaneOffset; }
+    //! Creates an alias to other using the same qh_qh
+    void                defineAs(QhullHyperplane &other) { hyperplane_coordinates= other.coordinates(); hyperplane_dimension= other.dimension();  hyperplane_offset= other.offset(); }
+    int                 dimension() const { return hyperplane_dimension; }
+    bool                isValid() const { return hyperplane_coordinates!=0 && hyperplane_dimension>0; }
+    coordT              offset() const { return hyperplane_offset; }
+    bool                operator==(const QhullHyperplane &other) const;
+    bool                operator!=(const QhullHyperplane &other) const { return !operator==(other); }
+    const coordT &      operator[](int idx) const { QHULL_ASSERT(idx>=0 && idx<hyperplane_dimension); return *(hyperplane_coordinates+idx); }
+    coordT &            operator[](int idx) { QHULL_ASSERT(idx>=0 && idx<hyperplane_dimension); return *(hyperplane_coordinates+idx); }
+    void                setCoordinates(coordT *c) { hyperplane_coordinates= c; }
+    void                setDimension(int hyperplaneDimension) { hyperplane_dimension= hyperplaneDimension; }
+    void                setOffset(coordT hyperplaneOffset) { hyperplane_offset= hyperplaneOffset; }
+
+#//!\name iterator
+    iterator            begin() { return hyperplane_coordinates; }
+    const_iterator      begin() const { return hyperplane_coordinates; }
+    const_iterator      constBegin() const { return hyperplane_coordinates; }
+    const_iterator      constEnd() const { return hyperplane_coordinates+hyperplane_dimension; }
+    int                 count() { return hyperplane_dimension; }
+    iterator            end() { return hyperplane_coordinates+hyperplane_dimension; }
+    const_iterator      end() const { return hyperplane_coordinates+hyperplane_dimension; }
+    size_t              size() { return (size_t)hyperplane_dimension; }
+
+#//!\name Methods
+    double              distance(const QhullPoint &p) const;
+    double              hyperplaneAngle(const QhullHyperplane &other) const;
+    double              norm() const;
+
+#//!\name IO
+    struct PrintHyperplane{
+        const QhullHyperplane  *hyperplane;
+        const char *    print_message;      //!< non-null message
+        const char *    hyperplane_offset_message;  //!< non-null message
+                        PrintHyperplane(const char *message, const char *offsetMessage, const QhullHyperplane &p) : hyperplane(&p), print_message(message), hyperplane_offset_message(offsetMessage) {}
+    };//PrintHyperplane
+    PrintHyperplane          print(const char *message) const { return PrintHyperplane(message, "", *this); }
+    PrintHyperplane          print(const char *message, const char *offsetMessage) const { return PrintHyperplane(message, offsetMessage, *this); }
+
+};//QhullHyperplane
+
+QHULL_DECLARE_SEQUENTIAL_ITERATOR(QhullHyperplane, coordT)
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullHyperplane::PrintHyperplane &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullHyperplane &p);
+
+#endif // QHHYPERPLANE_H
+

deps_src/qhull/src/libqhullcpp/QhullIterator.h

@@ -0,0 +1,173 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullIterator.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLITERATOR_H
+#define QHULLITERATOR_H
+
+#include "libqhull_r/qhull_ra.h"
+
+#include <assert.h>
+#include <iterator>
+#include <string>
+#include <vector>
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! Only QHULL_DECLARE_SEQUENTIAL_ITERATOR is used in libqhullcpp.  The others need further development
+    //! QHULL_DECLARE_SEQUENTIAL_ITERATOR(C) -- Declare a Java-style iterator
+    //! QHULL_DECLARE_MUTABLE_SEQUENTIAL_ITERATOR(C) -- Declare a mutable Java-style iterator
+    //! QHULL_DECLARE_SET_ITERATOR(C) -- Declare a set iterator
+    //! QHULL_DECLARE_MUTABLE_SET_ITERATOR(C) -- Declare a mutable set iterator
+    //! Derived from Qt/core/tools/qiterator.h and qset_r.h/FOREACHsetelement_()
+
+// Stores C* as done in Mutable...  Assumes the container is not deleted.
+// C::const_iterator is an STL-style iterator that returns T&
+#define QHULL_DECLARE_SEQUENTIAL_ITERATOR(C, T) \
+    \
+    class C##Iterator \
+    { \
+        typedef C::const_iterator const_iterator; \
+        const C *c; \
+        const_iterator i; \
+        public: \
+        inline C##Iterator(const C &container) \
+        : c(&container), i(c->constBegin()) {} \
+        inline C##Iterator &operator=(const C &container) \
+        { c = &container; i = c->constBegin(); return *this; } \
+        inline void toFront() { i = c->constBegin(); } \
+        inline void toBack() { i = c->constEnd(); } \
+        inline bool hasNext() const { return i != c->constEnd(); } \
+        inline const T &next() { return *i++; } \
+        inline const T &peekNext() const { return *i; } \
+        inline bool hasPrevious() const { return i != c->constBegin(); } \
+        inline const T &previous() { return *--i; } \
+        inline const T &peekPrevious() const { const_iterator p = i; return *--p; } \
+        inline bool findNext(const T &t) \
+        { while (i != c->constEnd()) if (*i++ == t) return true; return false; } \
+        inline bool findPrevious(const T &t) \
+        { while (i != c->constBegin()) if (*(--i) == t) return true; \
+        return false;  } \
+    };//C##Iterator
+
+// Remove setShareable() from Q_DECLARE_MUTABLE_SEQUENTIAL_ITERATOR
+// Uses QHULL_ASSERT (assert.h)
+// Duplicated in MutablePointIterator without insert or remove
+// Not used in libqhullcpp.  See Coordinates.h
+#define QHULL_DECLARE_MUTABLE_SEQUENTIAL_ITERATOR(C, T) \
+    class Mutable##C##Iterator \
+    { \
+        typedef C::iterator iterator; \
+        typedef C::const_iterator const_iterator; \
+        C *c; \
+        iterator i, n; \
+        inline bool item_exists() const { return const_iterator(n) != c->constEnd(); } \
+        public: \
+        inline Mutable##C##Iterator(C &container) \
+        : c(&container) \
+        { i = c->begin(); n = c->end(); } \
+        inline ~Mutable##C##Iterator() \
+        {} \
+        inline Mutable##C##Iterator &operator=(C &container) \
+        { c = &container; \
+        i = c->begin(); n = c->end(); return *this; } \
+        inline void toFront() { i = c->begin(); n = c->end(); } \
+        inline void toBack() { i = c->end(); n = i; } \
+        inline bool hasNext() const { return c->constEnd() != const_iterator(i); } \
+        inline T &next() { n = i++; return *n; } \
+        inline T &peekNext() const { return *i; } \
+        inline bool hasPrevious() const { return c->constBegin() != const_iterator(i); } \
+        inline T &previous() { n = --i; return *n; } \
+        inline T &peekPrevious() const { iterator p = i; return *--p; } \
+        inline void remove() \
+        { if (c->constEnd() != const_iterator(n)) { i = c->erase(n); n = c->end(); } } \
+        inline void setValue(const T &t) const { if (c->constEnd() != const_iterator(n)) *n = t; } \
+        inline T &value() { QHULL_ASSERT(item_exists()); return *n; } \
+        inline const T &value() const { QHULL_ASSERT(item_exists()); return *n; } \
+        inline void insert(const T &t) { n = i = c->insert(i, t); ++i; } \
+        inline bool findNext(const T &t) \
+        { while (c->constEnd() != const_iterator(n = i)) if (*i++ == t) return true; return false; } \
+        inline bool findPrevious(const T &t) \
+        { while (c->constBegin() != const_iterator(i)) if (*(n = --i) == t) return true; \
+        n = c->end(); return false;  } \
+    };//Mutable##C##Iterator
+
+// Not used in libqhullcpp.
+#define QHULL_DECLARE_SET_ITERATOR(C) \
+\
+    template <class T> \
+    class Qhull##C##Iterator \
+    { \
+        typedef typename Qhull##C<T>::const_iterator const_iterator; \
+        Qhull##C<T> c; \
+        const_iterator i; \
+    public: \
+        inline Qhull##C##Iterator(const Qhull##C<T> &container) \
+        : c(container), i(c.constBegin()) {} \
+        inline Qhull##C##Iterator &operator=(const Qhull##C<T> &container) \
+        { c = container; i = c.constBegin(); return *this; } \
+        inline void toFront() { i = c.constBegin(); } \
+        inline void toBack() { i = c.constEnd(); } \
+        inline bool hasNext() const { return i != c.constEnd(); } \
+        inline const T &next() { return *i++; } \
+        inline const T &peekNext() const { return *i; } \
+        inline bool hasPrevious() const { return i != c.constBegin(); } \
+        inline const T &previous() { return *--i; } \
+        inline const T &peekPrevious() const { const_iterator p = i; return *--p; } \
+        inline bool findNext(const T &t) \
+        { while (i != c.constEnd()) if (*i++ == t) return true; return false; } \
+        inline bool findPrevious(const T &t) \
+        { while (i != c.constBegin()) if (*(--i) == t) return true; \
+        return false;  } \
+    };//Qhull##C##Iterator
+
+// Not used in libqhullcpp.
+#define QHULL_DECLARE_MUTABLE_SET_ITERATOR(C) \
+\
+template <class T> \
+class QhullMutable##C##Iterator \
+{ \
+    typedef typename Qhull##C::iterator iterator; \
+    typedef typename Qhull##C::const_iterator const_iterator; \
+    Qhull##C *c; \
+    iterator i, n; \
+    inline bool item_exists() const { return const_iterator(n) != c->constEnd(); } \
+public: \
+    inline Mutable##C##Iterator(Qhull##C &container) \
+        : c(&container) \
+    { c->setSharable(false); i = c->begin(); n = c->end(); } \
+    inline ~Mutable##C##Iterator() \
+    { c->setSharable(true); } \
+    inline Mutable##C##Iterator &operator=(Qhull##C &container) \
+    { c->setSharable(true); c = &container; c->setSharable(false); \
+      i = c->begin(); n = c->end(); return *this; } \
+    inline void toFront() { i = c->begin(); n = c->end(); } \
+    inline void toBack() { i = c->end(); n = i; } \
+    inline bool hasNext() const { return c->constEnd() != const_iterator(i); } \
+    inline T &next() { n = i++; return *n; } \
+    inline T &peekNext() const { return *i; } \
+    inline bool hasPrevious() const { return c->constBegin() != const_iterator(i); } \
+    inline T &previous() { n = --i; return *n; } \
+    inline T &peekPrevious() const { iterator p = i; return *--p; } \
+    inline void remove() \
+    { if (c->constEnd() != const_iterator(n)) { i = c->erase(n); n = c->end(); } } \
+    inline void setValue(const T &t) const { if (c->constEnd() != const_iterator(n)) *n = t; } \
+    inline T &value() { Q_ASSERT(item_exists()); return *n; } \
+    inline const T &value() const { Q_ASSERT(item_exists()); return *n; } \
+    inline void insert(const T &t) { n = i = c->insert(i, t); ++i; } \
+    inline bool findNext(const T &t) \
+    { while (c->constEnd() != const_iterator(n = i)) if (*i++ == t) return true; return false; } \
+    inline bool findPrevious(const T &t) \
+    { while (c->constBegin() != const_iterator(i)) if (*(n = --i) == t) return true; \
+      n = c->end(); return false;  } \
+};//QhullMutable##C##Iterator
+
+}//namespace orgQhull
+
+#endif // QHULLITERATOR_H
+

deps_src/qhull/src/libqhullcpp/QhullLinkedList.h

@@ -0,0 +1,388 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullLinkedList.h#7 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLLINKEDLIST_H
+#define QHULLLINKEDLIST_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullError.h"
+
+#include <cstddef>  // ptrdiff_t, size_t
+
+#ifdef QHULL_USES_QT
+#include <QtCore/QList>
+#endif
+
+#ifndef QHULL_NO_STL
+#include <algorithm>
+#include <iterator>
+#include <vector>
+#endif
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! QhullLinkedList<T> -- A linked list modeled on QLinkedList.
+    //!   T is an opaque type with T(B *b), b=t.getBaseT(), t=t.next(), and t=t.prev().  The end node is a sentinel.
+    //!   QhullQh/qhT owns the contents.
+    //!   QhullLinkedList does not define erase(), clear(), removeFirst(), removeLast(), pop_back(), pop_front(), fromStdList()
+    //!   Derived from Qt/core/tools/qlinkedlist.h and libqhull_r.h/FORALLfacets_()
+    //! QhullLinkedList<T>::const_iterator -- STL-style iterator
+    //! QhullLinkedList<T>::iterator -- STL-style iterator
+    //! QhullLinkedListIterator<T> -- Java-style iterator
+    //!   Derived from Qt/core/tools/qiterator.h
+    //!   Works with Qt's foreach keyword [Qt/src/corelib/global/qglobal.h]
+
+template <typename T>
+class QhullLinkedList
+{
+#//!\name Defined here
+public:
+    class const_iterator;
+    class iterator;
+    typedef const_iterator  ConstIterator;
+    typedef iterator    Iterator;
+    typedef ptrdiff_t   difference_type;
+    typedef countT      size_type;
+    typedef T           value_type;
+    typedef const value_type *const_pointer;
+    typedef const value_type &const_reference;
+    typedef value_type *pointer;
+    typedef value_type &reference;
+
+#//!\name Fields
+private:
+    T                   begin_node;
+    T                   end_node;     //! Sentinel node at end of list
+
+#//!\name Constructors
+public:
+                        QhullLinkedList<T>(T b, T e) : begin_node(b), end_node(e) {}
+                        //! Copy constructor copies begin_node and end_node, but not the list elements.  Needed for return by value and parameter passing.
+                        QhullLinkedList<T>(const QhullLinkedList<T> &other) : begin_node(other.begin_node), end_node(other.end_node) {}
+                        //! Copy assignment copies begin_node and end_node, but not the list elements.
+                        QhullLinkedList<T> & operator=(const QhullLinkedList<T> &other) { begin_node= other.begin_node; end_node= other.end_node; return *this; }
+                        ~QhullLinkedList<T>() {}
+
+private:
+                        //!disabled since a sentinel must be allocated as the private type
+                        QhullLinkedList<T>() {}
+
+public:
+
+#//!\name Conversions
+#ifndef QHULL_NO_STL
+    std::vector<T>      toStdVector() const;
+#endif
+#ifdef QHULL_USES_QT
+    QList<T>            toQList() const;
+#endif
+
+#//!\name GetSet
+    countT              count() const;
+                        //count(t) under #//!\name Search
+    bool                isEmpty() const { return (begin_node==end_node); }
+    bool                operator==(const QhullLinkedList<T> &o) const;
+    bool                operator!=(const QhullLinkedList<T> &o) const { return !operator==(o); }
+    size_t              size() const { return count(); }
+
+#//!\name Element access
+    //! For back() and last(), return T instead of T& (T is computed)
+    const T             back() const { return last(); }
+    T                   back() { return last(); }
+    const T &           first() const { QHULL_ASSERT(!isEmpty()); return begin_node; }
+    T &                 first() { QHULL_ASSERT(!isEmpty()); return begin_node; }
+    const T &           front() const { return first(); }
+    T &                 front() { return first(); }
+    const T             last() const { QHULL_ASSERT(!isEmpty()); return *--end(); }
+    T                   last() { QHULL_ASSERT(!isEmpty()); return *--end(); }
+
+#//!\name Modify -- Allocation of opaque types not implemented.
+
+#//!\name Search
+    bool                contains(const T &t) const;
+    countT              count(const T &t) const;
+
+#//!\name Iterator
+    iterator            begin() { return begin_node; }
+    const_iterator      begin() const { return begin_node; }
+    const_iterator      constBegin() const { return begin_node; }
+    const_iterator      constEnd() const { return end_node; }
+    iterator            end() { return end_node; }
+    const_iterator      end() const { return end_node; }
+
+    class iterator {
+
+    private:
+        T               i;
+        friend class const_iterator;
+
+    public:
+        typedef std::bidirectional_iterator_tag  iterator_category;
+        typedef T           value_type;
+        typedef value_type *pointer;
+        typedef value_type &reference;
+        typedef ptrdiff_t   difference_type;
+
+                        iterator() : i() {}
+                        iterator(const T &t) : i(t) {}  //!< Automatic conversion to iterator
+                        iterator(const iterator &o) : i(o.i) {}
+        iterator &      operator=(const iterator &o) { i= o.i; return *this; }
+
+        const T &       operator*() const { return i; }
+        T &             operator*() { return i; }
+        // Do not define operator[]
+        const T *       operator->() const { return &i; }
+        T *             operator->() { return &i; }
+        bool            operator==(const iterator &o) const { return i == o.i; }
+        bool            operator!=(const iterator &o) const { return !operator==(o); }
+        bool            operator==(const const_iterator &o) const { return i==reinterpret_cast<const iterator &>(o).i; }
+        bool            operator!=(const const_iterator &o) const { return !operator==(o); }
+        iterator &      operator++() { i= i.next(); return *this; }
+        iterator        operator++(int) { iterator o= i; i= i.next(); return o; }
+        iterator &      operator--() { i= i.previous(); return *this; }
+        iterator        operator--(int) { iterator o= i; i= i.previous(); return o; }
+        iterator        operator+(int j) const;
+        iterator        operator-(int j) const { return operator+(-j); }
+        iterator &      operator+=(int j) { return (*this= *this + j); }
+        iterator &      operator-=(int j) { return (*this= *this - j); }
+    };//QhullLinkedList::iterator
+
+    class const_iterator {
+
+    private:
+        T               i;
+
+    public:
+        typedef std::bidirectional_iterator_tag  iterator_category;
+        typedef T                 value_type;
+        typedef const value_type *pointer;
+        typedef const value_type &reference;
+        typedef ptrdiff_t         difference_type;
+
+                        const_iterator() : i() {}
+                        const_iterator(const T &t) : i(t) {}  //!< Automatic conversion to const_iterator
+                        const_iterator(const iterator &o) : i(o.i) {}
+                        const_iterator(const const_iterator &o) : i(o.i) {}
+        const_iterator &operator=(const const_iterator &o) { i= o.i; return *this; }
+
+        const T &       operator*() const { return i; }
+        const T *       operator->() const { return i; }
+        bool            operator==(const const_iterator &o) const { return i == o.i; }
+        bool            operator!=(const const_iterator &o) const { return !operator==(o); }
+                        // No comparisons or iterator diff
+        const_iterator &operator++() { i= i.next(); return *this; }
+        const_iterator  operator++(int) { const_iterator o= i; i= i.next(); return o; }
+        const_iterator &operator--() { i= i.previous(); return *this; }
+        const_iterator  operator--(int) { const_iterator o= i; i= i.previous(); return o; }
+        const_iterator  operator+(int j) const;
+        const_iterator  operator-(int j) const { return operator+(-j); }
+        const_iterator &operator+=(int j) { return (*this= *this + j); }
+        const_iterator &operator-=(int j) { return (*this= *this - j); }
+    };//QhullLinkedList::const_iterator
+
+};//QhullLinkedList
+
+template <typename T>
+class QhullLinkedListIterator // FIXUP QH11016 define QhullMutableLinkedListIterator
+{
+    typedef typename QhullLinkedList<T>::const_iterator const_iterator;
+    const QhullLinkedList<T> *c;
+    const_iterator      i;
+
+public:
+                        QhullLinkedListIterator(const QhullLinkedList<T> &container) : c(&container), i(c->constBegin()) {}
+    QhullLinkedListIterator & operator=(const QhullLinkedList<T> &container) { c= &container; i= c->constBegin(); return *this; }
+    bool                findNext(const T &t);
+    bool                findPrevious(const T &t);
+    bool                hasNext() const { return i != c->constEnd(); }
+    bool                hasPrevious() const { return i != c->constBegin(); }
+    T                   next() { return *i++; }
+    T                   peekNext() const { return *i; }
+    T                   peekPrevious() const { const_iterator p= i; return *--p; }
+    T                   previous() { return *--i; }
+    void                toFront() { i= c->constBegin(); }
+    void                toBack() { i= c->constEnd(); }
+};//QhullLinkedListIterator
+
+#//!\name == Definitions =========================================
+
+#//!\name Conversion
+
+#ifndef QHULL_NO_STL
+template <typename T>
+std::vector<T> QhullLinkedList<T>::
+toStdVector() const
+{
+    std::vector<T> tmp;
+    std::copy(constBegin(), constEnd(), std::back_inserter(tmp));
+    return tmp;
+}//toStdVector
+#endif
+
+#ifdef QHULL_USES_QT
+template <typename T>
+QList<T>  QhullLinkedList<T>::
+toQList() const
+{
+    QhullLinkedListIterator<T> i(*this);
+    QList<T> ls;
+    while(i.hasNext()){
+        ls.append(i.next());
+    }
+    return ls;
+}//toQList
+#endif
+
+#//!\name GetSet
+
+template <typename T>
+countT QhullLinkedList<T>::
+count() const
+{
+    const_iterator i= begin_node;
+    countT c= 0;
+    while(i != end_node){
+        c++;
+        i++;
+    }
+    return c;
+}//count
+
+#//!\name Search
+
+template <typename T>
+bool QhullLinkedList<T>::
+contains(const T &t) const
+{
+    const_iterator i= begin_node;
+    while(i != end_node){
+        if(i==t){
+            return true;
+        }
+        i++;
+    }
+    return false;
+}//contains
+
+template <typename T>
+countT QhullLinkedList<T>::
+count(const T &t) const
+{
+    const_iterator i= begin_node;
+    countT c= 0;
+    while(i != end_node){
+        if(i==t){
+            c++;
+        }
+        i++;
+    }
+    return c;
+}//count
+
+template <typename T>
+bool QhullLinkedList<T>::
+operator==(const QhullLinkedList<T> &l) const
+{
+    if(begin_node==l.begin_node){
+        return (end_node==l.end_node);
+    }
+    T i= begin_node;
+    T il= l.begin_node;
+    while(i != end_node){
+        if(i != il){
+            return false;
+        }
+        i= static_cast<T>(i.next());
+        il= static_cast<T>(il.next());
+    }
+    if(il != l.end_node){
+        return false;
+    }
+    return true;
+}//operator==
+
+#//!\name Iterator
+
+template <typename T>
+typename QhullLinkedList<T>::iterator  QhullLinkedList<T>::iterator::
+operator+(int j) const
+{
+    T n= i;
+    if(j>0){
+        while(j--){
+            n= n.next();
+        }
+    }else{
+        while(j++){
+            n= n.previous();
+        }
+    }
+    return iterator(n);
+}//operator+
+
+template <typename T>
+typename QhullLinkedList<T>::const_iterator  QhullLinkedList<T>::const_iterator::
+operator+(int j) const
+{
+    T n= i;
+    if(j>0){
+        while(j--){
+            n= n.next();
+        }
+    }else{
+        while(j++){
+            n= n.previous();
+        }
+    }
+    return const_iterator(n);
+}//operator+
+
+#//!\name QhullLinkedListIterator
+
+template <typename T>
+bool QhullLinkedListIterator<T>::
+findNext(const T &t)
+{
+    while(i != c->constEnd()){
+        if (*i++ == t){
+            return true;
+        }
+    }
+    return false;
+}//findNext
+
+template <typename T>
+bool QhullLinkedListIterator<T>::
+findPrevious(const T &t)
+{
+    while(i!=c->constBegin()){
+        if(*(--i)==t){
+            return true;
+        }
+    }
+    return false;
+}//findNext
+
+}//namespace orgQhull
+
+#//!\name Global
+
+template <typename T>
+std::ostream &
+operator<<(std::ostream &os, const orgQhull::QhullLinkedList<T> &qs)
+{
+    typename orgQhull::QhullLinkedList<T>::const_iterator i;
+    for(i= qs.begin(); i != qs.end(); ++i){
+        os << *i;
+    }
+    return os;
+}//operator<<
+
+#endif // QHULLLINKEDLIST_H
+

deps_src/qhull/src/libqhullcpp/QhullPoint.cpp

@@ -0,0 +1,203 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullPoint.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/QhullPoint.h"
+
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/Qhull.h"
+
+#include <iostream>
+#include <algorithm>
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Constructors
+
+
+QhullPoint::
+QhullPoint(const Qhull &q) 
+: point_coordinates(0)
+, qh_qh(q.qh())
+, point_dimension(q.hullDimension())
+{
+}//QhullPoint
+
+QhullPoint::
+QhullPoint(const Qhull &q, coordT *c) 
+: point_coordinates(c)
+, qh_qh(q.qh())
+, point_dimension(q.hullDimension())
+{
+    QHULL_ASSERT(q.hullDimension()>0);
+}//QhullPoint dim, coordT
+
+QhullPoint::
+QhullPoint(const Qhull &q, int pointDimension, coordT *c) 
+: point_coordinates(c)
+, qh_qh(q.qh())
+, point_dimension(pointDimension)
+{
+}//QhullPoint dim, coordT
+
+//! QhullPoint of Coordinates with point_dimension==c.count()
+QhullPoint::
+QhullPoint(const Qhull &q, Coordinates &c) 
+: point_coordinates(c.data())
+, qh_qh(q.qh())
+, point_dimension(c.count())
+{
+}//QhullPoint Coordinates
+
+#//!\name Conversions
+
+// See qt-qhull.cpp for QList conversion
+
+#ifndef QHULL_NO_STL
+std::vector<coordT> QhullPoint::
+toStdVector() const
+{
+    QhullPointIterator i(*this);
+    std::vector<coordT> vs;
+    while(i.hasNext()){
+        vs.push_back(i.next());
+    }
+    return vs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+#//!\name GetSet
+
+//! QhullPoint is equal if it has the same address and dimension
+//! If !qh_qh, returns true if dimension and coordinates are equal
+//! If qh_qh, returns true if the distance between points is less than qh_qh->distanceEpsilon()
+//!\todo Compares distance with distance-to-hyperplane (distanceEpsilon).   Is that correct?
+bool QhullPoint::
+operator==(const QhullPoint &other) const
+{
+    if(point_dimension!=other.point_dimension){
+        return false;
+    }
+    const coordT *c= point_coordinates;
+    const coordT *c2= other.point_coordinates;
+    if(c==c2){
+        return true;
+    }
+    if(!c || !c2){
+        return false;
+    }
+    if(!qh_qh || qh_qh->hull_dim==0){
+        for(int k= point_dimension; k--; ){
+            if(*c++ != *c2++){
+                return false;
+            }
+        }
+        return true;
+    }
+    double dist2= 0.0;
+    for(int k= point_dimension; k--; ){
+        double diff= *c++ - *c2++;
+        dist2 += diff*diff;
+    }
+    dist2= sqrt(dist2);
+    return (dist2 < qh_qh->distanceEpsilon());
+}//operator==
+
+#//!\name Methods
+
+//! Return distance between two points.
+double QhullPoint::
+distance(const QhullPoint &p) const
+{
+    const coordT *c= point_coordinates;
+    const coordT *c2= p.point_coordinates;
+    int dim= point_dimension;
+    if(dim!=p.point_dimension){
+        throw QhullError(10075, "QhullPoint error: Expecting dimension %d for distance().  Got %d", dim, p.point_dimension);
+    }
+    if(!c || !c2){
+        throw QhullError(10076, "QhullPoint error: Cannot compute distance() for undefined point");
+    }
+    double dist;
+
+    switch(dim){
+  case 2:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]);
+      break;
+  case 3:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]) + (c[2]-c2[2])*(c[2]-c2[2]);
+      break;
+  case 4:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]) + (c[2]-c2[2])*(c[2]-c2[2]) + (c[3]-c2[3])*(c[3]-c2[3]);
+      break;
+  case 5:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]) + (c[2]-c2[2])*(c[2]-c2[2]) + (c[3]-c2[3])*(c[3]-c2[3]) + (c[4]-c2[4])*(c[4]-c2[4]);
+      break;
+  case 6:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]) + (c[2]-c2[2])*(c[2]-c2[2]) + (c[3]-c2[3])*(c[3]-c2[3]) + (c[4]-c2[4])*(c[4]-c2[4]) + (c[5]-c2[5])*(c[5]-c2[5]);
+      break;
+  case 7:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]) + (c[2]-c2[2])*(c[2]-c2[2]) + (c[3]-c2[3])*(c[3]-c2[3]) + (c[4]-c2[4])*(c[4]-c2[4]) + (c[5]-c2[5])*(c[5]-c2[5]) + (c[6]-c2[6])*(c[6]-c2[6]);
+      break;
+  case 8:
+      dist= (c[0]-c2[0])*(c[0]-c2[0]) + (c[1]-c2[1])*(c[1]-c2[1]) + (c[2]-c2[2])*(c[2]-c2[2]) + (c[3]-c2[3])*(c[3]-c2[3]) + (c[4]-c2[4])*(c[4]-c2[4]) + (c[5]-c2[5])*(c[5]-c2[5]) + (c[6]-c2[6])*(c[6]-c2[6]) + (c[7]-c2[7])*(c[7]-c2[7]);
+      break;
+  default:
+      dist= 0.0;
+      for(int k=dim; k--; ){
+          dist += (*c - *c2) * (*c - *c2);
+          ++c;
+          ++c2;
+      }
+      break;
+    }
+    return sqrt(dist);
+}//distance
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::ostream;
+using orgQhull::QhullPoint;
+
+//! Same as qh_printpointid [io.c]
+ostream &
+operator<<(ostream &os, const QhullPoint::PrintPoint &pr)
+{
+    QhullPoint p= *pr.point; 
+    countT i= p.id();
+    if(pr.point_message){
+        if(*pr.point_message){
+            os << pr.point_message << " ";
+        }
+        if(pr.with_identifier && (i!=qh_IDunknown) && (i!=qh_IDnone)){
+            os << "p" << i << ": ";
+        }
+    }
+    const realT *c= p.coordinates();
+    for(int k=p.dimension(); k--; ){
+        realT r= *c++;
+        if(pr.point_message){
+            os << " " << r; // FIXUP QH11010 %8.4g
+        }else{
+            os << " " << r; // FIXUP QH11010 qh_REAL_1
+        }
+    }
+    os << std::endl;
+    return os;
+}//printPoint
+
+ostream & 
+operator<<(ostream &os, const QhullPoint &p)
+{
+    os << p.print(""); 
+    return os;
+}//operator<<

deps_src/qhull/src/libqhullcpp/QhullPoint.h

@@ -0,0 +1,136 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullPoint.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHPOINT_H
+#define QHPOINT_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/QhullIterator.h"
+#include "libqhullcpp/QhullQh.h"
+#include "libqhullcpp/Coordinates.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Defined here
+    class QhullPoint;  //!<  QhullPoint as a pointer and dimension to shared memory
+    class QhullPointIterator; //!< Java-style iterator for QhullPoint coordinates
+
+#//!\name Used here
+    class Qhull;
+
+//! A QhullPoint is a dimension and an array of coordinates.
+//! With Qhull/QhullQh, a QhullPoint has an identifier.  Point equality is relative to qh.distanceEpsilon
+class QhullPoint {
+
+#//!\name Iterators
+public:
+    typedef coordT *                    base_type;  // for QhullPointSet
+    typedef const coordT *              iterator;
+    typedef const coordT *              const_iterator;
+    typedef QhullPoint::iterator        Iterator;
+    typedef QhullPoint::const_iterator  ConstIterator;
+
+#//!\name Fields
+protected: // For QhullPoints::iterator, QhullPoints::const_iterator
+    coordT *            point_coordinates;  //!< Pointer to first coordinate,   0 if undefined
+    QhullQh *           qh_qh;              //!< qhT for this instance of Qhull.  0 if undefined.
+                                            //!< operator==() returns true if points within sqrt(qh_qh->distanceEpsilon())
+                                            //!< If !qh_qh, id() is -3, and operator==() requires equal coordinates
+    int                 point_dimension;    //!< Default dimension is qh_qh->hull_dim
+public:
+
+#//!\name Constructors
+    //! QhullPoint, PointCoordinates, and QhullPoints have similar constructors
+    //! If Qhull/QhullQh is not initialized, then QhullPoint.dimension() is zero unless explicitly set
+    //! Cannot define QhullPoints(int pointDimension) since it is ambiguous with QhullPoints(QhullQh *qqh)
+                        QhullPoint() : point_coordinates(0), qh_qh(0), point_dimension(0) {}
+                        QhullPoint(int pointDimension, coordT *c) : point_coordinates(c), qh_qh(0), point_dimension(pointDimension) { QHULL_ASSERT(pointDimension>0); }
+    explicit            QhullPoint(const Qhull &q);
+                        QhullPoint(const Qhull &q, coordT *c);
+                        QhullPoint(const Qhull &q, Coordinates &c);
+                        QhullPoint(const Qhull &q, int pointDimension, coordT *c);
+    explicit            QhullPoint(QhullQh *qqh) : point_coordinates(0), qh_qh(qqh), point_dimension(qqh->hull_dim) {}
+                        QhullPoint(QhullQh *qqh, coordT *c) : point_coordinates(c), qh_qh(qqh), point_dimension(qqh->hull_dim) { QHULL_ASSERT(qqh->hull_dim>0); }
+                        QhullPoint(QhullQh *qqh, Coordinates &c) : point_coordinates(c.data()), qh_qh(qqh), point_dimension(c.count()) {}
+                        QhullPoint(QhullQh *qqh, int pointDimension, coordT *c) : point_coordinates(c), qh_qh(qqh), point_dimension(pointDimension) {}
+                        //! Creates an alias.  Does not make a deep copy of the point.  Needed for return by value and parameter passing.
+                        QhullPoint(const QhullPoint &other) : point_coordinates(other.point_coordinates), qh_qh(other.qh_qh), point_dimension(other.point_dimension) {}
+                        //! Creates an alias.  Does not make a deep copy of the point.  Needed for vector<QhullPoint>
+    QhullPoint &        operator=(const QhullPoint &other) { point_coordinates= other.point_coordinates; qh_qh= other.qh_qh; point_dimension= other.point_dimension; return *this; }
+                        ~QhullPoint() {}
+
+
+#//!\name Conversions
+
+#ifndef QHULL_NO_STL
+    std::vector<coordT> toStdVector() const;
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<coordT>       toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+public:
+    const coordT *      coordinates() const { return point_coordinates; }  //!< 0 if undefined
+    coordT *            coordinates() { return point_coordinates; }        //!< 0 if undefined
+    void                defineAs(coordT *c) { QHULL_ASSERT(point_dimension>0); point_coordinates= c; }
+    void                defineAs(int pointDimension, coordT *c) { QHULL_ASSERT(pointDimension>=0); point_coordinates= c; point_dimension= pointDimension; }
+    void                defineAs(QhullPoint &other) { point_coordinates= other.point_coordinates; qh_qh= other.qh_qh; point_dimension= other.point_dimension; }
+    int                 dimension() const { return point_dimension; }
+    coordT *            getBaseT() const { return point_coordinates; } // for QhullPointSet
+    countT              id() const { return qh_pointid(qh_qh, point_coordinates); } // NOerrors
+    bool                isValid() const { return (point_coordinates!=0 && point_dimension>0); };
+    bool                operator==(const QhullPoint &other) const;
+    bool                operator!=(const QhullPoint &other) const { return ! operator==(other); }
+    const coordT &      operator[](int idx) const { QHULL_ASSERT(point_coordinates!=0 && idx>=0 && idx<point_dimension); return *(point_coordinates+idx); } //!< 0 to hull_dim-1
+    coordT &            operator[](int idx) { QHULL_ASSERT(point_coordinates!=0 && idx>=0 && idx<point_dimension); return *(point_coordinates+idx); } //!< 0 to hull_dim-1
+    QhullQh *           qh() { return qh_qh; }
+    void                setCoordinates(coordT *c) { point_coordinates= c; }
+    void                setDimension(int pointDimension) { point_dimension= pointDimension; }
+
+#//!\name foreach
+    iterator            begin() { return point_coordinates; }
+    const_iterator      begin() const { return point_coordinates; }
+    const_iterator      constBegin() const { return point_coordinates; }
+    const_iterator      constEnd() const { return (point_coordinates ? point_coordinates+point_dimension : 0); }
+    int                 count() { return (point_coordinates ? point_dimension : 0); }
+    iterator            end() { return (point_coordinates ? point_coordinates+point_dimension : 0); }
+    const_iterator      end() const { return (point_coordinates ? point_coordinates+point_dimension : 0); }
+    size_t              size() { return (size_t)(point_coordinates ? point_dimension : 0); }
+
+#//!\name Methods
+    void                advancePoint(countT idx) { if(point_coordinates) { point_coordinates += idx*point_dimension; } }
+    double              distance(const QhullPoint &p) const;
+
+#//!\name IO
+
+    struct PrintPoint{
+        const QhullPoint *point;
+        const char *    point_message;
+        bool            with_identifier;
+                        PrintPoint(const char *message, bool withIdentifier, const QhullPoint &p) : point(&p), point_message(message), with_identifier(withIdentifier) {}
+    };//PrintPoint
+    PrintPoint          print(const char *message) const { return PrintPoint(message, false, *this); }
+    PrintPoint          printWithIdentifier(const char *message) const { return PrintPoint(message, true, *this); }
+
+};//QhullPoint
+
+QHULL_DECLARE_SEQUENTIAL_ITERATOR(QhullPoint, coordT)
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullPoint::PrintPoint &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullPoint &p);
+
+#endif // QHPOINT_H
+

deps_src/qhull/src/libqhullcpp/QhullPointSet.cpp

@@ -0,0 +1,62 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullPointSet.cpp#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/QhullPointSet.h"
+
+#include <iostream>
+#include <algorithm>
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+// Implemented via QhullSet.h
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+using orgQhull::QhullPoint;
+using orgQhull::QhullPointSet;
+using orgQhull::QhullPointSetIterator;
+
+ostream &
+operator<<(ostream &os, const QhullPointSet::PrintIdentifiers &pr)
+{
+    os << pr.print_message;
+    const QhullPointSet s= *pr.point_set;
+    QhullPointSetIterator i(s);
+    while(i.hasNext()){
+        if(i.hasPrevious()){
+            os << " ";
+        }
+        const QhullPoint point= i.next();
+        countT id= point.id();
+        os << "p" << id;
+
+    }
+    os << endl;
+    return os;
+}//PrintIdentifiers
+
+ostream &
+operator<<(ostream &os, const QhullPointSet::PrintPointSet &pr)
+{
+    os << pr.print_message;
+    const QhullPointSet s= *pr.point_set;
+    for(QhullPointSet::const_iterator i=s.begin(); i != s.end(); ++i){
+        const QhullPoint point= *i;
+        os << point;
+    }
+    return os;
+}//printPointSet
+
+

deps_src/qhull/src/libqhullcpp/QhullPointSet.h

@@ -0,0 +1,77 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullPointSet.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLPOINTSET_H
+#define QHULLPOINTSET_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullSet.h"
+#include "libqhullcpp/QhullPoint.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Qhull;
+    class QhullPoint;
+
+#//!\name Defined here
+    //! QhullPointSet -- a set of coordinate pointers with input dimension
+    // with const_iterator and iterator
+    class QhullPointSet;
+
+class QhullPointSet : public QhullSet<QhullPoint> {
+
+private:
+#//!\name Fields
+    // no fields
+public:
+
+#//!\name Construct
+                        QhullPointSet(const Qhull &q, setT *s) : QhullSet<QhullPoint>(q, s) {}
+                        //Conversion from setT* is not type-safe.  Implicit conversion for void* to T
+                        QhullPointSet(QhullQh *qqh, setT *s) : QhullSet<QhullPoint>(qqh, s) {}
+                        //Copy constructor copies pointer but not contents.  Needed for return by value and parameter passing.
+                        QhullPointSet(const QhullPointSet &other) : QhullSet<QhullPoint>(other) {}
+                        //!Assignment copies pointers but not contents.
+    QhullPointSet &     operator=(const QhullPointSet &other) { QhullSet<QhullPoint>::operator=(other); return *this; }
+                        ~QhullPointSet() {}
+
+                        //!Default constructor disabled.
+private:
+                        QhullPointSet();
+public:
+
+#//!\name IO
+    struct PrintIdentifiers{
+        const QhullPointSet *point_set;
+        const char *    print_message; //!< non-null message
+        PrintIdentifiers(const char *message, const QhullPointSet *s) : point_set(s), print_message(message) {}
+    };//PrintIdentifiers
+    PrintIdentifiers printIdentifiers(const char *message) const { return PrintIdentifiers(message, this); }
+
+    struct PrintPointSet{
+        const QhullPointSet *point_set;
+        const char *    print_message;  //!< non-null message
+        PrintPointSet(const char *message, const QhullPointSet &s) : point_set(&s), print_message(message) {}
+    };//PrintPointSet
+    PrintPointSet       print(const char *message) const { return PrintPointSet(message, *this); }
+
+};//QhullPointSet
+
+typedef QhullSetIterator<QhullPoint>  QhullPointSetIterator;
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullPointSet::PrintIdentifiers &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullPointSet::PrintPointSet &pr);
+
+#endif // QHULLPOINTSET_H

deps_src/qhull/src/libqhullcpp/QhullPoints.cpp

@@ -0,0 +1,320 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullPoints.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/QhullPoints.h"
+
+#include "libqhullcpp/Qhull.h"
+
+#include <iostream>
+
+#ifndef QHULL_NO_STL
+#include <vector>
+#endif
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Constructors
+
+QhullPoints::
+QhullPoints(const Qhull &q)
+: point_first(0)
+, point_end(0)
+, qh_qh(q.qh())
+, point_dimension(q.hullDimension())
+{
+}//QhullPoints Qhull
+
+QhullPoints::
+QhullPoints(const Qhull &q, countT coordinateCount2, coordT *c)
+: point_first(c)
+, point_end(c+coordinateCount2)
+, qh_qh(q.qh())
+, point_dimension(q.hullDimension())
+{
+    QHULL_ASSERT(q.hullDimension());
+    QHULL_ASSERT(coordinateCount2>=0);
+}//QhullPoints Qhull dim
+
+QhullPoints::
+QhullPoints(const Qhull &q, int pointDimension, countT coordinateCount2, coordT *c)
+: point_first(c)
+, point_end(c+coordinateCount2)
+, qh_qh(q.qh())
+, point_dimension(pointDimension)
+{
+    QHULL_ASSERT(pointDimension>=0);
+    QHULL_ASSERT(coordinateCount2>=0);
+}//QhullPoints Qhull dim coordT
+
+QhullPoints::
+QhullPoints(QhullQh *qqh, int pointDimension, countT coordinateCount2, coordT *c)
+: point_first(c)
+, point_end(c+coordinateCount2)
+, qh_qh(qqh)
+, point_dimension(pointDimension)
+{
+    QHULL_ASSERT(pointDimension>=0);
+    QHULL_ASSERT(coordinateCount2>=0);
+}//QhullPoints QhullQh dim coordT
+
+#//!\name Conversions
+// See qt-qhull.cpp for QList conversion
+
+#ifndef QHULL_NO_STL
+std::vector<QhullPoint> QhullPoints::
+toStdVector() const
+{
+    QhullPointsIterator i(*this);
+    std::vector<QhullPoint> vs;
+    while(i.hasNext()){
+        vs.push_back(i.next());
+    }
+    return vs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+#//!\name GetSet
+
+countT QhullPoints::
+extraCoordinatesCount() const
+{
+    if(point_dimension>0){
+        return (countT)((point_end-point_first)%(size_t)point_dimension);
+    }
+    return 0;
+}//extraCoordinatesCount
+
+//! QhullPoints is equal if the same address, or if the coordinates are identical
+//! Use QhullPoint.operator==() for DISTround equality
+bool QhullPoints::
+operator==(const QhullPoints &other) const
+{
+    if((point_end-point_first) != (other.point_end-other.point_first)){
+        return false;
+    }
+    if(point_dimension!=other.point_dimension){
+        return false;
+    }
+    if(point_first==other.point_first){
+        return true;
+    }
+    if(!qh_qh || qh_qh->hull_dim==0){
+        const coordT *c= point_first;
+        const coordT *c2= other.point_first;
+        while(c<point_end){
+            if(*c++!=*c2++){
+                return false;
+            }
+        }
+    }else{
+        const_iterator i= begin();
+        const_iterator i2= other.begin();
+        while(i<end()){
+            if(*i++!=*i2++){
+                return false;
+            }
+        }
+    }
+    return true;
+}//operator==
+
+//! Reset QhullPoints to QhullQh and its hullDimension()
+//! Does not free up old qh_qh
+void QhullPoints::
+resetQhullQh(QhullQh *qqh)
+{
+    qh_qh= qqh;
+    point_dimension= (qqh ? qqh->hull_dim : 0);
+    point_first= 0;
+    point_end= 0;
+}//resetQhullQh
+
+QhullPoint QhullPoints::
+value(countT idx) const
+{
+    QhullPoint p(qh_qh);
+    if(idx>=0 && idx<count()){
+        p.defineAs(point_dimension, point_first+idx*point_dimension);
+    }
+    return p;
+}//value
+
+QhullPoint QhullPoints::
+value(countT idx, QhullPoint &defaultValue) const
+{
+    QhullPoint p(qh_qh);
+    if(idx>=0 && idx<count()){
+        p.defineAs(point_dimension, point_first+idx*point_dimension);
+    }else{
+        p.defineAs(defaultValue);
+    }
+    return p;
+}//value
+
+#//!\name Methods
+
+bool QhullPoints::
+contains(const QhullPoint &t) const
+{
+    const_iterator i= begin();
+    while(i != end()){
+        if(*i==t){
+            return true;
+        }
+        i++;
+    }
+    return false;
+}//contains
+
+countT QhullPoints::
+count(const QhullPoint &t) const
+{
+    countT n= 0;
+    const_iterator i= begin();
+    while(i != end()){
+        if(*i==t){
+            ++n;
+        }
+        i++;
+    }
+    return n;
+}//count
+
+countT QhullPoints::
+indexOf(const coordT *pointCoordinates) const
+{
+    if(!includesCoordinates(pointCoordinates) || point_dimension==0){
+        return -1;
+    }
+    size_t offset= pointCoordinates-point_first;
+    countT idx= (countT)(offset/(size_t)point_dimension);
+    countT extra= (countT)(offset%(size_t)point_dimension);
+    if(extra!=0){
+        throw QhullError(10066, "Qhull error: coordinates %x are not at point boundary (extra %d at index %d)", extra, idx, 0.0, pointCoordinates);
+    }
+    return idx;
+}//indexOf coordT
+
+countT QhullPoints::
+indexOf(const coordT *pointCoordinates, int noThrow) const
+{
+    size_t extra= 0;
+    if(noThrow){
+        if(!includesCoordinates(pointCoordinates) || point_dimension==0){
+            return -1;
+        }
+        extra= (pointCoordinates-point_first)%(size_t)point_dimension;
+    }
+    return indexOf(pointCoordinates-extra);
+}//indexOf coordT noThrow
+
+countT QhullPoints::
+indexOf(const QhullPoint &t) const
+{
+    countT j=0;
+    const_iterator i= begin();
+    while(i!=end()){
+        if(*i==t){
+            return j;
+        }
+        ++i;
+        ++j;
+    }
+    return -1;
+}//indexOf
+
+countT QhullPoints::
+lastIndexOf(const QhullPoint &t) const
+{
+    countT j= count();
+    const_iterator i= end();
+    while(i != begin()){
+        --i;
+        --j;
+        if(*i==t){
+            return j;
+        }
+    }
+    return -1;
+}//lastIndexOf
+
+QhullPoints QhullPoints::
+mid(countT idx, countT length) const
+{
+    countT n= count();
+    if(idx<0 || idx>=n){
+        n= 0;
+    }else if(length<0 || idx+length>=n){
+        n -= idx;
+    }else{
+        n -= idx+length;
+    }
+    return QhullPoints(qh_qh, point_dimension, n*point_dimension, point_first+idx*point_dimension);
+}//mid
+
+#//!\name QhullPointsIterator
+
+bool QhullPointsIterator::
+findNext(const QhullPoint &p)
+{
+    while(i!=ps->constEnd()){
+        if(*i++ == p){
+            return true;
+        }
+    }
+    return false;
+}//findNext
+
+bool QhullPointsIterator::
+findPrevious(const QhullPoint &p)
+{
+    while(i!=ps->constBegin()){
+        if(*--i == p){
+            return true;
+        }
+    }
+    return false;
+}//findPrevious
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::ostream;
+using orgQhull::QhullPoint;
+using orgQhull::QhullPoints;
+using orgQhull::QhullPointsIterator;
+
+ostream &
+operator<<(ostream &os, const QhullPoints &p)
+{
+    QhullPointsIterator i(p);
+    while(i.hasNext()){
+        os << i.next();
+    }
+    return os;
+}//operator<<QhullPoints
+
+ostream &
+operator<<(ostream &os, const QhullPoints::PrintPoints &pr)
+{
+    os << pr.point_message;
+    QhullPoints ps= *pr.points;
+    for(QhullPoints::iterator i=ps.begin(); i!=ps.end(); ++i){
+        QhullPoint p= *i;
+        if(pr.with_identifier){
+            os << p.printWithIdentifier("");
+        }else{
+            os << p.print("");
+        }
+    }
+    return os;
+}//<<PrintPoints

deps_src/qhull/src/libqhullcpp/QhullPoints.h

@@ -0,0 +1,266 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullPoints.h#5 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLPOINTS_H
+#define QHULLPOINTS_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullPoint.h"
+
+#include <cstddef>  // ptrdiff_t, size_t
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Defined here
+    class QhullPoints;          //!< One or more points Coordinate pointers with dimension and iterators
+    class QhullPointsIterator;  //!< Java-style iterator
+
+//! QhullPoints are an array of QhullPoint as pointers into an array of coordinates.
+//! For Qhull/QhullQh, QhullPoints must use hull_dim.  Can change QhullPoint to input_dim if needed for Delaunay input site
+class QhullPoints {
+
+private:
+#//!\name Fields
+    coordT *            point_first; //!< First coordinate of an array of points of point_dimension
+    coordT *            point_end;   //!< End of point coordinates (end>=first).  Trailing coordinates ignored
+    QhullQh *           qh_qh;       //!< Maybe initialized NULL to allow ownership by RboxPoints
+                                     //!< qh_qh used for QhullPoint() and qh_qh->hull_dim in constructor
+    int                 point_dimension;  //!< Dimension, >=0
+
+public:
+#//!\name Subtypes
+    class const_iterator;
+    class iterator;
+    typedef QhullPoints::const_iterator ConstIterator;
+    typedef QhullPoints::iterator       Iterator;
+
+#//!\name Construct
+    //! QhullPoint, PointCoordinates, and QhullPoints have similar constructors
+    //! If Qhull/QhullQh is not initialized, then QhullPoints.dimension() is zero unless explicitly set
+    //! Cannot define QhullPoints(int pointDimension) since it is ambiguous with QhullPoints(QhullQh *qqh)
+                        QhullPoints() : point_first(0), point_end(0), qh_qh(0), point_dimension(0) { }
+                        QhullPoints(int pointDimension, countT coordinateCount2, coordT *c) : point_first(c), point_end(c+coordinateCount2), qh_qh(0), point_dimension(pointDimension) { QHULL_ASSERT(pointDimension>=0); }
+    explicit            QhullPoints(const Qhull &q);
+                        QhullPoints(const Qhull &q, countT coordinateCount2, coordT *c);
+                        QhullPoints(const Qhull &q, int pointDimension, countT coordinateCount2, coordT *c);
+    explicit            QhullPoints(QhullQh *qqh) : point_first(0), point_end(0), qh_qh(qqh), point_dimension(qqh ? qqh->hull_dim : 0) { }
+                        QhullPoints(QhullQh *qqh, countT coordinateCount2, coordT *c) : point_first(c), point_end(c+coordinateCount2), qh_qh(qqh), point_dimension(qqh ? qqh->hull_dim : 0) { QHULL_ASSERT(qqh && qqh->hull_dim>0); }
+                        QhullPoints(QhullQh *qqh, int pointDimension, countT coordinateCount2, coordT *c);
+                        //! Copy constructor copies pointers but not contents.  Needed for return by value and parameter passing.
+                        QhullPoints(const QhullPoints &other)  : point_first(other.point_first), point_end(other.point_end), qh_qh(other.qh_qh), point_dimension(other.point_dimension) {}
+    QhullPoints &       operator=(const QhullPoints &other) { point_first= other.point_first; point_end= other.point_end; qh_qh= other.qh_qh; point_dimension= other.point_dimension; return *this; }
+                        ~QhullPoints() {}
+
+public:
+
+#//!\name Conversion
+
+#ifndef QHULL_NO_STL
+    std::vector<QhullPoint> toStdVector() const;
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<QhullPoint>   toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name GetSet
+    // Constructs QhullPoint.  Cannot return reference.
+    const QhullPoint    at(countT idx) const { /* point_first==0 caught by point_end assert */ coordT *p= point_first+idx*point_dimension; QHULL_ASSERT(p<point_end); return QhullPoint(qh_qh, point_dimension, p); }
+    // Constructs QhullPoint.  Cannot return reference.
+    const QhullPoint    back() const { return last(); }
+    QhullPoint          back() { return last(); }
+    ConstIterator       begin() const { return ConstIterator(*this); }
+    Iterator            begin() { return Iterator(*this); }
+    ConstIterator       constBegin() const { return ConstIterator(*this); }
+    const coordT *      constData() const { return point_first; }
+    ConstIterator       constEnd() const { return ConstIterator(qh_qh, point_dimension, point_end); }
+    coordT *            coordinates() const { return point_first; }
+    countT              coordinateCount() const { return (countT)(point_end-point_first); } // WARN64
+    countT              count() const { return (countT)size(); } // WARN64
+    const coordT *      data() const { return point_first; }
+    coordT *            data() { return point_first; }
+    void                defineAs(int pointDimension, countT coordinatesCount, coordT *c) { QHULL_ASSERT(pointDimension>=0 && coordinatesCount>=0 && c!=0); point_first= c; point_end= c+coordinatesCount; point_dimension= pointDimension; }
+    void                defineAs(countT coordinatesCount, coordT *c) { QHULL_ASSERT((point_dimension>0 && coordinatesCount>=0 && c!=0) || (c==0 && coordinatesCount==0)); point_first= c; point_end= c+coordinatesCount; }
+    void                defineAs(const QhullPoints &other) { point_first= other.point_first; point_end= other.point_end; qh_qh= other.qh_qh; point_dimension= other.point_dimension; }
+    int                 dimension() const { return point_dimension; }
+    ConstIterator       end() const { return ConstIterator(qh_qh, point_dimension, point_end); }
+    Iterator            end() { return Iterator(qh_qh, point_dimension, point_end); }
+    coordT *            extraCoordinates() const { return extraCoordinatesCount() ? (point_end-extraCoordinatesCount()) : 0; }
+    countT              extraCoordinatesCount() const;  // WARN64
+    // Constructs QhullPoint.  Cannot return reference.
+    const QhullPoint    first() const { return QhullPoint(qh_qh, point_dimension, point_first); }
+    QhullPoint          first() { return QhullPoint(qh_qh, point_dimension, point_first); }
+    // Constructs QhullPoint.  Cannot return reference.
+    const QhullPoint    front() const { return first(); }
+    QhullPoint          front() { return first(); }
+    bool                includesCoordinates(const coordT *c) const { return c>=point_first && c<point_end; }
+    bool                isEmpty() const { return (point_end==point_first || point_dimension==0); }
+    // Constructs QhullPoint.  Cannot return reference.
+    const QhullPoint    last() const { QHULL_ASSERT(point_first!=0); return QhullPoint(qh_qh, point_dimension, point_end - point_dimension); }
+    QhullPoint          last() { QHULL_ASSERT(point_first!=0); return QhullPoint(qh_qh, point_dimension, point_end - point_dimension); }
+    bool                operator==(const QhullPoints &other) const;
+    bool                operator!=(const QhullPoints &other) const { return ! operator==(other); }
+    QhullPoint          operator[](countT idx) const { return at(idx); }
+    QhullQh *           qh() const { return qh_qh; }
+    void                resetQhullQh(QhullQh *qqh);
+    void                setDimension(int d) { point_dimension= d; }
+    size_t              size() const { return point_dimension ? (point_end-point_first)/point_dimension : 0; }
+    QhullPoint          value(countT idx) const;
+    QhullPoint          value(countT idx, QhullPoint &defaultValue) const;
+
+#//!\name Methods
+    bool                contains(const QhullPoint &t) const;
+    countT              count(const QhullPoint &t) const;
+    countT              indexOf(const coordT *pointCoordinates) const;
+    countT              indexOf(const coordT *pointCoordinates, int noThrow) const;
+    countT              indexOf(const QhullPoint &t) const;
+    countT              lastIndexOf(const QhullPoint &t) const;
+    //! Returns a subset of the points, not a copy
+    QhullPoints         mid(countT idx, countT length= -1) const;
+
+#//!\name QhullPoints::iterator
+    // Modeled on qlist.h w/o QT_STRICT_ITERATORS
+    // before const_iterator for conversion with comparison operators
+    // See: QhullSet.h
+    class iterator : public QhullPoint {
+
+    public:
+        typedef std::random_access_iterator_tag  iterator_category;
+        typedef QhullPoint      value_type;
+        typedef value_type *    pointer;
+        typedef value_type &    reference;
+        typedef ptrdiff_t       difference_type;
+
+        explicit        iterator(const QhullPoints &ps) : QhullPoint(ps.qh(), ps.dimension(), ps.coordinates()) {}
+                        iterator(const int pointDimension, coordT *c): QhullPoint(pointDimension, c) {}
+                        iterator(const Qhull &q, coordT *c): QhullPoint(q, c) {}
+                        iterator(const Qhull &q, int pointDimension, coordT *c): QhullPoint(q, pointDimension, c) {}
+                        iterator(QhullQh *qqh, coordT *c): QhullPoint(qqh, c) {}
+                        iterator(QhullQh *qqh, int pointDimension, coordT *c): QhullPoint(qqh, pointDimension, c) {}
+                        iterator(const iterator &other): QhullPoint(*other) {}
+        iterator &      operator=(const iterator &other) { defineAs( const_cast<iterator &>(other)); return *this; }
+
+        // Need 'const QhullPoint' to maintain const
+        const QhullPoint & operator*() const { return *this; }
+        QhullPoint &    operator*() { return *this; }
+        const QhullPoint * operator->() const { return this; }
+        QhullPoint *    operator->() { return this; }
+        // value instead of reference since advancePoint() modifies self
+        QhullPoint      operator[](countT idx) const { QhullPoint result= *this; result.advancePoint(idx); return result; }
+        bool            operator==(const iterator &o) const { QHULL_ASSERT(qh_qh==o.qh_qh); return (point_coordinates==o.point_coordinates && point_dimension==o.point_dimension); }
+        bool            operator!=(const iterator &o) const { return !operator==(o); }
+        bool            operator<(const iterator &o) const  { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates < o.point_coordinates; }
+        bool            operator<=(const iterator &o) const { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates <= o.point_coordinates; }
+        bool            operator>(const iterator &o) const  { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates > o.point_coordinates; }
+        bool            operator>=(const iterator &o) const { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates >= o.point_coordinates; }
+        // reinterpret_cast to break circular dependency
+        bool            operator==(const QhullPoints::const_iterator &o) const { QHULL_ASSERT(qh_qh==reinterpret_cast<const iterator &>(o).qh_qh); return (point_coordinates==reinterpret_cast<const iterator &>(o).point_coordinates && point_dimension==reinterpret_cast<const iterator &>(o).point_dimension); }
+        bool            operator!=(const QhullPoints::const_iterator &o) const { return !operator==(reinterpret_cast<const iterator &>(o)); }
+        bool            operator<(const QhullPoints::const_iterator &o) const  { QHULL_ASSERT(qh_qh==reinterpret_cast<const iterator &>(o).qh_qh); return point_coordinates < reinterpret_cast<const iterator &>(o).point_coordinates; }
+        bool            operator<=(const QhullPoints::const_iterator &o) const { QHULL_ASSERT(qh_qh==reinterpret_cast<const iterator &>(o).qh_qh); return point_coordinates <= reinterpret_cast<const iterator &>(o).point_coordinates; }
+        bool            operator>(const QhullPoints::const_iterator &o) const  { QHULL_ASSERT(qh_qh==reinterpret_cast<const iterator &>(o).qh_qh); return point_coordinates > reinterpret_cast<const iterator &>(o).point_coordinates; }
+        bool            operator>=(const QhullPoints::const_iterator &o) const { QHULL_ASSERT(qh_qh==reinterpret_cast<const iterator &>(o).qh_qh); return point_coordinates >= reinterpret_cast<const iterator &>(o).point_coordinates; }
+        iterator &      operator++() { advancePoint(1); return *this; }
+        iterator        operator++(int) { iterator n= *this; operator++(); return iterator(n); }
+        iterator &      operator--() { advancePoint(-1); return *this; }
+        iterator        operator--(int) { iterator n= *this; operator--(); return iterator(n); }
+        iterator &      operator+=(countT idx) { advancePoint(idx); return *this; }
+        iterator &      operator-=(countT idx) { advancePoint(-idx); return *this; }
+        iterator        operator+(countT idx) const { iterator n= *this; n.advancePoint(idx); return n; }
+        iterator        operator-(countT idx) const { iterator n= *this; n.advancePoint(-idx); return n; }
+        difference_type operator-(iterator o) const { QHULL_ASSERT(qh_qh==o.qh_qh && point_dimension==o.point_dimension); return (point_dimension ? (point_coordinates-o.point_coordinates)/point_dimension : 0); }
+    };//QhullPoints::iterator
+
+#//!\name QhullPoints::const_iterator
+    //!\todo FIXUP QH11018 const_iterator same as iterator.  SHould have a common definition
+    class const_iterator : public QhullPoint {
+
+    public:
+        typedef std::random_access_iterator_tag  iterator_category;
+        typedef QhullPoint          value_type;
+        typedef const value_type *  pointer;
+        typedef const value_type &  reference;
+        typedef ptrdiff_t           difference_type;
+
+                        const_iterator(const QhullPoints::iterator &o) : QhullPoint(*o) {}
+        explicit        const_iterator(const QhullPoints &ps) : QhullPoint(ps.qh(), ps.dimension(), ps.coordinates()) {}
+                        const_iterator(const int pointDimension, coordT *c): QhullPoint(pointDimension, c) {}
+                        const_iterator(const Qhull &q, coordT *c): QhullPoint(q, c) {}
+                        const_iterator(const Qhull &q, int pointDimension, coordT *c): QhullPoint(q, pointDimension, c) {}
+                        const_iterator(QhullQh *qqh, coordT *c): QhullPoint(qqh, c) {}
+                        const_iterator(QhullQh *qqh, int pointDimension, coordT *c): QhullPoint(qqh, pointDimension, c) {}
+                        const_iterator(const const_iterator &o) : QhullPoint(*o) {}
+        const_iterator &operator=(const const_iterator &o) { defineAs(const_cast<const_iterator &>(o)); return *this; }
+
+        // value/non-const since advancePoint(1), etc. modifies self
+        const QhullPoint & operator*() const { return *this; }
+        const QhullPoint * operator->() const { return this; }
+        // value instead of reference since advancePoint() modifies self
+        const QhullPoint operator[](countT idx) const { QhullPoint n= *this; n.advancePoint(idx); return n; }
+        bool            operator==(const const_iterator &o) const { QHULL_ASSERT(qh_qh==o.qh_qh); return (point_coordinates==o.point_coordinates && point_dimension==o.point_dimension); }
+        bool            operator!=(const const_iterator &o) const { return ! operator==(o); }
+        bool            operator<(const const_iterator &o) const  { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates < o.point_coordinates; }
+        bool            operator<=(const const_iterator &o) const { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates <= o.point_coordinates; }
+        bool            operator>(const const_iterator &o) const  { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates > o.point_coordinates; }
+        bool            operator>=(const const_iterator &o) const { QHULL_ASSERT(qh_qh==o.qh_qh); return point_coordinates >= o.point_coordinates; }
+        const_iterator &operator++() { advancePoint(1); return *this; }
+        const_iterator  operator++(int) { const_iterator n= *this; operator++(); return const_iterator(n); }
+        const_iterator &operator--() { advancePoint(-1); return *this; }
+        const_iterator  operator--(int) { const_iterator n= *this; operator--(); return const_iterator(n); }
+        const_iterator &operator+=(countT idx) { advancePoint(idx); return *this; }
+        const_iterator &operator-=(countT idx) { advancePoint(-idx); return *this; }
+        const_iterator  operator+(countT idx) const { const_iterator n= *this; n.advancePoint(idx); return n; }
+        const_iterator  operator-(countT idx) const { const_iterator n= *this; n.advancePoint(-idx); return n; }
+        difference_type operator-(const_iterator o) const { QHULL_ASSERT(qh_qh==o.qh_qh && point_dimension==o.point_dimension); return (point_dimension ? (point_coordinates-o.point_coordinates)/point_dimension : 0); }
+    };//QhullPoints::const_iterator
+
+#//!\name IO
+    struct PrintPoints{
+        const QhullPoints  *points;
+        const char *    point_message;
+        bool            with_identifier;
+        PrintPoints(const char *message, bool withIdentifier, const QhullPoints &ps) : points(&ps), point_message(message), with_identifier(withIdentifier) {}
+    };//PrintPoints
+    PrintPoints          print(const char *message) const { return PrintPoints(message, false, *this); }
+    PrintPoints          printWithIdentifier(const char *message) const { return PrintPoints(message, true, *this); }
+};//QhullPoints
+
+// Instead of QHULL_DECLARE_SEQUENTIAL_ITERATOR because next(),etc would return a reference to a temporary
+class QhullPointsIterator
+{
+    typedef QhullPoints::const_iterator const_iterator;
+
+#//!\name Fields
+private:
+    const QhullPoints  *ps;
+    const_iterator      i;
+
+public:
+                        QhullPointsIterator(const QhullPoints &other) : ps(&other), i(ps->constBegin()) {}
+    QhullPointsIterator &operator=(const QhullPoints &other) { ps = &other; i = ps->constBegin(); return *this; }
+
+    bool                findNext(const QhullPoint &t);
+    bool                findPrevious(const QhullPoint &t);
+    bool                hasNext() const { return i != ps->constEnd(); }
+    bool                hasPrevious() const { return i != ps->constBegin(); }
+    QhullPoint          next() { return *i++; }
+    QhullPoint          peekNext() const { return *i; }
+    QhullPoint          peekPrevious() const { const_iterator p = i; return *--p; }
+    QhullPoint          previous() { return *--i; }
+    void                toBack() { i = ps->constEnd(); }
+    void                toFront() { i = ps->constBegin(); }
+};//QhullPointsIterator
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &          operator<<(std::ostream &os, const orgQhull::QhullPoints &p);
+std::ostream &          operator<<(std::ostream &os, const orgQhull::QhullPoints::PrintPoints &pr);
+
+#endif // QHULLPOINTS_H

deps_src/qhull/src/libqhullcpp/QhullQh.cpp

@@ -0,0 +1,237 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullQh.cpp#5 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullQh -- Qhull's global data structure, qhT, as a C++ class
+
+
+#include "libqhullcpp/QhullQh.h"
+
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/QhullStat.h"
+
+#include <sstream>
+#include <iostream>
+
+#include <stdarg.h>
+
+using std::cerr;
+using std::string;
+using std::vector;
+using std::ostream;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Global variables
+const double QhullQh::
+default_factor_epsilon= 1.0;
+
+#//!\name Constructor, destructor, etc.
+
+//! Derived from qh_new_qhull[user.c]
+QhullQh::
+QhullQh()
+: qhull_status(qh_ERRnone)
+, qhull_message()
+, error_stream(0)
+, output_stream(0)
+, factor_epsilon(QhullQh::default_factor_epsilon)
+, use_output_stream(false)
+{
+    // NOerrors: TRY_QHULL_ not needed since these routines do not call qh_errexit()
+    qh_meminit(this, NULL);
+    qh_initstatistics(this);
+    qh_initqhull_start2(this, NULL, NULL, qh_FILEstderr);  // Initialize qhT
+    this->ISqhullQh= True;
+}//QhullQh
+
+QhullQh::
+~QhullQh()
+{
+    checkAndFreeQhullMemory();
+}//~QhullQh
+
+#//!\name Methods
+
+//! Check memory for internal consistency
+//! Free global memory used by qh_initbuild and qh_buildhull
+//! Zero the qhT data structure, except for memory (qhmemT) and statistics (qhstatT)
+//! Check and free short memory (e.g., facetT)
+//! Zero the qhmemT data structure
+void QhullQh::
+checkAndFreeQhullMemory()
+{
+#ifdef qh_NOmem
+    qh_freeqhull(this, qh_ALL);
+#else
+    qh_memcheck(this);
+    qh_freeqhull(this, !qh_ALL);
+    countT curlong;
+    countT totlong;
+    qh_memfreeshort(this, &curlong, &totlong);
+    if (curlong || totlong)
+        throw QhullError(10026, "Qhull error: qhull did not free %d bytes of long memory (%d pieces).", totlong, curlong);
+#endif
+}//checkAndFreeQhullMemory
+
+#//!\name Messaging
+
+void QhullQh::
+appendQhullMessage(const string &s)
+{
+    if(output_stream && use_output_stream && this->USEstdout){ 
+        *output_stream << s;
+    }else if(error_stream){
+        *error_stream << s;
+    }else{
+        qhull_message += s;
+    }
+}//appendQhullMessage
+
+//! clearQhullMessage does not throw errors (~Qhull)
+void QhullQh::
+clearQhullMessage()
+{
+    qhull_status= qh_ERRnone;
+    qhull_message.clear();
+    RoadError::clearGlobalLog();
+}//clearQhullMessage
+
+//! hasQhullMessage does not throw errors (~Qhull)
+bool QhullQh::
+hasQhullMessage() const
+{
+    return (!qhull_message.empty() || qhull_status!=qh_ERRnone);
+    //FIXUP QH11006 -- inconsistent usage with Rbox.  hasRboxMessage just tests rbox_status.  No appendRboxMessage()
+}
+
+void QhullQh::
+maybeThrowQhullMessage(int exitCode)
+{
+    if(!NOerrexit){
+        if(qhull_message.size()>0){
+            qhull_message.append("\n");
+        }
+        if(exitCode || qhull_status==qh_ERRnone){
+            qhull_status= 10073;
+        }else{
+            qhull_message.append("QH10073: ");
+        }
+        qhull_message.append("Cannot call maybeThrowQhullMessage() from QH_TRY_().  Or missing 'qh->NOerrexit=true;' after QH_TRY_(){...}.");
+    }
+    if(qhull_status==qh_ERRnone){
+        qhull_status= exitCode;
+    }
+    if(qhull_status!=qh_ERRnone){
+        QhullError e(qhull_status, qhull_message);
+        clearQhullMessage();
+        throw e; // FIXUP QH11007: copy constructor is expensive if logging
+    }
+}//maybeThrowQhullMessage
+
+void QhullQh::
+maybeThrowQhullMessage(int exitCode, int noThrow)  throw()
+{
+    QHULL_UNUSED(noThrow);
+
+    if(qhull_status==qh_ERRnone){
+        qhull_status= exitCode;
+    }
+    if(qhull_status!=qh_ERRnone){
+        QhullError e(qhull_status, qhull_message);
+        e.logErrorLastResort();
+    }
+}//maybeThrowQhullMessage
+
+//! qhullMessage does not throw errors (~Qhull)
+std::string QhullQh::
+qhullMessage() const
+{
+    if(qhull_message.empty() && qhull_status!=qh_ERRnone){
+        return "qhull: no message for error.  Check cerr or error stream\n";
+    }else{
+        return qhull_message;
+    }
+}//qhullMessage
+
+int QhullQh::
+qhullStatus() const
+{
+    return qhull_status;
+}//qhullStatus
+
+void QhullQh::
+setErrorStream(ostream *os)
+{
+    error_stream= os;
+}//setErrorStream
+
+//! Updates use_output_stream
+void QhullQh::
+setOutputStream(ostream *os)
+{
+    output_stream= os;
+    use_output_stream= (os!=0);
+}//setOutputStream
+
+}//namespace orgQhull
+
+/*-<a                             href="qh_qh-user.htm#TOC"
+ >-------------------------------</a><a name="qh_fprintf">-</a>
+
+  qh_fprintf(qhT *qh, fp, msgcode, format, list of args )
+    replaces qh_fprintf() in userprintf_r.c
+
+notes:
+    only called from libqhull
+    same as fprintf() and RboxPoints.qh_fprintf_rbox()
+    fgets() is not trapped like fprintf()
+    Do not throw errors from here.  Use qh_errexit;
+*/
+extern "C"
+void qh_fprintf(qhT *qh, FILE *fp, int msgcode, const char *fmt, ... ) {
+    va_list args;
+
+    using namespace orgQhull;
+
+    if(!qh->ISqhullQh){
+        qh_fprintf_stderr(10025, "Qhull error: qh_fprintf called from a Qhull instance without QhullQh defined\n");
+        qh_exit(10025);
+    }
+    QhullQh *qhullQh= static_cast<QhullQh *>(qh);
+    va_start(args, fmt);
+    if(msgcode<MSG_OUTPUT || fp == qh_FILEstderr){
+        if(msgcode>=MSG_ERROR && msgcode<MSG_WARNING){
+            if(qhullQh->qhull_status<MSG_ERROR || qhullQh->qhull_status>=MSG_WARNING){
+                qhullQh->qhull_status= msgcode;
+            }
+        }
+        char newMessage[MSG_MAXLEN];
+        // RoadError will add the message tag
+        vsnprintf(newMessage, sizeof(newMessage), fmt, args);
+        qhullQh->appendQhullMessage(newMessage);
+        va_end(args);
+        return;
+    }
+    if(qhullQh->output_stream && qhullQh->use_output_stream){
+        char newMessage[MSG_MAXLEN];
+        vsnprintf(newMessage, sizeof(newMessage), fmt, args);
+        *qhullQh->output_stream << newMessage;
+        va_end(args);
+        return;
+    }
+    // FIXUP QH11008: how do users trap messages and handle input?  A callback?
+    char newMessage[MSG_MAXLEN];
+    vsnprintf(newMessage, sizeof(newMessage), fmt, args);
+    qhullQh->appendQhullMessage(newMessage);
+    va_end(args);
+} /* qh_fprintf */

deps_src/qhull/src/libqhullcpp/QhullQh.h

@@ -0,0 +1,110 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullQh.h#2 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLQH_H
+#define QHULLQH_H
+
+#include "libqhull_r/qhull_ra.h"
+
+#include <string>
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  /* interaction between '_setjmp' and C++ object destruction is non-portable */
+/* setjmp should not be implemented with 'catch' */
+#endif
+
+//! Use QH_TRY_ or QH_TRY_NOTHROW_ to call a libqhull_r routine that may invoke qh_errexit()
+//! QH_TRY_(qh){...} qh->NOerrexit=true;
+//! No object creation -- longjmp() skips object destructors
+//! To test for error when done -- qh->maybeThrowQhullMessage(QH_TRY_status);
+//! Use the same compiler for QH_TRY_, libqhullcpp, and libqhull_r.  setjmp() is not portable between compilers.
+
+#define QH_TRY_ERROR 10071
+
+#define QH_TRY_(qh) \
+    int QH_TRY_status; \
+    if(qh->NOerrexit){ \
+        qh->NOerrexit= False; \
+        QH_TRY_status= setjmp(qh->errexit); \
+    }else{ \
+        throw QhullError(QH_TRY_ERROR, "Cannot invoke QH_TRY_() from inside a QH_TRY_.  Or missing 'qh->NOerrexit=true' after previously called QH_TRY_(qh){...}"); \
+    } \
+    if(!QH_TRY_status)
+
+#define QH_TRY_NO_THROW_(qh) \
+    int QH_TRY_status; \
+    if(qh->NOerrexit){ \
+        qh->NOerrexit= False; \
+        QH_TRY_status= setjmp(qh->errexit); \
+    }else{ \
+        QH_TRY_status= QH_TRY_ERROR; \
+    } \
+    if(!QH_TRY_status)
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! QhullQh -- Qhull's global data structure, qhT, as a C++ class
+    class QhullQh;
+
+//! POD type equivalent to qhT.  No virtual members
+class QhullQh : public qhT {
+
+#//!\name Constants
+
+#//!\name Fields
+private:
+    int                 qhull_status;   //!< qh_ERRnone if valid
+    std::string         qhull_message;  //!< Returned messages from libqhull_r
+    std::ostream *      error_stream;   //!< overrides errorMessage, use appendQhullMessage()
+    std::ostream *      output_stream;  //!< send output to stream
+    double              factor_epsilon; //!< Factor to increase ANGLEround and DISTround for hyperplane equality
+    bool                use_output_stream; //!< True if using output_stream
+
+    friend void         ::qh_fprintf(qhT *qh, FILE *fp, int msgcode, const char *fmt, ... );
+
+    static const double default_factor_epsilon;  //!< Default factor_epsilon is 1.0, never updated
+
+#//!\name Constructors
+public:
+                        QhullQh();
+                        ~QhullQh();
+private:
+                        //!disable copy constructor and assignment
+                        QhullQh(const QhullQh &);
+    QhullQh &           operator=(const QhullQh &);
+public:
+
+#//!\name GetSet
+    double              factorEpsilon() const { return factor_epsilon; }
+    void                setFactorEpsilon(double a) { factor_epsilon= a; }
+    void                disableOutputStream() { use_output_stream= false; }
+    void                enableOutputStream() { use_output_stream= true; }
+
+#//!\name Messaging
+    void                appendQhullMessage(const std::string &s);
+    void                clearQhullMessage();
+    std::string         qhullMessage() const;
+    bool                hasOutputStream() const { return use_output_stream; }
+    bool                hasQhullMessage() const;
+    void                maybeThrowQhullMessage(int exitCode);
+    void                maybeThrowQhullMessage(int exitCode, int noThrow) throw();
+    int                 qhullStatus() const;
+    void                setErrorStream(std::ostream *os);
+    void                setOutputStream(std::ostream *os);
+
+#//!\name Methods
+    double              angleEpsilon() const { return this->ANGLEround*factor_epsilon; } //!< Epsilon for hyperplane angle equality
+    void                checkAndFreeQhullMemory();
+    double              distanceEpsilon() const { return this->DISTround*factor_epsilon; } //!< Epsilon for distance to hyperplane
+
+};//class QhullQh
+
+}//namespace orgQhull
+
+#endif // QHULLQH_H

deps_src/qhull/src/libqhullcpp/QhullRidge.cpp

@@ -0,0 +1,124 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullRidge.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullRidge -- Qhull's ridge structure, ridgeT, as a C++ class
+
+#include "libqhullcpp/QhullRidge.h"
+
+#include "libqhullcpp/QhullSets.h"
+#include "libqhullcpp/QhullVertex.h"
+#include "libqhullcpp/Qhull.h"
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Class objects
+ridgeT QhullRidge::
+s_empty_ridge= {0,0,0,0,0,
+                0,0};
+
+#//!\name Constructors
+
+QhullRidge::QhullRidge(const Qhull &q)
+: qh_ridge(&s_empty_ridge)
+, qh_qh(q.qh())
+{
+}//Default
+
+QhullRidge::QhullRidge(const Qhull &q, ridgeT *r)
+: qh_ridge(r ? r : &s_empty_ridge)
+, qh_qh(q.qh())
+{
+}//ridgeT
+
+#//!\name foreach
+
+//! Return True if nextRidge3d
+//! Simplicial facets may have incomplete ridgeSets
+//! Does not use qh_errexit()
+bool QhullRidge::
+hasNextRidge3d(const QhullFacet &f) const
+{
+    if(!qh_qh){
+        return false;
+    }
+    vertexT *v= 0;
+    // Does not call qh_errexit(), TRY_QHULL_ not needed
+    ridgeT *ridge= qh_nextridge3d(getRidgeT(), f.getFacetT(), &v);
+    return (ridge!=0);
+}//hasNextRidge3d
+
+//! Return next ridge and optional vertex for a 3d facet and ridge
+//! Does not use qh_errexit()
+QhullRidge QhullRidge::
+nextRidge3d(const QhullFacet &f, QhullVertex *nextVertex) const
+{
+    vertexT *v= 0;
+    ridgeT *ridge= 0;
+    if(qh_qh){
+        // Does not call qh_errexit(), TRY_QHULL_ not needed
+        ridge= qh_nextridge3d(getRidgeT(), f.getFacetT(), &v);
+        if(!ridge){
+            throw QhullError(10030, "Qhull error nextRidge3d:  missing next ridge for facet %d ridge %d.  Does facet contain ridge?", f.id(), id());
+        }
+    }
+    if(nextVertex!=0){
+        *nextVertex= QhullVertex(qh_qh, v);
+    }
+    return QhullRidge(qh_qh, ridge);
+}//nextRidge3d
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+using orgQhull::QhullRidge;
+using orgQhull::QhullVertex;
+
+ostream &
+operator<<(ostream &os, const QhullRidge &r)
+{
+    os << r.print("");
+    return os;
+}//<< QhullRidge
+
+//! Duplicate of qh_printridge [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullRidge::PrintRidge &pr)
+{
+    if(*pr.print_message){
+        os << pr.print_message << " ";
+    }else{
+        os << "     - ";
+    }
+    QhullRidge r= *pr.ridge;
+    os << "r" << r.id();
+    if(r.getRidgeT()->tested){
+        os << " tested";
+    }
+    if(r.getRidgeT()->nonconvex){
+        os << " nonconvex";
+    }
+    os << endl;
+    os << r.vertices().print("           vertices:");
+    if(r.getRidgeT()->top && r.getRidgeT()->bottom){
+        os << "           between f" << r.topFacet().id() << " and f" << r.bottomFacet().id() << endl;
+    }else if(r.getRidgeT()->top){
+        os << "           top f" << r.topFacet().id() << endl;
+    }else if(r.getRidgeT()->bottom){
+        os << "           bottom f" << r.bottomFacet().id() << endl;
+    }
+
+    return os;
+}//<< PrintRidge

deps_src/qhull/src/libqhullcpp/QhullRidge.h

@@ -0,0 +1,112 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullRidge.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLRIDGE_H
+#define QHULLRIDGE_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullSet.h"
+#include "libqhullcpp/QhullVertex.h"
+#include "libqhullcpp/QhullVertexSet.h"
+#include "libqhullcpp/QhullFacet.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Qhull;
+    class QhullVertex;
+    class QhullVertexSet;
+    class QhullFacet;
+
+#//!\name Defined here
+    //! QhullRidge -- Qhull's ridge structure, ridgeT [libqhull.h], as a C++ class
+    class QhullRidge;
+    typedef QhullSet<QhullRidge>  QhullRidgeSet;
+    typedef QhullSetIterator<QhullRidge>  QhullRidgeSetIterator;
+    // see QhullSets.h for QhullRidgeSet and QhullRidgeSetIterator -- avoids circular references
+
+/************************
+a ridge is hull_dim-1 simplex between two neighboring facets.  If the
+facets are non-simplicial, there may be more than one ridge between
+two facets.  E.G. a 4-d hypercube has two triangles between each pair
+of neighboring facets.
+
+topological information:
+    vertices            a set of vertices
+    top,bottom          neighboring facets with orientation
+
+geometric information:
+    tested              True if ridge is clearly convex
+    nonconvex           True if ridge is non-convex
+*/
+
+class QhullRidge {
+
+#//!\name Defined here
+public:
+    typedef ridgeT *   base_type;  // for QhullRidgeSet
+
+#//!\name Fields
+private:
+    ridgeT *            qh_ridge;  //!< Corresponding ridgeT, never 0
+    QhullQh *           qh_qh;     //!< QhullQh/qhT for ridgeT, may be 0
+
+#//!\name Class objects
+    static ridgeT       s_empty_ridge;
+
+public:
+#//!\name Constants
+
+#//!\name Constructors
+                        QhullRidge() : qh_ridge(&s_empty_ridge), qh_qh(0) {}
+    explicit            QhullRidge(const Qhull &q);
+                        QhullRidge(const Qhull &q, ridgeT *r);
+    explicit            QhullRidge(QhullQh *qqh) : qh_ridge(&s_empty_ridge), qh_qh(qqh) {}
+                        QhullRidge(QhullQh *qqh, ridgeT *r) : qh_ridge(r ? r : &s_empty_ridge), qh_qh(qqh) {}
+                        // Creates an alias.  Does not copy QhullRidge.  Needed for return by value and parameter passing
+                        QhullRidge(const QhullRidge &other) : qh_ridge(other.qh_ridge), qh_qh(other.qh_qh) {}
+                        // Creates an alias.  Does not copy QhullRidge.  Needed for vector<QhullRidge>
+    QhullRidge &        operator=(const QhullRidge &other) { qh_ridge= other.qh_ridge; qh_qh= other.qh_qh; return *this; }
+                        ~QhullRidge() {}
+
+#//!\name GetSet
+    QhullFacet          bottomFacet() const { return QhullFacet(qh_qh, qh_ridge->bottom); }
+    int                 dimension() const { return ((qh_qh && qh_qh->hull_dim) ? qh_qh->hull_dim-1 : 0); }
+    ridgeT *            getBaseT() const { return getRidgeT(); } //!< For QhullSet<QhullRidge>
+    ridgeT *            getRidgeT() const { return qh_ridge; }
+    countT              id() const { return qh_ridge->id; }
+    bool                isValid() const { return (qh_qh && qh_ridge != &s_empty_ridge); }
+    bool                operator==(const QhullRidge &other) const { return qh_ridge==other.qh_ridge; }
+    bool                operator!=(const QhullRidge &other) const { return !operator==(other); }
+    QhullFacet          otherFacet(const QhullFacet &f) const { return QhullFacet(qh_qh, (qh_ridge->top==f.getFacetT() ? qh_ridge->bottom : qh_ridge->top)); }
+    QhullFacet          topFacet() const { return QhullFacet(qh_qh, qh_ridge->top); }
+
+#//!\name foreach
+    bool                hasNextRidge3d(const QhullFacet &f) const;
+    QhullRidge          nextRidge3d(const QhullFacet &f) const { return nextRidge3d(f, 0); }
+    QhullRidge          nextRidge3d(const QhullFacet &f, QhullVertex *nextVertex) const;
+    QhullVertexSet      vertices() const { return QhullVertexSet(qh_qh, qh_ridge->vertices); }
+
+#//!\name IO
+
+    struct PrintRidge{
+        const QhullRidge *ridge;
+        const char *    print_message;    //!< non-null message
+                        PrintRidge(const char *message, const QhullRidge &r) : ridge(&r), print_message(message) {}
+    };//PrintRidge
+    PrintRidge          print(const char* message) const { return PrintRidge(message, *this); }
+};//class QhullRidge
+
+}//namespace orgQhull
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullRidge &r);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullRidge::PrintRidge &pr);
+
+#endif // QHULLRIDGE_H

deps_src/qhull/src/libqhullcpp/QhullSet.cpp

@@ -0,0 +1,62 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullSet.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullSet -- Qhull's set structure, setT, as a C++ class
+
+#include "libqhullcpp/QhullSet.h"
+
+#include "libqhullcpp/Qhull.h"
+#include "libqhullcpp/QhullError.h"
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Class objects
+
+setT QhullSetBase::
+s_empty_set;
+
+#//!\name Constructors
+
+QhullSetBase::
+QhullSetBase(const Qhull &q, setT *s) 
+: qh_set(s ? s : &s_empty_set)
+, qh_qh(q.qh())
+{
+}
+
+#//!\name Class methods
+
+// Same code for qh_setsize [qset_r.c] and QhullSetBase::count [static]
+countT QhullSetBase::
+count(const setT *set)
+{
+    countT size;
+    const setelemT *sizep;
+
+    if (!set){
+        return(0);
+    }
+    sizep= SETsizeaddr_(set);
+    if ((size= sizep->i)) {
+        size--;
+        if (size > set->maxsize) {
+            // FIXUP QH11022 How to add additional output to a error? -- qh_setprint(qhmem.ferr, "set: ", set);
+            throw QhullError(10032, "QhullSet internal error: current set size %d is greater than maximum size %d\n",
+                size, set->maxsize);
+        }
+    }else{
+        size= set->maxsize;
+    }
+    return size;
+}//count
+
+}//namespace orgQhull
+

deps_src/qhull/src/libqhullcpp/QhullSet.h

@@ -0,0 +1,462 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullSet.h#6 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QhullSet_H
+#define QhullSet_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullError.h"
+#include "libqhullcpp/QhullQh.h"
+
+#include <cstddef>  // ptrdiff_t, size_t
+
+#ifndef QHULL_NO_STL
+#include <vector>
+#endif
+
+#ifdef QHULL_USES_QT
+ #include <QtCore/QList>
+#endif
+
+namespace orgQhull {
+
+#//!\name Used here
+    class Qhull;
+
+#//!\name Defined here
+    class QhullSetBase;  //! Base class for QhullSet<T>
+    //! QhullSet<T> defined below
+    //! QhullSetIterator<T> defined below
+    //! \see QhullPointSet, QhullLinkedList<T>
+
+//! QhullSetBase is a wrapper for Qhull's setT of void* pointers
+//! \see libqhull_r/qset.h
+class QhullSetBase {
+
+private:
+#//!\name Fields --
+    setT *              qh_set;
+    QhullQh *           qh_qh;             //! Provides access to setT memory allocator
+
+#//!\name Class objects
+    static setT         s_empty_set;  //! Used if setT* is NULL
+
+public:
+#//!\name Constructors
+                        QhullSetBase(const Qhull &q, setT *s);
+                        QhullSetBase(QhullQh *qqh, setT *s) : qh_set(s ? s : &s_empty_set), qh_qh(qqh) {}
+                        //! Copy constructor copies the pointer but not the set.  Needed for return by value and parameter passing.
+                        QhullSetBase(const QhullSetBase &other) : qh_set(other.qh_set), qh_qh(other.qh_qh) {}
+    QhullSetBase &      operator=(const QhullSetBase &other) { qh_set= other.qh_set; qh_qh= other.qh_qh; return *this; }
+                        ~QhullSetBase() {}
+
+private:
+                        //!disabled since memory allocation for QhullSet not defined
+                        QhullSetBase() {}
+public:
+
+#//!\name GetSet
+    countT              count() const { return QhullSetBase::count(qh_set); }
+    void                defineAs(setT *s) { qh_set= s ? s : &s_empty_set; } //!< Not type-safe since setT may contain any type
+    void                forceEmpty() { qh_set= &s_empty_set; }
+    setT *              getSetT() const { return qh_set; }
+    bool                isEmpty() const { return SETempty_(qh_set); }
+    QhullQh *           qh() const { return qh_qh; }
+    setT **             referenceSetT() { return &qh_set; }
+    size_t              size() const { return QhullSetBase::count(qh_set); }
+
+#//!\name Element
+protected:
+    void **             beginPointer() const { return &qh_set->e[0].p; }
+    void **             elementPointer(countT idx) const { QHULL_ASSERT(idx>=0 && idx<qh_set->maxsize); return &SETelem_(qh_set, idx); }
+                        //! Always points to 0
+    void **             endPointer() const { return qh_setendpointer(qh_set); }
+
+#//!\name Class methods
+public:
+    static countT       count(const setT *set);
+    //s may be null
+    static bool         isEmpty(const setT *s) { return SETempty_(s); }
+};//QhullSetBase
+
+
+//! QhullSet<T> -- A read-only wrapper to Qhull's collection class, setT.
+//!  QhullSet is similar to STL's <vector> and Qt's QVector
+//!  QhullSet is unrelated to STL and Qt's set and map types (e.g., QSet and QMap)
+//!  T is a Qhull type that defines 'base_type' and getBaseT() (e.g., QhullFacet with base_type 'facetT *'
+//!  A QhullSet does not own its contents -- erase(), clear(), removeFirst(), removeLast(), pop_back(), pop_front(), fromStdList() not defined
+//!  QhullSetIterator is faster than STL-style iterator/const_iterator
+//!  Qhull's FOREACHelement_() [qset_r.h] maybe more efficient than QhullSet.  It uses a NULL terminator instead of an end pointer.  STL requires an end pointer.
+//!  Derived from QhullLinkedList.h and Qt/core/tools/qlist.h w/o QT_STRICT_ITERATORS
+template <typename T>
+class QhullSet : public QhullSetBase {
+
+private:
+#//!\name Fields -- see QhullSetBase
+
+#//!\name Class objects
+    static setT         s_empty_set;  //! Workaround for no setT allocator.  Used if setT* is NULL
+
+public:
+#//!\name Defined here
+    class iterator;
+    class const_iterator;
+    typedef typename QhullSet<T>::iterator Iterator;
+    typedef typename QhullSet<T>::const_iterator ConstIterator;
+
+#//!\name Constructors
+                        QhullSet<T>(const Qhull &q, setT *s) : QhullSetBase(q, s) { }
+                        QhullSet<T>(QhullQh *qqh, setT *s) : QhullSetBase(qqh, s) { }
+                        //Conversion from setT* is not type-safe.  Implicit conversion for void* to T
+                        //Copy constructor copies pointer but not contents.  Needed for return by value.
+                        QhullSet<T>(const QhullSet<T> &other) : QhullSetBase(other) {}
+    QhullSet<T> &       operator=(const QhullSet<T> &other) { QhullSetBase::operator=(other); return *this; }
+                        ~QhullSet<T>() {}
+
+private:
+                        //!Disable default constructor.  See QhullSetBase
+                        QhullSet<T>();
+public:
+
+#//!\name Conversion
+
+#ifndef QHULL_NO_STL
+    std::vector<T> toStdVector() const;
+#endif
+#ifdef QHULL_USES_QT
+    QList<typename T> toQList() const;
+#endif
+
+#//!\name GetSet -- see QhullSetBase for count(), empty(), isEmpty(), size()
+    using QhullSetBase::count;
+    using QhullSetBase::isEmpty;
+    // operator== defined for QhullSets of the same type
+    bool                operator==(const QhullSet<T> &other) const { return qh_setequal(getSetT(), other.getSetT()); }
+    bool                operator!=(const QhullSet<T> &other) const { return !operator==(other); }
+
+#//!\name Element access
+    // Constructs T.  Cannot return reference.
+    const T             at(countT idx) const { return operator[](idx); }
+    // Constructs T.  Cannot return reference.
+    const T             back() const { return last(); }
+    T                   back() { return last(); }
+    //! end element is NULL
+    const typename T::base_type * constData() const { return reinterpret_cast<const typename T::base_type *>(beginPointer()); }
+    typename T::base_type *     data() { return reinterpret_cast<typename T::base_type *>(beginPointer()); }
+    const typename T::base_type *data() const { return reinterpret_cast<const typename T::base_type *>(beginPointer()); }
+    typename T::base_type *     endData() { return reinterpret_cast<typename T::base_type *>(endPointer()); }
+    const typename T::base_type * endData() const { return reinterpret_cast<const typename T::base_type *>(endPointer()); }
+    // Constructs T.  Cannot return reference.
+    const T             first() const { QHULL_ASSERT(!isEmpty()); return T(qh(), *data()); }
+    T                   first() { QHULL_ASSERT(!isEmpty()); return T(qh(), *data()); }
+    // Constructs T.  Cannot return reference.
+    const T             front() const { return first(); }
+    T                   front() { return first(); }
+    // Constructs T.  Cannot return reference.
+    const T             last() const { QHULL_ASSERT(!isEmpty()); return T(qh(), *(endData()-1)); }
+    T                   last() { QHULL_ASSERT(!isEmpty()); return T(qh(), *(endData()-1)); }
+    // mid() not available.  No setT constructor
+    // Constructs T.  Cannot return reference.
+    const T             operator[](countT idx) const { const typename T::base_type *p= reinterpret_cast<typename T::base_type *>(elementPointer(idx)); QHULL_ASSERT(idx>=0 && p < endData()); return T(qh(), *p); }
+    T                   operator[](countT idx) { typename T::base_type *p= reinterpret_cast<typename T::base_type *>(elementPointer(idx)); QHULL_ASSERT(idx>=0 && p < endData()); return T(qh(), *p); }
+    const T             second() const { return operator[](1); }
+    T                   second() { return operator[](1); }
+    T                   value(countT idx) const;
+    T                   value(countT idx, const T &defaultValue) const;
+
+#//!\name Read-write -- Not available, no setT constructor
+
+#//!\name iterator
+    iterator            begin() { return iterator(qh(), reinterpret_cast<typename T::base_type *>(beginPointer())); }
+    const_iterator      begin() const { return const_iterator(qh(), data()); }
+    const_iterator      constBegin() const { return const_iterator(qh(), data()); }
+    const_iterator      constEnd() const { return const_iterator(qh(), endData()); }
+    iterator            end() { return iterator(qh(), endData()); }
+    const_iterator      end() const { return const_iterator(qh(), endData()); }
+
+#//!\name Search
+    bool                contains(const T &t) const;
+    countT              count(const T &t) const;
+    countT              indexOf(const T &t) const { /* no qh_qh */ return qh_setindex(getSetT(), t.getBaseT()); }
+    countT              lastIndexOf(const T &t) const;
+
+    // before const_iterator for conversion with comparison operators
+    class iterator {
+        friend class const_iterator;
+    private:
+        typename T::base_type *  i;  // e.g., facetT**, first for debugger
+        QhullQh *       qh_qh;
+
+    public:
+        typedef ptrdiff_t       difference_type;
+        typedef std::bidirectional_iterator_tag  iterator_category;
+        typedef T               value_type;
+
+                        iterator(QhullQh *qqh, typename T::base_type *p) : i(p), qh_qh(qqh) {}
+                        iterator(const iterator &o) : i(o.i), qh_qh(o.qh_qh) {}
+        iterator &      operator=(const iterator &o) { i= o.i; qh_qh= o.qh_qh; return *this; }
+
+        // Constructs T.  Cannot return reference.  
+        T               operator*() const { return T(qh_qh, *i); }
+        //operator->() n/a, value-type
+        // Constructs T.  Cannot return reference.  
+        T               operator[](countT idx) const { return T(qh_qh, *(i+idx)); } //!< No error checking
+        bool            operator==(const iterator &o) const { return i == o.i; }
+        bool            operator!=(const iterator &o) const { return !operator==(o); }
+        bool            operator==(const const_iterator &o) const { return (i==reinterpret_cast<const iterator &>(o).i); }
+        bool            operator!=(const const_iterator &o) const { return !operator==(o); }
+
+        //! Assumes same point set
+        countT          operator-(const iterator &o) const { return (countT)(i-o.i); } //WARN64
+        bool            operator>(const iterator &o) const { return i>o.i; }
+        bool            operator<=(const iterator &o) const { return !operator>(o); }
+        bool            operator<(const iterator &o) const { return i<o.i; }
+        bool            operator>=(const iterator &o) const { return !operator<(o); }
+        bool            operator>(const const_iterator &o) const { return (i > reinterpret_cast<const iterator &>(o).i); }
+        bool            operator<=(const const_iterator &o) const { return !operator>(o); }
+        bool            operator<(const const_iterator &o) const { return (i < reinterpret_cast<const iterator &>(o).i); }
+        bool            operator>=(const const_iterator &o) const { return !operator<(o); }
+
+        //! No error checking
+        iterator &      operator++() { ++i; return *this; }
+        iterator        operator++(int) { iterator o= *this; ++i; return o; }
+        iterator &      operator--() { --i; return *this; }
+        iterator        operator--(int) { iterator o= *this; --i; return o; }
+        iterator        operator+(countT j) const { return iterator(qh_qh, i+j); }
+        iterator        operator-(countT j) const { return operator+(-j); }
+        iterator &      operator+=(countT j) { i += j; return *this; }
+        iterator &      operator-=(countT j) { i -= j; return *this; }
+    };//QhullPointSet::iterator
+
+    class const_iterator {
+    private:
+        const typename T::base_type *  i;  // e.g., const facetT**, first for debugger
+        QhullQh *       qh_qh;
+
+    public:
+        typedef ptrdiff_t       difference_type;
+        typedef std::random_access_iterator_tag  iterator_category;
+        typedef T               value_type;
+
+                        const_iterator(QhullQh *qqh, const typename T::base_type * p) : i(p), qh_qh(qqh) {}
+                        const_iterator(const const_iterator &o) : i(o.i), qh_qh(o.qh_qh) {}
+                        const_iterator(const iterator &o) : i(o.i), qh_qh(o.qh_qh) {}
+        const_iterator &operator=(const const_iterator &o) { i= o.i; qh_qh= o.qh_qh; return *this; }
+
+        // Constructs T.  Cannot return reference.  Retaining 'const T' return type for consistency with QList/QVector
+        const T         operator*() const { return T(qh_qh, *i); }
+        const T         operator[](countT idx) const { return T(qh_qh, *(i+idx)); }  //!< No error checking
+        //operator->() n/a, value-type
+        bool            operator==(const const_iterator &o) const { return i == o.i; }
+        bool            operator!=(const const_iterator &o) const { return !operator==(o); }
+
+        //! Assumes same point set
+        countT          operator-(const const_iterator &o) { return (countT)(i-o.i); } //WARN64
+        bool            operator>(const const_iterator &o) const { return i>o.i; }
+        bool            operator<=(const const_iterator &o) const { return !operator>(o); }
+        bool            operator<(const const_iterator &o) const { return i<o.i; }
+        bool            operator>=(const const_iterator &o) const { return !operator<(o); }
+
+        //!< No error checking
+        const_iterator &operator++() { ++i; return *this; }
+        const_iterator  operator++(int) { const_iterator o= *this; ++i; return o; }
+        const_iterator &operator--() { --i; return *this; }
+        const_iterator  operator--(int) { const_iterator o= *this; --i; return o; }
+        const_iterator  operator+(int j) const { return const_iterator(qh_qh, i+j); }
+        const_iterator  operator-(int j) const { return operator+(-j); }
+        const_iterator &operator+=(int j) { i += j; return *this; }
+        const_iterator &operator-=(int j) { i -= j; return *this; }
+    };//QhullPointSet::const_iterator
+
+};//class QhullSet
+
+
+//! Faster then interator/const_iterator due to T::base_type
+template <typename T>
+class QhullSetIterator {
+
+#//!\name Subtypes
+    typedef typename QhullSet<T>::const_iterator const_iterator;
+
+private:
+#//!\name Fields
+    const typename T::base_type *  i;  // e.g., facetT**, first for debugger
+    const typename T::base_type *  begin_i;  // must be initialized after i
+    const typename T::base_type *  end_i;
+    QhullQh *                qh_qh;
+
+public:
+#//!\name Constructors
+                        QhullSetIterator<T>(const QhullSet<T> &s) : i(s.data()), begin_i(i), end_i(s.endData()), qh_qh(s.qh()) {}
+                        QhullSetIterator<T>(const QhullSetIterator<T> &o) : i(o.i), begin_i(o.begin_i), end_i(o.end_i), qh_qh(o.qh_qh) {}
+    QhullSetIterator<T> &operator=(const QhullSetIterator<T> &o) { i= o.i; begin_i= o.begin_i; end_i= o.end_i; qh_qh= o.qh_qh; return *this; }
+
+#//!\name ReadOnly
+    countT              countRemaining() { return (countT)(end_i-i); } // WARN64
+
+#//!\name Search
+    bool                findNext(const T &t);
+    bool                findPrevious(const T &t);
+
+#//!\name Foreach
+    bool                hasNext() const { return i != end_i; }
+    bool                hasPrevious() const { return i != begin_i; }
+    T                   next() { return T(qh_qh, *i++); }
+    T                   peekNext() const { return T(qh_qh, *i); }
+    T                   peekPrevious() const { const typename T::base_type *p = i; return T(qh_qh, *--p); }
+    T                   previous() { return T(qh_qh, *--i); }
+    void                toBack() { i = end_i; }
+    void                toFront() { i = begin_i; }
+};//class QhullSetIterator
+
+#//!\name == Definitions =========================================
+
+#//!\name Conversions
+
+// See qt-qhull.cpp for QList conversion
+
+#ifndef QHULL_NO_STL
+template <typename T>
+std::vector<T> QhullSet<T>::
+toStdVector() const
+{
+	typename QhullSet<T>::const_iterator i = begin();
+	typename QhullSet<T>::const_iterator e = end();
+    std::vector<T> vs;
+    while(i!=e){
+        vs.push_back(*i++);
+    }
+    return vs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+#ifdef QHULL_USES_QT
+template <typename T>
+QList<T> QhullSet<T>::
+toQList() const
+{
+    QhullSet<T>::const_iterator i= begin();
+    QhullSet<T>::const_iterator e= end();
+    QList<T> vs;
+    while(i!=e){
+        vs.append(*i++);
+    }
+    return vs;
+}//toQList
+#endif
+
+#//!\name Element
+
+template <typename T>
+T QhullSet<T>::
+value(countT idx) const
+{
+    // Avoid call to qh_setsize() and assert in elementPointer()
+    const typename T::base_type *p= reinterpret_cast<const typename T::base_type *>(&SETelem_(getSetT(), idx));
+    return (idx>=0 && p<endData()) ? T(qh(), *p) : T(qh());
+}//value
+
+template <typename T>
+T QhullSet<T>::
+value(countT idx, const T &defaultValue) const
+{
+    // Avoid call to qh_setsize() and assert in elementPointer()
+    const typename T::base_type *p= reinterpret_cast<const typename T::base_type *>(&SETelem_(getSetT(), idx));
+    return (idx>=0 && p<endData() ? T(qh(), *p) : defaultValue);
+}//value
+
+#//!\name Search
+
+template <typename T>
+bool QhullSet<T>::
+contains(const T &t) const
+{
+    setT *s= getSetT();
+    void *p= t.getBaseT();  // contains() is not inline for better error reporting
+    int result= qh_setin(s, p);
+    return result!=0;
+}//contains
+
+template <typename T>
+countT QhullSet<T>::
+count(const T &t) const
+{
+    countT n= 0;
+    const typename T::base_type *i= data();
+    const typename T::base_type *e= endData();
+    typename T::base_type p= t.getBaseT();
+    while(i<e){
+        if(*i==p){
+            n++;
+        }
+        i++;
+    }
+    return n;
+}//count
+
+template <typename T>
+countT QhullSet<T>::
+lastIndexOf(const T &t) const
+{
+    const typename T::base_type *b= data();
+    const typename T::base_type *i= endData();
+    typename T::base_type p= t.getBaseT();
+    while(--i>=b){
+        if(*i==p){
+            break;
+        }
+    }
+    return (countT)(i-b); // WARN64
+}//lastIndexOf
+
+#//!\name QhullSetIterator
+
+template <typename T>
+bool QhullSetIterator<T>::
+findNext(const T &t)
+{
+    typename T::base_type p= t.getBaseT();
+    while(i!=end_i){
+        if(*(++i)==p){
+            return true;
+        }
+    }
+    return false;
+}//findNext
+
+template <typename T>
+bool QhullSetIterator<T>::
+findPrevious(const T &t)
+{
+    typename T::base_type p= t.getBaseT();
+    while(i!=begin_i){
+        if(*(--i)==p){
+            return true;
+        }
+    }
+    return false;
+}//findPrevious
+
+}//namespace orgQhull
+
+
+#//!\name == Global namespace =========================================
+
+template <typename T>
+std::ostream &
+operator<<(std::ostream &os, const orgQhull::QhullSet<T> &qs)
+{
+    const typename T::base_type *i= qs.data();
+    const typename T::base_type *e= qs.endData();
+    while(i!=e){
+        os << T(qs.qh(), *i++);
+    }
+    return os;
+}//operator<<
+
+#endif // QhullSet_H

deps_src/qhull/src/libqhullcpp/QhullSets.h

@@ -0,0 +1,27 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullSets.h#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLSETS_H
+#define QHULLSETS_H
+
+#include "libqhullcpp/QhullSet.h"
+
+namespace orgQhull {
+
+    //See: QhullFacetSet.h
+    //See: QhullPointSet.h
+    //See: QhullVertexSet.h
+
+    // Avoid circular references between QhullFacet, QhullRidge, and QhullVertex
+    class QhullRidge;
+    typedef QhullSet<QhullRidge>  QhullRidgeSet;
+    typedef QhullSetIterator<QhullRidge>  QhullRidgeSetIterator;
+
+}//namespace orgQhull
+
+#endif // QHULLSETS_H

deps_src/qhull/src/libqhullcpp/QhullStat.cpp

@@ -0,0 +1,42 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullStat.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullStat -- Qhull's global data structure, statT, as a C++ class
+
+#include "libqhullcpp/QhullStat.h"
+
+#include "libqhullcpp/QhullError.h"
+
+#include <sstream>
+#include <iostream>
+
+using std::cerr;
+using std::string;
+using std::vector;
+using std::ostream;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Constructor, destructor, etc.
+
+//! If qh_QHpointer==0, invoke with placement new on qh_stat;
+QhullStat::
+QhullStat()
+{
+}//QhullStat
+
+QhullStat::
+~QhullStat()
+{
+}//~QhullStat
+
+}//namespace orgQhull
+

deps_src/qhull/src/libqhullcpp/QhullStat.h

@@ -0,0 +1,49 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullStat.h#2 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLSTAT_H
+#define QHULLSTAT_H
+
+#include "libqhull_r/qhull_ra.h"
+
+#include <string>
+#include <vector>
+
+namespace orgQhull {
+
+#//!\name defined here
+    //! QhullStat -- Qhull's statistics, qhstatT, as a C++ class
+    //! Statistics defined with zzdef_() control Qhull's behavior, summarize its result, and report precision problems.
+    class QhullStat;
+
+class QhullStat : public qhstatT {
+
+private:
+#//!\name Fields (empty) -- POD type equivalent to qhstatT.  No data or virtual members
+
+public:
+#//!\name Constants
+
+#//!\name class methods
+
+#//!\name constructor, assignment, destructor, invariant
+                        QhullStat();
+                        ~QhullStat();
+
+private:
+    //!disable copy constructor and assignment
+                        QhullStat(const QhullStat &);
+    QhullStat &         operator=(const QhullStat &);
+public:
+
+#//!\name Access
+};//class QhullStat
+
+}//namespace orgQhull
+
+#endif // QHULLSTAT_H

deps_src/qhull/src/libqhullcpp/QhullVertex.cpp

@@ -0,0 +1,112 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullVertex.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullVertex -- Qhull's vertex structure, vertexT, as a C++ class
+
+#include "libqhullcpp/QhullVertex.h"
+
+#include "libqhullcpp/Qhull.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullFacetSet.h"
+#include "libqhullcpp/QhullFacet.h"
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  // interaction between '_setjmp' and C++ object destruction is non-portable
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//!\name Class objects
+vertexT QhullVertex::
+s_empty_vertex= {0,0,0,0,0,
+                 0,0,0,0,0,
+                 0};
+
+#//!\name Constructors
+
+QhullVertex::QhullVertex(const Qhull &q)
+: qh_vertex(&s_empty_vertex)
+, qh_qh(q.qh())
+{
+}//Default
+
+QhullVertex::QhullVertex(const Qhull &q, vertexT *v)
+: qh_vertex(v ? v : &s_empty_vertex)
+, qh_qh(q.qh())
+{
+}//vertexT
+
+#//!\name foreach
+
+//! Return neighboring facets for a vertex
+//! If neither merging nor Voronoi diagram, requires Qhull::defineVertexNeighborFacets() beforehand.
+QhullFacetSet QhullVertex::
+neighborFacets() const
+{
+    if(!neighborFacetsDefined()){
+        throw QhullError(10034, "Qhull error: neighboring facets of vertex %d not defined.  Please call Qhull::defineVertexNeighborFacets() beforehand.", id());
+    }
+    return QhullFacetSet(qh_qh, qh_vertex->neighbors);
+}//neighborFacets
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+using std::string;
+using std::vector;
+using orgQhull::QhullPoint;
+using orgQhull::QhullFacet;
+using orgQhull::QhullFacetSet;
+using orgQhull::QhullFacetSetIterator;
+using orgQhull::QhullVertex;
+
+//! Duplicate of qh_printvertex [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullVertex::PrintVertex &pr)
+{
+    QhullVertex v= *pr.vertex;
+    QhullPoint p= v.point();
+    if(*pr.print_message){
+        os << pr.print_message << " ";
+    }else{
+        os << "- ";
+    }
+    os << "p" << p.id() << " (v" << v.id() << "): ";
+    const realT *c= p.coordinates();
+    for(int k= p.dimension(); k--; ){
+        os << " " << *c++; // FIXUP QH11010 %5.2g
+    }
+    if(v.getVertexT()->deleted){
+        os << " deleted";
+    }
+    if(v.getVertexT()->delridge){
+        os << " ridgedeleted";
+    }
+    os << endl;
+    if(v.neighborFacetsDefined()){
+        QhullFacetSetIterator i= v.neighborFacets();
+        if(i.hasNext()){
+            os << " neighborFacets:";
+            countT count= 0;
+            while(i.hasNext()){
+                if(++count % 100 == 0){
+                    os << endl << "     ";
+                }
+                QhullFacet f= i.next();
+                os << " f" << f.id();
+            }
+            os << endl;
+        }
+    }
+    return os;
+}//<< PrintVertex
+

deps_src/qhull/src/libqhullcpp/QhullVertex.h

@@ -0,0 +1,104 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullVertex.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLVERTEX_H
+#define QHULLVERTEX_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullLinkedList.h"
+#include "libqhullcpp/QhullSet.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+    class QhullFacetSet;
+
+#//!\name Defined here
+    //! QhullVertex -- Qhull's vertex structure, vertexT [libqhull_r.h], as a C++ class
+    class QhullVertex;
+    typedef QhullLinkedList<QhullVertex> QhullVertexList;
+    typedef QhullLinkedListIterator<QhullVertex> QhullVertexListIterator;
+
+
+/*********************
+  topological information:
+    next,previous       doubly-linked list of all vertices
+    neighborFacets           set of adjacent facets (only if qh.VERTEXneighbors)
+
+  geometric information:
+    point               array of DIM coordinates
+*/
+
+class QhullVertex {
+
+#//!\name Defined here
+public:
+    typedef vertexT *   base_type;  // for QhullVertexSet
+
+private:
+#//!\name Fields
+    vertexT *           qh_vertex;  //!< Corresponding vertexT, never 0
+    QhullQh *           qh_qh;      //!< QhullQh/qhT for vertexT, may be 0
+
+#//!\name Class objects
+    static vertexT      s_empty_vertex;  // needed for shallow copy
+
+public:
+#//!\name Constants
+
+#//!\name Constructors
+                        QhullVertex() : qh_vertex(&s_empty_vertex), qh_qh(0) {}
+    explicit            QhullVertex(const Qhull &q);
+                        QhullVertex(const Qhull &q, vertexT *v);
+    explicit            QhullVertex(QhullQh *qqh) : qh_vertex(&s_empty_vertex), qh_qh(qqh) {}
+                        QhullVertex(QhullQh *qqh, vertexT *v) : qh_vertex(v ? v : &s_empty_vertex), qh_qh(qqh) {}
+                        // Creates an alias.  Does not copy QhullVertex.  Needed for return by value and parameter passing
+                        QhullVertex(const QhullVertex &other) : qh_vertex(other.qh_vertex), qh_qh(other.qh_qh) {}
+                        // Creates an alias.  Does not copy QhullVertex.  Needed for vector<QhullVertex>
+    QhullVertex &       operator=(const QhullVertex &other) { qh_vertex= other.qh_vertex; qh_qh= other.qh_qh; return *this; }
+                        ~QhullVertex() {}
+
+#//!\name GetSet
+    int                 dimension() const { return (qh_qh ? qh_qh->hull_dim : 0); }
+    vertexT *           getBaseT() const { return getVertexT(); } //!< For QhullSet<QhullVertex>
+    vertexT *           getVertexT() const { return qh_vertex; }
+    countT              id() const { return qh_vertex->id; }
+    bool                isValid() const { return (qh_qh && qh_vertex != &s_empty_vertex); }
+                        //! True if defineVertexNeighborFacets() already called.  Auotomatically set for facet merging, Voronoi diagrams
+    bool                neighborFacetsDefined() const { return qh_vertex->neighbors != 0; }
+    QhullVertex         next() const { return QhullVertex(qh_qh, qh_vertex->next); }
+    bool                operator==(const QhullVertex &other) const { return qh_vertex==other.qh_vertex; }
+    bool                operator!=(const QhullVertex &other) const { return !operator==(other); }
+    QhullPoint          point() const { return QhullPoint(qh_qh, qh_vertex->point); }
+    QhullVertex         previous() const { return QhullVertex(qh_qh, qh_vertex->previous); }
+    QhullQh *           qh() const { return qh_qh; }
+
+#//!\name foreach
+    //See also QhullVertexList
+    QhullFacetSet       neighborFacets() const;
+
+#//!\name IO
+    struct PrintVertex{
+        const QhullVertex *vertex;
+        const char *    print_message;    //!< non-null message
+                        PrintVertex(const char *message, const QhullVertex &v) : vertex(&v), print_message(message) {}
+    };//PrintVertex
+    PrintVertex         print(const char *message) const { return PrintVertex(message, *this); }
+};//class QhullVertex
+
+}//namespace orgQhull
+
+#//!\name GLobal
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullVertex::PrintVertex &pr);
+inline std::ostream &operator<<(std::ostream &os, const orgQhull::QhullVertex &v) { os << v.print(""); return os; }
+
+#endif // QHULLVERTEX_H

deps_src/qhull/src/libqhullcpp/QhullVertexSet.cpp

@@ -0,0 +1,161 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullVertexSet.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! QhullVertexSet -- Qhull's linked Vertexs, as a C++ class
+
+#include "libqhullcpp/QhullVertexSet.h"
+
+#include "libqhullcpp/QhullVertex.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/QhullRidge.h"
+#include "libqhullcpp/QhullVertex.h"
+#include "libqhullcpp/Qhull.h"
+
+using std::string;
+using std::vector;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4611)  /* interaction between '_setjmp' and C++ object destruction is non-portable */
+                                    /* setjmp should not be implemented with 'catch' */
+#endif
+
+namespace orgQhull {
+
+QhullVertexSet::
+QhullVertexSet(const Qhull &q, facetT *facetlist, setT *facetset, bool allfacets)
+: QhullSet<QhullVertex>(q.qh(), 0)
+, qhsettemp_defined(false)
+{
+    QH_TRY_(q.qh()){ // no object creation -- destructors skipped on longjmp()
+        setT *vertices= qh_facetvertices(q.qh(), facetlist, facetset, allfacets);
+        defineAs(vertices);
+        qhsettemp_defined= true;
+    }
+    q.qh()->NOerrexit= true;
+    q.qh()->maybeThrowQhullMessage(QH_TRY_status);
+}//QhullVertexSet facetlist facetset
+
+//! Return tempory QhullVertexSet of vertices for a list and/or a set of facets
+//! Sets qhsettemp_defined (disallows copy constructor and assignment to prevent double-free)
+QhullVertexSet::
+QhullVertexSet(QhullQh *qqh, facetT *facetlist, setT *facetset, bool allfacets)
+: QhullSet<QhullVertex>(qqh, 0)
+, qhsettemp_defined(false)
+{
+    QH_TRY_(qh()){ // no object creation -- destructors skipped on longjmp()
+        setT *vertices= qh_facetvertices(qh(), facetlist, facetset, allfacets);
+        defineAs(vertices);
+        qhsettemp_defined= true;
+    }
+    qh()->NOerrexit= true;
+    qh()->maybeThrowQhullMessage(QH_TRY_status);
+}//QhullVertexSet facetlist facetset
+
+//! Copy constructor for argument passing and returning a result
+//! Only copies a pointer to the set.
+//! Throws an error if qhsettemp_defined, otherwise have a double-free
+//!\todo Convert QhullVertexSet to a shared pointer with reference counting
+QhullVertexSet::
+QhullVertexSet(const QhullVertexSet &other)
+: QhullSet<QhullVertex>(other)
+, qhsettemp_defined(false)
+{
+    if(other.qhsettemp_defined){
+        throw QhullError(10077, "QhullVertexSet: Cannot use copy constructor since qhsettemp_defined (e.g., QhullVertexSet for a set and/or list of QhFacet).  Contains %d vertices", other.count());
+    }
+}//copy constructor
+
+//! Copy assignment only copies a pointer to the set.
+//! Throws an error if qhsettemp_defined, otherwise have a double-free
+QhullVertexSet & QhullVertexSet::
+operator=(const QhullVertexSet &other)
+{
+    QhullSet<QhullVertex>::operator=(other);
+    qhsettemp_defined= false;
+    if(other.qhsettemp_defined){
+        throw QhullError(10078, "QhullVertexSet: Cannot use copy constructor since qhsettemp_defined (e.g., QhullVertexSet for a set and/or list of QhFacet).  Contains %d vertices", other.count());
+    }
+    return *this;
+}//assignment
+
+void QhullVertexSet::
+freeQhSetTemp()
+{
+    if(qhsettemp_defined){
+        qhsettemp_defined= false;
+        QH_TRY_(qh()){ // no object creation -- destructors skipped on longjmp()
+            qh_settempfree(qh(), referenceSetT()); // errors if not top of tempstack or if qhmem corrupted
+        }
+        qh()->NOerrexit= true;
+        qh()->maybeThrowQhullMessage(QH_TRY_status, QhullError::NOthrow);
+    }
+}//freeQhSetTemp
+
+QhullVertexSet::
+~QhullVertexSet()
+{
+    freeQhSetTemp();
+}//~QhullVertexSet
+
+//FIXUP -- Move conditional, QhullVertexSet code to QhullVertexSet.cpp
+#ifndef QHULL_NO_STL
+std::vector<QhullVertex> QhullVertexSet::
+toStdVector() const
+{
+    QhullSetIterator<QhullVertex> i(*this);
+    std::vector<QhullVertex> vs;
+    while(i.hasNext()){
+        QhullVertex v= i.next();
+        vs.push_back(v);
+    }
+    return vs;
+}//toStdVector
+#endif //QHULL_NO_STL
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+using std::endl;
+using std::ostream;
+using orgQhull::QhullPoint;
+using orgQhull::QhullVertex;
+using orgQhull::QhullVertexSet;
+using orgQhull::QhullVertexSetIterator;
+
+//! Print Vertex identifiers to stream.  Space prefix.  From qh_printVertexheader [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullVertexSet::PrintIdentifiers &pr)
+{
+    os << pr.print_message;
+    for(QhullVertexSet::const_iterator i= pr.vertex_set->begin(); i!=pr.vertex_set->end(); ++i){
+        const QhullVertex v= *i;
+        os << " v" << v.id();
+    }
+    os << endl;
+    return os;
+}//<<QhullVertexSet::PrintIdentifiers
+
+//! Duplicate of printvertices [io_r.c]
+ostream &
+operator<<(ostream &os, const QhullVertexSet::PrintVertexSet &pr){
+
+    os << pr.print_message;
+    const QhullVertexSet *vs= pr.vertex_set;
+    QhullVertexSetIterator i= *vs;
+    while(i.hasNext()){
+        const QhullVertex v= i.next();
+        const QhullPoint p= v.point();
+        os << " p" << p.id() << "(v" << v.id() << ")";
+    }
+    os << endl;
+
+    return os;
+}//<< PrintVertexSet
+
+

deps_src/qhull/src/libqhullcpp/QhullVertexSet.h

@@ -0,0 +1,86 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/QhullVertexSet.h#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHULLVERTEXSET_H
+#define QHULLVERTEXSET_H
+
+#include "libqhullcpp/QhullSet.h"
+#include "libqhullcpp/QhullVertex.h"
+
+#include <ostream>
+
+namespace orgQhull {
+
+#//!\name Used here
+
+#//!\name Defined here
+    //! QhullVertexSet -- a set of Qhull Vertices, as a C++ class.
+    //! See Qhull
+    class QhullVertexSet;
+    typedef QhullSetIterator<QhullVertex> QhullVertexSetIterator;
+
+class QhullVertexSet : public QhullSet<QhullVertex> {
+
+private:
+#//!\name Fields
+    bool                qhsettemp_defined;  //! Set was allocated with qh_settemp()
+
+public:
+#//!\name Constructor
+                        QhullVertexSet(const Qhull &q, setT *s) : QhullSet<QhullVertex>(q, s), qhsettemp_defined(false) {}
+                        QhullVertexSet(const Qhull &q, facetT *facetlist, setT *facetset, bool allfacets);
+                        //Conversion from setT* is not type-safe.  Implicit conversion for void* to T
+                        QhullVertexSet(QhullQh *qqh, setT *s) : QhullSet<QhullVertex>(qqh, s), qhsettemp_defined(false) {}
+                        QhullVertexSet(QhullQh *qqh, facetT *facetlist, setT *facetset, bool allfacets);
+                        //Copy constructor and assignment copies pointer but not contents.  Throws error if qhsettemp_defined.  Needed for return by value.
+                        QhullVertexSet(const QhullVertexSet &other);
+    QhullVertexSet &    operator=(const QhullVertexSet &other);
+                        ~QhullVertexSet();
+
+private:                //!Default constructor disabled.  Will implement allocation later
+                        QhullVertexSet();
+public:
+
+#//!\name Destructor
+    void                freeQhSetTemp();
+
+#//!\name Conversion
+#ifndef QHULL_NO_STL
+    std::vector<QhullVertex> toStdVector() const;
+#endif //QHULL_NO_STL
+#ifdef QHULL_USES_QT
+    QList<QhullVertex>   toQList() const;
+#endif //QHULL_USES_QT
+
+#//!\name IO
+    struct PrintVertexSet{
+        const QhullVertexSet *vertex_set;
+        const char *    print_message;     //!< non-null message
+                        
+                        PrintVertexSet(const char *message, const QhullVertexSet *s) : vertex_set(s), print_message(message) {}
+    };//PrintVertexSet
+    const PrintVertexSet print(const char *message) const { return PrintVertexSet(message, this); }
+
+    struct PrintIdentifiers{
+        const QhullVertexSet *vertex_set;
+        const char *    print_message;    //!< non-null message
+                        PrintIdentifiers(const char *message, const QhullVertexSet *s) : vertex_set(s), print_message(message) {}
+    };//PrintIdentifiers
+    PrintIdentifiers    printIdentifiers(const char *message) const { return PrintIdentifiers(message, this); }
+
+};//class QhullVertexSet
+
+}//namespace orgQhull
+
+#//!\name Global
+
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullVertexSet::PrintVertexSet &pr);
+std::ostream &operator<<(std::ostream &os, const orgQhull::QhullVertexSet::PrintIdentifiers &p);
+inline std::ostream &operator<<(std::ostream &os, const orgQhull::QhullVertexSet &vs) { os << vs.print(""); return os; }
+
+#endif // QHULLVERTEXSET_H

deps_src/qhull/src/libqhullcpp/RboxPoints.cpp

@@ -0,0 +1,224 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/RboxPoints.cpp#3 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include "libqhullcpp/RboxPoints.h"
+
+#include "libqhullcpp/QhullError.h"
+
+#include <iostream>
+
+using std::cerr;
+using std::endl;
+using std::istream;
+using std::ostream;
+using std::ostringstream;
+using std::string;
+using std::vector;
+using std::ws;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#pragma warning( disable : 4996)  // function was declared deprecated(strcpy, localtime, etc.)
+#endif
+
+namespace orgQhull {
+
+#//! RboxPoints -- generate random PointCoordinates for qhull (rbox)
+
+
+#//!\name Constructors
+RboxPoints::
+RboxPoints()
+: PointCoordinates("rbox")
+, rbox_new_count(0)
+, rbox_status(qh_ERRnone)
+, rbox_message()
+{
+    allocateQhullQh();
+}
+
+//! Allocate and generate points according to rboxCommand
+//! For rbox commands, see http://www.qhull.org/html/rbox.htm or html/rbox.htm
+//! Same as appendPoints()
+RboxPoints::
+RboxPoints(const char *rboxCommand)
+: PointCoordinates("rbox")
+, rbox_new_count(0)
+, rbox_status(qh_ERRnone)
+, rbox_message()
+{
+    allocateQhullQh();
+    // rbox arguments added to comment() via qh_rboxpoints > qh_fprintf_rbox
+    appendPoints(rboxCommand);
+}
+
+RboxPoints::
+~RboxPoints()
+{
+    delete qh();
+    resetQhullQh(0);
+}
+
+// RboxPoints and qh_rboxpoints has several fields in qhT (rbox_errexit..cpp_object)
+// It shares last_random with qh_rand and qh_srand
+// The other fields are unused
+void RboxPoints::
+allocateQhullQh()
+{
+    QHULL_LIB_CHECK /* Check for compatible library */
+    resetQhullQh(new QhullQh);
+}//allocateQhullQh
+
+#//!\name Messaging
+
+void RboxPoints::
+clearRboxMessage()
+{
+    rbox_status= qh_ERRnone;
+    rbox_message.clear();
+}//clearRboxMessage
+
+std::string RboxPoints::
+rboxMessage() const
+{
+    if(rbox_status!=qh_ERRnone){
+        return rbox_message;
+    }
+    if(isEmpty()){
+        return "rbox warning: no points generated\n";
+    }
+    return "rbox: OK\n";
+}//rboxMessage
+
+int RboxPoints::
+rboxStatus() const
+{
+    return rbox_status;
+}
+
+bool RboxPoints::
+hasRboxMessage() const
+{
+    return (rbox_status!=qh_ERRnone);
+}
+
+#//!\name Methods
+
+//! Appends points as defined by rboxCommand
+//! Appends rboxCommand to comment
+//! For rbox commands, see http://www.qhull.org/html/rbox.htm or html/rbox.htm
+void RboxPoints::
+appendPoints(const char *rboxCommand)
+{
+    string s("rbox ");
+    s += rboxCommand;
+    char *command= const_cast<char*>(s.c_str());
+    if(qh()->cpp_object){
+        throw QhullError(10001, "Qhull error: conflicting user of cpp_object for RboxPoints::appendPoints() or corrupted qh_qh");
+    }
+    if(extraCoordinatesCount()!=0){
+        throw QhullError(10067, "Qhull error: Extra coordinates (%d) prior to calling RboxPoints::appendPoints.  Was %s", extraCoordinatesCount(), 0, 0.0, comment().c_str());
+    }
+    countT previousCount= count();
+    qh()->cpp_object= this;           // for qh_fprintf_rbox()
+    int status= qh_rboxpoints(qh(), command);
+    qh()->cpp_object= 0;
+    if(rbox_status==qh_ERRnone){
+        rbox_status= status;
+    }
+    if(rbox_status!=qh_ERRnone){
+        throw QhullError(rbox_status, rbox_message);
+    }
+    if(extraCoordinatesCount()!=0){
+        throw QhullError(10002, "Qhull error: extra coordinates (%d) for PointCoordinates (%x)", extraCoordinatesCount(), 0, 0.0, coordinates());
+    }
+    if(previousCount+newCount()!=count()){
+        throw QhullError(10068, "Qhull error: rbox specified %d points but got %d points for command '%s'", newCount(), count()-previousCount, 0.0, comment().c_str());
+    }
+}//appendPoints
+
+}//namespace orgQhull
+
+#//!\name Global functions
+
+/*-<a                             href="qh-user.htm#TOC"
+>-------------------------------</a><a name="qh_fprintf_rbox">-</a>
+
+  qh_fprintf_rbox(qh, fp, msgcode, format, list of args )
+    fp is ignored (replaces qh_fprintf_rbox() in userprintf_rbox.c)
+    cpp_object == RboxPoints
+
+notes:
+    only called from qh_rboxpoints()
+    same as fprintf() and Qhull.qh_fprintf()
+    fgets() is not trapped like fprintf()
+    Do not throw errors from here.  Use qh_errexit_rbox;
+    A similar technique can be used for qh_fprintf to capture all of its output
+*/
+extern "C"
+void qh_fprintf_rbox(qhT *qh, FILE*, int msgcode, const char *fmt, ... ) {
+    va_list args;
+
+    using namespace orgQhull;
+
+    if(!qh->cpp_object){
+        qh_errexit_rbox(qh, 10072);
+    }
+    RboxPoints *out= reinterpret_cast<RboxPoints *>(qh->cpp_object);
+    va_start(args, fmt);
+    if(msgcode<MSG_OUTPUT){
+        char newMessage[MSG_MAXLEN];
+        // RoadError provides the message tag
+        vsnprintf(newMessage, sizeof(newMessage), fmt, args);
+        out->rbox_message += newMessage;
+        if(out->rbox_status<MSG_ERROR || out->rbox_status>=MSG_STDERR){
+            out->rbox_status= msgcode;
+        }
+        va_end(args);
+        return;
+    }
+    switch(msgcode){
+    case 9391:
+    case 9392:
+        out->rbox_message += "RboxPoints error: options 'h', 'n' not supported.\n";
+        qh_errexit_rbox(qh, 10010);
+        /* never returns */
+    case 9393:  // FIXUP QH11026 countT vs. int
+        {
+            int dimension= va_arg(args, int);
+            string command(va_arg(args, char*));
+            countT count= va_arg(args, countT);
+            out->setDimension(dimension);
+            out->appendComment(" \"");
+            out->appendComment(command.substr(command.find(' ')+1));
+            out->appendComment("\"");
+            out->setNewCount(count);
+            out->reservePoints();
+        }
+        break;
+    case 9407:
+        *out << va_arg(args, int);
+        // fall through
+    case 9405:
+        *out << va_arg(args, int);
+        // fall through
+    case 9403:
+        *out << va_arg(args, int);
+        break;
+    case 9408:
+        *out << va_arg(args, double);
+        // fall through
+    case 9406:
+        *out << va_arg(args, double);
+        // fall through
+    case 9404:
+        *out << va_arg(args, double);
+        break;
+    }
+    va_end(args);
+} /* qh_fprintf_rbox */
+

deps_src/qhull/src/libqhullcpp/RboxPoints.h

@@ -0,0 +1,69 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/RboxPoints.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef RBOXPOINTS_H
+#define RBOXPOINTS_H
+
+#include "libqhull_r/qhull_ra.h"
+#include "libqhullcpp/QhullPoint.h"
+#include "libqhullcpp/PointCoordinates.h"
+
+#include <stdarg.h>
+#include <string>
+#include <vector>
+#include <istream>
+#include <ostream>
+#include <sstream>
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! RboxPoints -- generate random PointCoordinates for Qhull
+    class RboxPoints;
+
+class RboxPoints : public PointCoordinates {
+
+private:
+#//!\name Fields and friends
+                        //! PointCoordinates.qh() is owned by RboxPoints
+    countT              rbox_new_count;     //! Number of points for PointCoordinates
+    int                 rbox_status;    //! error status from rboxpoints.  qh_ERRnone if none.
+    std::string         rbox_message;   //! stderr from rboxpoints
+
+    // '::' is required for friend references
+    friend void ::qh_fprintf_rbox(qhT *qh, FILE *fp, int msgcode, const char *fmt, ... );
+
+public:
+#//!\name Construct
+                        RboxPoints();
+    explicit            RboxPoints(const char *rboxCommand);
+                        ~RboxPoints();
+private:                // Disable copy constructor and assignment.  RboxPoints owns QhullQh.
+                        RboxPoints(const RboxPoints &);
+                        RboxPoints &operator=(const RboxPoints &);
+private:
+    void                allocateQhullQh();
+
+public:
+#//!\name GetSet
+    void                clearRboxMessage();
+    countT              newCount() const { return rbox_new_count; }
+    std::string         rboxMessage() const;
+    int                 rboxStatus() const;
+    bool                hasRboxMessage() const;
+    void                setNewCount(countT pointCount) { QHULL_ASSERT(pointCount>=0); rbox_new_count= pointCount; }
+
+#//!\name Modify
+    void                appendPoints(const char* rboxCommand);
+    using               PointCoordinates::appendPoints;
+    void                reservePoints() { reserveCoordinates((count()+newCount())*dimension()); }
+};//class RboxPoints
+
+}//namespace orgQhull
+
+#endif // RBOXPOINTS_H

deps_src/qhull/src/libqhullcpp/RoadError.cpp

@@ -0,0 +1,158 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/RoadError.cpp#2 $$Change: 2066 $
+** $DateTime: 2016/01/18 19:29:17 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! RoadError -- All exceptions thrown by Qhull are RoadErrors
+#//! Do not throw RoadError's from destructors.  Use e.logError() instead.
+
+#include "libqhullcpp/RoadError.h"
+
+#include <string>
+#include <sstream>
+#include <iostream>
+
+using std::cerr;
+using std::cout;
+using std::string;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Class fields
+
+//! Identifies error messages from Qhull and Road for web searches.
+//! See QhullError.h#QHULLlastError and user.h#MSG_ERROR
+const char * RoadError::
+ROADtag= "QH";
+
+std::ostringstream RoadError::
+global_log;
+
+#//!\name Constructor
+
+RoadError::
+RoadError()
+: error_code(0)
+, log_event()
+, error_message()
+{ }
+
+RoadError::
+RoadError(const RoadError &other)
+: error_code(other.error_code)
+, log_event(other.log_event)
+, error_message(other.error_message)
+{
+}//copy construct
+
+RoadError::
+RoadError(int code, const std::string &message)
+: error_code(code)
+, log_event(message.c_str())
+, error_message(log_event.toString(ROADtag, error_code))
+{
+    log_event.cstr_1= error_message.c_str(); // overwrites initial value
+}
+
+RoadError::
+RoadError(int code, const char *fmt)
+: error_code(code)
+, log_event(fmt)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d)
+: error_code(code)
+, log_event(fmt, d)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2)
+: error_code(code)
+, log_event(fmt, d, d2)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2, float f)
+: error_code(code)
+, log_event(fmt, d, d2, f)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2, float f, const char *s)
+: error_code(code)
+, log_event(fmt, d, d2, f, s)
+, error_message(log_event.toString(ROADtag, code)) // char * may go out of scope
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2, float f, const void *x)
+: error_code(code)
+, log_event(fmt, d, d2, f, x)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2, float f, int i)
+: error_code(code)
+, log_event(fmt, d, d2, f, i)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2, float f, long long i)
+: error_code(code)
+, log_event(fmt, d, d2, f, i)
+, error_message()
+{ }
+
+RoadError::
+RoadError(int code, const char *fmt, int d, int d2, float f, double e)
+: error_code(code)
+, log_event(fmt, d, d2, f, e)
+, error_message()
+{ }
+
+RoadError & RoadError::
+operator=(const RoadError &other)
+{
+    error_code= other.error_code;
+    error_message= other.error_message;
+    log_event= other.log_event;
+    return *this;
+}//operator=
+
+#//!\name Virtual
+const char * RoadError::
+what() const throw()
+{
+    if(error_message.empty()){
+        error_message= log_event.toString(ROADtag, error_code);
+    }
+    return error_message.c_str();
+}//what
+
+#//!\name Updates
+
+//! Log error instead of throwing it.
+//! Not reentrant, so avoid using it if possible
+//!\todo Redesign with a thread-local stream or a reentrant ostringstream
+void RoadError::
+logErrorLastResort() const
+{
+    global_log << what() << endl;
+}//logError
+
+
+}//namespace orgQhull
+

deps_src/qhull/src/libqhullcpp/RoadError.h

@@ -0,0 +1,88 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/RoadError.h#4 $$Change: 2079 $
+** $DateTime: 2016/02/07 17:43:34 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef ROADERROR_H
+#define ROADERROR_H
+
+#include "libqhull_r/user_r.h"  /* for QHULL_CRTDBG */
+#include "libqhullcpp/RoadLogEvent.h"
+
+#include <iostream>
+#include <sstream>
+#include <stdexcept>
+#include <string>
+
+using std::endl;
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! RoadError -- Report and log errors
+    //!  See discussion in Saylan, G., "Practical C++ error handling in hybrid environments," Dr. Dobb's Journal, p. 50-55, March 2007.
+    //!   He uses an auto_ptr to track a stringstream.  It constructs a string on the fly.  RoadError uses the copy constructor to transform RoadLogEvent into a string
+    class RoadError;
+
+class RoadError : public std::exception {
+
+private:
+#//!\name Fields
+    int                 error_code;  //! Non-zero code (not logged), maybe returned as program status
+    RoadLogEvent        log_event;   //! Format string w/ arguments
+    mutable std::string error_message;  //! Formated error message.  Must be after log_event.
+
+#//!\name Class fields
+    static const char  *  ROADtag;
+    static std::ostringstream  global_log; //!< May be replaced with any ostream object
+                                    //!< Not reentrant -- only used by RoadError::logErrorLastResort()
+
+public:
+#//!\name Constants
+
+#//!\name Constructors
+    RoadError();
+    RoadError(const RoadError &other);  //! Called on throw, generates error_message
+    RoadError(int code, const std::string &message);
+    RoadError(int code, const char *fmt);
+    RoadError(int code, const char *fmt, int d);
+    RoadError(int code, const char *fmt, int d, int d2);
+    RoadError(int code, const char *fmt, int d, int d2, float f);
+    RoadError(int code, const char *fmt, int d, int d2, float f, const char *s);
+    RoadError(int code, const char *fmt, int d, int d2, float f, const void *x);
+    RoadError(int code, const char *fmt, int d, int d2, float f, int i);
+    RoadError(int code, const char *fmt, int d, int d2, float f, long long i);
+    RoadError(int code, const char *fmt, int d, int d2, float f, double e);
+
+    RoadError &         operator=(const RoadError &other);
+                        ~RoadError() throw() {};
+
+#//!\name Class methods
+
+    static void         clearGlobalLog() { global_log.seekp(0); }
+    static bool         emptyGlobalLog() { return global_log.tellp()<=0; }
+    static const char  *stringGlobalLog() { return global_log.str().c_str(); }
+
+#//!\name Virtual
+    virtual const char *what() const throw();
+
+#//!\name GetSet
+    bool                isValid() const { return log_event.isValid(); }
+    int                 errorCode() const { return error_code; };
+   // FIXUP QH11021 should RoadError provide errorMessage().  Currently what()
+    RoadLogEvent        roadLogEvent() const { return log_event; };
+
+#//!\name Update
+    void                logErrorLastResort() const;
+};//class RoadError
+
+}//namespace orgQhull
+
+#//!\name Global
+
+inline std::ostream &   operator<<(std::ostream &os, const orgQhull::RoadError &e) { return os << e.what(); }
+
+#endif // ROADERROR_H

deps_src/qhull/src/libqhullcpp/RoadLogEvent.cpp

@@ -0,0 +1,122 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/RoadLogEvent.cpp#3 $$Change: 2066 $
+** $Date: 2016/01/18 $$Author: bbarber $
+**
+****************************************************************************/
+
+#//! RoadLogEvent -- All exceptions thrown by Qhull are RoadErrors
+
+#include "libqhullcpp/RoadLogEvent.h"
+
+#include <string>
+#include <sstream>
+#include <iostream>
+
+using std::cout;
+using std::endl;
+using std::ostringstream;
+using std::string;
+
+#ifdef _MSC_VER  // Microsoft Visual C++ -- warning level 4
+#endif
+
+namespace orgQhull {
+
+#//!\name Conversion
+string RoadLogEvent::
+toString(const char *tag, int code) const
+{
+    ostringstream os;
+    if(tag && code){
+        os << tag << code;
+        if(format_string){
+            os << " ";
+        }
+    }
+    if(!format_string){
+        return os.str();
+    }
+    const char *s= format_string;
+    int dCount= 0;  // Count of %d
+    int fCount= 0;  // Count of %f
+    char extraCode= '\0';
+    while(*s){
+        if(*s!='%'){
+            os << *s++;
+        }else{
+            char c= *++s;
+            s++;
+            switch(c){
+            case 'd':
+                if(++dCount>2){
+                    os << " ERROR_three_%d_in_format ";
+                }else if(dCount==2){
+                    os << int_2;
+                }else{
+                    os << int_1;
+                }
+                break;
+            case 'e':
+                if(firstExtraCode(os, c, &extraCode)){
+                    os << double_1;
+                }
+                break;
+            case 'f':
+                if(++fCount>1){
+                    os << " ERROR_two_%f_in_format ";
+                }else{
+                    os << float_1;
+                }
+                break;
+            case 'i':
+                if(firstExtraCode(os, c, &extraCode)){
+                    os << int64_1;
+                }
+                break;
+            case 's':
+                if(firstExtraCode(os, c, &extraCode)){
+                    os << cstr_1;
+                }
+                break;
+            case 'u':
+                if(firstExtraCode(os, c, &extraCode)){
+                    os << "0x" << std::hex << int64_1 << std::dec;
+                }
+                break;
+            case 'x':
+                if(firstExtraCode(os, c, &extraCode)){
+                    os << void_1;
+                }
+                break;
+            case '%':
+                os << c;
+                break;
+            default:
+                os << " ERROR_%" << c << "_not_defined_in_format";
+                break;
+            }
+        }
+    }
+    if(s[-1]!='\n'){
+        os << endl;
+    }
+    return os.str();
+}//toString
+
+#//!\name Class helpers (static)
+
+//! True if this char is the first extra code
+bool RoadLogEvent::
+firstExtraCode(std::ostream &os, char c, char *extraCode){
+    if(*extraCode){
+        os << " ERROR_%" << *extraCode << "_and_%" << c << "_in_format ";
+        return false;
+    }
+    *extraCode= c;
+    return true;
+}//firstExtraCode
+
+}//namespace orgQhull
+

deps_src/qhull/src/libqhullcpp/RoadLogEvent.h

@@ -0,0 +1,77 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/RoadLogEvent.h#1 $$Change: 1981 $
+** $DateTime: 2015/09/28 20:26:32 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef ROADLOGEVENT_H
+#define ROADLOGEVENT_H
+
+#include <ostream>
+#include <stdexcept>
+#include <string>
+
+namespace orgQhull {
+
+#//!\name Defined here
+    //! RoadLogEvent -- Record an event for the RoadLog
+    struct RoadLogEvent;
+
+struct RoadLogEvent {
+
+public:
+#//!\name Fields
+    const char *    format_string; //! Format string (a literal with format codes, for logging)
+    int             int_1;       //! Integer argument (%d, for logging)
+    int             int_2;       //! Integer argument (%d, for logging)
+    float           float_1;     //! Float argument (%f, for logging)
+    union {                      //! One additional argument (for logging)
+        const char *cstr_1;      //!   Cstr argument (%s) -- type checked at construct-time
+        const void *void_1;      //!   Void* argument (%x) -- Use upper-case codes for object types
+        long long   int64_1;     //!   signed int64 (%i).  Ambiguous if unsigned is also defined.
+        double      double_1;    //!   Double argument (%e)
+    };
+
+#//!\name Constants
+
+#//!\name Constructors
+    RoadLogEvent() : format_string(0), int_1(0), int_2(0), float_1(0), int64_1(0) {};
+    explicit RoadLogEvent(const char *fmt) : format_string(fmt), int_1(0), int_2(0), float_1(0), int64_1(0) {};
+    RoadLogEvent(const char *fmt, int d) : format_string(fmt), int_1(d), int_2(0), float_1(0), int64_1(0) {};
+    RoadLogEvent(const char *fmt, int d, int d2) : format_string(fmt), int_1(d), int_2(d2), float_1(0), int64_1(0) {};
+    RoadLogEvent(const char *fmt, int d, int d2, float f) : format_string(fmt), int_1(d), int_2(d2), float_1(f), int64_1(0) {};
+    RoadLogEvent(const char *fmt, int d, int d2, float f, const char *s) : format_string(fmt), int_1(d), int_2(d2), float_1(f), cstr_1(s) {};
+    RoadLogEvent(const char *fmt, int d, int d2, float f, const void *x) : format_string(fmt), int_1(d), int_2(d2), float_1(f), void_1(x) {};
+    RoadLogEvent(const char *fmt, int d, int d2, float f, int i) : format_string(fmt), int_1(d), int_2(d2), float_1(f), int64_1(i) {};
+    RoadLogEvent(const char *fmt, int d, int d2, float f, long long i) : format_string(fmt), int_1(d), int_2(d2), float_1(f), int64_1(i) {};
+    RoadLogEvent(const char *fmt, int d, int d2, float f, double g) : format_string(fmt), int_1(d), int_2(d2), float_1(f), double_1(g) {};
+    ~RoadLogEvent() {};
+    //! Default copy constructor and assignment
+
+#//!\name GetSet
+    bool                isValid() const { return format_string!=0; }
+    int                 int1() const { return int_1; };
+    int                 int2() const { return int_2; };
+    float               float1() const { return float_1; };
+    const char *        format() const { return format_string; };
+    const char *        cstr1() const { return cstr_1; };
+    const void *        void1() const { return void_1; };
+    long long           int64() const { return int64_1; };
+    double              double1() const { return double_1; };
+
+#//!\name Conversion
+
+    std::string        toString(const char* tag, int code) const;
+
+private:
+#//!\name Class helpers
+    static bool         firstExtraCode(std::ostream &os, char c, char *extraCode);
+
+
+};//class RoadLogEvent
+
+}//namespace orgQhull
+
+#endif // ROADLOGEVENT_H

deps_src/qhull/src/libqhullcpp/functionObjects.h

@@ -0,0 +1,67 @@
+/****************************************************************************
+**
+** Copyright (c) 2008-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/functionObjects.h#1 $$Change: 1981 $
+** $DateTime: 2015/09/28 20:26:32 $$Author: bbarber $
+**
+****************************************************************************/
+
+#ifndef QHFUNCTIONOBJECTS_H
+#define QHFUNCTIONOBJECTS_H
+
+#include <stdlib.h>
+#include <math.h>
+
+namespace orgQhull {
+
+#//!\name Defined here
+
+    //! Sum of absolute values of the elements in a container
+    class AbsoluteSumOf;
+    //! Sum of the elements in a container
+    class SumOf;
+    //! Sum of squares of the elements in a container
+    class SumSquaresOf;
+
+#//!\name Class
+
+//! Absolute sum of the elements in a container
+class AbsoluteSumOf
+{
+private:
+    double sum;
+public:
+    inline AbsoluteSumOf() : sum(0.0) {}
+    inline void operator()(double v) { sum += fabs(v); }
+    inline operator double() { return sum; }
+};//AbsoluteSumOf
+
+//! Sum of the elements in a container
+class SumOf
+{
+private:
+    double sum;
+public:
+    inline SumOf() : sum(0.0) {}
+    inline void operator()(double v) { sum += v; }
+    inline operator double() { return sum; }
+};//SumOf
+
+
+//! Sum of squares of the elements in a container
+class SumSquaresOf
+{
+private:
+    double sum;
+public:
+    inline SumSquaresOf() : sum(0.0) {}
+    inline void operator()(double v) { sum += v*v; }
+    inline operator double() { return sum; }
+};//SumSquaresOf
+
+
+}//orgQhull
+
+
+#endif //QHFUNCTIONOBJECTS_H
+

deps_src/qhull/src/libqhullcpp/libqhullcpp.pro

@@ -0,0 +1,71 @@
+# -------------------------------------------------
+# libqhullcpp.pro -- Qt project for Qhull cpp shared library
+#
+# It uses reentrant Qhull
+# -------------------------------------------------
+
+include(../qhull-warn.pri)
+
+DESTDIR = ../../lib
+TEMPLATE = lib
+# Do not create libqhullcpp as a shared library.  Qhull C++ classes may change layout and size. 
+CONFIG += staticlib warn_on
+CONFIG -= qt rtti
+build_pass:CONFIG(debug, debug|release):{
+   TARGET = qhullcpp_d
+   OBJECTS_DIR = Debug
+}else:build_pass:CONFIG(release, debug|release):{
+   TARGET = qhullcpp
+   OBJECTS_DIR = Release
+}
+MOC_DIR = moc
+
+INCLUDEPATH += ../../src
+INCLUDEPATH += $$PWD # for MOC_DIR
+
+CONFIG += qhull_warn_shadow qhull_warn_conversion
+
+SOURCES += ../libqhullcpp/Coordinates.cpp
+SOURCES += ../libqhullcpp/PointCoordinates.cpp
+SOURCES += ../libqhullcpp/Qhull.cpp
+SOURCES += ../libqhullcpp/QhullFacet.cpp
+SOURCES += ../libqhullcpp/QhullFacetList.cpp
+SOURCES += ../libqhullcpp/QhullFacetSet.cpp
+SOURCES += ../libqhullcpp/QhullHyperplane.cpp
+SOURCES += ../libqhullcpp/QhullPoint.cpp
+SOURCES += ../libqhullcpp/QhullPoints.cpp
+SOURCES += ../libqhullcpp/QhullPointSet.cpp
+SOURCES += ../libqhullcpp/QhullQh.cpp
+SOURCES += ../libqhullcpp/QhullRidge.cpp
+SOURCES += ../libqhullcpp/QhullSet.cpp
+SOURCES += ../libqhullcpp/QhullStat.cpp
+SOURCES += ../libqhullcpp/QhullVertex.cpp
+SOURCES += ../libqhullcpp/QhullVertexSet.cpp
+SOURCES += ../libqhullcpp/RboxPoints.cpp
+SOURCES += ../libqhullcpp/RoadError.cpp
+SOURCES += ../libqhullcpp/RoadLogEvent.cpp
+
+HEADERS += ../libqhullcpp/Coordinates.h
+HEADERS += ../libqhullcpp/functionObjects.h
+HEADERS += ../libqhullcpp/PointCoordinates.h
+HEADERS += ../libqhullcpp/Qhull.h
+HEADERS += ../libqhullcpp/QhullError.h
+HEADERS += ../libqhullcpp/QhullFacet.h
+HEADERS += ../libqhullcpp/QhullFacetList.h
+HEADERS += ../libqhullcpp/QhullFacetSet.h
+HEADERS += ../libqhullcpp/QhullHyperplane.h
+HEADERS += ../libqhullcpp/QhullIterator.h
+HEADERS += ../libqhullcpp/QhullLinkedList.h
+HEADERS += ../libqhullcpp/QhullPoint.h
+HEADERS += ../libqhullcpp/QhullPoints.h
+HEADERS += ../libqhullcpp/QhullPointSet.h
+HEADERS += ../libqhullcpp/QhullQh.h
+HEADERS += ../libqhullcpp/QhullRidge.h
+HEADERS += ../libqhullcpp/QhullSet.h
+HEADERS += ../libqhullcpp/QhullSets.h
+HEADERS += ../libqhullcpp/QhullStat.h
+HEADERS += ../libqhullcpp/QhullVertex.h
+HEADERS += ../libqhullcpp/QhullVertexSet.h
+HEADERS += ../libqhullcpp/RboxPoints.h
+HEADERS += ../libqhullcpp/RoadError.h
+HEADERS += ../libqhullcpp/RoadLogEvent.h

deps_src/qhull/src/libqhullcpp/qt-qhull.cpp

@@ -0,0 +1,130 @@
+/****************************************************************************
+**
+** Copyright (c) 2009-2015 C.B. Barber. All rights reserved.
+** $Id: //main/2015/qhull/src/libqhullcpp/qt-qhull.cpp#1 $$Change: 1981 $
+** $DateTime: 2015/09/28 20:26:32 $$Author: bbarber $
+**
+****************************************************************************/
+
+#include <QList>
+#include "qhulltest/RoadTest.h"
+
+#ifndef QHULL_USES_QT
+#define QHULL_USES_QT 1
+#endif
+
+#include "Coordinates.h"
+#include "QhullFacetList.h"
+#include "QhullFacetSet.h"
+#include "QhullHyperplane.h"
+#include "QhullPoint.h"
+#include "QhullPoints.h"
+#include "QhullPointSet.h"
+#include "QhullVertex.h"
+#include "QhullVertexSet.h"
+
+namespace orgQhull {
+
+#//!\name Conversions
+
+QList<coordT> Coordinates::
+toQList() const
+{
+    CoordinatesIterator i(*this);
+    QList<coordT> cs;
+    while(i.hasNext()){
+        cs.append(i.next());
+    }
+    return cs;
+}//toQList
+
+QList<QhullFacet> QhullFacetList::
+toQList() const
+{
+    QhullLinkedListIterator<QhullFacet> i(*this);
+    QList<QhullFacet> vs;
+    while(i.hasNext()){
+        QhullFacet f= i.next();
+        if(isSelectAll() || f.isGood()){
+            vs.append(f);
+        }
+    }
+    return vs;
+}//toQList
+
+//! Same as PrintVertices
+QList<QhullVertex> QhullFacetList::
+vertices_toQList() const
+{
+    QList<QhullVertex> vs;
+    QhullVertexSet qvs(qh(), first().getFacetT(), NULL, isSelectAll());
+    for(QhullVertexSet::iterator i=qvs.begin(); i!=qvs.end(); ++i){
+        vs.push_back(*i);
+    }
+    return vs;
+}//vertices_toQList
+
+QList<QhullFacet> QhullFacetSet::
+toQList() const
+{
+    QhullSetIterator<QhullFacet> i(*this);
+    QList<QhullFacet> vs;
+    while(i.hasNext()){
+        QhullFacet f= i.next();
+        if(isSelectAll() || f.isGood()){
+            vs.append(f);
+        }
+    }
+    return vs;
+}//toQList
+
+#ifdef QHULL_USES_QT
+QList<coordT> QhullHyperplane::
+toQList() const
+{
+    QhullHyperplaneIterator i(*this);
+    QList<coordT> fs;
+    while(i.hasNext()){
+        fs.append(i.next());
+    }
+    fs.append(hyperplane_offset);
+    return fs;
+}//toQList
+#endif //QHULL_USES_QT
+
+QList<coordT> QhullPoint::
+toQList() const
+{
+    QhullPointIterator i(*this);
+    QList<coordT> vs;
+    while(i.hasNext()){
+        vs.append(i.next());
+    }
+    return vs;
+}//toQList
+
+QList<QhullPoint> QhullPoints::
+toQList() const
+{
+    QhullPointsIterator i(*this);
+    QList<QhullPoint> vs;
+    while(i.hasNext()){
+        vs.append(i.next());
+    }
+    return vs;
+}//toQList
+
+/******
+QList<QhullPoint> QhullPointSet::
+toQList() const
+{
+    QhullPointSetIterator i(*this);
+    QList<QhullPoint> vs;
+    while(i.hasNext()){
+        vs.append(i.next());
+    }
+    return vs;
+}//toQList
+*/
+}//orgQhull
+

deps_src/qhull/src/libqhullcpp/usermem_r-cpp.cpp

@@ -0,0 +1,93 @@
+/*<html><pre>  -<a                             href="qh-user_r.htm"
+  >-------------------------------</a><a name="TOP">-</a>
+
+   usermem_r-cpp.cpp
+
+   Redefine qh_exit() as 'throw std::runtime_error("QH10003 ...")'
+
+   This file is not included in the Qhull builds.
+
+   qhull_r calls qh_exit() when qh_errexit() is not available.  For example,
+   it calls qh_exit() if you linked the wrong qhull library.
+
+   The C++ interface avoids most of the calls to qh_exit().
+
+   If needed, include usermem_r-cpp.o before libqhullstatic_r.a.  You may need to
+   override duplicate symbol errors (e.g. /FORCE:MULTIPLE for DevStudio).  It
+   may produce a warning about throwing an error from C code.
+*/
+
+extern "C" {
+    void    qh_exit(int exitcode);
+}
+
+#include <stdexcept>
+#include <stdlib.h>
+
+/*-<a                             href="qh-user_r.htm#TOC"
+  >-------------------------------</a><a name="qh_exit">-</a>
+
+  qh_exit( exitcode )
+    exit program
+
+  notes:
+    same as exit()
+*/
+void qh_exit(int exitcode) {
+    exitcode= exitcode;
+    throw std::runtime_error("QH10003 Qhull error.  See stderr or errfile.");
+} /* exit */
+
+/*-<a                             href="qh-user_r.htm#TOC"
+  >-------------------------------</a><a name="qh_fprintf_stderr">-</a>
+
+  qh_fprintf_stderr( msgcode, format, list of args )
+    fprintf to stderr with msgcode (non-zero)
+
+  notes:
+    qh_fprintf_stderr() is called when qh->ferr is not defined, usually due to an initialization error
+
+    It is typically followed by qh_errexit().
+
+    Redefine this function to avoid using stderr
+
+    Use qh_fprintf [userprintf_r.c] for normal printing
+*/
+void qh_fprintf_stderr(int msgcode, const char *fmt, ... ) {
+    va_list args;
+
+    va_start(args, fmt);
+    if(msgcode)
+      fprintf(stderr, "QH%.4d ", msgcode);
+    vfprintf(stderr, fmt, args);
+    va_end(args);
+} /* fprintf_stderr */
+
+/*-<a                             href="qh-user_r.htm#TOC"
+>-------------------------------</a><a name="qh_free">-</a>
+
+  qh_free(qhT *qh, mem )
+    free memory
+
+  notes:
+    same as free()
+    No calls to qh_errexit()
+*/
+void qh_free(void *mem) {
+    free(mem);
+} /* free */
+
+/*-<a                             href="qh-user_r.htm#TOC"
+    >-------------------------------</a><a name="qh_malloc">-</a>
+
+    qh_malloc( mem )
+      allocate memory
+
+    notes:
+      same as malloc()
+*/
+void *qh_malloc(size_t size) {
+    return malloc(size);
+} /* malloc */
+
+