gmt-makemap/modules/gmt/modgmt_func.h

#ifndef MODGMT_FUNC_H
#define MODGMT_FUNC_H
#include "modgmt_internals.h"
#include "modgmt_objects.h"

ObjectBase* GMT_Header(const ObjectList* input);
ObjectBase* GMT_Footer(const ObjectList* input);
ObjectBase* GMT_ColorGray(const ObjectList* input);
ObjectBase* GMT_ColorRGB(const ObjectList* input);
ObjectBase* GMT_ColorHSV(const ObjectList* input);
ObjectBase* GMT_ColorCMYK(const ObjectList* input);
ObjectBase* GMT_LayerShift(const ObjectList* input);

// Extension of OBTypeM template for easy work with lists
template<template<typename> class Func, class... O>
class Base2Something: public OBTypeM<Func,O...>
{
 Base2Something() = delete;
 Base2Something(Base2Something&&) = delete;
 Base2Something(Base2Something&) = delete;

 public:
 Base2Something(const ObjectBase* arg):OBTypeM<Func,O...>(arg) {};
 Base2Something(const ObjectList* input, const std::string& name):OBTypeM<Func,O...>(input->Get(name)){};
 Base2Something(const ObjectList* input, const ObjectList::ListValues::size_type i):OBTypeM<Func,O...>((i<input->Size())?input->At(i):0){}; // Check index, because At is not safe
 template<class... Args>
 auto operator ()(bool* b, Args... args) const -> decltype(this->OBTypeM<Func,O...>::template operator()<bool*, Args...>(b, args...))
 {
  if(!OBTypeM<Func,O...>::operator bool()) *b=false;
  return OBTypeM<Func,O...>::operator ()(b,args...);
 }
};

// Generic converting template
template<class Struct, class O>
class Convert2Struct
{
 public:
 template<class... Args>
 Struct operator()(const O* o, bool* suc, Args... args) const
 {
  Struct s;
  if(!s.Convert(o->Value(),args...)) *suc=false;
  return s;
 }
};
// Extract structure from corresponding class
template<class Struct>
class Convert2Struct<Struct, ObjectGMTClass<Struct> >
{
 public:
 template<class... Args>
 Struct operator()(const ObjectGMTClass<Struct>* o, bool* suc, Args... args) const { return o->Data(); }
};

// Converting Int or Real to double
template<class O>
class Convert2Struct<double,O>
{
 public:
 double operator ()(const O* q, bool* suc) const {return q->Value();}
};
// Converting String to double
template<>
class Convert2Struct<double,ObjectString>
{
 public:
 double operator ()(const ObjectString* q, bool* suc) const {double d=0; *suc=(*suc) && str2double(q->Value(),&d); return d;}
};

// Get string
template<>
class Convert2Struct<std::string,ObjectString>
{
 public:
 std::string operator ()(const ObjectString* q, bool* suc) const {return q->Value();}
};

// Generic type storage class
template<class Struct,class... Types>
class gTypeStorage
{
 template<class O> class Convertor: public Convert2Struct<Struct, O> {}; // Conversion type
 public:
 typedef Base2Something<Convertor,Types...> Base2Type;
};
// Specific type storage class
template<class Struct>
class TypeStorage;

// Default ObjectList converter
template<class Struct>
class Convert2Struct<Struct, ObjectList>
{
 public:
 template<class... Args>
 Struct operator()(const ObjectList* o, bool* suc, Args... args) const
 {
  Struct s;
  if(o->Size()!=1) {*suc=false; return s;}
  typename TypeStorage<Struct>::Base2Type a(o,0);
  s=a(suc,args...);
  return s;
 }
};

// Helper struct for class SearchParameter
template<class Struct, bool check>
// Search function for non-gmt_struct types do nothing
struct SearchHelper {void operator()(const ObjectList* input, Struct* s, bool* exist, bool* ok) const {}};
template<class Struct>
// Search function for gmt_struct types find ObjectGMTClass<Struct> in list
struct SearchHelper<Struct,true>
{
 void operator()(const ObjectList* input, Struct* s, bool* exist, bool* ok) const
 {
  for(ObjectList::ListValues::size_type i=0;i<input->Size();i++)
  {
   OBType<ObjectGMTClass<Struct> > obj(input->At(i));
   if(obj)
   {
    if(*exist) {*ok=false; break;} // Object already found
    *s=obj->Data();
    *exist=true;
   }
  }
 }
};

// This class search parameter with specified names in the list, which may be converted to Struct.
// If Struct is derived from gmt_struct, additionaly search unnamed parameter of type ObjectGMTClass<Struct>
template<class Struct>
class SearchParameter
{
 bool exist; // There is at least one parameter with given names
 bool ok; // True if conversion to corresponding structure was successful and there is only one parameter with given names
 Struct val;
 typedef typename TypeStorage<Struct>::Base2Type Base2Struct;
 public:
 // Recursive constructor
 template<class... Args>
 SearchParameter(const ObjectList* input, const std::string& name, Args... args):SearchParameter(input,args...)
 {
  if(ok)
  {
   Base2Struct a(input,name);
   if(exist && a.Exist()) ok=false;
   else if(a.Exist())
   {
    exist=true;
    ok=true;
    val=a(&ok);
   }
  }
 }
 // Bottom of recursion
 SearchParameter(const ObjectList* input):exist(false),ok(true) {SearchHelper<Struct,std::is_base_of<gmt_struct,Struct>::value>()(input,&val,&exist,&ok);}
 Struct operator()(bool* suc) const
 {
  if(!ok || !exist) *suc=false;
  return val;
 }
 Struct operator()(bool* ex, bool* suc) const
 {
  *ex=exist;
  if(!ok || !exist) *suc=false;
  return val;
 }
 bool Exist() const {return exist;}
};

// Definitions for double
template<> class TypeStorage<double>: public gTypeStorage<double,ObjectReal,ObjectInt,ObjectString> {};
typedef TypeStorage<double>::Base2Type Base2Double; // Copy definition to global namespace
// Definitions for string
template<> class TypeStorage<std::string>: public gTypeStorage<std::string,ObjectString> {};
typedef TypeStorage<std::string>::Base2Type Base2String; // Copy definition to global namespace

// This source using Base2Double to get value of parameter. If parameter not exist, fallback to default value.
// Default value can be setted as template parameter or as parameter of constructor.
// We use rational representation of floating point number, because double type values not allowed as template parameter
template<int32_t num=0, uint32_t denum=1>
class SourceDefaultVal: public Base2Double
{
 double defval;
 public:
 // Constructors without default value
 SourceDefaultVal(const ObjectBase* arg):Base2Double(arg),defval(static_cast<double>(num)/denum) {};
 SourceDefaultVal(const ObjectList* input, const std::string& name):Base2Double(input,name),defval(static_cast<double>(num)/denum){};
 SourceDefaultVal(const ObjectList* input, const ObjectList::ListValues::size_type i):Base2Double(input,i),defval(static_cast<double>(num)/denum){};
 // Constructors with default value
 SourceDefaultVal(const ObjectBase* arg, double d):Base2Double(arg),defval(d) {};
 SourceDefaultVal(const ObjectList* input, const std::string& name, double d):Base2Double(input,name),defval(d){};
 SourceDefaultVal(const ObjectList* input, const ObjectList::ListValues::size_type i, double d):Base2Double(input,i),defval(d){};
 double operator()(bool* suc) const
 {
  if(Exist()) return Base2Double::operator()(suc);
  else return defval;
 }
};

// This source try to get value of named parameter from list, which may have different names. Only one name must be in list.
template<class Struct>
class SourceMultiInputNames
{
 bool exist; // There is at least one parameter with given names
 bool ok; // True if conversion to Struct was successful and there is only one parameter with given names
 Struct val;
 typedef typename TypeStorage<Struct>::Base2Type Base2Struct;
 public:
 // Recursive constructor
 template<class... Args>
 SourceMultiInputNames(const ObjectList* input, const std::string& name, Args... args):SourceMultiInputNames(input,args...)
 {
  Base2Struct a(input,name);
  if(exist && a.Exist()) ok=false;
  else if(a.Exist())
  {
   exist=true;
   ok=true;
   val=a(&ok);
  }
 }
 // Bottom of recursion
 SourceMultiInputNames(const ObjectList* input, const std::string& name)
 {
  Base2Struct a(input,name);
  exist=a.Exist();
  ok=true;
  if(exist) val=a(&ok);
 }
 Struct operator()(bool* suc) const
 {
  if(!ok || !exist) *suc=false;
  return val;
 }
 bool Exist() const {return exist;}
};

// Simple type for multiple input names
typedef GetDouble<SourceMultiInputNames<double> > BaseM2Double;

// Definitions for ObjectGMTCoord
template<> class TypeStorage<struct gmt_coord>: public gTypeStorage<struct gmt_coord,ObjectReal,ObjectInt,ObjectString,ObjectGMTCoord,ObjectList> {};
typedef TypeStorage<struct gmt_coord>::Base2Type Base2Coord;
// Definitions for ObjectGMTRegion
template<> class TypeStorage<struct gmt_region>: public gTypeStorage<struct gmt_region,ObjectList,ObjectString,ObjectGMTRegion> {};
typedef TypeStorage<struct gmt_region>::Base2Type Base2Region;
// Definitions for ObjectGMTProjection
template<> class TypeStorage<struct gmt_projection>: public gTypeStorage<struct gmt_projection,ObjectList,ObjectGMTProjection> {};
typedef TypeStorage<struct gmt_projection>::Base2Type Base2Projection;
// Definitions for ObjectGMTColor
template<> class TypeStorage<struct gmt_color>: public gTypeStorage<struct gmt_color,ObjectList,ObjectString,ObjectReal,ObjectInt,ObjectGMTColor> {};
typedef TypeStorage<struct gmt_color>::Base2Type Base2Color;
// Definitions for ObjectGMTDash
template<> class TypeStorage<struct gmt_dash>: public gTypeStorage<struct gmt_dash,ObjectString,ObjectGMTDash> {};
typedef TypeStorage<struct gmt_dash>::Base2Type Base2Dash;
// Definitions for ObjectGMTPen
template<> class TypeStorage<struct gmt_pen>: public gTypeStorage<struct gmt_pen,ObjectList,ObjectString,ObjectReal,ObjectInt,ObjectGMTPen> {};
typedef TypeStorage<struct gmt_pen>::Base2Type Base2Pen;
// Definitions for ObjectGMTFont
template<> class TypeStorage<struct gmt_font>: public gTypeStorage<struct gmt_font,ObjectList,ObjectString,ObjectReal,ObjectInt,ObjectGMTFont> {};
typedef TypeStorage<struct gmt_font>::Base2Type Base2Font;
// Definitions for ObjectGMTLayer
template<> class TypeStorage<struct gmt_layer>: public gTypeStorage<struct gmt_layer,ObjectList,ObjectGMTLayer> {};
typedef TypeStorage<struct gmt_layer>::Base2Type Base2Layer;

// Conversion from List to GMTRegion
/*
Input:
1) One argument, Region. Return copy of this argument.
2) One argument, case insensitive string "global180" (global domain -R-180/180/-90/90), "global360" (global domain -R0/360/-90/90) or "global" (synonym of "global360").
3) One argument, list. Recursively calling GMT_Region.
4) Pairs list. Names are xb, xe, yb, ye, and, optionally, type="bbox|nobbox|global180|global360|global". Names are case sensitive, values can be Int, Real, String or GMTCoord.
If pair with name region (r) exists in list, when recursively calling GMT_Region on the value of this parameter, when modify it with specified parameters.
If argument with type Region exists in list, when copy it and modify with specified parameters.
5) 4 or 5 parameters. Fifth parameter can be "bbox" or "nobbox" (default). If fifth parameter is string "bbox", when first four parameters interprets as xb,yb,xe,ye, else as xb,xe,yb,ye.
*/
template<>
class Convert2Struct<struct gmt_region, ObjectList>
{
 public:
 struct gmt_region operator()(const ObjectList* input, bool* issuc) const
 {
  struct gmt_region r;
  auto size=input->Size();

  if(1==size) // Cases 1, 2 and 3
  {
   Base2Region region(input,0);
   bool suc=true;
   r=region(&suc);
   if(!suc) goto fail; // Conversion failed
   return r;
  }

  // Case 4
  {
   OBType<ObjectString> type(input->Get("type"));
   if(type && r.Convert(type->Value())) return r; // type is one of "global*" string, we can return, becuse upd is irrelevant

   bool upd;
   {
    SearchParameter<struct gmt_region> updarg(input,"r","region");
    bool suc=true;
    r=updarg(&upd,&suc);
    if(upd && !suc) goto fail; // Conversion failed or too many arguments
   }

   Base2Coord ixb(input,"xb"), ixe(input,"xe"), iyb(input,"yb"), iye(input,"ye");
   if(!(type.Exist() || ixb.Exist() || ixe.Exist() || iyb.Exist() || iye.Exist() || upd)) goto case5; // No named parameters, no update mode, possibly case 5
   bool suc=true;
   struct gmt_coord xb,yb,xe,ye;
   bool isbbox=upd?(gmt_region::BBOX==r.type):false;

   if(type)
   {
    std::string s=type->Value();
    tolower(s);
    if("bbox"==s) isbbox=true;
    if("nobbox"==s) isbbox=false;
    if("bbox"!=s && "nobbox"!=s) goto fail; // Unknown type
   }

   if(upd)
   {
    if(!ixb.Exist()) xb=r.xb;
    if(!ixe.Exist()) xe=r.xe;
    if(!iyb.Exist()) yb=r.yb;
    if(!iye.Exist()) ye=r.ye;
   }
   else suc=suc && ixb && ixe && iyb && iye; // In "new" mode all parameters must exists and have correct type
   if(ixb.Exist()) xb=ixb(&suc);
   if(ixe.Exist()) xe=ixe(&suc);
   if(iyb.Exist()) yb=iyb(&suc);
   if(iye.Exist()) ye=iye(&suc);
   if(!suc) goto fail; // Something wrong
   if(!r.Convert(xb,xe,yb,ye,isbbox)) goto fail; // Conversion failed
   return r; // Case 3 with all parameters
  }

  case5:
  // Case 5
  if(4==size || 5==size)
  {
   bool isbbox=false;
   if(5==size)
   {
    OBType<ObjectString> type(input->At(4));
    if(!type) goto fail; // Unknown fifth parameter
    std::string str=type->Value();
    tolower(str);
    if("bbox"!=str || "nobbox"!=str) goto fail; // Unknown fifth parameter
    if("bbox"==str) isbbox=true;
   }
   Base2Coord ixb(input,0), ixe(input,(isbbox?2:1)), iyb(input,(isbbox?1:2)), iye(input,3);
   bool suc=true;
   struct gmt_coord xb=ixb(&suc),yb=iyb(&suc),xe=ixe(&suc),ye=iye(&suc);
   if(ixb && ixe && iyb && iye && suc)
   {
    if(!r.Convert(xb,xe,yb,ye,isbbox)) goto fail; // Conversion failed
    return r; // Case 4 with all parameters
   }
  }

  fail:
  *issuc=false;
  return r; // Something go wrong
 }
};


// Converting List to GMTProjection
/*
Input:
1) One argument, Projection. Return copy of this argument.
2) One argument, list. Recursively calling GMT_Projection.
3) Pairs list. Names are projtype (type) (string), region (GMTRegion, string or list, which can be converted to GMTRegion),
width (or height) in centimeters (may be absent, default width is 10 cm) and projection-dependent parameters.
Pair with name region may absent, in this case search in list and using as region object with ObjectGMTRegion type.
If pair with name projection (p or proj) exists in list, when recursively calling GMT_Projection on the value of this parameter, when modify it with specified parameters.
If argument with type Projection exists in list, when copy it and modify with specified parameters.
4) 3 or more parameters. First parameter is projection type (string), second - width in centimeters,
third - region (any type which can be converted to GMTRegion), other parameters are projection-dependent.
Height can be set only in form 3.
*/
template<>
class Convert2Struct<struct gmt_projection, ObjectList>
{
 public:
 struct gmt_projection operator()(const ObjectList* input, bool* issuc) const
 {
  typedef GetDouble<SourceMultiInputNames<double>,PMin<0> > BaseM2Nonneg;
  struct gmt_projection p;
  auto size=input->Size();

  if(1==size) // Cases 1, and 2
  {
   Base2Projection proj(input,0);
   bool suc=true;
   p=proj(&suc);
   if(!suc) goto fail; // Conversion failed
   return p;
  }

  // Case 3
  {
   bool upd;
   bool changetype=false;
   {
    SearchParameter<struct gmt_projection> updarg(input,"p","proj","projection");
    bool suc=true;
    p=updarg(&upd,&suc);
    if(upd && !suc) goto fail; // Conversion failed or too many arguments
   }

   // Try to set type of projection
   {
    SearchParameter<std::string> type(input,"t","type","projtype");
    if(!(type.Exist() || upd)) goto case4; // No named parameter, not update mode, go to case 4
    // Check on redundant parameters
    bool suc=true;
    if(type.Exist())
    {
     std::string typestr=type(&suc);
     if(!suc) goto fail; // Wrong parameter type
     if(!p.SetType(typestr)) goto fail; // Incorrect projection type
     changetype=true;
    }
   }

   // We need the region
   {
    SearchParameter<struct gmt_region> region(input,"r","region");
    if(!(region.Exist() || upd)) goto fail; // Region must be defined in "new" mode
    bool suc=true;
    if(region.Exist()) p.region=region(&suc);
    if(!suc) goto fail; // Conversion failed
   }

   // Get parameters of projection
   switch(p.proj)
   {
    case(gmt_projection::XY): // x Parameter height (by default equal width)
    {
     BaseM2Nonneg height(input,"height","h");
     if(height.Exist())
     {
      bool suc=true;
      p.x.height=height(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else
     {
      BaseM2Nonneg width(input,"width","w");
      if(!width.Exist() && changetype) p.x.height=gmt_projection::default_width; // We ignore case when parameter width exists but have wrong type. It will be handled later.
      else
      {
       bool suc=true;
       p.x.height=width(&suc);
       if(!suc) goto fail; // Parsing error
      }
     }
     break;
    }
    case(gmt_projection::CYL_EQU): // q Parameters: central meridian (cmer, default is center of region), standart parallel (stpar, default is center of region)
    {
     Base2Coord cmer(input,"cmer"), stpar(input,"stpar");
     if(cmer.Exist())
     {
      bool suc=true;
      p.q.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.q.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.q.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.q.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     break;
    }
    case(gmt_projection::MERCATOR): // m Parameters: central meridian (cmer, default is center of region), standart parallel (stpar, default is center of region)
    {
     Base2Coord cmer(input,"cmer"), stpar(input,"stpar");
     if(cmer.Exist())
     {
      bool suc=true;
      p.m.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.m.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.m.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.m.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     break;
    }
    case(gmt_projection::TRANSMERCATOR): // t Parameters: central meridian (cmer, default is center of region), latitude of origin (orlat, default is 0.0), scale factor (scale, default is 1.0)
    {
     Base2Coord cmer(input,"cmer"), orlat(input,"orlat");
     Base2Double scale(input,"scale");
     if(cmer.Exist())
     {
      bool suc=true;
      p.t.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.t.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(orlat.Exist())
     {
      bool suc=true;
      p.t.orlat=orlat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.t.orlat.Convert(0.0);
     if(scale.Exist())
     {
      bool suc=true;
      p.t.scale=scale(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.t.scale=1.0;
     break;
    }
    case(gmt_projection::OBLIQMERCATOR): // o Parameters: longitude of projection center (clon, default is center of region), latitude of projection center (clat, default is center of region). Other parameters may form one of three combinations and doesn't have default values. 1) Azimuth of the oblique equator (azimuth). 2) Longitude and latitude of second point on oblique equator (eqlon, eqlat). 3) Longitude and latitude of projection pole (polelon, polelat).
    {
     Base2Coord clon(input,"clon"), clat(input,"clat");
     Base2Coord azimuth(input,"azimuth"), eqlon(input,"eqlon"), eqlat(input,"eqlat"), polelon(input,"polelon"), polelat(input,"polelat");
     if(changetype) p.o.type=gmt_projection::OType::NOTDEF;
     if(clon.Exist())
     {
      bool suc=true;
      p.o.clon=clon(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.o.clon.Convert((p.region.xb+p.region.xe)*0.5);
     if(clat.Exist())
     {
      bool suc=true;
      p.o.clat=clat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.o.clat.Convert((p.region.yb+p.region.ye)*0.5);
     // Variant 1
     if(azimuth)
     {
      bool suc=(gmt_projection::OType::NOTDEF==p.o.type); // If projection subtype already defined, this is an error
      p.o.type=gmt_projection::OType::A;
      p.o.azimuth=azimuth(&suc);
      if(!suc) goto fail; // Parsing error
     }
     if(eqlon && eqlat)
     {
      bool suc=(gmt_projection::OType::NOTDEF==p.o.type); // If projection subtype already defined, this is an error
      p.o.type=gmt_projection::OType::B;
      p.o.eqlon=eqlon(&suc);
      p.o.eqlat=eqlat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     if(polelon && polelat)
     {
      bool suc=(gmt_projection::OType::NOTDEF==p.o.type); // If projection subtype already defined, this is an error
      p.o.type=gmt_projection::OType::C;
      p.o.polelon=polelon(&suc);
      p.o.polelat=polelat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     if(gmt_projection::OType::NOTDEF==p.o.type) goto fail; // Insufficient data for this projection
     break;
    }
    case(gmt_projection::CASSINI): // c Parameters: longitude (clon, default is center of region) and latitude (clat, default is center of region) of central point.
    {
     Base2Coord clon(input,"clon"), clat(input,"clat");
     if(clon.Exist())
     {
      bool suc=true;
      p.c.clon=clon(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.c.clon.Convert((p.region.xb+p.region.xe)*0.5);
     if(clat.Exist())
     {
      bool suc=true;
      p.c.clat=clat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.c.clat.Convert((p.region.yb+p.region.ye)*0.5);
     break;
    }
    case(gmt_projection::CYL_EQA): // y Parameters: central meridian (cmer, default is center of region), standart parallel (stpar, default is center of region)
    {
     Base2Coord cmer(input,"cmer"), stpar(input,"stpar");
     if(cmer.Exist())
     {
      bool suc=true;
      p.y.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.y.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.y.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.y.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     break;
    }
    case(gmt_projection::MILLER): // j Parameters: central meridian (cmer, default is center of region)
    {
     Base2Coord cmer(input,"cmer");
     if(cmer.Exist())
     {
      bool suc=true;
      p.j.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.j.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     break;
    }
    case(gmt_projection::CYL_STERE): // cyl_stere Parameters: central meridian (cmer, default is center of region), standart parallel (stpar, default is center of region)
    {
     Base2Coord cmer(input,"cmer"), stpar(input,"stpar");
     if(cmer.Exist())
     {
      bool suc=true;
      p.cyl_stere.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.cyl_stere.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.cyl_stere.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else if(changetype) p.cyl_stere.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     break;
    }
    default: goto fail; // Unknown projection
   }

   // Try to find width parameter
   if(!upd) p.width=p.default_width;
   {
    BaseM2Nonneg w(input,"width","w"),h(input,"height","h");
    bool suc=true;
    if(w.Exist()) // width is present
    {
     p.width=w(&suc);
     if(!suc) goto fail; // Parameter width exists, but can't be converted to double
     if(!ProjectionRealSize(p)) goto fail; // Something go wrong with determining real dimensions
    }
    else if(h.Exist()) // width is not present, but height is present
    {
     double hval=h(&suc);
     if(!suc) goto fail; // Parameter height exists, but can't be converted to double
     if(gmt_projection::XY==p.proj) p.width=hval; // For decart projection we use height as width if width is not specified
     if(!ProjectionRealSize(p,hval)) goto fail; // Something go wrong with determining real dimensions
    }
    else // No width, no height, using default or old width
    if(!ProjectionRealSize(p)) goto fail; // Something go wrong with determining real dimensions
   }
   return p; // All parameters setted
  }

  case4:

  // Case 4
  if(size>=3)
  {
   // First argument, try to set type of projection
   {
    Base2String type(input,0);
    bool suc=true;
    std::string typestr;
    typestr=type(&suc);
    if(!suc) goto fail; // No type - no projection
    if(!p.SetType(typestr)) goto fail; // Unknown type - no projection
   }
   // Second argument, set up width
   {
    Base2Double w(input,1);
    bool suc=true;
    p.width=w(&suc);
    if(!suc) goto fail; // Conversion failed, no width
   }
   // Third argument, set up region
   {
    Base2Region reg(input,2);
    bool suc=true;
    p.region=reg(&suc);
    if(!suc) goto fail; // Conversion failed, no region
   }

   // Projection specific parameters
   switch(p.proj)
   {
    case(gmt_projection::XY): // x Parameter 4 is height (by default equal width)
    {
     Base2Double height(input,3);
     if(height.Exist())
     {
      bool suc=true;
      p.x.height=height(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.x.height=p.width;
     if(size>4) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::CYL_EQU): // q Parameters: 4 is central meridian (default is center of region), 5 is standart parallel (default is center of region)
    {
     Base2Coord cmer(input,3), stpar(input,4);
     if(cmer.Exist())
     {
      bool suc=true;
      p.q.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.q.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.q.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.q.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     if(size>5) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::MERCATOR): // m Parameters: 4 is central meridian (default is center of region), 5 is standart parallel (default is center of region)
    {
     Base2Coord cmer(input,3), stpar(input,4);
     if(cmer.Exist())
     {
      bool suc=true;
      p.m.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.m.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.m.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.m.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     if(size>5) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::TRANSMERCATOR): // t Parameters: 4 is central meridian (default is center of region), 5 is latitude of origin (default is 0.0), 6 is scale factor (default is 1.0)
    {
     Base2Coord cmer(input,3), orlat(input,4);
     Base2Double scale(input,5);
     if(cmer.Exist())
     {
      bool suc=true;
      p.t.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.t.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(orlat.Exist())
     {
      bool suc=true;
      p.t.orlat=orlat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.t.orlat.Convert(0.0);
     if(scale.Exist())
     {
      bool suc=true;
      p.t.scale=scale(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.t.scale=1.0;
     if(size>6) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::OBLIQMERCATOR): // o There is no default values for this projection. Parameters: 4 is subtype ("a" or "azimuth", "b" or "equator", "c" or "pole"), 5 is longitude of projection center, 6 is latitude of projection center. Other parameters may form one of three combinations. 1) 7 is azimuth of the oblique equator. 2) Longitude and latitude of second point on oblique equator (7, 8). 3) Longitude and latitude of projection pole (7, 8).
    {
     if(size<4) goto fail; // Insufficient data for this projection
     OBType<ObjectString> stype(input->At(3));
     if(!stype) goto fail; // Incorrect parameter type
     std::string subtype=stype->Value();
     tolower(subtype);
     Base2Coord clon(input,4), clat(input,5);
     Base2Coord azimuth(input,6), eqlon(input,6), eqlat(input,7), polelon(input,6), polelat(input,7);
     p.o.type=gmt_projection::OType::NOTDEF;
     {
      bool suc=true;
      p.o.clon=clon(&suc);
      p.o.clat=clat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     // Variant 1
     if("a"==subtype || "azimuth"==subtype)
     {
      p.o.type=gmt_projection::OType::A;
      bool suc=true;
      p.o.azimuth=azimuth(&suc);
      if(!suc) goto fail; // Parsing error
      if(size>7) goto fail; // Unknown parameter(s)
     }
     if("b"==subtype || "equator"==subtype)
     {
      p.o.type=gmt_projection::OType::B;
      bool suc=true;
      p.o.eqlon=eqlon(&suc);
      p.o.eqlat=eqlat(&suc);
      if(!suc) goto fail; // Parsing error
      if(size>8) goto fail; // Unknown parameter(s)
     }
     if("c"==subtype || "pole"==subtype)
     {
      p.o.type=gmt_projection::OType::C;
      bool suc=true;
      p.o.polelon=polelon(&suc);
      p.o.polelat=polelat(&suc);
      if(!suc) goto fail; // Parsing error
      if(size>8) goto fail; // Unknown parameter(s)
     }
     if(gmt_projection::OType::NOTDEF==p.o.type) goto fail; // Insufficient data for this projection
     break;
    }
    case(gmt_projection::CASSINI): // c Parameters: longitude (4, default is center of region) and latitude (5, default is center of region) of central point.
    {
     Base2Coord clon(input,3), clat(input,4);
     if(clon.Exist())
     {
      bool suc=true;
      p.c.clon=clon(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.c.clon.Convert((p.region.xb+p.region.xe)*0.5);
     if(clat.Exist())
     {
      bool suc=true;
      p.c.clat=clat(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.c.clat.Convert((p.region.yb+p.region.ye)*0.5);
     if(size>5) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::CYL_EQA): // y Parameters: central meridian (4, default is center of region), standart parallel (5, default is center of region)
    {
     Base2Coord cmer(input,3), stpar(input,4);
     if(cmer.Exist())
     {
      bool suc=true;
      p.y.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.y.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.y.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.y.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     if(size>5) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::MILLER): // j Parameters: central meridian (4, default is center of region)
    {
     Base2Coord cmer(input,3);
     if(cmer.Exist())
     {
      bool suc=true;
      p.j.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.j.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(size>4) goto fail; // Unknown parameter(s)
     break;
    }
    case(gmt_projection::CYL_STERE): // cyl_stere Parameters: central meridian (3, default is center of region), standart parallel (4, default is center of region)
    {
     Base2Coord cmer(input,3), stpar(input,4);
     if(cmer.Exist())
     {
      bool suc=true;
      p.cyl_stere.cmer=cmer(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.cyl_stere.cmer.Convert((p.region.xb+p.region.xe)*0.5);
     if(stpar.Exist())
     {
      bool suc=true;
      p.cyl_stere.stpar=stpar(&suc);
      if(!suc) goto fail; // Parsing error
     }
     else p.cyl_stere.stpar.Convert((p.region.yb+p.region.ye)*0.5);
     if(size>5) goto fail; // Unknown parameter(s)
     break;
    }
    default: goto fail; // Unknown projection
   }
   if(ProjectionRealSize(p)) return p;
  }

  fail:
  *issuc=false;
  return p; // Something go wrong
 }
};

// Helper types
typedef GetDouble<SourceDefaultVal<>,PMin<0>,PMax<255> > Base2RGB;
typedef GetDouble<SourceDefaultVal<>,PMin<0>,PMax<360> > Base2Hue;
typedef GetDouble<SourceDefaultVal<>,PMin<0>,PMax<1> > Base2SV;
typedef GetDouble<SourceDefaultVal<>,PMin<0>,PMax<100> > Base2CMYK;
typedef GetDouble<SourceDefaultVal<>,PMin<0>,PMax<100> > Base2Transp;

typedef GetDouble<SourceMultiInputNames<double>,PMin<0>,PMax<255> > BaseM2RGB;
typedef GetDouble<SourceMultiInputNames<double>,PMin<0>,PMax<360> > BaseM2Hue;
typedef GetDouble<SourceMultiInputNames<double>,PMin<0>,PMax<1> > BaseM2SV;
typedef GetDouble<SourceMultiInputNames<double>,PMin<0>,PMax<100> > BaseM2CMYK;
typedef GetDouble<SourceMultiInputNames<double>,PMin<0>,PMax<100> > BaseM2Transp;

// Converting List to GMTColor
/*
Input:
1) One argument, Color. Return copy of this argument.
2) One argument, list. Recursively calling GMT_Color.
3) Pairs list. Names are gray (grey), r(red),g(green),b(blue), h(hue),s(sat,saturation),v(value), c(cyan),m(magenta),y(yellow),k(black) and t(transp,transparency).
The different color models can't be mixed.
Gray, r, g, b are doubles in the range 0-255, h is double in the range 0-360, s and v are doubles in the range 0-1 and c, m, y, k and transparency are doubles in the range 0-100. Default value for all parameters is 0.
If pair with name color exists in list, when recursively calling GMT_Color on the value of this parameter, when modify it with specified parameters.
If argument with type Color exists in list, when copy it and modify with specified parameters. In both cases color model changing as specified by parameters.
4) One argument, interprets as gray.
5) Three arguments, interprets as r, g, b.
6) Four arguments, interprets as c, m, y, k.
Transparency or HSV model can be set only in form 3.
*/
template<>
class Convert2Struct<struct gmt_color, ObjectList>
{
 public:
 struct gmt_color operator()(const ObjectList* input, bool* issuc) const
 {
  struct gmt_color c;
  auto size=input->Size();

  if(1==size) // Cases 1, 2 and 4
  {
   Base2Color color(input,0);
   bool suc=true;
   c=color(&suc);
   if(!suc) goto fail; // Conversion failed
   return c;
  }

  // Case 3
  {
   bool cmodset=false;
   bool upd;
   {
    SearchParameter<struct gmt_color> updarg(input,"color");
    bool suc=true;
    c=updarg(&upd,&suc);
    if(upd && !suc) goto fail; // Conversion failed or too many arguments
   }
   if(!upd)
   {
    // default color is black
    c.transparency=0;
    c.model=gmt_color::GRAY;
    c.gray=0.0;
   }

   {
    BaseM2Transp t(input,"t","transp","transparency");
    if(t.Exist())
    {
     bool suc=true;
     c.transparency=t(&suc);
     if(!suc) goto fail; // Parsing error
    }
   }

   // GRAY
   {
    BaseM2RGB g(input,"gray","grey");
    if(g.Exist())
    {
     if(cmodset) goto fail; // Model already set
     bool suc=true;
     c.model=gmt_color::GRAY;
     c.gray=g(&suc); // Update mode ignored in this case
     if(!suc) goto fail; // Parsing error
     cmodset=true;
    }
   }

   // RGB
   {
    BaseM2RGB r(input,"r","red"), g(input,"g","green"), b(input,"b","blue");
    if(r.Exist() || g.Exist() || b.Exist())
    {
     if(cmodset) goto fail; // Model already set
     bool suc=true;
     c.ToRGB();
     if(r.Exist()) c.r=r(&suc);
     if(g.Exist()) c.g=g(&suc);
     if(b.Exist()) c.b=b(&suc);
     if(!suc) goto fail; // Parsing error
     cmodset=true;
    }
   }

   // HSV
   {
    BaseM2Hue h(input,"h","hue");
    BaseM2SV s(input,"s","sat","saturation"), v(input,"v","val","value");
    if(h.Exist() || s.Exist() || v.Exist())
    {
     if(cmodset) goto fail; // Model already set
     bool suc=true;
     c.ToHSV();
     if(h.Exist()) c.hue=h(&suc);
     if(s.Exist()) c.saturation=s(&suc);
     if(v.Exist()) c.value=v(&suc);
     if(!suc) goto fail; // Parsing error
     cmodset=true;
    }
   }

   // CMYK
   {
    BaseM2CMYK cc(input,"c","cyan"), m(input,"m","magenta"), y(input,"y","yellow"), k(input,"k","black");
    if(cc.Exist() || m.Exist() || y.Exist() || k.Exist())
    {
     if(cmodset) goto fail; // Model already set
     bool suc=true;
     c.ToCMYK();
     if(cc.Exist()) c.cyan=cc(&suc);
     if(m.Exist()) c.magenta=m(&suc);
     if(y.Exist()) c.yellow=y(&suc);
     if(k.Exist()) c.black=k(&suc);
     if(!suc) goto fail; // Parsing error
     cmodset=true;
    }
   }
   if(cmodset || upd) return c; // Color created or updated
  }

  // Case 5
  if(3==size)
  {
   Base2RGB r(input,0), g(input,1), b(input,2);
   c.model=gmt_color::RGB;
   bool suc=true;
   if(r && g && b)
   {
    c.r=r(&suc);
    c.g=g(&suc);
    c.b=b(&suc);
    if(!suc) goto fail; // Parsing error
   }
   else goto fail; // Something wrong
   return c;
  }

  // Case 6
  if(4==size)
  {
   Base2CMYK cc(input,0), m(input,1), y(input,2), k(input,3);
   c.model=gmt_color::CMYK;
   bool suc=true;
   if(cc && m && y && k)
   {
    c.cyan=cc(&suc);
    c.magenta=m(&suc);
    c.yellow=y(&suc);
    c.black=k(&suc);
    if(!suc) goto fail; // Parsing error
   }
   else goto fail; // Something wrong
   return c;
  }

  fail:
  *issuc=false;
  return c; // Something go wrong
 }
};

// Helper types
typedef GetDouble<SourceDefaultVal<>,PMin<0> > Base2Width;
typedef GetDouble<SourceMultiInputNames<double>,PMin<0> > BaseM2Width;

// Converting List to GMTPen
/*
Input:
1) One argument, Pen. Return copy of this argument.
2) One argument, list. Recursively calling GMT_Pen.
3) Pairs list. Names are width (w), color(c), dash(f). Default values is 1 for width, black for color and solid for dash.
If pair with name pen(p) exists in list, when recursively calling GMT_Line on the value of this parameter, when modify it with specified parameters.
If argument with type Pen exists in list, when copy it and modify with specified parameters.
Instead of color and dash unnamed parameters with Color and Dash types may be used.
4) One argument, interprets as width of black solid line.
5) Two arguments, interprets as width and color of solid line.
6) Three arguments, interprets as width, color and dash.
*/

template<>
class Convert2Struct<struct gmt_pen, ObjectList>
{
 public:

 struct gmt_pen operator()(const ObjectList* input, bool* issuc) const
 {
  struct gmt_pen p;
  auto size=input->Size();

  if(1==size) // Cases 1, 2 and 4
  {
   Base2Pen pen(input,0);
   bool suc=true;
   p=pen(&suc);
   if(!suc) goto fail; // Conversion failed
   return p;
  }

  // Case 3
  {
   bool casevalid=false;
   bool upd;
   {
    SearchParameter<struct gmt_pen> updarg(input,"pen","p");
    bool suc=true;
    p=updarg(&upd,&suc);
    if(upd && !suc) goto fail; // Conversion failed or too many arguments
   }

   if(!upd)
   {
    // default pen is solid black 1mm width
    p.width=gmt_pen::default_width;
    p.color.Convert(0);
    p.dash.Clear();
   }

   {
    BaseM2Width w(input,"w","width");
    if(w.Exist())
    {
     bool suc=true;
     p.width=w(&suc);
     if(!suc) goto fail; // Parsing error
     casevalid=true;
    }
   }

   // Color
   {
    SearchParameter<struct gmt_color> color(input,"color","c");
    if(color.Exist())
    {
     bool suc=true;
     p.color=color(&suc);
     if(!suc) goto fail;  // Parsing error
     casevalid=true;
    }
   }

   // Dash
   {
    SearchParameter<struct gmt_dash> dash(input,"dash","d");
    if(dash.Exist())
    {
     bool suc=true;
     p.dash=dash(&suc);
     if(!suc) goto fail;  // Parsing error
     p.dash.width=p.width;
     casevalid=true;
    }
   }

   if(casevalid || upd) return p; // Pen created or updated
  }

  // Case 5 and 6
  if(2==size || 3==size)
  {
   Base2Width w(input,0);
   Base2Color c(input,1);
   Base2Dash d(input,2);
   bool suc=true;
   if(w && c)
   {
    p.width=w(&suc);
    p.color=c(&suc);
   }
   else goto fail; // Something wrong
   if(d) p.dash=d(&suc,p.width);
   if(!suc) goto fail; // Something wrong
   return p;
  }

  fail:
  *issuc=false;
  return p; // Something go wrong
 }
};


// Converting List to GMTFont
/*
Input:
1) One argument, Font. Return copy of this argument.
2) One argument, list. Recursively calling GMT_Font.
3) Pairs list. Names are size (s), family (f) and color(c). Default values is 12pt for size, Times-Roman for family and black for color.
If pair with name font exists in list, when recursively calling GMT_Font on the value of this parameter, when modify it with specified parameters.
If argument with type Font exists in list, when copy it and modify with specified parameters.
Instead of color unnamed parameter with Color type may be used.
4) One numeric argument, interprets as size of Times-Roman black font.
5) One string argument, interprets as [size][,family][,color] or [family][,color].
6) Two arguments, interprets as size and family of black font.
7) Three arguments, interprets as size, family and color.
*/

template<>
class Convert2Struct<struct gmt_font, ObjectList>
{
 public:

 struct gmt_font operator()(const ObjectList* input, bool* issuc) const
 {
  struct gmt_font f;
  auto size=input->Size();

  if(1==size) // Cases 1, 2, 4 and 5
  {
   Base2Font font(input,0);
   bool suc=true;
   f=font(&suc);
   if(!suc) goto fail; // Conversion failed
   return f;
  }

  // Case 3
  {
   bool casevalid=false;
   bool upd;
   {
    SearchParameter<struct gmt_font> updarg(input,"font");
    bool suc=true;
    f=updarg(&upd,&suc);
    if(upd && !suc) goto fail; // Conversion failed or too many arguments
   }

   if(!upd)
   {
    // default font is Times-Roman, 12pt, black
    f.size=gmt_font::default_size;
    f.color.Convert(0);
    f.family=gmt_font::default_family;
   }

   // Size
   {
    BaseM2Width s(input,"s","size");
    if(s.Exist())
    {
     bool suc=true;
     f.size=s(&suc);
     if(!suc) goto fail; // Parsing error
     casevalid=true;
    }
   }

   // Family
   {
    SearchParameter<std::string> family(input,"family","f");
    if(family.Exist())
    {
     bool suc=true;
     f.family=family(&suc);
     if(!suc) goto fail;  // Parsing error
     casevalid=true;
    }
   }

   // Color
   {
    SearchParameter<struct gmt_color> color(input,"color","c");
    if(color.Exist())
    {
     bool suc=true;
     f.color=color(&suc);
     if(!suc) goto fail;  // Parsing error
     casevalid=true;
    }
   }

   if(casevalid || upd) return f; // Pen created or updated
  }

  // Case 6 and 7
  if(2==size || 3==size)
  {
   Base2Width s(input,0);
   Base2String fam(input,1);
   Base2Color c(input,2);
   bool suc=true;
   if(s && fam)
   {
    f.size=s(&suc);
    f.family=fam(&suc);
   }
   else goto fail; // Something wrong
   if(c) f.color=c(&suc);
   if(!suc) goto fail; // Something wrong
   return f;
  }

  fail:
  *issuc=false;
  return f; // Something go wrong
 }
};

// Template for generating GMTObject from ObjectList
template<class Struct>
ObjectBase* GMT_Type(const ObjectList* input)
{
 bool suc=true;
 Struct s=Convert2Struct<Struct,ObjectList>()(input,&suc);
 if(suc) return new ObjectGMTClass<Struct>(s);
 else return 0;
}

// Shift position of layer
ObjectBase* GMT_LayerShift(const ObjectList* input);

#endif