I'm not sure what the best approach for an API for this feature would be but I have a few ideas:

  ParametrizedLine<float,3> line( Vector3f(), Vector3f(1,1,1) );

  Vector3f solution;
  Vector3f parameters( 2, 0, 0 );
  Vector3f mask( 1, 0, 0 );

  solution = line.solve( parameters, mask );

or

  int paramIndex = 0;
  solution = line.solve( parameters, paramIndex );

or

  float parameter = 2;
  int   paramIndex = 0;
  solution = line.solve( parameter, paramIndex );


For HyperPlane:

   HyperPlane<float,3> plane( Vector3f(1,1,1).normalized(), Vector3f() );

   ParametrizedLine<float,3> lineSolution;
   Vector3f                  pointSolution;

   float parameter   = 0;
   int   paramIndex  = 0;
   lineSolution      = plane.solve( parameter, paramIndex );


   float param1      = 0;
   int   param1Index = 0;
   float param2      = 0;
   int   param2Index = 1;
   pointSolution     = plane.solve( param1, param1Index, param2, param2Index );

or

   int   param1Index = 0;
   int   param2Index = 1;
   Vector3f parameters( 2, 3, 0 );

   pointSolution     = plane.solve( parameters, param1Index, param2Index );


Thoughts?

Hi,

sorry but I don't really understand what you want here. It seems to me that what you want is simply the intersection of a line and plane where one of the object is aligned on the axes, right? Then we already have that trough the intersection() method. E.g.:

ParametrizedLine3f line( Vector3f(), Vector3f(1,1,1) );

Vector3f solution;
Vector3f parameters( 2, 0, 0 );
Vector3f mask( 1, 0, 0 );

solution = line.intersection(Hyperplane3f(parameters,mask));

> sorry but I don't really understand what you want here. It seems to me that
> what you want is simply the intersection of a line and plane

Which just goes to show that I shouldn't enter bugs/feature requests late at night.

Anyway, I think only covers on of 3 cases. If I'm thinking correctly there are still 2 cases not covered:

Intersection of two lines, and the intersection of two hyperplanes.

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