- Enrolled in PostGraduate Program at Indian Institute of Management, Bangalore.
- Bachelors in Architecture at Indian Institute of Technology, Kharagpur.

- code added to cc command to add an empty rt_constraint object to the database

- cc (create constraint) framework added

- lscon command framework added to libged

- Expression grammar defined

Continuing with the libpc work from last gsoc, the proposal is for providing the following functionalities in mged/libged for the end-user

- creation/modification of constraint objects
- a solve command for solving a set of constraints / all the constraints in the loaded .g file
- options for selection from a range of solutions if possible

for achieving the same, the work falls under the following heads

- An inclusive definition of constraint grammar on the basis of the existing Math grammar which can be easily extened later.
- Integration with libged - framework for calls into librt and libpc for solution, storage and updation.
- Writing a robust modular constraint solver
- Testing of the framework throughout

The status of libpc project as of now is as follows.

- Abstraction Framework - Objects implemented : Parameters, Variables and Constraints, Constraint Network
- Solution System - Generic solver testing all possible variable assignment combinations, Graph specific solver using boost graph library
- Math Virtual Machine (work in progress) - expected to be complete with around 400 to 500 lines of code change at max.
- Basic constraint I/O in librt - will need changes till constraint grammar is finalized

Project definition for the approximately 480 coding hours of gsoc ( May 23rd to August 10th) is as follows.

**1. Constraint grammar (~90 hours)**

This would be dependent on the underlying Math grammar system. Testing out the grammar system would include correct parsing of expressions implying the constraints into the constraint objects. For instance ( " tangential(ell1, sph1)" being parsed into the correct constraint objects containing evaluating functions in terms of the variables)

**2. Integration with libged/librt (~230 hours)**

The purpose is to create adequate commands for the creation and modification of constraint objects and their "solving". libged would interface with the user and the already existing code and its modification will provide database I/O. This work can be done along with the development of the constraint grammar work mentioned above since both are in a way interdepedent.

**3. Solution system (~75 hours)**

Undoubtedly the most important aspect of the constraint system. Two approaches can be taken for modularity of the solver from other parts of libpc. One way would be to use a server-client model possibly using inter-process communication or a simple file based transfer of data between the two. Alternatively it could be a part of the libpc library itself requiring a particular format of the constraint satisfaction problem. This could be passed on to the solver as string data or as a data structure. Of the various approaches towards solving geometrical constraints, I am slightly in favour of graph-constructive methods over the others (see #1) But eventually I think something like a Locus Intersection method (#4) which is a hybrid between the computational and search approaches would be ideal. One of the reasons I feel that the solver should be completely independent of the constraint satisfaction problem definition or representation is the fact that it is a field rapidly undergoing changes in terms of new approaches. The priority of course is for the creation of a basic overall framework that is user accessible rather than an extremely fine tuned solver. Depending on the rapidity with which libged progresses, more time can be alloted for this job over the other heads mentioned.

**4. Test Use-cases for the entire framework (~90 hours)**

This involves using the libpc framework for doing the rt_prep checks for each of the geometry primitives as well as the testing of the entire framework spread throughout the development process. This work can be pursued independent of the work on the solution system , using the existing generic solver. Also in terms of implementation this would be a good start to finalize the common type of constraints grammar wise ( parallelism, perpendicularity etc.) The estimate for testing is approximately at the rate of 1 day of work per week.

**Pre GSoC**

- Math VM/ Grammar completion
- Documentation Overhaul
- Do further groundwork on Solver
- Finalize expected commands, argument set and output

**May 23 - July 6 (~ 6 weeks)**

- libged commands
- create constraint (ongoing)
- edit constraint
- display constraint (ongoing)

- Finalizing Constraint grammar
- Test of the creation and display

**July 6 - August 10 (~ 5 weeks)**

- libged commands
- solve
- select solution

- Complete Solver work
- Test the solve/ select solution use-cases
- Further overall testing **
- librt rt_prep checks transition to libpc**

** if ahead of schedule at mid-term analysis

**Post GSoC**

- Add further commands to the ui
- Improve solver(s)
- Increase the number of "available/hard-coded" constraint types
- Improve the solution display / selection system ?

- Some tinkering is also needed to make the existing code more modular.
- There is also a "small" memory leak in the solver which needs to be taken care of.
- In the long run, I am sure that the rigor of the solver would be the major factor in terms of usability as well as performance. Even though I have been toying around with some generic constraint solvers as well as geometric ones, I haven't found one which could be easily integrated into brl-cad. The ideal approach would be to make the solver an independent module. This would not only support using multiple solvers by using the same "protocol or format", but also simplify the process of progress in terms of solver optimizations.

[1] A geometric Constraint Solver, W Bouma, I Fudos, C Hoffmann, J Cai, R Paige - Computer Aided Design, 1995

[2] A Modular Geometric Constraint Solver for User Interface Applications, Hiroshi Hosobe , ACM symposium on User interface software and technology, 2001

[3] Solving geometric constraint systems, GA Kramer, BB Qh - 1992]

[4] Solving spatial basic geometric constraint configurations with locus intersection, XS Gao, CM Hoffmann, WQ Yang - Computer-Aided Design, 2004 - Elsevier doi:10.1016/S0010-4485(03)00056-3