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Import the second public release of PHCpack.

OKed by Jan Verschelde.

with text_io;                            use text_io;
with Standard_Natural_Matrices;
with Standard_Complex_Matrices;
with Standard_Complex_VecMats;
with Standard_Complex_Poly_Systems;      use Standard_Complex_Poly_Systems;
with Localization_Posets;                use Localization_Posets;

package Pieri_Continuation is

-- DESCRIPTION :
--   Invokes the polynomial continuation on the Pieri homotopies.

  procedure Trace_Paths
               ( file : in file_type; homsys : in Poly_Sys;
                 locmap : in Standard_Natural_Matrices.Matrix;
                 report,outlog : in boolean;
                 plane : in out Standard_Complex_Matrices.Matrix );

  -- DESCRIPTION :
  --   Traces the paths defined by the Pieri homtopy for one given plane.

  -- ON ENTRY :
  --   file      to write intermediate results on;
  --   homsys    Pieri homotopy, where t is the last variable;
  --   locmap    localization pattern, 0,1 in identity, 2 = free;
  --   report    switch to indicate whether reporting path tracker;
  --   outlog    if switched on, writes homotopies;
  --   plane     solution plane at t = 0.

  -- ON RETURN :
  --   plane     solution plane at t = 1.

  procedure Trace_Paths
               ( file : in file_type; homsys : in Poly_Sys;
                 locmap : in Standard_Natural_Matrices.Matrix;
                 report,outlog : in boolean;
                 planes : in Standard_Complex_VecMats.VecMat );

  -- DESCRIPTION :
  --   Traces the paths defined by the Pieri homotopy to all planes.


  -- ON ENTRY :
  --   file      to write intermediate results on;
  --   homsys    Pieri homotopy, with t as last variable;
  --   locmap    localization pattern, 0,1 in identity, 2 = free;
  --   report    switch to indicate whether reporting path tracker;
  --   outlog    if switched on, writes homotopies;
  --   planes    solution planes at t = 0.

  -- ON RETURN :
  --   planes    solution planes at t = 1.

  procedure Quantum_Trace_Paths
               ( file : in file_type; m,p,q : in natural; nd : in Node;
                 homsys : in Poly_Sys; conpar,s_mode : in natural;
                 locmap : in Standard_Natural_Matrices.Matrix;
                 report,outlog : in boolean;
                 planes : in Standard_Complex_VecMats.VecMat );

  -- DESCRIPTION :
  --   The q-analogue of the path tracing, with (m,p,q), top and bottom
  --   pivots as additional parameters.
  --   The continuation parameter is the variable with number conpar.
  --   The s_mode determines the starting value for s, if s_mode = 0
  --   then s is zero, otherwise s is one at the start.

end Pieri_Continuation;