File: [local] / OpenXM_contrib / PHC / Ada / Root_Counts / Stalift / drivers_for_static_lifting.adb (download)
Revision 1.1.1.1 (vendor branch), Sun Oct 29 17:45:29 2000 UTC (23 years, 10 months ago) by maekawa
Branch: PHC, MAIN
CVS Tags: v2, maekawa-ipv6, RELEASE_1_2_3, RELEASE_1_2_2_KNOPPIX_b, RELEASE_1_2_2_KNOPPIX, RELEASE_1_2_2, RELEASE_1_2_1, HEAD Changes since 1.1: +0 -0
lines
Import the second public release of PHCpack.
OKed by Jan Verschelde.
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with integer_io; use integer_io;
with Communications_with_User; use Communications_with_User;
with Timing_Package; use Timing_Package;
with Standard_Floating_Numbers; use Standard_Floating_Numbers;
with Standard_Complex_Numbers; use Standard_Complex_Numbers;
with Standard_Integer_Vectors; use Standard_Integer_Vectors;
with Standard_Integer_Vectors_io; use Standard_Integer_Vectors_io;
with Standard_Floating_Vectors;
with Standard_Floating_Vectors_io; use Standard_Floating_Vectors_io;
with Standard_Complex_Vectors;
with Standard_Complex_Vectors_io; use Standard_Complex_Vectors_io;
with Standard_Integer_VecVecs;
with Standard_Integer_VecVecs_io; use Standard_Integer_VecVecs_io;
with Standard_Floating_VecVecs;
with Standard_Complex_VecVecs;
with Standard_Complex_Poly_Systems_io; use Standard_Complex_Poly_Systems_io;
with Standard_Complex_Laur_Polys; use Standard_Complex_Laur_Polys;
with Standard_Complex_Laur_Functions; use Standard_Complex_Laur_Functions;
with Standard_Complex_Laur_Systems; use Standard_Complex_Laur_Systems;
with Standard_Complex_Laur_SysFun; use Standard_Complex_Laur_SysFun;
with Standard_Complex_Laur_Jacomats; use Standard_Complex_Laur_Jacomats;
with Exponent_Vectors; use Exponent_Vectors;
with Standard_Poly_Laur_Convertors; use Standard_Poly_Laur_Convertors;
with Standard_Laur_Poly_Convertors; use Standard_Laur_Poly_Convertors;
with Lists_of_Integer_Vectors; use Lists_of_Integer_Vectors;
with Lists_of_Integer_Vectors_io; use Lists_of_Integer_Vectors_io;
with Arrays_of_Integer_Vector_Lists; use Arrays_of_Integer_Vector_Lists;
with Arrays_of_Integer_Vector_Lists_io; use Arrays_of_Integer_Vector_Lists_io;
with Arrays_of_Floating_Vector_Lists; use Arrays_of_Floating_Vector_Lists;
with Floating_Integer_Convertors; use Floating_Integer_Convertors;
with Integer_Faces_of_Polytope;
with Floating_Faces_of_Polytope;
with Standard_Complex_Solutions; use Standard_Complex_Solutions;
with Standard_Complex_Solutions_io; use Standard_Complex_Solutions_io;
with Power_Lists; use Power_Lists;
with Transforming_Integer_Vector_Lists; use Transforming_Integer_Vector_Lists;
with Integer_Mixed_Subdivisions;
with Integer_Mixed_Subdivisions_io; use Integer_Mixed_Subdivisions_io;
with Floating_Mixed_Subdivisions;
with Floating_Mixed_Subdivisions_io; use Floating_Mixed_Subdivisions_io;
with Mixed_Volume_Computation; use Mixed_Volume_Computation;
with Integer_Lifting_Functions; use Integer_Lifting_Functions;
with Integer_Lifting_Utilities; use Integer_Lifting_Utilities;
with Floating_Lifting_Functions; use Floating_Lifting_Functions;
with Floating_Lifting_Utilities; use Floating_Lifting_Utilities;
with Integer_Pruning_Methods; use Integer_Pruning_Methods;
with Floating_Pruning_Methods; use Floating_Pruning_Methods;
with Driver_for_Criterion;
with Drivers_for_Lifting_Functions; use Drivers_for_Lifting_Functions;
with Pruning_Statistics;
with Integer_Polyhedral_Continuation; use Integer_Polyhedral_Continuation;
with Floating_Polyhedral_Continuation; use Floating_Polyhedral_Continuation;
--with Power_Polyhedral_Continuation; use Power_Polyhedral_Continuation;
with Driver_for_Polyhedral_Continuation;
package body Drivers_for_Static_Lifting is
procedure Static_Lifting_Info is
i : array(1..11) of string(1..65);
begin
i( 1):=" Static lifting is a general procedure to construct regular";
i( 2):="mixed subdivisions of a tuple of polytopes. For mixed-volume";
i( 3):="computation, only those cells that are spanned by a tuple of";
i( 4):="edges contribute to the mixed volume. These cells are the so-";
i( 5):="called mixed cells in the subdivision. The collection of mixed";
i( 6):="cells is computed efficiently by pruning in the tree of lifted";
i( 7):="edge-edge combinations. ";
i( 8):=" These mixed cells provide the start systems in the polyhedral";
i( 9):="homotopy methods used to solve a random coefficient start system.";
i(10):="Recursion is applied in case the lifting does not induce at once";
i(11):="a fine mixed subdivision. ";
for k in i'range loop
put_line(i(k));
end loop;
end Static_Lifting_Info;
procedure Driver_for_Mixed_Volume_Computation
( file : in file_type; p : in Poly_Sys; byebye : in boolean;
q : out Poly_Sys; qsols : out Solution_List;
mv : out natural ) is
welcome : constant string := "Mixed-Volume Computation by Static Lifting";
permp : Poly_Sys(p'range); -- permuted system
tmv,nbcells : natural;
mix : Standard_Integer_Vectors.Link_to_Vector;
imixsub : Integer_Mixed_Subdivisions.Mixed_Subdivision;
fmixsub : Floating_Mixed_Subdivisions.Mixed_Subdivision;
-- the switches, to do or not to do, if true then :
compmix : boolean; -- compute the type of mixture
compmisu : boolean; -- compute the subdivision
report : boolean; -- report during creation of the subdivision
misufile : boolean; -- put the subdivision on separate file
tosolve : boolean; -- solve the system
ranstart : boolean; -- construct random coefficient start system
contrep : boolean; -- intermediate output during continuation
-- the files :
solsft,gft : file_type;
-- AUXILIARIES :
function Select_Terms
( p : Poly_Sys; mix : Standard_Integer_Vectors.Vector;
pts : Arrays_of_Integer_Vector_Lists.Array_of_Lists )
return Poly_Sys is
-- DESCRIPTION :
-- Returns those terms of p whose exponents belong to the lists pts.
-- The type of mixture is in mix and pts'range = mix'range.
res : Poly_Sys(p'range);
ind : natural := 0;
begin
for i in pts'range loop
for j in 1..mix(i) loop
ind := ind + 1;
res(ind) := Select_Terms(p(ind),pts(i));
end loop;
end loop;
return res;
end Select_Terms;
function Select_Lifted
( p : Poly_Sys; mix : Standard_Integer_Vectors.Vector;
lifsup : Arrays_of_Floating_Vector_Lists.Array_of_Lists )
return Poly_Sys is
-- DESCRIPTION :
-- Returns the system whose terms have exponents that occur in the
-- lifted supports.
res : Poly_Sys(p'range);
intsup : Arrays_of_Integer_Vector_Lists.Array_of_Lists(lifsup'range);
begin
intsup := Convert(lifsup);
for i in intsup'range loop
Reduce(intsup(i),p'last+1);
end loop;
res := Select_Terms(p,mix,intsup);
Arrays_of_Integer_Vector_Lists.Deep_Clear(intsup);
return res;
end Select_Lifted;
-- REPORT DURING CREATION :
procedure Write_Cell ( mic : in Integer_Mixed_Subdivisions.Mixed_Cell;
continue : out boolean ) is
vol : natural;
begin
nbcells := nbcells + 1;
put(file,"Cell no. "); put(file,nbcells,1); put_line(file," : ");
put(file," normal to cell : "); put(file,mic.nor); new_line(file);
put_line(file," the points in the cell : ");
for k in mic.pts'range loop
put(file," component "); put(file,k,1); put(file," with ");
put(file,Length_Of(mic.pts(k)),1); put_line(file," points :");
put(file,mic.pts(k));
end loop;
vol := Mixed_Volume(p'length,mix.all,mic);
put(file," with volume addition : ");
put(file,tmv,1); put(file," + "); put(file,vol,1);
tmv := tmv + vol; put(file," = "); put(file,tmv,1); new_line(file);
continue := true;
end Write_Cell;
procedure Report_and_Create1_CS is new Gen1_Create_CS(Write_Cell);
procedure Compute_Mixture
( file : in file_type; n : in natural;
compmixture : in boolean;
supports : in out Arrays_of_Integer_Vector_Lists.Array_of_Lists;
mix : in out Standard_Integer_Vectors.Link_to_Vector;
permp : out Poly_Sys ) is
-- DESCRIPTION :
-- Computes the type of mixture and permutes if necessary,
-- the equations in the polynomial system.
perm : Standard_Integer_Vectors.Link_to_Vector;
begin
if compmixture
then Compute_Mixture(supports,mix,perm);
else perm := Compute_Permutation(n,mix.all,supports);
end if;
permp := Permute(p,perm); Clear(perm);
new_line(file);
put(file,"TYPE OF MIXTURE : "); put(file,"#supports : ");
put(file,mix'last,1);
put(file," occurrences : "); put(file,mix);
new_line(file);
end Compute_Mixture;
function Expand
( mix : Vector;
points : Arrays_of_Integer_Vector_Lists.Array_of_Lists )
return Arrays_of_Integer_Vector_Lists.Array_of_Lists is
-- DESCRIPTION :
-- Returns a tuple of expanded lists, according to the type of mixture.
sum : integer := Standard_Integer_Vectors.Sum(mix);
res : Arrays_of_Integer_Vector_Lists.Array_of_Lists(1..sum);
cnt : natural := 0;
begin
for i in mix'range loop
for j in 1..mix(i) loop
cnt := cnt + 1;
res(cnt) := points(i);
end loop;
end loop;
return res;
end Expand;
procedure Write_Cardinalities
( file : in file_type;
mix,card : in Standard_Integer_Vectors.Vector ) is
begin
new_line(file);
put_line(file,"CARDINALITIES OF THE LIFTED FACES :");
new_line(file);
for i in card'range loop
put(file," #lifted "); put(file,mix(i),1);
put(file,"-faces of polytope "); put(file,i,1);
put(file," : "); put(file,card(i),1); new_line(file);
end loop;
end Write_Cardinalities;
procedure Create_Mixed_Cells
( file : in file_type; n : in natural; mix : in Vector;
mixpts : in Arrays_of_Integer_Vector_Lists.Array_of_Lists;
lifted : in out Arrays_of_Integer_Vector_Lists.Array_of_Lists;
mixsub : in out Integer_Mixed_Subdivisions.Mixed_Subdivision ) is
-- DESCRIPTION :
-- The pruning algorithm will be applied to compute the mixed cells.
use Integer_Faces_of_Polytope;
afa : Array_of_Faces(mix'range);
cardafa : Standard_Integer_Vectors.Vector(mix'range);
nbsucc,nbfail : Standard_Floating_Vectors.Vector(mix'range)
:= (mix'range => 0.0);
timer : timing_widget;
begin
tstart(timer);
for i in afa'range loop
afa(i) := Create_Lower(mix(i),n+1,lifted(i));
end loop;
tstop(timer);
for i in afa'range loop
cardafa(i) := Length_Of(afa(i));
end loop;
Write_Cardinalities(file,mix,cardafa);
new_line(file);
print_times(file,timer,"Creation of the faces of lower hull");
new_line(file);
put_line(file,"PRUNING TO EXTRACT THE MIXED CELLS :");
tstart(timer);
if report
then nbcells := 0; tmv := 0;
Report_and_Create1_CS(n,mix,afa,lifted,nbsucc,nbfail,mixsub);
else Create_CS(n,mix,afa,lifted,nbsucc,nbfail,mixsub);
end if;
tstop(timer);
Pruning_Statistics(file,nbsucc,nbfail);
new_line(file);
print_times(file,timer,"Pruning for Mixed Cells");
end Create_Mixed_Cells;
procedure Create_Mixed_Cells
( file : in file_type;
n : in natural; mix : in Standard_Integer_Vectors.Vector;
fltsup : in Arrays_of_Floating_Vector_Lists.Array_of_Lists;
lilifu : in Standard_Floating_VecVecs.Link_to_VecVec;
lifsup : in Arrays_of_Floating_Vector_Lists.Array_of_Lists;
fltsub : in out Floating_Mixed_Subdivisions.Mixed_Subdivision ) is
use Standard_Floating_VecVecs;
use Floating_Faces_of_Polytope;
timer : timing_widget;
tol : constant double_float := 10.0**(-8);
supfa,liffaces : Array_of_Faces(mix'range);
cardafa : Standard_Integer_Vectors.Vector(mix'range);
nbsucc,nbfail : Standard_Floating_Vectors.Vector(mix'range)
:= (mix'range => 0.0);
begin
tstart(timer);
if lilifu /= null
then for i in supfa'range loop
supfa(i) := Create(mix(i),n,fltsup(i),tol);
liffaces(i) := Linear_Lift(supfa(i),lilifu(i).all);
end loop;
else for i in liffaces'range loop
liffaces(i) := Create_Lower(mix(i),n+1,lifsup(i),tol);
end loop;
end if;
tstop(timer);
for i in liffaces'range loop
cardafa(i) := Length_Of(liffaces(i));
end loop;
Write_Cardinalities(file,mix,cardafa);
new_line(file);
print_times(file,timer,"Creation of the faces of lower hull");
new_line(file);
put_line(file,"PRUNING TO EXTRACT THE MIXED CELLS :");
tstart(timer);
Create(n,mix,liffaces,lifsup,tol,nbsucc,nbfail,fltsub);
tstop(timer);
Pruning_Statistics(file,nbsucc,nbfail);
new_line(file);
print_times(file,timer,"Pruning for Mixed Cells.");
end Create_Mixed_Cells;
procedure Polyhedral_Homotopy_Continuation
( file : in file_type; qq : in out Poly_Sys;
qqsols : in out Solution_List;
lifted : in Arrays_of_Integer_Vector_Lists.Array_of_Lists;
mixsub : in Integer_Mixed_Subdivisions.Mixed_Subdivision ) is
-- DESCRIPTION :
-- This procedure constructs and solves a random coefficient start system.
-- Only those monomials whose exponents occur in the subdivision are
-- contained in the start system.
timer : timing_widget;
n : constant natural := p'length;
lifted_lq,lq : Laur_Sys(q'range);
h : Eval_Coeff_Laur_Sys(q'range);
c : Standard_Complex_VecVecs.VecVec(h'range);
e : Exponent_Vectors_Array(h'range);
j : Eval_Coeff_Jaco_Mat(h'range,h'first..h'last+1);
m : Mult_Factors(j'range(1),j'range(2));
begin
new_line(file);
put_line(file,"POLYHEDRAL HOMOTOPY CONTINUATION :");
lq := Polynomial_to_Laurent_System(qq);
lifted_lq := Perform_Lifting(n,mix.all,lifted,lq);
Clear(lq);
lq := Eval(lifted_lq,Create(1.0),n+1);
qq := Laurent_to_Polynomial_System(lq);
h := Create(lq);
for i in c'range loop
declare
coeff_lq : constant Standard_Complex_Vectors.Vector := Coeff(lq(i));
begin
c(i) := new Standard_Complex_Vectors.Vector(coeff_lq'range);
for k in coeff_lq'range loop
c(i)(k) := coeff_lq(k);
end loop;
end;
end loop;
e := Create(lq);
Create(lq,j,m);
tstart(timer);
if contrep
then --Mixed_Solve(file,lifted_lq,mix.all,mixsub,qqsols);
Mixed_Solve(file,lifted_lq,lifted,h,c,e,j,m,mix.all,mixsub,qqsols);
else --Mixed_Solve(lifted_lq,mix.all,mixsub,qqsols);
Mixed_Solve(lifted_lq,lifted,h,c,e,j,m,mix.all,mixsub,qqsols);
end if;
tstop(timer);
new_line(file);
print_times(file,timer,"Polyhedral Continuation");
q := qq; qsols := qqsols;
end Polyhedral_Homotopy_Continuation;
function Select_Terms
( p : Poly_Sys;
lifsup : Arrays_of_Floating_Vector_Lists.Array_of_Lists )
return Poly_Sys is
-- DESCRIPTION :
-- Returns the system whose terms have exponents that occur in the
-- lifted supports.
res : Poly_Sys(p'range);
intsup : Arrays_of_Integer_Vector_Lists.Array_of_Lists(lifsup'range);
begin
intsup := Convert(lifsup);
for i in intsup'range loop
Reduce(intsup(i),p'last+1);
end loop;
res := Select_Terms(p,intsup);
Arrays_of_Integer_Vector_Lists.Deep_Clear(intsup);
return res;
end Select_Terms;
procedure Polyhedral_Homotopy_Continuation
( file : in file_type;
n : in natural; mix : in Standard_Integer_Vectors.Vector;
qq : in Poly_Sys; qqsols : in out Solution_List;
lifsup : in Arrays_of_Floating_Vector_Lists.Array_of_Lists;
fltsub : in Floating_Mixed_Subdivisions.Mixed_Subdivision;
contrep : in boolean ) is
lq : Laur_Sys(qq'range) := Polynomial_to_Laurent_System(qq);
h : Eval_Coeff_Laur_Sys(qq'range);
c : Standard_Complex_VecVecs.VecVec(h'range);
e : Exponent_Vectors_Array(h'range);
j : Eval_Coeff_Jaco_Mat(h'range,h'first..h'last+1);
m : Mult_Factors(j'range(1),j'range(2));
timer : timing_widget;
begin
new_line(file);
put_line(file,"POLYHEDRAL HOMOTOPY CONTINUATION :");
h := Create(lq);
for i in c'range loop
declare
coeff_lq : constant Standard_Complex_Vectors.Vector := Coeff(lq(i));
begin
c(i) := new Standard_Complex_Vectors.Vector(coeff_lq'range);
for k in coeff_lq'range loop
c(i)(k) := coeff_lq(k);
end loop;
end;
end loop;
e := Create(lq);
Create(lq,j,m);
tstart(timer);
if contrep
then Mixed_Solve(file,lq,lifsup,h,c,e,j,m,mix,fltsub,qqsols);
else Mixed_Solve(lq,lifsup,h,c,e,j,m,mix,fltsub,qqsols);
end if;
tstop(timer);
new_line(file);
print_times(file,timer,"Polyhedral Homotopy Continuation");
q := qq; qsols := qqsols;
end Polyhedral_Homotopy_Continuation;
procedure Volume_Computation
( file : in file_type;
n : in natural; mix : in Vector;
lifpts : in Arrays_of_Integer_Vector_Lists.Array_of_Lists;
mixsub : in out Integer_Mixed_Subdivisions.Mixed_Subdivision ) is
-- DESCRIPTION :
-- Computes the volumes of the mixed cells in mixsub.
timer : timing_widget;
mixvol : natural;
begin
new_line(file);
put_line(file,"VOLUMES OF MIXED CELLS :");
new_line(file);
tstart(timer);
put(file,n,mix,mixsub,mixvol);
tstop(timer);
put(file,"The total mixed volume equals ");
put(file,mixvol,1); new_line(file);
new_line(file);
print_times(file,timer,"Volume computation of mixed cells");
if compmisu
then mixsub := Integer_Mixed_Subdivisions.Create(lifpts,mixsub);
new_line(file);
put_line(file,"VOLUMES OF MIXED CELLS, AFTER REFINEMENT :");
new_line(file);
tstart(timer);
put(file,n,mix,mixsub,mixvol);
tstop(timer);
put(file,"The total mixed volume equals ");
put(file,mixvol,1); new_line(file);
new_line(file);
print_times(file,timer,"Volume computation of mixed cells");
end if;
mv := mixvol;
end Volume_Computation;
procedure Volume_Computation
( file : in file_type; n : in natural; mix : in Vector;
mixsub : in out Floating_Mixed_Subdivisions.Mixed_Subdivision ) is
timer : timing_widget;
mixvol : natural;
begin
new_line(file);
put_line(file,"THE MIXED SUBDIVISION : ");
new_line(file);
tstart(timer);
Floating_Mixed_Subdivisions_io.put(file,n,mix,mixsub,mixvol);
tstop(timer);
put(file,"The mixed volume equals : ");
put(file,mixvol,1); new_line(file);
new_line(file);
print_times(file,timer,"Volume computation of mixed cells");
mv := mixvol;
end Volume_Computation;
procedure Data_Management
( mix : in out Standard_Integer_Vectors.Link_to_Vector;
compmisu,compmix,fltlif : out boolean ) is
-- DESCRIPTION :
-- This procedure allows to use previously computed mixed subdivisions.
ans : character;
m : natural;
begin
new_line;
put("Do you already have a mixed subdivision ? (y/n) ");
Ask_Yes_or_No(ans);
if ans = 'y'
then put("Induced by integer or floating-point lifting (i/f) ");
Ask_Alternative(ans,"if");
fltlif := (ans = 'f');
declare
insubft : file_type;
nn : natural;
begin
put_line("Reading the name of the input file.");
Read_Name_and_Open_File(insubft);
if ans = 'f'
then get(insubft,nn,m,mix,fmixsub);
else get(insubft,nn,m,mix,imixsub);
end if;
Close(insubft);
new_line(file);
put_line(file,"Mixed subdivision supplied by user.");
new_line(file);
compmisu := false; compmix := false;
exception
when DATA_ERROR
=> put_line("Data not in correct format. Will ignore it...");
Close(insubft);
end;
else compmisu := true;
put("Do you want to enforce a type mixture ? (y/n) ");
Ask_Yes_or_No(ans);
if ans = 'y'
then put("Give number of different supports : "); get(m);
put("Give vector indicating occurrences : ");
get(m,mix);
compmix := false;
else compmix := true;
end if;
end if;
end Data_Management;
procedure Main_Driver is
n : constant natural := p'length;
sp,qq : Poly_Sys(p'range);
qqsols : Solution_List;
totaltimer : timing_widget;
points : Arrays_of_Integer_Vector_Lists.Array_of_Lists(p'range);
ilili : Standard_Integer_VecVecs.Link_to_VecVec;
flili : Standard_Floating_VecVecs.Link_to_VecVec;
fltlif : boolean;
mixpts,mixpts1,ilifpts
: Arrays_of_Integer_Vector_Lists.Link_to_Array_of_Lists;
fpts,flifpts : Arrays_of_Floating_Vector_Lists.Link_to_Array_of_Lists;
ans : character;
outsubft : file_type;
procedure Driver_for_Integer_Lifting is
begin
if compmisu
then new_line;
put("Do you want intermediate output on file,");
put(" during creation ? (y/n) ");
Ask_Yes_or_No(ans);
report := (ans = 'y');
put("Do you want the mixed cells on separate file ? (y/n) ");
Ask_Yes_or_No(ans);
misufile := (ans = 'y');
if misufile
then put_line("Reading the name of the output file.");
Read_Name_and_Create_File(outsubft);
end if;
else ilifpts.all := Induced_Lifting(n,mix.all,points,imixsub);
end if;
Driver_for_Polyhedral_Continuation
(file,sp,0,byebye,qq,gft,solsft,tosolve,ranstart,contrep);
if compmisu
then Create_Mixed_Cells(file,n,mix.all,mixpts.all,ilifpts.all,imixsub);
end if;
if not Integer_Mixed_Subdivisions.Is_Null(imixsub)
then Volume_Computation(file,n,mix.all,ilifpts.all,imixsub);
if compmisu and then misufile
then put(outsubft,n,mix.all,imixsub);
end if;
if tosolve
then Polyhedral_Homotopy_Continuation
(file,qq,qqsols,ilifpts.all,imixsub);
end if;
end if;
end Driver_for_Integer_Lifting;
procedure Driver_for_Float_Lifting is
begin
if compmisu
then new_line;
put("Do you want the mixed cells on separate file ? (y/n) ");
Ask_Yes_or_No(ans);
misufile := (ans = 'y');
if misufile
then put_line("Reading the name of the output file.");
Read_Name_and_Create_File(outsubft);
end if;
else -- flifpts.all := Induced_Lifting(n,mix.all,fpts.all,fmixsub);
flifpts.all := Occured_Lifting(n,mix.all,fpts.all,fmixsub);
sp := Select_Lifted(p,mix.all,flifpts.all);
end if;
Driver_for_Polyhedral_Continuation
(file,sp,0,byebye,qq,gft,solsft,tosolve,ranstart,contrep);
if compmisu
then Create_Mixed_Cells
(file,n,mix.all,fpts.all,flili,flifpts.all,fmixsub);
if misufile
then put(outsubft,n,mix.all,fmixsub);
end if;
end if;
if not Floating_Mixed_Subdivisions.Is_Null(fmixsub)
then Volume_Computation(file,n,mix.all,fmixsub);
if tosolve
then Polyhedral_Homotopy_Continuation
(file,n,mix.all,qq,qqsols,flifpts.all,fmixsub,contrep);
end if;
end if;
end Driver_for_Float_Lifting;
begin
new_line; put_line(welcome);
tstart(totaltimer);
points := Create(p);
Data_Management(mix,compmisu,compmix,fltlif);
if compmisu
then
Compute_Mixture(file,n,compmix,points,mix,permp);
mixpts1 := new Arrays_of_Integer_Vector_Lists.
Array_of_Lists'(Typed_Lists(mix.all,points));
Driver_for_Criterion(file,mixpts1.all);
mixpts := new Arrays_of_Integer_Vector_Lists.
Array_of_Lists'(Expand(mix.all,mixpts1.all));
Compute_Mixture(file,n,compmix,mixpts.all,mix,permp);
mixpts := new Arrays_of_Integer_Vector_Lists.
Array_of_Lists'(Typed_Lists(mix.all,mixpts.all));
ilifpts := new Arrays_of_Integer_Vector_Lists.
Array_of_Lists(mix'range);
fpts := new Arrays_of_Floating_Vector_Lists.Array_of_Lists(mix'range);
flifpts
:= new Arrays_of_Floating_Vector_Lists.Array_of_Lists(mix'range);
sp := Select_Terms(permp,mix.all,mixpts.all);
new_line;
Driver_for_Lifting_Functions
(file,sp,mixpts.all,fltlif,fpts.all,ilifpts.all,
flifpts.all,ilili,flili);
else
mixpts := new Arrays_of_Integer_Vector_Lists.
Array_of_Lists'(Typed_Lists(mix.all,points));
ilifpts := new Arrays_of_Integer_Vector_Lists.
Array_of_Lists(mix'range);
fpts := new Arrays_of_Floating_Vector_Lists.
Array_of_Lists(points'range);
fpts.all := Convert(points);
flifpts := new Arrays_of_Floating_Vector_Lists.
Array_of_Lists(mix'range);
sp := p;
end if;
if fltlif
then Driver_for_Float_Lifting;
else Driver_for_Integer_Lifting;
end if;
if tosolve
then new_line(file);
put_line(file,"THE RANDOM COEFFICIENT START SYSTEM :");
new_line(file);
put_line(file,qq);
new_line(file);
put_line(file,"THE START SOLUTIONS :");
new_line(file);
put(file,Length_Of(qqsols),qq'length,qqsols);
if ranstart
then new_line(gft);
put_line(gft,"THE SOLUTIONS : "); new_line(gft);
put(gft,Length_Of(qqsols),n,qqsols);
Close(gft);
else put(solsft,Length_Of(qqsols),n,qqsols);
Close(solsft);
end if;
end if;
tstop(totaltimer);
new_line(file);
print_times(file,totaltimer,"All Computations");
end Main_Driver;
begin
Main_Driver;
end Driver_for_Mixed_Volume_Computation;
end Drivers_for_Static_Lifting;