1
2
3
4
5
6
7
8
|
1
2
3
4
5
6
7
8
|
-
+
|
// Copyright (c) 2016, 2017 Frank Fischer <frank-fischer@shadow-soft.de>
// Copyright (c) 2016, 2017, 2018 Frank Fischer <frank-fischer@shadow-soft.de>
//
// This program is free software: you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation, either version 3 of the
// License, or (at your option) any later version.
//
// This program is distributed in the hope that it will be useful, but
|
| ︙ | | |
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
|
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
|
-
-
+
+
|
use {DVector, Real};
use {Evaluation, FirstOrderProblem, HKWeighter, Update};
use master::{BoxedMasterProblem, MasterProblem, UnconstrainedMasterProblem};
use master::{CplexMaster, MinimalMaster};
use std::mem::swap;
use std::f64::{INFINITY, NEG_INFINITY};
use std::time::Instant;
use std::mem::swap;
use std::result::Result;
use std::time::Instant;
use failure::Error;
/// A solver error.
#[derive(Debug, Fail)]
pub enum SolverError {
/// An error occured during oracle evaluation.
|
| ︙ | | |
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
|
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
|
-
+
-
-
-
-
|
#[fail(display = "Parameter error: {}", _0)]
Parameter(String),
/// The lower bound of a variable is larger than the upper bound.
#[fail(display = "Invalid bounds, lower:{} upper:{}", lower, upper)]
InvalidBounds { lower: Real, upper: Real },
/// The value of a variable is outside its bounds.
#[fail(display = "Violated bounds, lower:{} upper:{} value:{}", lower, upper, value)]
ViolatedBounds {
ViolatedBounds { lower: Real, upper: Real, value: Real },
lower: Real,
upper: Real,
value: Real,
},
/// The variable index is out of bounds.
#[fail(display = "Variable index out of bounds, got:{} must be < {}", index, nvars)]
InvalidVariable { index: usize, nvars: usize },
/// Iteration limit has been reached.
#[fail(display = "The iteration limit of {} has been reached.", limit)]
IterationLimit { limit: usize },
}
|
| ︙ | | |
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
|
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
|
-
-
-
-
-
-
-
-
-
+
+
+
+
+
+
+
+
+
|
*/
pub step: Step,
}
impl<'a> BundleState<'a> {}
macro_rules! current_state {
($slf: ident, $step: expr) => {
BundleState{
cur_y : &$slf.cur_y,
cur_val : $slf.cur_val,
nxt_y : &$slf.nxt_y,
nxt_mod : $slf.nxt_mod,
nxt_val : $slf.nxt_val,
new_cutval : $slf.new_cutval,
sgnorm : $slf.sgnorm,
($slf:ident, $step:expr) => {
BundleState {
cur_y: &$slf.cur_y,
cur_val: $slf.cur_val,
nxt_y: &$slf.nxt_y,
nxt_mod: $slf.nxt_mod,
nxt_val: $slf.nxt_val,
new_cutval: $slf.new_cutval,
sgnorm: $slf.sgnorm,
weight: $slf.master.weight(),
step: $step,
expected_progress: $slf.expected_progress,
}
};
}
|
| ︙ | | |
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
|
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
|
-
-
+
+
|
* Note that the solver owns the problem, so you cannot use the
* same problem description elsewhere as long as it is assigned to
* the solver. However, it is possible to get a reference to the
* internally stored problem using `Solver::problem()`.
*/
pub fn new_params(problem: P, params: SolverParams) -> Result<Solver<P, Pr, E>, SolverError> {
Ok(Solver {
problem: problem,
params: params,
problem,
params,
terminator: Box::new(StandardTerminator {
termination_precision: 1e-3,
}),
weighter: Box::new(HKWeighter::new()),
bounds: vec![],
cur_y: dvec![],
cur_val: 0.0,
|
| ︙ | | |
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
|
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
|
-
-
+
+
+
|
nxt_mods: dvec![],
new_cutval: 0.0,
sgnorm: 0.0,
expected_progress: 0.0,
cnt_descent: 0,
cnt_null: 0,
start_time: Instant::now(),
master: Box::new(BoxedMasterProblem::new(MinimalMaster::new()
.map_err(SolverError::Master)?)),
master: Box::new(BoxedMasterProblem::new(
MinimalMaster::new().map_err(SolverError::Master)?,
)),
minorants: vec![],
iterinfos: vec![],
})
}
/// A new solver with default parameter.
pub fn new(problem: P) -> Result<Solver<P, Pr, E>, SolverError> {
|
| ︙ | | |
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
|
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
|
-
+
-
-
-
-
-
+
-
-
-
-
-
+
-
-
-
-
|
upper
} else {
0.0
};
self.bounds.push((lower, upper));
newvars.push((None, lower - value, upper - value, value));
}
Update::AddVariableValue {
Update::AddVariableValue { lower, upper, value } => {
lower,
upper,
value,
} => {
if lower > upper {
return Err(SolverError::InvalidBounds { lower, upper });
}
if value < lower || value > upper {
return Err(SolverError::ViolatedBounds {
return Err(SolverError::ViolatedBounds { lower, upper, value });
lower,
upper,
value,
});
}
self.bounds.push((lower, upper));
newvars.push((None, lower - value, upper - value, value));
}
Update::MoveVariable { index, value } => {
if index >= self.bounds.len() {
return Err(SolverError::InvalidVariable {
index,
nvars: self.bounds.len(),
});
}
let (lower, upper) = self.bounds[index];
if value < lower || value > upper {
return Err(SolverError::ViolatedBounds {
return Err(SolverError::ViolatedBounds { lower, upper, value });
lower,
upper,
value,
});
}
newvars.push((Some(index), lower - value, upper - value, value));
}
}
}
if !newvars.is_empty() {
|
| ︙ | | |
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
|
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
|
-
-
+
-
-
+
|
// modify moved variables
for (index, val) in newvars.iter().filter_map(|v| v.0.map(|i| (i, v.3))) {
self.cur_y[index] = val;
self.nxt_y[index] = val;
self.nxt_d[index] = 0.0;
}
// add new variables
self.cur_y
.extend(newvars.iter().filter(|v| v.0.is_none()).map(|v| v.3));
self.cur_y.extend(newvars.iter().filter(|v| v.0.is_none()).map(|v| v.3));
self.nxt_y
.extend(newvars.iter().filter(|v| v.0.is_none()).map(|v| v.3));
self.nxt_y.extend(newvars.iter().filter(|v| v.0.is_none()).map(|v| v.3));
self.nxt_d.resize(self.nxt_y.len(), 0.0);
Ok(true)
} else {
Ok(false)
}
}
|
| ︙ | | |
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
|
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
|
-
+
-
-
-
-
|
}
fn show_info(&self, step: Step) {
let time = self.start_time.elapsed();
info!(
"{} {:0>2}:{:0>2}:{:0>2}.{:0>2} {:4} {:4} {:4}{:1} {:9.4} {:9.4} \
{:12.6e}({:12.6e}) {:12.6e}",
if step == Step::Term {
if step == Step::Term { "_endit" } else { "endit " },
"_endit"
} else {
"endit "
},
time.as_secs() / 3600,
(time.as_secs() / 60) % 60,
time.as_secs() % 60,
time.subsec_nanos() / 10_000_000,
self.cnt_descent,
self.cnt_descent + self.cnt_null,
self.master.cnt_updates(),
|
| ︙ | | |
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
|
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
|
-
-
+
+
+
-
-
+
+
+
+
-
+
+
-
+
-
-
+
-
-
+
+
-
+
-
-
-
-
-
+
-
-
-
+
-
-
-
+
|
* information.
*/
fn init_master(&mut self) -> Result<(), SolverError> {
let m = self.problem.num_subproblems();
self.master = if m == 1 && self.params.max_bundle_size == 2 {
debug!("Use minimal master problem");
Box::new(BoxedMasterProblem::new(MinimalMaster::new()
.map_err(SolverError::Master)?))
Box::new(BoxedMasterProblem::new(
MinimalMaster::new().map_err(SolverError::Master)?,
))
} else {
debug!("Use CPLEX master problem");
Box::new(BoxedMasterProblem::new(CplexMaster::new()
.map_err(SolverError::Master)?))
Box::new(BoxedMasterProblem::new(
CplexMaster::new().map_err(SolverError::Master)?,
))
};
let lb = self.problem.lower_bounds().map(DVector);
let ub = self.problem.upper_bounds().map(DVector);
if lb
if lb.as_ref()
.as_ref()
.map(|lb| lb.len() != self.problem.num_variables())
.unwrap_or(false)
{
return Err(SolverError::Dimension);
}
if ub
if ub.as_ref()
.as_ref()
.map(|ub| ub.len() != self.problem.num_variables())
.unwrap_or(false)
{
return Err(SolverError::Dimension);
}
self.master
.set_num_subproblems(m)
self.master.set_num_subproblems(m).map_err(SolverError::Master)?;
.map_err(SolverError::Master)?;
self.master
.set_vars(self.problem.num_variables(), lb, ub)
.map_err(SolverError::Master)?;
self.master
.set_max_updates(self.params.max_updates)
.map_err(SolverError::Master)?;
self.minorants = (0..m).map(|_| vec![]).collect();
self.cur_val = 0.0;
for i in 0..m {
let result = self.problem
let result = self
.problem
.evaluate(i, &self.cur_y, INFINITY, 0.0)
.map_err(SolverError::Evaluation)?;
self.cur_vals[i] = result.objective();
self.cur_val += self.cur_vals[i];
let mut minorants = result.into_iter();
if let Some((minorant, primal)) = minorants.next() {
self.cur_mods[i] = minorant.constant;
self.cur_mod += self.cur_mods[i];
self.minorants[i].push(MinorantInfo {
index: self.master
index: self.master.add_minorant(i, minorant).map_err(SolverError::Master)?,
.add_minorant(i, minorant)
.map_err(SolverError::Master)?,
multiplier: 0.0,
primal: Some(primal),
});
} else {
return Err(SolverError::NoMinorant);
}
}
self.cur_valid = true;
// Solve the master problem once to compute the initial
// subgradient.
//
// We could compute that subgradient directly by
// adding up the initial minorants, but this would not include
// the eta terms. However, this is a heuristic anyway because
// we assume an initial weight of 1.0, which, in general, will
// *not* be the initial weight for the first iteration.
self.master.set_weight(1.0).map_err(SolverError::Master)?;
self.master
.solve(self.cur_val)
.map_err(SolverError::Master)?;
self.master.solve(self.cur_val).map_err(SolverError::Master)?;
self.sgnorm = self.master.get_dualoptnorm2().sqrt();
// Compute the real initial weight.
let state = current_state!(self, Step::Term);
let new_weight = self.weighter.weight(&state, &self.params);
self.master
.set_weight(new_weight)
.map_err(SolverError::Master)?;
self.master.set_weight(new_weight).map_err(SolverError::Master)?;
debug!("Init master completed");
Ok(())
}
/// Solve the model (i.e. master problem) to compute the next candidate.
fn solve_model(&mut self) -> Result<(), SolverError> {
self.master
.solve(self.cur_val)
.map_err(SolverError::Master)?;
self.master.solve(self.cur_val).map_err(SolverError::Master)?;
self.nxt_d = self.master.get_primopt();
self.nxt_y.add(&self.cur_y, &self.nxt_d);
self.nxt_mod = self.master.get_primoptval();
self.sgnorm = self.master.get_dualoptnorm2().sqrt();
self.expected_progress = self.cur_val - self.nxt_mod;
// update multiplier from master solution
|
| ︙ | | |
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
|
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
|
-
-
+
+
-
-
+
-
-
-
+
-
-
-
+
-
-
-
-
+
-
-
-
+
-
-
+
-
-
-
+
-
+
+
-
+
-
-
-
-
-
+
-
-
-
-
-
+
+
|
for i in 0..self.problem.num_subproblems() {
let n = self.master.num_minorants(i);
if n >= self.params.max_bundle_size {
// aggregate minorants with smallest coefficients
self.minorants[i].sort_by_key(|m| -((1e6 * m.multiplier) as isize));
let aggr = self.minorants[i].split_off(self.params.max_bundle_size - 2);
let aggr_sum = aggr.iter().map(|m| m.multiplier).sum();
let (aggr_mins, aggr_primals): (Vec<_>, Vec<_>) = aggr.into_iter()
.map(|m| (m.index, m.primal.unwrap()))
let (aggr_mins, aggr_primals): (Vec<_>, Vec<_>) =
aggr.into_iter().map(|m| (m.index, m.primal.unwrap())).unzip();
.unzip();
let (aggr_min, aggr_coeffs) = self.master
let (aggr_min, aggr_coeffs) = self.master.aggregate(i, &aggr_mins).map_err(SolverError::Master)?;
.aggregate(i, &aggr_mins)
.map_err(SolverError::Master)?;
// append aggregated minorant
self.minorants[i].push(MinorantInfo {
index: aggr_min,
multiplier: aggr_sum,
primal: Some(
self.problem.aggregate_primals(
self.problem
aggr_coeffs
.into_iter()
.zip(aggr_primals.into_iter())
.aggregate_primals(aggr_coeffs.into_iter().zip(aggr_primals.into_iter()).collect()),
.collect(),
),
),
});
}
}
Ok(())
}
/// Perform a descent step.
fn descent_step(&mut self) -> Result<(), SolverError> {
let new_weight = self.weighter
.weight(¤t_state!(self, Step::Descent), &self.params);
let new_weight = self.weighter.weight(¤t_state!(self, Step::Descent), &self.params);
self.master
.set_weight(new_weight)
.map_err(SolverError::Master)?;
self.master.set_weight(new_weight).map_err(SolverError::Master)?;
self.cnt_descent += 1;
swap(&mut self.cur_y, &mut self.nxt_y);
swap(&mut self.cur_val, &mut self.nxt_val);
swap(&mut self.cur_mod, &mut self.nxt_mod);
swap(&mut self.cur_vals, &mut self.nxt_vals);
swap(&mut self.cur_mods, &mut self.nxt_mods);
self.master.move_center(1.0, &self.nxt_d);
debug!("Descent Step");
debug!(" dir ={}", self.nxt_d);
debug!(" newy={}", self.cur_y);
Ok(())
}
/// Perform a null step.
fn null_step(&mut self) -> Result<(), SolverError> {
let new_weight = self.weighter
.weight(¤t_state!(self, Step::Null), &self.params);
let new_weight = self.weighter.weight(¤t_state!(self, Step::Null), &self.params);
self.master
.set_weight(new_weight)
.map_err(SolverError::Master)?;
self.master.set_weight(new_weight).map_err(SolverError::Master)?;
self.cnt_null += 1;
debug!("Null Step");
Ok(())
}
/// Perform one bundle iteration.
#[cfg_attr(feature = "cargo-clippy", allow(collapsible_if))]
pub fn step(&mut self) -> Result<Step, SolverError> {
self.iterinfos.clear();
if !self.cur_valid {
// current point needs new evaluation
self.init_master()?;
}
self.solve_model()?;
if self.terminator
if self
.terminator
.terminate(¤t_state!(self, Step::Term), &self.params)
{
return Ok(Step::Term);
}
let m = self.problem.num_subproblems();
let descent_bnd = self.get_descent_bound();
let nullstep_bnd = if m == 1 {
let nullstep_bnd = if m == 1 { self.get_nullstep_bound() } else { INFINITY };
self.get_nullstep_bound()
} else {
INFINITY
};
let relprec = if m == 1 {
let relprec = if m == 1 { self.get_relative_precision() } else { 0.0 };
self.get_relative_precision()
} else {
0.0
};
self.compress_bundle()?;
let mut nxt_lb = 0.0;
let mut nxt_ub = 0.0;
self.new_cutval = 0.0;
for fidx in 0..self.problem.num_subproblems() {
let result = self.problem
let result = self
.problem
.evaluate(fidx, &self.nxt_y, nullstep_bnd, relprec)
.map_err(SolverError::Evaluation)?;
let fun_ub = result.objective();
let mut minorants = result.into_iter();
let mut nxt_minorant;
let nxt_primal;
|
| ︙ | | |
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
|
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
|
-
+
+
|
nxt_ub += fun_ub;
self.nxt_vals[fidx] = fun_ub;
// move center of minorant to cur_y
nxt_minorant.move_center(-1.0, &self.nxt_d);
self.new_cutval += nxt_minorant.constant;
self.minorants[fidx].push(MinorantInfo {
index: self.master
index: self
.master
.add_minorant(fidx, nxt_minorant)
.map_err(SolverError::Master)?,
multiplier: 0.0,
primal: Some(nxt_primal),
});
}
|
| ︙ | | |