Wrap and interface MPS solver functionality

[maleadt]

Closes #402

[codecov]

Codecov Report

❌ Patch coverage is 95.91837% with 12 lines in your changes missing coverage. Please review.
✅ Project coverage is 85.87%. Comparing base (6b62b2d) to head (e53e1f8).
⚠️ Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
src/linalg.jl	91.95%	7 Missing ⚠️
lib/mps/solve.jl	97.58%	5 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #853      +/-   ##
==========================================
+ Coverage   85.41%   85.87%   +0.45%     
==========================================
  Files          69       70       +1     
  Lines        4134     4417     +283     
==========================================
+ Hits         3531     3793     +262     
- Misses        603      624      +21     

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[github-actions]

Metal Benchmarks

Details

Benchmark suite	Current: e53e1f8	Previous: eed9d53	Ratio
array/accumulate/Float32/1d	816500 ns	827666 ns	0.99
array/accumulate/Float32/dims=1	940125.5 ns	983458.5 ns	0.96
array/accumulate/Float32/dims=1L	8605791.5 ns	8685625 ns	0.99
array/accumulate/Float32/dims=2	1260375 ns	1253625 ns	1.01
array/accumulate/Float32/dims=2L	4437500.5 ns	4197458 ns	1.06
array/accumulate/Int64/1d	923959 ns	924625 ns	1.00
array/accumulate/Int64/dims=1	1106854 ns	1109666 ns	1.00
array/accumulate/Int64/dims=1L	9867375 ns	9873729 ns	1.00
array/accumulate/Int64/dims=2	1416896 ns	1445125 ns	0.98
array/accumulate/Int64/dims=2L	7917250 ns	6935479.5 ns	1.14
array/broadcast	363666 ns	336125 ns	1.08
array/construct	3333 ns	3458 ns	0.96
array/permutedims/2d	575812 ns	616166 ns	0.93
array/permutedims/3d	1069083.5 ns	1091500 ns	0.98
array/permutedims/4d	1659584 ns	1139375 ns	1.46
array/private/copy	400208 ns	390604 ns	1.02
array/private/copyto!/cpu_to_gpu	383333 ns	361625 ns	1.06
array/private/copyto!/gpu_to_cpu	377854.5 ns	360416 ns	1.05
array/private/copyto!/gpu_to_gpu	361292 ns	329895.5 ns	1.10
array/private/iteration/findall/bool	1130584 ns	1187896 ns	0.95
array/private/iteration/findall/int	1276875 ns	1319625 ns	0.97
array/private/iteration/findfirst/bool	1408959 ns	1326750 ns	1.06
array/private/iteration/findfirst/int	1516583 ns	1374708.5 ns	1.10
array/private/iteration/findmin/1d	1572833.5 ns	1521458 ns	1.03
array/private/iteration/findmin/2d	1258334 ns	1229312.5 ns	1.02
array/private/iteration/logical	1932625 ns	1982791 ns	0.97
array/private/iteration/scalar	2777375 ns	1740750 ns	1.60
array/random/rand/Float32	527167 ns	599729 ns	0.88
array/random/rand/Int64	644416.5 ns	643666 ns	1.00
array/random/rand!/Float32	533792 ns	497458 ns	1.07
array/random/rand!/Int64	493583.5 ns	471625 ns	1.05
array/random/randn/Float32	492208.5 ns	554208 ns	0.89
array/random/randn!/Float32	480500 ns	452895.5 ns	1.06
array/reductions/mapreduce/Float32/1d	718167 ns	612083 ns	1.17
array/reductions/mapreduce/Float32/dims=1	481959 ns	445042 ns	1.08
array/reductions/mapreduce/Float32/dims=1L	769041 ns	701292 ns	1.10
array/reductions/mapreduce/Float32/dims=2	490000 ns	450458 ns	1.09
array/reductions/mapreduce/Float32/dims=2L	968437.5 ns	847833 ns	1.14
array/reductions/mapreduce/Int64/1d	939958 ns	802625 ns	1.17
array/reductions/mapreduce/Int64/dims=1	817209 ns	755750 ns	1.08
array/reductions/mapreduce/Int64/dims=1L	1319187.5 ns	1101084 ns	1.20
array/reductions/mapreduce/Int64/dims=2	1008333 ns	791167 ns	1.27
array/reductions/mapreduce/Int64/dims=2L	2169000 ns	2170334 ns	1.00
array/reductions/reduce/Float32/1d	679792 ns	606791 ns	1.12
array/reductions/reduce/Float32/dims=1	473583 ns	443458 ns	1.07
array/reductions/reduce/Float32/dims=1L	756895.5 ns	701292 ns	1.08
array/reductions/reduce/Float32/dims=2	481083.5 ns	444042 ns	1.08
array/reductions/reduce/Float32/dims=2L	1260917 ns	844875 ns	1.49
array/reductions/reduce/Int64/1d	924146 ns	798000 ns	1.16
array/reductions/reduce/Int64/dims=1	805084 ns	754562 ns	1.07
array/reductions/reduce/Int64/dims=1L	1312041 ns	1093875 ns	1.20
array/reductions/reduce/Int64/dims=2	978000 ns	806708 ns	1.21
array/reductions/reduce/Int64/dims=2L	2149166 ns	2151854.5 ns	1.00
array/shared/copy	232083 ns	161500 ns	1.44
array/shared/copyto!/cpu_to_gpu	38709 ns	39167 ns	0.99
array/shared/copyto!/gpu_to_cpu	39375 ns	40291 ns	0.98
array/shared/copyto!/gpu_to_gpu	39875 ns	40500 ns	0.98
array/shared/iteration/findall/bool	1142875 ns	1195459 ns	0.96
array/shared/iteration/findall/int	1284229.5 ns	1325292 ns	0.97
array/shared/iteration/findfirst/bool	1117125 ns	1007229 ns	1.11
array/shared/iteration/findfirst/int	1197437.5 ns	998750 ns	1.20
array/shared/iteration/findmin/1d	1300958 ns	1282667 ns	1.01
array/shared/iteration/findmin/2d	1265916.5 ns	1230250 ns	1.03
array/shared/iteration/logical	1715708 ns	1790645.5 ns	0.96
array/shared/iteration/scalar	2606.5555555555557 ns	3645.875 ns	0.71
integration/byval/reference	1139250 ns	1151417 ns	0.99
integration/byval/slices=1	1138333 ns	1152417 ns	0.99
integration/byval/slices=2	2049541 ns	2079771 ns	0.99
integration/byval/slices=3	9574166.5 ns	18546542 ns	0.52
integration/metaldevrt	442020.5 ns	440292 ns	1.00
kernel/indexing	324750 ns	330083 ns	0.98
kernel/indexing_checked	489771 ns	489083 ns	1.00
kernel/launch	1954.2 ns	1945.9 ns	1.00
kernel/rand	521916 ns	496291.5 ns	1.05
latency/import	1861413875 ns	1878675583.5 ns	0.99
latency/precompile	36835531937.5 ns	37306529291.5 ns	0.99
latency/ttfp	2078879958 ns	2099857458 ns	0.99
metal/synchronization/context	460.43939393939394 ns	530.4404145077721 ns	0.87
metal/synchronization/stream	193.27896341463415 ns	277.0223642172524 ns	0.70

This comment was automatically generated by workflow using github-action-benchmark.

[christiangnrd]

Closes #145?