OpenCL: cleanup and rev support for add_diag, unary +-, mean, sub_col, sub_row, segment

[rok-cesnovar]

Summary

This PR does dome minor cleanup of /opencl and adds support for a few simple functions. In detail:

• removes copy_triangular, diagonal_multiply, identity and sub_block. The first was not used, other were replaced by k.g.
• added rev support for add_diag, unary operator+ (and plus()), unary operator- (and minus()), mean, sub_col, sub_row, segment

Tests

All new functions are tested

Side Effects

/

Release notes

OpenCL: added rev support for add_diag, unary operator+ (and plus()), unary operator- (and minus()), mean, sub_col, sub_row and segment.

Checklist

• Math issue Implement matrix_cl overloads for prim & rev functions #1854

• Copyright holder: Rok Češnovar

[rok-cesnovar]

Ready for review.

[stan-buildbot]

---

Name	Old Result	New Result	Ratio	Performance change( 1 - new / old )
gp_pois_regr/gp_pois_regr.stan	3.55	3.45	1.03	2.91% faster
low_dim_corr_gauss/low_dim_corr_gauss.stan	0.02	0.02	0.95	-5.38% slower
eight_schools/eight_schools.stan	0.11	0.11	1.0	-0.39% slower
gp_regr/gp_regr.stan	0.15	0.15	1.0	-0.02% slower
irt_2pl/irt_2pl.stan	5.2	5.24	0.99	-0.74% slower
performance.compilation	89.6	88.77	1.01	0.93% faster
low_dim_gauss_mix_collapse/low_dim_gauss_mix_collapse.stan	8.63	8.63	1.0	-0.06% slower
pkpd/one_comp_mm_elim_abs.stan	28.65	30.01	0.95	-4.74% slower
sir/sir.stan	139.02	135.15	1.03	2.78% faster
gp_regr/gen_gp_data.stan	0.04	0.04	0.98	-1.64% slower
low_dim_gauss_mix/low_dim_gauss_mix.stan	3.04	3.05	1.0	-0.16% slower
pkpd/sim_one_comp_mm_elim_abs.stan	0.37	0.39	0.97	-3.03% slower
arK/arK.stan	2.53	2.51	1.01	0.57% faster
arma/arma.stan	0.61	0.6	1.02	1.52% faster
garch/garch.stan	0.68	0.67	1.01	1.31% faster
Mean result: 0.996466358781

---

Jenkins Console Log
Blue Ocean
Commit hash: af0df52

---

Machine information

ProductName: Mac OS X ProductVersion: 10.11.6 BuildVersion: 15G22010

CPU:
Intel(R) Xeon(R) CPU E5-1680 v2 @ 3.00GHz

G++:
Configured with: --prefix=/Applications/Xcode.app/Contents/Developer/usr --with-gxx-include-dir=/usr/include/c++/4.2.1
Apple LLVM version 7.0.2 (clang-700.1.81)
Target: x86_64-apple-darwin15.6.0
Thread model: posix

Clang:
Apple LLVM version 7.0.2 (clang-700.1.81)
Target: x86_64-apple-darwin15.6.0
Thread model: posix

[stan-buildbot]

---

Name	Old Result	New Result	Ratio	Performance change( 1 - new / old )
gp_pois_regr/gp_pois_regr.stan	3.41	3.36	1.02	1.53% faster
low_dim_corr_gauss/low_dim_corr_gauss.stan	0.02	0.02	1.02	2.26% faster
eight_schools/eight_schools.stan	0.11	0.11	1.02	2.24% faster
gp_regr/gp_regr.stan	0.15	0.15	0.98	-1.93% slower
irt_2pl/irt_2pl.stan	5.19	5.14	1.01	1.02% faster
performance.compilation	89.72	88.65	1.01	1.2% faster
low_dim_gauss_mix_collapse/low_dim_gauss_mix_collapse.stan	8.66	8.66	1.0	0.02% faster
pkpd/one_comp_mm_elim_abs.stan	29.97	30.3	0.99	-1.07% slower
sir/sir.stan	135.07	138.93	0.97	-2.86% slower
gp_regr/gen_gp_data.stan	0.04	0.04	1.0	-0.41% slower
low_dim_gauss_mix/low_dim_gauss_mix.stan	3.04	3.07	0.99	-0.95% slower
pkpd/sim_one_comp_mm_elim_abs.stan	0.39	0.4	0.98	-2.31% slower
arK/arK.stan	2.53	2.54	0.99	-0.52% slower
arma/arma.stan	0.6	0.61	0.99	-0.66% slower
garch/garch.stan	0.67	0.67	1.0	-0.06% slower
Mean result: 0.998549810769

---

Jenkins Console Log
Blue Ocean
Commit hash: 1e2793a

---

Machine information

ProductName: Mac OS X ProductVersion: 10.11.6 BuildVersion: 15G22010

CPU:
Intel(R) Xeon(R) CPU E5-1680 v2 @ 3.00GHz

G++:
Configured with: --prefix=/Applications/Xcode.app/Contents/Developer/usr --with-gxx-include-dir=/usr/include/c++/4.2.1
Apple LLVM version 7.0.2 (clang-700.1.81)
Target: x86_64-apple-darwin15.6.0
Thread model: posix

Clang:
Apple LLVM version 7.0.2 (clang-700.1.81)
Target: x86_64-apple-darwin15.6.0
Thread model: posix