1500 Commits

Author SHA1 Message Date
Jonas Nick
b39d431aed
Merge bitcoin-core/secp256k1#1044: Add another ecmult_multi test
22d25c8e0ab1d24f0f4a80fe016cbd71cd889866 Add another ecmult_multi test (Pieter Wuille)

Pull request description:

ACKs for top commit:
  jonasnick:
    ACK 22d25c8e0ab1d24f0f4a80fe016cbd71cd889866

Tree-SHA512: e1394fa1708e65a66d4b324cca60dd49c67e37b23b7da2a3ff0db7a2a25c23976cb03b96a8c8584ee81aaec559feb84fb113dff2e2ebf89110ed466a4a6b158b
2021-12-22 14:18:55 +00:00
Tim Ruffing
a69df3ad24
Merge bitcoin-core/secp256k1#816: Improve checks at top of _fe_negate methods
515e7953cab4eb3be063fa3991e4e0663d3f04ae Improve checks at top of _fe_negate methods (Peter Dettman)

Pull request description:

  In theory we could have a single static assertion that would ensure all of these are always true (for any magnitude up to the limit), but I think this small redundancy is clearer.

ACKs for top commit:
  sipa:
    utACK 515e7953cab4eb3be063fa3991e4e0663d3f04ae
  real-or-random:
    ACK 515e7953cab4eb3be063fa3991e4e0663d3f04ae bounds hold by inspection and by robot-dreams's script

Tree-SHA512: c33e47e186b37ca0b4e8d23712f8e5ab0c113024a0229fc6ce63b8cbad21bddbecc0c50029721a1fb3376b2d1da678c1ddb69c5ae971d84ddb7993c755867da4
2021-12-22 11:44:24 +01:00
Pieter Wuille
22d25c8e0a Add another ecmult_multi test 2021-12-21 16:42:08 -05:00
Peter Dettman
515e7953ca Improve checks at top of _fe_negate methods 2021-12-21 19:54:34 +07:00
Tim Ruffing
be6944ade9
Merge bitcoin-core/secp256k1#1042: Follow-ups to making all tables fully static
e05da9e480de34129a170510a311abb204eefeb3 Fix c++ build (Pieter Wuille)
c45386d994b48f44009c139c7351a521261e8363 Cleanup preprocessor indentation in precompute{,d}_ecmult{,_gen} (Pieter Wuille)
19d96e15f9b657483c42258568eb70874179d835 Split off .c file from precomputed_ecmult.h (Pieter Wuille)
1a6691adaead20ed55b5400fd4d36f91eb5a3686 Split off .c file from precomputed_ecmult_gen.h (Pieter Wuille)
bb36331412ed68999ac73c871d402e3b03f65700 Simplify precompute_ecmult_print_* (Pieter Wuille)
38cd84a0cb56e031fe43b47e9bdf60349ac9c0a7 Compute ecmult tables at runtime for tests_exhaustive (Pieter Wuille)
e458ec26d61619eafa9fc2b466c1a7b51f794b1f Move ecmult table computation code to separate file (Pieter Wuille)
fc1bf9f15fbe93cb0223c05ee8592ec9bc3070dd Split ecmult table computation and printing (Pieter Wuille)
31feab053b72bfd7ab05347ef7df81b381c92261 Rename function secp256k1_ecmult_gen_{create_prec -> compute}_table (Pieter Wuille)
725370c3f21ad1327b76127784734ffab1f21f97 Rename ecmult_gen_prec -> ecmult_gen_compute_table (Pieter Wuille)
075252c1b7948522455c907ddc97b26f861288eb Rename ecmult_static_pre_g -> precomputed_ecmult (Pieter Wuille)
7cf47f72bc3c2f99e9ac6b050c78b0155a826f74 Rename ecmult_gen_static_prec_table -> precomputed_ecmult_gen (Pieter Wuille)
f95b8106d02f8dd4088609a38647033de217bb5a Rename gen_ecmult_static_pre_g -> precompute_ecmult (Pieter Wuille)
bae77685ebc3ae695e3a50e1c4dbe7aa936ae7a5 Rename gen_ecmult_gen_static_prec_table -> precompute_ecmult_gen (Pieter Wuille)

Pull request description:

  This PR implements a number of changes to follow up after merging #988:

  * Naming consistency:
    * All precomputed table files now have name `precomputed_*.*`
    * All source files related to the creation of the precomputed table files have name `precompute_*.*`.
    * All source files related to the computation of tables (whether they go in precomputed files or not) have name `*_compute_table.*`.
  * Make the tables for exhaustive tests be computed at runtime rather than compile time (this was already the case for ecmult_gen, but not ecmult). This is a preparation for the next point, as the alternative would be to have separate precomputed libraries for the exhaustive tests and other binaries.
  * Moves the actual tables to separate `precomputed_*.c` files, which are compiled only once as part of a new `libsecp256k1_precomputed.la`, included where relevant. The corresponding `precomputed_*.h` file are normal source files.

  Retry of #1041.

ACKs for top commit:
  real-or-random:
    ACK e05da9e480de34129a170510a311abb204eefeb3
  jonasnick:
    ACK e05da9e480de34129a170510a311abb204eefeb3

Tree-SHA512: 71eadd66e30e511b786e910755e0eda53330dfa163b37e33602c3392f7b893569f56d3ca9870e85cbb3de83880fc5aef61ac3d55d759d7395086a69023f13f03
2021-12-20 11:43:51 +01:00
Pieter Wuille
e05da9e480 Fix c++ build 2021-12-18 16:12:34 -05:00
Pieter Wuille
c45386d994 Cleanup preprocessor indentation in precompute{,d}_ecmult{,_gen} 2021-12-18 16:12:34 -05:00
Pieter Wuille
19d96e15f9 Split off .c file from precomputed_ecmult.h 2021-12-18 16:12:34 -05:00
Pieter Wuille
1a6691adae Split off .c file from precomputed_ecmult_gen.h 2021-12-18 16:12:34 -05:00
Pieter Wuille
bb36331412 Simplify precompute_ecmult_print_* 2021-12-18 16:12:34 -05:00
Pieter Wuille
38cd84a0cb Compute ecmult tables at runtime for tests_exhaustive 2021-12-18 16:12:33 -05:00
Pieter Wuille
e458ec26d6 Move ecmult table computation code to separate file 2021-12-18 16:11:56 -05:00
Pieter Wuille
fc1bf9f15f Split ecmult table computation and printing 2021-12-18 16:11:56 -05:00
Pieter Wuille
31feab053b Rename function secp256k1_ecmult_gen_{create_prec -> compute}_table 2021-12-18 16:11:52 -05:00
Pieter Wuille
725370c3f2 Rename ecmult_gen_prec -> ecmult_gen_compute_table 2021-12-17 14:43:45 -05:00
Pieter Wuille
075252c1b7 Rename ecmult_static_pre_g -> precomputed_ecmult 2021-12-17 11:29:17 -05:00
Pieter Wuille
7cf47f72bc Rename ecmult_gen_static_prec_table -> precomputed_ecmult_gen 2021-12-17 11:24:18 -05:00
Pieter Wuille
f95b8106d0 Rename gen_ecmult_static_pre_g -> precompute_ecmult 2021-12-17 11:19:45 -05:00
Pieter Wuille
bae77685eb Rename gen_ecmult_gen_static_prec_table -> precompute_ecmult_gen 2021-12-17 11:15:37 -05:00
Tim Ruffing
0559fc6e41
Merge bitcoin-core/secp256k1#988: Make signing table fully static
7dfceceea692c4118829c06128c41623b2373ac2 build: Remove #undef hack for ASM in the precomputation programs (Tim Ruffing)
bb36fe9be0998c81ebc9f18e122bb7617d919877 ci: Test `make precomp` (Tim Ruffing)
d94a37a20c3b5b44f1bcf60d309ffc50727e18e4 build: Remove CC_FOR_BUILD stuff (Tim Ruffing)
ad63bb4c296e6007dab22cda05fd599b20139362 build: Prebuild and distribute ecmult_gen table (Tim Ruffing)
ac49361ed0a342e01eafb1410c5b43e1214efaac prealloc: Get rid of manual memory management for prealloc contexts (Tim Ruffing)
6573c08f656f8ec305a2db801d57bfe6441e83e0 ecmult_gen: Tidy precomputed file and save space (Tim Ruffing)
5eba83f17c5aa1cf3698bb057a4b3ee35f3b6c30 ecmult_gen: Precompute tables for all values of ECMULT_GEN_PREC_BITS (Tim Ruffing)
fdb33dd1227f935ca95c7f8bd9429f42e18a870e refactor: Make PREC_BITS a parameter of ecmult_gen_build_prec_table (Tim Ruffing)
a4875e30a631d67b77b41f37fc3bf06ffb8ff11f refactor: Move default callbacks to util.h (Tim Ruffing)
4c94c55bce9e1fae8fd2e8993726c8ec74cc0f7d doc: Remove obsolete hint for valgrind stack size (Tim Ruffing)
5106226991117da78f85ca88b7ea66c2ac8fe0b3 exhaustive_tests: Fix with ecmult_gen table with custom generator (Tim Ruffing)
e1a76530db40b8aa8953717d9f984b6bdf845308 refactor: Make generator a parameter of ecmult_gen_create_prec_table (Tim Ruffing)
9ad09f6911906a1fa9af2c5540a8004e44f3ccc6 refactor: Rename program that generates static ecmult_gen table (Tim Ruffing)
8ae18f1ab3dce4c487bab75c2f0cdf4fe311b318 refactor: Rename file that contains static ecmult_gen table (Tim Ruffing)
00d2fa116ed7a8c2d049723aca8d8b6d1c49f6a8 ecmult_gen: Make code consistent with comment (Tim Ruffing)
3b0c2185eab0fe5cb910fffee4c88e134f6d3cad ecmult_gen: Simplify ecmult_gen context after making table static (Tim Ruffing)
e43ba02cfc836dba48c8c9a483e79b7589ce9ae1 refactor: Decouple table generation and ecmult_gen context (Tim Ruffing)
22dc2c0a0dc3b321e72253f492cfa8bcbf00169b ecmult_gen: Move table creation to new file and force static prec (Tim Ruffing)

Pull request description:

  This resolves #893,  resolves #692 (and also resolves bitcoin/bitcoin#22854).

  - [x] Extract table generation to separate function in separate file (to be used by generation script and exhaustive tests)
  - [x] Tidy up
    - [x] Remove code that deals with non-static tables
    - [x] Make functions that need ecmult_gen not depend on signing context
    - [x] Rename stuff to make it fit the new structure and consistent with how we hande verification tables (#956)
  - [x] Fix exhaustive tests
    - [x] Make table generation function take generator as input
    - [x] Overwrite the static tables with a table with custom generator in exhaustive tests
  - [x] Overhaul script that generates table files
    - [x] Make table generation function take PREC_BITS as input (I have some code already, just not yet in this branch)
    - [x] Change generation script to generate three tables (for all three values of ECMULT_GEN_PREC_BITS)
  - [x] Ship pre-built tables
    - [x] Add pregenerated table file to repo
    - [x] Remove generation of table file from build process (like in #956)
    - [x] Remove left-over stuff (e.g., detecting a compiler running on the build machine) from build system
  - [x] Final cleanups (copyright headers, commit, messages, etc.)
  - [ ] (separate PR:) Make sure link-time optimization remove corresponding static tables (and code) when no signing/verifcation function is called
  - [ ] (separate PR:) Compile precomputation as a separate object file and link it (https://github.com/bitcoin-core/secp256k1/pull/988#issuecomment-977813538)
  - [ ] (separate PR:) Document the backwards-compatible API changes made in this PR and in #956.
    - [ ] Maybe deprecate the static context

ACKs for top commit:
  sipa:
    ACK 7dfceceea692c4118829c06128c41623b2373ac2
  robot-dreams:
    ACK 7dfceceea692c4118829c06128c41623b2373ac2 (based on range-diff between 56284c7d44c0ed46e636588bfbf6c403b7dfa6c1 and 7dfceceea692c4118829c06128c41623b2373ac2)

Tree-SHA512: 6efb3f36f05efe3b79bbd877881fe1409f71fd6488d24c811b2e77d9f053bed78670dd1dcbb42ad780458a51c4ffa36de9cd6567271b22041dc7a122ceb677c5
2021-12-15 11:06:47 +01:00
Tim Ruffing
7dfceceea6 build: Remove #undef hack for ASM in the precomputation programs
This was necessary because we used to cross-compile the library but
compile the precomputation programs for the build host. Now it's no
longer necessary and we can cleanly link even the external ASM
(which was the intent of #935).

On the way, remove an obsolete "-I" parameter.
2021-12-09 20:52:56 +01:00
Tim Ruffing
bb36fe9be0 ci: Test make precomp 2021-12-09 20:52:28 +01:00
Tim Ruffing
d94a37a20c build: Remove CC_FOR_BUILD stuff 2021-12-09 20:52:28 +01:00
Tim Ruffing
ad63bb4c29 build: Prebuild and distribute ecmult_gen table
- Improve Makefile.am for both prebuilt tables files
 - On the way, tidy EXTRA_DIST: Move the header files to noinst_HEADERS,
   where they conceptually belong, and add missing SECURITY.md to EXTRA_DIST
2021-12-09 20:52:28 +01:00
Tim Ruffing
ac49361ed0 prealloc: Get rid of manual memory management for prealloc contexts 2021-12-09 20:52:28 +01:00
Tim Ruffing
6573c08f65 ecmult_gen: Tidy precomputed file and save space 2021-12-09 20:52:26 +01:00
Tim Ruffing
5eba83f17c ecmult_gen: Precompute tables for all values of ECMULT_GEN_PREC_BITS 2021-12-09 20:51:59 +01:00
Tim Ruffing
5d0dbef018
Merge bitcoin-core/secp256k1#942: Verify that secp256k1_ge_set_gej_zinv does not operate on infinity.
099bad945e9a7c5237cdd764eca420285a9de279 Comment and check a parameter for inf in secp256k1_ecmult_const. (Russell O'Connor)
6c0be857f8fee7807a2a704465d2e0f6b1f021e3 Verify that secp256k1_ge_set_gej_zinv does not operate on infinity. a->x and a->y should not be used if the infinity flag is set. (Russell O'Connor)

Pull request description:

  a->x and a->y should not be used if the infinity flag is set.

ACKs for top commit:
  robot-dreams:
    ACK 099bad945e9a7c5237cdd764eca420285a9de279
  real-or-random:
    ACK 099bad945e9a7c5237cdd764eca420285a9de279 I inspected all call sites, they all ensure that a is not infinity

Tree-SHA512: 495fcfe4ec4cacb3fc64bd5d04ecc67ab34f6b63666c6169d473abfd63c2041bc501a9a60d817566517435b986406ea2b7db3f5806043cecf30e214eba9892e9
2021-12-07 11:26:10 +01:00
Tim Ruffing
486205aa68
Merge bitcoin-core/secp256k1#920: Test all ecmult functions with many j*2^i combinations
5eb519e1f60c305e9240946d5773a635192d2a1a ci: reduce TEST_ITERS in memcheck run (Pieter Wuille)
e2cf77328a07c9d972db6a4a65f65424634b54ab Test ecmult functions for all i*2^j for j=0..255 and odd i=1..255. (Pieter Wuille)

Pull request description:

  Instead of just testing properties of the points xG for x=-36..36:
  * also compute all xG where x=j*2^i for i=0..255 and odd j=1..255.
  * test them against known exact results (SHA256 all of them, and compared against an independently created result)
  * test all 4 ecmult functions (and for secp256k1_ecmult and secp256k1_ecmult_multi_var, both as G, and through the generic point input)

ACKs for top commit:
  real-or-random:
    ACK 5eb519e1f60c305e9240946d5773a635192d2a1a
  jonasnick:
    ACK 5eb519e1f60c305e9240946d5773a635192d2a1a

Tree-SHA512: 5d3fcbff754e859ba27d4f4581fa91fafb450fa3f7880364667dba51287e7f02f489af19b9de6a6e0f52faa183c0c7ae46db6add05180c3d4f45a6557b00c0ed
2021-12-06 17:57:14 +01:00
Tim Ruffing
fdb33dd122 refactor: Make PREC_BITS a parameter of ecmult_gen_build_prec_table 2021-12-05 17:58:26 +01:00
Pieter Wuille
5eb519e1f6 ci: reduce TEST_ITERS in memcheck run 2021-12-05 11:54:05 -05:00
Pieter Wuille
e2cf77328a Test ecmult functions for all i*2^j for j=0..255 and odd i=1..255. 2021-12-05 11:53:47 -05:00
Tim Ruffing
61ae37c612
Merge bitcoin-core/secp256k1#1022: build: Windows DLL additions
c0cd7de6d4e497c0e678f7098079727188e81de8 build: add -no-undefined to libtool LDFLAGS (fanquake)
fe32a79d354dfc7f341dbfdd6b8f0d408bd76e5b build: pass win32-dll to LT_INIT (fanquake)

Pull request description:

  This takes care of two of the outstanding issues in #923. One being initializing libtool with `win32-dll` and the other being the addition of `-no-undefined` to the libtool LDFLAGS. See each commit for more details.

  Builders cross-compiling for Windows (including Core) will no-longer see:
  ```bash
  libtool: warning: undefined symbols not allowed in x86_64-w64-mingw32 shared libraries; building static only
  ```

  I'm planning on making some related changes downstream.

ACKs for top commit:
  sipa:
    utACK c0cd7de6d4e497c0e678f7098079727188e81de8. We indeed have done the work to propertly mark exported symbols, and AFAIK have no imported symbols apart from standard library ones.
  real-or-random:
    ACK c0cd7de6d4e497c0e678f7098079727188e81de8
  hebasto:
    ACK c0cd7de6d4e497c0e678f7098079727188e81de8

Tree-SHA512: 6756bc88ac439a27117a1341d82a801cef70354a9e7a563592ab3ac7298fbefdaa0a2c410ea3fba8953d53f254c449dc491069f30468db12791027a65dd02f80
2021-12-05 12:19:35 +01:00
Tim Ruffing
4f01840b82
Merge bitcoin-core/secp256k1#1027: build: Add a check that Valgrind actually supports a host platform
7c7ce872a53f386f7c6a3a8ea04442840902193b build: Add a check that Valgrind actually supports a host platform (Hennadii Stepanov)

Pull request description:

  This PR adds a check that Valgrind actually supports a host platform.

  On master (49f608de474a89e5c742830c8ff5ac8978b5796a):
  ```
  $ ./autogen.sh &> /dev/null && ./configure -q --host=riscv64-linux-gnu 2>&1 | grep valgrind
    valgrind                = yes
  ```

  With this PR:
  ```
  $ ./autogen.sh &> /dev/null && ./configure -q --host=riscv64-linux-gnu 2>&1 | grep valgrind
    valgrind                = no
  ```

  Closes #1023.

ACKs for top commit:
  sipa:
    utACK 7c7ce872a53f386f7c6a3a8ea04442840902193b
  real-or-random:
    utACK 7c7ce872a53f386f7c6a3a8ea04442840902193b

Tree-SHA512: 27f660f7b992ab35dba64b525af1c631f33b8cb25b6a990c81ec4d358c609a2dc03b0932847db9d5aa35eaa880929c7ad2bb4e7719785c2402b1b291cfa91ede
2021-12-05 11:48:02 +01:00
Tim Ruffing
6ad908aa00
Merge bitcoin-core/secp256k1#1008: bench.c: add --help option and ci: move env variables
592661c22f56736099f83700be8cf280f8a963ff ci: move test environment variable declaration to .cirrus.yml (siv2r)
dcbe84b84182bb077bc8639536a778a3129b1b3e bench: add --help option to bench. (siv2r)

Pull request description:

  Fixes #1005

  **Changes:**
  - added `--help` option to `bench.c`
      - `help()` function prints the help to command-line
      - `have_invalid_args()` checks if the user has entered an invalid argument
  - moved `secp256k1_bench_iters` and `secp256k1_test_iters` environment variables declaration to `.cirrus.yml`

ACKs for top commit:
  sipa:
    utACK 592661c22f56736099f83700be8cf280f8a963ff
  real-or-random:
    ACK 592661c22f56736099f83700be8cf280f8a963ff

Tree-SHA512: ebc6a2e6e47b529212efa1c9b75cc79649fca7f42aa75ce46502db24ac94f46b6cef59c828d13265d1fa69187a81c140d1951e7daeb7c8e008a6c1ad75259741
2021-12-05 11:24:00 +01:00
siv2r
592661c22f ci: move test environment variable declaration to .cirrus.yml
environment var moved:
    1. SECP256K1_TEST_ITERS (replaces TEST_ITERS)
    2. SECP256K1_BENCH_ITERS (replaces BENCH_ITERS)
2021-12-04 22:47:40 +05:30
siv2r
dcbe84b841 bench: add --help option to bench.
The following functions were created:
    1. bench.c: help()
        - prints the help to the command-line
    2. bench.h: have_invalid_args()
        - takes a list of arguments that the user is allowed to enter on the command-line
        - returns 1 if the user entered an invalid argument
        - returns 0 if all the user entered arguments are valid
2021-12-04 22:47:30 +05:30
Russell O'Connor
099bad945e Comment and check a parameter for inf in secp256k1_ecmult_const. 2021-12-03 13:57:38 -05:00
Russell O'Connor
6c0be857f8 Verify that secp256k1_ge_set_gej_zinv does not operate on infinity.
a->x and a->y should not be used if the infinity flag is set.
2021-12-03 12:01:41 -05:00
Tim Ruffing
4900227451
Merge bitcoin-core/secp256k1#1025: build: replace backtick command substitution with $()
2b7c7497ef66eae3a178b666fe17af40495322a6 build: replace backtick command substitution with $() (fanquake)

Pull request description:

  This is only needed for the very oldest of non-POSIX-compatible shells.
  Note that this code will also only be executed on macOS, where it'd be
  very unlikely to run into such a shell anyways.

  Followup to https://github.com/bitcoin-core/secp256k1/pull/1019#pullrequestreview-815300521. I had thought there were more usages of this
  syntax, but seems like it's just the one.

  See:
  https://github.com/koalaman/shellcheck/wiki/SC2006

  Co-authored-by: Hennadii Stepanov <32963518+hebasto@users.noreply.github.com>

ACKs for top commit:
  real-or-random:
    ACK 2b7c7497ef66eae3a178b666fe17af40495322a6
  hebasto:
    ACK 2b7c7497ef66eae3a178b666fe17af40495322a6, verified that this is the only case.

Tree-SHA512: 6192f5efe437ff428ce7843ac595049a1aa7969a9e696f649cfd4820b28fc96ad0fabd6eec0ec1ca404763f02e64af6a99e57666a00d8749c6212a0646211991
2021-12-03 17:27:09 +01:00
Hennadii Stepanov
7c7ce872a5
build: Add a check that Valgrind actually supports a host platform 2021-12-03 17:32:26 +02:00
Tim Ruffing
a4875e30a6 refactor: Move default callbacks to util.h 2021-12-03 11:23:33 +01:00
Tim Ruffing
4c94c55bce doc: Remove obsolete hint for valgrind stack size
Also don't mention exhaustive_tests without explanation. They're
included in our test suite (`make check`) anyway.
2021-12-03 11:23:33 +01:00
Tim Ruffing
5106226991 exhaustive_tests: Fix with ecmult_gen table with custom generator 2021-12-03 11:23:33 +01:00
Tim Ruffing
e1a76530db refactor: Make generator a parameter of ecmult_gen_create_prec_table 2021-12-03 11:23:33 +01:00
Tim Ruffing
9ad09f6911 refactor: Rename program that generates static ecmult_gen table 2021-12-03 11:23:33 +01:00
Tim Ruffing
8ae18f1ab3 refactor: Rename file that contains static ecmult_gen table 2021-12-03 11:23:33 +01:00
Tim Ruffing
00d2fa116e ecmult_gen: Make code consistent with comment
This also fixes a typo in the comment.
2021-12-03 11:23:33 +01:00
Tim Ruffing
3b0c2185ea ecmult_gen: Simplify ecmult_gen context after making table static
This is a backwards-compatible API change: Before this commit, a context
initialized for signing was required to call functions that rely on
ecmult_gen. After this commit, this is no longer necessary because the
static ecmult_gen table is always present. In practice this means that
the corresponding functions will just work instead of calling the
illegal callback when given a context which is not (officially)
initialized for signing.

This is in line with 6815761, which made the analogous change with
respect to ecmult and contexts initialized for signing. But as opposed
to 681571, which removed the ecmult context entirely, we cannot remove
the ecmult_gen context entirely because it is still used for random
blinding. Moreover, since the secp256k1_context_no_precomp context is
const and cannot meaningfully support random blinding, we refrain (for
now) from changing its API, i.e., the illegal callback will still be
called when trying to use ecmult_gen operations with the static
secp256k1_context_no_precomp context.
2021-12-03 11:23:33 +01:00
fanquake
2b7c7497ef
build: replace backtick command substitution with $()
This is only needed for the very oldest of non-POSIX-compatible shells.
Note that this code will also only be executed on macOS, where it'd be
very unlikely to run into such a shell.

Followup to #1019.

See:
https://github.com/koalaman/shellcheck/wiki/SC2006

Co-authored-by: Hennadii Stepanov <32963518+hebasto@users.noreply.github.com>
2021-12-03 15:22:59 +08:00