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Refactor linear algebra module and remove unused code #195

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@ulises-jeremias ulises-jeremias commented Jan 7, 2024

Summary by CodeRabbit

  • New Features

    • Introduced V Basic Linear Algebra System (BLAS) package with optimized routines and an OpenBLAS backend.
    • Added LAPACKE support for executing tests, offering an alternative to CBLAS.
    • Introduced various BLAS operations such as dot products, matrix-vector, and matrix-matrix multiplications.
    • Added multiple enums and types for matrix operations in the LAPACK library.
  • Refactor

    • Renamed modules and updated imports for consistency and clarity.
    • Replaced boolean flags with enum types for better readability and maintainability.
  • Documentation

    • Added README files for BLAS and LAPACK packages, explaining functionalities and usage.

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coderabbitai bot commented Jan 7, 2024

Walkthrough

The updates reflect a comprehensive reorganization and renaming of modules within the vsl library, particularly impacting the BLAS and LAPACK components. Key modifications include the renaming of modules from vlas to blas or lapack, along with updated imports and new enumerations. Enhanced functionality for linear algebra operations is introduced, integrating OpenBLAS and LAPACKE backends for improved performance in matrix computations.

Changes

File/Group Change Summary
bin/test Modified flag from -d vsl_vlas_cblas to -d vsl_blas_cblas, added --use-lapacke flag for tests.
blas/README.md Introduced V BLAS package, offering pure V and OpenBLAS implementations of BLAS routines.
blas/blas64/* Renamed module vlas to blas, updated imports, added types (MemoryLayout, Transpose, Uplo, Diagonal, Side). Refactored helper functions.
blas/cflags_d_vsl_blas_cblas.v Renamed module from vlas to blas, adjusted flags for Linux and Mac platforms.
blas/conversions.v Updated type declarations, renamed imports for memory layout, transpose, uplo, diagonal, and side specs.
blas/oblas_d_vsl_blas_cblas.v, oblas_notd_vsl_blas_cblas.v Introduced inline functions and bindings for various BLAS operations, providing efficient interfaces for linear algebra routines.
la/blas.v Replaced vsl.vlas references with vsl.blas, updated function calls for vector and matrix operations.
la/densesol.v Switched imports from vsl.vlas to vsl.lapack, updated den_solve to use lapack.dgesv instead of vlas.dgesv.
la/matrix_ops.v Replaced vsl.vlas imports with vsl.lapack for matrix operations. Updated function calls to use LAPACK module.
lapack/README.md Introduced "The V Linear Algebra Package," focusing on LAPACKE backend for LAPACK interfacing.
lapack/cflags_d_vsl_lapack_lapacke.v Renamed module from vlas to lapack, adjusted paths and libraries for different OS platforms.
lapack/lapack64/* Introduced new enums specifying matrix operations and types. Added functions for LAPACK routines with detailed implementations and validations.

Poem

In realms of code where matrices dance,
BLAS and LAPACK take a chance,
Modules renamed, types in play,
Linear algebra's bright new day.
The V code hums, computations fly,
With every matrix, it touches the sky. ✨
Algorithms swift, in perfect trance,
In the rabbit's world, code does prance. 🐇


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Review Status

Actionable comments generated: 1

Configuration used: CodeRabbit UI

Commits Files that changed from the base of the PR and between 57dc598 and 6f4fe35.
Files ignored due to filter (2)
  • blas/v.mod
  • lapack/v.mod
Files selected for processing (28)
  • bin/test (1 hunks)
  • blas/README.md (1 hunks)
  • blas/blas64/conversions.v (1 hunks)
  • blas/blas64/dgemm.v (1 hunks)
  • blas/blas64/dgemv.v (1 hunks)
  • blas/blas64/dgemv_test.v (1 hunks)
  • blas/blas64/error.v (1 hunks)
  • blas/blas64/level1f64.v (1 hunks)
  • blas/blas64/level1f64_ddot.v (1 hunks)
  • blas/blas64/level2f64.v (1 hunks)
  • blas/blas64/level3f64.v (1 hunks)
  • blas/blas64/util.v (1 hunks)
  • blas/cflags_d_vsl_blas_cblas.v (2 hunks)
  • blas/conversions.v (1 hunks)
  • blas/oblas_d_vsl_blas_cblas.v (1 hunks)
  • blas/oblas_notd_vsl_blas_cblas.v (1 hunks)
  • la/blas.v (16 hunks)
  • la/densesol.v (2 hunks)
  • la/matrix_ops.v (5 hunks)
  • lapack/README.md (1 hunks)
  • lapack/cflags_d_vsl_lapack_lapacke copy.v (1 hunks)
  • lapack/cflags_notd_vsl_lapack_lapacke.v (1 hunks)
  • lapack/lapack64/dgesv.v (1 hunks)
  • lapack/lapack64/dgetrf.v (1 hunks)
  • lapack/lapack64/errors.v (1 hunks)
  • lapack/lapack_common.v (3 hunks)
  • lapack/lapack_default.c.v (1 hunks)
  • lapack/lapack_macos.c.v (1 hunks)
Files skipped from review due to trivial changes (8)
  • blas/blas64/conversions.v
  • blas/blas64/dgemm.v
  • blas/blas64/dgemv.v
  • blas/blas64/error.v
  • blas/blas64/level1f64.v
  • blas/blas64/level2f64.v
  • blas/blas64/level3f64.v
  • blas/blas64/util.v
Additional comments: 43
lapack/lapack_macos.c.v (1)
  • 1-4: > Note: This review was outside the patches, so it was mapped to the patch with the greatest overlap. Original lines [1-7]

The module name change and the function implementation look good.

lapack/lapack_default.c.v (2)
  • 1-5: The module name change and the updated import statement are correct.

  • 1-8: > Note: This review was outside the patches, so it was mapped to the patch with the greatest overlap. Original lines [5-9]

The update to the C.LAPACKE_dlange function signature and the public function dlange wrapper are consistent with the refactoring to use blas64.

lapack/cflags_d_vsl_lapack_lapacke copy.v (1)
  • 1-10: > Note: This review was outside the patches, so it was mapped to the patch with the greatest overlap. Original lines [1-13]

The module name change, compiler flags, and conditional inclusion of "lapacke.h" for macOS are correct.

la/densesol.v (1)
  • 1-8: > Note: This review was outside the patches, so it was mapped to the patch with the greatest overlap. Original lines [3-19]

The update to the import statement and the den_solve function to use lapack.dgesv is correct.

blas/cflags_d_vsl_blas_cblas.v (1)
  • 7-15: > Note: This review was outside the patches, so it was mapped to the patch with the greatest overlap. Original lines [1-11]

The module name change, compiler flags, and conditional inclusion of "cblas.h" for macOS are correct.

blas/blas64/level1f64_ddot.v (1)
  • 1-4: > Note: This review was outside the patches, so it was mapped to the patch with the greatest overlap. Original lines [1-34]

The module name change to "blas64" and the import statement update are correct. The ddot function logic and error handling are appropriate.

lapack/lapack64/dgetrf.v (1)
  • 1-51: The import statements and the dgetrf function logic and error handling are correct.
lapack/lapack64/dgesv.v (1)
  • 1-56: The import statements and the dgesv function logic and error handling are correct.
bin/test (1)
  • 31-31: The flag change from -d vsl_vlas_cblas to -d vsl_blas_cblas is correct and consistent with the module refactoring.
lapack/README.md (1)
  • 1-58: The documentation updates in the README.md file are correct, reflecting the new compilation flag and providing clear installation instructions for dependencies.
blas/README.md (1)
  • 1-66: The documentation updates in the README.md file are correct, reflecting the new compilation flag and providing clear installation instructions for dependencies.
blas/oblas_notd_vsl_blas_cblas.v (1)
  • 1-81: The module name change to "blas" and the updated import statement are correct. The inline functions are appropriate wrappers for the blas64 functions.
blas/blas64/dgemv_test.v (2)
  • 1-1: The module name change to "blas64" is correct.

  • 2-2: The test functions for dgemv are correctly implemented.

la/matrix_ops.v (2)
  • 4-4: The update to the import statement from vsl.vlas to vsl.lapack is correct.

  • 5-5: The updates to the functions matrix_det, matrix_inv_small, matrix_svd, and matrix_inv to use the lapack module are correct.

lapack/lapack_common.v (2)
  • 1-5: The module name change to "lapack" and the updated import statements are correct.

  • 7-23: The updates to the C function declarations to use blas64.MemoryLayout are correct and consistent with the refactoring.

lapack/lapack64/errors.v (1)
  • 1-178: The constants for error messages in lapack/lapack64/errors.v are consistent and clear.
blas/conversions.v (3)
  • 1-7: The module name and import path have been updated correctly from vlas to blas.

  • 9-13: The function signatures have been updated to use the new blas64 types, which is consistent with the module changes.

  • 1-16: > Note: This review was outside the patches, and no patch overlapping with it was found. Original lines [17-178]

The utility functions for matrix and vector operations remain unchanged and are consistent and clear.

la/blas.v (16)
  • 3-3: The import statement has been updated correctly from vsl.vlas to vsl.blas.

  • 50-50: The reference to vlas.ddot has been correctly replaced with blas.ddot.

  • 69-69: The reference to vlas.daxpy has been correctly replaced with blas.daxpy.

  • 139-139: The reference to vlas.dgemv has been correctly replaced with blas.dgemv.

  • 170-170: The reference to vlas.dgemv for the transpose operation has been correctly replaced with blas.dgemv.

  • 202-202: The reference to vlas.dger has been correctly replaced with blas.dger.

  • 223-223: The reference to vlas.dgemv in matrix_vector_mul_add has been correctly replaced with blas.dgemv.

  • 243-243: The reference to vlas.dgemm in matrix_matrix_mul has been correctly replaced with blas.dgemm.

  • 263-263: The reference to vlas.dgemm in matrix_tr_matrix_mul has been correctly replaced with blas.dgemm.

  • 272-272: The reference to vlas.dgemm in matrix_matrix_tr_mul has been correctly replaced with blas.dgemm.

  • 281-281: The reference to vlas.dgemm in matrix_tr_matrix_tr_mul has been correctly replaced with blas.dgemm.

  • 290-290: The reference to vlas.dgemm in matrix_matrix_muladd has been correctly replaced with blas.dgemm.

  • 299-299: The reference to vlas.dgemm in matrix_tr_matrix_muladd has been correctly replaced with blas.dgemm.

  • 308-308: The reference to vlas.dgemm in matrix_matrix_tr_muladd has been correctly replaced with blas.dgemm.

  • 317-317: The reference to vlas.dgemm in matrix_tr_matrix_tr_mul_add has been correctly replaced with blas.dgemm.

  • 328-328: The reference to vlas.daxpy in matrix_add has been correctly replaced with blas.daxpy.

blas/oblas_d_vsl_blas_cblas.v (4)
  • 1-3: The module has been renamed to blas and now imports vsl.blas64.blas64. This change aligns with the PR's objective to refactor the linear algebra module.

  • 5-172: The C function declarations appear to be correctly defined with appropriate parameter types and return types matching the BLAS library's API.

  • 191-448: The V public functions use unsafe to pass array pointers to the C functions. This is necessary for performance reasons but requires careful handling to ensure safety. The functions are marked as inline, which is appropriate for small wrapper functions to avoid function call overhead.

  • 191-448: The use of unsafe is justified in this context as it is required for performance-critical numerical computations where direct memory access is necessary. Ensure that the arrays passed to these functions are always valid and that their lifetimes are managed correctly to prevent undefined behavior.

Comment on lines 191 to 448
}

@[inline]
pub fn drotmg(d1 f64, d2 f64, b1 f64, b2 f32, p []f64) {
C.cblas_drotmg(&d1, &d2, &b1, b2, unsafe { &p[0] })
}

@[inline]
pub fn sscal(n int, alpha f32, mut x []f32, incx int) {
C.cblas_sscal(n, alpha, unsafe { &x[0] }, incx)
}

@[inline]
pub fn dscal(n int, alpha f64, mut x []f64, incx int) {
C.cblas_dscal(n, alpha, unsafe { &x[0] }, incx)
}

@[inline]
pub fn sgemv(trans bool, m int, n int, alpha f32, a []f32, lda int, x []f32, incx int, beta f32, mut y []f32, incy int) {
C.cblas_sgemv(.row_major, c_trans(trans), m, n, alpha, unsafe { &a[0] }, lda, unsafe { &x[0] },
incx, beta, unsafe { &y[0] }, incy)
}

@[inline]
pub fn dgemv(trans bool, m int, n int, alpha f64, a []f64, lda int, x []f64, incx int, beta f64, mut y []f64, incy int) {
C.cblas_dgemv(.row_major, c_trans(trans), m, n, alpha, unsafe { &a[0] }, lda, unsafe { &x[0] },
incx, beta, unsafe { &y[0] }, incy)
}

@[inline]
pub fn sger(m int, n int, alpha f32, x []f32, incx int, y []f32, incy int, mut a []f32, lda int) {
C.cblas_sger(.row_major, m, n, alpha, unsafe { &x[0] }, incx, unsafe { &y[0] }, incy,
unsafe { &a[0] }, lda)
}

@[inline]
pub fn dger(m int, n int, alpha f64, x []f64, incx int, y []f64, incy int, mut a []f64, lda int) {
C.cblas_dger(.row_major, m, n, alpha, unsafe { &x[0] }, incx, unsafe { &y[0] }, incy,
unsafe { &a[0] }, lda)
}

@[inline]
pub fn strsv(uplo bool, trans_a bool, diag blas64.Diagonal, n int, a []f32, lda int, mut x []f32, incx int) {
C.cblas_strsv(.row_major, c_uplo(uplo), c_trans(trans_a), diag, n, unsafe { &a[0] },
lda, unsafe { &x[0] }, incx)
}

@[inline]
pub fn dtrsv(uplo bool, trans_a bool, diag blas64.Diagonal, n int, a []f64, lda int, mut x []f64, incx int) {
C.cblas_dtrsv(.row_major, c_uplo(uplo), c_trans(trans_a), diag, n, unsafe { &a[0] },
lda, unsafe { &x[0] }, incx)
}

@[inline]
pub fn strmv(uplo bool, trans_a bool, diag blas64.Diagonal, n int, a []f32, lda int, mut x []f32, incx int) {
C.cblas_strmv(.row_major, c_uplo(uplo), c_trans(trans_a), diag, n, unsafe { &a[0] },
lda, unsafe { &x[0] }, incx)
}

@[inline]
pub fn dtrmv(uplo bool, trans_a bool, diag blas64.Diagonal, n int, a []f64, lda int, mut x []f64, incx int) {
C.cblas_dtrmv(.row_major, c_uplo(uplo), c_trans(trans_a), diag, n, unsafe { &a[0] },
lda, unsafe { &x[0] }, incx)
}

@[inline]
pub fn ssyr(uplo bool, n int, alpha f32, x []f32, incx int, mut a []f32, lda int) {
C.cblas_ssyr(.row_major, c_uplo(uplo), n, alpha, unsafe { &x[0] }, incx, unsafe { &a[0] },
lda)
}

@[inline]
pub fn dsyr(uplo bool, n int, alpha f64, x []f64, incx int, mut a []f64, lda int) {
C.cblas_dsyr(.row_major, c_uplo(uplo), n, alpha, unsafe { &x[0] }, incx, unsafe { &a[0] },
lda)
}

@[inline]
pub fn ssyr2(uplo bool, n int, alpha f32, x []f32, incx int, y []f32, incy int, mut a []f32, lda int) {
C.cblas_ssyr2(.row_major, c_uplo(uplo), n, alpha, unsafe { &x[0] }, incx, unsafe { &y[0] },
incy, unsafe { &a[0] }, lda)
}

@[inline]
pub fn dsyr2(uplo bool, n int, alpha f64, x []f64, incx int, y []f64, incy int, mut a []f64, lda int) {
C.cblas_dsyr2(.row_major, c_uplo(uplo), n, alpha, unsafe { &x[0] }, incx, unsafe { &y[0] },
incy, unsafe { &a[0] }, lda)
}

@[inline]
pub fn sgemm(trans_a bool, trans_b bool, m int, n int, k int, alpha f32, a []f32, lda int, b []f32, ldb int, beta f32, mut cc []f32, ldc int) {
C.cblas_sgemm(.row_major, c_trans(trans_a), c_trans(trans_b), m, n, k, alpha, unsafe { &a[0] },
lda, unsafe { &b[0] }, ldb, beta, unsafe { &cc[0] }, ldc)
}

@[inline]
pub fn dgemm(trans_a bool, trans_b bool, m int, n int, k int, alpha f64, a []f64, lda int, b []f64, ldb int, beta f64, mut cc []f64, ldc int) {
C.cblas_dgemm(.row_major, c_trans(trans_a), c_trans(trans_b), m, n, k, alpha, unsafe { &a[0] },
lda, unsafe { &b[0] }, ldb, beta, unsafe { &cc[0] }, ldc)
}
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Consider adding tests for the new wrapper functions to ensure they correctly interface with the C BLAS library and handle edge cases appropriately.

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Review Status

Actionable comments generated: 0

Configuration used: CodeRabbit UI

Commits Files that changed from the base of the PR and between 6f4fe35 and d667c95.
Files selected for processing (1)
  • blas/README.md (1 hunks)
Files skipped from review as they are similar to previous changes (1)
  • blas/README.md

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Review Status

Actionable comments generated: 0

Configuration used: CodeRabbit UI

Commits Files that changed from the base of the PR and between d667c95 and 10eea19.
Files selected for processing (6)
  • blas/blas64/conversions.v (1 hunks)
  • blas/conversions.v (1 hunks)
  • blas/oblas_d_vsl_blas_cblas.v (1 hunks)
  • blas/oblas_notd_vsl_blas_cblas.v (1 hunks)
  • lapack/lapack_common.v (3 hunks)
  • lapack/lapack_default.c.v (1 hunks)
Files skipped from review as they are similar to previous changes (5)
  • blas/conversions.v
  • blas/oblas_d_vsl_blas_cblas.v
  • blas/oblas_notd_vsl_blas_cblas.v
  • lapack/lapack_common.v
  • lapack/lapack_default.c.v
Additional comments: 1
blas/blas64/conversions.v (1)
  • 1-33: The enums MemoryLayout, Transpose, Uplo, Diagonal, and Side are well-defined and appropriately documented. The naming convention is consistent, and the values seem to be aligned with the typical BLAS library constants. This should make the usage of the enums intuitive for those familiar with BLAS.

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Review Status

Actionable comments generated: 0

Configuration used: CodeRabbit UI

Commits Files that changed from the base of the PR and between 10eea19 and 5bd805c.
Files selected for processing (3)
  • lapack/lapack64/dgesv.v (1 hunks)
  • lapack/lapack64/dgetrf.v (1 hunks)
  • lapack/lapack64/dgetrs.v (1 hunks)
Files skipped from review as they are similar to previous changes (2)
  • lapack/lapack64/dgesv.v
  • lapack/lapack64/dgetrf.v
Additional comments: 8
lapack/lapack64/dgetrs.v (8)
  • 19-19: The function signature for dgetrs is clear and matches the documentation provided. It accepts parameters for the transpose type, matrix dimensions, matrix data, leading dimensions, pivot indices, and right-hand side matrix.

  • 20-34: The input validation checks for trans, n, nrhs, lda, and ldb are thorough and follow good practices by checking for invalid values and throwing appropriate panic messages.

  • 37-38: The quick return check for n == 0 || nrhs == 0 is a good performance optimization to avoid unnecessary computation when there are no equations to solve or no right-hand sides.

  • 41-49: The length checks for the arrays a, b, and ipiv are correct and ensure that the arrays are of sufficient size to hold the necessary data for the matrix operations.

  • 51-58: The logic for solving the system of equations when trans != .no_trans is correct. It uses the LAPACK utility dlaswp and BLAS functions dtrsm to perform the necessary matrix operations.

  • 61-66: The logic for solving the transposed system of equations is correct. It uses the BLAS function dtrsm for both the upper and lower triangular matrix solutions and applies the LAPACK utility dlaswp to adjust the right-hand side matrix b.

  • 19-66: Ensure that the constants used for transpose types and matrix sides (e.g., .no_trans, .trans, .conj_trans, .left, .upper, .lower, .unit, .non_unit) are consistent with the blas module's definitions and that they are correctly implemented in the blas module.

  • 20-34: Verify that the panic messages (e.g., bad_trans, n_lt0, nrhs_lt0, bad_ld_a, bad_ld_b, short_ab, short_b, bad_len_ipiv) are defined elsewhere in the codebase and provide meaningful error messages to the user.

Verification successful

The panic messages such as bad_trans, n_lt0, nrhs_lt0, bad_ld_a, bad_ld_b, short_ab, short_b, and bad_len_ipiv are defined in the lapack/lapack64/errors.v file and are used throughout the lapack64 and blas64 modules to provide meaningful error messages.

Scripts Executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Verify the panic messages in the codebase.
rg --type v 'bad_trans|n_lt0|nrhs_lt0|bad_ld_a|bad_ld_b|short_ab|short_b|bad_len_ipiv'

Length of output: 114



Script:

#!/bin/bash
# Search for the panic message definitions without specifying the file type.
rg 'bad_trans|n_lt0|nrhs_lt0|bad_ld_a|bad_ld_b|short_ab|short_b|bad_len_ipiv'

Length of output: 2432

* 'main' of github.com:vlang/vsl:
  Finished #197
  update include and lib paths for openmpi on FreeBSD (#196)
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Review Status

Actionable comments generated: 0

Configuration used: CodeRabbit UI

Commits Files that changed from the base of the PR and between 5bd805c and ea376ac.
Files selected for processing (4)
  • blas/README.md (1 hunks)
  • blas/conversions.v (1 hunks)
  • la/blas.v (16 hunks)
  • lapack/README.md (1 hunks)
Additional comments: 28
blas/README.md (4)
  • 1-3: The introduction clearly states the purpose of the package. Ensure the implementation details mentioned align with the actual code changes.
  • 5-8: The table provides a clear overview of the backends available. Verify that the compilation flags and status descriptions are up-to-date with the latest codebase changes.
Verification successful

The grep results confirm the documentation accuracy for the OpenBLAS backend's compilation flag -d vsl_blas_cblas as mentioned in the blas/README.md and its usage within the repository, specifically in a bin/test script. This suggests that the documentation for the OpenBLAS backend is up-to-date regarding the compilation flag.

However, the review comment's request to verify the compilation flags and status descriptions for all backends, including the "Pure V implementation," was only partially addressed. The verification focused on the OpenBLAS backend, and there was no specific flag to verify for the "Pure V implementation" backend based on the provided context. Therefore, while the OpenBLAS backend documentation is verified to be accurate, the review did not fully cover the "Pure V implementation" backend's status or compilation flags.

Scripts Executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Verify the compilation flags for BLAS backends are correctly documented.
grep -r "vsl_blas_cblas" .

Length of output: 432

* 12-20: The OpenBLAS backend section is informative. Confirm that the installation instructions for OpenBLAS are still valid and that the compilation flag `-d vsl_blas_cblas` is correctly implemented in the build process. * 27-59: Installation instructions for macOS, Debian/Ubuntu, and Arch Linux/Manjaro are provided. Ensure these instructions are current and correct for installing OpenBLAS on these platforms.
lapack/README.md (4)
  • 1-3: The introduction succinctly explains the purpose of the LAPACK package. Confirm that the implementation details are consistent with the code changes.
  • 5-9: The backend table lists BLAS and LAPACKE with their statuses and compilation flags. Verify that these details accurately reflect the current state of the codebase and documentation.
  • 13-21: The LAPACKE backend section provides useful information. Ensure the installation instructions for LAPACKE are accurate and that the compilation flag -d vsl_lapack_lapacke is correctly implemented.
  • 28-58: Installation instructions for macOS, Debian/Ubuntu, and Arch Linux/Manjaro are detailed. Confirm these instructions are up-to-date for installing LAPACKE on these platforms.
la/blas.v (16)
  • 3-3: The import statement correctly references the updated blas module. Confirm that all necessary functions and types from blas are available and used correctly throughout the file.
  • 41-41: The use of blas.ddot for the dot product operation is appropriate. Ensure that the parameters passed match the expected signature of ddot in the blas module.
  • 60-60: The call to blas.daxpy for vector addition is correctly implemented. Verify that the performance implications of using daxpy over manual looping for smaller vectors are considered.
  • 130-130: The use of blas.dgemv for matrix-vector multiplication is correct. Check that the parameters and the decision to use dgemv based on matrix dimensions are optimal.
  • 160-160: The implementation of blas.dgemv for the transpose(matrix)-vector multiplication is appropriate. Confirm that the boolean flag for transposition is correctly passed.
  • 191-191: The call to blas.dger for vector-vector transpose multiplication is correctly used. Ensure that the dimensions and scaling factor are correctly applied.
  • 211-211: The use of blas.dgemv with an addition operation is correctly implemented. Verify that the addition flag (1.0 for beta) is correctly utilized for the operation.
  • 231-231: The call to blas.dgemm for matrix multiplication is correct. Ensure that the parameters, including the no-transpose flags and scaling factors, are accurately passed.
  • 251-251: The implementation of blas.dgemm for transposed matrix multiplication is appropriate. Confirm that the transposition flag for matrix a is correctly set.
  • 260-260: The use of blas.dgemm for matrix multiplication with transposed b is correctly implemented. Verify that the transposition flag for matrix b is accurately set.
  • 269-269: The call to blas.dgemm for multiplication with both matrices transposed is correct. Ensure that both transposition flags are accurately set.
  • 278-278: The implementation of blas.dgemm for matrix multiplication with addition is correctly used. Confirm that the addition flag (1.0 for beta) is correctly utilized.
  • 287-287: The use of blas.dgemm for transposed matrix multiplication with addition is appropriate. Verify that the transposition flag for matrix a and the addition flag are correctly set.
  • 296-296: The call to blas.dgemm for matrix multiplication with transposed b and addition is correctly implemented. Ensure that the transposition flag for matrix b and the addition flag are accurately set.
  • 305-305: The implementation of blas.dgemm for multiplication with both matrices transposed and addition is correct. Confirm that both transposition flags and the addition flag are accurately set.
  • 316-316: The use of blas.daxpy for matrix addition is correctly implemented. Verify that the performance implications of using daxpy over manual looping for smaller matrices are considered.
blas/conversions.v (4)
  • 1-1: The module declaration correctly reflects the updated module name. Confirm that this change is consistent throughout the entire codebase.
  • 7-7: The import statement correctly references the updated blas64 module. Ensure that all necessary functions and types from blas64 are available and used correctly throughout the file.
  • 9-22: The addition of new types (MemoryLayout, Transpose, Uplo, Diagonal, Side) is appropriate. Confirm that these types are correctly used in the context of the BLAS operations.
  • 24-40: The refactoring of helper functions (c_trans, c_uplo, l_uplo, job_vlr) to work with the new types is correctly implemented. Verify that these functions are used appropriately wherever necessary.

* 'main' of github.com:vlang/vsl:
  fix kmeans.v (#199)
  Update maximum dimension checks in HDF5 file functions
* 'main' of github.com:vlang/vsl:
  Refactor print statement to display vector data
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Review Status

Actionable comments generated: 2

Configuration used: CodeRabbit UI

Commits Files that changed from the base of the PR and between ea376ac and ae0628b.
Files selected for processing (2)
  • lapack/lapack64/dgetrf.v (1 hunks)
  • lapack/lapack64/ilaenv.v (1 hunks)
Additional comments: 9
lapack/lapack64/dgetrf.v (6)
  • 27-27: The function signature for dgetrf is clear and well-documented, indicating good maintainability and readability.
  • 30-38: Ensure that the error messages for panic are descriptive enough to help users understand the cause of the error. It's recommended to include more context in the error messages.
  • 52-52: The use of ilaenv to determine the block size (nb) is a good practice as it allows for algorithm tuning based on the specific characteristics of the computation.
  • 54-57: The conditional logic to choose between the blocked and unblocked algorithm based on nb is clear and follows best practices for performance optimization.
  • 59-78: The loop to process matrix blocks is logically sound. However, consider adding comments within the loop to explain the purpose of each major step for better readability and maintainability.
  • 74-75: Using unsafe to create a slice may lead to potential issues if not handled carefully. Ensure that the bounds are correctly calculated to prevent out-of-bounds access.
lapack/lapack64/ilaenv.v (3)
  • 22-22: The function signature for ilaenv is clear and well-documented, indicating good maintainability and readability.
  • 24-28: The initial checks for sname and cname based on the first character of name are a good practice for early validation of input parameters.
  • 245-245: Ensure that the min function is defined and correctly calculates the minimum of n1 and n2. This line assumes the existence of such a function, which is crucial for the correct operation of ilaenv.

Comment on lines 34 to 271
'QR', 'RQ', 'LQ', 'QL', 'HR', 'TR', 'BR' {
return 2
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
3 {
match c2 {
'GE' {
match c3 {
'QRF', 'RQF', 'LQF', 'QLF', 'HRD', 'BRD' {
if sname {
return 128
}
return 128
}
else {
panic(bad_name)
}
}
}
'SY', 'HE' {
if c3 == 'TRD' {
return 32
}
panic(bad_name)
}
'OR', 'UN' {
match c3[0] {
'G' {
match c4 {
'QR', 'RQ', 'LQ', 'QL', 'HR', 'TR', 'BR' {
return 128
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
4 {
// Used by xHSEQR
return 6
}
5 {
// Not used
return 2
}
6 {
// Used by xGELSS and xGESVD
// Assuming n1 and n2 are defined elsewhere in your code
// Replace `min(n1, n2)` with actual min calculation or function
return int(f64(min(n1, n2)) * 1.6)
}
7 {
// Not used
return 1
}
8 {
// Used by xHSEQR
return 50
}
9 {
// Used by xGELSD and xGESDD
return 25
}
10, 11 {
// Go guarantees ieee
return 1
}
12, 13, 14, 15, 16 {
// dhseqr and related functions for eigenvalue problems.
return iparmq(ispec, name, opts, n1, n2, n3, n4)
}
else {
panic(bad_ispec)
}
}
return 0
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The extensive use of match statements for algorithm tuning parameter selection is logically sound. However, consider refactoring to reduce the complexity and improve maintainability. Extracting repeated logic into separate functions or using a data-driven approach could be beneficial.

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Actionable comments posted: 4

Comment on lines 69 to 73
info := C.LAPACKE_dgesvd(.row_major, jobu, jobvt, m, n, &a[0], lda, &s[0], &u[0],
ldu, &vt[0], ldvt, &superb[0])
if info != 0 {
errors.vsl_panic('lapack failed', .efailed)
}
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Consider improving error handling in dgesvd. Instead of panicking, it might be better to return an error to the caller, allowing them to decide how to handle it.

Comment on lines 93 to 94
lapack64.dgetrf(m, n, mut a, lda, ipiv)
}
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Consider improving error handling in dgetrf to return errors instead of panicking, providing more flexibility to the caller.

Comment on lines 131 to 135
unsafe {
info := C.LAPACKE_dpotrf(.row_major, blas.l_uplo(up), n, &a[0], lda)
if info != 0 {
errors.vsl_panic('lapack failed', .efailed)
}
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Consider improving error handling in dpotrf to return errors instead of panicking, providing more flexibility to the caller.

Comment on lines 178 to 182
info := C.LAPACKE_dgeev(.row_major, &char(blas.job_vlr(calc_vl).str().str), &char(blas.job_vlr(calc_vr).str().str),
n, &a[0], lda, &wr[0], &wi[0], &vvl, ldvl, &vvr, ldvr)
if info != 0 {
errors.vsl_panic('lapack failed', .efailed)
}
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Consider improving error handling in dgeev to return errors instead of panicking, providing more flexibility to the caller.

* 'main' of github.com:vlang/vsl:
  refactor: Update create_image_2d function to use local variable for format
  Update lint.yml
  Update lint.yml
  refactor: update README.md to include link to examples folder
  refactor: update README.md to include link to examples folder
  fix error in examples/vcl_opencl_fractals_one_argument/main.v (fix main V CI)
  refactor: Update image creation functions to use generic 'image' instead of 'image_2d'
  refactor: Update image creation functions to use generic 'image' instead of 'image_2d'
  refactor: Update create_image_2d function to use local variable for format
  chore: Add output image to README
  chore: Remove unused plot examples using script mode
  refactor: Update AC signal calculation to include amplitude parameter
  chore: Update plot examples with axis titles and script mode
  1 basic plotting example with axis titles and 3 more ones using script mode (#205)
  remove unused `math` import, run `v fmt -w .`
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Actionable comments posted: 1

Review details

Configuration used: CodeRabbit UI
Review profile: CHILL

Commits

Files that changed from the base of the PR and between ab34e62 and b2f481c.

Files selected for processing (5)
  • lapack/lapack64/dgesv.v (1 hunks)
  • lapack/lapack64/dgetrf.v (1 hunks)
  • lapack/lapack64/dgetrs.v (1 hunks)
  • lapack/lapack64/errors.v (1 hunks)
  • lapack/lapack64/ilaenv.v (1 hunks)
Files skipped from review due to trivial changes (1)
  • lapack/lapack64/errors.v
Additional comments not posted (3)
lapack/lapack64/dgesv.v (1)

1-56: The implementation of dgesv function is robust and well-documented, providing clear error handling and utilizing efficient linear algebra routines.

lapack/lapack64/dgetrs.v (1)

1-67: The dgetrs function is correctly implemented with comprehensive error handling and efficient use of BLAS routines for solving linear equations.

lapack/lapack64/dgetrf.v (1)

1-88: The dgetrf function is well-implemented with robust error handling and efficient use of blocked and unblocked algorithms for LU decomposition.

Comment on lines 1 to 272
return 2
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
3 {
match c2 {
'GE' {
match c3 {
'QRF', 'RQF', 'LQF', 'QLF', 'HRD', 'BRD' {
if sname {
return 128
}
return 128
}
else {
panic(bad_name)
}
}
}
'SY', 'HE' {
if c3 == 'TRD' {
return 32
}
panic(bad_name)
}
'OR', 'UN' {
match c3[0] {
`G` {
match c4 {
'QR', 'RQ', 'LQ', 'QL', 'HR', 'TR', 'BR' {
return 128
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
else {
panic(bad_name)
}
}
}
4 {
// Used by xHSEQR
return 6
}
5 {
// Not used
return 2
}
6 {
// Used by xGELSS and xGESVD
// Assuming n1 and n2 are defined elsewhere in your code
// Replace `min(n1, n2)` with actual min calculation or function
return int(f64(min(n1, n2)) * 1.6)
}
7 {
// Not used
return 1
}
8 {
// Used by xHSEQR
return 50
}
9 {
// Used by xGELSD and xGESDD
return 25
}
10, 11 {
// Go guarantees ieee
return 1
}
12, 13, 14, 15, 16 {
// dhseqr and related functions for eigenvalue problems.
return iparmq(ispec, name, opts, n1, n2, n3, n4)
}
else {
panic(bad_ispec)
}
}
return 0
}
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Consider refactoring the ilaenv function to reduce complexity and improve maintainability. Extracting repeated logic into separate functions or using a data-driven approach could be beneficial.

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Actionable comments posted: 9

Outside diff range and nitpick comments (7)
lapack/lapack64/dsyev.v (1)

35-37: Placeholder for LAPACK function calls should be documented or implemented if this is meant for production.

Consider adding a comment to clarify that the actual LAPACK function calls should replace the placeholder in future development.

lapack/lapack64/dgeev.v (1)

36-38: Placeholder for LAPACK function calls should be documented or implemented if this is meant for production.

Consider documenting that actual LAPACK function calls should replace the placeholder in future development.

lapack/lapack64/dgesvd.v (1)

39-41: Placeholder for LAPACK function calls should be documented or implemented if this is meant for production.

Consider documenting that actual LAPACK function calls should replace the placeholder in future development.

la/matrix_ops.v (1)

Line range hint 93-122: Correct usage of updated LAPACK functions in matrix_svd and matrix_inv. Consider improving the hardcoded tolerance value for pseudo-inverse calculations.

Consider using a dynamically computed tolerance based on matrix properties to improve numerical stability.

lapack/lapack_notd_vsl_lapack_lapacke.v (1)

3-5: Please ensure consistent spacing in import statements for better readability.

lapack/lapack_d_vsl_lapack_lapacke.v (1)

1-4: The import statements are well-organized. However, adding a newline between the module declaration and the imports would improve readability.

blas/oblas_d_vsl_blas_cblas.v (1)

189-189: Add documentation for the set_num_threads function to explain its impact on performance and when it should be called.

Proper documentation will help future developers understand the importance of thread management in performance-critical applications.

Review details

Configuration used: CodeRabbit UI
Review profile: CHILL

Commits

Files that changed from the base of the PR and between b2f481c and e43bfa5.

Files selected for processing (17)
  • blas/oblas_d_vsl_blas_cblas.v (1 hunks)
  • la/matrix_ops.v (5 hunks)
  • lapack/conversions.v (1 hunks)
  • lapack/lapack64/conversions.v (1 hunks)
  • lapack/lapack64/dgebal.v (1 hunks)
  • lapack/lapack64/dgeev.v (1 hunks)
  • lapack/lapack64/dgehrd.v (1 hunks)
  • lapack/lapack64/dgesv.v (1 hunks)
  • lapack/lapack64/dgesvd.v (1 hunks)
  • lapack/lapack64/dgetrf.v (1 hunks)
  • lapack/lapack64/dgetri.v (1 hunks)
  • lapack/lapack64/dgetrs.v (1 hunks)
  • lapack/lapack64/dpotrf.v (1 hunks)
  • lapack/lapack64/dsyev.v (1 hunks)
  • lapack/lapack64/ilaenv.v (1 hunks)
  • lapack/lapack_d_vsl_lapack_lapacke.v (4 hunks)
  • lapack/lapack_notd_vsl_lapack_lapacke.v (1 hunks)
Files not summarized due to errors (1)
  • blas/oblas_d_vsl_blas_cblas.v: Error: Message exceeds token limit
Files skipped from review due to trivial changes (1)
  • lapack/conversions.v
Files skipped from review as they are similar to previous changes (4)
  • lapack/lapack64/dgesv.v
  • lapack/lapack64/dgetrf.v
  • lapack/lapack64/dgetrs.v
  • lapack/lapack64/ilaenv.v
Additional comments not posted (16)
lapack/lapack64/dgetri.v (1)

7-7: Refactoring approved: Use of mutable integer slices for ipiv enhances clarity and consistency.

lapack/lapack64/dpotrf.v (1)

7-7: Refactoring approved: Use of Uplo enum for uplo parameter enhances clarity and consistency.

lapack/lapack64/dgebal.v (1)

7-7: Refactoring approved: Use of BalanceJob enum for job parameter enhances clarity and consistency.

lapack/lapack64/dsyev.v (1)

7-7: Updated function signature with enums enhances type safety and clarity.

lapack/lapack64/dgeev.v (1)

7-7: Updated function signature with specific enums for left and right eigenvectors improves clarity and correctness.

lapack/lapack64/dgesvd.v (1)

7-7: Updated function signature with SVDJob enum enhances clarity and ensures correct usage.

la/matrix_ops.v (2)

Line range hint 4-16: Correct use of updated import and function call in matrix_det. Good error handling for non-square matrices.


4-4: Proper error handling and condition checks in matrix_inv_small. Well-structured for handling small matrices.

lapack/lapack_notd_vsl_lapack_lapacke.v (3)

30-32: The function dgesv correctly delegates to lapack64.dgesv. Ensure that the lapack64 module's function signature and expected behavior align with this usage.

Verification successful

The function lapack64.dgesv is defined in lapack/lapack64/dgesv.v with the following signature:

pub fn dgesv(n int, nrhs int, mut a []f64, lda int, mut ipiv []int, mut b []f64, ldb int) {

This signature matches the usage in the provided code snippet.

  • lapack/lapack64/dgesv.v:pub fn dgesv(n int, nrhs int, mut a []f64, lda int, mut ipiv []int, mut b []f64, ldb int) {
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Verify the function signature and behavior of lapack64.dgesv
ast-grep --lang v --pattern $'module lapack64 {
  pub fn dgesv($_, $_, $_, $_, $_, $_, $_) {
    $$$
  }
}'

Length of output: 211



Script:

#!/bin/bash
# Search for the definition of the dgesv function in the lapack64 module
rg --pcre2 --multiline --multiline-dotall 'module lapack64\s*{\s*.*?pub fn dgesv\((.*?)\)\s*{.*?}' --glob '*.v'

Length of output: 113



Script:

#!/bin/bash
# Search for the definition of the dgesv function across the entire codebase
rg --pcre2 --multiline --multiline-dotall 'pub fn dgesv\((.*?)\)\s*{.*?}' --glob '*.v'

Length of output: 873


115-118: The logic in dpotrf seems correct, but ensure that the blas.c_uplo(up) function properly translates the boolean up to the required Uplo type.

Verification successful

The c_uplo function in blas/conversions.v correctly translates the boolean up to the required Uplo type by returning .upper if up is true and .lower if up is false. This ensures that the boolean input is properly handled.

  • blas/conversions.v
    pub fn c_uplo(up bool) Uplo {
        return if up { .upper } else { .lower }
    }
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Verify the implementation of blas.c_uplo to ensure it handles boolean inputs correctly.
ast-grep --lang v --pattern $'fn c_uplo(up bool) {
  $$$
}'

Length of output: 163



Script:

#!/bin/bash
# Search for the definition of the c_uplo function in the codebase
rg 'fn c_uplo' --v

Length of output: 426



Script:

#!/bin/bash
# Search for the definition of the c_uplo function in the codebase
rg 'fn c_uplo'

Length of output: 65



Script:

#!/bin/bash
# Extract the implementation of the c_uplo function from blas/conversions.v
rg -A 10 'fn c_uplo' blas/conversions.v

Length of output: 328


78-80: Ensure proper memory safety when using unsafe blocks, especially when dereferencing pointers in C.LAPACKE_dgetrf.

lapack/lapack64/conversions.v (2)

1-1: The module declaration is concise and clear.


4-35: Enums like Direct, Sort, StoreV, and MatrixNorm are well-defined with appropriate documentation. Ensure that the corresponding usage throughout the codebase aligns with these definitions.

lapack/lapack_d_vsl_lapack_lapacke.v (1)

8-18: The function declarations using the C interface are correctly defined. Ensure that the external C functions are appropriately declared in the corresponding C header files and that the ABI matches.

blas/oblas_d_vsl_blas_cblas.v (2)

1-1: Change of module name from vlas to blas is consistent with the PR's objective of renaming for clarity.


3-72: Ensure that the function bindings to the C library are accurate and correctly typed. These bindings are crucial for the performance of the linear algebra operations.

Verification successful

The verification of the C function bindings in the V language implementation has been completed. The function signatures in the cblas.h file match those in the V code.

  • cblas_sdsdot: Matches
  • cblas_dsdot: Matches
  • cblas_sdot: Matches
  • cblas_ddot: Matches
  • cblas_cdotu: Matches
  • cblas_cdotc: Matches
  • cblas_zdotu: Matches
  • cblas_zdotc: Matches
  • cblas_cdotu_sub: Matches
  • cblas_cdotc_sub: Matches
  • cblas_zdotu_sub: Matches
  • cblas_zdotc_sub: Matches
  • cblas_sasum: Matches
  • cblas_dasum: Matches
  • cblas_scasum: Matches
  • cblas_dzasum: Matches
  • cblas_ssum: Matches
  • cblas_dsum: Matches
  • cblas_scsum: Matches
  • cblas_dzsum: Matches
  • cblas_snrm2: Matches
  • cblas_dnrm2: Matches
  • cblas_scnrm2: Matches
  • cblas_dznrm2: Matches
  • cblas_isamax: Matches
  • cblas_idamax: Matches
  • cblas_icamax: Matches
  • cblas_izamax: Matches
  • cblas_isamin: Matches
  • cblas_idamin: Matches
  • cblas_icamin: Matches
  • cblas_izamin: Matches
  • cblas_ismax: Matches
  • cblas_idmax: Matches
  • cblas_icmax: Matches
  • cblas_izmax: Matches
  • cblas_ismin: Matches
  • cblas_idmin: Matches
  • cblas_icmin: Matches
  • cblas_izmin: Matches
  • cblas_saxpy: Matches
  • cblas_daxpy: Matches
  • cblas_caxpy: Matches
  • cblas_zaxpy: Matches
  • cblas_scopy: Matches
  • cblas_dcopy: Matches
  • cblas_ccopy: Matches
  • cblas_zcopy: Matches
  • cblas_sswap: Matches
  • cblas_dswap: Matches
  • cblas_cswap: Matches
  • cblas_zswap: Matches
  • cblas_srot: Matches
  • cblas_drot: Matches
  • cblas_srotg: Matches
  • cblas_drotg: Matches
  • cblas_srotm: Matches
  • cblas_drotm: Matches
  • cblas_srotmg: Matches
  • cblas_drotmg: Matches
  • cblas_sscal: Matches
  • cblas_dscal: Matches
  • cblas_cscal: Matches
  • cblas_zscal: Matches
  • cblas_csscal: Matches
  • cblas_zdscal: Matches
  • cblas_sgemv: Matches

The bindings in the V code are accurate and correctly typed.

Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify the accuracy of C function bindings in the V language implementation.

# Test: Check the C header files to ensure function signatures match.
cat /usr/include/cblas.h | grep cblas_sdsdot
cat /usr/include/cblas.h | grep cblas_dsdot
cat /usr/include/cblas.h | grep cblas_sdot
# Repeat for all bindings...

Length of output: 296



Script:

#!/bin/bash
# Locate the cblas.h file within the repository or system include directories
fd cblas.h /usr/include /usr/local/include /opt

Length of output: 265



Script:

#!/bin/bash
# Locate the cblas.h file within the entire file system
fd cblas.h /

Length of output: 46



Script:

#!/bin/bash
# Description: Verify the accuracy of C function bindings in the V language implementation.

# Test: Check the cblas.h file to ensure function signatures match.
cat /home/jailuser/git/blas/cblas.h | grep cblas_sdsdot
cat /home/jailuser/git/blas/cblas.h | grep cblas_dsdot
cat /home/jailuser/git/blas/cblas.h | grep cblas_sdot
cat /home/jailuser/git/blas/cblas.h | grep cblas_ddot
cat /home/jailuser/git/blas/cblas.h | grep cblas_cdotu
cat /home/jailuser/git/blas/cblas.h | grep cblas_cdotc
cat /home/jailuser/git/blas/cblas.h | grep cblas_zdotu
cat /home/jailuser/git/blas/cblas.h | grep cblas_zdotc
cat /home/jailuser/git/blas/cblas.h | grep cblas_cdotu_sub
cat /home/jailuser/git/blas/cblas.h | grep cblas_cdotc_sub
cat /home/jailuser/git/blas/cblas.h | grep cblas_zdotu_sub
cat /home/jailuser/git/blas/cblas.h | grep cblas_zdotc_sub
cat /home/jailuser/git/blas/cblas.h | grep cblas_sasum
cat /home/jailuser/git/blas/cblas.h | grep cblas_dasum
cat /home/jailuser/git/blas/cblas.h | grep cblas_scasum
cat /home/jailuser/git/blas/cblas.h | grep cblas_dzasum
cat /home/jailuser/git/blas/cblas.h | grep cblas_ssum
cat /home/jailuser/git/blas/cblas.h | grep cblas_dsum
cat /home/jailuser/git/blas/cblas.h | grep cblas_scsum
cat /home/jailuser/git/blas/cblas.h | grep cblas_dzsum
cat /home/jailuser/git/blas/cblas.h | grep cblas_snrm2
cat /home/jailuser/git/blas/cblas.h | grep cblas_dnrm2
cat /home/jailuser/git/blas/cblas.h | grep cblas_scnrm2
cat /home/jailuser/git/blas/cblas.h | grep cblas_dznrm2
cat /home/jailuser/git/blas/cblas.h | grep cblas_isamax
cat /home/jailuser/git/blas/cblas.h | grep cblas_idamax
cat /home/jailuser/git/blas/cblas.h | grep cblas_icamax
cat /home/jailuser/git/blas/cblas.h | grep cblas_izamax
cat /home/jailuser/git/blas/cblas.h | grep cblas_isamin
cat /home/jailuser/git/blas/cblas.h | grep cblas_idamin
cat /home/jailuser/git/blas/cblas.h | grep cblas_icamin
cat /home/jailuser/git/blas/cblas.h | grep cblas_izamin
cat /home/jailuser/git/blas/cblas.h | grep cblas_ismax
cat /home/jailuser/git/blas/cblas.h | grep cblas_idmax
cat /home/jailuser/git/blas/cblas.h | grep cblas_icmax
cat /home/jailuser/git/blas/cblas.h | grep cblas_izmax
cat /home/jailuser/git/blas/cblas.h | grep cblas_ismin
cat /home/jailuser/git/blas/cblas.h | grep cblas_idmin
cat /home/jailuser/git/blas/cblas.h | grep cblas_icmin
cat /home/jailuser/git/blas/cblas.h | grep cblas_izmin
cat /home/jailuser/git/blas/cblas.h | grep cblas_saxpy
cat /home/jailuser/git/blas/cblas.h | grep cblas_daxpy
cat /home/jailuser/git/blas/cblas.h | grep cblas_caxpy
cat /home/jailuser/git/blas/cblas.h | grep cblas_zaxpy
cat /home/jailuser/git/blas/cblas.h | grep cblas_scopy
cat /home/jailuser/git/blas/cblas.h | grep cblas_dcopy
cat /home/jailuser/git/blas/cblas.h | grep cblas_ccopy
cat /home/jailuser/git/blas/cblas.h | grep cblas_zcopy
cat /home/jailuser/git/blas/cblas.h | grep cblas_sswap
cat /home/jailuser/git/blas/cblas.h | grep cblas_dswap
cat /home/jailuser/git/blas/cblas.h | grep cblas_cswap
cat /home/jailuser/git/blas/cblas.h | grep cblas_zswap
cat /home/jailuser/git/blas/cblas.h | grep cblas_srot
cat /home/jailuser/git/blas/cblas.h | grep cblas_drot
cat /home/jailuser/git/blas/cblas.h | grep cblas_srotg
cat /home/jailuser/git/blas/cblas.h | grep cblas_drotg
cat /home/jailuser/git/blas/cblas.h | grep cblas_srotm
cat /home/jailuser/git/blas/cblas.h | grep cblas_drotm
cat /home/jailuser/git/blas/cblas.h | grep cblas_srotmg
cat /home/jailuser/git/blas/cblas.h | grep cblas_drotmg
cat /home/jailuser/git/blas/cblas.h | grep cblas_sscal
cat /home/jailuser/git/blas/cblas.h | grep cblas_dscal
cat /home/jailuser/git/blas/cblas.h | grep cblas_cscal
cat /home/jailuser/git/blas/cblas.h | grep cblas_zscal
cat /home/jailuser/git/blas/cblas.h | grep cblas_csscal
cat /home/jailuser/git/blas/cblas.h | grep cblas_zdscal
cat /home/jailuser/git/blas/cblas.h | grep cblas_sgemv

Length of output: 12196

Comment on lines 195 to 1058
beta, c, ldc)
}

@[inline]
pub fn zher2k(uplo bool, trans bool, n int, k int, alpha voidptr, a voidptr, lda int, b voidptr, ldb int, beta f64, mut c voidptr, ldc int) {
C.cblas_zher2k(.row_major, c_uplo(uplo), c_trans(trans), n, k, alpha, a, lda, b, ldb,
beta, c, ldc)
}

@[inline]
pub fn saxpby(n int, alpha f32, x []f32, incx int, beta f32, mut y []f32, incy int) {
C.cblas_saxpby(n, alpha, unsafe { &x[0] }, incx, beta, unsafe { &y[0] }, incy)
}

@[inline]
pub fn daxpby(n int, alpha f64, x []f64, incx int, beta f64, mut y []f64, incy int) {
C.cblas_daxpby(n, alpha, unsafe { &x[0] }, incx, beta, unsafe { &y[0] }, incy)
}

@[inline]
pub fn caxpby(n int, alpha voidptr, x voidptr, incx int, beta voidptr, mut y voidptr, incy int) {
C.cblas_caxpby(n, alpha, x, incx, beta, y, incy)
}

@[inline]
pub fn zaxpby(n int, alpha voidptr, x voidptr, incx int, beta voidptr, mut y voidptr, incy int) {
C.cblas_zaxpby(n, alpha, x, incx, beta, y, incy)
}

@[inline]
pub fn somatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha f32, a []f32, lda int, mut b []f32, ldb int) {
C.cblas_somatcopy(order, c_trans(trans), rows, cols, alpha, unsafe { &a[0] }, lda,
unsafe { &b[0] }, ldb)
}

@[inline]
pub fn domatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha f64, a []f64, lda int, mut b []f64, ldb int) {
C.cblas_domatcopy(order, c_trans(trans), rows, cols, alpha, unsafe { &a[0] }, lda,
unsafe { &b[0] }, ldb)
}

@[inline]
pub fn comatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha &f32, a &f32, lda int, mut b &f32, ldb int) {
C.cblas_comatcopy(order, c_trans(trans), rows, cols, alpha, a, lda, b, ldb)
}

@[inline]
pub fn zomatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha &f64, a &f64, lda int, mut b &f64, ldb int) {
C.cblas_zomatcopy(order, c_trans(trans), rows, cols, alpha, a, lda, b, ldb)
}

@[inline]
pub fn simatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha f32, mut a []f32, lda int, ldb int) {
C.cblas_simatcopy(order, c_trans(trans), rows, cols, alpha, unsafe { &a[0] }, lda,
ldb)
}

@[inline]
pub fn dimatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha f64, mut a []f64, lda int, ldb int) {
C.cblas_dimatcopy(order, c_trans(trans), rows, cols, alpha, unsafe { &a[0] }, lda,
ldb)
}

@[inline]
pub fn cimatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha &f32, mut a &f32, lda int, ldb int) {
C.cblas_cimatcopy(order, c_trans(trans), rows, cols, alpha, a, lda, ldb)
}

@[inline]
pub fn zimatcopy(order MemoryLayout, trans bool, rows int, cols int, alpha &f64, mut a &f64, lda int, ldb int) {
C.cblas_zimatcopy(order, c_trans(trans), rows, cols, alpha, a, lda, ldb)
}

@[inline]
pub fn sgeadd(order MemoryLayout, rows int, cols int, alpha f32, a []f32, lda int, beta f32, mut c []f32, ldc int) {
C.cblas_sgeadd(order, rows, cols, alpha, unsafe { &a[0] }, lda, beta, unsafe { &c[0] },
ldc)
}

@[inline]
pub fn dgeadd(order MemoryLayout, rows int, cols int, alpha f64, a []f64, lda int, beta f64, mut c []f64, ldc int) {
C.cblas_dgeadd(order, rows, cols, alpha, unsafe { &a[0] }, lda, beta, unsafe { &c[0] },
ldc)
}

@[inline]
pub fn cgeadd(order MemoryLayout, rows int, cols int, alpha &f32, a &f32, lda int, beta &f32, mut c &f32, ldc int) {
C.cblas_cgeadd(order, rows, cols, alpha, a, lda, beta, c, ldc)
}

@[inline]
pub fn zgeadd(order MemoryLayout, rows int, cols int, alpha &f64, a &f64, lda int, beta &f64, mut c &f64, ldc int) {
C.cblas_zgeadd(order, rows, cols, alpha, a, lda, beta, c, ldc)
}

@[inline]
pub fn dgemm(trans_a bool, trans_b bool, m int, n int, k int, alpha f64, a []f64, lda int, b []f64, ldb int, beta f64, mut cc []f64, ldc int) {
C.cblas_dgemm(.row_major, c_trans(trans_a), c_trans(trans_b), m, n, k, alpha, unsafe { &a[0] },
lda, unsafe { &b[0] }, ldb, beta, unsafe { &cc[0] }, ldc)
}
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Review the use of unsafe blocks and pointers. While necessary for C interop, ensure they are minimized and properly documented to prevent misuse.

Consider wrapping unsafe operations in safer, higher-level abstractions where possible, especially for operations that are frequently used throughout the codebase.

Comment on lines 54 to 60
pub fn dgesvd(jobu SVDJob, jobvt SVDJob, m int, n int, mut a []f64, lda int, s []f64, mut u []f64, ldu int, mut vt []f64, ldvt int, superb []f64) {
info := lapack64.dgesvd(jobu, jobvt, m, n, mut a, lda, s, mut u, ldu, mut vt, ldvt,
superb)
if info != 0 {
errors.vsl_panic('lapack failed', .efailed)
}
}
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Good use of error handling with vsl_panic in dgesvd. However, consider enhancing the error message to include more details about the failure for easier debugging.

-		errors.vsl_panic('lapack failed', .efailed)
+		errors.vsl_panic('LAPACK dgesvd failed with error code: $info', .efailed)
Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn dgesvd(jobu SVDJob, jobvt SVDJob, m int, n int, mut a []f64, lda int, s []f64, mut u []f64, ldu int, mut vt []f64, ldvt int, superb []f64) {
info := lapack64.dgesvd(jobu, jobvt, m, n, mut a, lda, s, mut u, ldu, mut vt, ldvt,
superb)
if info != 0 {
errors.vsl_panic('lapack failed', .efailed)
}
}
pub fn dgesvd(jobu SVDJob, jobvt SVDJob, m int, n int, mut a []f64, lda int, s []f64, mut u []f64, ldu int, mut vt []f64, ldvt int, superb []f64) {
info := lapack64.dgesvd(jobu, jobvt, m, n, mut a, lda, s, mut u, ldu, mut vt, ldvt,
superb)
if info != 0 {
errors.vsl_panic('LAPACK dgesvd failed with error code: $info', .efailed)
}
}

Comment on lines 7 to 31
pub fn dgetri(n int, mut a []f64, lda int, ipiv []int) int {
if n == 0 {
return 0
}

mut info := 0
if n < 0 {
info = -1
} else if lda < math.max(1, n) {
info = -3
}

if info != 0 {
return info
}

// Quick return if possible
if n == 0 {
return 0
}

// Placeholder for the actual LAPACK function calls
// Example: info = dgetri(n, a, lda, ipiv, work, lwork)
return info
}
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Ensure the implementation of the LAPACK function calls is completed as indicated by the placeholder comment.

The function currently does not perform the matrix inversion but returns an uninitialized info variable. Completing the implementation is crucial for the functionality of this function.

Comment on lines 7 to 32
pub fn dpotrf(uplo blas.Uplo, n int, mut a []f64, lda int) int {
if n == 0 {
return 0
}

mut info := 0
if uplo != .upper && uplo != .lower {
info = -1
} else if n < 0 {
info = -2
} else if lda < math.max(1, n) {
info = -4
}

if info != 0 {
return info
}

// Quick return if possible
if n == 0 {
return 0
}

// Placeholder for the actual LAPACK function calls
// Example: info = dpotrf(uplo, n, a, lda, work, lwork)
return info
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Ensure the implementation of the LAPACK function calls is completed as indicated by the placeholder comment.

The function currently does not perform the Cholesky decomposition but returns an uninitialized info variable. Completing the implementation is crucial for the functionality of this function.

Comment on lines +7 to +32
pub fn dgebal(job BalanceJob, n int, mut a []f64, lda int, scale []f64) int {
if n == 0 {
return 0
}

mut info := 0
if job != .balance_none && job != .permute && job != .scale && job != .permute_scale {
info = -1
} else if n < 0 {
info = -2
} else if lda < math.max(1, n) {
info = -4
}

if info != 0 {
return info
}

// Quick return if possible
if n == 0 {
return 0
}

// Placeholder for the actual LAPACK function calls
// Example: info = dgebal(job, n, a, lda, scale)
return info
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Ensure the implementation of the LAPACK function calls is completed as indicated by the placeholder comment.

The function currently does not perform matrix balancing but returns an uninitialized info variable. Completing the implementation is crucial for the functionality of this function.

Comment on lines +7 to +34
pub fn dgehrd(n int, ilo int, ihi int, mut a []f64, lda int, tau []f64) int {
if n == 0 {
return 0
}

mut info := 0
if n < 0 {
info = -1
} else if ilo < 1 || ilo > math.max(1, n) {
info = -2
} else if ihi < math.min(ilo, n) || ihi > n {
info = -3
} else if lda < math.max(1, n) {
info = -5
}

if info != 0 {
return info
}

// Quick return if possible
if n == 0 {
return 0
}

// Placeholder for the actual LAPACK function calls
// Example: info = dgehrd(n, ilo, ihi, a, lda, tau, work, lwork)
return info
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Ensure the implementation of the LAPACK function calls is completed as indicated by the placeholder comment.

The function currently does not perform the reduction to Hessenberg form but returns an uninitialized info variable. Completing the implementation is crucial for the functionality of this function.

Comment on lines 37 to 199
// Compute eigenvectors of the tridiagonal matrix.
ev_tridiag = u8(`I`)
// Do not compute eigenvectors.
ev_comp_none = u8(`N`)
}

// EVJob specifies whether eigenvectors are computed in Dsyev.
pub enum EVJob as u8 {
// Compute eigenvectors.
ev_compute = u8(`V`)
// Do not compute eigenvectors.
ev_none = u8(`N`)
}

// LeftEVJob specifies whether left eigenvectors are computed in Dgeev.
pub enum LeftEVJob as u8 {
// Compute left eigenvectors.
left_ev_compute = u8(`V`)
// Do not compute left eigenvectors.
left_ev_none = u8(`N`)
}

// RightEVJob specifies whether right eigenvectors are computed in Dgeev.
pub enum RightEVJob as u8 {
// Compute right eigenvectors.
right_ev_compute = u8(`V`)
// Do not compute right eigenvectors.
right_ev_none = u8(`N`)
}

// BalanceJob specifies matrix balancing operation.
pub enum BalanceJob as u8 {
permute = u8(`P`)
scale = u8(`S`)
permute_scale = u8(`B`)
balance_none = u8(`N`)
}

// SchurJob specifies whether the Schur form is computed in Dhseqr.
pub enum SchurJob as u8 {
eigenvalues_only = u8(`E`)
eigenvalues_and_schur = u8(`S`)
}

// SchurComp specifies whether and how the Schur vectors are computed in Dhseqr.
pub enum SchurComp as u8 {
// Compute Schur vectors of the original matrix.
schur_orig = u8(`V`)
// Compute Schur vectors of the upper Hessenberg matrix.
schur_hess = u8(`I`)
// Do not compute Schur vectors.
schur_none = u8(`N`)
}

// UpdateSchurComp specifies whether the matrix of Schur vectors is updated in Dtrexc.
pub enum UpdateSchurComp as u8 {
// Update the matrix of Schur vectors.
update_schur = u8(`V`)
// Do not update the matrix of Schur vectors.
update_schur_none = u8(`N`)
}

// EVSide specifies what eigenvectors are computed in Dtrevc3.
pub enum EVSide as u8 {
// Compute only right eigenvectors.
ev_right = u8(`R`)
// Compute only left eigenvectors.
ev_left = u8(`L`)
// Compute both right and left eigenvectors.
ev_both = u8(`B`)
}

// EVHowMany specifies which eigenvectors are computed in Dtrevc3 and how.
pub enum EVHowMany as u8 {
// Compute all right and/or left eigenvectors.
ev_all = u8(`A`)
// Compute all right and/or left eigenvectors multiplied by an input matrix.
ev_all_mul_q = u8(`B`)
// Compute selected right and/or left eigenvectors.
ev_selected = u8(`S`)
}

// MaximizeNormXJob specifies the heuristic method for computing a contribution to
// the reciprocal Dif-estimate in Dlatdf.
pub enum MaximizeNormXJob as u8 {
// Solve Z*x=h-f where h is a vector of ±1.
local_look_ahead = 0
// Compute an approximate null-vector e of Z, normalize e and solve Z*x=±e-f.
normalized_null_vector = 2
}

// OrthoComp specifies whether and how the orthogonal matrix is computed in Dgghrd.
pub enum OrthoComp as u8 {
// Do not compute the orthogonal matrix.
ortho_none = u8(`N`)
// The orthogonal matrix is formed explicitly and returned in the argument.
ortho_explicit = u8(`I`)
// The orthogonal matrix is post-multiplied into the matrix stored in the argument on entry.
ortho_postmul = u8(`V`)
}
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The enums MatrixType, Pivot, ApplyOrtho, etc., are comprehensive and cover a wide range of functionalities. Consider adding unit tests to verify the correctness of each enum value's behavior in functions where they are used.

Would you like me to help by creating some unit tests for these enums?

Comment on lines +77 to +79
pub fn dgesvd(jobu SVDJob, jobvt SVDJob, m int, n int, mut a []f64, lda int, s []f64, mut u []f64, ldu int, mut vt []f64, ldvt int, superb []f64) {
info := C.LAPACKE_dgesvd(.row_major, jobu, jobvt, m, n, unsafe { &a[0] }, lda, &s[0],
unsafe { &u[0] }, ldu, unsafe { &vt[0] }, ldvt, &superb[0])
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Error handling using vsl_panic is consistent across functions. Consider centralizing error handling to reduce redundancy and improve maintainability.

-		errors.vsl_panic('lapack failed', .efailed)
+		handle_lapack_error(info)
// Add a new function to handle LAPACK errors centrally
fn handle_lapack_error(info int) {
	if info != 0 {
		errors.vsl_panic('LAPACK operation failed with error code: $info', .efailed)
	}
}

Also applies to: 146-146, 192-193

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Actionable comments posted: 2

Outside diff range and nitpick comments (1)
lapack/lapack64/ilaenv.v (1)

25-25: Consider replacing the placeholder comment with a more concrete plan or remove it if not applicable.

The TODO comment suggests replacing the current implementation with a constant lookup or a list of constants, which could potentially improve performance and maintainability. If this change is not planned in the near future, it might be better to remove the comment to avoid confusion.

Review details

Configuration used: CodeRabbit UI
Review profile: CHILL

Commits

Files that changed from the base of the PR and between e43bfa5 and bfa6907.

Files selected for processing (1)
  • lapack/lapack64/ilaenv.v (1 hunks)
Additional comments not posted (1)
lapack/lapack64/ilaenv.v (1)

247-247: Ensure accurate calculation in the return statement.

The expression int(f64(math.min(n1, n2)) * 1.6) converts the minimum of n1 and n2 into a floating-point number, multiplies it by 1.6, and then casts it back to an integer. Verify that this calculation provides the expected results in all cases, particularly under edge conditions where n1 and n2 are very large or very small.

Comment on lines +28 to +30
if !sname && !cname {
panic(bad_name)
}
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Ensure proper error management by defining what bad_name is.

It appears that bad_name is used as an error message or identifier, but its definition is not visible in the provided code. Ensure that bad_name is properly defined and handled, possibly as a constant or a localized string that can be logged or displayed when an error occurs.

Comment on lines +93 to +107
// Assuming n4 and n2 are defined elsewhere in your code
match c3 {
'TRF' {
// Replace `n4` and `n2` with actual variables
if sname {
// if n4 <= 64 {
// return 1
// }
return 32
}
// if n4 <= 64 {
// return 1
// }
return 32
}
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Address the commented-out code and clarify the logic regarding n4 and n2.

The commented-out code within the match statement is confusing and could lead to maintenance issues. It's important to either implement the logic that's currently commented out or remove the comments if they are no longer relevant. Additionally, the use of n4 and n2 should be clarified as their definitions and values are critical to the logic.

- name: Execute Tests using Pure V Backend
run: ~/.vmodules/vsl/bin/test ${{ matrix.flags }}
# - name: Execute Tests using Pure V Backend
# run: ~/.vmodules/vsl/bin/test ${{ matrix.flags }}
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I will revert this as soon as I finish testing

- name: Execute Tests using Pure V Backend
run: ~/.vmodules/vsl/bin/test
# - name: Execute Tests using Pure V Backend
# run: ~/.vmodules/vsl/bin/test
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I will revert this as soon as I finish testing

…l_lapack_lapacke.v

- Add functions uplo_from_bool and uplo_to_bool to conversions.v
- Remove unused dlamch_s function from dgetf2.v
- Update dsyev.v to include additional error handling and scaling of matrix
- Update dpotrf function in lapack_notd_vsl_lapack_lapacke.v to use uplo_from_bool for uplo parameter
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Actionable comments posted: 14

Review details

Configuration used: CodeRabbit UI
Review profile: CHILL

Commits

Files that changed from the base of the PR and between bfa6907 and 99a3a2b.

Files selected for processing (32)
  • .github/workflows/ci.yml (2 hunks)
  • bin/test (2 hunks)
  • blas/blas64/dgemm.v (5 hunks)
  • blas/conversions.v (1 hunks)
  • blas/oblas_d_vsl_blas_cblas.v (1 hunks)
  • blas/oblas_notd_vsl_blas_cblas.v (1 hunks)
  • la/blas.v (11 hunks)
  • la/densesol.v (2 hunks)
  • la/matrix_ops.v (5 hunks)
  • lapack/lapack64/dgesv.v (1 hunks)
  • lapack/lapack64/dgetf2.v (1 hunks)
  • lapack/lapack64/dgetrf.v (1 hunks)
  • lapack/lapack64/dgetri.v (1 hunks)
  • lapack/lapack64/dgetrs.v (1 hunks)
  • lapack/lapack64/dlae2.v (1 hunks)
  • lapack/lapack64/dlanst.v (1 hunks)
  • lapack/lapack64/dlansy.v (1 hunks)
  • lapack/lapack64/dlapy2.v (1 hunks)
  • lapack/lapack64/dlascl.v (1 hunks)
  • lapack/lapack64/dlasrt.v (1 hunks)
  • lapack/lapack64/dlassq.v (1 hunks)
  • lapack/lapack64/dlaswp.v (1 hunks)
  • lapack/lapack64/dorg2l.v (1 hunks)
  • lapack/lapack64/dorgql.v (1 hunks)
  • lapack/lapack64/dorgtr.v (1 hunks)
  • lapack/lapack64/dsterf.v (1 hunks)
  • lapack/lapack64/dsyev.v (1 hunks)
  • lapack/lapack64/dsytrd.v (1 hunks)
  • lapack/lapack64/iparmq.v (1 hunks)
  • lapack/lapack64/lapack64.v (1 hunks)
  • lapack/lapack_d_vsl_lapack_lapacke.v (7 hunks)
  • lapack/lapack_notd_vsl_lapack_lapacke.v (1 hunks)
Files not summarized due to errors (1)
  • blas/oblas_d_vsl_blas_cblas.v: Error: Message exceeds token limit
Files skipped from review due to trivial changes (1)
  • lapack/lapack64/lapack64.v
Files skipped from review as they are similar to previous changes (6)
  • la/matrix_ops.v
  • lapack/lapack64/dgesv.v
  • lapack/lapack64/dgetrf.v
  • lapack/lapack64/dgetri.v
  • lapack/lapack64/dgetrs.v
  • lapack/lapack_d_vsl_lapack_lapacke.v
Additional comments not posted (38)
lapack/lapack64/dlapy2.v (1)

5-10: Approved - Function dlapy2 implementation and documentation

The implementation of dlapy2 is concise and correct, effectively utilizing math.hypot for its intended purpose. The documentation is clear, indicating its use and the reason for its exposure for testing.

la/densesol.v (1)

Line range hint 3-19: Approved - den_solve function logic and documentation

The logic for solving dense linear systems using LAPACK is correctly implemented. The cloning of matrix data to preserve the original matrix when required is a good practice. Ensure that the LAPACK functions are correctly imported and used as per the module's standards.

Verification successful

Verified - Correct Import and Usage of LAPACK Functions

The import statement and usage of the LAPACK function dgesv in the den_solve function are correctly implemented.

  • import vsl.lapack is present in la/densesol.v
  • lapack.dgesv is correctly used within the function
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify the correct import and usage of LAPACK functions in `den_solve`.

# Test: Search for LAPACK import and usage in the file.
rg --type v 'import vsl.lapack' 'lapack.dgesv' la/densesol.v

Length of output: 86



Script:

#!/bin/bash
# Description: Verify the correct import and usage of LAPACK functions in `den_solve`.

# Test: Search for LAPACK import and usage in the file.
rg 'import vsl.lapack' la/densesol.v
rg 'lapack.dgesv' la/densesol.v

Length of output: 150

lapack/lapack64/dlaswp.v (1)

6-44: Approved - Function dlaswp implementation and documentation

The implementation of dlaswp is robust, correctly handling various edge cases with appropriate error messages. The usage of BLAS's dswap for row interchanges is correctly implemented. The documentation is clear, indicating its use and the reason for its exposure for testing.

lapack/lapack64/dlae2.v (1)

34-46: Review logic for computing eigenvalues based on the sign of sm.

The calculation of rt1 and rt2 is based on the sign of sm which is a sum of a and c. Ensure that this logic correctly handles all edge cases, especially when sm is zero.

lapack/lapack64/dgetf2.v (2)

8-25: Ensure robust error handling and informative error messages.

The function uses panics for error handling which is acceptable in system libraries but ensure that the error messages are informative and cover all cases properly.

Verification successful

Ensure robust error handling and informative error messages.

The error messages used in the dgetf2 function are defined in lapack/lapack64/errors.v and are reasonably informative. However, the message for bad_ld_a could be more descriptive to specify the exact issue with the leading dimension.

  • lapack/lapack64/errors.v:
    • m_lt0: 'lapack: m < 0'
    • n_lt0: 'lapack: n < 0'
    • bad_ld_a: 'lapack: bad leading dimension of A' (could be more descriptive)
    • short_a: 'lapack: insufficient length of a'
    • bad_len_ipiv: 'lapack: bad length of ipiv'

Recommendation: Consider enhancing the bad_ld_a error message to specify the expected condition, e.g., "lapack: leading dimension of A is less than max(1, n)".

Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify that all error messages in `dgetf2` function are informative and cover the necessary cases.

# Test: Check source code comments and documentation for error handling.
grep "panic" lapack/lapack64/dgetf2.v

Length of output: 163



Script:

#!/bin/bash
# Description: Verify the definitions and usage of error messages in `dgetf2` function.

# Find where the error constants are defined.
grep -E "m_lt0|n_lt0|bad_ld_a|short_a|bad_len_ipiv" -r .

# Check for comments related to these error constants to understand their context.
grep -E "m_lt0|n_lt0|bad_ld_a|short_a|bad_len_ipiv" -r . --context=2

Length of output: 24077


31-57: Validate the correct usage of BLAS functions and parameters.

The function calls several BLAS functions like idamax, dswap, and dscal. Ensure that these functions are used correctly and that all parameters passed to them are valid.

lapack/lapack64/dlanst.v (3)

9-23: Enhance input validation and error handling for norm type and matrix dimensions.

The function starts by checking the validity of the norm type and the dimensions of the matrix. These checks are crucial for preventing runtime errors and ensuring correct calculations.


25-67: Ensure that the return statements correctly reflect the computed norms and handle all edge cases.

The function returns the computed norms based on the selected type. It's important to ensure that these values are accurate and that all edge cases, such as matrices with zero dimensions, are handled correctly.


25-67: Optimize and verify the correctness of norm calculations.

The match statement handles different norm calculations. Each block should be reviewed for mathematical accuracy and optimized for performance where possible.

lapack/lapack64/dorg2l.v (2)

21-52: Strengthen input validation and error handling.

The function includes several checks for input validity, such as matrix dimensions and array lengths. These checks are essential for preventing incorrect operations and potential runtime errors.


62-75: Ensure the correct application of elementary reflectors and validate the use of BLAS functions.

The application of elementary reflectors is a crucial part of generating the orthonormal matrix. Verify that the reflectors are applied correctly and that all BLAS function calls are appropriate and correctly parameterized.

lapack/lapack64/iparmq.v (1)

5-83: Review of iparmq function:

  1. Function Complexity: The function has nested conditions and match statements which are somewhat complex. Consider adding comments to explain the logic behind each major block, especially within the match statements.
  2. Error Handling: The use of panic for error handling is appropriate given the context (internal utility function), but ensure that these cases are well-documented to avoid misuse.
  3. Potential Optimization: The repeated calculation of nh in multiple conditions (lines 8-20) could be optimized by calculating its value once and storing it, rather than recalculating it multiple times.

Overall, the function is logically sound, but improvements in documentation and slight refactoring could enhance readability and maintainability.

bin/test (1)

Line range hint 13-37: Review of Test Script Modifications:

  1. New Testing Flag: The addition of the --use-lapacke flag (line 35) is a positive change, aligning with the updated testing requirements for LAPACKE integration.
  2. Flag Handling: Ensure that the flags are adequately documented in the script's header or help output to inform users about the new testing capabilities.
  3. Script Robustness: The script robustly handles different configurations and cleanly exits on errors, which is good practice.

No issues found with the changes. The modifications support the new testing requirements effectively.
[APROVED]

lapack/lapack64/dlascl.v (1)

5-108: Review of dlascl function:

  1. Error Handling: The function includes comprehensive checks for input values (lines 19-33), which is crucial for a function that performs low-level matrix operations. This robust error handling is appropriate for the function's purpose.
  2. Matrix Scaling Logic: The logic for scaling different types of matrices (lines 39-102) is well-structured and clearly handles different matrix types. Consider adding more comments to explain the scaling process for each matrix type.
  3. Optimization Opportunity: The loop from lines 52-107 performs scaling in multiple steps. Investigate if there's a way to optimize this loop, potentially reducing the number of iterations needed to achieve the desired scaling.

Overall, the function is well-implemented with thorough error handling and clear logic. Minor improvements could be made in documentation and optimization.

lapack/lapack64/dsyev.v (1)

6-102: Review of dsyev function:

  1. Error Handling and Input Validation: The function includes multiple checks for input validity (lines 7-24), ensuring that the matrix dimensions and work array sizes are appropriate before proceeding with computations. This is crucial for avoiding runtime errors in numerical computations.
  2. Quick Return Optimization: The quick return conditions (lines 27-28, 52) are well-placed to avoid unnecessary computations for edge cases.
  3. Numerical Stability and Scaling: The scaling logic (lines 62-76) to handle matrices with values outside the normal floating-point range is a good practice for improving numerical stability in eigenvalue computations.
  4. Complexity and Maintainability: Given the complexity of the function, consider adding more detailed comments explaining each step of the eigenvalue computation process, especially the use of different LAPACK routines.

Overall, the function is robust and well-implemented with appropriate checks and optimizations. Enhancements in documentation could further improve maintainability.

.github/workflows/ci.yml (2)

68-68: Skip modification as per developer's comment.

The developer has explicitly stated that this change is temporary for testing purposes and will be reverted. Therefore, no action is needed at this time.

Also applies to: 114-114


71-71: Ensure compatibility with flags.

The addition of --use-cblas and --use-lapacke flags in the test commands is consistent with the refactoring goals stated in the PR. However, verify that all necessary configurations and dependencies for these flags are correctly set up in the CI environment.

Also applies to: 117-117

Verification successful

Dependencies for --use-cblas and --use-lapacke are correctly set up.

The CI configuration includes liblapacke-dev and libopenblas-dev, ensuring compatibility with the added flags.

  • .github/workflows/ci.yml:
    • Lines containing liblapacke-dev and libopenblas-dev.
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Check if necessary configurations and dependencies for CBLAS and LAPACKE are set up.
cat .github/workflows/ci.yml | grep -E 'liblapacke-dev|libopenblas-dev'

Length of output: 132

blas/oblas_notd_vsl_blas_cblas.v (1)

1-82: Refactor and inline function implementations reviewed.

All functions are correctly defined as inline, which is suitable for these types of small wrapper functions that primarily delegate to another function. The module and import changes from vlas to blas are correctly applied. Ensure that all calls to these functions across the project are updated to reflect these changes.

lapack/lapack64/dlansy.v (1)

1-122: Review of dlansy function.

The function dlansy is well-structured with clear error handling and quick return paths. The use of a match expression to handle different norms is appropriate and maintains readability. Ensure that the constants bad_norm, bad_uplo, short_a, and short_work are defined elsewhere in the module as they are used for panic messages. Also, verify that all possible norm values are accounted for in the match expression to avoid potential runtime errors.

Verification successful

All constants used in dlansy are defined elsewhere in the codebase.

The constants bad_norm, bad_uplo, short_a, and short_work are defined in lapack/lapack64/errors.v, confirming their presence and proper usage.

  • bad_norm: lapack/lapack64/errors.v
  • bad_uplo: lapack/lapack64/errors.v
  • short_a: lapack/lapack64/errors.v
  • short_work: lapack/lapack64/errors.v
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Check for the definition of constants used in dlansy.
rg --type v 'bad_norm|bad_uplo|short_a|short_work' --files-with-matches

Length of output: 99



Script:

#!/bin/bash
# Description: Check for the definition of constants used in dlansy.
rg --type vlang 'bad_norm|bad_uplo|short_a|short_work' --files-with-matches

Length of output: 107



Script:

#!/bin/bash
# Description: Check for the definition of constants used in dlansy without specifying a file type.
rg 'bad_norm|bad_uplo|short_a|short_work'

Length of output: 2527

lapack/lapack64/dlassq.v (1)

1-120: Review of dlassq function.

The dlassq function is implemented with detailed and careful handling of scaling to prevent overflow and underflow, which is crucial for numerical stability. Ensure that constants like dtbig, dsbig, dtsml, and dssml are defined and appropriately set to handle edge cases in scaling. The logic to combine results from different accumulators is complex but appears correct. Consider adding more comments or documentation to explain the rationale behind these calculations for future maintainers.

Verification successful

Verified the definitions of scaling constants.

The constants dtbig, dsbig, dtsml, and dssml are defined in lapack/lapack64/lapack64.v and have appropriate values for handling scaling in the dlassq function. This ensures that the function can handle edge cases of overflow and underflow correctly.

  • dtsml = 1.4916681462400413e-154
  • dtbig = 1.997919072202235e+146
  • dssml = 4.4989137945431964e+161
  • dsbig = 1.1113793747425387e-162
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify the definition and values of scaling constants.
rg --type v 'dtbig|dsbig|dtsml|dssml' --files-with-matches

Length of output: 86



Script:

#!/bin/bash
# Description: Verify the definition and values of scaling constants.
rg 'dtbig|dsbig|dtsml|dssml'

Length of output: 2365

lapack/lapack64/dorgtr.v (3)

60-65: Ensure adequate buffer size for operations.

The check for array length a.len < (n - 1) * lda + n could potentially lead to out-of-bounds access if not properly handled. It's good to see proactive error handling to prevent such issues.


67-83: Optimize matrix transformations based on 'uplo' value.

The transformations based on the uplo value are correctly implemented to adjust matrix elements for upper and lower triangular matrices. This conditional handling is crucial for the correctness of the orthogonal matrix generation.

Also applies to: 101-104


84-106: Review and optimize the loop operations for performance.

The nested loops for shifting vectors and setting matrix values could potentially be optimized or parallelized to improve performance, especially for large matrices.
[PERFORMANCE]

lapack/lapack64/dorgql.v (2)

69-74: Ensure adequate buffer size for operations.

Proactive error handling for buffer size checks is observed here as well, which is crucial to prevent out-of-bounds access.


76-94: Optimize matrix transformations and loop operations.

The handling of matrix transformations and the use of blocked vs. unblocked code based on the workspace size (lwork) are well implemented. Consider parallelizing the loops to enhance performance for large matrices.
[PERFORMANCE]

Also applies to: 110-138

lapack/lapack_notd_vsl_lapack_lapacke.v (2)

30-32: Ensure proper function delegation.

The function dgesv correctly delegates the operation to lapack64.dgesv, ensuring that the higher-level function is a simple wrapper, which is good for modularity.


54-60: Enhance error messages for better debugging.

Improving the error message in dgesvd as previously suggested will help in debugging and maintaining the code.

- errors.vsl_panic('lapack failed', .efailed)
+ errors.vsl_panic('LAPACK dgesvd failed with error code: $info', .efailed)

Likely invalid or redundant comment.

lapack/lapack64/dsytrd.v (2)

93-104: Ensure adequate buffer size for operations.

Proactive error handling for buffer size checks is observed here as well, which is crucial to prevent out-of-bounds access.


137-183: Optimize matrix transformations and loop operations.

The handling of matrix transformations and the use of blocked vs. unblocked code based on the workspace size (lwork) are well implemented. Consider parallelizing the loops to enhance performance for large matrices.
[PERFORMANCE]

lapack/lapack64/dsterf.v (1)

17-280: Review of the dsterf Function

  1. Correctness and Logic: The function implements the QL and QR algorithms for computing eigenvalues of a tridiagonal matrix. The logic appears to follow the standard algorithmic steps for these methods, including scaling, iteration control, and convergence checks.

  2. Error Handling: The function uses panic for error handling, which is aggressive but appropriate for conditions that should never occur if the API is used correctly (e.g., negative dimensions or short arrays).

  3. Performance: The function contains several loops and condition checks that are necessary for the algorithm. The use of unsafe for array slicing could be risky but is likely used here for performance reasons to avoid bounds checking overhead in tight loops.

  4. Maintainability: The function is quite long and complex, which could affect maintainability. Consider refactoring into smaller helper functions to handle specific parts of the algorithm, such as scaling or the QR/QL iterations.

  5. Documentation: The function is well-documented with comments explaining the purpose and the process, which is good for maintainability and understanding the code.

Overall, the implementation seems solid, but refactoring for better readability and maintainability could be beneficial.

blas/blas64/dgemm.v (1)

Line range hint 1-252: Review of the dgemm and dgemm_parallel Functions

  1. Correctness and Logic: Both functions implement matrix multiplication with options for transposing matrices. The logic includes handling different transposition cases and a parallel computation approach in dgemm_parallel.

  2. Error Handling: The function checks for invalid matrix dimensions and strides, which is crucial to prevent out-of-bounds errors.

  3. Performance: The use of parallel computation in dgemm_parallel is a significant performance optimization for large matrices. However, ensure that the parallelization overhead does not negate the benefits for smaller matrices.

  4. Maintainability: The code is complex due to the many conditions and loops. Consider adding more comments to explain the logic in dgemm_parallel, especially how submatrices are handled.

  5. Security: The use of unsafe in array slicing is a potential risk. Ensure that all indices and lengths are verified before accessing arrays to prevent out-of-bounds errors.

Refactoring for clarity and additional comments would improve maintainability and understandability.

la/blas.v (1)

Line range hint 3-316: Review of Vector and Matrix Functions in la/blas.v

  1. Correctness and Logic: The functions correctly implement various linear algebra operations such as dot product, vector addition, and matrix multiplication using the BLAS library. The logic is consistent with standard linear algebra operations.

  2. Error Handling: There is no explicit error handling. Consider adding checks for dimensions and null pointers where applicable.

  3. Performance: The use of BLAS functions (ddot, daxpy, dgemv, dgemm) is appropriate and should ensure high performance for these operations.

  4. Maintainability: The functions are generally well-structured and modular. However, some functions are quite long and could benefit from being broken into smaller sub-functions.

  5. Documentation: More detailed comments on the expected shapes and sizes of the input matrices and vectors would be helpful for users of these functions.

Overall, the implementations are efficient and correct, but some additional error handling and documentation could improve robustness and usability.
[APROVED]

blas/conversions.v (3)

1-1: Module declaration updated to reflect new naming convention.

The module has been correctly renamed from vlas to blas to align with the refactor's objectives.


7-7: Correct import statement for blas64.

The import path has been updated to vsl.blas.blas64, which is consistent with the new structure of the linear algebra modules.


10-10: Type aliases have been updated to use new blas64 types.

These changes correctly reflect the new types defined in the blas64 module, ensuring consistency across the BLAS implementation.

Also applies to: 13-13, 16-16, 19-19, 22-22

blas/oblas_d_vsl_blas_cblas.v (3)

195-197: Consistent use of unsafe pointer access.

The functions sdsdot, dsdot, sdot, and ddot consistently use unsafe pointer access to the first element of arrays. This approach is efficient but requires careful handling to ensure safety. Consider adding explicit comments or documentation about the necessity of ensuring the input arrays are non-empty and large enough to prevent out-of-bounds access.

Also applies to: 200-202, 205-207, 210-212


189-192: Ensure thread safety when setting the number of threads.

The function set_num_threads directly interfaces with the OpenBLAS library to set the number of threads. It's crucial to ensure that this setting does not introduce any race conditions or affect the state negatively when used in a multi-threaded environment.


1037-1040: Optimize matrix-matrix multiplication for high performance.

The dgemm function is critical for performance in many numerical computations. It directly interfaces with the CBLAS library function. Ensure that the leading dimensions (lda, ldb, ldc) and other parameters are correctly set and validated to maximize performance and prevent memory access errors.

Verification successful

Ensure optimal settings for matrix-matrix multiplication.

The dgemm function is used extensively in the codebase, indicating its critical role in numerical computations. The search results provide several instances of dgemm usage, including detailed implementations and optimizations. There are no apparent issues with the current settings for leading dimensions (lda, ldb, ldc) and other parameters.

  • The function correctly interfaces with the CBLAS library.
  • Leading dimensions and other parameters seem to be validated and used appropriately.
  • Parallel and serial implementations are provided, ensuring flexibility and performance optimization.

Recommendations:

  • Review and ensure that leading dimensions (lda, ldb, ldc) are always set correctly to avoid memory access errors.
  • Consider adding more inline comments or documentation for complex sections to aid future maintenance and optimization efforts.
Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Check for optimal settings and common pitfalls in matrix-matrix multiplication.

# Test: Search for discussions or optimizations in the usage of `dgemm`.
rg --type v "dgemm" --context 15

Length of output: 58



Script:

#!/bin/bash
# Description: Check for optimal settings and common pitfalls in matrix-matrix multiplication.

# Test: Search for discussions or optimizations in the usage of `dgemm`.
rg --type vlang "dgemm" --context 15

Length of output: 66



Script:

#!/bin/bash
# Description: Check for optimal settings and common pitfalls in matrix-matrix multiplication.

# Find all `.v` files and search for `dgemm` usage within them.
fd -e v -x rg "dgemm" --context 15 {}

Length of output: 16954

Comment on lines +21 to +22
// Side is used to specify whether a matrix is on the left or right side in a matrix-matrix multiplication.
pub type Side = blas64.Side
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Consider adding examples for Side.

To enhance understanding, consider adding examples or more detailed explanations on how the Side type is used in operations.

Would you like me to add examples or detailed usage documentation for this type?


Clarify documentation for Side type.

The comment for Side should be more detailed to explain its use in matrix-matrix multiplication contexts.

- // Side is used to specify whether a matrix is on the left or right side in a matrix-matrix multiplication.
+ // Side specifies the side of the operand matrix in a matrix-matrix multiplication, determining if the matrix is multiplied from the left or the right.
Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
// Side is used to specify whether a matrix is on the left or right side in a matrix-matrix multiplication.
pub type Side = blas64.Side
// Side specifies the side of the operand matrix in a matrix-matrix multiplication, determining if the matrix is multiplied from the left or the right.
pub type Side = blas64.Side

Tip

Codebase Verification

Ensure All Utility Functions Have Unit Tests

The review comment suggests verifying that all utility functions in blas/conversions.v are covered by unit tests. The executed script did not find any test functions in blas/conversions.v.

  • Please add unit tests for the utility functions in blas/conversions.v to ensure their correctness, especially for edge cases like zero-sized matrices.
Analysis chain

Review of utility functions for matrix operations.

The utility functions for converting and printing matrices are well-implemented. However, ensure that all functions are covered by unit tests to verify their correctness, especially with edge cases like zero-sized matrices.

Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify unit tests cover all utility functions in `blas/conversions.v`.

# Test: Search for unit tests related to utility functions.
rg --type v $'fn test_'

Length of output: 50



Script:

#!/bin/bash
# Description: Verify unit tests cover all utility functions in `blas/conversions.v`.

# Step 1: Find all `.v` files in the repository.
fd -e v -t f > v_files.txt

# Step 2: Search for test functions in the found `.v` files.
while read -r file; do
  rg 'fn test_' "$file"
done < v_files.txt

Length of output: 20332

Comment on lines +25 to +26
d.sort(b < a)
}
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Fix sorting logic in decreasing order

The lambda function for sorting in decreasing order seems incorrect. It should compare two elements and return a boolean. Consider using the correct syntax for the comparison function.

- d.sort(b < a)
+ d.sort((a, b) => b < a)

Committable suggestion was skipped due to low confidence.

Comment on lines +474 to +477
@[inline]
pub fn sgemv(trans Transpose, m int, n int, alpha f32, a []f32, lda int, x []f32, incx int, beta f32, mut y []f32, incy int) {
C.cblas_sgemv(.row_major, trans, m, n, alpha, unsafe { &a[0] }, lda, unsafe { &x[0] },
incx, beta, unsafe { &y[0] }, incy)
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Tip

Codebase Verification

Review matrix-vector operations for performance and safety.

The functions sgemv, dgemv, cgemv, and zgemv perform matrix-vector multiplications. These functions translate directly to their respective CBLAS calls. Ensure that the parameters such as order, trans, m, n, lda, incx, and incy are correctly validated before use to prevent any misuse or errors in matrix operations.

  • The dgemv function in blas64/dgemv.v includes validation checks for parameters m, n, lda, and incx.
  • Other functions (sgemv, cgemv, zgemv) in blas/oblas_d_vsl_blas_cblas.v do not show explicit validation for their parameters.

Please review and add necessary validation for the parameters in sgemv, cgemv, and zgemv to ensure robust and safe operations.

Analysis chain

Review matrix-vector operations for performance and safety.

The functions sgemv, dgemv, cgemv, and zgemv perform matrix-vector multiplications. These functions translate directly to their respective CBLAS calls. Ensure that the parameters such as order, trans, m, n, lda, incx, and incy are correctly validated before use to prevent any misuse or errors in matrix operations.

Also applies to: 481-483, 487-489, 492-494

Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify parameter validation in matrix-vector operations.

# Test: Search for validation logic around the parameters of matrix-vector operations.
rg --type v "sgemv|dgemv|cgemv|zgemv" --context 10

Length of output: 78



Script:

#!/bin/bash
# Description: Verify parameter validation in matrix-vector operations.

# Test: Search for validation logic around the parameters of matrix-vector operations.
rg "fn sgemv|fn dgemv|fn cgemv|fn zgemv" --context 10

Length of output: 6118

Comment on lines +195 to +197
pub fn sdsdot(n int, alpha f32, x []f32, incx int, y []f32, incy int) f32 {
return C.cblas_sdsdot(n, alpha, unsafe { &x[0] }, incx, unsafe { &y[0] }, incy)
}
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Tip

Codebase Verification

Optimize memory access for dot product functions.

The functions sdsdot, dsdot, sdot, and ddot use unsafe pointers to access array elements. Ensure that there is a boundary check or a clear precondition that the input arrays have at least n elements before these functions are called to prevent potential segmentation faults.

  • File: blas/oblas_d_vsl_blas_cblas.v
    • Lines: 195-197, 200-202, 205-207, 210-212

No boundary checks or preconditions were found in the provided context. Please add necessary checks to ensure safe memory access.

Analysis chain

Optimize memory access for dot product functions.

The functions sdsdot, dsdot, sdot, and ddot use unsafe pointers to access array elements, which is efficient but potentially unsafe if not handled correctly. Ensure that there is a boundary check or a clear precondition that the input arrays have at least n elements before these functions are called to prevent potential segmentation faults.

Also applies to: 200-202, 205-207, 210-212

Scripts executed

The following scripts were executed for the analysis:


Script:

#!/bin/bash
# Description: Verify that all calls to dot product functions ensure the arrays have at least `n` elements.

# Test: Search for function calls and check for boundary conditions.
rg --type v "sdsdot|dsdot|sdot|ddot" --context 5

Length of output: 76



Script:

#!/bin/bash
# Description: Verify that all calls to dot product functions ensure the arrays have at least `n` elements.

# Test: Search for function calls and check for boundary conditions.
rg --type-add 'v:*.v' "sdsdot|dsdot|sdot|ddot" --context 5

Length of output: 6594

Comment on lines +14 to +25
pub fn dlae2(a f64, b f64, c f64) (f64, f64) {
sm := a + c
df := a - c
adf := math.abs(df)
tb := b + b
ab := math.abs(tb)
mut acmx := c
mut acmn := a
if math.abs(a) > math.abs(c) {
acmx = a
acmn = c
}
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Consider optimizing variable assignments.

The variables acmx and acmn are initialized to c and a respectively and might be reassigned based on a condition. This can be optimized by using a ternary operation or a more direct assignment approach to reduce redundancy.

- mut acmx := c
- mut acmn := a
- if math.abs(a) > math.abs(c) {
-   acmx = a
-   acmn = c
- }
+ mut acmx := if math.abs(a) > math.abs(c) { a } else { c }
+ mut acmn := if math.abs(a) > math.abs(c) { c } else { a }
Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn dlae2(a f64, b f64, c f64) (f64, f64) {
sm := a + c
df := a - c
adf := math.abs(df)
tb := b + b
ab := math.abs(tb)
mut acmx := c
mut acmn := a
if math.abs(a) > math.abs(c) {
acmx = a
acmn = c
}
pub fn dlae2(a f64, b f64, c f64) (f64, f64) {
sm := a + c
df := a - c
adf := math.abs(df)
tb := b + b
ab := math.abs(tb)
mut acmx := if math.abs(a) > math.abs(c) { a } else { c }
mut acmn := if math.abs(a) > math.abs(c) { c } else { a }

Comment on lines +31 to +55
pub fn dorgql(m int, n int, k int, mut a []f64, lda int, tau []f64, mut work []f64, lwork int) {
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if n > m {
panic(n_gtm)
}
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}
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Refactor error messages for clarity and consistency.

Similar to dorgtr, the error handling uses generic panic messages. More descriptive messages would enhance maintainability and debugging.

- panic(m_lt0)
+ panic("Parameter 'm' must be non-negative.")
- panic(n_lt0)
+ panic("Parameter 'n' must be non-negative.")
- panic(k_lt0)
+ panic("Parameter 'k' must be non-negative.")

Committable suggestion was skipped due to low confidence.

Comment on lines 145 to 168
mut vvl := 0.0
mut vvr := 0.0
mut ldvl := ldvl_
mut ldvr := ldvr_
if calc_vl == .left_ev_compute {
vvl = vl[0]
} else {
ldvl = 1
}
if calc_vr == .left_ev_compute {
vvr = vr[0]
} else {
ldvr = 1
}

vl[0] = vvl
vr[0] = vvr

info := lapack64.dgeev(calc_vl, calc_vr, n, mut a, lda, wr, wi, mut vl, ldvl, mut
vr, ldvr)
if info != 0 {
errors.vsl_panic('lapack failed', .efailed)
}
}
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Clarify vector length handling in dgeev.

The handling of vector lengths in dgeev can be simplified to avoid manual index manipulation, reducing the potential for errors.

- ldvl = if calc_vl == .left_ev_compute { vl.len } else { 1 }
- ldvr = if calc_vr == .left_ev_compute { vr.len } else { 1 }
+ ldvl = if calc_vl == .left_ev_compute { vl[0] } else { 1 }
+ ldvr = if calc_vr == .left_ev_compute { vr[0] } else { 1 }

Committable suggestion was skipped due to low confidence.

Comment on lines +63 to +78
pub fn dsytrd(uplo blas.Uplo, n int, mut a []f64, lda int, mut d []f64, mut e []f64, mut tau []f64, mut work []f64, lwork int) {
if uplo != .upper && uplo != .lower {
panic(bad_uplo)
}
if n < 0 {
panic(n_lt0)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if lwork < 1 && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}
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Refactor error messages for clarity and consistency.

The error handling uses generic panic messages. More descriptive messages would enhance maintainability and debugging.

- panic(bad_uplo)
+ panic("Invalid 'uplo' value. Expected .upper or .lower.")
- panic(n_lt0)
+ panic("Parameter 'n' must be non-negative.")
- panic(bad_ld_a)
+ panic("Invalid leading dimension 'lda'.")

Committable suggestion was skipped due to low confidence.

Comment on lines +29 to +58
for j := 0; j < mn; j++ {
// Find a pivot and test for singularity.
jp := j + blas.idamax(m - j, a[j * lda + j..], lda)
ipiv[j] = jp
if a[jp * lda + j] == 0.0 {
panic('lapack: matrix is singular')
} else {
// Swap the rows if necessary.
if jp != j {
mut slice1 := unsafe { a[j * lda..] }
mut slice2 := unsafe { a[jp * lda..] }
blas.dswap(n, mut slice1, 1, mut slice2, 1)
}
if j < m - 1 {
aj := a[j * lda + j]
if math.abs(aj) >= sfmin {
mut slice3 := unsafe { a[(j + 1) * lda + j..] }
blas.dscal(m - j - 1, 1.0 / aj, mut slice3, lda)
} else {
for i := 0; i < m - j - 1; i++ {
a[(j + 1) * lda + j] /= aj
}
}
}
}
if j < mn - 1 {
mut slice4 := unsafe { a[(j + 1) * lda + j + 1..] }
blas.dger(m - j - 1, n - j - 1, -1.0, a[(j + 1) * lda + j..], lda, a[j * lda + j + 1..],
1, mut slice4, lda)
}
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Optimize matrix operations and ensure safety of array accesses.

The function performs several critical matrix operations within loops. Ensure that these operations are optimized and that all array accesses are safe and within bounds.

- for j := 0; j < mn; j++ {
-   ...
-   if a[jp * lda + j] == 0.0 {
-     panic('lapack: matrix is singular')
-   }
-   ...
- }
+ for j := 0; j < mn; j++ {
+   ...
+   if a[jp * lda + j] == 0.0 {
+     panic('lapack: matrix is singular at position ${jp}, ${j}')
+   }
+   ...
+ }

This change adds more specific error information in the panic message.

Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
for j := 0; j < mn; j++ {
// Find a pivot and test for singularity.
jp := j + blas.idamax(m - j, a[j * lda + j..], lda)
ipiv[j] = jp
if a[jp * lda + j] == 0.0 {
panic('lapack: matrix is singular')
} else {
// Swap the rows if necessary.
if jp != j {
mut slice1 := unsafe { a[j * lda..] }
mut slice2 := unsafe { a[jp * lda..] }
blas.dswap(n, mut slice1, 1, mut slice2, 1)
}
if j < m - 1 {
aj := a[j * lda + j]
if math.abs(aj) >= sfmin {
mut slice3 := unsafe { a[(j + 1) * lda + j..] }
blas.dscal(m - j - 1, 1.0 / aj, mut slice3, lda)
} else {
for i := 0; i < m - j - 1; i++ {
a[(j + 1) * lda + j] /= aj
}
}
}
}
if j < mn - 1 {
mut slice4 := unsafe { a[(j + 1) * lda + j + 1..] }
blas.dger(m - j - 1, n - j - 1, -1.0, a[(j + 1) * lda + j..], lda, a[j * lda + j + 1..],
1, mut slice4, lda)
}
for j := 0; j < mn; j++ {
// Find a pivot and test for singularity.
jp := j + blas.idamax(m - j, a[j * lda + j..], lda)
ipiv[j] = jp
if a[jp * lda + j] == 0.0 {
panic('lapack: matrix is singular at position ${jp}, ${j}')
} else {
// Swap the rows if necessary.
if jp != j {
mut slice1 := unsafe { a[j * lda..] }
mut slice2 := unsafe { a[jp * lda..] }
blas.dswap(n, mut slice1, 1, mut slice2, 1)
}
if j < m - 1 {
aj := a[j * lda + j]
if math.abs(aj) >= sfmin {
mut slice3 := unsafe { a[(j + 1) * lda + j..] }
blas.dscal(m - j - 1, 1.0 / aj, mut slice3, lda)
} else {
for i := 0; i < m - j - 1; i++ {
a[(j + 1) * lda + j] /= aj
}
}
}
}
if j < mn - 1 {
mut slice4 := unsafe { a[(j + 1) * lda + j + 1..] }
blas.dger(m - j - 1, n - j - 1, -1.0, a[(j + 1) * lda + j..], lda, a[j * lda + j + 1..],
1, mut slice4, lda)
}

Comment on lines 54 to 75
// Initialize columns 0:n-k to columns of the unit matrix.
for j := 0; j < n - k; j++ {
for l := 0; l < m; l++ {
a[l * lda + j] = 0
}
a[(m - n + j) * lda + j] = 1
}

for i := 0; i < k; i++ {
ii := n - k + i

// Apply H_i to A[0:m-k+i, 0:n-k+i] from the left.
a[(m - n + ii) * lda + ii] = 1
dlarf(.left, m - n + ii + 1, ii, mut a[ii..], lda, tau[i], mut a, lda, mut work)
blas.dscal(m - n + ii, -tau[i], mut a[ii..], lda)
a[(m - n + ii) * lda + ii] = 1 - tau[i]

// Set A[m-k+i:m, n-k+i+1] to zero.
for l := m - n + ii + 1; l < m; l++ {
a[l * lda + ii] = 0
}
}
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Optimize matrix initialization and ensure correct setup for further computations.

The initialization of the matrix columns to unit vectors is critical for the correct functioning of the algorithm. Ensure that this initialization is done efficiently and correctly.

- for j := 0; j < n - k; j++ {
-   for l := 0; l < m; l++ {
-     a[l * lda + j] = 0
-   }
-   a[(m - n + j) * lda + j] = 1
- }
+ for j := 0; j < n - k; j++ {
+   memset(mut a[j * lda..(j + 1) * lda], 0, m * sizeof(f64))
+   a[(m - n + j) * lda + j] = 1
+ }

This change uses memset to zero out the matrix slice more efficiently.

Committable suggestion was skipped due to low confidence.

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Actionable comments posted: 17

Review details

Configuration used: CodeRabbit UI
Review profile: CHILL

Commits

Files that changed from the base of the PR and between 99a3a2b and 63adcf6.

Files selected for processing (28)
  • .github/workflows/ci.yml (2 hunks)
  • blas/blas64/conversions.v (1 hunks)
  • lapack/conversions.v (1 hunks)
  • lapack/lapack64/conversions.v (1 hunks)
  • lapack/lapack64/dgeev.v (1 hunks)
  • lapack/lapack64/dgesvd.v (1 hunks)
  • lapack/lapack64/dlaev2.v (1 hunks)
  • lapack/lapack64/dlarf.v (1 hunks)
  • lapack/lapack64/dlarfb.v (1 hunks)
  • lapack/lapack64/dlarfg.v (1 hunks)
  • lapack/lapack64/dlarft.v (1 hunks)
  • lapack/lapack64/dlartg.v (1 hunks)
  • lapack/lapack64/dlaset.v (1 hunks)
  • lapack/lapack64/dlasr.v (1 hunks)
  • lapack/lapack64/dlatrd.v (1 hunks)
  • lapack/lapack64/dorg2l.v (1 hunks)
  • lapack/lapack64/dorg2r.v (1 hunks)
  • lapack/lapack64/dorgql.v (1 hunks)
  • lapack/lapack64/dorgqr.v (1 hunks)
  • lapack/lapack64/dsteqr.v (1 hunks)
  • lapack/lapack64/dsyev.v (1 hunks)
  • lapack/lapack64/dsytd2.v (1 hunks)
  • lapack/lapack64/errors.v (1 hunks)
  • lapack/lapack64/iladlc.v (1 hunks)
  • lapack/lapack64/iladlr.v (1 hunks)
  • lapack/lapack64/ilaenv.v (1 hunks)
  • lapack/lapack_d_vsl_lapack_lapacke.v (7 hunks)
  • lapack/lapack_notd_vsl_lapack_lapacke.v (1 hunks)
Files not reviewed due to errors (3)
  • lapack/lapack64/dlaset.v (no review received)
  • lapack/lapack64/dorg2r.v (no review received)
  • lapack/lapack64/dlartg.v (no review received)
Files skipped from review due to trivial changes (1)
  • blas/blas64/conversions.v
Files skipped from review as they are similar to previous changes (10)
  • .github/workflows/ci.yml
  • lapack/conversions.v
  • lapack/lapack64/conversions.v
  • lapack/lapack64/dgeev.v
  • lapack/lapack64/dgesvd.v
  • lapack/lapack64/dorg2l.v
  • lapack/lapack64/errors.v
  • lapack/lapack64/ilaenv.v
  • lapack/lapack_d_vsl_lapack_lapacke.v
  • lapack/lapack_notd_vsl_lapack_lapacke.v
Additional comments not posted (18)
lapack/lapack64/iladlr.v (5)

14-14: Check for valid lda condition.

The condition lda < math.max(1, n) is crucial for ensuring that the leading dimension is not less than the number of columns. This is a good practice for memory safety.


18-20: Early exit for zero dimensions.

Returning early when either dimension is zero is efficient and prevents unnecessary computation.


22-24: Validate array length.

The check for a.len < (m - 1) * lda + n is essential to ensure the array is large enough to prevent out-of-bounds access.


26-29: Optimization for common cases.

Checking the corners of the matrix first for non-zero values to potentially return early is an efficient optimization for matrices that are mostly zero.


30-37: Efficient scan for non-zero elements.

The nested loop efficiently scans the matrix from the last row to the first, which is suitable for finding the last non-zero row. This is a good implementation of the specified functionality.

lapack/lapack64/iladlc.v (5)

14-14: Check for valid lda condition.

The condition lda < math.max(1, n) is correctly enforced here as well, ensuring the leading dimension is appropriate.


18-20: Early exit for zero dimensions.

Efficiently handles cases where matrix dimensions are zero, avoiding unnecessary computations.


22-24: Validate array length.

Properly checks that the array length is sufficient to prevent out-of-bounds access, similar to iladlr.v.


26-29: Optimization for common cases.

Checking the corners of the matrix first for non-zero values to potentially return early is an efficient optimization.


31-41: Efficient column scan.

The function tracks the highest non-zero column seen, which is an efficient way to find the last non-zero column. This loop structure is well-suited for the task.

lapack/lapack64/dlarfg.v (4)

7-24: Validate input parameters and handle errors robustly.

The function correctly checks for invalid input parameters and uses panic to handle errors. This is a critical safety measure for functions that perform low-level operations.


14-16: Handle trivial cases early.

Returning early for n <= 1 is efficient and simplifies the logic for the main computation by removing edge cases.


18-20: Validate vector length.

Ensures that the vector x is long enough for the operations to be performed, preventing out-of-bounds memory access.


22-50: Complex computation of Householder parameters.

The function performs complex calculations to generate the Householder vector and coefficient. The use of scaling to avoid overflow and underflow is particularly noteworthy and indicates careful numerical analysis.

lapack/lapack64/dlarft.v (1)

1-1: Module declaration is correct and clear.
The module lapack64 is appropriately declared, aligning with the file's purpose within the LAPACK operations.

lapack/lapack64/dsytd2.v (1)

1-1: Module declaration is correct and clear.
The module lapack64 is appropriately declared, aligning with the file's purpose within the LAPACK operations.

lapack/lapack64/dlasr.v (1)

1-1: Module declaration is correct and clear.
The module lapack64 is appropriately declared, aligning with the file's purpose within the LAPACK operations.

lapack/lapack64/dsteqr.v (1)

30-57: Verify array length conditions to prevent potential runtime panics.

The function dsteqr uses several conditions to ensure the input arrays are of the correct length before proceeding with the computations. This is crucial to prevent out-of-bounds access. Ensure that these conditions are thoroughly tested to avoid runtime errors in edge cases.

Comment on lines +68 to +259
work, ldwork)
for i := 0; i < m; i++ {
for j := 0; j < k; j++ {
c[i * ldc + (n - k + j)] -= unsafe { work[i * ldwork + j] }
}
}
return
}
if direct == .forward {
if side == .left {
for j := 0; j < k; j++ {
blas.dcopy(n, c[j * ldc..], 1, mut work[j * ldwork..], 1)
}
blas.dtrmm(.right, .upper, .trans, .unit, n, k, 1.0, v, ldv, mut work, ldwork)
if m > k {
blas.dgemm(.trans, .trans, n, k, m - k, 1.0, c[k * ldc..], ldc, v[k..],
ldv, 1.0, mut work, ldwork)
}
blas.dtrmm(.right, .upper, transt, .non_unit, n, k, 1.0, t, ldt, mut work,
ldwork)
if m > k {
blas.dgemm(.trans, .trans, m - k, n, k, -1.0, v[k..], ldv, work, ldwork,
1.0, mut c[k * ldc..], ldc)
}
blas.dtrmm(.right, .upper, .no_trans, .unit, n, k, 1.0, v, ldv, mut work,
ldwork)
for i := 0; i < n; i++ {
for j := 0; j < k; j++ {
c[j * ldc + i] -= unsafe { work[i * ldwork + j] }
}
}
return
}
for j := 0; j < k; j++ {
blas.dcopy(m, c[j..], ldc, mut work[j * ldwork..], 1)
}
blas.dtrmm(.right, .upper, .trans, .unit, m, k, 1.0, v, ldv, mut work, ldwork)
if n > k {
blas.dgemm(.no_trans, .trans, m, k, n - k, 1.0, c[k..], ldc, v[k..], ldv,
1.0, mut work, ldwork)
}
blas.dtrmm(.right, .upper, trans, .non_unit, m, k, 1.0, t, ldt, mut work, ldwork)
if n > k {
blas.dgemm(.no_trans, .trans, m, n - k, k, -1.0, work, ldwork, v[k..], ldv,
1.0, mut c[k..], ldc)
}
blas.dtrmm(.right, .upper, .no_trans, .unit, m, k, 1.0, v, ldv, mut work, ldwork)
for i := 0; i < m; i++ {
for j := 0; j < k; j++ {
c[i * ldc + j] -= unsafe { work[i * ldwork + j] }
}
}
return
}
if side == .left {
for j := 0; j < k; j++ {
blas.dcopy(n, c[(m - k + j) * ldc..], 1, mut work[j * ldwork..], 1)
}
blas.dtrmm(.right, .lower, .no_trans, .unit, n, k, 1.0, v[(m - k)..], ldv, mut
work, ldwork)
if m > k {
blas.dgemm(.trans, .no_trans, n, k, m - k, 1.0, c, ldc, v, ldv, 1.0, mut work,
ldwork)
}
blas.dtrmm(.right, .lower, transt, .non_unit, n, k, 1.0, t, ldt, mut work, ldwork)
if m > k {
blas.dgemm(.no_trans, .trans, m - k, n, k, -1.0, v, ldv, work, ldwork, 1.0, mut
c, ldc)
}
blas.dtrmm(.right, .lower, .trans, .unit, n, k, 1.0, v[(m - k)..], ldv, mut work,
ldwork)
for i := 0; i < n; i++ {
for j := 0; j < k; j++ {
c[(m - k + j) * ldc + i] -= unsafe { work[i * ldwork + j] }
}
}
return
}
for j := 0; j < k; j++ {
blas.dcopy(m, c[(n - k + j)..], ldc, mut work[j * ldwork..], 1)
}
blas.dtrmm(.right, .lower, .no_trans, .unit, m, k, 1.0, v[(n - k)..], ldv, mut work,
ldwork)
if n > k {
blas.dgemm(.no_trans, .trans, m, k, n - k, 1.0, c, ldc, v, ldv, 1.0, mut work,
ldwork)
}
blas.dtrmm(.right, .lower, trans, .non_unit, m, k, 1.0, t, ldt, mut work, ldwork)
if n > k {
blas.dgemm(.no_trans, .no_trans, m, n - k, k, -1.0, work, ldwork, v, ldv, 1.0, mut
c, ldc)
}
blas.dtrmm(.right, .lower, .trans, .unit, m, k, 1.0, v[(n - k)..], ldv, mut work,
ldwork)
for i := 0; i < m; i++ {
for j := 0; j < k; j++ {
c[i * ldc + (n - k + j)] -= unsafe { work[i * ldwork + j] }
}
}
}
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Refactor large function for better maintainability.

The function dlarfb is quite large and handles multiple cases within nested conditional and loop structures. This makes it hard to read and maintain. Consider refactoring into smaller, more manageable functions or private methods that handle specific parts of the algorithm, such as handling different side and store conditions.

Comment on lines +6 to +66
pub fn dlarfb(side blas.Side, trans blas.Transpose, direct Direct, store StoreV, m int, n int, k int, v []f64, ldv int, t []f64, ldt int, mut c []f64, ldc int, mut work []f64, ldwork int) {
if side != .left && side != .right {
panic(bad_side)
}
if trans != .trans && trans != .no_trans {
panic(bad_trans)
}
if direct != .forward && direct != .backward {
panic(bad_direct)
}
if store != .column_wise && store != .row_wise {
panic(bad_store_v)
}
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if k < 0 {
panic(k_lt0)
}
if store == .column_wise && ldv < math.max(1, k) {
panic(bad_ld_v)
}
if store == .row_wise && ldv < math.max(1, m) {
panic(bad_ld_v)
}
if ldt < math.max(1, k) {
panic(bad_ld_t)
}
if ldc < math.max(1, n) {
panic(bad_ld_c)
}
if ldwork < math.max(1, k) {
panic(bad_ld_work)
}

if m == 0 || n == 0 {
return
}

mut nv := m
if side == .right {
nv = n
}
if store == .column_wise && v.len < (nv - 1) * ldv + k {
panic(short_v)
}
if store == .row_wise && v.len < (k - 1) * ldv + nv {
panic(short_v)
}
if t.len < (k - 1) * ldt + k {
panic(short_t)
}
if c.len < (m - 1) * ldc + n {
panic(short_c)
}
if work.len < (nv - 1) * ldwork + k {
panic(short_work)
}
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Ensure comprehensive error messages for better debugging support.

The function dlarfb uses panics for error handling, which is appropriate in this low-level numerical context. However, the error messages such as bad_side, bad_trans, etc., are quite generic. Consider providing more descriptive error messages that include the function name and the invalid value that caused the error, to aid in debugging.

- panic(bad_side)
+ panic("dlarfb: invalid 'side' value")

Committable suggestion was skipped due to low confidence.

Comment on lines +80 to +375
mut p := d[l]
if m == l {
// Eigenvalue found
l--
if l < lend {
break
}
continue
}

// If remaining matrix is 2×2, use dlae2 to compute its eigenvalues.
if m == l - 1 {
if icompz > 0 {
d[l - 1], d[l], work[m], work[n - 1 + m] = dlaev2(d[l - 1], e[l - 1],
d[l])
dlasr(.right, .variable, .forward, n, 2, work[m..], work[n - 1 + m..], mut
z[l - 1..], ldz)
} else {
d[l - 1], d[l] = dlae2(d[l - 1], e[l - 1], d[l])
}
e[l - 1] = 0
l -= 2
if l < lend {
break
}
continue
}
if jtot == nmaxit {
break
}
jtot++

// Form shift.
mut g := (d[l - 1] - p) / (2 * e[l - 1])
mut r := dlapy2(g, 1)
g = d[m] - p + (e[l - 1]) / (g + math.copysign(r, g))
mut s := 1.0
mut c := 1.0
p = 0.0

// Inner loop.
for i := m; i < l; i++ {
f := s * e[i]
b := c * e[i]
c, s, r = dlartg(g, f)
if i != m {
e[i - 1] = r
}
g = d[i] - p
r = (d[i + 1] - g) * s + 2 * c * b
p = s * r
d[i] = g + p
g = c * r - b

// If eigenvectors are desired, then save rotations.
if icompz > 0 {
work[i] = c
work[n - 1 + i] = s
}
}

// If eigenvectors are desired, then apply saved rotations.
if icompz > 0 {
mm := l - m + 1
dlasr(.right, .variable, .forward, n, mm, work[m..], work[n - 1 + m..], mut
z[m..], ldz)
}
d[l] -= p
e[l - 1] = g
}
}

// Undo scaling if necessary.
match iscale {
down {
// Pretend that d and e are matrices with 1 column.
dlascl(.general, 0, 0, ssfmax, anorm, lendsv - lsv + 1, 1, mut d[lsv..],
1)
dlascl(.general, 0, 0, ssfmax, anorm, lendsv - lsv, 1, mut e[lsv..], 1)
}
up {
dlascl(.general, 0, 0, ssfmin, anorm, lendsv - lsv + 1, 1, mut d[lsv..],
1)
dlascl(.general, 0, 0, ssfmin, anorm, lendsv - lsv, 1, mut e[lsv..], 1)
}
else {}
}

// Check for no convergence to an eigenvalue after a total of n*maxit iterations.
if jtot >= nmaxit {
break
}
}
for i := 0; i < n - 1; i++ {
if e[i] != 0 {
return false
}
}
return true
}
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Optimize and refactor iterative algorithm for clarity and efficiency.

The main eigenvalue computation loop in dsteqr is quite complex and could benefit from optimization and refactoring for clarity. Consider isolating the inner loops into separate functions and using more descriptive variable names. Additionally, explore algorithmic optimizations that could reduce the number of iterations needed.

Comment on lines +27 to +60
pub fn dlarft(direct Direct, store StoreV, n int, k int, v []f64, ldv int, tau []f64, mut t []f64, ldt int) {
mv, nv := if store == .row_wise { k, n } else { n, k }
if direct != .forward && direct != .backward {
panic(bad_direct)
}
if store != .row_wise && store != .column_wise {
panic(bad_store_v)
}
if n < 0 {
panic(n_lt0)
}
if k < 1 {
panic(k_lt1)
}
if ldv < math.max(1, nv) {
panic(bad_ld_v)
}
if tau.len < k {
panic(short_tau)
}
if ldt < math.max(1, k) {
panic(short_t)
}

if n == 0 {
return
}

if v.len < (mv - 1) * ldv + nv {
panic(short_v)
}
if t.len < (k - 1) * ldt + k {
panic(short_t)
}
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Consider refining error messages for clarity and debugging.

The error handling in the function dlarft uses panic statements with generic messages like bad_direct and bad_store_v. These messages could be more descriptive to aid in debugging.

- panic(bad_direct)
+ panic("Invalid 'direct' parameter: must be either .forward or .backward")

- panic(bad_store_v)
+ panic("Invalid 'store' parameter: must be either .row_wise or .column_wise")
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Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn dlarft(direct Direct, store StoreV, n int, k int, v []f64, ldv int, tau []f64, mut t []f64, ldt int) {
mv, nv := if store == .row_wise { k, n } else { n, k }
if direct != .forward && direct != .backward {
panic(bad_direct)
}
if store != .row_wise && store != .column_wise {
panic(bad_store_v)
}
if n < 0 {
panic(n_lt0)
}
if k < 1 {
panic(k_lt1)
}
if ldv < math.max(1, nv) {
panic(bad_ld_v)
}
if tau.len < k {
panic(short_tau)
}
if ldt < math.max(1, k) {
panic(short_t)
}
if n == 0 {
return
}
if v.len < (mv - 1) * ldv + nv {
panic(short_v)
}
if t.len < (k - 1) * ldt + k {
panic(short_t)
}
mv, nv := if store == .row_wise { k, n } else { n, k }
if direct != .forward && direct != .backward {
panic("Invalid 'direct' parameter: must be either .forward or .backward")
}
if store != .row_wise && store != .column_wise {
panic("Invalid 'store' parameter: must be either .row_wise or .column_wise")
}
if n < 0 {
panic(n_lt0)
}
if k < 1 {
panic(k_lt1)
}
if ldv < math.max(1, nv) {
panic(bad_ld_v)
}
if tau.len < k {
panic(short_tau)
}
if ldt < math.max(1, k) {
panic(short_t)
}
if n == 0 {
return
}
if v.len < (mv - 1) * ldv + nv {
panic(short_v)
}
if t.len < (k - 1) * ldt + k {
panic(short_t)
}

Comment on lines +84 to +99
blas.dgemv(.trans, j - i, i, -tau[i], v[(i + 1) * ldv..], ldv, v[(i + 1) * ldv + i..],
ldv, 1.0, mut t[i..], ldt)
} else {
for lastv = n - 1; lastv >= i + 1; lastv-- {
if v[i * ldv + lastv] != 0 {
break
}
}
for j := 0; j < i; j++ {
t[j * ldt + i] = -tau[i] * v[j * ldv + i]
}
j := math.min(lastv, prevlastv)
blas.dgemv(.no_trans, i, j - i, -tau[i], v[i + 1..], ldv, v[i * ldv + i + 1..],
1, 1.0, mut t[i..], ldt)
}
blas.dtrmv(.upper, .no_trans, .non_unit, i, t, ldt, mut t[i..], ldt)
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Optimize matrix operations to enhance performance.

The matrix operations within the if store == .column_wise block can be optimized by reducing redundant calculations and enhancing the use of BLAS functions.

- for lastv = n - 1; lastv >= i + 1; lastv-- {
-   if v[lastv * ldv + i] != 0 {
-     break
-   }
- }
+ lastv = n - 1
+ while lastv >= i + 1 && v[lastv * ldv + i] == 0 {
+   lastv--
+ }

This change reduces the complexity of finding the last non-zero element in the vector.

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Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
blas.dgemv(.trans, j - i, i, -tau[i], v[(i + 1) * ldv..], ldv, v[(i + 1) * ldv + i..],
ldv, 1.0, mut t[i..], ldt)
} else {
for lastv = n - 1; lastv >= i + 1; lastv-- {
if v[i * ldv + lastv] != 0 {
break
}
}
for j := 0; j < i; j++ {
t[j * ldt + i] = -tau[i] * v[j * ldv + i]
}
j := math.min(lastv, prevlastv)
blas.dgemv(.no_trans, i, j - i, -tau[i], v[i + 1..], ldv, v[i * ldv + i + 1..],
1, 1.0, mut t[i..], ldt)
}
blas.dtrmv(.upper, .no_trans, .non_unit, i, t, ldt, mut t[i..], ldt)
blas.dgemv(.trans, j - i, i, -tau[i], v[(i + 1) * ldv..], ldv, v[(i + 1) * ldv + i..],
ldv, 1.0, mut t[i..], ldt)
} else {
lastv = n - 1
while lastv >= i + 1 && v[lastv * ldv + i] == 0 {
lastv--
}
for j := 0; j < i; j++ {
t[j * ldt + i] = -tau[i] * v[j * ldv + i]
}
j := math.min(lastv, prevlastv)
blas.dgemv(.no_trans, i, j - i, -tau[i], v[i + 1..], ldv, v[i * ldv + i + 1..],
1, 1.0, mut t[i..], ldt)
}
blas.dtrmv(.upper, .no_trans, .non_unit, i, t, ldt, mut t[i..], ldt)

Comment on lines +6 to +104
pub fn dorgqr(m int, n int, k int, mut a []f64, lda int, tau []f64, mut work []f64, lwork int) {
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if n > m {
panic(n_gtm)
}
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) && lwork != -1 {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}

if n == 0 {
work[0] = 1.0
return
}

mut nb := ilaenv(1, 'DORGQR', ' ', m, n, k, -1)
if lwork == -1 {
work[0] = f64(n * nb)
return
}

if a.len < (m - 1) * lda + n {
panic(short_a)
}
if tau.len != k {
panic(bad_len_tau)
}

mut nbmin := 2
mut nx := 0
mut iws := n
mut ldwork := 0
if 1 < nb && nb < k {
nx = math.max(0, ilaenv(3, 'DORGQR', ' ', m, n, k, -1))
if nx < k {
ldwork = nb
iws = n * ldwork
if lwork < iws {
nb = lwork / n
ldwork = nb
nbmin = math.max(2, ilaenv(2, 'DORGQR', ' ', m, n, k, -1))
}
}
}
mut ki := 0
mut kk := 0
if nbmin <= nb && nb < k && nx < k {
ki = ((k - nx - 1) / nb) * nb
kk = math.min(k, ki + nb)
for i := 0; i < kk; i++ {
for j := kk; j < n; j++ {
unsafe {
a[i * lda + j] = 0.0
}
}
}
}
if kk < n {
dorg2r(m - kk, n - kk, k - kk, mut a[(kk * lda + kk)..], lda, tau[kk..], mut work)
}
if kk > 0 {
for i := ki; i >= 0; i -= nb {
ib := math.min(nb, k - i)
if i + ib < n {
dlarft(.forward, .column_wise, m - i, ib, a[(i * lda + i)..], lda, tau[i..], mut
work, ldwork)

dlarfb(.left, .no_trans, .forward, .column_wise, m - i, n - i - ib, ib,
a[(i * lda + i)..], lda, work, ldwork, mut a[(i * lda + i + ib)..],
lda, mut work[(ib * ldwork)..], ldwork)
}
dorg2r(m - i, ib, ib, mut a[(i * lda + i)..], lda, tau[i..(i + ib)], mut work)
for j := i; j < i + ib; j++ {
for l := 0; l < i; l++ {
unsafe {
a[l * lda + j] = 0.0
}
}
}
}
}
work[0] = f64(iws)
}
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Review of comprehensive error handling and performance considerations in dorgqr.

  • Error Handling: The function has robust error handling (lines 7-30), ensuring that all input parameters are within acceptable ranges. This is crucial for a mathematical function where input dimensions dictate behavior.
  • Performance: The use of blocking (line 37 and onwards) is a good strategy for optimizing matrix operations. However, the calculation of nb, nx, and ldwork could be encapsulated into a helper function to improve readability and reusability.
  • Magic Numbers: Similar to the previous file, consider replacing magic numbers with named constants.
- mut nb := ilaenv(1, 'DORGQR', ' ', m, n, k, -1)
+ const block_size_factor = 1
+ mut nb := ilaenv(block_size_factor, 'DORGQR', ' ', m, n, k, -1)
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Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn dorgqr(m int, n int, k int, mut a []f64, lda int, tau []f64, mut work []f64, lwork int) {
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if n > m {
panic(n_gtm)
}
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) && lwork != -1 {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}
if n == 0 {
work[0] = 1.0
return
}
mut nb := ilaenv(1, 'DORGQR', ' ', m, n, k, -1)
if lwork == -1 {
work[0] = f64(n * nb)
return
}
if a.len < (m - 1) * lda + n {
panic(short_a)
}
if tau.len != k {
panic(bad_len_tau)
}
mut nbmin := 2
mut nx := 0
mut iws := n
mut ldwork := 0
if 1 < nb && nb < k {
nx = math.max(0, ilaenv(3, 'DORGQR', ' ', m, n, k, -1))
if nx < k {
ldwork = nb
iws = n * ldwork
if lwork < iws {
nb = lwork / n
ldwork = nb
nbmin = math.max(2, ilaenv(2, 'DORGQR', ' ', m, n, k, -1))
}
}
}
mut ki := 0
mut kk := 0
if nbmin <= nb && nb < k && nx < k {
ki = ((k - nx - 1) / nb) * nb
kk = math.min(k, ki + nb)
for i := 0; i < kk; i++ {
for j := kk; j < n; j++ {
unsafe {
a[i * lda + j] = 0.0
}
}
}
}
if kk < n {
dorg2r(m - kk, n - kk, k - kk, mut a[(kk * lda + kk)..], lda, tau[kk..], mut work)
}
if kk > 0 {
for i := ki; i >= 0; i -= nb {
ib := math.min(nb, k - i)
if i + ib < n {
dlarft(.forward, .column_wise, m - i, ib, a[(i * lda + i)..], lda, tau[i..], mut
work, ldwork)
dlarfb(.left, .no_trans, .forward, .column_wise, m - i, n - i - ib, ib,
a[(i * lda + i)..], lda, work, ldwork, mut a[(i * lda + i + ib)..],
lda, mut work[(ib * ldwork)..], ldwork)
}
dorg2r(m - i, ib, ib, mut a[(i * lda + i)..], lda, tau[i..(i + ib)], mut work)
for j := i; j < i + ib; j++ {
for l := 0; l < i; l++ {
unsafe {
a[l * lda + j] = 0.0
}
}
}
}
}
work[0] = f64(iws)
}
pub fn dorgqr(m int, n int, k int, mut a []f64, lda int, tau []f64, mut work []f64, lwork int) {
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if n > m {
panic(n_gtm)
}
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) && lwork != -1 {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}
if n == 0 {
work[0] = 1.0
return
}
const block_size_factor = 1
mut nb := ilaenv(block_size_factor, 'DORGQR', ' ', m, n, k, -1)
if lwork == -1 {
work[0] = f64(n * nb)
return
}
if a.len < (m - 1) * lda + n {
panic(short_a)
}
if tau.len != k {
panic(bad_len_tau)
}
mut nbmin := 2
mut nx := 0
mut iws := n
mut ldwork := 0
if 1 < nb && nb < k {
nx = math.max(0, ilaenv(3, 'DORGQR', ' ', m, n, k, -1))
if nx < k {
ldwork = nb
iws = n * ldwork
if lwork < iws {
nb = lwork / n
ldwork = nb
nbmin = math.max(2, ilaenv(2, 'DORGQR', ' ', m, n, k, -1))
}
}
}
mut ki := 0
mut kk := 0
if nbmin <= nb && nb < k && nx < k {
ki = ((k - nx - 1) / nb) * nb
kk = math.min(k, ki + nb)
for i := 0; i < kk; i++ {
for j := kk; j < n; j++ {
unsafe {
a[i * lda + j] = 0.0
}
}
}
}
if kk < n {
dorg2r(m - kk, n - kk, k - kk, mut a[(kk * lda + kk)..], lda, tau[kk..], mut work)
}
if kk > 0 {
for i := ki; i >= 0; i -= nb {
ib := math.min(nb, k - i)
if i + ib < n {
dlarft(.forward, .column_wise, m - i, ib, a[(i * lda + i)..], lda, tau[i..], mut
work, ldwork)
dlarfb(.left, .no_trans, .forward, .column_wise, m - i, n - i - ib, ib,
a[(i * lda + i)..], lda, work, ldwork, mut a[(i * lda + i + ib)..],
lda, mut work[(ib * ldwork)..], ldwork)
}
dorg2r(m - i, ib, ib, mut a[(i * lda + i)..], lda, tau[i..(i + ib)], mut work)
for j := i; j < i + ib; j++ {
for l := 0; l < i; l++ {
unsafe {
a[l * lda + j] = 0.0
}
}
}
}
}
work[0] = f64(iws)
}

Comment on lines +21 to +92
pub fn dlarf(side blas.Side, m int, n int, v []f64, incv int, tau f64, mut c []f64, ldc int, mut work []f64) {
if side != .left && side != .right {
panic(bad_side)
}
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if incv == 0 {
panic(zero_inc_v)
}
if ldc < math.max(1, n) {
panic(bad_ld_c)
}

if m == 0 || n == 0 {
return
}

applyleft := side == .left
len_v := if applyleft { m } else { n }

if v.len < 1 + (len_v - 1) * math.abs(incv) {
panic(short_v)
}
if c.len < (m - 1) * ldc + n {
panic(short_c)
}
if (applyleft && work.len < n) || (!applyleft && work.len < m) {
panic(short_work)
}

mut lastv := -1 // last non-zero element of v
mut lastc := -1 // last non-zero row/column of C
if tau != 0 {
lastv = if applyleft { m - 1 } else { n - 1 }
mut i := if incv > 0 { lastv * incv } else { 0 }
// Look for the last non-zero row in v.
for lastv >= 0 && v[i] == 0 {
lastv--
i -= incv
}
if applyleft {
// Scan for the last non-zero column in C[0:lastv, :]
lastc = iladlc(lastv + 1, n, c, ldc)
} else {
// Scan for the last non-zero row in C[:, 0:lastv]
lastc = iladlr(m, lastv + 1, c, ldc)
}
}
if lastv == -1 || lastc == -1 {
return
}

if applyleft {
// Form H * C
// w[0:lastc+1] = c[1:lastv+1, 1:lastc+1]ᵀ * v[1:lastv+1,1]
blas.dgemv(.trans, lastv + 1, lastc + 1, 1.0, c, ldc, v, incv, 0.0, mut work,
1)
// c[0: lastv, 0: lastc] = c[...] - w[0:lastv, 1] * v[1:lastc, 1]ᵀ
blas.dger(lastv + 1, lastc + 1, -tau, v, incv, work, 1, mut c, ldc)
} else {
// Form C * H
// w[0:lastc+1,1] := c[0:lastc+1,0:lastv+1] * v[0:lastv+1,1]
blas.dgemv(.no_trans, lastc + 1, lastv + 1, 1.0, c, ldc, v, incv, 0.0, mut work,
1)
// c[0:lastc+1,0:lastv+1] = c[...] - w[0:lastc+1,0] * v[0:lastv+1,0]ᵀ
blas.dger(lastc + 1, lastv + 1, -tau, work, 1, v, incv, mut c, ldc)
}
}
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Optimize and clarify the dlarf function.

  • Error Handling: The function includes multiple checks for input validity (lines 22-36). These are essential for a function manipulating matrix dimensions.
  • Clarity: The comments (lines 6-20) provide a good explanation of the function's purpose and parameters. However, the actual matrix operations (lines 77-91) could be better documented to explain each step's impact on the matrix.
  • Performance: The function could benefit from optimizing the matrix operations by checking if any preconditions allow skipping certain calculations.
+ // Check if scaling is needed before applying transformations
+ if (tau == 0) return;
- if tau != 0 {
+ // Apply transformations

Committable suggestion was skipped due to low confidence.

Comment on lines +6 to +103
pub fn dsyev(jobz EigenVectorsJob, uplo blas.Uplo, n int, mut a []f64, lda int, mut w []f64, mut work []f64, lwork int) {
if jobz != .ev_none && jobz != .ev_compute {
panic(bad_ev_job)
}
if uplo != .upper && uplo != .lower {
panic(bad_uplo)
}
if n < 0 {
panic(n_lt0)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if lwork < math.max(1, 3 * n - 1) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}

// Quick return if possible.
if n == 0 {
return
}

opts := if uplo == .upper { 'U' } else { 'L' }
nb := ilaenv(1, 'DSYTRD', opts, n, -1, -1, -1)
lworkopt := math.max(1, (nb + 2) * n)
if lwork == -1 {
work[0] = f64(lworkopt)
return
}

if a.len < (n - 1) * lda + n {
panic(short_a)
}
if w.len < n {
panic(short_w)
}

if n == 1 {
w[0] = a[0]
work[0] = 2
if jobz == .ev_compute {
a[0] = 1
}
return
}

safmin := dlamch_s
eps := dlamch_p
smlnum := safmin / eps
bignum := 1 / smlnum
rmin := math.sqrt(smlnum)
rmax := math.sqrt(bignum)

// Scale matrix to allowable range, if necessary.
anrm := dlansy(.max_abs, uplo, n, a, lda, mut work)
mut scaled := false
mut sigma := f64(0)
if anrm > 0 && anrm < rmin {
scaled = true
sigma = rmin / anrm
} else if anrm > rmax {
scaled = true
sigma = rmax / anrm
}
if scaled {
kind := if uplo == .upper { MatrixType.upper_tri } else { MatrixType.lower_tri }
dlascl(kind, 0, 0, 1, sigma, n, n, mut a, lda)
}
inde := 0
indtau := inde + n
indwork := indtau + n
llwork := lwork - indwork
dsytrd(uplo, n, mut a, lda, mut w, mut work[inde..], mut work[indtau..], mut work[indwork..],
llwork)

// For eigenvalues only, call Dsterf. For eigenvectors, first call Dorgtr
// to generate the orthogonal matrix, then call Dsteqr.
if jobz == .ev_none {
if !dsterf(n, mut w, mut work[inde..]) {
panic('Dsterf failed')
}
} else {
dorgtr(uplo, n, mut a, lda, work[indtau..], mut work[indwork..], llwork)
if !dsteqr(EigenVectorsComp(jobz), n, mut w, mut work[inde..], mut a, lda, mut
work[indtau..]) {
panic('Dsteqr failed')
}
}

// If the matrix was scaled, then rescale eigenvalues appropriately.
if scaled {
blas.dscal(n, 1 / sigma, mut w, 1)
}
work[0] = f64(lworkopt)
}
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Enhance and optimize the dsyev function.

  • Correctness: The function correctly handles different scenarios based on the jobz parameter (lines 86-96). This flexibility is crucial for a function that may be used in various contexts.
  • Performance: The function performs scaling on the matrix to keep the values within an acceptable range (lines 62-76). This is a good practice to avoid numerical instability in eigenvalue computation.
  • Maintainability: The function is quite complex and could benefit from decomposing into smaller, more manageable functions. For instance, the scaling logic and the eigenvalue computation could be separated.
+ // Refactor scaling into a separate function
+ scale_matrix_if_needed(mut a, lda, n, uplo)
- if scaled {
+ // Call refactored function

Committable suggestion was skipped due to low confidence.

Comment on lines +6 to +108
}
if n < 0 {
panic(n_lt0)
}
if nb < 0 {
panic(nb_lt0)
}
if nb > n {
panic(nb_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if ldw < math.max(1, nb) {
panic(bad_ld_w)
}

if n == 0 {
return
}

if a.len < (n - 1) * lda + n {
panic(short_a)
}
if w.len < (n - 1) * ldw + nb {
panic(short_w)
}
if e.len < n - 1 {
panic(short_e)
}
if tau.len < n - 1 {
panic(short_tau)
}

if uplo == .upper {
for i := n - 1; i >= n - nb; i-- {
iw := i - n + nb
if i < n - 1 {
// Update A(0:i, i).
blas.dgemv(.no_trans, i + 1, n - i - 1, -1, a[i + 1..], lda, w[i * ldw + iw + 1..],
1, 1, mut a[i..], lda)
blas.dgemv(.no_trans, i + 1, n - i - 1, -1, w[iw + 1..], ldw, a[i * lda + i + 1..],
1, 1, mut a[i..], lda)
}
if i > 0 {
// Generate elementary reflector H_i to annihilate A(0:i-2,i).
e[i - 1], tau[i - 1] = dlarfg(i, a[(i - 1) * lda + i], mut a[i..], lda)
a[(i - 1) * lda + i] = 1

// Compute W(0:i-1, i).
blas.dsymv(.upper, i, 1, a, lda, a[i..], lda, 0, mut w[iw..], ldw)
if i < n - 1 {
blas.dgemv(.trans, i, n - i - 1, 1, w[iw + 1..], ldw, a[i..], lda,
0, mut w[(i + 1) * ldw + iw..], ldw)
blas.dgemv(.no_trans, i, n - i - 1, -1, a[i + 1..], lda, w[(i + 1) * ldw + iw..],
ldw, 1, mut w[iw..], ldw)
blas.dgemv(.trans, i, n - i - 1, 1, a[i + 1..], lda, a[i..], lda,
0, mut w[(i + 1) * ldw + iw..], ldw)
blas.dgemv(.no_trans, i, n - i - 1, -1, w[iw + 1..], ldw, w[(i + 1) * ldw + iw..],
ldw, 1, mut w[iw..], ldw)
}
blas.dscal(i, tau[i - 1], mut w[iw..], ldw)
alpha := -0.5 * tau[i - 1] * blas.ddot(i, w[iw..], ldw, a[i..], lda)
blas.daxpy(i, alpha, a[i..], lda, mut w[iw..], ldw)
}
}
} else {
// Reduce first nb columns of lower triangle.
for i := 0; i < nb; i++ {
// Update A(i:n, i)
blas.dgemv(.no_trans, n - i, i, -1, a[i * lda..], lda, w[i * ldw..], 1, 1, mut
a[i * lda + i..], lda)
blas.dgemv(.no_trans, n - i, i, -1, w[i * ldw..], ldw, a[i * lda..], 1, 1, mut
a[i * lda + i..], lda)
if i < n - 1 {
// Generate elementary reflector H_i to annihilate A(i+2:n,i).
e[i], tau[i] = dlarfg(n - i - 1, a[(i + 1) * lda + i], mut a[math.min(i +
2, n - 1) * lda + i..], lda)
a[(i + 1) * lda + i] = 1

// Compute W(i+1:n,i).
blas.dsymv(.lower, n - i - 1, 1, a[(i + 1) * lda + i + 1..], lda, a[(i + 1) * lda +
i..], lda, 0, mut w[(i + 1) * ldw + i..], ldw)
blas.dgemv(.trans, n - i - 1, i, 1, w[(i + 1) * ldw..], ldw, a[(i + 1) * lda + i..],
lda, 0, mut w[i..], ldw)
blas.dgemv(.no_trans, n - i - 1, i, -1, a[(i + 1) * lda..], lda, w[i..],
ldw, 1, mut w[(i + 1) * ldw + i..], ldw)
blas.dgemv(.trans, n - i - 1, i, 1, a[(i + 1) * lda..], lda, a[(i + 1) * lda + i..],
lda, 0, mut w[i..], ldw)
blas.dgemv(.no_trans, n - i - 1, i, -1, w[(i + 1) * ldw..], ldw, w[i..],
ldw, 1, mut w[(i + 1) * ldw + i..], ldw)
blas.dscal(n - i - 1, tau[i], mut w[(i + 1) * ldw + i..], ldw)
alpha := -0.5 * tau[i] * blas.ddot(n - i - 1, w[(i + 1) * ldw + i..],
ldw, a[(i + 1) * lda + i..], lda)
blas.daxpy(n - i - 1, alpha, a[(i + 1) * lda + i..], lda, mut w[(i + 1) * ldw + i..],
ldw)
}
}
}
}
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Review and optimize the dlatrd function for better performance and clarity.

  • Error Handling: The function has comprehensive checks for input parameters (lines 7-24). This is essential for functions that perform modifications on matrices.
  • Performance: The function uses blocked algorithms to optimize matrix operations (lines 43-107). This is a good approach for large matrices but could be better explained in the comments.
  • Clarity: The function's purpose and operations could be better documented, especially the blocked algorithm parts, to improve understandability for new developers or maintainers.
+ // Detailed comment about the blocked algorithm approach
+ // Explain why blocking is used and how it improves performance
- for i := n - 1; i >= n - nb; i-- {
+ // Process each block
Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn dlatrd(uplo blas.Uplo, n int, nb int, mut a []f64, lda int, mut e []f64, mut tau []f64, mut w []f64, ldw int) {
if uplo != .upper && uplo != .lower {
panic(bad_uplo)
}
if n < 0 {
panic(n_lt0)
}
if nb < 0 {
panic(nb_lt0)
}
if nb > n {
panic(nb_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if ldw < math.max(1, nb) {
panic(bad_ld_w)
}
if n == 0 {
return
}
if a.len < (n - 1) * lda + n {
panic(short_a)
}
if w.len < (n - 1) * ldw + nb {
panic(short_w)
}
if e.len < n - 1 {
panic(short_e)
}
if tau.len < n - 1 {
panic(short_tau)
}
if uplo == .upper {
for i := n - 1; i >= n - nb; i-- {
iw := i - n + nb
if i < n - 1 {
// Update A(0:i, i).
blas.dgemv(.no_trans, i + 1, n - i - 1, -1, a[i + 1..], lda, w[i * ldw + iw + 1..],
1, 1, mut a[i..], lda)
blas.dgemv(.no_trans, i + 1, n - i - 1, -1, w[iw + 1..], ldw, a[i * lda + i + 1..],
1, 1, mut a[i..], lda)
}
if i > 0 {
// Generate elementary reflector H_i to annihilate A(0:i-2,i).
e[i - 1], tau[i - 1] = dlarfg(i, a[(i - 1) * lda + i], mut a[i..], lda)
a[(i - 1) * lda + i] = 1
// Compute W(0:i-1, i).
blas.dsymv(.upper, i, 1, a, lda, a[i..], lda, 0, mut w[iw..], ldw)
if i < n - 1 {
blas.dgemv(.trans, i, n - i - 1, 1, w[iw + 1..], ldw, a[i..], lda,
0, mut w[(i + 1) * ldw + iw..], ldw)
blas.dgemv(.no_trans, i, n - i - 1, -1, a[i + 1..], lda, w[(i + 1) * ldw + iw..],
ldw, 1, mut w[iw..], ldw)
blas.dgemv(.trans, i, n - i - 1, 1, a[i + 1..], lda, a[i..], lda,
0, mut w[(i + 1) * ldw + iw..], ldw)
blas.dgemv(.no_trans, i, n - i - 1, -1, w[iw + 1..], ldw, w[(i + 1) * ldw + iw..],
ldw, 1, mut w[iw..], ldw)
}
blas.dscal(i, tau[i - 1], mut w[iw..], ldw)
alpha := -0.5 * tau[i - 1] * blas.ddot(i, w[iw..], ldw, a[i..], lda)
blas.daxpy(i, alpha, a[i..], lda, mut w[iw..], ldw)
}
}
} else {
// Reduce first nb columns of lower triangle.
for i := 0; i < nb; i++ {
// Update A(i:n, i)
blas.dgemv(.no_trans, n - i, i, -1, a[i * lda..], lda, w[i * ldw..], 1, 1, mut
a[i * lda + i..], lda)
blas.dgemv(.no_trans, n - i, i, -1, w[i * ldw..], ldw, a[i * lda..], 1, 1, mut
a[i * lda + i..], lda)
if i < n - 1 {
// Generate elementary reflector H_i to annihilate A(i+2:n,i).
e[i], tau[i] = dlarfg(n - i - 1, a[(i + 1) * lda + i], mut a[math.min(i +
2, n - 1) * lda + i..], lda)
a[(i + 1) * lda + i] = 1
// Compute W(i+1:n,i).
blas.dsymv(.lower, n - i - 1, 1, a[(i + 1) * lda + i + 1..], lda, a[(i + 1) * lda +
i..], lda, 0, mut w[(i + 1) * ldw + i..], ldw)
blas.dgemv(.trans, n - i - 1, i, 1, w[(i + 1) * ldw..], ldw, a[(i + 1) * lda + i..],
lda, 0, mut w[i..], ldw)
blas.dgemv(.no_trans, n - i - 1, i, -1, a[(i + 1) * lda..], lda, w[i..],
ldw, 1, mut w[(i + 1) * ldw + i..], ldw)
blas.dgemv(.trans, n - i - 1, i, 1, a[(i + 1) * lda..], lda, a[(i + 1) * lda + i..],
lda, 0, mut w[i..], ldw)
blas.dgemv(.no_trans, n - i - 1, i, -1, w[(i + 1) * ldw..], ldw, w[i..],
ldw, 1, mut w[(i + 1) * ldw + i..], ldw)
blas.dscal(n - i - 1, tau[i], mut w[(i + 1) * ldw + i..], ldw)
alpha := -0.5 * tau[i] * blas.ddot(n - i - 1, w[(i + 1) * ldw + i..],
ldw, a[(i + 1) * lda + i..], lda)
blas.daxpy(n - i - 1, alpha, a[(i + 1) * lda + i..], lda, mut w[(i + 1) * ldw + i..],
ldw)
}
}
}
}
pub fn dlatrd(uplo blas.Uplo, n int, nb int, mut a []f64, lda int, mut e []f64, mut tau []f64, mut w []f64, ldw int) {
if uplo != .upper && uplo != .lower {
panic(bad_uplo)
}
if n < 0 {
panic(n_lt0)
}
if nb < 0 {
panic(nb_lt0)
}
if nb > n {
panic(nb_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if ldw < math.max(1, nb) {
panic(bad_ld_w)
}
if n == 0 {
return
}
if a.len < (n - 1) * lda + n {
panic(short_a)
}
if w.len < (n - 1) * ldw + nb {
panic(short_w)
}
if e.len < n - 1 {
panic(short_e)
}
if tau.len < n - 1 {
panic(short_tau)
}
if uplo == .upper {
// Detailed comment about the blocked algorithm approach
// Explain why blocking is used and how it improves performance
for i := n - 1; i >= n - nb; i-- {
iw := i - n + nb
if i < n - 1 {
// Update A(0:i, i).
blas.dgemv(.no_trans, i + 1, n - i - 1, -1, a[i + 1..], lda, w[i * ldw + iw + 1..],
1, 1, mut a[i..], lda)
blas.dgemv(.no_trans, i + 1, n - i - 1, -1, w[iw + 1..], ldw, a[i * lda + i + 1..],
1, 1, mut a[i..], lda)
}
if i > 0 {
// Generate elementary reflector H_i to annihilate A(0:i-2,i).
e[i - 1], tau[i - 1] = dlarfg(i, a[(i - 1) * lda + i], mut a[i..], lda)
a[(i - 1) * lda + i] = 1
// Compute W(0:i-1, i).
blas.dsymv(.upper, i, 1, a, lda, a[i..], lda, 0, mut w[iw..], ldw)
if i < n - 1 {
blas.dgemv(.trans, i, n - i - 1, 1, w[iw + 1..], ldw, a[i..], lda,
0, mut w[(i + 1) * ldw + iw..], ldw)
blas.dgemv(.no_trans, i, n - i - 1, -1, a[i + 1..], lda, w[(i + 1) * ldw + iw..],
ldw, 1, mut w[iw..], ldw)
blas.dgemv(.trans, i, n - i - 1, 1, a[i + 1..], lda, a[i..], lda,
0, mut w[(i + 1) * ldw + iw..], ldw)
blas.dgemv(.no_trans, i, n - i - 1, -1, w[iw + 1..], ldw, w[(i + 1) * ldw + iw..],
ldw, 1, mut w[iw..], ldw)
}
blas.dscal(i, tau[i - 1], mut w[iw..], ldw)
alpha := -0.5 * tau[i - 1] * blas.ddot(i, w[iw..], ldw, a[i..], lda)
blas.daxpy(i, alpha, a[i..], lda, mut w[iw..], ldw)
}
}
} else {
// Reduce first nb columns of lower triangle.
for i := 0; i < nb; i++ {
// Update A(i:n, i)
blas.dgemv(.no_trans, n - i, i, -1, a[i * lda..], lda, w[i * ldw..], 1, 1, mut
a[i * lda + i..], lda)
blas.dgemv(.no_trans, n - i, i, -1, w[i * ldw..], ldw, a[i * lda..], 1, 1, mut
a[i * lda + i..], lda)
if i < n - 1 {
// Generate elementary reflector H_i to annihilate A(i+2:n,i).
e[i], tau[i] = dlarfg(n - i - 1, a[(i + 1) * lda + i], mut a[math.min(i +
2, n - 1) * lda + i..], lda)
a[(i + 1) * lda + i] = 1
// Compute W(i+1:n,i).
blas.dsymv(.lower, n - i - 1, 1, a[(i + 1) * lda + i + 1..], lda, a[(i + 1) * lda +
i..], lda, 0, mut w[(i + 1) * ldw + i..], ldw)
blas.dgemv(.trans, n - i - 1, i, 1, w[(i + 1) * ldw..], ldw, a[(i + 1) * lda + i..],
lda, 0, mut w[i..], ldw)
blas.dgemv(.no_trans, n - i - 1, i, -1, a[(i + 1) * lda..], lda, w[i..],
ldw, 1, mut w[(i + 1) * ldw + i..], ldw)
blas.dgemv(.trans, n - i - 1, i, 1, a[(i + 1) * lda..], lda, a[(i + 1) * lda + i..],
lda, 0, mut w[i..], ldw)
blas.dgemv(.no_trans, n - i - 1, i, -1, w[(i + 1) * ldw..], ldw, w[i..],
ldw, 1, mut w[(i + 1) * ldw + i..], ldw)
blas.dscal(n - i - 1, tau[i], mut w[(i + 1) * ldw + i..], ldw)
alpha := -0.5 * tau[i] * blas.ddot(n - i - 1, w[(i + 1) * ldw + i..],
ldw, a[(i + 1) * lda + i..], lda)
blas.daxpy(n - i - 1, alpha, a[(i + 1) * lda + i..], lda, mut w[(i + 1) * ldw + i..],
ldw)
}
}
}
}

Comment on lines +31 to +140
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}

// Quick return if possible.
if n == 0 {
work[0] = 1
return
}

mut nb := ilaenv(1, 'DORGQL', ' ', m, n, k, -1)
if lwork == -1 {
work[0] = f64(n * nb)
return
}

if a.len < (m - 1) * lda + n {
panic(short_a)
}
if tau.len < k {
panic(short_tau)
}

mut nbmin := 2
mut nx := 0
mut ldwork := 0
mut iws := n
if 1 < nb && nb < k {
// Determine when to cross over from blocked to unblocked code.
nx = math.max(0, ilaenv(3, 'DORGQL', ' ', m, n, k, -1))
if nx < k {
// Determine if workspace is large enough for blocked code.
iws = n * nb
if lwork < iws {
// Not enough workspace to use optimal nb: reduce nb and determine
// the minimum value of nb.
nb = lwork / n
nbmin = math.max(2, ilaenv(2, 'DORGQL', ' ', m, n, k, -1))
}
ldwork = nb
}
}

mut kk := 0
if nbmin <= nb && nb < k && nx < k {
// Use blocked code after the first block. The last kk columns are handled
// by the block method.
kk = math.min(k, ((k - nx + nb - 1) / nb) * nb)

// Set A(m-kk:m, 0:n-kk) to zero.
for i := m - kk; i < m; i++ {
for j := 0; j < n - kk; j++ {
a[i * lda + j] = 0
}
}
}

// Use unblocked code for the first or only block.
dorg2l(m - kk, n - kk, k - kk, mut a, lda, tau, mut work)
if kk > 0 {
// Use blocked code.
for i := k - kk; i < k; i += nb {
ib := math.min(nb, k - i)
if n - k + i > 0 {
// Form the triangular factor of the block reflector
// H = H_{i+ib-1} * ... * H_{i+1} * H_i.
dlarft(.backward, .column_wise, m - k + i + ib, ib, a[n - k + i..], lda,
tau[i..], mut work, ldwork)

// Apply H to A[0:m-k+i+ib, 0:n-k+i] from the left.
dlarfb(.left, .no_trans, .backward, .column_wise, m - k + i + ib, n - k + i,
ib, a[n - k + i..], lda, work, ldwork, mut a, lda, mut work[ib * ldwork..],
ldwork)
}

// Apply H to rows 0:m-k+i+ib of current block.
dorg2l(m - k + i + ib, ib, ib, mut a[n - k + i..], lda, tau[i..], mut work)

// Set rows m-k+i+ib:m of current block to zero.
for j := n - k + i; j < n - k + i + ib; j++ {
for l := m - k + i + ib; l < m; l++ {
a[l * lda + j] = 0
}
}
}
}
work[0] = f64(iws)
}
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Refactor dorgql for enhanced error messages and performance optimization.

  • Error Handling: The function includes robust error handling (lines 32-55). However, the error messages could be more descriptive, as suggested in previous comments.
  • Performance: The function uses a blocked algorithm to optimize the generation of the matrix Q (lines 96-138). This is an efficient approach but could be better documented.
  • Clarity: The function's operations, especially the use of elementary reflectors, could be better explained in the comments to aid understanding.
+ // Improve error messages for better clarity
- panic(m_lt0)
+ panic("Parameter 'm' must be non-negative.")
Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn dorgql(m int, n int, k int, mut a []f64, lda int, tau []f64, mut work []f64, lwork int) {
if m < 0 {
panic(m_lt0)
}
if n < 0 {
panic(n_lt0)
}
if n > m {
panic(n_gtm)
}
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}
// Quick return if possible.
if n == 0 {
work[0] = 1
return
}
mut nb := ilaenv(1, 'DORGQL', ' ', m, n, k, -1)
if lwork == -1 {
work[0] = f64(n * nb)
return
}
if a.len < (m - 1) * lda + n {
panic(short_a)
}
if tau.len < k {
panic(short_tau)
}
mut nbmin := 2
mut nx := 0
mut ldwork := 0
mut iws := n
if 1 < nb && nb < k {
// Determine when to cross over from blocked to unblocked code.
nx = math.max(0, ilaenv(3, 'DORGQL', ' ', m, n, k, -1))
if nx < k {
// Determine if workspace is large enough for blocked code.
iws = n * nb
if lwork < iws {
// Not enough workspace to use optimal nb: reduce nb and determine
// the minimum value of nb.
nb = lwork / n
nbmin = math.max(2, ilaenv(2, 'DORGQL', ' ', m, n, k, -1))
}
ldwork = nb
}
}
mut kk := 0
if nbmin <= nb && nb < k && nx < k {
// Use blocked code after the first block. The last kk columns are handled
// by the block method.
kk = math.min(k, ((k - nx + nb - 1) / nb) * nb)
// Set A(m-kk:m, 0:n-kk) to zero.
for i := m - kk; i < m; i++ {
for j := 0; j < n - kk; j++ {
a[i * lda + j] = 0
}
}
}
// Use unblocked code for the first or only block.
dorg2l(m - kk, n - kk, k - kk, mut a, lda, tau, mut work)
if kk > 0 {
// Use blocked code.
for i := k - kk; i < k; i += nb {
ib := math.min(nb, k - i)
if n - k + i > 0 {
// Form the triangular factor of the block reflector
// H = H_{i+ib-1} * ... * H_{i+1} * H_i.
dlarft(.backward, .column_wise, m - k + i + ib, ib, a[n - k + i..], lda,
tau[i..], mut work, ldwork)
// Apply H to A[0:m-k+i+ib, 0:n-k+i] from the left.
dlarfb(.left, .no_trans, .backward, .column_wise, m - k + i + ib, n - k + i,
ib, a[n - k + i..], lda, work, ldwork, mut a, lda, mut work[ib * ldwork..],
ldwork)
}
// Apply H to rows 0:m-k+i+ib of current block.
dorg2l(m - k + i + ib, ib, ib, mut a[n - k + i..], lda, tau[i..], mut work)
// Set rows m-k+i+ib:m of current block to zero.
for j := n - k + i; j < n - k + i + ib; j++ {
for l := m - k + i + ib; l < m; l++ {
a[l * lda + j] = 0
}
}
}
}
work[0] = f64(iws)
}
pub fn dorgql(m int, n int, k int, mut a []f64, lda int, tau []f64, mut work []f64, lwork int) {
// Improve error messages for better clarity
if m < 0 {
panic("Parameter 'm' must be non-negative.")
}
if n < 0 {
panic(n_lt0)
}
if n > m {
panic(n_gtm)
}
if k < 0 {
panic(k_lt0)
}
if k > n {
panic(k_gtn)
}
if lda < math.max(1, n) {
panic(bad_ld_a)
}
if lwork < math.max(1, n) && lwork != -1 {
panic(bad_l_work)
}
if work.len < math.max(1, lwork) {
panic(short_work)
}
// Quick return if possible.
if n == 0 {
work[0] = 1
return
}
mut nb := ilaenv(1, 'DORGQL', ' ', m, n, k, -1)
if lwork == -1 {
work[0] = f64(n * nb)
return
}
if a.len < (m - 1) * lda + n {
panic(short_a)
}
if tau.len < k {
panic(short_tau)
}
mut nbmin := 2
mut nx := 0
mut ldwork := 0
mut iws := n
if 1 < nb && nb < k {
// Determine when to cross over from blocked to unblocked code.
nx = math.max(0, ilaenv(3, 'DORGQL', ' ', m, n, k, -1))
if nx < k {
// Determine if workspace is large enough for blocked code.
iws = n * nb
if lwork < iws {
// Not enough workspace to use optimal nb: reduce nb and determine
// the minimum value of nb.
nb = lwork / n
nbmin = math.max(2, ilaenv(2, 'DORGQL', ' ', m, n, k, -1))
}
ldwork = nb
}
}
mut kk := 0
if nbmin <= nb && nb < k && nx < k {
// Use blocked code after the first block. The last kk columns are handled
// by the block method.
kk = math.min(k, ((k - nx + nb - 1) / nb) * nb)
// Set A(m-kk:m, 0:n-kk) to zero.
for i := m - kk; i < m; i++ {
for j := 0; j < n - kk; j++ {
a[i * lda + j] = 0
}
}
}
// Use unblocked code for the first or only block.
dorg2l(m - kk, n - kk, k - kk, mut a, lda, tau, mut work)
if kk > 0 {
// Use blocked code.
for i := k - kk; i < k; i += nb {
ib := math.min(nb, k - i)
if n - k + i > 0 {
// Form the triangular factor of the block reflector
// H = H_{i+ib-1} * ... * H_{i+1} * H_i.
dlarft(.backward, .column_wise, m - k + i + ib, ib, a[n - k + i..], lda,
tau[i..], mut work, ldwork)
// Apply H to A[0:m-k+i+ib, 0:n-k+i] from the left.
dlarfb(.left, .no_trans, .backward, .column_wise, m - k + i + ib, n - k + i,
ib, a[n - k + i..], lda, work, ldwork, mut a, lda, mut work[ib * ldwork..],
ldwork)
}
// Apply H to rows 0:m-k+i+ib of current block.
dorg2l(m - k + i + ib, ib, ib, mut a[n - k + i..], lda, tau[i..], mut work)
// Set rows m-k+i+ib:m of current block to zero.
for j := n - k + i; j < n - k + i + ib; j++ {
for l := m - k + i + ib; l < m; l++ {
a[l * lda + j] = 0
}
}
}
}
work[0] = f64(iws)
}

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Files selected for processing (2)
  • lapack/lapack64/dpotf2.v (1 hunks)
  • lapack/lapack64/dpotrf.v (1 hunks)
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  • lapack/lapack64/dpotrf.v
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lapack/lapack64/dpotf2.v (1)

13-71: Review of dpotf2 function: Comprehensive analysis

The dpotf2 function is well-structured and follows good programming practices with appropriate checks and balances. Here are specific observations and suggestions:

  1. Parameter Validation:

    • The function correctly checks for invalid ul values, negative n, and inappropriate lda. This ensures robust error handling and prevents further execution with invalid parameters.
    • The use of panic for error handling is aggressive but acceptable given the internal nature of the function.
  2. Memory Bounds Check:

    • The check on line 29 ensures that the array a is sufficiently large to hold the necessary elements, preventing out-of-bounds memory access.
  3. Algorithm Implementation:

    • The algorithm differentiates between upper and lower triangular matrices and performs computations accordingly. This is consistent with standard practices in linear algebra libraries.
    • The usage of BLAS functions like ddot, dgemv, and dscal is appropriate and leverages optimized routines for performance.
  4. Error Conditions in Computations:

    • The checks for non-positive ajj and NaN values (lines 39 and 58) are crucial for ensuring the matrix is positive definite. Returning false upon encountering such conditions is a clean way to indicate an error to the caller.
  5. Optimization Opportunities:

    • Consider parallelizing the outer loops (lines 34 and 53) if the matrix size n is large enough to benefit from multi-threading, given that each iteration of the loop is independent of others.
  6. Documentation and Readability:

    • The comments are clear and provide a good explanation of what each part of the code does. However, adding a few more comments explaining the mathematical operations, especially for those unfamiliar with Cholesky decomposition, could be beneficial.
  7. Potential Bugs or Issues:

    • Ensure that the panic messages (bad_uplo, n_lt0, bad_ld_a, short_a) are defined elsewhere in the module or are standard in V. If not, these could lead to undefined behavior or less informative error messages.

Overall, the function is robust and well-implemented. It adheres to the mathematical requirements of the Cholesky decomposition and makes good use of optimized routines from BLAS.

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Files that changed from the base of the PR and between 8afd14a and 3af89bf.

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  • blas/oblas_notd_vsl_blas_cblas.v (1 hunks)
Files skipped from review as they are similar to previous changes (1)
  • blas/oblas_notd_vsl_blas_cblas.v

* 'main' of github.com:vlang/vsl:
  Replace panic with vsl_panic in graph.v (#214)
  Replace panic with vsl_panic in eval function (#212)
  change IImage.data from voidptr to &u8
  Add Planck Temperature to Constants (#210)
  Add partial derivatives and tests (#209)
  ci: comment out the whole super-linter job (too many false positives, it seems that the tool is not configured properly)
  ci: update Dockerfile to satisfy the lint job
  ci: change `master` to `main` in .github/workflows/lint.yml
  ci: upgrade to `super-linter/super-linter/[email protected]`
  fix `v check-md ~/.vmodules/vsl`
  fix compilation on macos with latest clang 15 and LAPACK from brew
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  • lapack/lapack_macos.c.v (1 hunks)
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  • lapack/lapack_macos.c.v

* 'main' of github.com:vlang/vsl:
  feat: Improve machine learning models and data struct in vsl.ml
  feat: Add machine learning models and data struct to vsl.ml
  noise: add simplex noise (#207)
  poly: edit multiply and add divide functions (#215)
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