[v9,1/3] ipa: libipa: Add Matrix class
diff mbox series

Message ID 20240614113757.109452-2-paul.elder@ideasonboard.com
State Superseded
Headers show
Series
  • ipa: rkisp1: Add crosstalk algorithm
Related show

Commit Message

Paul Elder June 14, 2024, 11:37 a.m. UTC
Add a class to represent a Matrix object and operations for adding
matrices, multipling a matrix by a scalar, and multiplying two matrices.

Signed-off-by: Paul Elder <paul.elder@ideasonboard.com>
Reviewed-by: Stefan Klug <stefan.klug@ideasonboard.com>
Reviewed-by: Kieran Bingham <kieran.bingham@ideasonboard.com>

---
No change in v9

Changes in v8:
- remove readYaml and replace with yaml get
  - which makes this patch depend on "ipa: libipa: Vector and Pwl
    improvements"
- make default constructor make a zero matrix, and add an identity()
  static function
- add operator*=
- add operator* for reverse order of scalar-matrix product
- s/\<R\>/Rows/g, s/\<C\>/Cols/g

Changes in v7:
- fix copyright and license

Changes in v6:
- fix doxygen

Changes in v5:
- add documentation

Changes in v4:
- remove stray semicolons
- add operator<<
- clean up/optimize constructor
- replace get() and set() with operator[] (and a second [] can be used
  as operator[] returns a Span)

Changes in v3:
- fix template parameters of operator* to allow different types for the
  scalar multiplier and the matrix's number type
- clear data in constructors
- fix assert in constructor

Changes v2:
- make rows and columns into template arguments
- initialize to identity matrix on construction
- add getter and setter
- change from struct to class
- fix matrix multiplication
- clean up unused includes
- avoid dereferencing an absent std::optional
---
 src/ipa/libipa/matrix.cpp  | 149 +++++++++++++++++++++++++++
 src/ipa/libipa/matrix.h    | 204 +++++++++++++++++++++++++++++++++++++
 src/ipa/libipa/meson.build |   2 +
 3 files changed, 355 insertions(+)
 create mode 100644 src/ipa/libipa/matrix.cpp
 create mode 100644 src/ipa/libipa/matrix.h

Comments

Laurent Pinchart June 16, 2024, 5:10 p.m. UTC | #1
Hi Paul,

Thank you for the patch.

On Fri, Jun 14, 2024 at 08:37:55PM +0900, Paul Elder wrote:
> Add a class to represent a Matrix object and operations for adding
> matrices, multipling a matrix by a scalar, and multiplying two matrices.
> 
> Signed-off-by: Paul Elder <paul.elder@ideasonboard.com>
> Reviewed-by: Stefan Klug <stefan.klug@ideasonboard.com>
> Reviewed-by: Kieran Bingham <kieran.bingham@ideasonboard.com>
> 
> ---
> No change in v9
> 
> Changes in v8:
> - remove readYaml and replace with yaml get
>   - which makes this patch depend on "ipa: libipa: Vector and Pwl
>     improvements"
> - make default constructor make a zero matrix, and add an identity()
>   static function
> - add operator*=
> - add operator* for reverse order of scalar-matrix product
> - s/\<R\>/Rows/g, s/\<C\>/Cols/g
> 
> Changes in v7:
> - fix copyright and license
> 
> Changes in v6:
> - fix doxygen
> 
> Changes in v5:
> - add documentation
> 
> Changes in v4:
> - remove stray semicolons
> - add operator<<
> - clean up/optimize constructor
> - replace get() and set() with operator[] (and a second [] can be used
>   as operator[] returns a Span)
> 
> Changes in v3:
> - fix template parameters of operator* to allow different types for the
>   scalar multiplier and the matrix's number type
> - clear data in constructors
> - fix assert in constructor
> 
> Changes v2:
> - make rows and columns into template arguments
> - initialize to identity matrix on construction
> - add getter and setter
> - change from struct to class
> - fix matrix multiplication
> - clean up unused includes
> - avoid dereferencing an absent std::optional
> ---
>  src/ipa/libipa/matrix.cpp  | 149 +++++++++++++++++++++++++++
>  src/ipa/libipa/matrix.h    | 204 +++++++++++++++++++++++++++++++++++++
>  src/ipa/libipa/meson.build |   2 +
>  3 files changed, 355 insertions(+)
>  create mode 100644 src/ipa/libipa/matrix.cpp
>  create mode 100644 src/ipa/libipa/matrix.h
> 
> diff --git a/src/ipa/libipa/matrix.cpp b/src/ipa/libipa/matrix.cpp
> new file mode 100644
> index 000000000000..4f49ac4d8b6c
> --- /dev/null
> +++ b/src/ipa/libipa/matrix.cpp
> @@ -0,0 +1,149 @@
> +/* SPDX-License-Identifier: LGPL-2.1-or-later */
> +/*
> + * Copyright (C) 2024, Paul Elder <paul.elder@ideasonboard.com>
> + *
> + * Matrix and related operations
> + */
> +
> +#include "matrix.h"
> +
> +#include <libcamera/base/log.h>
> +
> +/**
> + * \file matrix.h
> + * \brief Matrix class
> + */
> +
> +namespace libcamera {
> +
> +LOG_DEFINE_CATEGORY(Matrix)
> +
> +namespace ipa {
> +
> +/**
> + * \class Matrix
> + * \brief Matrix class
> + * \tparam T Type of numerical values to be stored in the matrix
> + * \tparam Rows Number of rows in the matrix
> + * \tparam Cols Number of columns in the matrix
> + */
> +
> +/**
> + * \fn Matrix::Matrix()
> + * \brief Construct a zero matrix
> + */
> +
> +/**
> + * \fn Matrix::Matrix(const std::vector<T> &data)
> + * \brief Construct a matrix from supplied data
> + * \param[in] data Data from which to construct a matrix
> + *
> + * \a data is a one-dimensional vector and will be turned into a matrix in
> + * row-major order. The size of \a data must be equal to the product of the
> + * number of rows and columns of the matrix (RxC).

s/RxC/Rows x Cols/

> + */
> +
> +/**
> + * \fn Matrix::identity()
> + * \brief Construct an identity matrix
> + */
> +
> +/**
> + * \fn Matrix::toString

s/$/()/

> + * \brief Assemble and return a string describing the matrix
> + * \return A string describing the matrix
> + */
> +
> +/**
> + * \fn Span<const T, Cols> Matrix::operator[](size_t i) const
> + * \brief Index to a row in the matrix
> + * \param[in] i Index of row to retrieve
> + *
> + * This operator[] returns a Span, which can then be indexed into again with
> + * another operator[], allowing a convenient m[i][j] to access elements of the
> + * matrix. Note that the lifetime of the Span returned by this first-level
> + * operator[] is bound to that of the Matrix itself, so it is not recommended
> + * to save the Span that is the result of this operator[].
> + *
> + * \return Row \a i from the matrix, as a Span
> + */
> +
> +/**
> + * \fn Matrix::operator[](size_t i)
> + * \copydoc Matrix::operator[](size_t i) const
> + */
> +
> +/**
> + * \fn Matrix<T, Rows, Cols> &Matrix::operator*=(U d)
> + * \brief Scalar product

 * \brief Multiply the matrix by a scalar in-place

> + * \tparam U Type of the numerical scalar value
> + * \param d Scalar
> + * \return Product of this matrix and scalar \a d
> + */
> +
> +/**
> + * \fn Matrix::Matrix<U, Rows, Cols> operator*(T d, const Matrix<U, Rows, Cols> &m)
> + * \brief Scalar product

 * \brief Multiply the matrix by a scalar

> + * \tparam T Type of the numerical scalar value
> + * \tparam U Type of numerical values in the matrix
> + * \tparam Rows Number of rows in the matrix
> + * \tparam Cols Number of columns in the matrix
> + * \param d Scalar
> + * \param m Matrix
> + * \return Product of scalar \a d and matrix \a m
> + */
> +
> +/**
> + * \fn Matrix::Matrix<U, Rows, Cols> operator*(const Matrix<U, Rows, Cols> &m, T d)
> + * \copydoc operator*(T d, const Matrix<U, Rows, Cols> &m)
> + */
> +
> +/**
> + * \fn Matrix<T, R1, C2> operator*(const Matrix<T, R1, C1> &m1, const Matrix<T, R2, C2> &m2)
> + * \brief Matrix multiplication
> + * \tparam T Type of numerical values in the matrices
> + * \tparam R1 Number of rows in the first matrix
> + * \tparam C1 Number of columns in the first matrix
> + * \tparam R2 Number of rows in the second matrix
> + * \tparam C2 Number of columns in the second matrix
> + * \param m1 Multiplicand matrix
> + * \param m2 Multiplier matrix
> + * \return Matrix product of matrices \a m1 and \a m2
> + */
> +
> +/**
> + * \fn Matrix<T, Rows, Cols> operator+(const Matrix<T, Rows, Cols> &m1, const Matrix<T, Rows, Cols> &m2)
> + * \brief Matrix addition
> + * \tparam T Type of numerical values in the matrices
> + * \tparam Rows Number of rows in the matrices
> + * \tparam Cols Number of columns in the matrices
> + * \param m1 Summand matrix
> + * \param m2 Summand matrix
> + * \return Matrix sum of matrices \a m1 and \a m2
> + */
> +
> +} /* namespace ipa */
> +
> +#ifndef __DOXYGEN__
> +/*
> + * The YAML data shall be a list of numerical values. Its size shall be equal
> + * to the product of the number of rows and columns of the matrix (RxC). The

Rows x Cols here too.

> + * values shall be stored in row-major order.
> + */
> +bool matrixValidateYaml(const YamlObject &obj, unsigned int size)
> +{
> +	if (!obj.isList())
> +		return false;
> +
> +	if (obj.size() != size) {
> +		LOG(Matrix, Error)
> +			<< "Wrong number of values in matrix: expected "
> +			<< size << ", got " << obj.size();
> +		return false;
> +	}
> +
> +	return true;
> +}
> +#endif /* __DOXYGEN__ */
> +
> +} /* namespace libcamera */
> diff --git a/src/ipa/libipa/matrix.h b/src/ipa/libipa/matrix.h
> new file mode 100644
> index 000000000000..3a6b9b303acc
> --- /dev/null
> +++ b/src/ipa/libipa/matrix.h
> @@ -0,0 +1,204 @@
> +/* SPDX-License-Identifier: LGPL-2.1-or-later */
> +/*
> + * Copyright (C) 2024, Paul Elder <paul.elder@ideasonboard.com>
> + *
> + * Matrix and related operations
> + */
> +#pragma once
> +
> +#include <algorithm>
> +#include <cmath>
> +#include <sstream>
> +#include <vector>
> +
> +#include <libcamera/base/log.h>
> +#include <libcamera/base/span.h>
> +
> +#include "libcamera/internal/yaml_parser.h"
> +
> +namespace libcamera {
> +
> +LOG_DECLARE_CATEGORY(Matrix)
> +
> +namespace ipa {
> +
> +#ifndef __DOXYGEN__
> +template<typename T, unsigned int Rows, unsigned int Cols,
> +	 std::enable_if_t<std::is_arithmetic_v<T>> * = nullptr>
> +#else
> +template<typename T, unsigned int Rows, unsigned int Cols>
> +#endif /* __DOXYGEN__ */
> +class Matrix
> +{
> +public:
> +	Matrix()
> +	{
> +		data_.fill(static_cast<T>(0));
> +	}
> +
> +	Matrix(const std::vector<T> &data)
> +	{
> +		std::copy(data.begin(), data.end(), data_.begin());
> +	}
> +
> +	static Matrix identity()
> +	{
> +		Matrix ret;
> +		for (size_t i = 0; i < std::min(Rows, Cols); i++)
> +			ret[i][i] = static_cast<T>(1);
> +		return ret;
> +	}
> +
> +	~Matrix() = default;
> +
> +	const std::string toString() const
> +	{
> +		std::stringstream out;
> +
> +		out << "Matrix { ";
> +		for (unsigned int i = 0; i < Rows; i++) {
> +			out << "[ ";
> +			for (unsigned int j = 0; j < Cols; j++) {
> +				out << (*this)[i][j];
> +				out << ((j + 1 < Cols) ? ", " : " ");
> +			}
> +			out << ((i + 1 < Rows) ? "], " : "]");
> +		}
> +		out << " }";
> +
> +		return out.str();
> +	}
> +
> +	Span<const T, Cols> operator[](size_t i) const
> +	{
> +		return Span<const T, Cols>{ &data_.data()[i * Cols], Cols };
> +	}
> +
> +	Span<T, Cols> operator[](size_t i)
> +	{
> +		return Span<T, Cols>{ &data_.data()[i * Cols], Cols };
> +	}
> +
> +#ifndef __DOXYGEN__
> +	template<typename U, std::enable_if_t<std::is_arithmetic_v<U>>>
> +#else
> +	template<typename U>
> +#endif /* __DOXYGEN__ */
> +	Matrix<T, Rows, Cols> &operator*=(U d)
> +	{
> +		for (unsigned int i = 0; i < Rows * Cols; i++)
> +			data_[i] *= d;
> +		return *this;
> +	}
> +
> +private:
> +	std::array<T, Rows * Cols> data_;
> +};
> +
> +#ifndef __DOXYGEN__
> +template<typename T, typename U, unsigned int Rows, unsigned int Cols,
> +	 std::enable_if_t<std::is_arithmetic_v<T>> * = nullptr>
> +#else
> +template<typename T, typename U, unsigned int Rows, unsigned int Cols>
> +#endif /* __DOXYGEN__ */
> +Matrix<U, Rows, Cols> operator*(T d, const Matrix<U, Rows, Cols> &m)
> +{
> +	Matrix<U, Rows, Cols> result;
> +
> +	for (unsigned int i = 0; i < Rows; i++)
> +		for (unsigned int j = 0; j < Cols; j++)
> +			result[i][j] = d * m[i][j];

Curly braces for the outer loop.

> +
> +	return result;
> +}
> +
> +#ifndef __DOXYGEN__
> +template<typename T, typename U, unsigned int Rows, unsigned int Cols,
> +	 std::enable_if_t<std::is_arithmetic_v<T>> * = nullptr>
> +#else
> +template<typename T, typename U, unsigned int Rows, unsigned int Cols>
> +#endif /* __DOXYGEN__ */
> +Matrix<U, Rows, Cols> operator*(const Matrix<U, Rows, Cols> &m, T d)
> +{
> +	return d * m;
> +}
> +
> +#ifndef __DOXYGEN__
> +template<typename T,
> +	 unsigned int R1, unsigned int C1,
> +	 unsigned int R2, unsigned int C2,
> +	 std::enable_if_t<C1 == R2> * = nullptr>
> +#else
> +template<typename T, unsigned int R1, unsigned int C1, unsigned int R2, unsigned in C2>
> +#endif /* __DOXYGEN__ */
> +Matrix<T, R1, C2> operator*(const Matrix<T, R1, C1> &m1, const Matrix<T, R2, C2> &m2)
> +{
> +	Matrix<T, R1, C2> result;
> +
> +	for (unsigned int i = 0; i < R1; i++) {
> +		for (unsigned int j = 0; j < C2; j++) {
> +			T sum = 0;
> +
> +			for (unsigned int k = 0; k < C1; k++)
> +				sum += m1[i][k] * m2[k][j];
> +
> +			result[i][j] = sum;
> +		}
> +	}
> +
> +	return result;
> +}
> +
> +#ifndef __DOXYGEN__
> +template<typename T, unsigned int Rows, unsigned int Cols>
> +#endif /* __DOXYGEN__ */

No need to hide the template from Doxygen.

> +Matrix<T, Rows, Cols> operator+(const Matrix<T, Rows, Cols> &m1, const Matrix<T, Rows, Cols> &m2)
> +{
> +	Matrix<T, Rows, Cols> result;
> +
> +	for (unsigned int i = 0; i < Rows; i++)
> +		for (unsigned int j = 0; j < Cols; j++)
> +			result[i][j] = m1[i][j] + m2[i][j];

Curly braces for the outer loop.

Reviewed-by: Laurent Pinchart <laurent.pinchart@ideasonboard.com>

> +
> +	return result;
> +}
> +
> +#ifndef __DOXYGEN__
> +bool matrixValidateYaml(const YamlObject &obj, unsigned int size);
> +#endif /* __DOXYGEN__ */
> +
> +} /* namespace ipa */
> +
> +#ifndef __DOXYGEN__
> +template<typename T, unsigned int Rows, unsigned int Cols>
> +std::ostream &operator<<(std::ostream &out, const ipa::Matrix<T, Rows, Cols> &m)
> +{
> +	out << m.toString();
> +	return out;
> +}
> +
> +template<typename T, unsigned int Rows, unsigned int Cols>
> +struct YamlObject::Getter<ipa::Matrix<T, Rows, Cols>> {
> +	std::optional<ipa::Matrix<T, Rows, Cols>> get(const YamlObject &obj) const
> +	{
> +		if (!ipa::matrixValidateYaml(obj, Rows * Cols))
> +			return std::nullopt;
> +
> +		ipa::Matrix<T, Rows, Cols> matrix;
> +		T *data = &matrix[0][0];
> +
> +		unsigned int i = 0;
> +		for (const YamlObject &entry : obj.asList()) {
> +			const auto value = entry.get<T>();
> +			if (!value)
> +				return std::nullopt;
> +
> +			data[i++] = *value;
> +		}
> +
> +		return matrix;
> +	}
> +};
> +#endif /* __DOXYGEN__ */
> +
> +} /* namespace libcamera */
> diff --git a/src/ipa/libipa/meson.build b/src/ipa/libipa/meson.build
> index 496084233de7..1952dccf6236 100644
> --- a/src/ipa/libipa/meson.build
> +++ b/src/ipa/libipa/meson.build
> @@ -7,6 +7,7 @@ libipa_headers = files([
>      'exposure_mode_helper.h',
>      'fc_queue.h',
>      'histogram.h',
> +    'matrix.h',
>      'module.h',
>      'pwl.h',
>      'vector.h',
> @@ -19,6 +20,7 @@ libipa_sources = files([
>      'exposure_mode_helper.cpp',
>      'fc_queue.cpp',
>      'histogram.cpp',
> +    'matrix.cpp',
>      'module.cpp',
>      'pwl.cpp',
>      'vector.cpp',

Patch
diff mbox series

diff --git a/src/ipa/libipa/matrix.cpp b/src/ipa/libipa/matrix.cpp
new file mode 100644
index 000000000000..4f49ac4d8b6c
--- /dev/null
+++ b/src/ipa/libipa/matrix.cpp
@@ -0,0 +1,149 @@ 
+/* SPDX-License-Identifier: LGPL-2.1-or-later */
+/*
+ * Copyright (C) 2024, Paul Elder <paul.elder@ideasonboard.com>
+ *
+ * Matrix and related operations
+ */
+
+#include "matrix.h"
+
+#include <libcamera/base/log.h>
+
+/**
+ * \file matrix.h
+ * \brief Matrix class
+ */
+
+namespace libcamera {
+
+LOG_DEFINE_CATEGORY(Matrix)
+
+namespace ipa {
+
+/**
+ * \class Matrix
+ * \brief Matrix class
+ * \tparam T Type of numerical values to be stored in the matrix
+ * \tparam Rows Number of rows in the matrix
+ * \tparam Cols Number of columns in the matrix
+ */
+
+/**
+ * \fn Matrix::Matrix()
+ * \brief Construct a zero matrix
+ */
+
+/**
+ * \fn Matrix::Matrix(const std::vector<T> &data)
+ * \brief Construct a matrix from supplied data
+ * \param[in] data Data from which to construct a matrix
+ *
+ * \a data is a one-dimensional vector and will be turned into a matrix in
+ * row-major order. The size of \a data must be equal to the product of the
+ * number of rows and columns of the matrix (RxC).
+ */
+
+/**
+ * \fn Matrix::identity()
+ * \brief Construct an identity matrix
+ */
+
+/**
+ * \fn Matrix::toString
+ * \brief Assemble and return a string describing the matrix
+ * \return A string describing the matrix
+ */
+
+/**
+ * \fn Span<const T, Cols> Matrix::operator[](size_t i) const
+ * \brief Index to a row in the matrix
+ * \param[in] i Index of row to retrieve
+ *
+ * This operator[] returns a Span, which can then be indexed into again with
+ * another operator[], allowing a convenient m[i][j] to access elements of the
+ * matrix. Note that the lifetime of the Span returned by this first-level
+ * operator[] is bound to that of the Matrix itself, so it is not recommended
+ * to save the Span that is the result of this operator[].
+ *
+ * \return Row \a i from the matrix, as a Span
+ */
+
+/**
+ * \fn Matrix::operator[](size_t i)
+ * \copydoc Matrix::operator[](size_t i) const
+ */
+
+/**
+ * \fn Matrix<T, Rows, Cols> &Matrix::operator*=(U d)
+ * \brief Scalar product
+ * \tparam U Type of the numerical scalar value
+ * \param d Scalar
+ * \return Product of this matrix and scalar \a d
+ */
+
+/**
+ * \fn Matrix::Matrix<U, Rows, Cols> operator*(T d, const Matrix<U, Rows, Cols> &m)
+ * \brief Scalar product
+ * \tparam T Type of the numerical scalar value
+ * \tparam U Type of numerical values in the matrix
+ * \tparam Rows Number of rows in the matrix
+ * \tparam Cols Number of columns in the matrix
+ * \param d Scalar
+ * \param m Matrix
+ * \return Product of scalar \a d and matrix \a m
+ */
+
+/**
+ * \fn Matrix::Matrix<U, Rows, Cols> operator*(const Matrix<U, Rows, Cols> &m, T d)
+ * \copydoc operator*(T d, const Matrix<U, Rows, Cols> &m)
+ */
+
+/**
+ * \fn Matrix<T, R1, C2> operator*(const Matrix<T, R1, C1> &m1, const Matrix<T, R2, C2> &m2)
+ * \brief Matrix multiplication
+ * \tparam T Type of numerical values in the matrices
+ * \tparam R1 Number of rows in the first matrix
+ * \tparam C1 Number of columns in the first matrix
+ * \tparam R2 Number of rows in the second matrix
+ * \tparam C2 Number of columns in the second matrix
+ * \param m1 Multiplicand matrix
+ * \param m2 Multiplier matrix
+ * \return Matrix product of matrices \a m1 and \a m2
+ */
+
+/**
+ * \fn Matrix<T, Rows, Cols> operator+(const Matrix<T, Rows, Cols> &m1, const Matrix<T, Rows, Cols> &m2)
+ * \brief Matrix addition
+ * \tparam T Type of numerical values in the matrices
+ * \tparam Rows Number of rows in the matrices
+ * \tparam Cols Number of columns in the matrices
+ * \param m1 Summand matrix
+ * \param m2 Summand matrix
+ * \return Matrix sum of matrices \a m1 and \a m2
+ */
+
+} /* namespace ipa */
+
+#ifndef __DOXYGEN__
+/*
+ * The YAML data shall be a list of numerical values. Its size shall be equal
+ * to the product of the number of rows and columns of the matrix (RxC). The
+ * values shall be stored in row-major order.
+ */
+bool matrixValidateYaml(const YamlObject &obj, unsigned int size)
+{
+	if (!obj.isList())
+		return false;
+
+	if (obj.size() != size) {
+		LOG(Matrix, Error)
+			<< "Wrong number of values in matrix: expected "
+			<< size << ", got " << obj.size();
+		return false;
+	}
+
+	return true;
+}
+#endif /* __DOXYGEN__ */
+
+} /* namespace libcamera */
diff --git a/src/ipa/libipa/matrix.h b/src/ipa/libipa/matrix.h
new file mode 100644
index 000000000000..3a6b9b303acc
--- /dev/null
+++ b/src/ipa/libipa/matrix.h
@@ -0,0 +1,204 @@ 
+/* SPDX-License-Identifier: LGPL-2.1-or-later */
+/*
+ * Copyright (C) 2024, Paul Elder <paul.elder@ideasonboard.com>
+ *
+ * Matrix and related operations
+ */
+#pragma once
+
+#include <algorithm>
+#include <cmath>
+#include <sstream>
+#include <vector>
+
+#include <libcamera/base/log.h>
+#include <libcamera/base/span.h>
+
+#include "libcamera/internal/yaml_parser.h"
+
+namespace libcamera {
+
+LOG_DECLARE_CATEGORY(Matrix)
+
+namespace ipa {
+
+#ifndef __DOXYGEN__
+template<typename T, unsigned int Rows, unsigned int Cols,
+	 std::enable_if_t<std::is_arithmetic_v<T>> * = nullptr>
+#else
+template<typename T, unsigned int Rows, unsigned int Cols>
+#endif /* __DOXYGEN__ */
+class Matrix
+{
+public:
+	Matrix()
+	{
+		data_.fill(static_cast<T>(0));
+	}
+
+	Matrix(const std::vector<T> &data)
+	{
+		std::copy(data.begin(), data.end(), data_.begin());
+	}
+
+	static Matrix identity()
+	{
+		Matrix ret;
+		for (size_t i = 0; i < std::min(Rows, Cols); i++)
+			ret[i][i] = static_cast<T>(1);
+		return ret;
+	}
+
+	~Matrix() = default;
+
+	const std::string toString() const
+	{
+		std::stringstream out;
+
+		out << "Matrix { ";
+		for (unsigned int i = 0; i < Rows; i++) {
+			out << "[ ";
+			for (unsigned int j = 0; j < Cols; j++) {
+				out << (*this)[i][j];
+				out << ((j + 1 < Cols) ? ", " : " ");
+			}
+			out << ((i + 1 < Rows) ? "], " : "]");
+		}
+		out << " }";
+
+		return out.str();
+	}
+
+	Span<const T, Cols> operator[](size_t i) const
+	{
+		return Span<const T, Cols>{ &data_.data()[i * Cols], Cols };
+	}
+
+	Span<T, Cols> operator[](size_t i)
+	{
+		return Span<T, Cols>{ &data_.data()[i * Cols], Cols };
+	}
+
+#ifndef __DOXYGEN__
+	template<typename U, std::enable_if_t<std::is_arithmetic_v<U>>>
+#else
+	template<typename U>
+#endif /* __DOXYGEN__ */
+	Matrix<T, Rows, Cols> &operator*=(U d)
+	{
+		for (unsigned int i = 0; i < Rows * Cols; i++)
+			data_[i] *= d;
+		return *this;
+	}
+
+private:
+	std::array<T, Rows * Cols> data_;
+};
+
+#ifndef __DOXYGEN__
+template<typename T, typename U, unsigned int Rows, unsigned int Cols,
+	 std::enable_if_t<std::is_arithmetic_v<T>> * = nullptr>
+#else
+template<typename T, typename U, unsigned int Rows, unsigned int Cols>
+#endif /* __DOXYGEN__ */
+Matrix<U, Rows, Cols> operator*(T d, const Matrix<U, Rows, Cols> &m)
+{
+	Matrix<U, Rows, Cols> result;
+
+	for (unsigned int i = 0; i < Rows; i++)
+		for (unsigned int j = 0; j < Cols; j++)
+			result[i][j] = d * m[i][j];
+
+	return result;
+}
+
+#ifndef __DOXYGEN__
+template<typename T, typename U, unsigned int Rows, unsigned int Cols,
+	 std::enable_if_t<std::is_arithmetic_v<T>> * = nullptr>
+#else
+template<typename T, typename U, unsigned int Rows, unsigned int Cols>
+#endif /* __DOXYGEN__ */
+Matrix<U, Rows, Cols> operator*(const Matrix<U, Rows, Cols> &m, T d)
+{
+	return d * m;
+}
+
+#ifndef __DOXYGEN__
+template<typename T,
+	 unsigned int R1, unsigned int C1,
+	 unsigned int R2, unsigned int C2,
+	 std::enable_if_t<C1 == R2> * = nullptr>
+#else
+template<typename T, unsigned int R1, unsigned int C1, unsigned int R2, unsigned in C2>
+#endif /* __DOXYGEN__ */
+Matrix<T, R1, C2> operator*(const Matrix<T, R1, C1> &m1, const Matrix<T, R2, C2> &m2)
+{
+	Matrix<T, R1, C2> result;
+
+	for (unsigned int i = 0; i < R1; i++) {
+		for (unsigned int j = 0; j < C2; j++) {
+			T sum = 0;
+
+			for (unsigned int k = 0; k < C1; k++)
+				sum += m1[i][k] * m2[k][j];
+
+			result[i][j] = sum;
+		}
+	}
+
+	return result;
+}
+
+#ifndef __DOXYGEN__
+template<typename T, unsigned int Rows, unsigned int Cols>
+#endif /* __DOXYGEN__ */
+Matrix<T, Rows, Cols> operator+(const Matrix<T, Rows, Cols> &m1, const Matrix<T, Rows, Cols> &m2)
+{
+	Matrix<T, Rows, Cols> result;
+
+	for (unsigned int i = 0; i < Rows; i++)
+		for (unsigned int j = 0; j < Cols; j++)
+			result[i][j] = m1[i][j] + m2[i][j];
+
+	return result;
+}
+
+#ifndef __DOXYGEN__
+bool matrixValidateYaml(const YamlObject &obj, unsigned int size);
+#endif /* __DOXYGEN__ */
+
+} /* namespace ipa */
+
+#ifndef __DOXYGEN__
+template<typename T, unsigned int Rows, unsigned int Cols>
+std::ostream &operator<<(std::ostream &out, const ipa::Matrix<T, Rows, Cols> &m)
+{
+	out << m.toString();
+	return out;
+}
+
+template<typename T, unsigned int Rows, unsigned int Cols>
+struct YamlObject::Getter<ipa::Matrix<T, Rows, Cols>> {
+	std::optional<ipa::Matrix<T, Rows, Cols>> get(const YamlObject &obj) const
+	{
+		if (!ipa::matrixValidateYaml(obj, Rows * Cols))
+			return std::nullopt;
+
+		ipa::Matrix<T, Rows, Cols> matrix;
+		T *data = &matrix[0][0];
+
+		unsigned int i = 0;
+		for (const YamlObject &entry : obj.asList()) {
+			const auto value = entry.get<T>();
+			if (!value)
+				return std::nullopt;
+
+			data[i++] = *value;
+		}
+
+		return matrix;
+	}
+};
+#endif /* __DOXYGEN__ */
+
+} /* namespace libcamera */
diff --git a/src/ipa/libipa/meson.build b/src/ipa/libipa/meson.build
index 496084233de7..1952dccf6236 100644
--- a/src/ipa/libipa/meson.build
+++ b/src/ipa/libipa/meson.build
@@ -7,6 +7,7 @@  libipa_headers = files([
     'exposure_mode_helper.h',
     'fc_queue.h',
     'histogram.h',
+    'matrix.h',
     'module.h',
     'pwl.h',
     'vector.h',
@@ -19,6 +20,7 @@  libipa_sources = files([
     'exposure_mode_helper.cpp',
     'fc_queue.cpp',
     'histogram.cpp',
+    'matrix.cpp',
     'module.cpp',
     'pwl.cpp',
     'vector.cpp',