Flash

KO | EN

gitlite — search

#javascript #python #hacktoberfest #react #ai #typescript #llm #go #golang #android #machine-learning #rust #deep-learning #linux

(★ 43)

my little linear algebra library

Flash Latest Version Download

Download Latest Version (.zip)

// repository documentation

Was this content helpful?

★ 0 (0 ratings)

# Flash
<div align="center">
    <img src="./flash.png" width=400 height=400>
</div>

A little linear algebra library.

## Installation
```bash
# Clone the repo
git clone https://github.com/ubermenchh/Flash.git

# Compile the library
make

# Install the library 
sudo make install

# Cleanup the build files
make clean

# Uninstall the library 
sudo make uninstall
```

## Example

### Initializing and Freeing a Matrix 
```c
int main() {
    Matrix* m = InitMatrix(4, 2); // Initializes a matrix
    double m_data[] = {1, 2, 3, 4, 5, 6, 7, 8};
    SetElements(m, m_data); // you can also do m->data = m_data;
    // NOTE: if you set the elements with m->data, make sure the number of elements 
    //       in the array are equal to product of rows and cols of the matrix.

PrintMatrix(m); // prints the matrix

FreeMatrix(m); // frees the memory allocated to the matrix. DO NOT FORGET TO FREE THE MATRIX.

return 0;
}
```

```Output 
Matrix(data=(
[[  1.00000   2.00000  ]
 [  3.00000   4.00000  ]
 [  5.00000   6.00000  ]
 [  7.00000   8.00000  ]]
), size=(4, 2))
```

## Docs

### Vector Functions
```c
Vector* InitVector(size_t size)                                                         // Initialize a vector of length **size**.
void FreeVector(Vector* v)                                                              // Free the memory allocated for the vector.
void VectorSetElements(Vector* v, double* values)                                       // Set the elements of the vector to given values.
void VectorSet(Vector* v, size_t index, double value)                                   // Set the element at the specified index.
double VectorGet(Vector* v, size_t index)                                               // Get the element at the specified index.
void PrintVector(Vector* v)                                                             // Print the vector elements to standard output.
char* PrintVectorToString(Vector* v)                                                    // Return a string representation of the vector.
Vector* VectorAdd(Vector* v, Vector* w)                                                 // Add two vectors element-wise.
Vector* VectorSub(Vector* v, Vector* w)                                                 // Subtract two vectors element-wise.
Vector* VectorScale(Vector* v, int x)                                                   // Scale the vector by a scalar.
double VectorNorm(Vector* v)                                                            // Calculate the Euclidean norm of the vector.
double VectorDotProduct(Vector* v, Vector* w)                                           // Compute the dot product of two vectors.
double VectorAngle(Vector* v, Vector* w)                                                // Calculate the angle between two vectors.
double VectorCrossProduct(Vector* v, Vector* w)                                         // Compute the cross product of two vectors.
bool VectorEqual(Vector* v, Vector* w)                                                  // Check if two vectors are equal.
Vector* VectorNormalize(Vector* v)                                                      // Normalize the vector to have unit norm.
Vector* ZerosVector(size_t size)                                                        // Initialize a vector of zeros.
Vector* OnesVector(size_t size)                                                         // Initialize a vector of ones.
Vector* RandomVector(size_t size, int seed)                                             // Initialize a vector with random values.
Vector* VectorCopy(Vector* v)                                                           // Create a copy of the vector.
Vector* VectorMultiply(Vector* v, Vector* w)                                            // Multiply two vectors element-wise.
double VectorProjection(Vector* v, Vector* w)                                           // Compute the projection of v onto w.
Vector* VectorTransform(Vector* v, Matrix* m)                                           // Apply a matrix transformation to the vector.
Vector* VectorOrthog(Vector* v)                                                         // Return a vector orthogonal to the given vector.
double VectorSum(Vector* v)                                                             // Compute the sum of all elements in the vector.
Vector* VectorExp(Vector* v)                                                            // Apply the exponential function element-wise.
bool VectorAllClose(Vector* v, Vector* w)                                               // Check if two vectors are element-wise equal within a tolerance.
```

### Matrix Functions
```c 
Matrix* InitMatrix(int rows, int cols)                                                 // Initialize a matrix with specified rows and columns.
void FreeMatrix(Matrix* m)                                                             // Free the memory allocated for the matrix.
void SetElements(Matrix* m, double* values)                                            // Set the elements of the matrix with given values.
void PrintMatrix(Matrix* m)                                                            // Print the matrix elements to standard output.
Matrix* RandMatrix(int rows, int cols, int seed)                                       // Initialize a matrix with random values.
Matrix* RandnMatrix(int rows, int cols, int seed)                                      // Initialize a matrix with normally distributed values.
Matrix* MatrixAdd(Matrix* m, Matrix* n)                                                // Add two matrices element-wise.
Matrix* MatrixSub(Matrix* m, Matrix* n)                                                // Subtract two matrices element-wise.
Matrix* MatrixScale(Matrix* m, int x)                                                  // Scale the matrix by a scalar.
Matrix* MatrixTranspose(Matrix* m)                                                     // Transpose the matrix.
Matrix* OnesMatrix(int rows, int cols)                                                 // Initialize a matrix of ones.
Matrix* ZerosMatrix(int rows, int cols)                                                // Initialize a matrix of zeros.
Matrix* IdentityMatrix(int side)                                                       // Initialize an identity matrix.
Matrix* MatrixMul(Matrix* m, Matrix* n)                                                // Multiply two matrices.
Matrix* MatrixSlice(Matrix* m, int from_rows, int to_rows, int from_cols, int to_cols) // Slice the matrix.
MatrixTuple LUDecomposition(Matrix* A)                                                 // Perform LU decomposition.
double MatrixDeterminant(Matrix* m)                                                    // Calculate the determinant of the matrix.
double MatrixTrace(Matrix* m)                                                          // Calculate the trace of the matrix.
double FrobeniusNorm(Matrix* m)                                                        // Calculate the Frobenius norm.
double L1Norm(Matrix* m)                                                               // Calculate the L1 norm.
double InfinityNorm(Matrix* m)                                                         // Calculate the infinity norm.
double MatrixNorm(Matrix* m, char* type)                                               // Calculate the specified norm of the matrix.
Matrix* MatrixConcat(Matrix* m, Matrix* n, int axis)                                   // Concatenate two matrices along a specified axis.
Matrix* MatrixCopy(Matrix* m)                                                          // Create a copy of the matrix.
Matrix* MatrixNormalize(Matrix* m)                                                     // Normalize the matrix.
void swap_rows(Matrix* m, int row1, int row2)                                          // Swap two rows of the matrix.
void mult_row(Matrix* m, int row1, double scalar)                                      // Multiply a row by a scalar.
void add_row(Matrix* m, int row1, int row2, double scalar)                             // Add a multiple of one row to another.
int find_pivot(Matrix* m, int col, int row)                                            // Find the pivot element in a column.
Matrix* MatrixRowEchelon(Matrix* m)                                                    // Convert the matrix to row echelon form.
Matrix* MatrixInverse(Matrix* m)                                                       // Calculate the inverse of the matrix.
MatrixTuple QRDecomposition(Matrix* m)                                                 // Perform QR decomposition.
Matrix* QRAlgorithm(Matrix* m)                                                         // Apply the QR algorithm to the matrix.
Vector* MatrixEig(Matrix* m)                                                           // Compute the eigenvalues of the matrix.
int non_zero_rows(Matrix* m)                                                           // Count the non-zero rows.
int MatrixRank(Matrix* m)                                                              // Calculate the rank of the matrix.
Vector* MatrixDiagonal(Matrix* m, int k)                                               // Extract the k-th diagonal.
Matrix* MatrixTril(Matrix* m, int diag)                                                // Extract the lower triangular part.
Matrix* MatrixTriu(Matrix* m, int diag)                                                // Extract the upper triangular part.
double MatrixSum(Matrix* m)                                                            // Calculate the sum of all elements.
double MatrixMax(Matrix* m)                                                            // Find the maximum element.
double MatrixMin(Matrix* m)                                                            // Find the minimum element.
double MatrixMean(Matrix* m)                                                           // Calculate the mean of the elements.
double MatrixStd(Matrix* m)                                                            // Calculate the standard deviation.
Matrix* MatrixSumVals(Matrix* m, int dim)                                              // Sum elements along a dimension.
Matrix* MatrixMaxVals(Matrix* m, int dim)                                              // Max elements along a dimension.
Matrix* MatrixMinVals(Matrix* m, int dim)                                              // Min elements along a dimension.
Matrix* MatrixMeanVals(Matrix* m, int dim)                                             // Mean elements along a dimension.
Matrix* MatrixStdVals(Matrix* m, int dim)                                              // Standard deviation along a dimension.
bool MatrixAllClose(Matrix* m, Matrix* n)                                              // Check if two matrices are element-wise close.
Matrix* MatrixSolve(Matrix* m, Matrix* n)                                              // Solve a linear system.
Matrix* MatrixAbs(Matrix* m)                                                           // Apply absolute value element-wise.
Matrix* CholeskyDecomposition(Matrix* m)                                               // Perform Cholesky decomposition.
SVDStruct SVD(Matrix* m)                                                               // Perform Singular Value Decomposition.
Matrix* MatrixEigVec(Matrix* m)                                                        // Compute the eigenvectors.
Matrix* ToMatrix(Vector* v)                                                            // Convert a vector to a matrix.
Matrix* MatrixVectorMul(Matrix* m, Vector* v)                                          // Multiply a matrix by a vector.
Matrix* MatrixScalarAdd(Matrix* m, double x)                                           // Add a scalar to the matrix.
Matrix* MatrixScalarSub(Matrix* m, double x)                                           // Subtract a scalar from the matrix.
Matrix* MatrixScalarMul(Matrix* m, double x)                                           // Multiply the matrix by a scalar.
Matrix* MatrixScalarDiv(Matrix* m, double x)                                           // Divide the matrix by a scalar.
Matrix* MatrixMultiply(Matrix* m, Matrix* n)                                           // Multiply two matrices.
double MatrixLogDeterminant(Matrix* m)                                                 // Calculate the log determinant.
Matrix* MatrixPower(Matrix* m, double exp)                                             // Raise the matrix to a power.
Matrix* MatrixOnesLike(Matrix* m)                                                      // Initialize a matrix of ones with same shape.
Matrix* MatrixZerosLike(Matrix* m)                                                     // Initialize a matrix of zeros with same shape.
Matrix* MatrixFull(int rows, int cols, double value)                                   // Initialize a matrix with a specific value.
Matrix* MatrixFullLike(Matrix* m, double value)                                        // Initialize a matrix with specific value, same shape.
void MatrixFill(Matrix* m, double value)                                               // Fill the matrix with a specific value.
Matrix* MatrixReshape(Matrix* m, int rows, int cols)                                   // Reshape the matrix.
Matrix* MatrixFlatten(Matrix* m)                                                       // Flatten the matrix.
Matrix* MatrixClip(Matrix* m, double min, double max)                                  // Clip the matrix elements between min and max.
Matrix* MatrixSin(Matrix* m)                                                           // Apply sine function element-wise.
Matrix* MatrixCos(Matrix* m)                                                           // Apply cosine function element-wise.
Matrix* MatrixTan(Matrix* m)                                                           // Apply tangent function element-wise.
Matrix* MatrixArcSin(Matrix* m)                                                        // Apply arcsine function element-wise.
Matrix* MatrixArcCos(Matrix* m)                                                        // Apply arccosine function element-wise.
Matrix* MatrixArcTan(Matrix* m)                                                        // Apply arctangent function element-wise.
Matrix* MatrixSinh(Matrix* m)                                                          // Apply hyperbolic sine function element-wise.
Matrix* MatrixCosh(Matrix* m)                                                          // Apply hyperbolic cosine function element-wise.
Matrix* MatrixTanh(Matrix* m)                                                          // Apply hyperbolic tangent function element-wise.
Matrix* MatrixArcSinh(Matrix* m)                                                       // Apply inverse hyperbolic sine function element-wise.
Matrix* MatrixArcCosh(Matrix* m)                                                       // Apply inverse hyperbolic cosine function element-wise.
Matrix* MatrixArcTanh(Matrix* m)                                                       // Apply inverse hyperbolic tangent function element-wise.
Matrix* MatrixCumSum(Matrix* m)                                                        // Compute cumulative sum of elements.
Matrix* MatrixArange(double start, double end, double step)                            // Create a range of values.
Matrix* MatrixLog(Matrix* m)                                                           // Apply natural logarithm element-wise.
Matrix* MatrixLog10(Matrix* m)                                                         // Apply base-10 logarithm element-wise.
Matrix* MatrixLog2(Matrix* m)                                                          // Apply base-2 logarithm element-wise.
Matrix* MatrixLog1p(Matrix* m)                                                         // Apply log(1 + x) element-wise.
Matrix* MatrixReciprocal(Matrix* m)                                                    // Apply reciprocal function element-wise.
Matrix* MatrixFabs(Matrix* m)                                                          // Apply absolute value function element-wise.
Matrix* MatrixSqrt(Matrix* m)                                                          // Apply square root function element-wise.
Matrix* MatrixRSqrt(Matrix* m)                                                         // Apply reciprocal of square root function element-wise.
double MatrixProd(Matrix* m)                                                           // Compute the product of all elements.
Matrix* MatrixCumProd(Matrix* m)                                                       // Compute cumulative product of elements.
Matrix* MatrixLerp(Matrix* m, Matrix* n, double weight)                                // Linear interpolation between two matrices.
Matrix* MatrixNeg(Matrix* m)                                                           // Negate all elements in the matrix.
int MatrixNumel(Matrix* m)                                                             // Get the number of elements in the matrix.
Matrix* MatrixSign(Matrix* m)                                                          // Apply sign function element-wise.
Matrix* MatrixEq(Matrix* m, Matrix* n)                                                 // Check element-wise equality.
Matrix* MatrixLT(Matrix* m, Matrix* n)                                                 // Check element-wise less than.
Matrix* MatrixGT(Matrix* m, Matrix* n)                                                 // Check element-wise greater than.
Matrix* MatrixExp(Matrix* m)                                                           // Apply exponential function element-wise.
Matrix* MatrixLogSumExp(Matrix* m)                                                     // Compute log-sum-exp over elements.
Matrix* MatrixLGamma(Matrix* m)                                                        // Apply log-gamma function element-wise.
void MatrixResize(Matrix* m, int rows, int cols)                                       // Resize the matrix.
void MatrixResizeAs(Matrix* m, Matrix* n)                                              // Resize the matrix to match another matrix.
void MatrixSort(Matrix* m)                                                             // Sort elements in ascending order.
Matrix* MatrixArgSort(Matrix* m)                                                       // Return indices that would sort the matrix.
Matrix* MatrixRepeat(Matrix* m, int rrows, int rcols)                                  // Repeat the matrix along rows and columns.
Matrix* MatrixTake(Matrix* m, Matrix* n)                                               // Select elements from the matrix.
int MatrixArgMax(Matrix* m)                                                            // Find the index of the maximum element.
int MatrixArgMin(Matrix* m)                                                            // Find the index of the minimum element.
Matrix* MatrixArgMaxVals(Matrix* m, int dim)                                           // Indices of the max values along a dimension.
Matrix* MatrixArgMinVals(Matrix* m, int dim)                                           // Indices of the min values along a dimension.
```

### Misc. Functions
```c
double radian_to_degrees(double x)                                                      // Converts an angle measure in radian to degrees.
void FreeMatrixTuple(MatrixTuple mt)                                                    // Frees up the memory assigned to a MatrixTuple.
void FreeSVDStruct(SVDStruct svd)                                                       // Frees up the memory assigned to a SVDStruct.
```

#### TODO
- Cuda
- Python Frontend (maybe someday)

Flash

Flash Latest Version Download

Today's picks

Was this content helpful?

Recent Feedback

Flash

Flash Latest Version Download

Today's picks

Was this content helpful?

Recent Feedback

Download README