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Classes | |
class | ml_matrix |
Class definition for ml_matrix. | |
Defines | |
#define | ML_FP_TOL 1e-08 |
Defines the smallest floating point number to compensate for machine epsilon. | |
#define | ML_COLUMN_MAJOR |
Determines whether array data is internally stored by columns (FORTRAN storage) or by rows (C storage). | |
Enumerations | |
enum | ml_error_codes { ml_no_error = 0, ml_bad_index = 1, ml_size_mismatch = 2, ml_non_invertible_matrix = 3, ml_bad_file_pointer = 4, ml_bad_range = 5, ml_bad_operand = 6, ml_bad_string_format = 7, ml_invalid_buffer = 8, ml_lapack_error = 9 } |
Error codes for invalid matrix operations. More... | |
Functions | |
ml_matrix | linspace (double start, double finish, int n) |
Creates a linearly spaced vector with n points between two values. | |
ml_matrix | colon (double start, double incr, double end) |
Creates a vector using a fixed increment between two points. | |
ml_matrix | append_identity (const ml_matrix &b) |
Adds an appropriately sized identity matrix to the existing matrix. | |
ml_matrix | dup_rows (const ml_matrix &m, int num) |
Returns a new matrix with the specified matrix duplicated row-wise a given number of times. | |
ml_matrix | dup_cols (const ml_matrix &m, int num) |
Returns a new matrix with the specified matrix duplicated column-wise a given number of times. | |
ml_matrix | append (const ml_matrix &a, const ml_matrix &b) |
Returns a new matrix with the columns from the two matrices appended side by side. | |
ml_matrix | stack (const ml_matrix &a, const ml_matrix &b) |
Returns a new matrix with the rows from the second matrix stacked below the rows of the first matrix. | |
ml_matrix | sort (const ml_matrix &m, int direction=0) |
Sorts all the elements of the matrix. Ascending order is the default, pass a non-zero value for descending sort. | |
ml_matrix | apply (const ml_matrix &m, double(*func)(double)) |
Applies a specified function to every element in the matrix. | |
ml_matrix | operator * (double b, const ml_matrix &a) |
Scalar multiplication operator. | |
ml_matrix | operator * (const ml_matrix &a, double b) |
Scalar multiplication operator. | |
ml_matrix | operator * (const ml_matrix &a, const ml_matrix &b) |
Matrix multiplication operator. | |
ml_matrix | dotstar (const ml_matrix &a, const ml_matrix &b) |
Element by element multiplication, returning the results as a new matrix. | |
ml_matrix | operator/ (const ml_matrix &a, double b) |
Scalar division operator. | |
ml_matrix | operator/ (const ml_matrix &a, const ml_matrix &b) |
Matrix division operator. | |
ml_matrix | backslash (const ml_matrix &a, const ml_matrix &b) |
Backslash operator performs inverse(a) * b. | |
ml_matrix | dotslash (const ml_matrix &a, const ml_matrix &b) |
Element by element division, returning the results as a new matrix. | |
ml_matrix | operator+ (double b, const ml_matrix &a) |
Scalar addition operator. | |
ml_matrix | operator+ (const ml_matrix &a, double b) |
Scalar addition operator. | |
ml_matrix | operator+ (const ml_matrix &a, const ml_matrix &b) |
Matrix addition operator, adds corresponding elements. | |
ml_matrix | operator- (double b, const ml_matrix &a) |
Scalar subtraction operator. | |
ml_matrix | operator- (const ml_matrix &a, double b) |
Scalar subtraction operator. | |
ml_matrix | operator- (const ml_matrix &a, const ml_matrix &b) |
Matrix subtraction operator, adds corresponding elements. | |
ml_matrix | operator- (const ml_matrix &a) |
Matrix negation operator, returns the negative of each element. | |
ml_matrix | abs (const ml_matrix &x) |
Absolute value function - changes all values in the matrix to the absolute value of the element. | |
ml_matrix | ceil (const ml_matrix &x) |
Changes each element to the smallest integer greater than or equal to that element. | |
ml_matrix | floor (const ml_matrix &x) |
Changes each element to the largest integer less than or equal to that element. | |
ml_matrix | round (const ml_matrix &x) |
Rounds each element to the nearest integral value, rounding half-way cases away from zero. | |
ml_matrix | rint (const ml_matrix &x) |
Rounds each element to the nearest integral value according to the prevailing rounding mode. | |
ml_matrix | dotpow (const ml_matrix &, double n) |
Raises each element of the matrix to the given power. | |
ml_matrix | sqrt (const ml_matrix &x) |
Returns the square root of each element. | |
ml_matrix | exp (const ml_matrix &x) |
Calls the std::exp() function on each element in the matrix. | |
ml_matrix | expm1 (const ml_matrix &x) |
Calls the std::expm1() function on each element in the matrix. | |
ml_matrix | log (const ml_matrix &x) |
Calls the std::log() function on each element in the matrix. | |
ml_matrix | log10 (const ml_matrix &x) |
Calls the std::log10() function on each element in the matrix. | |
ml_matrix | log1p (const ml_matrix &x) |
Calls the std::log1p() function on each element in the matrix. | |
ml_matrix | log2 (const ml_matrix &x) |
Calls the std::log2() function on each element in the matrix. | |
ml_matrix | logb (const ml_matrix &x) |
Calls the std::logb() function on each element in the matrix. | |
ml_matrix | transpose (const ml_matrix &m) |
Transposes the matrix. | |
ml_matrix | inv (const ml_matrix &m) |
Finds the inverse of the matrix. Principally used for matrix division. | |
ml_matrix | mpow (const ml_matrix &m, int n) |
Raises the matrix m to the power n. | |
ml_matrix | cross (const ml_matrix &m, const ml_matrix &y) |
Crosses the two matrices. | |
ml_matrix | unit (const ml_matrix &m) |
Makes each column into a row vector. | |
ml_matrix | sign (const ml_matrix &m) |
Changes all positive elements into 1, all negative elements into -1. | |
ml_matrix | svd (ml_matrix &u, ml_matrix &v, const ml_matrix &a) |
Returns the singular value decomposition of the third matrix. | |
ml_matrix | vunit (const ml_matrix &m) |
Converts the matrix into a unit vector. | |
ml_matrix | solve_ax_eq_b (const ml_matrix &a, const ml_matrix &b) |
Solve AX=B. | |
bool | simplex (ml_matrix &x, ml_matrix c, ml_matrix a, ml_matrix b, double max_val) |
Uses the simplex method to minimize the cost when solving the problem au = b and the cost is cu. | |
void | simplex2 (ml_matrix a, ml_matrix c, ml_matrix &x, ml_int_array &s, ml_int_array &g, ml_int_array &gu, ml_matrix &b_inv, double max_val) |
Computes the solution to the simplex problem with an optional maximum constraint. | |
ml_matrix | sin (const ml_matrix &x) |
Returns the element by element sin of the matrix. | |
ml_matrix | cos (const ml_matrix &x) |
Returns the element by element cosine of the matrix. | |
ml_matrix | tan (const ml_matrix &x) |
Returns the element by element tangent of the matrix. | |
ml_matrix | csc (const ml_matrix &x) |
Returns the element by element cosecant of the matrix. | |
ml_matrix | sec (const ml_matrix &x) |
Returns the element by element secant of the matrix. | |
ml_matrix | cot (const ml_matrix &x) |
Returns the element by element cotangent of the matrix. | |
ml_matrix | asin (const ml_matrix &x) |
Returns the element by element arcsine of the matrix. | |
ml_matrix | acos (const ml_matrix &x) |
Returns the element by element arccosine of the matrix. | |
ml_matrix | atan (const ml_matrix &x) |
Returns the element by element arctangent of the matrix. | |
ml_matrix | acsc (const ml_matrix &x) |
Returns the element by element arccosecant of the matrix. | |
ml_matrix | asec (const ml_matrix &x) |
Returns the element by element arcsecant of the matrix. | |
ml_matrix | acot (const ml_matrix &x) |
Returns the element by element arccotangent of the matrix. | |
ml_matrix | atan2 (const ml_matrix &x, const ml_matrix &y) |
Returns the element by element arctangent"2" of the matrix with respect to the 2nd matrix. | |
ml_matrix | sinh (const ml_matrix &x) |
Returns the element by element hyperbolic sine of the matrix. | |
ml_matrix | cosh (const ml_matrix &x) |
Returns the element by element hyperbolic cosine of the matrix. | |
ml_matrix | tanh (const ml_matrix &x) |
Returns the element by element hyperbolic tangent of the matrix. | |
ml_matrix | csch (const ml_matrix &x) |
Returns the element by element hyperbolic cosecant of the matrix. | |
ml_matrix | sech (const ml_matrix &x) |
Returns the element by element hyperbolic secant of the matrix. | |
ml_matrix | coth (const ml_matrix &x) |
Returns the element by element hyperbolic cotangent of the matrix. | |
ml_matrix | asinh (const ml_matrix &x) |
Returns the element by element hyperbolic arcsine of the matrix. | |
ml_matrix | acosh (const ml_matrix &x) |
Returns the element by element hyperbolic arccosine of the matrix. | |
ml_matrix | atanh (const ml_matrix &x) |
Returns the element by element hyperbolic arctangent of the matrix. | |
ml_matrix | acsch (const ml_matrix &x) |
Returns the element by element hyperbolic arccosecant of the matrix. | |
ml_matrix | asech (const ml_matrix &x) |
Returns the element by element hyperbolic arcsecant of the matrix. | |
ml_matrix | acoth (const ml_matrix &x) |
Returns the element by element hyperbolic arccotangent of the matrix. |
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