Collaboration diagram for Linear Equations:

Functions
tpt_status	tpt_linear_equation_f32 (f32_t aOutMat, f32_t aInMat, uint32_t aN, f32_t *aB)
	Floating-point linear equations.
tpt_status	tpt_linear_equation_f64 (f64_t aOutMat, f64_t aInMat, uint16_t aN, f64_t *aB)
	Floating-point linear equations.

Detailed Description

This function calculates the linear equations

    a11 * x1 + a12 * x2 + ... + a1n * xn = b1
    a21 * x1 + a22 * x2 + ... + a2n * xn = b2
    ......
    an1 * x1 + an2 * x2 + ... + ann * xn = bn

Linear equations is numerically sensitive and the DSP library only supports linear equations of floating-point data type.

The input matrix is N * N coefficient matrix.
The input vector is constant column vector.
The output vector is the solutions of equations.
If the input matrix is singular, then the algorithm terminates and returns error status TPT_MATH_SINGULAR.

Function Documentation

◆ tpt_linear_equation_f32()

tpt_status tpt_linear_equation_f32	(	f32_t *	aOutMat,
		f32_t *	aInMat,
		uint32_t	aN,
		f32_t *	aB )

Floating-point linear equations.

Parameters

[out]	aOutMat	points to solutions of equations.
[in]	aInMat	points to input coefficient matrix. The source matrix is modified by the function.
[in]	aN	order of coefficient matrix.
[in]	aB	points to constant column vector.

Returns

execution status

TPT_MATH_SUCCESS : Operation is successful.
TPT_MATH_SINGULAR : Input matrix is singular.

◆ tpt_linear_equation_f64()

tpt_status tpt_linear_equation_f64	(	f64_t *	aOutMat,
		f64_t *	aInMat,
		uint16_t	aN,
		f64_t *	aB )