Mathematical functionsΒΆ

CTMM_EXPORT ctmm_complex ctmm_complex_set(double re, double im)

returns ctmm_complex number re + im*I.

The exact definition of this function varies depending on if a C99 compliant compiler is available.

Parameters

  • re: real part of complex number re + im*I

  • im: imaginary part of complex number re + im*I

CTMM_EXPORT ctmm_complex ctmm_complex_mul_real(ctmm_complex z, double x)

multiplies ctmm_complex by real number

Return

ctmm_complex z*x

Parameters

  • z: complex number

  • x: real number

CTMM_EXPORT ctmm_complex ctmm_complex_add_real(ctmm_complex z, double x)

add ctmm_complex to real number

Return

ctmm_complex z + x

Parameters

  • z: complex number

  • x: real number

CTMM_EXPORT ctmm_complex ctmm_complex_mul(ctmm_complex z1, ctmm_complex z2)

multiplies two ctmm_complex numbers

Return

ctmm_complex z1*z2

Parameters

  • z1: complex number

  • z2: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_sub(ctmm_complex z1, ctmm_complex z2)

subtracts one ctmm_complex from another

Return

ctmm_complex z1 - z2

Parameters

  • z1: complex number

  • z2: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_add(ctmm_complex z1, ctmm_complex z2)

adds one ctmm_complex to another

Return

ctmm_complex z1 + z2

Parameters

  • z1: complex number

  • z2: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_div(ctmm_complex z1, ctmm_complex z2)

divides one ctmm_complex by another

Return

ctmm_complex z1/z2

Parameters

  • z1: complex number

  • z2: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_sqrt(ctmm_complex z)

calculates square root of ctmm_complex

Return

ctmm_complex sqrt(z)

Parameters

  • z: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_exp(ctmm_complex z)

calculates e to the power ctmm_complex

Return

ctmm_complex e^z

Parameters

  • z: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_conj(ctmm_complex z)

calculates complex conjugate of ctmm_complex

Return

ctmm_complex conj(z)

Parameters

  • z: complex number

CTMM_EXPORT ctmm_complex ctmm_complex_inv(ctmm_complex z)

calculates inverse of ctmm_complex

Return

ctmm_complex 1/z

Parameters

  • z: complex number

CTMM_EXPORT double ctmm_complex_abs2(ctmm_complex z)

calculates absolute value squared of ctmm_complex

Return

ctmm_complex |z|^2

Parameters

  • z: complex number

CTMM_EXPORT double ctmm_complex_arg(ctmm_complex z)

calculates argument of ctmm_complex

Return

ctmm_complex atan2(Im(z), Re(z))

Parameters

  • z: complex number

CTMM_EXPORT void ctmm_matrix_set(ctmm_matrix * mat, unsigned int row, unsigned int col, ctmm_complex val)

sets matrix value mat[row][col] to val

Parameters

  • mat: pointer to matrix

  • row: row

  • col: column

  • val: complex value of mat[row][col]

CTMM_EXPORT ctmm_complex ctmm_matrix_get(ctmm_matrix * mat, unsigned int row, unsigned int col)

gets matrix value mat[row][col]

Return

ctmm_complex value of mat[row][col]

Parameters

  • mat: pointer to matrix

  • row: row

  • col: column

CTMM_EXPORT void ctmm_matrix_mul(ctmm_matrix * mat1, ctmm_matrix * mat2, ctmm_matrix * res)

multiplies two ctmm matrices and sets result res = mat1*mat2

Parameters

  • mat1: pointer to matrix1

  • mat1: pointer to matrix2

  • res: pointer to result matrix