Floating point functions at x=0

Floating point special functions about a point.

boring_math.special_functions.float0.exp0(x: float, /, n: int = 22) → float

Partially factored Taylor expansion of exp about x = 0.

Note

Best if -1 <= x <= 1.

Parameters:

• x – independent variable

• n – terms in expansion, must have n >= 20

Returns:

Taylor series expansion of eˣ centered at x = 0

boring_math.special_functions.float0.sin0(x: float, /, n: int = 22) → float

Partially factored Taylor expansion of sine about x = 0.

Note

Best if -2π <= x <= 2π.

Parameters:

• x – angle in radians

• n – terms in expansion, must have 2 <= n <= 20

Returns:

Taylor series expansion of sine(x) centered at x = 0

boring_math.special_functions.float0.cos0(x: float, /, n: int = 22) → float

Partially factored Taylor expansion of cosine about x = 0.

Note

Best if -2π <= x <= 2π.

Parameters:

• x – angle in radians

• n – terms in expansion, must have 2 <= n <= 20

Returns:

Taylor series expansion of cosine(x) centered at x = 0

boring_math.special_functions.float0.tan0(x: float, /, n: int = 22) → float

Tangent centered about x = 0.

Note

Best if -π <= x <= π.

Parameters:

• x – angle in radians

• n – terms in expansion, must have 2 <= n <= 20

Returns:

sin0(x)/cos0(x)