Modern Math Angle

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Angle

Returns the angle between two vectors in radians, from 0 to pi.

Syntax

Angle( byref a as Vec3, byref b as Vec3 ) as float32

Notes

• Always in 0 .. pi -- it is the unsigned angle, so it cannot say which way round.
• Computed through a clamped arc cosine, so a dot product that floating point pushed just past 1 does not produce a NaN.
• RadToDeg converts it for display.

Examples

#import "std/numeric"
using numeric

dim as Vec3 x = type<Vec3>( 1, 0, 0 ), y = type<Vec3>( 0, 1, 0 )

print Angle( x, y )          '' 1.570796 -- a right angle in radians

'' Clamped internally, so parallel vectors give exactly 0 rather than a
'' NaN from an arc cosine of 1.0000001
print Angle( x, x )          '' 0

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Library: Math Library
Category: Math Library
Documented under: Members