 float2[Class Summary] |
 x |
| y |
| zero[static][const] |
| one[static][const] |
| unitX[static][const] |
| unitY[static][const] |
| nan[static][const] |
| inf[static][const] |
 ctor (+3 overloads) |
| ptr() (+1 overload) |
 operator[](index) (+1 overload) |
| At(index) (+1 overload) |
| operators +,-,*,/(v)[const] (+1 overload) |
| operators +=,-=,*=,/=(v) |
| Add/Sub/Mul/Div(v)[const] (+1 overload) |
| xx/xy/yx/yy()[const] |
| Swizzled(i,j,k,l)[const] (+2 overloads) |
| SetFromScalar(scalar) |
| Set(x,y) |
| SetFromPolarCoordinates(theta,length) (+1 overload) |
| ToPolarCoordinates()[const] |
| AimedAngle()[const] |
| Length()[const] |
| LengthSq()[const] |
| Normalize() |
| Normalized()[const] |
| ScaleToLength(newLength) |
| ScaledToLength(newLength)[const] |
| IsNormalized(epsilonSq)[const] |
| IsZero(epsilonSq)[const] |
| IsFinite()[const] |
| IsPerpendicular(other,epsilonSq)[const] |
| Equals(other,epsilon)[const] (+1 overload) |
| BitEquals(other)[const] |
| ToString()[const] |
| SerializeToString()[const] |
| SerializeToCodeString()[const] |
| SumOfElements()[const] |
| ProductOfElements()[const] |
| AverageOfElements()[const] |
| MinElement()[const] |
| MinElementIndex()[const] |
| MaxElement()[const] |
| MaxElementIndex()[const] |
| Abs()[const] |
| Neg()[const] |
| Recip()[const] |
| Min(ceil)[const] (+1 overload) |
| Max(floor)[const] (+1 overload) |
| Clamp(floor,ceil)[const] (+1 overload) |
| Clamp01()[const] |
| Distance(point)[const] |
| DistanceSq(point)[const] |
| Dot(v)[const] |
| Perp()[const] |
| PerpDot(rhs)[const] |
| Rotate90CW() |
| Rotated90CW()[const] |
| Rotate90CCW() |
| Rotated90CCW()[const] |
| Reflect(normal)[const] |
| Refract(...)[const] |
| ProjectTo(direction)[const] |
| ProjectToNorm(direction)[const] |
| AngleBetween(other)[const] |
| AngleBetweenNorm(normalizedVector)[const] |
| Decompose(...)[const] |
| Lerp(b,t)[const] |
| FromScalar(scalar)[static] |
| FromPolarCoordinates(theta,length)[static] (+1 overload) |
| FromString(str,outEndStr)[static] (+1 overload) |
| Lerp(a,b,t)[static] |
| Orthogonalize(a,b)[static] |
| AreOrthogonal(a,b,epsilon)[static] |
| Orthonormalize(a,b)[static] |
| OrientedCCW(a,b,c)[static] |
| ConvexHull(...)[static] |
| ConvexHullInPlace(...)[static] |
| ConvexHullContains(...)[static] |
| MinAreaRectInPlace(...)[static] |
| RandomDir(lcg,length)[static] |
| RandomBox(...)[static] |
float2::Orthonormalize
Syntax
void float2::Orthonormalize(float2 &a, float2 &b); [6 lines of code]Makes the given vectors linearly independent and normalized in length.
This function directly follows the Gram-Schmidt procedure on the input vectors. The vector a is first normalized, and vector b is modified to be perpendicular to a, and also normalized.
Note
If either of the input vectors is zero, then the resulting set of vectors cannot be made orthonormal.