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type Int26_6 ¶
Int26_6 is a signed 26.6 fixed-point number.
The integer part ranges from -33554432 to 33554431, inclusive. The fractional part has 6 bits of precision.
For example, the number one-and-a-quarter is Int26_6(1<<6 + 1<<4).
type Int26_6 int32
func I ¶
func I(i int) Int26_6
I returns the integer value i as an Int26_6.
For example, passing the integer value 2 yields Int26_6(128).
func (Int26_6) Ceil ¶
func (x Int26_6) Ceil() int
Ceil returns the least integer value greater than or equal to x.
Its return type is int, not Int26_6.
func (Int26_6) Floor ¶
func (x Int26_6) Floor() int
Floor returns the greatest integer value less than or equal to x.
Its return type is int, not Int26_6.
func (Int26_6) Mul ¶
func (x Int26_6) Mul(y Int26_6) Int26_6
Mul returns x*y in 26.6 fixed-point arithmetic.
func (Int26_6) Round ¶
func (x Int26_6) Round() int
Round returns the nearest integer value to x. Ties are rounded up.
Its return type is int, not Int26_6.
func (Int26_6) String ¶
func (x Int26_6) String() string
String returns a human-readable representation of a 26.6 fixed-point number.
For example, the number one-and-a-quarter becomes "1:16".
type Int52_12 ¶
Int52_12 is a signed 52.12 fixed-point number.
The integer part ranges from -2251799813685248 to 2251799813685247, inclusive. The fractional part has 12 bits of precision.
For example, the number one-and-a-quarter is Int52_12(1<<12 + 1<<10).
type Int52_12 int64
func (Int52_12) Ceil ¶
func (x Int52_12) Ceil() int
Ceil returns the least integer value greater than or equal to x.
Its return type is int, not Int52_12.
func (Int52_12) Floor ¶
func (x Int52_12) Floor() int
Floor returns the greatest integer value less than or equal to x.
Its return type is int, not Int52_12.
func (Int52_12) Mul ¶
func (x Int52_12) Mul(y Int52_12) Int52_12
Mul returns x*y in 52.12 fixed-point arithmetic.
func (Int52_12) Round ¶
func (x Int52_12) Round() int
Round returns the nearest integer value to x. Ties are rounded up.
Its return type is int, not Int52_12.
func (Int52_12) String ¶
func (x Int52_12) String() string
String returns a human-readable representation of a 52.12 fixed-point number.
For example, the number one-and-a-quarter becomes "1:1024".
type Point26_6 ¶
Point26_6 is a 26.6 fixed-point coordinate pair.
It is analogous to the image.Point type in the standard library.
type Point26_6 struct {
X, Y Int26_6
}
func P ¶
func P(x, y int) Point26_6
P returns the integer values x and y as a Point26_6.
For example, passing the integer values (2, -3) yields Point26_6{128, -192}.
func (Point26_6) Add ¶
func (p Point26_6) Add(q Point26_6) Point26_6
Add returns the vector p+q.
func (Point26_6) Div ¶
func (p Point26_6) Div(k Int26_6) Point26_6
Div returns the vector p/k.
func (Point26_6) In ¶
func (p Point26_6) In(r Rectangle26_6) bool
In returns whether p is in r.
func (Point26_6) Mul ¶
func (p Point26_6) Mul(k Int26_6) Point26_6
Mul returns the vector p*k.
func (Point26_6) Sub ¶
func (p Point26_6) Sub(q Point26_6) Point26_6
Sub returns the vector p-q.
type Point52_12 ¶
Point52_12 is a 52.12 fixed-point coordinate pair.
It is analogous to the image.Point type in the standard library.
type Point52_12 struct {
X, Y Int52_12
}
func (Point52_12) Add ¶
func (p Point52_12) Add(q Point52_12) Point52_12
Add returns the vector p+q.
func (Point52_12) Div ¶
func (p Point52_12) Div(k Int52_12) Point52_12
Div returns the vector p/k.
func (Point52_12) In ¶
func (p Point52_12) In(r Rectangle52_12) bool
In returns whether p is in r.
func (Point52_12) Mul ¶
func (p Point52_12) Mul(k Int52_12) Point52_12
Mul returns the vector p*k.
func (Point52_12) Sub ¶
func (p Point52_12) Sub(q Point52_12) Point52_12
Sub returns the vector p-q.
type Rectangle26_6 ¶
Rectangle26_6 is a 26.6 fixed-point coordinate rectangle. The Min bound is inclusive and the Max bound is exclusive. It is well-formed if Min.X <= Max.X and likewise for Y.
It is analogous to the image.Rectangle type in the standard library.
type Rectangle26_6 struct {
Min, Max Point26_6
}
func R ¶
func R(minX, minY, maxX, maxY int) Rectangle26_6
R returns the integer values minX, minY, maxX, maxY as a Rectangle26_6.
For example, passing the integer values (0, 1, 2, 3) yields Rectangle26_6{Point26_6{0, 64}, Point26_6{128, 192}}.
Like the image.Rect function in the standard library, the returned rectangle has minimum and maximum coordinates swapped if necessary so that it is well-formed.
func (Rectangle26_6) Add ¶
func (r Rectangle26_6) Add(p Point26_6) Rectangle26_6
Add returns the rectangle r translated by p.
func (Rectangle26_6) Empty ¶
func (r Rectangle26_6) Empty() bool
Empty returns whether the rectangle contains no points.
func (Rectangle26_6) In ¶
func (r Rectangle26_6) In(s Rectangle26_6) bool
In returns whether every point in r is in s.
func (Rectangle26_6) Intersect ¶
func (r Rectangle26_6) Intersect(s Rectangle26_6) Rectangle26_6
Intersect returns the largest rectangle contained by both r and s. If the two rectangles do not overlap then the zero rectangle will be returned.
func (Rectangle26_6) Sub ¶
func (r Rectangle26_6) Sub(p Point26_6) Rectangle26_6
Sub returns the rectangle r translated by -p.
func (Rectangle26_6) Union ¶
func (r Rectangle26_6) Union(s Rectangle26_6) Rectangle26_6
Union returns the smallest rectangle that contains both r and s.
type Rectangle52_12 ¶
Rectangle52_12 is a 52.12 fixed-point coordinate rectangle. The Min bound is inclusive and the Max bound is exclusive. It is well-formed if Min.X <= Max.X and likewise for Y.
It is analogous to the image.Rectangle type in the standard library.
type Rectangle52_12 struct {
Min, Max Point52_12
}
func (Rectangle52_12) Add ¶
func (r Rectangle52_12) Add(p Point52_12) Rectangle52_12
Add returns the rectangle r translated by p.
func (Rectangle52_12) Empty ¶
func (r Rectangle52_12) Empty() bool
Empty returns whether the rectangle contains no points.
func (Rectangle52_12) In ¶
func (r Rectangle52_12) In(s Rectangle52_12) bool
In returns whether every point in r is in s.
func (Rectangle52_12) Intersect ¶
func (r Rectangle52_12) Intersect(s Rectangle52_12) Rectangle52_12
Intersect returns the largest rectangle contained by both r and s. If the two rectangles do not overlap then the zero rectangle will be returned.
func (Rectangle52_12) Sub ¶
func (r Rectangle52_12) Sub(p Point52_12) Rectangle52_12
Sub returns the rectangle r translated by -p.
func (Rectangle52_12) Union ¶
func (r Rectangle52_12) Union(s Rectangle52_12) Rectangle52_12
Union returns the smallest rectangle that contains both r and s.