LSSTApplications
19.0.0-14-gb0260a2+72efe9b372,20.0.0+7927753e06,20.0.0+8829bf0056,20.0.0+995114c5d2,20.0.0+b6f4b2abd1,20.0.0+bddc4f4cbe,20.0.0-1-g253301a+8829bf0056,20.0.0-1-g2b7511a+0d71a2d77f,20.0.0-1-g5b95a8c+7461dd0434,20.0.0-12-g321c96ea+23efe4bbff,20.0.0-16-gfab17e72e+fdf35455f6,20.0.0-2-g0070d88+ba3ffc8f0b,20.0.0-2-g4dae9ad+ee58a624b3,20.0.0-2-g61b8584+5d3db074ba,20.0.0-2-gb780d76+d529cf1a41,20.0.0-2-ged6426c+226a441f5f,20.0.0-2-gf072044+8829bf0056,20.0.0-2-gf1f7952+ee58a624b3,20.0.0-20-geae50cf+e37fec0aee,20.0.0-25-g3dcad98+544a109665,20.0.0-25-g5eafb0f+ee58a624b3,20.0.0-27-g64178ef+f1f297b00a,20.0.0-3-g4cc78c6+e0676b0dc8,20.0.0-3-g8f21e14+4fd2c12c9a,20.0.0-3-gbd60e8c+187b78b4b8,20.0.0-3-gbecbe05+48431fa087,20.0.0-38-ge4adf513+a12e1f8e37,20.0.0-4-g97dc21a+544a109665,20.0.0-4-gb4befbc+087873070b,20.0.0-4-gf910f65+5d3db074ba,20.0.0-5-gdfe0fee+199202a608,20.0.0-5-gfbfe500+d529cf1a41,20.0.0-6-g64f541c+d529cf1a41,20.0.0-6-g9a5b7a1+a1cd37312e,20.0.0-68-ga3f3dda+5fca18c6a4,20.0.0-9-g4aef684+e18322736b,w.2020.45
LSSTDataManagementBasePackage
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NormalizedAngle
is an angle that lies in the range [0, 2π), with one exception - a NormalizedAngle can be NaN.
More...
#include <NormalizedAngle.h>
Public Member Functions | |
NormalizedAngle () | |
This constructor creates a NormalizedAngle with a value of zero. More... | |
NormalizedAngle (NormalizedAngle const &a) | |
This constructor creates a copy of a. More... | |
NormalizedAngle (Angle const &a) | |
This constructor creates a normalized copy of a. More... | |
NormalizedAngle (double a) | |
This constructor creates a NormalizedAngle with the given value in radians, normalized to be in the range [0, 2π). More... | |
NormalizedAngle (LonLat const &, LonLat const &) | |
This constructor creates a NormalizedAngle equal to the angle between the given points on the unit sphere. More... | |
NormalizedAngle (Vector3d const &, Vector3d const &) | |
This constructor creates a NormalizedAngle equal to the angle between the given 3-vectors, which need not have unit norm. More... | |
operator Angle const & () const | |
This conversion operator returns a const reference to the underlying Angle. More... | |
bool | operator== (Angle const &a) const |
bool | operator!= (Angle const &a) const |
bool | operator< (Angle const &a) const |
bool | operator> (Angle const &a) const |
bool | operator<= (Angle const &a) const |
bool | operator>= (Angle const &a) const |
Angle | operator- () const |
Angle | operator+ (Angle const &a) const |
Angle | operator- (Angle const &a) const |
Angle | operator* (double a) const |
Angle | operator/ (double a) const |
double | operator/ (Angle const &a) const |
double | asDegrees () const |
asDegrees returns the value of this angle in units of degrees. More... | |
double | asRadians () const |
asRadians returns the value of this angle in units of radians. More... | |
bool | isNan () const |
isNan returns true if the angle value is NaN. More... | |
NormalizedAngle | getAngleTo (NormalizedAngle const &a) const |
getAngleTo computes the angle α ∈ [0, 2π) such that adding α to this angle and then normalizing the result yields a . More... | |
Static Public Member Functions | |
static NormalizedAngle | nan () |
static NormalizedAngle | fromDegrees (double a) |
static NormalizedAngle | fromRadians (double a) |
static NormalizedAngle | between (NormalizedAngle const &a, NormalizedAngle const &b) |
For two angles a and b, between(a, b) returns the smaller of a.getAngleTo(b) and b.getAngleTo(a) . More... | |
static NormalizedAngle | center (NormalizedAngle const &a, NormalizedAngle const &b) |
For two normalized angles a and b, center(a, b) returns the angle m such that a.getAngleTo(m) is equal to m.getAngleTo(b) . More... | |
NormalizedAngle
is an angle that lies in the range [0, 2π), with one exception - a NormalizedAngle can be NaN.
Definition at line 41 of file NormalizedAngle.h.
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This constructor creates a NormalizedAngle with a value of zero.
Definition at line 71 of file NormalizedAngle.h.
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inlineexplicit |
This constructor creates a normalized copy of a.
Definition at line 77 of file NormalizedAngle.h.
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This constructor creates a NormalizedAngle with the given value in radians, normalized to be in the range [0, 2π).
Definition at line 83 of file NormalizedAngle.h.
This constructor creates a NormalizedAngle equal to the angle between the given points on the unit sphere.
Definition at line 59 of file NormalizedAngle.cc.
This constructor creates a NormalizedAngle equal to the angle between the given 3-vectors, which need not have unit norm.
Definition at line 80 of file NormalizedAngle.cc.
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asDegrees
returns the value of this angle in units of degrees.
Definition at line 125 of file NormalizedAngle.h.
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asRadians
returns the value of this angle in units of radians.
Definition at line 128 of file NormalizedAngle.h.
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For two angles a and b, between(a, b)
returns the smaller of a.getAngleTo(b)
and b.getAngleTo(a)
.
The result will be in the range [0, π].
If one interprets an angle in [0, 2π) as a point on the unit circle, then between
can be thought of as computing the arc length of the shortest unit circle segment between the points for a and b.
Definition at line 35 of file NormalizedAngle.cc.
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For two normalized angles a and b, center(a, b)
returns the angle m such that a.getAngleTo(m)
is equal to m.getAngleTo(b)
.
Definition at line 45 of file NormalizedAngle.cc.
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inlinestatic |
Definition at line 47 of file NormalizedAngle.h.
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inlinestatic |
Definition at line 51 of file NormalizedAngle.h.
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getAngleTo
computes the angle α ∈ [0, 2π) such that adding α to this angle and then normalizing the result yields a
.
If one interprets an angle in [0, 2π) as a point on the unit circle, then this method can be thought of as computing the positive rotation angle required to map this point to a
.
Definition at line 139 of file NormalizedAngle.h.
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inlinestatic |
Definition at line 43 of file NormalizedAngle.h.
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This conversion operator returns a const reference to the underlying Angle.
It allows a NormalizedAngle to transparently replace an Angle as an argument in most function calls.
Definition at line 106 of file NormalizedAngle.h.
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Definition at line 110 of file NormalizedAngle.h.
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Definition at line 120 of file NormalizedAngle.h.
Definition at line 118 of file NormalizedAngle.h.
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Definition at line 117 of file NormalizedAngle.h.
Definition at line 119 of file NormalizedAngle.h.
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Definition at line 122 of file NormalizedAngle.h.
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Definition at line 121 of file NormalizedAngle.h.
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Definition at line 111 of file NormalizedAngle.h.
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Definition at line 113 of file NormalizedAngle.h.
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Definition at line 109 of file NormalizedAngle.h.
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Definition at line 112 of file NormalizedAngle.h.
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Definition at line 114 of file NormalizedAngle.h.