Regina Calculation Engine
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A fast class for storing a ray rooted at the origin that passes through an integer point. More...
#include <maths/ray.h>
Public Member Functions | |
Ray (size_t length) | |
Creates a new ray all of whose coordinates are initialised to zero. More... | |
Ray (const Vector< LargeInteger > &cloneMe) | |
Creates a new ray that is a clone of the given ray. More... | |
void | scaleDown () |
Scales this vector down by the greatest common divisor of all its elements. More... | |
void | negate () |
Negates every element of this vector. More... | |
size_t | size () const |
Returns the number of elements in the vector. More... | |
const LargeInteger & | operator[] (size_t index) const |
Returns the element at the given index in the vector. More... | |
void | setElement (size_t index, const LargeInteger &value) |
Sets the element at the given index in the vector to the given value. More... | |
bool | operator== (const Vector< LargeInteger > &compare) const |
Determines if this vector is equal to the given vector. More... | |
void | operator+= (const Vector< LargeInteger > &other) |
Adds the given vector to this vector. More... | |
void | operator-= (const Vector< LargeInteger > &other) |
Subtracts the given vector from this vector. More... | |
void | operator*= (const LargeInteger &factor) |
Multiplies this vector by the given scalar. More... | |
LargeInteger | operator* (const Vector< LargeInteger > &other) const |
Calculates the dot product of this vector and the given vector. More... | |
LargeInteger | norm () const |
Returns the norm of this vector. More... | |
LargeInteger | elementSum () const |
Returns the sum of all elements of this vector. More... | |
void | addCopies (const Vector< LargeInteger > &other, const LargeInteger &multiple) |
Adds the given multiple of the given vector to this vector. More... | |
void | subtractCopies (const Vector< LargeInteger > &other, const LargeInteger &multiple) |
Subtracts the given multiple of the given vector to this vector. More... | |
Static Public Attributes | |
static LargeInteger | zero |
Zero in the underlying number system. More... | |
static LargeInteger | one |
One in the underlying number system. More... | |
static LargeInteger | minusOne |
Negative one in the underlying number system. More... | |
Protected Attributes | |
LargeInteger * | elements |
The internal array containing all vector elements. More... | |
LargeInteger * | end |
A pointer just beyond the end of the internal array. More... | |
A fast class for storing a ray rooted at the origin that passes through an integer point.
Such a ray is a half-line beginning at the origin, and is represented by some integer point that it passes through. Positive scalar multiples of a ray are considered to represent the same ray.
This class is intended for serious computation, and as a result it has a streamlined implementation with no virtual methods. It can be subclassed, but since there are no virtual methods, type information must generally be known at compile time. Nevertheless, in many respects, different subclasses of Ray can happily interact with one another.
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inlineinherited |
Adds the given multiple of the given vector to this vector.
This behaves correctly in the case where other is this
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other | the vector a multiple of which will be added to this vector. |
multiple | the multiple of other to be added to this vector. |
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inlineinherited |
Returns the sum of all elements of this vector.
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inlineinherited |
Returns the norm of this vector.
This is the dot product of the vector with itself.
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inlineinherited |
Calculates the dot product of this vector and the given vector.
other | the vector with which this will be multiplied. |
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inlineinherited |
Multiplies this vector by the given scalar.
factor | the scalar with which this will be multiplied. |
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inlineinherited |
Adds the given vector to this vector.
This behaves correctly in the case where other is this
.
other | the vector to add to this vector. |
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inlineinherited |
Subtracts the given vector from this vector.
This behaves correctly in the case where other is this
.
other | the vector to subtract from this vector. |
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inlineinherited |
Determines if this vector is equal to the given vector.
compare | the vector with which this will be compared. |
true
if and only if the this and the given vector are equal.
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inlineinherited |
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inlineinherited |
Sets the element at the given index in the vector to the given value.
index
is between 0 and size()-1 inclusive.index | the vector index to examine. |
value | the new value to assign to the element. |
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inlineinherited |
Returns the number of elements in the vector.
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inlineinherited |
Subtracts the given multiple of the given vector to this vector.
This behaves correctly in the case where other is this
.
other | the vector a multiple of which will be subtracted from this vector. |
multiple | the multiple of other to be subtracted from this vector. |
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protectedinherited |
The internal array containing all vector elements.
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protectedinherited |
A pointer just beyond the end of the internal array.
The size of the vector can be computed as (end - elements).
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staticinherited |
Negative one in the underlying number system.
This would be const
if it weren't for the fact that some compilers don't like this. It should never be modified!
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staticinherited |
One in the underlying number system.
This would be const
if it weren't for the fact that some compilers don't like this. It should never be modified!
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staticinherited |
Zero in the underlying number system.
This would be const
if it weren't for the fact that some compilers don't like this. It should never be modified!