PenguinEncounter: PenguinEncounter moved page Vector/Operators to Template:Main:Vector/Operators: trying to get this out of the search results

2024-10-29T23:40:25Z

PenguinEncounter moved page Vector/Operators to Template:Main:Vector/Operators: trying to get this out of the search results

← Older revision		Revision as of 23:40, 29 October 2024
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PenguinEncounter: Formatting!

2024-10-29T05:00:19Z

Formatting!

← Older revision		Revision as of 05:00, 29 October 2024
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	----		----

	Returns the number of components in this vector {{#if:{{{Size\|}}}\|({{{Size}}})\|.}}		Returns the number of components in this vector{{#if:{{{Size\|}}}\| ({{{Size}}})\|.}}

	{\| class="wikitable"		{\| class="wikitable"

PenguinEncounter: /* # (operator) */ that period looks weird

2024-10-29T04:58:44Z

# (operator): that period looks weird

← Older revision		Revision as of 04:58, 29 October 2024
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	----		----

	Returns the number of components in this vector {{#if:{{{Size\|}}}\|({{{Size}}}.)\|.}}		Returns the number of components in this vector {{#if:{{{Size\|}}}\|({{{Size}}})\|.}}

	{\| class="wikitable"		{\| class="wikitable"

PenguinEncounter: PenguinEncounter moved page User:PenguinEncounter/Vector/Operators to Vector/Operators: Move to mainspace from user draft

2024-10-29T03:19:18Z

PenguinEncounter moved page User:PenguinEncounter/Vector/Operators to Vector/Operators: Move to mainspace from user draft

← Older revision		Revision as of 03:19, 29 October 2024
(No difference)

PenguinEncounter: Created page with "Lua operators, such as `+`, `-`, and `*`, apply to vectors and have different results. ==== + (operator) ==== ===== With two vectors ===== ---- Adds the values from this vector and another vector of the same size. The result is a ''new'' vector of the same size which holds the sum. {| class="wikitable" ! Left !! Right !! Result |- | {{type|{{{T|Vector}}}}} | {{type|{{{T|Vector}}}}} | new {{type|{{{T|Vecto..."

2024-10-29T02:54:54Z

Created page with "Lua operators, such as <code>+</code>, <code>-</code>, and <code>*</code>, apply to vectors and have different results. ==== + (operator) ==== ===== With two vectors ===== ---- Adds the values from this vector and another vector of the same size. The result is a ''new'' vector of the same size which holds the sum. {| class="wikitable" ! Left !! Right !! Result |- | {{type|{{{T|Vector}}}}} | {{type|{{{T|Vector}}}}} | new {{type|{{{T|Vecto..."

New page

Lua operators, such as <code>+</code>, <code>-</code>, and <code>*</code>, apply to vectors and have different results.

==== + (operator) ====
===== With two vectors =====
----

Adds the values from this vector and another vector of the same size. The result is a ''new'' vector of the same size which holds the sum.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

<syntaxhighlight lang="lua">
local a = vec(1, 2, 3)
local b = vec(4, 4, 6)
print(a + b, a, b) -- {5, 6, 9} {1, 2, 3} {4, 4, 6}
</syntaxhighlight>

===== With a vector and number =====
{{Hatnote|Operator is commutative and has the same result regardless of order.}}

The result is a new vector of the same size which holds the result of adding the number to all components of this vector.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|number}}
| new {{type|{{{T|Vector}}}}}
|-
| {{type|number}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

==== - (operator) ====
===== As a unary operator =====
----

Returns a new vector of the same size, but all the components negated. Effectively the same as <code>[[#meta_mul_vn|*]] -1</code>.

{| class="wikitable"
! Operand !! Result
|-
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

===== With two vectors =====
----
{{Sidebox
|Performs [[wikipedia:Euclidean vector#Addition and subtraction|vector subtraction]] with another vector, and creates a new vector from the result.
|Mathematical definition
}}

Subtracts the right vector from the left vector. The result is a ''new'' vector of the same size which holds the difference.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

<syntaxhighlight lang="lua">
local a = vec(1, 2, 3)
local b = vec(4, 4, 6)
print(b - a, a, b) -- {3, 2, 3} {1, 2, 3} {4, 4, 6}
</syntaxhighlight>

===== With a vector and a number =====
{{Hatnote|Only applies when the number is on the '''right''' side of the operator.}}

Returns a new vector of the same size containing the result of subtracting the number from all components of the vector.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|number}}
| new {{type|{{{T|Vector}}}}}
|}

===== With a number and a vector =====
{{Hatnote|Only applies when the number is on the '''left''' side of the operator.}}

Returns a new vector of the same size containing the result of negating all of the components of the vector, then [[#meta_add_vn|adding]] the number. In effect, <code>number - vector == (-vector) + number</code>.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|number}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

==== * (operator) ====
===== With two vectors =====
----

Returns a new vector of the same size containing the result of [[#multiply|multiplying]] the vectors together (component multiplication.)

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

===== With a vector and a number =====
{{Hatnote|Operator is commutative and has the same result regardless of order.}}

Returns a new vector of the same size containing the result of [[#scale|scaling]] the vector by the number (scalar multiplication.)

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|number}}
| new {{type|{{{T|Vector}}}}}
|-
| {{type|number}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

===== With a vector and a matrix =====
{{Hatnote|This definition only applies if the vector is on the left side. If the vector is on the right side, see [[{{{M|Matrix}}}#meta_mul_mv|the associated operator on the matrix]].}}

Returns a new vector of the same size containing the result of [[#transform|transforming]] the vector with the matrix.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{M|Matrix}}}}}
| new {{type|{{{T|Vector}}}}}
|}

==== / (operator) ====
===== With two vectors =====
----

Returns a new vector of the same size containing the result of [[#divide|dividing]] the left vector by the right vector (component division.)

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{T|Vector}}}}}
| new {{type|{{{T|Vector}}}}}
|}

===== With a vector and a number =====
{{Hatnote|Only applies when the number is on the '''right''' side of the operator. There is no definition with the number on the left side of the operator.}}

Returns a new vector of the same size containing the result of [[#scale|scaling]] the vector by the [[wikipedia:Multiplicative inverse|reciprocal]] of the number.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|number}}
| new {{type|{{{T|Vector}}}}}
|}

==== # (operator) ====
----

Returns the number of components in this vector {{#if:{{{Size|}}}|({{{Size}}}.)|.}}

{| class="wikitable"
! Operand !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{#if:{{{Size|}}}|<code>{{{Size}}}</code>|{{type|number}}}}
|}

==== < (operator) ====
----

Returns <code>true</code> if '''all''' of the components of the left vector are strictly less than the corresponding components of the right vector.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{T|Vector}}}}}
| {{type|boolean}}
|}

<syntaxhighlight lang="lua">
local A = vec(1, 2, 3)
local B = vec(4, 5, 6)
local C = vec(4, 1, 6)
print(A < B) -- true
print(B < C) -- false
</syntaxhighlight>

==== <= (operator) ====
----

Returns <code>true</code> if '''all''' of the components of the left vector are strictly less than or equal to the corresponding components of the right vector.

{| class="wikitable"
! Left !! Right !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|{{{T|Vector}}}}}
| {{type|boolean}}
|}

<syntaxhighlight lang="lua">
local A = vec(1, 2, 3)
local B = vec(4, 5, 6)
local C = vec(1, 2, 3)
print(A <= B) -- true
print(B <= C) -- true
</syntaxhighlight>

==== tostring return value ====
----

Converts the vector to a string representing its components.

{| class="wikitable"
! Operand !! Result
|-
| {{type|{{{T|Vector}}}}}
| {{type|string}}
|}

Template:Main:Vector/Operators - Revision history

PenguinEncounter: PenguinEncounter moved page Vector/Operators to Template:Main:Vector/Operators: trying to get this out of the search results

PenguinEncounter: Formatting!

PenguinEncounter: /* # (operator) */ that period looks weird

PenguinEncounter: PenguinEncounter moved page User:PenguinEncounter/Vector/Operators to Vector/Operators: Move to mainspace from user draft