クラス Math

数学/ベクトルライブラリ用に拡張した Math クラス。 [詳細]

すべてのメンバ一覧

構成
class	RandGenerator
	System.Randomをラップし、ベクトルの乱数生成を拡張したクラス。 [詳細]
Static Public メソッド
static Matrix4	LookAt (Vector3 eye, Vector3 center, Vector3 _Up)
	カメラのルックアット行列を計算します。ベクトル（視点、中央）を-zにマップし（OpenGLはZを下向きにみるので）、上方向をyにマップします。
static void	TranslationRotationScale (ref Matrix3 ret, Vector2 translation, Vector2 rotation, Vector2 scale)
	Matrix3 TRS 行列の高速ビルド。
static float	Det (Vector2 value1, Vector2 value2)
static float	Sign (float x)
	xの符号を返します。xが0.0fなら0.0fを返します。
static Vector2	Perp (Vector2 value)
	pi/2で回転した値を返します。
static Vector4	SetAlpha (Vector4 value, float w)
	アルファ値を設定します。(数学式でインライン化することができます)
static float	SafeAcos (float x)
	SafeAcos xが[-1,1]の範囲内にあることをチェックし、イプシロンによってオフになるなら、それをクランプします。
static float	Angle (Vector2 value)
	(1,0)と引数 valueのなす2Dの絶対角を、-pi～piの範囲で返します。
static Vector2	Rotate (Vector2 point, float angle, Vector2 pivot)
	'pivot'を中心に、角度 ' angle'(ラジアン)で 'point'を回転します。
static float	Deg2Rad (float value)
	度数をラジアンに変換します。
static float	Rad2Deg (float value)
	ラジアンを度数に変換します。
static Vector2	Deg2Rad (Vector2 value)
	度数をラジアンに変換します。
static Vector2	Rad2Deg (Vector2 value)
	ラジアンを度数に変換します。
static float	Lerp (float a, float b, float x)
	線形補間。
static Vector2	Lerp (Vector2 a, Vector2 b, float x)
	線形補間。
static Vector3	Lerp (Vector3 a, Vector3 b, float x)
	線形補間。
static Vector4	Lerp (Vector4 a, Vector4 b, float x)
	線形補間。
static Vector2	LerpUnitVectors (Vector2 va, Vector2 vb, float x)
	2つの単位ベクトルで線形補間を行います。補間はパスの短い側で行います。
static float	LerpAngles (float a, float b, float x)
	引数の2つの角度で線形補間を行います。補間はパスの短い側で行います。
static float	Sin (uint period, float phase, uint mstime)
	uint型の値をとる、安全なサイン関数。
static float	Sin (ulong period, float phase, ulong mstime)
	ulong型の値をとる、安全なサイン関数。
static float	Linear (float x)
	この関数は単なる f(x)=x です。Tween関数として渡すとき、コードをより明快にするため定義されています。
static float	PowerfulScurve (float x, float p1, float p2)
	制御可能な曲線であり、少ないコードでカーブのイン/アウト多項式を容易に行うことができます。
static float	PowEaseIn (float x, float p)
	Ease in curve using Pow.
static float	PowEaseOut (float x, float p)
	Ease out curve using Pow.
static float	PowEaseInOut (float x, float p)
	PowEaseIn/PowEaseOut mirrored around 0.5,0.5.
static float	ExpEaseOut (float x, float a)
	Ease out curve using a 1-exp(-a*x) exponential, but normalized so that we reach 1 when x=1.
static float	ExpEaseIn (float x, float a)
	Ease in curve using an exponential.
static float	BackEaseIn (float x, float a)
	BackEaseIn function (see http://www.robertpenner.com)
static float	BackEaseOut (float x, float a)
	BackEaseOut function (see http://www.robertpenner.com)
static float	BackEaseInOut (float x, float p)
	BackEaseIn/BackEaseOut mirrored around 0.5,0.5.
static float	Impulse (float x, float b)
	Impulse function (source Inigo Quilez).
static float	ShockWave (float d, float time, float wave_half_width, float wave_speed, float wave_fade, float d_scale)
	Travelling wave function.
static int	Log2 (int v)
	Return the log of v in base 2.
static bool	IsPowerOf2 (int i)
	'i'が2のべき乗である場合、trueを返します。
static int	GreatestOrEqualPowerOf2 (int i)
	引数 i に大きい側で最も近い、もしくは等しい2のべき乗を返します。
static Vector2	ClosestSegmentPoint (Vector2 P, Vector2 A, Vector2 B)
	Return the closest point to P that's on segment [A,B].
Static Public 変数
static Vector2i	_00i = new Vector2i(0,0)
static Vector2i	_10i = new Vector2i(1,0)
static Vector2i	_01i = new Vector2i(0,1)
static Vector2i	_11i = new Vector2i(1,1)
static Vector3i	_000i = new Vector3i(0,0,0)
static Vector3i	_100i = new Vector3i(1,0,0)
static Vector3i	_010i = new Vector3i(0,1,0)
static Vector3i	_110i = new Vector3i(1,1,0)
static Vector3i	_001i = new Vector3i(0,0,1)
static Vector3i	_101i = new Vector3i(1,0,1)
static Vector3i	_011i = new Vector3i(0,1,1)
static Vector3i	_111i = new Vector3i(1,1,1)
static Vector2	_00 = new Vector2(0.0f,0.0f)
static Vector2	_10 = new Vector2(1.0f,0.0f)
static Vector2	_01 = new Vector2(0.0f,1.0f)
static Vector2	_11 = new Vector2(1.0f,1.0f)
static Vector3	_000 = new Vector3(0.0f,0.0f,0.0f)
static Vector3	_100 = new Vector3(1.0f,0.0f,0.0f)
static Vector3	_010 = new Vector3(0.0f,1.0f,0.0f)
static Vector3	_110 = new Vector3(1.0f,1.0f,0.0f)
static Vector3	_001 = new Vector3(0.0f,0.0f,1.0f)
static Vector3	_101 = new Vector3(1.0f,0.0f,1.0f)
static Vector3	_011 = new Vector3(0.0f,1.0f,1.0f)
static Vector3	_111 = new Vector3(1.0f,1.0f,1.0f)
static Vector4	_0000 = new Vector4(0.0f,0.0f,0.0f,0.0f)
static Vector4	_1000 = new Vector4(1.0f,0.0f,0.0f,0.0f)
static Vector4	_0100 = new Vector4(0.0f,1.0f,0.0f,0.0f)
static Vector4	_1100 = new Vector4(1.0f,1.0f,0.0f,0.0f)
static Vector4	_0010 = new Vector4(0.0f,0.0f,1.0f,0.0f)
static Vector4	_1010 = new Vector4(1.0f,0.0f,1.0f,0.0f)
static Vector4	_0110 = new Vector4(0.0f,1.0f,1.0f,0.0f)
static Vector4	_1110 = new Vector4(1.0f,1.0f,1.0f,0.0f)
static Vector4	_0001 = new Vector4(0.0f,0.0f,0.0f,1.0f)
static Vector4	_1001 = new Vector4(1.0f,0.0f,0.0f,1.0f)
static Vector4	_0101 = new Vector4(0.0f,1.0f,0.0f,1.0f)
static Vector4	_1101 = new Vector4(1.0f,1.0f,0.0f,1.0f)
static Vector4	_0011 = new Vector4(0.0f,0.0f,1.0f,1.0f)
static Vector4	_1011 = new Vector4(1.0f,0.0f,1.0f,1.0f)
static Vector4	_0111 = new Vector4(0.0f,1.0f,1.0f,1.0f)
static Vector4	_1111 = new Vector4(1.0f,1.0f,1.0f,1.0f)
static Vector4	UV_TransformIdentity = new Vector4( 0.0f, 0.0f, 1.0f, 1.0f )
	UV transform stored as (offset, scale) in a Vector4.
static Vector4	UV_TransformFlipV = new Vector4( 0.0f, 1.0f, 1.0f, -1.0f )
	UV transform stored as (offset, scale) in a Vector4 UV_TransformFlipV v into 1-v, and leaves u unchanged.
プロパティ
static float	Pi [get]
static float	TwicePi [get]
	2pi
static float	HalfPi [get]
	pi/2

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説明

数学/ベクトルライブラリ用に拡張した Math クラス。

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メソッド

static float Det	(	Vector2	value1,
		Vector2	value2
	)		[static]

2つのベクトルの行列式を返します。

static float PowEaseInOut	(	float	x,
		float	p
	)		[static]

PowEaseIn/PowEaseOut mirrored around 0.5,0.5.

Same exponent in and out.

static float PowerfulScurve	(	float	x,
		float	p1,
		float	p2
	)		[static]

制御可能な曲線であり、少ないコードでカーブのイン/アウト多項式を容易に行うことができます。

引数:

x	Asssumed to be in 0,1.
p1	Controls the ease in exponent (if >1).
p2	Controls the ease out exponent (if >1.),(p1,p2)=(1,1) just gives f(x)=x

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変数

Vector2 _00 = new Vector2(0.0f,0.0f) [static]

Vector3 _000 = new Vector3(0.0f,0.0f,0.0f) [static]

Vector4 _0000 = new Vector4(0.0f,0.0f,0.0f,0.0f) [static]

Vector4 _0001 = new Vector4(0.0f,0.0f,0.0f,1.0f) [static]

Vector3i _000i = new Vector3i(0,0,0) [static]

Vector3 _001 = new Vector3(0.0f,0.0f,1.0f) [static]

Vector4 _0010 = new Vector4(0.0f,0.0f,1.0f,0.0f) [static]

Vector4 _0011 = new Vector4(0.0f,0.0f,1.0f,1.0f) [static]

Vector3i _001i = new Vector3i(0,0,1) [static]

Vector2i _00i = new Vector2i(0,0) [static]

Vector2 _01 = new Vector2(0.0f,1.0f) [static]

Vector3 _010 = new Vector3(0.0f,1.0f,0.0f) [static]

Vector4 _0100 = new Vector4(0.0f,1.0f,0.0f,0.0f) [static]

Vector4 _0101 = new Vector4(0.0f,1.0f,0.0f,1.0f) [static]

Vector3i _010i = new Vector3i(0,1,0) [static]

Vector3 _011 = new Vector3(0.0f,1.0f,1.0f) [static]

Vector4 _0110 = new Vector4(0.0f,1.0f,1.0f,0.0f) [static]

Vector4 _0111 = new Vector4(0.0f,1.0f,1.0f,1.0f) [static]

Vector3i _011i = new Vector3i(0,1,1) [static]

Vector2i _01i = new Vector2i(0,1) [static]

Vector2 _10 = new Vector2(1.0f,0.0f) [static]

Vector3 _100 = new Vector3(1.0f,0.0f,0.0f) [static]

Vector4 _1000 = new Vector4(1.0f,0.0f,0.0f,0.0f) [static]

Vector4 _1001 = new Vector4(1.0f,0.0f,0.0f,1.0f) [static]

Vector3i _100i = new Vector3i(1,0,0) [static]

Vector3 _101 = new Vector3(1.0f,0.0f,1.0f) [static]

Vector4 _1010 = new Vector4(1.0f,0.0f,1.0f,0.0f) [static]

Vector4 _1011 = new Vector4(1.0f,0.0f,1.0f,1.0f) [static]

Vector3i _101i = new Vector3i(1,0,1) [static]

Vector2i _10i = new Vector2i(1,0) [static]

Vector2 _11 = new Vector2(1.0f,1.0f) [static]

Vector3 _110 = new Vector3(1.0f,1.0f,0.0f) [static]

Vector4 _1100 = new Vector4(1.0f,1.0f,0.0f,0.0f) [static]

Vector4 _1101 = new Vector4(1.0f,1.0f,0.0f,1.0f) [static]

Vector3i _110i = new Vector3i(1,1,0) [static]

Vector3 _111 = new Vector3(1.0f,1.0f,1.0f) [static]

Vector4 _1110 = new Vector4(1.0f,1.0f,1.0f,0.0f) [static]

Vector4 _1111 = new Vector4(1.0f,1.0f,1.0f,1.0f) [static]

Vector3i _111i = new Vector3i(1,1,1) [static]

Vector2i _11i = new Vector2i(1,1) [static]

Vector4 UV_TransformIdentity = new Vector4( 0.0f, 0.0f, 1.0f, 1.0f ) [static]

UV transform stored as (offset, scale) in a Vector4.

offset=0,0 scale=1,1 means identity.

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プロパティ

float HalfPi [static, get]

pi/2

float Pi [static, get]

float TwicePi [static, get]

2pi