Add nITG's various path shape & other modifiers - V2 (#1435)

* Implemented nITG's Square modifiers

Modifiers added:
Square
SquareOffset
SquarePeriod
SquareZ
SquareZOffset
SquareZPeriod

* Implemented nITG's BumpyX Modifiers

Also fixes up some tiny bits pertaining to the square modifiers.
Modifiers Added:
BumpyX
BumpyXPeriod
BumpyXOffset

* Implemented nITG's TornadoZ Modifiers

Modifiers Added:
TornadoZ
TornadoZPeriod
TornadoZOffset

Another commit is needed to update fallback's metrics

* Update fallback's metrics to accommodate TornadoX

* Implemented nITG's Parabola Modifiers

Modifiers Added:
ParabolaX
ParabolaY
ParabolaZ

* Implemented nITG's Sawtooth Modifiers

Modifiers Added:
Sawtooth
SawtoothPeriod
SawtoothZ
SawtoothZPeriod

* Implemented nITG's Zigzag Modifiers

Modifiers Added:
Zigzag
ZigzagPeriod
ZigzagOffset
ZigzagZ
ZigzagZPeriod
ZigzagZOffset

* Implemented nITG's ModTimer modifiers

Modifiers Added:
ModTimer (Lua method name is ModTimerSetting (takes enums. Ex: 'ModTimerType_Song'). Can be activated with mod strings 'modtimer(song/beat/game/default)' )
ModTimerOffset
ModTimerMult

* Remove Log use from ArrowEffects::GetTime()

* Accidentally removed a CPY(m_BatteryLives)

* Implemented nITG's DrunkZ modifiers

Modifiers added:
drunkz
drunkzspeed
drunkzoffset
drunkzperiod

Another commit is needed to update fallback's metrics

* Update fallback's metrics to accommodate DrunkZ

* Implemented nITG's BeatY & BeatZ Modifers

Modifiers Added:
beaty
beatyoffset
beatyperiod
beatymult	
beatz
beatzoffset
beatzperiod
beatzmult

Another commit is needed to update fallback's metrics

* Updated fallback's metrics to accommodate ...

the new Beat modifiers.

* Implemented nITG's Digital Modifiers

Modifers Added:
digital
digitalsteps
digitalperiod
digitaloffset
digitalz
digitalzsteps
digitalzperiod
digitalzoffset

* Removed duplicate zbuffer check.

* Updated Luadocs with the new modifiers

* Removed accidental duplicate Mini from Luadocs

* Split up long modifier lines.

Hopefully, this makes it a bit easier to read.

* Remove accidental commit to root of repo.

* Split up long modifier lines

Hopefully, this makes it easier to read.

* Redid Square functions to not use FastSin

This implementation is based off of 5.2's square_wave function from ModValue.

* Redid zigzag functions to not use FastSin

This implementation is based off of 5.2's triangle_wave function from ModValue.

* Moved square & zigzag calculation to RageMath.

New RageMath functions:
RageSquare
RageTriangle

* Made Square & Digital have the same period...

as Zigzag and Sawtooth.

* Deduplicate tornado calculations.

* Fixed typo in UpdateTornado, and moved UpdateTornado logic to ArrowEffects::Init because it doesn't depend on anything that changes every frame.  Tornado metrics are also loaded in ArrowEffects::Init.

* Deduplicated Beat mod update logic.

The logic is now placed into a function called UpdateBeat.
The m_fBeatFactor members are now a 1D array, similar to m_MaxTornado and m_MinTornado.

src/RageMath.cpp

@@ -643,6 +643,40 @@ float RageFastCos( float x )
 	return RageFastSin( x + 0.5f*PI );
 }
 
+float RageSquare( float angle )
+{
+	float fAngle = fmod( angle , (PI * 2) );
+		//Hack: This ensures the hold notes don't flicker right before they're hit.
+		if(fAngle < 0.01f)
+		{
+		    fAngle+= PI * 2;
+		}
+	return fAngle >= PI ? -1.0 : 1.0;
+}
+
+float RageTriangle( float angle )
+{
+	float fAngle= fmod(angle, PI * 2.0);
+	if(fAngle < 0.0)
+	{
+		fAngle+= PI * 2.0;
+	}
+	double result= fAngle * (1 / PI);
+	if(result < .5)
+	{
+		return result * 2.0;
+	}
+	else if(result < 1.5)
+	{
+		return 1.0 - ((result - .5) * 2.0);
+	}
+	else
+	{
+		return -4.0 + (result * 2.0);
+	}
+	
+}
+
 float RageQuadratic::Evaluate( float fT ) const
 {
 	// optimized (m_fA * fT*fT*fT) + (m_fB * fT*fT) + (m_fC * fT) + m_fD;