// https://gist.github.com/mattatz/d7b8decb481947d2e37eab98aff2d0ad
float ease_linear(float x) {
	return x;
}

float ease_in_quad(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c*(t/=d)*t + b;
}

float ease_out_quad(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return -c *(t/=d)*(t-2.) + b;
}

float ease_in_out_quad(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	if ((t/=d/2.)<1.) return c/2.*t*t + b;
	return -c/2. * ((--t)*(t-2.) - 1.) + b;
}

float ease_in_cubic(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c*(t/=d)*t*t + b;
}

float ease_out_cubic(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c*((t=t/d-1.)*t*t + 1.) + b;
}

float ease_in_out_cubic(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	if ((t/=d/2.) < 1.) return c/2.*t*t*t + b;
	return c/2.*((t-=2.)*t*t + 2.) + b;
}

float ease_in_quart(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c*(t/=d)*t*t*t + b;
}

float ease_out_quart(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return -c * ((t=t/d-1.)*t*t*t - 1.) + b;
}

float ease_in_out_quart(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	if ((t/=d/2.) < 1.) return c/2.*t*t*t*t + b;
	return -c/2. * ((t-=2.)*t*t*t - 2.) + b;
}

float ease_in_quint(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c*(t/=d)*t*t*t*t + b;
}

float ease_out_quint(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c*((t=t/d-1.)*t*t*t*t + 1.) + b;
}

float ease_in_out_quint(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	if ((t/=d/2.) < 1.) return c/2.*t*t*t*t*t + b;
	return c/2.*((t-=2.)*t*t*t*t + 2.) + b;
}

float ease_in_sine(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return -c * cos(t/d * (3.14159265359/2.)) + c + b;
}

float ease_out_sine(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c * sin(t/d * (3.14159265359/2.)) + b;
}

float ease_in_out_Sine(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return -c/2. * (cos(3.14159265359*t/d) - 1.) + b;
}

float ease_in_expo(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return (t==0.) ? b : c * pow(2., 10. * (t/d - 1.)) + b;
}

float ease_out_expo(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return (t==d) ? b+c : c * (-pow(2., -10. * t/d) + 1.) + b;
}

float ease_in_out_expo(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	if (t==0.) return b;
	if (t==d) return b+c;
	if ((t/=d/2.) < 1.) return c/2. * pow(2., 10. * (t - 1.)) + b;
	return c/2. * (-pow(2., -10. * --t) + 2.) + b;
}

float ease_in_circ(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return -c * (sqrt(1. - (t/=d)*t) - 1.) + b;
}

float ease_out_circ(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	return c * sqrt(1. - (t=t/d-1.)*t) + b;
}

float ease_in_out_circ(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	if ((t/=d/2.) < 1.) return -c/2. * (sqrt(1. - t*t) - 1.) + b;
	return c/2. * (sqrt(1. - (t-=2.)*t) + 1.) + b;
}

float ease_in_elastic(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	float s=1.70158;float p=0.;float a=c;
	if (t==0.) return b;  if ((t/=d)==1.) return b+c;  if (p == 0.) p=d*.3;
	if (a < abs(c)) { a=c; s=p/4.; }
	else s = p/(2.*3.14159265359) * asin (c/a);
	return -(a*pow(2.,10.*(t-=1.)) * sin( (t*d-s)*(2.*3.14159265359)/p )) + b;
}

float ease_out_elastic(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	float s=1.70158;float p=0.;float a=c;
	if (t==0.) return b;  if((t/=d)==1.) return b+c; if(p==0.) p=d*.3;
	if (a < abs(c)) {a=c; s=p/4.;}
	else s = p/(2.*3.14159265359) * asin (c/a);
	return a*pow(2.,-10.*t) * sin( (t*d-s)*(2.*3.14159265359)/p ) + c + b;
}

float ease_in_out_elastic(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	float s=1.70158;float p=0.;float a=c;
	if (t==0.) return b;  if ((t/=d/2.)==2.) return b+c; if (p==0.) p=d*(.3*1.5);
	if (a < abs(c)) {a=c; s=p/4.;}
	else s = p/(2.*3.14159265359) * asin (c/a);
	if (t < 1.) return -.5*(a*pow(2.,10.*(t-=1.)) * sin( (t*d-s)*(2.*3.14159265359)/p )) + b;
	return a*pow(2.,-10.*(t-=1.)) * sin( (t*d-s)*(2.*3.14159265359)/p )*.5 + c + b;
}

float ease_in_back(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	float s = 1.70158;
	return c*(t/=d)*t*((s+1.)*t - s) + b;
}

float ease_out_back(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	float s = 1.70158;
	return c*((t=t/d-1.)*t*((s+1.)*t + s) + 1.) + b;
}

float ease_in_out_back(float x) {
	float t=x; float b=0.; float c=1.; float d=1.;
	float s = 1.70158;
	if ((t/=d/2.) < 1.) return c/2.*(t*t*(((s*=(1.525))+1.)*t - s)) + b;
	return c/2.*((t-=2.)*t*(((s*=(1.525))+1.)*t + s) + 2.) + b;
}

float ease_out_bounce(float x, float t, float b, float c, float d) {
	if ((t/=d) < (1./2.75)) {
		return c*(7.5625*t*t) + b;
	} else if (t < (2./2.75)) {
		return c*(7.5625*(t-=(1.5/2.75))*t + .75) + b;
	} else if (t < (2.5/2.75)) {
		return c*(7.5625*(t-=(2.25/2.75))*t + .9375) + b;
	} else {
		return c*(7.5625*(t-=(2.625/2.75))*t + .984375) + b;
	}
}

float ease_out_bounce(float x){
	return ease_out_bounce(x, x, 0., 1., 1.);
}

float ease_in_bounce(float x, float t, float b, float c, float d) {
	return c - ease_out_bounce (x, d-t, 0., c, d) + b;
}

float ease_in_bounce(float x){
	return ease_in_bounce(x, x, 0., 1., 1.);
}

float ease_in_out_bounce(float x, float t, float b, float c, float d) {
	if (t < d/2.) return ease_in_bounce (x, t*2., 0., c, d) * .5 + b;
	return ease_out_bounce (x, t*2.-d, 0., c, d) * .5 + c*.5 + b;
}

float ease_in_out_bounce(float x){
	return ease_in_out_bounce(x, x, 0., 1., 1.);
}