Odin/core/math/ease/ease.odin

// Easing procedures used for animations.
package ease

@require import "core:math"
import "base:intrinsics"

@(private) PI_2 :: math.PI / 2

// converted to odin from https://github.com/warrenm/AHEasing
// with additional enum based call

// Modeled after the parabola y = x^2
@(require_results)
quadratic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p * p
}

// Modeled after the parabola y = -x^2 + 2x
@(require_results)
quadratic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return -(p * (p - 2))
}

// Modeled after the piecewise quadratic
// y = (1/2)((2x)^2)             ; [0, 0.5)
// y = -(1/2)((2x-1)*(2x-3) - 1) ; [0.5, 1]
@(require_results)
quadratic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 2 * p * p
	}	else {
		return (-2 * p * p) + (4 * p) - 1
	}
}

// Modeled after the cubic y = x^3
@(require_results)
cubic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p * p * p
}

// Modeled after the cubic y = (x - 1)^3 + 1
@(require_results)
cubic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	f := p - 1
	return f * f * f + 1
}

// Modeled after the piecewise cubic
// y = (1/2)((2x)^3)       ; [0, 0.5)
// y = (1/2)((2x-2)^3 + 2) ; [0.5, 1]
@(require_results)
cubic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 4 * p * p * p
	} else {
		f := (2 * p) - 2
		return 0.5 * f * f * f + 1
	}
}

// Modeled after the quartic x^4
@(require_results)
quartic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p * p * p * p
}

// Modeled after the quartic y = 1 - (x - 1)^4
@(require_results)
quartic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	f := p - 1
	return f * f * f * (1 - p) + 1
}

// Modeled after the piecewise quartic
// y = (1/2)((2x)^4)        ; [0, 0.5)
// y = -(1/2)((2x-2)^4 - 2) ; [0.5, 1]
@(require_results)
quartic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 8 * p * p * p * p
	}	else {
		f := p - 1
		return -8 * f * f * f * f + 1
	}
}

// Modeled after the quintic y = x^5
@(require_results)
quintic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p * p * p * p * p
}

// Modeled after the quintic y = (x - 1)^5 + 1
@(require_results)
quintic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	f := p - 1
	return f * f * f * f * f + 1
}

// Modeled after the piecewise quintic
// y = (1/2)((2x)^5)       ; [0, 0.5)
// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
@(require_results)
quintic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 16 * p * p * p * p * p
	}	else {
		f := (2 * p) - 2
		return  0.5 * f * f * f * f * f + 1
	}
}

// Modeled after quarter-cycle of sine wave
@(require_results)
sine_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return math.sin((p - 1) * PI_2) + 1
}

// Modeled after quarter-cycle of sine wave (different phase)
@(require_results)
sine_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return math.sin(p * PI_2)
}

// Modeled after half sine wave
@(require_results)
sine_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return 0.5 * (1 - math.cos(p * math.PI))
}

// Modeled after shifted quadrant IV of unit circle
@(require_results)
circular_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return 1 - math.sqrt(1 - (p * p))
}

// Modeled after shifted quadrant II of unit circle
@(require_results)
circular_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return math.sqrt((2 - p) * p)
}

// Modeled after the piecewise circular function
// y = (1/2)(1 - sqrt(1 - 4x^2))           ; [0, 0.5)
// y = (1/2)(sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
@(require_results)
circular_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 0.5 * (1 - math.sqrt(1 - 4 * (p * p)))
	}	else {
		return 0.5 * (math.sqrt(-((2 * p) - 3) * ((2 * p) - 1)) + 1)
	}
}

// Modeled after the exponential function y = 2^(10(x - 1))
@(require_results)
exponential_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p == 0.0 ? p : math.pow(2, 10 * (p - 1))
}

// Modeled after the exponential function y = -2^(-10x) + 1
@(require_results)
exponential_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p == 1.0 ? p : 1 - math.pow(2, -10 * p)
}

// Modeled after the piecewise exponential
// y = (1/2)2^(10(2x - 1))         ; [0,0.5)
// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
@(require_results)
exponential_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p == 0.0 || p == 1.0 {
		return p
	}

	if p < 0.5 {
		return 0.5 * math.pow(2, (20 * p) - 10)
	} else {
		return -0.5 * math.pow(2, (-20 * p) + 10) + 1
	}
}

// Modeled after the damped sine wave y = sin(13pi/2*x)*pow(2, 10 * (x - 1))
@(require_results)
elastic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return math.sin(13 * PI_2 * p) * math.pow(2, 10 * (p - 1))
}

// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*pow(2, -10x) + 1
@(require_results)
elastic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return math.sin(-13 * PI_2 * (p + 1)) * math.pow(2, -10 * p) + 1
}

// Modeled after the piecewise exponentially-damped sine wave:
// y = (1/2)*sin(13pi/2*(2*x))*pow(2, 10 * ((2*x) - 1))      ; [0,0.5)
// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
@(require_results)
elastic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 0.5 * math.sin(13 * PI_2 * (2 * p)) * math.pow(2, 10 * ((2 * p) - 1))
	} else {
		return 0.5 * (math.sin(-13 * PI_2 * ((2 * p - 1) + 1)) * math.pow(2, -10 * (2 * p - 1)) + 2)
	}
}

// Modeled after the overshooting cubic y = x^3-x*sin(x*pi)
@(require_results)
back_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return p * p * p - p * math.sin(p * math.PI)
}

// Modeled after overshooting cubic y = 1-((1-x)^3-(1-x)*sin((1-x)*pi))
@(require_results)
back_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	f := 1 - p
	return 1 - (f * f * f - f * math.sin(f * math.PI))
}

// Modeled after the piecewise overshooting cubic function:
// y = (1/2)*((2x)^3-(2x)*sin(2*x*pi))           ; [0, 0.5)
// y = (1/2)*(1-((1-x)^3-(1-x)*sin((1-x)*pi))+1) ; [0.5, 1]
@(require_results)
back_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		f := 2 * p
		return 0.5 * (f * f * f - f * math.sin(f * math.PI))
	} else {
		f := (1 - (2*p - 1))
		return 0.5 * (1 - (f * f * f - f * math.sin(f * math.PI))) + 0.5
	}
}

@(require_results)
bounce_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	return 1 - bounce_out(1 - p)
}

@(require_results)
bounce_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 4/11.0 {
		return (121 * p * p)/16.0
	}	else if p < 8/11.0 {
		return (363/40.0 * p * p) - (99/10.0 * p) + 17/5.0
	}	else if p < 9/10.0 {
		return (4356/361.0 * p * p) - (35442/1805.0 * p) + 16061/1805.0
	}	else {
		return (54/5.0 * p * p) - (513/25.0 * p) + 268/25.0
	}
}

@(require_results)
bounce_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
	if p < 0.5 {
		return 0.5 * bounce_in(p*2)
	} else {
		return 0.5 * bounce_out(p * 2 - 1) + 0.5
	}
}

// additional enum variant

Ease :: enum {
	Linear,

	Quadratic_In,
	Quadratic_Out,
	Quadratic_In_Out,

	Cubic_In,
	Cubic_Out,
	Cubic_In_Out,

	Quartic_In,
	Quartic_Out,
	Quartic_In_Out,

	Quintic_In,
	Quintic_Out,
	Quintic_In_Out,

	Sine_In,
	Sine_Out,
	Sine_In_Out,

	Circular_In,
	Circular_Out,
	Circular_In_Out,

	Exponential_In,
	Exponential_Out,
	Exponential_In_Out,

	Elastic_In,
	Elastic_Out,
	Elastic_In_Out,

	Back_In,
	Back_Out,
	Back_In_Out,

	Bounce_In,
	Bounce_Out,
	Bounce_In_Out,
}

@(require_results)
ease :: proc "contextless" (type: Ease, p: $T) -> T where intrinsics.type_is_float(T) {
	switch type {
	case .Linear:             return p

	case .Quadratic_In:       return quadratic_in(p)
	case .Quadratic_Out:      return quadratic_out(p)
	case .Quadratic_In_Out:   return quadratic_in_out(p)

	case .Cubic_In:           return cubic_in(p)
	case .Cubic_Out:          return cubic_out(p)
	case .Cubic_In_Out:       return cubic_in_out(p)

	case .Quartic_In:         return quartic_in(p)
	case .Quartic_Out:        return quartic_out(p)
	case .Quartic_In_Out:     return quartic_in_out(p)

	case .Quintic_In:         return quintic_in(p)
	case .Quintic_Out:        return quintic_out(p)
	case .Quintic_In_Out:     return quintic_in_out(p)

	case .Sine_In:            return sine_in(p)
	case .Sine_Out:           return sine_out(p)
	case .Sine_In_Out:        return sine_in_out(p)

	case .Circular_In:        return circular_in(p)
	case .Circular_Out:       return circular_out(p)
	case .Circular_In_Out:    return circular_in_out(p)

	case .Exponential_In:     return exponential_in(p)
	case .Exponential_Out:    return exponential_out(p)
	case .Exponential_In_Out: return exponential_in_out(p)

	case .Elastic_In:         return elastic_in(p)
	case .Elastic_Out:        return elastic_out(p)
	case .Elastic_In_Out:     return elastic_in_out(p)

	case .Back_In:            return back_in(p)
	case .Back_Out:           return back_out(p)
	case .Back_In_Out:        return back_in_out(p)

	case .Bounce_In:          return bounce_in(p)
	case .Bounce_Out:         return bounce_out(p)
	case .Bounce_In_Out:      return bounce_in_out(p)
	}

	// in case type was invalid
	return 0
}