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add math easing package
This commit is contained in:
Michael Kutowski
466
core/math/ease/ease.odin
Normal file
466
core/math/ease/ease.odin
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@@ -0,0 +1,466 @@
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package ease
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import "core:math"
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import "core:intrinsics"
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import "core:time"
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@(private) PI_2 :: math.PI / 2
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// converted to odin from https://github.com/warrenm/AHEasing
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// with additional enum based call
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// Modeled after the parabola y = x^2
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quadratic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p * p
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}
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// Modeled after the parabola y = -x^2 + 2x
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quadratic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return -(p * (p - 2))
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}
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// Modeled after the piecewise quadratic
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// y = (1/2)((2x)^2) ; [0, 0.5)
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// y = -(1/2)((2x-1)*(2x-3) - 1) ; [0.5, 1]
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quadratic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 2 * p * p;
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} else {
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return (-2 * p * p) + (4 * p) - 1
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}
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}
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// Modeled after the cubic y = x^3
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cubic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p * p * p
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}
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// Modeled after the cubic y = (x - 1)^3 + 1
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cubic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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f := p - 1
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return f * f * f + 1
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}
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// Modeled after the piecewise cubic
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// y = (1/2)((2x)^3) ; [0, 0.5)
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// y = (1/2)((2x-2)^3 + 2) ; [0.5, 1]
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cubic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 4 * p * p * p
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} else {
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f := (2 * p) - 2
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return 0.5 * f * f * f + 1
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}
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}
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// Modeled after the quartic x^4
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quartic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p * p * p * p
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}
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// Modeled after the quartic y = 1 - (x - 1)^4
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quartic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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f := p - 1
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return f * f * f * (1 - p) + 1
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}
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// Modeled after the piecewise quartic
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// y = (1/2)((2x)^4) ; [0, 0.5)
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// y = -(1/2)((2x-2)^4 - 2) ; [0.5, 1]
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quartic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 8 * p * p * p * p
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} else {
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f := p - 1
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return -8 * f * f * f * f + 1
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}
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}
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// Modeled after the quintic y = x^5
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quintic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p * p * p * p * p
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}
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// Modeled after the quintic y = (x - 1)^5 + 1
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quintic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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f := p - 1
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return f * f * f * f * f + 1
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}
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// Modeled after the piecewise quintic
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// y = (1/2)((2x)^5) ; [0, 0.5)
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// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
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quintic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 16 * p * p * p * p * p
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} else {
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f := (2 * p) - 2
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return 0.5 * f * f * f * f * f + 1
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}
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}
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// Modeled after quarter-cycle of sine wave
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sine_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.sin((p - 1) * PI_2) + 1
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}
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// Modeled after quarter-cycle of sine wave (different phase)
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sine_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.sin(p * PI_2)
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}
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// Modeled after half sine wave
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sine_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return 0.5 * (1 - math.cos(p * math.PI))
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}
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// Modeled after shifted quadrant IV of unit circle
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circular_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return 1 - math.sqrt(1 - (p * p))
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}
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// Modeled after shifted quadrant II of unit circle
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circular_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.sqrt((2 - p) * p)
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}
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// Modeled after the piecewise circular function
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// y = (1/2)(1 - sqrt(1 - 4x^2)) ; [0, 0.5)
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// y = (1/2)(sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
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circular_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 0.5 * (1 - math.sqrt(1 - 4 * (p * p)))
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} else {
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return 0.5 * (math.sqrt(-((2 * p) - 3) * ((2 * p) - 1)) + 1)
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}
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}
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// Modeled after the exponential function y = 2^(10(x - 1))
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exponential_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p == 0.0 ? p : math.pow(2, 10 * (p - 1))
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}
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// Modeled after the exponential function y = -2^(-10x) + 1
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exponential_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p == 1.0 ? p : 1 - math.pow(2, -10 * p)
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}
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// Modeled after the piecewise exponential
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// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
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// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
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exponential_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p == 0.0 || p == 1.0 {
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return p
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}
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if p < 0.5 {
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return 0.5 * math.pow(2, (20 * p) - 10)
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} else {
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return -0.5 * math.pow(2, (-20 * p) + 10) + 1
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}
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}
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// Modeled after the damped sine wave y = sin(13pi/2*x)*pow(2, 10 * (x - 1))
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elastic_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.sin(13 * PI_2 * p) * math.pow(2, 10 * (p - 1))
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}
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// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*pow(2, -10x) + 1
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elastic_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.sin(-13 * PI_2 * (p + 1)) * math.pow(2, -10 * p) + 1
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}
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// Modeled after the piecewise exponentially-damped sine wave:
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// y = (1/2)*sin(13pi/2*(2*x))*pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
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// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
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elastic_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 0.5 * math.sin(13 * PI_2 * (2 * p)) * math.pow(2, 10 * ((2 * p) - 1))
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} else {
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return 0.5 * (math.sin(-13 * PI_2 * ((2 * p - 1) + 1)) * math.pow(2, -10 * (2 * p - 1)) + 2)
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}
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}
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// Modeled after the overshooting cubic y = x^3-x*sin(x*pi)
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back_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p * p * p - p * math.sin(p * math.PI)
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}
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// Modeled after overshooting cubic y = 1-((1-x)^3-(1-x)*sin((1-x)*pi))
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back_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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f := 1 - p
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return 1 - (f * f * f - f * math.sin(f * math.PI))
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}
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// Modeled after the piecewise overshooting cubic function:
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// y = (1/2)*((2x)^3-(2x)*sin(2*x*pi)) ; [0, 0.5)
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// y = (1/2)*(1-((1-x)^3-(1-x)*sin((1-x)*pi))+1) ; [0.5, 1]
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back_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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f := 2 * p
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return 0.5 * (f * f * f - f * math.sin(f * math.PI))
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} else {
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f := (1 - (2*p - 1))
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return 0.5 * (1 - (f * f * f - f * math.sin(f * math.PI))) + 0.5
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}
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}
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bounce_in :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return 1 - bounce_out(1 - p)
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}
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bounce_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 4/11.0 {
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return (121 * p * p)/16.0
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} else if p < 8/11.0 {
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return (363/40.0 * p * p) - (99/10.0 * p) + 17/5.0
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} else if p < 9/10.0 {
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return (4356/361.0 * p * p) - (35442/1805.0 * p) + 16061/1805.0
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} else {
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return (54/5.0 * p * p) - (513/25.0 * p) + 268/25.0
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}
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}
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bounce_in_out :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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return 0.5 * bounce_in(p*2)
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} else {
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return 0.5 * bounce_out(p * 2 - 1) + 0.5
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}
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}
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// additional enum variant
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Ease :: enum {
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Linear,
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Quadratic_In,
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Quadratic_Out,
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Quadratic_In_Out,
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Cubic_In,
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Cubic_Out,
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Cubic_In_Out,
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Quartic_In,
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Quartic_Out,
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Quartic_In_Out,
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Quintic_In,
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Quintic_Out,
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Quintic_In_Out,
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Sine_In,
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Sine_Out,
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Sine_In_Out,
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Circular_In,
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Circular_Out,
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Circular_In_Out,
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Exponential_In,
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Exponential_Out,
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Exponential_In_Out,
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Elastic_In,
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Elastic_Out,
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Elastic_In_Out,
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Back_In,
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Back_Out,
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Back_In_Out,
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Bounce_In,
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Bounce_Out,
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Bounce_In_Out,
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}
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ease :: proc "contextless" (type: Ease, p: $T) -> T
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where intrinsics.type_is_float(T) {
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switch type {
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case .Linear: return p
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case .Quadratic_In: return quadratic_in(p)
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case .Quadratic_Out: return quadratic_out(p)
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case .Quadratic_In_Out: return quadratic_in_out(p)
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case .Cubic_In: return cubic_in(p)
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case .Cubic_Out: return cubic_out(p)
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case .Cubic_In_Out: return cubic_in_out(p)
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case .Quartic_In: return quartic_in(p)
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case .Quartic_Out: return quartic_out(p)
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case .Quartic_In_Out: return quartic_in_out(p)
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case .Quintic_In: return quintic_in(p)
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case .Quintic_Out: return quintic_out(p)
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case .Quintic_In_Out: return quintic_in_out(p)
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case .Sine_In: return sine_in(p)
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case .Sine_Out: return sine_out(p)
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case .Sine_In_Out: return sine_in_out(p)
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case .Circular_In: return circular_in(p)
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case .Circular_Out: return circular_out(p)
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case .Circular_In_Out: return circular_in_out(p)
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case .Exponential_In: return exponential_in(p)
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case .Exponential_Out: return exponential_out(p)
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case .Exponential_In_Out: return exponential_in_out(p)
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case .Elastic_In: return elastic_in(p)
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case .Elastic_Out: return elastic_out(p)
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case .Elastic_In_Out: return elastic_in_out(p)
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case .Back_In: return back_in(p)
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case .Back_Out: return back_out(p)
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case .Back_In_Out: return back_in_out(p)
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case .Bounce_In: return bounce_in(p)
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case .Bounce_Out: return bounce_out(p)
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case .Bounce_In_Out: return bounce_in_out(p)
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}
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// in case type was invalid
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return 0
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}
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Flux_Map :: struct($T: typeid) {
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values: map[^T]Flux_Tween(T),
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}
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Flux_Tween :: struct($T: typeid) {
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value: ^T,
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start: T,
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diff: T,
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goal: T,
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// using ticks for timing instead
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delay_tick_start: time.Tick,
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delay: time.Duration,
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duration: time.Duration,
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progress: f64,
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rate: f64,
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type: Ease,
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inited: bool,
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// callbacks, data can be set, will be pushed to callback
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data: rawptr, // by default gets set to value input
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on_start: proc(flux: ^Flux_Map(T), data: rawptr),
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on_update: proc(flux: ^Flux_Map(T), data: rawptr),
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on_complete: proc(flux: ^Flux_Map(T), data: rawptr),
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}
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// init flux map to a float type and a wanted cap
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flux_init :: proc($T: typeid, cap := 8) -> Flux_Map(T) where intrinsics.type_is_float(T) {
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return {
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make(map[^T]Flux_Tween(T), cap),
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}
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}
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// delete map content
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flux_destroy :: proc(flux: Flux_Map($T)) where intrinsics.type_is_float(T) {
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delete(flux.values)
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}
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// clear map content, stops all animations
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flux_clear :: proc(flux: ^Flux_Map($T)) where intrinsics.type_is_float(T) {
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clear(&flux.values)
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}
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// append / overwrite existing tween value to parameters
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// rest is initialized in flux_tween_init, inside update
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// return value can be used to set callbacks
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flux_to :: proc(
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flux: ^Flux_Map($T),
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value: ^f32,
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goal: f32,
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type: Ease = .Quadratic_Out,
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duration: time.Duration = time.Second,
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delay: time.Duration = 0,
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) -> (tween: ^Flux_Tween(T)) where intrinsics.type_is_float(T) {
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if res, ok := &flux.values[value]; ok {
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tween = res
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} else {
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flux.values[value] = {}
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tween = &flux.values[value]
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}
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tween^ = {
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value = value,
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goal = goal,
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duration = duration,
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delay = delay,
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delay_tick_start = time.tick_now(),
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type = type,
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data = value,
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}
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return
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}
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// init internal properties
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flux_tween_init :: proc(tween: ^Flux_Tween($T), duration: time.Duration) where intrinsics.type_is_float(T) {
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tween.inited = true
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tween.start = tween.value^
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tween.diff = tween.goal - tween.value^
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s := time.duration_seconds(duration)
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tween.rate = duration > 0 ? 1.0 / s : 0
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tween.progress = duration > 0 ? 0 : 1
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}
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// update all tweens, wait for their delay if one exists
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// calls callbacks in all stages, when they're filled
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// deletes tween from the map after completion
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flux_update :: proc(flux: ^Flux_Map($T), dt: f64) where intrinsics.type_is_float(T) {
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size := len(flux.values)
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now := time.tick_now()
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for key, tween in &flux.values {
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if tween.delay != 0 {
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diff := time.tick_diff(tween.delay_tick_start, now)
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// when diff reached delay, stop delaying
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if diff > tween.delay {
|
||||
tween.delay = 0
|
||||
}
|
||||
} else {
|
||||
if !tween.inited {
|
||||
flux_tween_init(&tween, tween.duration)
|
||||
|
||||
if tween.on_start != nil {
|
||||
tween.on_start(flux, tween.data)
|
||||
}
|
||||
}
|
||||
|
||||
tween.progress += tween.rate * dt
|
||||
x := tween.progress >= 1 ? 1 : ease(tween.type, tween.progress)
|
||||
tween.value^ = tween.start + tween.diff * T(x)
|
||||
|
||||
if tween.on_update != nil {
|
||||
tween.on_update(flux, tween.data)
|
||||
}
|
||||
|
||||
if tween.progress >= 1 {
|
||||
delete_key(&flux.values, key)
|
||||
|
||||
if tween.on_complete != nil {
|
||||
tween.on_complete(flux, tween.data)
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// stop a specific key inside the map
|
||||
// returns true when it successfully removed the key
|
||||
flux_stop :: proc(flux: ^Flux_Map($T), key: ^f32) -> bool where intrinsics.type_is_float(T) {
|
||||
if key in flux {
|
||||
delete_key(flux, key)
|
||||
return true
|
||||
}
|
||||
|
||||
return false
|
||||
}
|
||||
Reference in New Issue
Block a user