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https://github.com/Ed94/Odin.git
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Cleanup ease_inverse
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@@ -9,7 +9,7 @@ import "base:intrinsics"
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// Helper for handling negative bases with fractional exponents
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// Helper for handling negative bases with fractional exponents
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// since math.pow(negative, fraction) returns NaN
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// since math.pow(negative, fraction) returns NaN
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@(private="file")
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@(private)
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_signed_pow :: proc "contextless" (x, exp: $T) -> T where intrinsics.type_is_float(T) {
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_signed_pow :: proc "contextless" (x, exp: $T) -> T where intrinsics.type_is_float(T) {
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if x >= 0 {
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if x >= 0 {
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return math.pow(x, exp)
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return math.pow(x, exp)
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@@ -18,6 +18,8 @@ _signed_pow :: proc "contextless" (x, exp: $T) -> T where intrinsics.type_is_flo
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}
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}
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}
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}
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@(private) PI_2_INV :: 2 / math.PI
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// Inverse of quadratic_in
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// Inverse of quadratic_in
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// x = sqrt(y)
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// x = sqrt(y)
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@(require_results)
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@(require_results)
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@@ -33,14 +35,14 @@ quadratic_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_i
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}
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}
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// Inverse of quadratic_in_out
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// Inverse of quadratic_in_out
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// x = sqrt(y/2) ; [0, 0.5)
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// x = sqrt(y/2) ; [0, 0.5)
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// x = 1 - sqrt((1-y)/2) ; [0.5, 1]
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// x = 1 - sqrt((1-y)/2) ; [0.5, 1]
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@(require_results)
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@(require_results)
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quadratic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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quadratic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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if p < 0.5 {
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return math.sqrt(p / 2)
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return math.sqrt(p * 0.5)
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} else {
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} else {
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return 1 - math.sqrt((1 - p) / 2)
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return 1 - math.sqrt((1 - p) * 0.5)
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}
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}
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}
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}
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@@ -59,14 +61,14 @@ cubic_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_fl
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}
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}
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// Inverse of cubic_in_out
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// Inverse of cubic_in_out
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// x = (y/4)^(1/3) ; [0, 0.5)
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// x = (y/4)^(1/3) ; [0, 0.5)
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// x = ((y-1)*2)^(1/3)/2 + 1 ; [0.5, 1]
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// x = ((y-1)*2)^(1/3)/2 + 1 ; [0.5, 1]
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@(require_results)
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@(require_results)
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cubic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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cubic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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if p < 0.5 {
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return math.pow(p / 4, 1.0/3.0)
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return math.pow(p * 0.25, 1.0/3.0)
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} else {
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} else {
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return _signed_pow((p - 1) * 2, 1.0/3.0) / 2 + 1
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return _signed_pow((p - 1) * 2, 1.0/3.0) * 0.5 + 1
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}
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}
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}
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}
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@@ -85,14 +87,14 @@ quartic_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_
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}
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}
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// Inverse of quartic_in_out
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// Inverse of quartic_in_out
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// x = (y/8)^(1/4) ; [0, 0.5)
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// x = (y/8)^(1/4) ; [0, 0.5)
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// x = 1 - ((1-y)/8)^(1/4) ; [0.5, 1]
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// x = 1 - ((1-y)/8)^(1/4) ; [0.5, 1]
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@(require_results)
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@(require_results)
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quartic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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quartic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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if p < 0.5 {
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return math.pow(p / 8, 0.25)
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return math.pow(p * 0.125, 0.25)
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} else {
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} else {
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return 1 - math.pow((1 - p) / 8, 0.25)
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return 1 - math.pow((1 - p) * 0.125, 0.25)
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}
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}
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}
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}
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@@ -111,14 +113,14 @@ quintic_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_
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}
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}
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// Inverse of quintic_in_out
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// Inverse of quintic_in_out
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// x = (y/16)^(1/5) ; [0, 0.5)
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// x = (y/16)^(1/5) ; [0, 0.5)
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// x = ((y-1)*2)^(1/5)/2 + 1 ; [0.5, 1]
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// x = ((y-1)*2)^(1/5)/2 + 1 ; [0.5, 1]
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@(require_results)
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@(require_results)
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quintic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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quintic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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if p < 0.5 {
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return math.pow(p / 16, 0.2)
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return math.pow(0.0625 * p, 0.2)
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} else {
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} else {
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return _signed_pow((p - 1) * 2, 0.2) / 2 + 1
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return _signed_pow((p - 1) * 2, 0.2) * 0.5 + 1
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}
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}
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}
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}
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@@ -126,14 +128,14 @@ quintic_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_
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// x = asin(y - 1) * 2/π + 1
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// x = asin(y - 1) * 2/π + 1
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@(require_results)
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@(require_results)
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sine_in_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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sine_in_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.asin(p - 1) * 2/math.PI + 1
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return math.asin(p - 1) * PI_2_INV + 1
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}
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}
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// Inverse of sine_out
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// Inverse of sine_out
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// x = asin(y) * 2/π
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// x = asin(y) * 2/π
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@(require_results)
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@(require_results)
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sine_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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sine_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return math.asin(p) * 2/math.PI
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return math.asin(p) * PI_2_INV
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}
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}
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// Inverse of sine_in_out
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// Inverse of sine_in_out
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@@ -158,16 +160,16 @@ circular_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is
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}
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}
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// Inverse of circular_in_out
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// Inverse of circular_in_out
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// x = sqrt(1 - (1-2y)²) / 2 ; [0, 0.5)
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// x = sqrt(1 - (1-2y)²) / 2 ; [0, 0.5)
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// x = 1 - sqrt(1 - (2y-1)²) / 2 ; [0.5, 1]
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// x = 1 - sqrt(1 - (2y-1)²) / 2 ; [0.5, 1]
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@(require_results)
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@(require_results)
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circular_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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circular_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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if p < 0.5 {
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if p < 0.5 {
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q := 1 - 2*p
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q := 1 - 2*p
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return math.sqrt(1 - q*q) / 2
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return 0.5 * math.sqrt(1 - q*q)
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} else {
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} else {
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q := 2*p - 1
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q := 2*p - 1
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return 1 - math.sqrt(1 - q*q) / 2
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return 1 - 0.5 * math.sqrt(1 - q*q)
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}
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}
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}
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}
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@@ -175,19 +177,19 @@ circular_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type
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// x = log₂(y) / 10 + 1
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// x = log₂(y) / 10 + 1
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@(require_results)
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@(require_results)
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exponential_in_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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exponential_in_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p == 0.0 ? 0.0 : math.log2(p) / 10 + 1
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return p == 0.0 ? 0.0 : 0.1 * math.log2(p) + 1
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}
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}
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// Inverse of exponential_out
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// Inverse of exponential_out
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// x = -log₂(1 - y) / 10
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// x = -log₂(1 - y) / 10
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@(require_results)
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@(require_results)
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exponential_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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exponential_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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return p == 1.0 ? 1.0 : -math.log2(1 - p) / 10
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return p == 1.0 ? 1.0 : 0.1 * -math.log2(1 - p)
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}
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}
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// Inverse of exponential_in_out
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// Inverse of exponential_in_out
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// x = (log₂(2y) + 10) / 20 ; [0, 0.5)
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// x = (log₂(2y) + 10) / 20 ; [0, 0.5)
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// x = (10 - log₂(2(1-y))) / 20 ; [0.5, 1]
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// x = (10 - log₂(2(1-y))) / 20 ; [0.5, 1]
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@(require_results)
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@(require_results)
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exponential_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.type_is_float(T) {
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exponential_in_out_inverse :: 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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if p == 0.0 || p == 1.0 {
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@@ -195,9 +197,9 @@ exponential_in_out_inverse :: proc "contextless" (p: $T) -> T where intrinsics.t
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}
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}
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if p < 0.5 {
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if p < 0.5 {
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return (math.log2(2*p) + 10) / 20
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return 0.05 * (math.log2(2*p) + 10)
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} else {
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} else {
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return (10 - math.log2(2*(1-p))) / 20
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return 0.05 * (10 - math.log2(2*(1-p)))
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}
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}
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}
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}
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