funcs

graph 1 pow(sin(xPI), sin(xPI))	graph 2 pow(sin(xPI), atan(xPI))
graph 3 pow(sin(x*PI), 3)	graph 4 pow(sin(x*PI), 4)
graph 5 NORMALIZED: var sd = 0.2f; var avg = 0.5f; return Math.Pow(Math.E, -0.5 * Math.Pow((x - avg)/sd, 2)); ORIGINAL: var sd = 0.4f; var avg = 0f; return ( 1f / (Math.Sqrt(2 * Math.PI)sd)) Math.Pow(Math.E, -0.5 * Math.Pow((x - avg)/sd, 2) );	graph 6 pow(abs(xe), e) pow(e, -abs(xe)) -pow(abs(xe), e) * pow(e, -abs(x*e)) + 1
graph 7 pow(sin(xPI), 1/sin(xPI))	graph 8 (pow(x, 0.3) + (1 - pow(1 - x, 1/0.3))) / 2 (pow(x, COEF) + (1 - pow(1 - x, 1/COEF))) / 2 COEF => 0 - 1 (pow(x, 3.0) + (1 - pow(1 - x, 1/3.0))) / 2 (pow(x, COEF) + (1 - pow(1 - x, 1/COEF))) / 2 COEF => 1 - MAX
graph 9 sin(x * PI * 2) / (2 + x) + 0.5 -sin(x * PI * (1/x)0.5) / (2 + x) + 0.5 sin(x PI * (1/x)0.5) / (2 + x) + 0.5 ----------------------- var frequency = 1f;// cycles per second var fadeWithin = 3f;// x < fadeWithin ? (sin(x PI * frequency2 )(1-x/fadeWithin ))0.5 + 0.5 : 0.5; ...................... var fadeWithin = 3f; x < fadeWithin ? (1-x/fadeWithin )0.5 + 0.5 : 0.5;	graph 10 pow(abs(x), 0.05/pow(abs(x),2)) * sign(x) pow(abs(x), CURVETURE/pow(abs(x),HOW_WIDE_IS_THE_BASE)) * sign(x)
graph 11 var d = 4.5; pow(abs(x)ed, e) * pow(e, -abs(x)ed) pow(abs(x), pow(e, pow(abs(x), 2)))	graph 12 var coef = 3.0; -pow(2, coef) * pow(abs(x - 0.5), coef) + 1
graph 13 elastic in out: (71.25 * (x * (x * x)) * (x * x) + -176.5 * (x * x) * (x * x) + 145.5 * (x * (x * x)) + -43 * (x * x) + 3.75 * x); elastic in: (33 * (x * (x * x)) * (x * x) + -59(x x) * (x * x) + 32 * (x * (x * x)) + -5 * (x * x)) elastic out (33 * (x * (x * x)) * (x * x) + -106(x x) * (x * x) + 126 * (x * (x * x)) + -67 * (x * x) + 15 * x)	graph 14 pow(5, -(pow((x - 0.842351), 2) / pow((2 * 0.234197), 2))) * 1.2
graph 15 sign(x)-pow(abs(x), 2.9) sign(x)-pow(abs(x), 1/2.9) -x	graph 16 sign(x)pow(abs(x), 2.9) sign(x)pow(abs(x), 1/2.9) x
graph 17 (sin(pow(abs(x), 1.5) * PI - PI / 2) * 0.5f + 0.5f) * sign(x)	graph 18 return max( pow(abs(x-1)e5, e) * pow(e, -abs(x-1)e5), pow(sin(x*PI-PI/2),51) );
graph 19 pow(sin( pow(x, 2) PI), 4); pow(sin(xPI), 4); pow(sin( (-pow(abs(x-1), 2)+1) PI), 4); bell like shifted: var shift = -1.5; var power = 2; return pow(abs(sin((shift > 1 ? pow(x, shift) : shift < -1 ? (-pow(abs(x-1), shift-1)+1) : x) * PI)), power); where power = [1 to MAX] shift = [-MAX to -1] for left shift OR [1 to MAX] for right shift	graph 20 var curv = 1.2f; return pow(abs(x-0.5), curv) * pow(2, curv);
graph 21 sqrt(1 - xx) -sqrt(1 - xx) ----------------------------- var radius = 0.2f; var centerY = 0.5f; var centerX = 0.5f; return sqrt(radiusradius - (x-centerX )(x-centerX ))+centerY; ----------------------------- var radius = 0.2f; var centerY = 0.5f; var centerX = 0.5f; return -sqrt(radiusradius - (x-centerX )(x-centerX ))+centerY;	graph 22 sin(xPI)sign(x) sin((x + 0.2sign(x))PI)sign(x) sin((x - 0.2sign(x))PI)sign(x)
graph 23 sin(x * PI16 )sqrt(1 - xx) sqrt(1 - xx)	graph 24 var sd = 0.2f; var avg = 0.5f; return Math.Pow(Math.E, -0.5 * Math.Pow((x - avg)/sd, 2))sin(x PI16 ); var sd = 0.2f; var avg = 0.5f; return Math.Pow(Math.E, -0.5 Math.Pow((x - avg)/sd, 2));
graph 25 abs(sin(xPI)sin(x * PI8 )) abs(sin(xPI))	graph 26 (sin(xPI)0.5+0.5) * (sin(x * PI8 )0.5 + 0.5) abs(sin(xPI)0.5 + 0.5) (sin(xPI2-PI0.5)0.5+0.5) * (sin(x * PI8 )0.5 + 0.5) abs(sin(xPI2-PI0.5)0.5 + 0.5)
graph 27 max(sign(x-1), sqrt(max(1 - pow(x-1, 2.0), 0))) ----------- max(max(sign(x-1), 0), 1-pow(x-1, 2)) ----------- -cos(xPI)0.5f+0.5f ----------- var sd = 0.2f; var avg = 1f; return round(pow(E, -0.5 * pow((x - avg)/sd, 2))*10000f)/10000f;	graph 28 var flatness = 2; var period = x * PI; return sqrt( (1 + flatness * flatness) / (1 + flatness * flatness * cos(period)cos(period)) ) cos(period) Func<double,double,double> FunFlatTopSine1M1 = (x1, flatness) => sqrt((1.0+flatnessflatness)/(1.0+flatnessflatnesscos(x1PI)cos(x1PI)))cos(x1PI); Func<double,double,double> FunFlatTopSine01 = (x1, flatness) => 0.5-sqrt((1.0+flatnessflatness)/(1.0+flatnessflatnesscos(x1PI)cos(x1PI)))cos(x1PI)0.5; //-1:1 const float factor = 8; return x < 0.5 ? pow(x 2, factor) -1 : 1 - pow(2 - x * 2, factor) ; // 0:1 const float factor = 8; return x < 0.5 ? pow(x * 2, factor) * 0.5 : 1 - pow(2 - x * 2, factor) * 0.5; // 0:1 (shifted) const float factor = 8; x+=0.2; return x < 0.5 ? pow(x * 2, factor) * 0.5 : 1 - pow(2 - x * 2, factor) * 0.5;; ---------- Func<double,double,double> FunFlatTopSine01 = (x1, flatness) => 0.5-sqrt((1.0+flatnessflatness)/(1.0+flatnessflatnesscos(x1PI)cos(x1PI)))cos(x1PI)0.5; const double stretch = 0.15f;// 0 - 1; return FunFlatTopSine01(x(1 + stretch)+((1 - stretch)/2),32);
graph 29 var n = 3; return min(x, (n-1)-x)/((n-1)/2f);	graph 30 1-pow(x + (1 - pow(x, sin(x))) - 0.5,2)4 (1-pow(x, sin(x)))3.3 1 - pow(x + sin(xPI)0.3 - 0.5,2)*4
graph 31 x = floor(x) % 3 == 0 ? x : floor(3 + x / 3); 0.5f - cos(x * PI) * 0.5f;