System.Math.Exp(double)

public double Cdf(double x) => Exp(-Exp(-Z(x)));

public double Quantile(Probability p)
        {
            if (Abs(p) < 1e-9)
                return double.NegativeInfinity;
            if (Abs(p) > 1 - 1e-9)
                return double.PositiveInfinity;
            double z = NormalDistribution.Standard.Quantile(p);
            return Abs(G) < 1e-9
                ? Mu + Sigma * z * Exp(H * z * z / 2)
                : Mu + Sigma * (Exp(G * z) - 1) * Exp(H * z * z / 2) / G;
        }

public override void Diff()
        {
            Value = Math.Exp(Arg.Value);
            Inputs.SetWeight(ArgIdx, Value);        
        }

public double Cdf(double x)
        {
            if (x < 0)
                return 0;
            return 1 - Exp(-Rate * x);
        }

public CoordinatePair MetersToLatLon(double mx, double my)
        {
            CoordinatePair retval = new CoordinatePair();
            try
            {
                retval.X = (mx / this.originShift) * 180.0;
                retval.Y = (my / this.originShift) * 180.0;

                retval.Y = 180 / Math.PI * (2 * Math.Atan(Math.Exp(retval.Y * Math.PI / 180.0)) - Math.PI / 2.0);
                return retval;
            }
            catch (Exception ex)
            {
                throw ex;
            }
        }

public static Vector2d MetersToLatLon(Vector2d m)
		{
			var vx = (m.x / OriginShift) * 180;
			var vy = (m.y / OriginShift) * 180;
			vy = 180 / Math.PI * (2 * Math.Atan(Math.Exp(vy * Math.PI / 180)) - Math.PI / 2);
			return new Vector2d(vy, vx);
		}

public double Quantile(Probability p)
        {
            if (p < 1e-9)
                return 0;
            if (p > 1 - 1e-9)
                return double.PositiveInfinity;
            return Exp(Mean + Constants.Sqrt2 * StandardDeviation * ErrorFunction.InverseValue(2 * p - 1));
        }

public static void ELuLambda(IData data)
        {
            data.ApplyToAll( p =>
            {
                if (p >= 0.0)
                    return p;
                else
                {
                    return 1.0 * (Math.Exp(p) - 1.0);
                }
            });
        }

public double Pmf(int k)
        {
            if (k < 0 || k > N)
                return 0;

            return Math.Exp(
                BinomialCoefficientHelper.GetLogBinomialCoefficient(N, k) +
                k * Math.Log(P) +
                (N - k) * Math.Log(1 - P)
            );
        }

public static void TanHLambda(IData data)
        {
            data.ApplyToAll(p =>
            {
                return 2.0 / (1 + Math.Exp(-2.0 * p)) - 1.0;
            });
        }

public double Pdf(double x)
        {
            if (x < 0 || x > 1)
                return 0;

            if (x < 1e-9)
            {
                if (Alpha > 1)
                    return 0;
                if (Abs(Alpha - 1) < 1e-9)
                    return Beta;
                return double.PositiveInfinity;
            }

            if (x > 1 - 1e-9)
            {
                if (Beta > 1)
                    return 0;
                if (Abs(Beta - 1) < 1e-9)
                    return Alpha;
                return double.PositiveInfinity;
            }

            if (Alpha < 1e-9 || Beta < 1e-9)
                return 0;

            return Exp((Alpha - 1) * Log(x) + (Beta - 1) * Log(1 - x) - BetaFunction.CompleteLogValue(Alpha, Beta));
        }

[MethodImpl(MethodImplOptions.AggressiveInlining), IntrinsicFunction("expf")]
        public static float Expf(float f)
        {
            return (float)Math.Exp((double)f);
        }

[ContextMethod("Экспонента", "Exp")]
        public double Exp(double p1)
        {
            return System.Math.Exp(p1);
        }

public double Cdf(double x)
        {
            if (x <= M)
                return 0;
            return Exp(-Pow(Z(x), -A));
        }

public static void SigmoidLambda(IData data)
        {
            data.ApplyToAll(p =>
            {
                return 1.0 / (1.0 + Math.Exp(-p));
            });
        }

public double Cdf(double x) => x <= Mu
            ? Exp((x - Mu) / Sigma) / 2
            : 1 - Exp(-(x - Mu) / Sigma) / 2;

internal override double PostInverseTransform(double x)
        {
            return Math.Exp(x);
        }

public double Pdf(double x) => Exp(-((x - Mean) / StandardDeviation).Sqr() / 2) / (StandardDeviation * Sqrt(2 * PI));

private double SigmoidFunc(double x)
        {
            return 1.0/(1 + Math.Exp(-x));
        }

public double Cdf(double x) => x < 0 ? 0 : 1 - Exp(-Pow(x / Lambda, K));

public override void Eval()
        {
            Value = Math.Exp(Arg.Value);
        }

public static double Sample(StdRandom random, double mu, double sigma) => 
            Math.Exp(NormalDistribution.Sample(random, mu, sigma));

[TestMethod]
        public void Test_Softmax_Execute()
        {

            // Softmax output
            softmax = new SoftmaxLayer();
            Data2D data = new Data2D(1,1,5,1);

            data[0,0,0,0] = 0.0;
            data[0,0,1,0] = 1.0;
            data[0,0,2,0] = 1.5;
            data[0,0,3,0] = 2.0;
            data[0,0,4,0] = 3.0;

            softmax.SetInput(data);
            softmax.Execute();

            Data2D output = softmax.GetOutput() as Data2D;

            // Expected output
            double[] expOu = new double[5];

            double sum = 0.0;
            sum += (Math.Exp(0.0) + Math.Exp(1.0) + Math.Exp(1.5) + Math.Exp(2.0) + Math.Exp(3.0));

            expOu[0] = Math.Exp(0.0) / sum;
            expOu[1] = Math.Exp(1.0) / sum;
            expOu[2] = Math.Exp(1.5) / sum;
            expOu[3] = Math.Exp(2.0) / sum;
            expOu[4] = Math.Exp(3.0) / sum;

            replacedert.AreEqual(output[0,0,0,0], expOu[0], 0.00000001);
            replacedert.AreEqual(output[0,0,1,0], expOu[1], 0.00000001);
            replacedert.AreEqual(output[0,0,2,0], expOu[2], 0.00000001);
            replacedert.AreEqual(output[0,0,3,0], expOu[3], 0.00000001);
            replacedert.AreEqual(output[0,0,4,0], expOu[4], 0.00000001);
        }

public static double Exp(this double d)
        {
            return Math.Exp(d);
        }

public static BigDecimal Exp(double exponent)
		{
			BigDecimal tmp = (BigDecimal)1;
			while (Math.Abs(exponent) > 100)
			{
				int diff = exponent > 0 ? 100 : -100;
				tmp *= Math.Exp(diff);
				exponent -= diff;
			}
			return tmp * Math.Exp(exponent);
		}

int sample(Random random, float[] preds, double temperature=1.0) {
      // step 1: apply temperature to predictions, and normalize them to create a probability distribution
      float sum = 0;
      for (int i=0; i<preds.Length; i++) {
        var p = (float)Math.Exp((Math.Log(Math.Max(preds[i], 1e-10)) / temperature));
        sum += p;
        preds[i] = p;
      }
      for (int i = 0; i < preds.Length; i++) { preds[i] /= sum; }

      // step 2: draw a random sample from this distribution
      var d = random.NextDouble();
      sum = 0;
      for (int i=0; i<preds.Length; i++) {
        sum += preds[i];
        if ( d<sum ) { return i; }
      }
      return preds.Length - 1;
    }

[MethodImpl(MethodImplOptions.AggressiveInlining), IntrinsicFunction("__expf")]
        public static float Expf(float f)
        {
            return (float)Math.Exp((double)f);
        }

private void Zoom(Point currentPosition)
        {
            double yDelta = _previousPosition2D.Y - currentPosition.Y;

            double scale = Math.Exp(yDelta / 100);    // e^(yDelta/100) is fairly arbitrary.

            _scale.ScaleX *= scale;
            _scale.ScaleY *= scale;
            _scale.ScaleZ *= scale;
        }

public double Pdf(double x)
        {
            if (x < 0)
                return 0;
            return Rate * Exp(-Rate * x);
        }

private double tanh(double x)
        {
            return 2.0 / (1 + Math.Exp(-2 * x)) - 1.0;
        }

public double Pdf(double x)
        {
            if (x <= M)
                return 0;
            double z = Z(x);
            return A / S * Pow(z, -1 - A) * Exp(-Pow(z, -A));
        }

public static CheapRuler FromTile(int y, int z, CheapRulerUnits units = CheapRulerUnits.Kilometers)
		{
			var n = Math.PI * (1 - 2 * (y + 0.5) / Math.Pow(2, z));
			var lat = Math.Atan(0.5 * (Math.Exp(n) - Math.Exp(-n))) * 180 / Math.PI;
			return new CheapRuler(lat, units);
		}

public double Pdf(double x)
        {
            double z = Z(x);
            return Exp(-(z + Exp(-z))) / S;
        }

[TestMethod]
        public void Test_ELu_Execute()
        {
            double alpha = 1.0;
            elu = new ELuLayer(alpha);

            Data2D data = new Data2D(2, 3, 1, 1);
            data[0, 0, 0, 0] = 4;
            data[0, 1, 0, 0] = 2;
            data[0, 2, 0, 0] = -2;

            data[1, 0, 0, 0] = 3;
            data[1, 1, 0, 0] = -1;
            data[1, 2, 0, 0] = -3;

            elu.SetInput(data);

            elu.Execute();

            Data2D output = elu.GetOutput() as Data2D;

            replacedert.AreEqual(output[0, 0, 0, 0], 4.0, 0.00000001);
            replacedert.AreEqual(output[0, 1, 0, 0], 2.0, 0.00000001);
            replacedert.AreEqual(output[0, 2, 0, 0], alpha*(Math.Exp(-2) - 1), 0.00000001);

            replacedert.AreEqual(output[1, 0, 0, 0], 3.0, 0.00000001);
            replacedert.AreEqual(output[1, 1, 0, 0], alpha * (Math.Exp(-1) - 1), 0.00000001);
            replacedert.AreEqual(output[1, 2, 0, 0], alpha * (Math.Exp(-3) - 1), 0.00000001);
        }

public double Pdf(double x) => Exp(-Abs(x - Mu) / Sigma) / 2 / Sigma;

public static double yToLat(double y)
    {
        double ts = Math.Exp(-y / R_MAJOR);
        double phi = PI_2 - 2 * Math.Atan(ts);
        double dphi = 1.0;
        int i = 0;
        while ((Math.Abs(dphi) > 0.000000001) && (i < 15))
        {
            double con = ECCENT * Math.Sin(phi);
            dphi = PI_2 - 2 * Math.Atan(ts * Math.Pow((1.0 - con) / (1.0 + con), COM)) - phi;
            phi += dphi;
            i++;
        }
        return RadToDeg(phi);
    }

public double Pdf(double x)
        {
            if (x < 1e-9)
                return 0;
            return Exp(-(Log(x) - Mean).Sqr() / (2 * StandardDeviation.Sqr())) / (x * StandardDeviation * Constants.Sqrt2Pi);
        }

public static void SoftmaxLambda(IData data)
        {
            Data2D dat = data as Data2D;
            for (int b = 0; b < dat.GetDimension().b; ++b)
            {
                double sum = 0.0;
                for (int i = 0; i < dat.GetDimension().c; ++i)
                {
                    sum += Math.Exp(dat[0, 0, i, b]);
                }

                for (int i = 0; i < dat.GetDimension().c; ++i)
                {
                    dat[0, 0, i, b] = Math.Exp(dat[0, 0, i, b]) / sum;
                }
            }
        }

public override double Next() => Exp(normalRandomGenerator.Next());

internal override void UpdateActualMaxMin()
        {
            if (this.PowerPadding)
            {
                double logBase = Math.Log(this.Base);
                var e0 = (int)Math.Floor(Math.Log(this.ActualMinimum) / logBase);
                var e1 = (int)Math.Ceiling(Math.Log(this.ActualMaximum) / logBase);
                if (!double.IsNaN(this.ActualMinimum))
                {
                    this.ActualMinimum = Math.Exp(e0 * logBase).RemoveNoiseFromDoubleMath();
                }

                if (!double.IsNaN(this.ActualMaximum))
                {
                    this.ActualMaximum = Math.Exp(e1 * logBase).RemoveNoiseFromDoubleMath();
                }
            }

            base.UpdateActualMaxMin();
        }

public double Pdf(double x)
        {
            double df2 = (df + 1) / 2;
            
            // Ln( Г((df + 1) / 2) / Г(df / 2) )
            double term1 = GammaFunction.LogValue(df2) - GammaFunction.LogValue(df / 2);

            // Ln( (1 + x^2 / df) ^ (-(df + 1) / 2) )
            double term2 = Log(1 + x.Sqr() / df) * -df2;
            
            return Exp(term1 + term2) / Sqrt(PI * df);
        }

public static double GetSkillChance(int skill, int difficulty, float factor = 0.03f)
        {
            var chance = 1.0 - (1.0 / (1.0 + Math.Exp(factor * (skill - difficulty))));

            return Math.Min(1.0, Math.Max(0.0, chance));
        }

public double Pdf(double x) => x < 0 ? 0 : K / Lambda * Pow(x / Lambda, K - 1) * Exp(-Pow(x / Lambda, K));

[Fact]
        public void DiffExp()
        {
            var x = new Variable();
            var func = Exp(x);

            var grad1 = func.Differentiate(Vec(x), NumVec(1));
            var grad2 = func.Differentiate(Vec(x), NumVec(-2));

            replacedert.Equal(NumVec(Math.Exp(1)), grad1);
            replacedert.Equal(NumVec(Math.Exp(-2)), grad2);
        }

public static void SoftPlusLambda(IData data)
        {
            data.ApplyToAll(p =>
            {
                return Math.Log(1 + Math.Exp(p));
            });
        }

public static double Exp(double power) {
            return Math.Exp(power);
        }

void GenerateDescedants (int level, Graph graph, AbstractGraphNode startNode)
		{
			if (level > MAX_LEVEL) {
				return;
			}
			for (int index = 0; index < Math.Exp(level); index++) {
				AbstractGraphNode descedantNode = graph.NewNode ();
				graph.NewEdge (startNode, descedantNode);

				GenerateDescedants (level + 1, graph, descedantNode);
			}
		}

private double SoftPlusFunc(double x)
        {
            return Math.Log(1 + Math.Exp(x));
        }

public static BigDecimal Exp(BigInteger exponent)
		{
			BigDecimal tmp = (BigDecimal)1;
			while (BigInteger.Abs(exponent) > 100)
			{
				int diff = exponent > 0 ? 100 : -100;
				tmp *= Math.Exp(diff);
				exponent -= diff;
			}
			double exp = (double)exponent;
			return (tmp * Math.Exp(exp));
		}

[ShaderMethod]
        public static float Sigmoid(float x)
        {
            return 1 / (1 + (float)Math.Exp(-x));
        }