} else {
		y1 = Pow(x, x-0.5) / y1
	}
	return y1, SqrtTwoPi * w * y2
}

// Gamma returns the Gamma function of x.
//
// Special cases are:
//
//	Gamma(+Inf) = +Inf
//	Gamma(+0) = +Inf
//	Gamma(-0) = -Inf
//	Gamma(x) = NaN for integer x < 0
//	Gamma(-Inf) = NaN
//	Gamma(NaN) = NaN
func Gamma(x float64) float64 {
	const Euler = 0.57721566490153286060651209008240243104215933593992 // A001620

Alexander Zielenski <******@****.***> 1697824555 -0700

          task alpha {
            description = 'ALPHA from sub project'
          }
          task beta {
            description = 'BETA from sub project'
          }
          task gamma {
            description = 'GAMMA from sub'
          }
        '''

        when:
        def buildInvocations = withConnection { ProjectConnection connection ->
            connection.getModel(BuildInvocations.class)
        }

	z3.Mul(z3, z3)
	z3.Sub(z3, gamma)
	if z3.Sign() == -1 {
		z3.Add(z3, curve.P)
	}
	z3.Sub(z3, delta)
	if z3.Sign() == -1 {
		z3.Add(z3, curve.P)
	}
	z3.Mod(z3, curve.P)

	beta.Lsh(beta, 2)
	beta.Sub(beta, x3)
	if beta.Sign() == -1 {
		beta.Add(beta, curve.P)
	}
	y3 := alpha.Mul(alpha, beta)

	gamma.Mul(gamma, gamma)
	gamma.Lsh(gamma, 3)
	gamma.Mod(gamma, curve.P)

        dtype: DT_FLOAT
        tensor_shape {
          dim {
            size: 2
          }
        }
        tensor_content: "\261OI?\224);>"
      }
    }
  }
}
node {
  name: "gamma"
  op: "Const"
  device: "/device:CPU:0"
  attr {
    key: "dtype"
    value {
      type: DT_FLOAT
    }
  }
  attr {
    key: "value"
    value {
      tensor {

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traces {

// What you see here may be used freely but it comes with no support or
// guarantee.
//
//   The two known misprints in the book are repaired here in the
// source listings for the gamma function and the incomplete beta
// integral.
//
//   Stephen L. Moshier
//   ******@****.***

// Complex natural logarithm
//
// DESCRIPTION:
//

// What you see here may be used freely but it comes with no support or
// guarantee.
//
//   The two known misprints in the book are repaired here in the
// source listings for the gamma function and the incomplete beta
// integral.
//
//   Stephen L. Moshier
//   ******@****.***

// Complex exponential function
//
// DESCRIPTION:
//

// What you see here may be used freely but it comes with no support or
// guarantee.
//
//   The two known misprints in the book are repaired here in the
// source listings for the gamma function and the incomplete beta
// integral.
//
//   Stephen L. Moshier
//   ******@****.***

// Complex power function
//
// DESCRIPTION:
//
// Raises complex A to the complex Zth power.