Exception for Kahan's Unum-Targeted Monster

• could not determine a ground truth

  1. y = 72.57319099964172

Specification

\[1 \leq y \land y \leq 9999\]

Math

\[\begin{array}{l} t_0 := \sqrt{y \cdot y + 1}\\ t_1 := \left|y - t\_0\right| - \frac{1}{y + t\_0}\\ t_2 := t\_1 \cdot t\_1 + {\left({10}^{-300}\right)}^{\left(10000 \cdot \left(y + 1\right)\right)}\\ \mathbf{if}\;t\_2 = 0:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;\frac{e^{t\_2} - 1}{t\_2}\\ \end{array} \]

FPCore

(FPCore (y)
  :precision binary64
  (let* ((t_0 (sqrt (+ (* y y) 1.0)))
       (t_1 (- (fabs (- y t_0)) (/ 1.0 (+ y t_0))))
       (t_2
        (+
         (* t_1 t_1)
         (pow (pow 10.0 -300.0) (* 10000.0 (+ y 1.0))))))
  (if (== t_2 0.0) 1.0 (/ (- (exp t_2) 1.0) t_2))))

C

double code(double y) {
	double t_0 = sqrt(((y * y) + 1.0));
	double t_1 = fabs((y - t_0)) - (1.0 / (y + t_0));
	double t_2 = (t_1 * t_1) + pow(pow(10.0, -300.0), (10000.0 * (y + 1.0)));
	double tmp;
	if (t_2 == 0.0) {
		tmp = 1.0;
	} else {
		tmp = (exp(t_2) - 1.0) / t_2;
	}
	return tmp;
}

Fortran

module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(y)
use fmin_fmax_functions
    real(8), intent (in) :: y
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_0 = sqrt(((y * y) + 1.0d0))
    t_1 = abs((y - t_0)) - (1.0d0 / (y + t_0))
    t_2 = (t_1 * t_1) + ((10.0d0 ** (-300.0d0)) ** (10000.0d0 * (y + 1.0d0)))
    if (t_2 == 0.0d0) then
        tmp = 1.0d0
    else
        tmp = (exp(t_2) - 1.0d0) / t_2
    end if
    code = tmp
end function

Java

public static double code(double y) {
	double t_0 = Math.sqrt(((y * y) + 1.0));
	double t_1 = Math.abs((y - t_0)) - (1.0 / (y + t_0));
	double t_2 = (t_1 * t_1) + Math.pow(Math.pow(10.0, -300.0), (10000.0 * (y + 1.0)));
	double tmp;
	if (t_2 == 0.0) {
		tmp = 1.0;
	} else {
		tmp = (Math.exp(t_2) - 1.0) / t_2;
	}
	return tmp;
}

Python

def code(y):
	t_0 = math.sqrt(((y * y) + 1.0))
	t_1 = math.fabs((y - t_0)) - (1.0 / (y + t_0))
	t_2 = (t_1 * t_1) + math.pow(math.pow(10.0, -300.0), (10000.0 * (y + 1.0)))
	tmp = 0
	if t_2 == 0.0:
		tmp = 1.0
	else:
		tmp = (math.exp(t_2) - 1.0) / t_2
	return tmp

Julia

function code(y)
	t_0 = sqrt(Float64(Float64(y * y) + 1.0))
	t_1 = Float64(abs(Float64(y - t_0)) - Float64(1.0 / Float64(y + t_0)))
	t_2 = Float64(Float64(t_1 * t_1) + ((10.0 ^ -300.0) ^ Float64(10000.0 * Float64(y + 1.0))))
	tmp = 0.0
	if (t_2 == 0.0)
		tmp = 1.0;
	else
		tmp = Float64(Float64(exp(t_2) - 1.0) / t_2);
	end
	return tmp
end

MATLAB

function tmp_2 = code(y)
	t_0 = sqrt(((y * y) + 1.0));
	t_1 = abs((y - t_0)) - (1.0 / (y + t_0));
	t_2 = (t_1 * t_1) + ((10.0 ^ -300.0) ^ (10000.0 * (y + 1.0)));
	tmp = 0.0;
	if (t_2 == 0.0)
		tmp = 1.0;
	else
		tmp = (exp(t_2) - 1.0) / t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[y_] := Block[{t$95$0 = N[Sqrt[N[(N[(y * y), $MachinePrecision] + 1.0), $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[(N[Abs[N[(y - t$95$0), $MachinePrecision]], $MachinePrecision] - N[(1.0 / N[(y + t$95$0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t$95$1 * t$95$1), $MachinePrecision] + N[Power[N[Power[10.0, -300.0], $MachinePrecision], N[(10000.0 * N[(y + 1.0), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]}, If[Equal[t$95$2, 0.0], 1.0, N[(N[(N[Exp[t$95$2], $MachinePrecision] - 1.0), $MachinePrecision] / t$95$2), $MachinePrecision]]]]]