On Mon, 26 Sep 2011 16:19:55 -0700, Paul Berry wrote:
> The formula we were previously using for asinh:
>
> asinh x = ln(x + sqrt(x * x + 1))
>
> is numerically unstable: when x is a large negative value, the quantity
>
> x + sqrt(x * x + 1)
>
> is a small positive value (on the order
On 09/26/2011 04:19 PM, Paul Berry wrote:
The formula we were previously using for asinh:
asinh x = ln(x + sqrt(x * x + 1))
is numerically unstable: when x is a large negative value, the quantity
x + sqrt(x * x + 1)
is a small positive value (on the order of 1/(2|x|)). Since the
lo
On 27 September 2011 10:12, Chad Versace wrote:
> On 09/26/2011 04:19 PM, Paul Berry wrote:
>
>> The formula we were previously using for asinh:
>>
>> asinh x = ln(x + sqrt(x * x + 1))
>>
>> is numerically unstable: when x is a large negative value, the quantity
>>
>> x + sqrt(x * x + 1)
On 09/26/2011 04:19 PM, Paul Berry wrote:
The formula we were previously using for asinh:
asinh x = ln(x + sqrt(x * x + 1))
is numerically unstable: when x is a large negative value, the quantity
x + sqrt(x * x + 1)
is a small positive value (on the order of 1/(2|x|)). Since the
lo
The formula we were previously using for asinh:
asinh x = ln(x + sqrt(x * x + 1))
is numerically unstable: when x is a large negative value, the quantity
x + sqrt(x * x + 1)
is a small positive value (on the order of 1/(2|x|)). Since the
logarithm function is very sensitive in this ran
