The flavor float describes a random floating-point number in a particular range.

To describe a flavor of a random floating-point number, use either float or float(opts) (where opts is described following) as the argument to RandomTools[Generate] or as part of a structured flavor.

By default, the flavor float describes a random floating-point number logarithmically distributed in the range epsilon..1.0 - epsilon, inclusive, where epsilon = 10e-Digits.

You can modify the properties of the random floating-point number by using the float(opts) form of this flavor. The opts argument can contain one or more of the following equations.

range = a..b

This option specifies the range from which the random float is chosen. The range endpoints a and b are numeric and when using method=logarithmic, either a >= 0.0 or b <= 0.0.  All numerics are evaluated by using the setting of the digits option.

If $a=0.$, then $a$ is set to the smallest value of the form $\mathrm{1eN}$ such that $b+\mathrm{1eN}>b$. If $b=0.$, then $b$ is set to the smallest value of the form $-\mathrm{1eN}$ such that $a-\mathrm{1eN}<a$.

If $b<a$, an exception is raised.

digits = posint

This option specifies a positive integer to use as the Digits setting. The default setting is the current setting of the Digits environment variable.

method = uniform or logarithmic

This option specifies whether the floating-point number should be chosen logarithmically or uniformly from the interval.

The logarithmic method is identical to listing all of the unique floating-point numbers that are found between the endpoints, and then choosing one of these randomly.

The uniform method is similar to sampling from a uniform distribution that is bounded by the endpoints, and then converting this result into a floating-point number.

The default value for this option is uniform.

$\mathrm{with}\left(\mathrm{RandomTools}\right)\&colon;$

$\mathrm{Generate}\left(\mathrm{float}\right)$

$0.2342493224$

$\mathrm{Generate}\left(\mathrm{float}\left(\mathrm{range}=2.532..7.723\&comma;\mathrm{digits}=4\right)\right)$

$2.537$

$\left[\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{float}\right)\&comma;i=1..10\right)\right]$

$\left[0.4077358422\&comma;0.5684678711\&comma;0.3475034102\&comma;0.2026591600\&comma;0.5479226237\&comma;0.008823971507\&comma;0.2074604148\&comma;0.9290936515\&comma;0.6664697983\&comma;0.3909313924\right]$

$\mathrm{sort}\left(\left[\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{float}\left(\mathrm{range}=0.0321..162.0\&comma;\mathrm{digits}=3\right)\right)\&comma;i=1..10\right)\right]\right)$

$\left[10.4\&comma;15.9\&comma;58.9\&comma;64.2\&comma;66.7\&comma;87.8\&comma;89.0\&comma;91.4\&comma;124.\&comma;129.\right]$

$\mathrm{sort}\left(\left[\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{float}\left(\mathrm{range}=0.0321..162.0\&comma;\mathrm{digits}=3\&comma;\mathrm{method}=\mathrm{logarithmic}\right)\right)\&comma;i=1..10\right)\right]\right)$

$\left[0.0475\&comma;0.0522\&comma;0.0778\&comma;0.0963\&comma;0.237\&comma;0.289\&comma;0.801\&comma;0.918\&comma;9.15\&comma;87.1\right]$

$\mathrm{Matrix}\left(3\&comma;3\&comma;\mathrm{Generate}\left(\mathrm{float}\left(\mathrm{range}=2..7\right)\mathrm{identical}\left(x\right)+\mathrm{float}\left(\mathrm{range}=2..7\right)\&comma;\mathrm{makeproc}=\mathrm{true}\right)\right)$

$\left[\begin{array}{ccc}6.832623175x+4.850164008& 2.540721923x+2.219972873& 2.156513983x+3.755486969\\ 4.094092595x+5.955127111& 5.468319344x+2.012105075& 5.052449900x+5.323948758\\ 5.765644424x+5.471087299& 2.076338300x+5.527224675& 3.817480335x+2.678852156\end{array}\right]$

$\mathrm{plots}\left[\mathrm{listplot}\right]\left(\mathrm{sort}\left(\left[\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{float}\left(\mathrm{range}=0.0321..162.0\&comma;\mathrm{digits}=3\right)\right)\&comma;i=1..20\right)\right]\right)\right)$

$\mathrm{plots}\left[\mathrm{listplot}\right]\left(\mathrm{sort}\left(\left[\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{float}\left(\mathrm{range}=0.0321..162.0\&comma;\mathrm{digits}=3\&comma;\mathrm{method}=\mathrm{uniform}\right)\right)\&comma;i=1..20\right)\right]\right)\right)$