dollarDecimal¶

Converts a fractional price to a decimal price.

Synopsis¶

dollarDecimal (fractionalDollar, fraction)

Required Arguments¶

float fractionalDollar (Input): Whole number of dollars plus the numerator, as the fractional part.
int fraction (Input): Denominator of the fractional dollar. fraction must be positive.

Return Value¶

The dollar price expressed as a decimal number. The dollar price is the whole number part of fractional-dollar plus its decimal part divided by fraction. If no result can be computed, NaN is returned.

Description¶

Function dollarDecimal converts a dollar price, expressed as a fraction, into a dollar price, expressed as a decimal number.

It is computed using the following:

\[\mathit{idollar} + \left[\mathit{fractionalDollar} - \mathit{idollar}\right] * \frac{10^{(\mathrm{ifrac}+1)}}{\mathit{fraction}}\]

where idollar is the integer part of fractionalDollar, and ifrac is the integer part of log(fraction).

Example¶

In this example, dollarDecimal converts $1 1/4 to $1.25.

from __future__ import print_function
from numpy import *
from pyimsl.math.dollarDecimal import dollarDecimal

fractional_dollar = 1.1
fraction = 4

dollardec = dollarDecimal(fractional_dollar, fraction)
print("The fractional dollar $1 1/4 = $%.2f." % (dollardec))

Output¶

The fractional dollar $1 1/4 = $1.25.