|Desktop Computing Power
techBASIC brings the power of a desktop computer to your iPhone/iPad for programming, collecting and analyzing data, and visualizing and manipulating stunning 3D graphics. It’s a full implementation of the famously easy to use BASIC Programming Language with specialized array and matrix commands built in.
During the time I was learning and developing programs in SmartBASIC, I ran into problems when working on papers and research in my cosmolbou fields. If I tried to expand the exponent of the mass of the Sun, for example, 2*10^30, I should get 2 followed by 30 zeroes/
Instead, in SmartBASIC, as is in the language it is written in, C/C++, it uses the 8-11-53 mantassia method of precision for all number less than 2^53-1, or 9,007,199,254,740,992 (or just more than 9 Quadrillion).
For most business applications, this is perfectly fine. Our currency is based on the debt sytem, according to the Federal Reserve’s own document, and we are $20 trillion in debt today (as of Jan 25, 2017). That is 2 followed by 12 zeroes, well within the precision computational powers of SmartBASIC.
What happens when you need to calculate the temperature of a black hole 30 times the mass of the Sun, or (2*10^30)*30?
First, when you convert in SmartBASIC your exponent of 2E+30 into a long string, you expect to see 2,000,000,000,000,000,000,000,000,000,000 ( or 2 Nonillion). But SmartBASIC, since it only represents numbers upt to 2^53 with precision, you get: 2,000,000,000,000,000,039,769,249,677,312. Where did 39,769,249,677,312 come from? They are all supposed to be zeroes. All I did was expand the exponent into a long string.
I was told that the mantissa was only accurate to seven numbers, and that the rest was due to the unprecise way SmarBASIC, or C/C++ or the hardware math chip handles large numbers.
So in looking for an alternative, I, with the help of a frield, found techBASIC, and I was hooked when a scientist said it worked great with large numbers and it is calculus ready. so I decided to do a small experiment, as I never worked with a programming language that had such a low threshold for precision numbers, and all my calculations were wrong!