We use 64-bit MATLAB 2012b, Windows 7 and PC based on Core 2 Quad CPU. Most professional or research software is compiled in a general programming. Both systems fall short for specialized applications. It is not intended to be used as a professional tool in industry. Euler Math Toolbox is for education and research. We compare optimized quadruple precision mode in our toolbox with Symbolic Math Toolbox from MathWorks. Matlab is backed up by a group of commercial programmers. Quadruple precision numbers and operations are fully compliant with IEEE 754-2008 standard. When you delete a symbolic variable from the MATLAB ® workspace using clear, all assumptions that you set on that variable remain in the symbolic engine. In Mathematica, symbol is used to show equal to or result of equation whereas, Matlab dont show the same as this. Mathematica is fast to do symbolic calculations as compared to Matlab.

To retain previous assumptions while adding an assumption, use assumeAlso. Matlab can’t be a scientific calculator whereas Mathematica is good for being a scientific calculator. Also this allows more efficient usage of hardware capabilities of modern CPUs, even exploiting some of the advanced instructions, not to mention possibilities of harnessing power of the GPU! assume removes any assumptions previously set on the symbolic variables. Quadruple precision routines have an advantage of knowing size of numbers in advance thus avoiding expensive memory allocations.

Toolbox automatically switches to the fast quadruple routines if the user asks toolbox to operate with the precision of 34 decimal digits.

The other is highly optimized for quadruple precision (128-bit or 34 decimal digits) computations.

The first variant is truly precision independent, capable of computing results with any required precision (same as before).

In more details, new core engine of toolbox (written in Assembler/C++) has two different variants for every routine: Now toolbox is heavily optimized for computations with quadruple precision. In order to improve performance we have made important changes to the toolbox recently.

Matlab symbolic math toolbox vs mathcad