Peter Mitsis 83d00839ed fvi: Refactor solution to quadratic formula ...

The classic solution to the quadratic equation ...
     a*x*x + b*x + c = 0
is ...
         -b +- sqrt(b*b - 4*ac)
     x = ----------------------
                 2*a

This can be optimized by substituting b = 2*B.
         -2*B +- sqrt((2*B)*(2*B) - 4*a*c)
     x = ---------------------------------
                       2*a

This expands to ...
         -2*B +- sqrt(4*B*B - 4*a*c)
     x = ---------------------------
                    2*a

And simplifies to ...
         -2*B +- 2*sqrt(B*B - 4*a*c)
     x = ---------------------------
                    2*a

         -B +- sqrt(B*B - a*c)
     x = ---------------------
                  a

Signed-off-by: Peter Mitsis <[email protected]>

2015-07-15 09:18:47 -04:00

..

bitarray.h

revert portej05's removal of the bitstring code

2010-06-14 06:56:52 +00:00

fix.cpp

The big CVS comment removal. This chops approx. 3.5mb off a full checkout.

2009-06-20 08:08:20 +00:00

fix.h

Documentation: Remove redundant #includes

2012-04-22 13:36:31 +00:00

floating.cpp

xt branch: additional optimizations using RAND_MAX_1f

2014-10-12 18:22:12 +10:00

floating.h

Refactor macros fl_radians() and fl_degrees()

2015-07-15 09:08:19 -04:00

fvi.cpp

fvi: Refactor solution to quadratic formula

2015-07-15 09:18:47 -04:00

fvi.h

More application of static and const keywords

2015-06-28 09:09:26 -04:00

spline.cpp

Refactor bez_fact()

2015-07-15 09:08:19 -04:00

spline.h

The big CVS comment removal. This chops approx. 3.5mb off a full checkout.

2009-06-20 08:08:20 +00:00

staticrand.cpp

First version of our Documentation system, using automated Doxygen source code comments

2011-02-26 01:15:51 +00:00

staticrand.h

A couple of other small changes to staticrand.cpp|h to address readability

2011-02-21 14:13:23 +00:00

vecmat.cpp

Streamline vm_quaternion_rotate()

2015-07-05 00:03:31 -04:00

vecmat.h

Add static and const keywords to vector math routines

2015-06-20 08:01:25 -04:00