On Mon, Jul 20, 2015 at 11:06 AM, Przemek Klosowski <address@hidden> wrote:
On 07/19/2015 05:48 AM, Leo07nard wrote:
I have a warning during the solution. it is : " warning: Using rat() heuristics for double-precision input. " Do you know what is this?
Basically, when you use a number such as 1.0/3.0, it can mean two different things: either 1/3, which is an exact rational, or a floating point number which is not equal to 1/3. Symbolic manipulations prefer the rational representation because it is infinitely precise, but they can't be sure that the user wanted that, hence the warning.
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Here is a way to study what is happening.
syms a b
a="1/3"
b=1/3
c=sym("1/3")
d=vpa(1/3)
e=vpa("1/3")
a1=a*7
b1=b*7
c1=c*7
d1=d*7
e1=e*7
the results are:
a = 1/3
b = 0.33333
c = (sym) 1/3
d = (sym) 0.33333333333333331482961625624739
e = (sym) 0.33333333333333333333333333333333
a1 =
343 329 357
b1 = 2.3333
c1 = (sym) 7/3
d1 = (sym) 2.3333333333333332038073137937317
e1 = (sym) 2.3333333333333333333333333333333
a1 is 7 times the ascii values of the 3 chars 1 / 3