text stringlengths 1 81 | start float64 0 10.1k | duration float64 0 24.9 |
|---|---|---|
You use the star for multiplication. | 2,906.39 | 1.88 |
Let's do one more. | 2,908.27 | 0.75 |
Printf percent I, divided
by percent i, is percent i, | 2,909.02 | 5.56 |
backslash n. xy divided by y--
so you use the forward slash in C | 2,914.58 | 5.88 |
to do division. | 2,920.46 | 1.042 |
And let's do one other. | 2,921.502 | 0.958 |
Remainder of percent i, divided
by percent i, is percent i. | 2,927.92 | 7.32 |
xy-- and now remainder
is what's left over. | 2,935.24 | 4.31 |
When you try dividing a
denominator into a numerator, | 2,939.55 | 3.43 |
how much is left over that
you couldn't divide out? | 2,942.98 | 2.59 |
>> So there isn't really,
necessarily, a symbol | 2,945.57 | 2.34 |
we've used in grade school for this. | 2,947.91 | 1.56 |
But there in C. You can
say x modulo y, where | 2,949.47 | 4.36 |
this percent sign in this context--
confusingly when you're inside | 2,953.83 | 4.17 |
of the double quotes,
inside of printf, percent | 2,958 | 2.17 |
is used as the format specifier. | 2,960.17 | 1.66 |
>> When you use percent outside of
that in a mathematical expression, | 2,961.83 | 3.59 |
it's the modulo operator for modular
arithmetic-- for our purposes | 2,965.42 | 4.49 |
here, just means, what is the
remainder of x divided by y? | 2,969.91 | 3.74 |
So x divided by y is x slash y. | 2,973.65 | 2.48 |
What's the remainder of x divided by y? | 2,976.13 | 2.09 |
It's x mod y, as a programmer would say. | 2,978.22 | 3.56 |
>> So if I made no mistakes here, let me
go ahead and make ints, plural, nice, | 2,981.78 | 6.52 |
and dot slash ints. | 2,988.3 | 1.71 |
And let's go ahead and
do, let's say, 1, 10. | 2,990.01 | 5.26 |
All right, 1 plus 10 is 11, check. | 2,995.27 | 3.12 |
1 minus 10 is negative 9, check. | 2,998.39 | 2.85 |
>> 1 times 10 is 10, check. | 3,001.24 | 2.18 |
1 divided by 10 is--
OK, we'll skip that one. | 3,003.42 | 3.67 |
Remainder of 1 divided by 10 is 1. | 3,007.09 | 2.39 |
That's correct. | 3,009.48 | 1.2 |
But there's a bug in here. | 3,010.68 | 1.95 |
>> So the one I put my
hand over, not correct. | 3,012.63 | 2.76 |
I mean, it's close to 0. | 3,015.39 | 1.28 |
1 divided by 10, you know, if we're
cutting some corners, sure, it's zero. | 3,016.67 | 4 |
But it should really be 1/10,
0.1, or 0.10, 0.1000, or so forth. | 3,020.67 | 7.38 |
>> It should not really be zero. | 3,028.05 | 2.55 |
Well, it turns out that the computer is
doing literally what we told it to do. | 3,030.6 | 5.39 |
We are doing math like x divided by y. | 3,035.99 | 3.47 |
And both x and y, per the lines
of code earlier, are integers. | 3,039.46 | 5.22 |
>> Moreover, on line 15, we are
telling printf, hey, printf plug-in | 3,044.68 | 5.76 |
an integer, plug-in an integer,
plug-in an integer-- specifically | 3,050.44 | 3.79 |
x, and then y, and then x
divided by y. x and y are ints. | 3,054.23 | 3.35 |
We're good there. | 3,057.58 | 1.48 |
>> But what is x divided by x? | 3,059.06 | 2.19 |
x divided by y should be,
mathematically, 1/10, or 0.1, | 3,061.25 | 5.54 |
which is a real number, a real number
having, potentially, a decimal point. | 3,066.79 | 4.81 |
It's not an integer. | 3,071.6 | 1.63 |
>> But what is the closest
integer to 1/10, or 0.1? | 3,073.23 | 5.06 |
Yeah, it kind of is zero. | 3,078.29 | 2.824 |
0.1 is like this much. | 3,081.114 | 0.916 |
And 1 is this much. | 3,082.03 | 0.86 |
So 1/10 is closer to
0 than it is to one. | 3,082.89 | 2.98 |
>> And so what C is doing for us--
kind of because we told it to-- | 3,085.87 | 4.93 |
is truncating that integer. | 3,090.8 | 1.8 |
It's taking the value, which again is
supposed to be something like 0.1000, | 3,092.6 | 7.94 |
0 and so forth. | 3,100.54 | 1.26 |
And it's truncating everything
after the decimal point | 3,101.8 | 3.52 |
so that all of this
stuff, because it doesn't | 3,105.32 | 2.19 |
fit in the notion of an integer, which
is just a number like negative 1, 0, 1, | 3,107.51 | 4.4 |
up and down, it throws away everything
after the decimal point because you | 3,111.91 | 3.92 |
can't fit a decimal point
in an integer by definition. | 3,115.83 | 3.19 |
>> So the answer here is zero. | 3,119.02 | 2.27 |
So how do we fix this? | 3,121.29 | 1.31 |
We need another solution all together. | 3,122.6 | 1.8 |
And we can do this, as follows. | 3,124.4 | 2.48 |
>> Let me go ahead and create a new
file, this one called floats.c. | 3,126.88 | 5.94 |
And save it here in the
same directory, float.c. | 3,132.82 | 3.68 |
And let me go ahead and copy
some of that code from earlier. | 3,139.36 | 3.9 |
>> But instead of getting
an int, let's do this. | 3,143.26 | 4.43 |
Give me a floating point value
called x. where a floating point | 3,147.69 | 3.347 |
value is just literally
something with a floating point. | 3,151.037 | 2.333 |
It can move to the left, to the right. | 3,153.37 | 1.04 |
It's a real number. | 3,154.41 | 1.12 |
>> And let me call not
get int, but get float, | 3,155.53 | 2.52 |
which also was among the menu
of options in the C250 library. | 3,158.05 | 3.37 |
Let's change y to a float. | 3,161.42 | 1.8 |
So this becomes get float. | 3,163.22 | 1.78 |
>> And now, we don't want to plug in ints. | 3,165 | 2.62 |
It turns out we have to use percent
f for float, percent f for float, | 3,167.62 | 5.51 |
and now save it. | 3,173.13 | 1.43 |
And now, fingers crossed, make
floats, nice, dot slash floats. | 3,174.56 | 6.66 |
x is going to be one 1. y
Is going to be 10 again. | 3,181.22 | 3.06 |
>> And, nice, OK my addition is correct. | 3,184.28 | 3.96 |
I was hoping for more,
but I forgot to write it. | 3,188.24 | 2 |
So let's go and fix this logical error. | 3,190.24 | 3.01 |
>> Let's go ahead and grab the following. | 3,193.25 | 3.03 |
We'll just do a little copy and paste. | 3,196.28 | 1.8 |
And I'm going to say minus. | 3,198.08 | 2 |
>> And I'm going to say times. | 3,200.08 | 1.81 |
And I'm going to say divided. | 3,201.89 | 2.17 |
And I'm not going to do modulo,
which is not as germane here, | 3,204.06 | 4.18 |
divided by f, and times plus--
OK, let's do this again. | 3,208.24 | 5.45 |
>> Make floats, dot slash floats,
and 1, 10, and-- nice, no, OK. | 3,213.69 | 10.52 |
So I'm an idiot. | 3,224.21 | 1.04 |
So this is very common
in computer science | 3,225.25 | 1.75 |
to make stupid mistakes like this. | 3,227 | 2.78 |
>> For pedagogical purposes,
what I really wanted to do | 3,229.78 | 3.32 |
was change the science here
to plus, to minus, to times, | 3,233.1 | 4.31 |
and to divide, as you hopefully
noticed during this exercise. | 3,237.41 | 3.73 |
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