Is floating point precision mutable or invariant?

The precision is fixed, which is exactly 53 binary digits for double-precision (or 52 if we exclude the implicit leading 1). This comes out to about 15 decimal digits. The OP asked me to elaborate on why having exactly 53 binary digits means “about” 15 decimal digits. To understand this intuitively, let’s consider a less-precise … Read more

How to avoid floating point errors? [duplicate]

This really has nothing to do with Python – you’d see the same behavior in any language using your hardware’s binary floating-point arithmetic. First read the docs. After you read that, you’ll better understand that you’re not adding one one-hundredth in your code. This is exactly what you’re adding: >>> from decimal import Decimal >>> … Read more

Can I specify a numpy dtype when generating random values?

Q: is it possible to specify a dtype for random numbers when I create them. A: No it isn’t. randn accepts the shape only as randn(d0, d1, …, dn) Simply try this: x = np.random.randn(10, 10).astype(‘f’) Or define a new function like np.random.randn2 = lambda *args, dtype=np.float64: np.random.randn(*args).astype(dtype) x = np.random.randn2(10, 10, dtype=”f”) If you … Read more

Does parseDouble exist in JavaScript?

It’s not possible to natively deal with a 21-digit precision number in JavaScript. JavaScript only has one kind of number: “number”, which is a IEEE-754 Double Precision (“double”) value. As such, parseFloat in JavaScript is the equivalent of a “parse double” in other languages. However, a number/”double” only provides 16 significant digits (decimal) of precision … Read more

Printf width specifier to maintain precision of floating-point value

I recommend @Jens Gustedt hexadecimal solution: use %a. OP wants “print with maximum precision (or at least to the most significant decimal)”. A simple example would be to print one seventh as in: #include <float.h> int Digs = DECIMAL_DIG; double OneSeventh = 1.0/7.0; printf(“%.*e\n”, Digs, OneSeventh); // 1.428571428571428492127e-01 But let’s dig deeper … Mathematically, the … Read more