mirror of
https://codeberg.org/andyscott/ziglings.git
synced 2024-12-22 06:03:09 -05:00
Added ex060 floats
This commit is contained in:
parent
1427d3b6f1
commit
b3f4773be4
3 changed files with 99 additions and 0 deletions
|
@ -306,6 +306,10 @@ const exercises = [_]Exercise{
|
|||
.main_file = "059_integers.zig",
|
||||
.output = "Zig is cool.",
|
||||
},
|
||||
.{
|
||||
.main_file = "060_floats.zig",
|
||||
.output = "Shuttle liftoff weight: 1995796kg",
|
||||
},
|
||||
};
|
||||
|
||||
/// Check the zig version to make sure it can compile the examples properly.
|
||||
|
|
91
exercises/060_floats.zig
Normal file
91
exercises/060_floats.zig
Normal file
|
@ -0,0 +1,91 @@
|
|||
//
|
||||
// Zig has support for IEEE-754 floating-point numbers in these
|
||||
// specific sizes: f16, f32, f64, f128. Floating point literals
|
||||
// may be writen in scientific notation:
|
||||
//
|
||||
// const a1: f32 = 1200.0; // 1,200
|
||||
// const a2: f32 = 1.2e+3; // 1,200
|
||||
// const b1: f32 = -500_000.0; // -500,000
|
||||
// const b2: f32 = -5.0e+5; // -500,000
|
||||
//
|
||||
// Hex floats can't use the letter 'e' because that's a hex
|
||||
// digit, so we use a 'p' instead:
|
||||
//
|
||||
// const hex: f16 = 0x2A.F7p+3; // Wow, that's arcane!
|
||||
//
|
||||
// Be sure to use a float type that is large enough to store your
|
||||
// value (both in terms of significant digits and scale).
|
||||
// Rounding may or may not be okay, but numbers which are too
|
||||
// large or too small become inf or -inf (positive or negative
|
||||
// infinity)!
|
||||
//
|
||||
// const pi: f16 = 3.1415926535; // rounds to 3.140625
|
||||
// const av: f16 = 6.02214076e+23; // Avogadro's inf(inity)!
|
||||
//
|
||||
// A float literal has a decimal point. When performing math
|
||||
// operations with numeric literals, ensure the types match. Zig
|
||||
// does not perform unsafe type coercions behind your back:
|
||||
//
|
||||
// var foo: f16 = 13.5 * 5; // ERROR!
|
||||
// var foo: f16 = 13.5 * 5.0; // No problem, both are floats
|
||||
//
|
||||
// Please fix the two float problems with this program and
|
||||
// display the result as a whole number.
|
||||
|
||||
const print = @import("std").debug.print;
|
||||
|
||||
pub fn main() void {
|
||||
// The approximate weight of the Space Shuttle upon liftoff
|
||||
// (including boosters and fuel tank) was 2,200 tons.
|
||||
//
|
||||
// We'll convert this weight from tons to kilograms at a
|
||||
// conversion of 907.18kg to the ton.
|
||||
var shuttle_weight: f16 = 907.18 * 2200;
|
||||
|
||||
// By default, float values are formatted in scientific
|
||||
// notation. Try experimenting with '{d}' and '{d:.3}' to see
|
||||
// how decimal formatting works.
|
||||
print("Shuttle liftoff weight: {d:.0}kg\n", .{shuttle_weight});
|
||||
}
|
||||
|
||||
// Floating further:
|
||||
//
|
||||
// As an example, Zig's f16 is a IEEE 754 "half-precision" binary
|
||||
// floating-point format ("binary16"), which is stored in memory
|
||||
// like so:
|
||||
//
|
||||
// 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0
|
||||
// | |-------| |-----------------|
|
||||
// | exponent significand
|
||||
// |
|
||||
// sign
|
||||
//
|
||||
// This example is the decimal number 3.140625, which happens to
|
||||
// be the closest representation of Pi we can make with an f16
|
||||
// due to the way IEEE-754 floating points store digits:
|
||||
//
|
||||
// * Sign bit 0 makes the number positive.
|
||||
// * Exponent bits 10000 are a scale of 16.
|
||||
// * Significand bits 1001001000 are the decimal value 584.
|
||||
//
|
||||
// IEEE-754 saves space by modifying these values: the value
|
||||
// 01111 is always subtracted from the exponent bits (in our
|
||||
// case, 10000 - 01111 = 1, so our exponent is 2^1) and our
|
||||
// significand digits become the decimal value _after_ an
|
||||
// implicit 1 (so 1.1001001000 or 1.5703125 in decimal)! This
|
||||
// gives us:
|
||||
//
|
||||
// 2^1 * 1.5703125 = 3.140625
|
||||
//
|
||||
// Feel free to forget these implementation details immediately.
|
||||
// The important thing to know is that floating point numbers are
|
||||
// great at storing big and small values (f64 lets you work with
|
||||
// numbers on the scale of the number of atoms in the universe),
|
||||
// but digits may be rounded, leading to results which are less
|
||||
// precise than integers.
|
||||
//
|
||||
// Fun fact: sometimes you'll see the significand labeled as a
|
||||
// "mantissa" but Donald E. Knuth says not to do that.
|
||||
//
|
||||
// C compatibility fact: There is also a Zig floating point type
|
||||
// specifically for working with C ABIs called c_longdouble.
|
4
patches/patches/060_floats.patch
Normal file
4
patches/patches/060_floats.patch
Normal file
|
@ -0,0 +1,4 @@
|
|||
43c43
|
||||
< var shuttle_weight: f16 = 907.18 * 2200;
|
||||
---
|
||||
> var shuttle_weight: f32 = 907.18 * 2200.0;
|
Loading…
Reference in a new issue