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authorDave Gauer <dave@ratfactor.com>2021-04-09 13:02:36 -0400
committerDave Gauer <dave@ratfactor.com>2021-04-09 13:02:36 -0400
commitdd31256b88f07146b97ddc8dd1181dfc8f4644e3 (patch)
tree3582998cd8f51acf3348bffa786484eff9252330
parente9cf13bce8d3bfc59542f0b59764a6c46756543a (diff)
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Added ex060 floats
-rw-r--r--build.zig4
-rw-r--r--exercises/060_floats.zig91
-rw-r--r--patches/patches/060_floats.patch4
3 files changed, 99 insertions, 0 deletions
diff --git a/build.zig b/build.zig
index a0a73d7..daf065f 100644
--- a/build.zig
+++ b/build.zig
@@ -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.
diff --git a/exercises/060_floats.zig b/exercises/060_floats.zig
new file mode 100644
index 0000000..6ff7b50
--- /dev/null
+++ b/exercises/060_floats.zig
@@ -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.
diff --git a/patches/patches/060_floats.patch b/patches/patches/060_floats.patch
new file mode 100644
index 0000000..d20986e
--- /dev/null
+++ b/patches/patches/060_floats.patch
@@ -0,0 +1,4 @@
+43c43
+< var shuttle_weight: f16 = 907.18 * 2200;
+---
+> var shuttle_weight: f32 = 907.18 * 2200.0;