mirror of
https://github.com/ProgrammingRust/mandelbrot
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Cargo.toml, src/main.rs: Update to match text in book.
This commit is contained in:
Jim Blandy
commit
4c0bce2e18
196
Cargo.lock
generated
196
Cargo.lock
generated
@ -1,5 +1,10 @@
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"checksum autocfg 0.1.6 (registry+https://github.com/rust-lang/crates.io-index)" = "b671c8fb71b457dd4ae18c4ba1e59aa81793daacc361d82fcd410cef0d491875"
|
||||
"checksum bitflags 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "aad18937a628ec6abcd26d1489012cc0e18c21798210f491af69ded9b881106d"
|
||||
"checksum byteorder 0.5.3 (registry+https://github.com/rust-lang/crates.io-index)" = "0fc10e8cc6b2580fda3f36eb6dc5316657f812a3df879a44a66fc9f0fdbc4855"
|
||||
"checksum byteorder 1.3.2 (registry+https://github.com/rust-lang/crates.io-index)" = "a7c3dd8985a7111efc5c80b44e23ecdd8c007de8ade3b96595387e812b957cf5"
|
||||
"checksum cc 1.0.37 (registry+https://github.com/rust-lang/crates.io-index)" = "39f75544d7bbaf57560d2168f28fd649ff9c76153874db88bdbdfd839b1a7e7d"
|
||||
"checksum cfg-if 0.1.9 (registry+https://github.com/rust-lang/crates.io-index)" = "b486ce3ccf7ffd79fdeb678eac06a9e6c09fc88d33836340becb8fffe87c5e33"
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"checksum color_quant 1.0.1 (registry+https://github.com/rust-lang/crates.io-index)" = "0dbbb57365263e881e805dc77d94697c9118fd94d8da011240555aa7b23445bd"
|
||||
"checksum crossbeam-deque 0.6.3 (registry+https://github.com/rust-lang/crates.io-index)" = "05e44b8cf3e1a625844d1750e1f7820da46044ff6d28f4d43e455ba3e5bb2c13"
|
||||
"checksum crossbeam-epoch 0.7.1 (registry+https://github.com/rust-lang/crates.io-index)" = "04c9e3102cc2d69cd681412141b390abd55a362afc1540965dad0ad4d34280b4"
|
||||
"checksum crossbeam-deque 0.7.1 (registry+https://github.com/rust-lang/crates.io-index)" = "b18cd2e169ad86297e6bc0ad9aa679aee9daa4f19e8163860faf7c164e4f5a71"
|
||||
"checksum crossbeam-epoch 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)" = "fedcd6772e37f3da2a9af9bf12ebe046c0dfe657992377b4df982a2b54cd37a9"
|
||||
"checksum crossbeam-queue 0.1.2 (registry+https://github.com/rust-lang/crates.io-index)" = "7c979cd6cfe72335896575c6b5688da489e420d36a27a0b9eb0c73db574b4a4b"
|
||||
"checksum crossbeam-utils 0.6.5 (registry+https://github.com/rust-lang/crates.io-index)" = "f8306fcef4a7b563b76b7dd949ca48f52bc1141aa067d2ea09565f3e2652aa5c"
|
||||
"checksum crossbeam-utils 0.6.6 (registry+https://github.com/rust-lang/crates.io-index)" = "04973fa96e96579258a5091af6003abde64af786b860f18622b82e026cca60e6"
|
||||
"checksum deflate 0.7.20 (registry+https://github.com/rust-lang/crates.io-index)" = "707b6a7b384888a70c8d2e8650b3e60170dfc6a67bb4aa67b6dfca57af4bedb4"
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"checksum either 1.5.2 (registry+https://github.com/rust-lang/crates.io-index)" = "5527cfe0d098f36e3f8839852688e63c8fff1c90b2b405aef730615f9a7bcf7b"
|
||||
"checksum enum_primitive 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "be4551092f4d519593039259a9ed8daedf0da12e5109c5280338073eaeb81180"
|
||||
"checksum flate2 0.2.20 (registry+https://github.com/rust-lang/crates.io-index)" = "e6234dd4468ae5d1e2dbb06fe2b058696fdc50a339c68a393aefbf00bc81e423"
|
||||
"checksum fuchsia-cprng 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
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||||
"checksum gif 0.9.2 (registry+https://github.com/rust-lang/crates.io-index)" = "e2e41945ba23db3bf51b24756d73d81acb4f28d85c3dccc32c6fae904438c25f"
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||||
"checksum glob 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)" = "8be18de09a56b60ed0edf84bc9df007e30040691af7acd1c41874faac5895bfb"
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"checksum inflate 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "e7e0062d2dc2f17d2f13750d95316ae8a2ff909af0fda957084f5defd87c43bb"
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"checksum jpeg-decoder 0.1.15 (registry+https://github.com/rust-lang/crates.io-index)" = "c8b7d43206b34b3f94ea9445174bda196e772049b9bddbc620c9d29b2d20110d"
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"checksum lazy_static 1.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "bc5729f27f159ddd61f4df6228e827e86643d4d3e7c32183cb30a1c08f604a14"
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"checksum libc 0.2.59 (registry+https://github.com/rust-lang/crates.io-index)" = "3262021842bf00fe07dbd6cf34ff25c99d7a7ebef8deea84db72be3ea3bb0aff"
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"checksum image 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)" = "1c3f4f5ea213ed9899eca760a8a14091d4b82d33e27cf8ced336ff730e9f6da8"
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"checksum inflate 0.2.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d1238524675af3938a7c74980899535854b88ba07907bb1c944abe5b8fc437e5"
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"checksum jpeg-decoder 0.1.16 (registry+https://github.com/rust-lang/crates.io-index)" = "c1aae18ffeeae409c6622c3b6a7ee49792a7e5a062eea1b135fbb74e301792ba"
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"checksum lazy_static 1.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "e2abad23fbc42b3700f2f279844dc832adb2b2eb069b2df918f455c4e18cc646"
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"checksum libc 0.2.62 (registry+https://github.com/rust-lang/crates.io-index)" = "34fcd2c08d2f832f376f4173a231990fa5aef4e99fb569867318a227ef4c06ba"
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"checksum lzw 0.10.0 (registry+https://github.com/rust-lang/crates.io-index)" = "7d947cbb889ed21c2a84be6ffbaebf5b4e0f4340638cba0444907e38b56be084"
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"checksum memoffset 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)" = "0f9dc261e2b62d7a622bf416ea3c5245cdd5d9a7fcc428c0d06804dfce1775b3"
|
||||
"checksum miniz-sys 0.1.12 (registry+https://github.com/rust-lang/crates.io-index)" = "1e9e3ae51cea1576ceba0dde3d484d30e6e5b86dee0b2d412fe3a16a15c98202"
|
||||
"checksum memoffset 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)" = "ce6075db033bbbb7ee5a0bbd3a3186bbae616f57fb001c485c7ff77955f8177f"
|
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"checksum nodrop 0.1.13 (registry+https://github.com/rust-lang/crates.io-index)" = "2f9667ddcc6cc8a43afc9b7917599d7216aa09c463919ea32c59ed6cac8bc945"
|
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"checksum num 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)" = "4703ad64153382334aa8db57c637364c322d3372e097840c72000dabdcf6156e"
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"checksum num-bigint 0.1.44 (registry+https://github.com/rust-lang/crates.io-index)" = "e63899ad0da84ce718c14936262a41cee2c79c981fc0a0e7c7beb47d5a07e8c1"
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@ -420,16 +421,19 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
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"checksum num-traits 0.1.43 (registry+https://github.com/rust-lang/crates.io-index)" = "92e5113e9fd4cc14ded8e499429f396a20f98c772a47cc8622a736e1ec843c31"
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"checksum num-traits 0.2.8 (registry+https://github.com/rust-lang/crates.io-index)" = "6ba9a427cfca2be13aa6f6403b0b7e7368fe982bfa16fccc450ce74c46cd9b32"
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"checksum num_cpus 1.10.1 (registry+https://github.com/rust-lang/crates.io-index)" = "bcef43580c035376c0705c42792c294b66974abbfd2789b511784023f71f3273"
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"checksum png 0.5.2 (registry+https://github.com/rust-lang/crates.io-index)" = "06208e2ee243e3118a55dda9318f821f206d8563fb8d4df258767f8e62bb0997"
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"checksum png 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "48f397b84083c2753ba53c7b56ad023edb94512b2885ffe227c66ff7edb61868"
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"checksum rand 0.4.6 (registry+https://github.com/rust-lang/crates.io-index)" = "552840b97013b1a26992c11eac34bdd778e464601a4c2054b5f0bff7c6761293"
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"checksum rand_core 0.3.1 (registry+https://github.com/rust-lang/crates.io-index)" = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
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"checksum rand_core 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d0e7a549d590831370895ab7ba4ea0c1b6b011d106b5ff2da6eee112615e6dc0"
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"checksum rayon 1.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "a4b0186e22767d5b9738a05eab7c6ac90b15db17e5b5f9bd87976dd7d89a10a4"
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"checksum rayon-core 1.5.0 (registry+https://github.com/rust-lang/crates.io-index)" = "ebbe0df8435ac0c397d467b6cad6d25543d06e8a019ef3f6af3c384597515bd2"
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"checksum rand_core 0.4.2 (registry+https://github.com/rust-lang/crates.io-index)" = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
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"checksum rayon 1.2.0 (registry+https://github.com/rust-lang/crates.io-index)" = "83a27732a533a1be0a0035a111fe76db89ad312f6f0347004c220c57f209a123"
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"checksum rdrand 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
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"checksum rustc-serialize 0.3.24 (registry+https://github.com/rust-lang/crates.io-index)" = "dcf128d1287d2ea9d80910b5f1120d0b8eede3fbf1abe91c40d39ea7d51e6fda"
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"checksum rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "138e3e0acb6c9fb258b19b67cb8abd63c00679d2851805ea151465464fe9030a"
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"checksum winapi 0.3.7 (registry+https://github.com/rust-lang/crates.io-index)" = "f10e386af2b13e47c89e7236a7a14a086791a2b88ebad6df9bf42040195cf770"
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"checksum scopeguard 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "b42e15e59b18a828bbf5c58ea01debb36b9b096346de35d941dcb89009f24a0d"
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"checksum semver 0.9.0 (registry+https://github.com/rust-lang/crates.io-index)" = "1d7eb9ef2c18661902cc47e535f9bc51b78acd254da71d375c2f6720d9a40403"
|
||||
"checksum semver-parser 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "388a1df253eca08550bef6c72392cfe7c30914bf41df5269b68cbd6ff8f570a3"
|
||||
"checksum winapi 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)" = "8093091eeb260906a183e6ae1abdba2ef5ef2257a21801128899c3fc699229c6"
|
||||
"checksum winapi-i686-pc-windows-gnu 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6"
|
||||
"checksum winapi-x86_64-pc-windows-gnu 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
|
||||
|
||||
@ -5,4 +5,4 @@ authors = ["Jim Blandy <jimb@red-bean.com>"]
|
||||
|
||||
[dependencies]
|
||||
num = "0.1.34"
|
||||
image = "0.10.4"
|
||||
image = "0.13.0"
|
||||
|
||||
146
src/main.rs
146
src/main.rs
@ -1,4 +1,25 @@
|
||||
#![allow(dead_code, unused_variables)]
|
||||
extern crate num;
|
||||
use num::Complex;
|
||||
|
||||
/// Try to determine if `c` is in the Mandelbrot set, using at most `limit`
|
||||
/// iterations to decide.
|
||||
///
|
||||
/// If `c` is not a member, return `Some(i)`, where `i` is the number of
|
||||
/// iterations it took for `c` to leave the circle of radius two centered on the
|
||||
/// origin. If `c` seems to be a member (more precisely, if we reached the
|
||||
/// iteration limit without being able to prove that `c` is not a member),
|
||||
/// return `None`.
|
||||
fn escape_time(c: Complex<f64>, limit: u32) -> Option<u32> {
|
||||
let mut z = Complex { re: 0.0, im: 0.0 };
|
||||
for i in 0..limit {
|
||||
z = z * z + c;
|
||||
if z.norm_sqr() > 4.0 {
|
||||
return Some(i);
|
||||
}
|
||||
}
|
||||
|
||||
None
|
||||
}
|
||||
|
||||
use std::str::FromStr;
|
||||
|
||||
@ -33,78 +54,72 @@ fn test_parse_pair() {
|
||||
assert_eq!(parse_pair::<f64>("0.5x1.5", 'x'), Some((0.5, 1.5)));
|
||||
}
|
||||
|
||||
/// Return the point on the complex plane corresponding to a given pixel in the
|
||||
/// bitmap.
|
||||
/// Parse a pair of floating-point numbers separated by a comma as a complex
|
||||
/// number.
|
||||
fn parse_complex(s: &str) -> Option<Complex<f64>> {
|
||||
match parse_pair(s, ',') {
|
||||
Some((re, im)) => Some(Complex { re, im }),
|
||||
None => None
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_parse_complex() {
|
||||
assert_eq!(parse_complex("1.25,-0.0625"),
|
||||
Some(Complex { re: 1.25, im: -0.0625 }));
|
||||
assert_eq!(parse_complex(",-0.0625"), None);
|
||||
}
|
||||
|
||||
/// Given the row and column of a pixel in the output image, return the
|
||||
/// corresponding point on the complex plane.
|
||||
///
|
||||
/// `bounds` is a pair giving the width and height of the bitmap. `pixel` is a
|
||||
/// pair indicating a particular pixel in that bitmap. The `upper_left` and
|
||||
/// `lower_right` parameters are points on the complex plane designating the
|
||||
/// area our bitmap covers.
|
||||
/// `bounds` is a pair giving the width and height of the image in pixels.
|
||||
/// `pixel` is a (column, row) pair indicating a particular pixel in that image.
|
||||
/// The `upper_left` and `lower_right` parameters are points on the complex
|
||||
/// plane designating the area our image covers.
|
||||
fn pixel_to_point(bounds: (usize, usize),
|
||||
pixel: (usize, usize),
|
||||
upper_left: (f64, f64),
|
||||
lower_right: (f64, f64))
|
||||
-> (f64, f64)
|
||||
upper_left: Complex<f64>,
|
||||
lower_right: Complex<f64>)
|
||||
-> Complex<f64>
|
||||
{
|
||||
// It might be nicer to find the position of the *middle* of the pixel,
|
||||
// instead of its upper left corner, but this is easier to write tests for.
|
||||
let (width, height) = (lower_right.0 - upper_left.0,
|
||||
upper_left.1 - lower_right.1);
|
||||
(upper_left.0 + pixel.0 as f64 * width / bounds.0 as f64,
|
||||
upper_left.1 - pixel.1 as f64 * height / bounds.1 as f64)
|
||||
let (width, height) = (lower_right.re - upper_left.re,
|
||||
upper_left.im - lower_right.im);
|
||||
Complex {
|
||||
re: upper_left.re + pixel.0 as f64 * width / bounds.0 as f64,
|
||||
im: upper_left.im - pixel.1 as f64 * height / bounds.1 as f64
|
||||
// Why subtraction here? pixel.1 increases as we go down,
|
||||
// but the imaginary component increases as we go up.
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_pixel_to_point() {
|
||||
assert_eq!(pixel_to_point((100, 100), (25, 75),
|
||||
(-1.0, 1.0), (1.0, -1.0)),
|
||||
(-0.5, -0.5));
|
||||
}
|
||||
|
||||
extern crate num;
|
||||
use num::Complex;
|
||||
|
||||
/// Try to determine whether the complex number `c` is in the Mandelbrot set.
|
||||
///
|
||||
/// A number `c` is in the set if, starting with zero, repeatedly squaring and
|
||||
/// adding `c` never causes the number to leave the circle of radius 2 centered
|
||||
/// on the origin; the number instead orbits near the origin forever. (If the
|
||||
/// number does leave the circle, it eventually flies away to infinity.)
|
||||
///
|
||||
/// If after `limit` iterations our number has still not left the circle, return
|
||||
/// `None`; this is as close as we come to knowing that `c` is in the set.
|
||||
///
|
||||
/// If the number does leave the circle before we give up, return `Some(i)`, where
|
||||
/// `i` is the number of iterations it took.
|
||||
fn escapes(c: Complex<f64>, limit: u32) -> Option<u32> {
|
||||
let mut z = Complex { re: 0.0, im: 0.0 };
|
||||
for i in 0..limit {
|
||||
z = z*z + c;
|
||||
if z.norm_sqr() > 4.0 {
|
||||
return Some(i);
|
||||
}
|
||||
}
|
||||
|
||||
return None;
|
||||
Complex { re: -1.0, im: 1.0 },
|
||||
Complex { re: 1.0, im: -1.0 }),
|
||||
Complex { re: -0.5, im: -0.5 });
|
||||
}
|
||||
|
||||
/// Render a rectangle of the Mandelbrot set into a buffer of pixels.
|
||||
///
|
||||
/// The `bounds` argument gives the width and height of the buffer `pixels`,
|
||||
/// which holds one grayscale pixel per byte. The `upper_left` and `lower_right`
|
||||
/// arguments specify points on the complex plane corresponding to the upper
|
||||
/// left and lower right corners of the pixel buffer.
|
||||
fn render(pixels: &mut [u8], bounds: (usize, usize),
|
||||
upper_left: (f64, f64), lower_right: (f64, f64))
|
||||
/// arguments specify points on the complex plane corresponding to the upper-
|
||||
/// left and lower-right corners of the pixel buffer.
|
||||
fn render(pixels: &mut [u8],
|
||||
bounds: (usize, usize),
|
||||
upper_left: Complex<f64>,
|
||||
lower_right: Complex<f64>)
|
||||
{
|
||||
assert!(pixels.len() == bounds.0 * bounds.1);
|
||||
|
||||
for r in 0 .. bounds.1 {
|
||||
for c in 0 .. bounds.0 {
|
||||
let point = pixel_to_point(bounds, (c, r),
|
||||
for row in 0 .. bounds.1 {
|
||||
for column in 0 .. bounds.0 {
|
||||
let point = pixel_to_point(bounds, (column, row),
|
||||
upper_left, lower_right);
|
||||
pixels[r * bounds.0 + c] =
|
||||
match escapes(Complex { re: point.0, im: point.1 }, 255) {
|
||||
pixels[row * bounds.0 + column] =
|
||||
match escape_time(point, 255) {
|
||||
None => 0,
|
||||
Some(count) => 255 - count as u8
|
||||
};
|
||||
@ -114,22 +129,21 @@ fn render(pixels: &mut [u8], bounds: (usize, usize),
|
||||
|
||||
extern crate image;
|
||||
|
||||
use std::fs::File;
|
||||
use std::io::Result;
|
||||
use image::png::PNGEncoder;
|
||||
use image::ColorType;
|
||||
use image::png::PNGEncoder;
|
||||
use std::fs::File;
|
||||
|
||||
/// Write the buffer `pixels`, whose dimensions are given by `bounds`, to the
|
||||
/// file named `filename`.
|
||||
fn write_image(filename: &str, pixels: &[u8], bounds: (usize, usize))
|
||||
-> Result<()>
|
||||
-> Result<(), std::io::Error>
|
||||
{
|
||||
let output = try!(File::create(filename));
|
||||
let output = File::create(filename)?;
|
||||
|
||||
let encoder = PNGEncoder::new(output);
|
||||
try!(encoder.encode(&pixels[..],
|
||||
encoder.encode(&pixels,
|
||||
bounds.0 as u32, bounds.1 as u32,
|
||||
ColorType::Gray(8)));
|
||||
ColorType::Gray(8))?;
|
||||
|
||||
Ok(())
|
||||
}
|
||||
@ -152,13 +166,15 @@ fn main() {
|
||||
|
||||
let bounds = parse_pair(&args[2], 'x')
|
||||
.expect("error parsing image dimensions");
|
||||
let upper_left = parse_pair(&args[3], ',')
|
||||
let upper_left = parse_complex(&args[3])
|
||||
.expect("error parsing upper left corner point");
|
||||
let lower_right = parse_pair(&args[4], ',')
|
||||
let lower_right = parse_complex(&args[4])
|
||||
.expect("error parsing lower right corner point");
|
||||
|
||||
let mut pixels = vec![0; bounds.0 * bounds.1];
|
||||
render(&mut pixels[..], bounds, upper_left, lower_right);
|
||||
|
||||
write_image(&args[1], &pixels[..], bounds).expect("error writing PNG file");
|
||||
render(&mut pixels, bounds, upper_left, lower_right);
|
||||
|
||||
write_image(&args[1], &pixels, bounds)
|
||||
.expect("error writing PNG file");
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user