From 6600d264d6ede1592bcc776e9f339be3572e5992 Mon Sep 17 00:00:00 2001
From: William Gurecky <william.gurecky@gmail.com>
Date: Thu, 14 Mar 2024 02:56:40 -0400
Subject: [PATCH] adds new large sparse system example

---
 Cargo.toml                      |    1 +
 examples/data/fidap001.txt      | 4374 +++++++++++++++++++++++++++++++
 examples/data/fidap001_rhs1.txt |  216 ++
 examples/data/readme.md         |    3 +
 examples/ex_1.rs                |   58 +
 5 files changed, 4652 insertions(+)
 create mode 100644 examples/data/fidap001.txt
 create mode 100644 examples/data/fidap001_rhs1.txt
 create mode 100644 examples/data/readme.md
 create mode 100644 examples/ex_1.rs

diff --git a/Cargo.toml b/Cargo.toml
index e53f030..ee5c9ff 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -13,6 +13,7 @@ name = "faer_gmres"
 path = 'src/lib.rs'
 
 [dependencies]
+csv = "1.3.0"
 thiserror = "1.0"
 assert_approx_eq = "1.1.0"
 num-traits = "0.2.18"
diff --git a/examples/data/fidap001.txt b/examples/data/fidap001.txt
new file mode 100644
index 0000000..f5b4382
--- /dev/null
+++ b/examples/data/fidap001.txt
@@ -0,0 +1,4374 @@
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diff --git a/examples/data/fidap001_rhs1.txt b/examples/data/fidap001_rhs1.txt
new file mode 100644
index 0000000..86ec0e4
--- /dev/null
+++ b/examples/data/fidap001_rhs1.txt
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diff --git a/examples/data/readme.md b/examples/data/readme.md
new file mode 100644
index 0000000..cfcdc76
--- /dev/null
+++ b/examples/data/readme.md
@@ -0,0 +1,3 @@
+Data from:
+
+https://math.nist.gov/MatrixMarket/data/SPARSKIT/
diff --git a/examples/ex_1.rs b/examples/ex_1.rs
new file mode 100644
index 0000000..4044ab1
--- /dev/null
+++ b/examples/ex_1.rs
@@ -0,0 +1,58 @@
+use faer_gmres::{gmres, restarted_gmres, JacobiPreconLinOp};
+use faer::prelude::*;
+use faer::sparse::*;
+use faer::mat;
+use std::error::Error;
+use csv::Reader;
+
+
+fn main() {
+    // read the sparse matrix from file
+    let mut a_triplets = vec![];
+    let file = std::fs::File::open("./examples/data/fidap001.txt").unwrap();
+    let mut rdr = csv::ReaderBuilder::new()
+        .has_headers(false)
+        .delimiter(b' ')
+        .flexible(true)
+        .from_reader(file);
+    for result in rdr.records() {
+        let record = result.unwrap();
+        let idx_i = record[0].parse::<usize>().unwrap() - 1;
+        let idx_j = record[1].parse::<usize>().unwrap() - 1;
+        let val = record[record.len()-1].parse::<f64>().unwrap();
+        a_triplets.push((idx_i, idx_j, val));
+    }
+    // read the rhs from file
+    let mut b_rhs = vec![];
+    let file = std::fs::File::open("./examples/data/fidap001_rhs1.txt").unwrap();
+    let mut rdr = csv::ReaderBuilder::new()
+        .has_headers(false)
+        .delimiter(b' ')
+        .from_reader(file);
+    for result in rdr.records() {
+        let record = result.unwrap();
+        let val = record[record.len()-1].parse::<f64>().unwrap();
+        b_rhs.push(val);
+    }
+
+    // create sparse mat
+    let a_test = SparseColMat::<usize, f64>::try_new_from_triplets(
+        216, 216,
+        &a_triplets).unwrap();
+
+    // create rhs
+    let mut rhs = faer::Mat::zeros(216, 1);
+    for (i, rhs_val) in b_rhs.into_iter().enumerate() {
+        rhs.write(i, 0, rhs_val);
+    }
+
+    // init guess
+    let x0 = faer::Mat::zeros(216, 1);
+
+    // solve the system
+    let (res_x, err, iters) = gmres(a_test.as_ref(), rhs.as_ref(), x0.as_ref(), 500, 1e-8, None).unwrap();
+    println!("Result x: {:?}", res_x);
+    println!("Error x: {:?}", err);
+    println!("Iters : {:?}", iters);
+
+}