Hack to get correct log file (#4873)

### Description

Match the logic in `tracing_appender::Rotation::DAILY` to generate the
correct log filename to report in `turbo daemon status`. This is kind of
a hack, but there did not appear to be an easy way to grab this value.

### Testing Instructions

Tested manually

Co-authored-by: Greg Soltis <Greg Soltis>

crates/turborepo-lib/Cargo.toml

@@ -68,6 +68,7 @@ sha2 = "0.10.6"
 shared_child = "1.0.0"
 sysinfo = "0.27.7"
 thiserror = "1.0.38"
+time = "0.3.20"
 tiny-gradient = { workspace = true }
 tokio = { workspace = true, features = ["full", "time"] }
 tokio-stream = { version = "0.1.12", features = ["net"] }

crates/turborepo-lib/src/commands/daemon.rs

@@ -1,6 +1,7 @@
 use std::{path::PathBuf, time::Duration};
 
 use pidlock::PidlockError::AlreadyOwned;
+use time::{format_description, OffsetDateTime};
 use tracing::{trace, warn};
 use turbopath::{AbsoluteSystemPathBuf, RelativeSystemPathBuf};
 
@@ -44,9 +45,10 @@ pub async fn daemon_client(command: &DaemonCommand, base: &CommandBase) -> Resul
         }
         DaemonCommand::Status { json } => {
             let status = client.status().await?;
+            let log_file = log_filename(&status.log_file)?;
             let status = DaemonStatus {
                 uptime_ms: status.uptime_msec,
-                log_file: status.log_file.into(),
+                log_file: log_file.into(),
                 pid_file: client.pid_file().to_owned(),
                 sock_file: client.sock_file().to_owned(),
             };
@@ -67,6 +69,16 @@ pub async fn daemon_client(command: &DaemonCommand, base: &CommandBase) -> Resul
     Ok(())
 }
 
+// log_filename matches the algorithm used by tracing_appender::Rotation::DAILY
+// to generate the log filename. This is kind of a hack, but there didn't appear
+// to be a simple way to grab the generated filename.
+fn log_filename(base_filename: &str) -> Result<String, time::Error> {
+    let now = OffsetDateTime::now_utc();
+    let format = format_description::parse("[year]-[month]-[day]")?;
+    let date = now.format(&format)?;
+    Ok(format!("{}.{}", base_filename, date))
+}
+
 #[tracing::instrument(skip(base, logging), fields(repo_root = %base.repo_root))]
 pub async fn daemon_server(
     base: &CommandBase,

crates/turborepo-lib/src/daemon/client.rs

@@ -152,6 +152,9 @@ pub enum DaemonError {
 
     #[error("unable to display output: {0}")]
     DisplayError(#[from] serde_json::Error),
+
+    #[error("unable to construct log file name: {0}")]
+    InvalidLogFile(#[from] time::Error),
 }
 
 impl From<Status> for DaemonError {