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value.rs
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#[cfg(feature = "value")]
use exmex::{exerr, ExResult, Express, FlatExVal, Val};
#[cfg(feature = "value")]
mod utils;
#[test]
#[cfg(feature = "value")]
fn test_vars() -> ExResult<()> {
let expr = exmex::parse_val::<i32, f64>("x+5.3")?;
utils::assert_float_eq_f64(expr.eval(&[Val::Float(3.4)])?.to_float()?, 8.7);
let expr = exmex::parse_val::<i32, f64>("-(x1 if x0 else x2)+5.3")?;
let res = expr
.eval(&[Val::Bool(true), Val::Float(3.4), Val::Int(3)])?
.to_float()?;
utils::assert_float_eq_f64(res, 1.9);
let expr = exmex::parse_val::<i64, f32>("-sin(x)+5.3")?;
utils::assert_float_eq::<f32>(
expr.eval(&[Val::Float(2.2)])?.to_float()?,
-2.2f32.sin() + 5.3,
1e-6,
0.0,
"",
);
let expr = exmex::parse_val::<i64, f32>("-sin(x) if y > 0 else z + 3")?;
utils::assert_float_eq::<f32>(
expr.eval(&[Val::Float(1.0), Val::Int(2), Val::Int(3)])?
.to_float()?,
-1f32.sin(),
1e-6,
0.0,
"",
);
assert_eq!(
expr.eval(&[Val::Float(1.0), Val::Int(-1), Val::Int(3)])?
.to_int()?,
6,
);
let expr = exmex::parse_val::<i32, f64>("z if false else 2")?;
println!("{:#?}", expr);
assert_eq!(expr.eval(&[Val::Int(-3)])?.to_int()?, 2,);
Ok(())
}
#[test]
#[cfg(feature = "value")]
#[cfg(feature = "partial")]
fn test_value_partial() -> ExResult<()> {
use exmex::Differentiate;
use crate::utils::assert_float_eq_f64;
let expr = exmex::parse_val::<i32, f64>("x if x > 0 else (2*x if x >= -1 else -x)")?;
assert_float_eq_f64(1.0, expr.eval(&[Val::Float(1.0)])?.to_float()?);
assert_float_eq_f64(0.0, expr.eval(&[Val::Float(0.0)])?.to_float()?);
assert_float_eq_f64(2.0, expr.eval(&[Val::Float(-2.0)])?.to_float()?);
assert_float_eq_f64(-2.0, expr.eval(&[Val::Float(-1.0)])?.to_float()?);
println!("{expr}");
let deri = expr.partial(0).unwrap();
for x in [-2.0, -1.5] {
let res = deri.eval(&[Val::Float(x)])?.to_float()?;
assert_float_eq_f64(res, -1.0);
}
for x in [1.0, 0.5, 3.0] {
let res = deri.eval(&[Val::Float(x)])?.to_float()?;
assert_float_eq_f64(res, 1.0);
}
for x in [-1.0, -0.5, 0.0] {
let res = deri.eval(&[Val::Float(x)])?.to_float()?;
assert_float_eq_f64(res, 2.0);
}
let sin = exmex::parse_val::<i32, f64>("sin(x)")?;
let cos = sin.partial(0).unwrap();
let res = cos.eval(&[Val::Float(34.0)])?.to_float()?;
assert_float_eq_f64(res, 34.0f64.cos());
let sin = exmex::parse_val::<i32, f64>("sin(x) if x < 0 else sin(x)")?;
let cos = sin.partial(0).unwrap();
for x in [-1.0, -0.5, 0.0, 0.5, 1.0] {
let res = cos.eval(&[Val::Float(x)])?.to_float()?;
assert_float_eq_f64(res, x.cos());
}
Ok(())
}
#[test]
#[cfg(feature = "value")]
fn test_readme() -> ExResult<()> {
let expr = exmex::parse_val::<i32, f64>("0 if b < c else 1.2")?;
let res = expr.eval(&[Val::Float(34.0), Val::Int(21)])?.to_float()?;
assert!((res - 1.2).abs() < 1e-12);
#[cfg(feature = "partial")]
{
use exmex::Differentiate;
let expr = exmex::parse_val::<i32, f64>("3*x if x > 1 else x^2")?;
let deri = expr.partial(0)?;
let res = deri.eval(&[Val::Float(1.0)])?.to_float()?;
assert!((res - 2.0).abs() < 1e-12);
let res = deri.eval(&[Val::Float(7.0)])?.to_float()?;
assert!((res - 3.0).abs() < 1e-12);
}
Ok(())
}
#[test]
#[cfg(feature = "serde")]
#[cfg(feature = "value")]
fn test_serde_public() {
use exmex::FlatExVal;
let s = "{x}^3.0 if z < 0 else y";
// flatex
let flatex = FlatExVal::<i32, f64>::parse(s).unwrap();
let serialized = serde_json::to_string(&flatex).unwrap();
let deserialized = serde_json::from_str::<FlatExVal<i32, f64>>(serialized.as_str()).unwrap();
assert_eq!(deserialized.var_names().len(), 3);
let res = deserialized
.eval(&[Val::Float(2.0), Val::Bool(false), Val::Float(1.0)])
.unwrap();
assert_eq!(res.to_bool().unwrap(), false);
let res = deserialized
.eval(&[Val::Float(2.0), Val::Float(1.0), Val::Int(-1)])
.unwrap();
utils::assert_float_eq_f64(res.to_float().unwrap(), 8.0);
assert_eq!(s, format!("{}", deserialized));
let s = "min({x}^3.0 if z < 0 else y, 1.0)";
// flatex
let flatex = FlatExVal::<i32, f64>::parse(s).unwrap();
let serialized = serde_json::to_string(&flatex).unwrap();
let deserialized = serde_json::from_str::<FlatExVal<i32, f64>>(serialized.as_str()).unwrap();
assert_eq!(deserialized.var_names().len(), 3);
let res = deserialized
.eval(&[Val::Float(2.0), Val::Float(1.0), Val::Float(-1.0)])
.unwrap();
assert_eq!(res.to_float().unwrap(), 1.0);
assert_eq!(s, format!("{}", deserialized));
}
#[cfg(feature = "value")]
#[test]
fn test_to() -> ExResult<()> {
utils::assert_float_eq_f64(
Val::<i32, f64>::Float(std::f64::consts::TAU).to_float()?,
std::f64::consts::TAU,
);
assert_eq!(Val::<i32, f64>::Int(123).to_int()?, 123);
assert!(Val::<i32, f64>::Bool(true).to_bool()?);
assert_eq!(Val::<i32, f64>::Bool(false).to_int()?, 0);
assert_eq!(Val::<i32, f64>::Bool(true).to_float()?, 1.0);
utils::assert_float_eq_f64(Val::<i32, f64>::Float(3.4).to_float()?, 3.4);
assert_eq!(Val::<i32, f64>::Int(34).to_int()?, 34);
assert!(!Val::<i32, f64>::Bool(false).to_bool()?);
Ok(())
}
#[cfg(feature = "value")]
#[cfg(test)]
use exmex::{DeepEx, ValMatcher, ValOpsFactory};
#[cfg(feature = "value")]
#[cfg(test)]
type Fx = FlatExVal<i32, f64>;
#[cfg(feature = "value")]
#[cfg(test)]
type Dx<'a> = DeepEx<'a, Val<i32, f64>, ValOpsFactory<i32, f64>, ValMatcher>;
#[cfg(feature = "value")]
#[test]
fn test_no_vars() -> ExResult<()> {
fn test_int(s: &str, reference: i32) -> ExResult<()> {
fn test_<'a, EX>(s: &'a str, reference: i32) -> ExResult<()>
where
EX: Express<'a, Val<i32, f64>>,
{
println!("=== testing\n{}", s);
let res = exmex::parse_val::<i32, f64>(s)?.eval(&[])?.to_int();
match res {
Ok(i) => {
assert_eq!(reference, i);
}
Err(e) => {
println!("{:?}", e);
unreachable!();
}
}
Ok(())
}
test_::<Fx>(s, reference)?;
test_::<Dx>(s, reference)
}
fn test_float(s: &str, reference: f64) -> ExResult<()> {
fn test_<'a, EX>(s: &'a str, reference: f64) -> ExResult<()>
where
EX: Express<'a, Val<i32, f64>>,
{
println!("=== testing\n{}", s);
let expr = FlatExVal::<i32, f64>::parse(s)?;
utils::assert_float_eq_f64(reference, expr.eval(&[])?.to_float()?);
Ok(())
}
test_::<Fx>(s, reference)?;
test_::<Dx>(s, reference)
}
fn test_bool(s: &str, reference: bool) -> ExResult<()> {
println!("=== testing\n{}", s);
fn test_<'a, EX>(s: &'a str, reference: bool) -> ExResult<()>
where
EX: Express<'a, Val<i32, f64>>,
{
let expr = EX::parse(s)?;
assert_eq!(reference, expr.eval(&[])?.to_bool()?);
Ok(())
}
test_::<Fx>(s, reference)?;
test_::<Dx>(s, reference)
}
fn test_error(s: &str) -> ExResult<()> {
fn test_<'a, EX>(s: &'a str) -> ExResult<()>
where
EX: Express<'a, Val<i32, f64>>,
{
let expr = EX::parse(s);
match expr {
Ok(exp) => {
let v = exp.eval(&[])?;
match v {
Val::Error(e) => {
println!("found expected error {:?}", e);
Ok(())
}
_ => Err(exerr!("'{}' should fail but didn't", s)),
}
}
Err(e) => {
println!("found expected error {:?}", e);
Ok(())
}
}
}
test_::<Fx>(&s)?;
test_::<Dx>(&s)
}
fn test_none(s: &str) -> ExResult<()> {
let expr = FlatExVal::<i32, f64>::parse(s)?;
match expr.eval(&[])? {
Val::None => Ok(()),
_ => Err(exerr!("'{}' should return none but didn't", s)),
}
}
test_error("if true else 2")?;
test_int("1+2 if 1 > 0 else 2+4", 3)?;
test_int("1+2 if 1 < 0 else 2+4", 6)?;
test_error("929<<92")?;
test_error("929<<32")?;
test_error("929>>32")?;
test_int("928<<31", 0)?;
test_int("929>>31", 0)?;
test_float("2.0^2", 4.0)?;
test_int("2^4", 16)?;
test_error("2^-4")?;
test_int("2+4", 6)?;
test_int("9+4", 13)?;
test_int("9+4^2", 25)?;
test_float("τ/TAU", 1.0)?;
test_int("9/4", 2)?;
test_int("9%4", 1)?;
test_float("2.5+4.0^2", 18.5)?;
test_float("2.5*4.0^2", 2.5 * 4.0 * 4.0)?;
test_float("2.5-4.0^-2", 2.5 - 4.0f64.powi(-2))?;
test_float("9.0/4.0", 9.0 / 4.0)?;
test_float("sin(9.0)", 9.0f64.sin())?;
test_float("cos(91.0)", 91.0f64.cos())?;
test_float("ln(91.0)", 91.0f64.ln())?;
test_float("log(91.0)", 91.0f64.ln())?;
test_float("tan(913.0)", 913.0f64.tan())?;
test_float("min(tan(913.0), 1)", 913.0f64.tan())?;
test_float("max(tan(913.0), 1.0)", 1.0)?;
test_float("max(tan(913.0), 1)", 1.0)?;
test_float("sin(-π)", 0.0)?;
test_float("sin(π)", 0.0)?;
test_float("τ", std::f64::consts::PI * 2.0)?;
test_float("sin(-τ)", 0.0)?;
test_float("round(π)", 3.0)?;
test_float("cos(π)", -1.0)?;
test_float("cos(TAU)", 1.0)?;
test_float("sin (1 if false else 2.0)", 2.0f64.sin())?;
test_float("cbrt(27.0)", 3.0)?;
test_int("1 if true else 2.0", 1)?;
test_float("(9.0 if true else 2.0)", 9.0)?;
test_int("1<<4-2", 4)?;
test_int("4>>2", 1)?;
test_int("signum(4>>1)", 1)?;
test_float("signum(-123.12)", -1.0)?;
test_float("abs(-123.12)", 123.12)?;
test_int("fact(4)", 2 * 3 * 4)?;
test_int("fact(0)", 1)?;
test_error("fact(-1)")?;
test_bool("1>2", false)?;
test_bool("1<2", true)?;
test_bool("1.4>=1.4", true)?;
test_bool("true==true", true)?;
test_bool("false==true", false)?;
test_bool("1.5 != 1.5 + 2.0", true)?;
test_float("1 + 1.0", 2.0)?;
test_bool("1.0 == 1", true)?;
test_bool("1 == 1", true)?;
test_bool("2 == true", false)?;
test_bool("1.5 < 1", false)?;
test_bool("true == true", true)?;
test_bool("false != true", true)?;
test_bool("false != false", false)?;
test_bool("1 > 0.5", true)?;
test_error("to_float(10000000000000)")?;
test_bool("true == 1", false)?;
test_bool("true else 2", true)?;
test_int("1 else 2", 1)?;
test_none("2 if false")?;
test_int("to_int(1)", 1)?;
test_int("to_int(3.5)", 3)?;
test_float("to_float(2)", 2.0)?;
test_float("to_float(3.5)", 3.5)?;
test_float("to_float(true)", 1.0)?;
test_float("to_float(false)", 0.0)?;
test_int("to_int(true)", 1)?;
test_int("to_int(false)", 0)?;
test_error("to_int(fact(-1))")?;
test_error("to_float(5 if false)")?;
test_error("0/0")?;
test_bool("(5 if false) == (5 if false)", false)?;
test_error("2^40")?;
test_error("1000000000*1000000000")?;
test_error("1500000000+1500000000")?;
test_error("-1500000000-1500000000")?;
test_error("0%0")?;
test_int("1&&2", 1)?;
test_bool("true&&false", false)?;
test_bool("false || true", true)?;
test_int("1&&2.0", 1)?;
test_float("1||2.0", 2.0)?;
test_float(
"atanh(0.5)/asinh(-7.5)*acosh(2.3)",
0.5f64.atanh() / (-7.5f64).asinh() * 2.3f64.acosh(),
)?;
test_float("sin(atan2(1, 1.0 / 2.0))", (1.0f64.atan2(0.5)).sin())?;
Ok(())
}
#[cfg(feature = "value")]
#[test]
fn test() {
use smallvec::smallvec;
fn assert_arr(arr: Val<i32, f64>, reference: &[f64]) {
let arr = arr.to_array().unwrap();
for (a, b) in arr.iter().zip(reference.iter()) {
utils::assert_float_eq_f64(*b, *a);
}
}
// dot product
let s = "dot(-[1.0, 2.0, -3.0], [0, 1, 0])";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), -2.0f64);
let s = "dot(-[1.0, 2.0, -3.0], [0, 2, 0] - 1)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), -4.0f64);
let a1 = Val::Array(smallvec![0.0, 0.0, -3.0]);
let a2 = Val::Array(smallvec![0.0, 3.0, 0.0]);
let s = "dot(a1, a2)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a1, a2]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), 0.0);
// access components with .0, .1, .2
let s = "-[1.0, 2.0, -3.0].0";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), -1.0f64);
let s = "-[1.0, 2.0, -3.0].1";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), -2.0f64);
let s = "-[1.0, 2.0, -3.0].2";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), 3.0f64);
// negate
let s = "-[1.0, 2.0, 3.0]";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
let reference = [-1.0, -2.0, -3.0];
assert_arr(x, &reference);
// compute with scalars
let s = "-[1.0, 2.0, 3.0] * 1";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
let reference = [-1.0, -2.0, -3.0];
assert_arr(x, &reference);
let s = "-[1.0, 2.0, 3.0] + 0";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
let reference = [-1.0, -2.0, -3.0];
assert_arr(x, &reference);
let s = "-[1.0, 2.0, 3.0] + 1.5";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
let reference = [0.5, -0.5, -1.5];
assert_arr(x, &reference);
let s = "-[1.0, 2.0, 3.0] / 2";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
let reference = [-0.5, -1.0, -1.5];
assert_arr(x, &reference);
let s = "-[1.0, 2.0, 3.0] * 0";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
let reference = [0.0, 0.0, 0.0];
assert_arr(x, &reference);
let a = Val::Array(smallvec![-1.0, -2.0, -3.0]);
let s = "a - a";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a]).unwrap();
let reference = [0.0, 0.0, 0.0];
assert_arr(x, &reference);
// length
let s = "length(-[1.0, 2.0, -3.0])";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), (14.0f64).sqrt());
let a = Val::Array(smallvec![4.0, -3.0]);
let s = "length(a)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a]).unwrap();
utils::assert_float_eq_f64(x.to_float().unwrap(), 5.0);
// cross
let a1 = Val::Array(smallvec![0.0, 0.0, 1.0]);
let a2 = Val::Array(smallvec![0.0, 1.0, 0.0]);
let s = "cross(a1, a2)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a1, a2]).unwrap();
let reference = [-1.0, 0.0, 0.0];
assert_arr(x, &reference);
let a1 = Val::Array(smallvec![0.0, 1.0, 0.0]);
let a2 = Val::Array(smallvec![0.0, 0.0, 1.0]);
let s = "cross(a1, a2)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a1, a2]).unwrap();
let reference = [1.0, 0.0, 0.0];
assert_arr(x, &reference);
// min/max
let a1 = Val::Array(smallvec![0.0, 0.0, 1.0]);
let a2 = Val::Array(smallvec![0.0, 1.0, 0.0]);
let s = "min(a1, a2)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a1, a2]).unwrap();
let reference = [0.0, 0.0, 0.0];
assert_arr(x, &reference);
let a1 = Val::Array(smallvec![0.0, 1.0, 0.0]);
let a2 = Val::Float(0.5);
let s = "min(a1, a2)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a1, a2]).unwrap();
let reference = [0.0, 0.5, 0.0];
assert_arr(x, &reference);
let a1 = Val::Array(smallvec![0.0, 1.0, 0.0]);
let a2 = Val::Array(smallvec![0.0, 0.0, 1.0]);
let s = "max(a1, a2)";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
let x = expr.eval(&[a1, a2]).unwrap();
let reference = [0.0, 1.0, 1.0];
assert_arr(x, &reference);
}
#[cfg(feature = "value")]
#[cfg(feature = "serde")]
#[test]
fn test_serde() {
use serde::{Deserialize, Serialize};
let s = "-1200 if (cb / ib) < 1 else -2400";
let expr = FlatExVal::<i32, f64>::parse(s).unwrap();
#[derive(Serialize, Deserialize)]
struct Tmp {
expr: FlatExVal<i32, f64>,
}
let tmp = Tmp { expr };
let ser = serde_json::to_string_pretty(&tmp)
.unwrap()
.replace("/", "\\/");
let _deser: Tmp = serde_json::from_str(&ser).unwrap();
}
#[cfg(feature = "value")]
#[test]
fn test_fuzz() {
let s = "ata---n-----0>>220>22--ata---n-----0>>220>22-------------tanh-------------------tanh--------6/π";
let expr = FlatExVal::<i64, f64>::parse(s).unwrap();
let res = expr.eval(&[Val::Int(2), Val::Int(3)]).unwrap();
assert!(!res.to_bool().unwrap());
let s = "fact+82";
let expr = FlatExVal::<i64, f64>::parse(s).unwrap();
assert!(expr.eval(&[]).unwrap().to_int().is_err());
assert!(expr.eval(&[]).unwrap().to_float().is_err());
assert!(expr.eval(&[]).unwrap().to_bool().is_err());
}