symbolica 2.2.0

A blazing fast computer algebra system
Documentation
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use symbolica::{
    atom::{Atom, AtomCore, EvaluationInfo},
    domains::{
        Ring,
        finite_field::{FiniteFieldCore, Zp},
        float::{Complex, ErrorPropagatingFloat, Float, RealLike},
        rational::Rational,
    },
    evaluate::{
        CompileOptions, CudaComplexf64, CudaLoadSettings, CudaRealf64, ExportSettings,
        ExpressionEvaluator, InlineASM, OptimizationSettings,
    },
    parse, symbol,
};

#[test]
fn evaluator_in_finite_field_ring() {
    let params = vec![parse!("x"), parse!("y")];
    let field = Zp::new(7);

    let mut evaluator = parse!("x^3 + 2*x*y + y^-1")
        .evaluator(&params)
        .build()
        .unwrap()
        .map_to_ring(&field)
        .unwrap();

    let inputs = [field.to_element(3), field.to_element(5)];
    assert_eq!(
        evaluator.evaluate_single_in_ring(&inputs, &field),
        field.to_element(4)
    );

    let exprs = vec![parse!("if(x, x + y, y)"), parse!("(x + y)^2")];
    let mut evaluator = Atom::evaluator_multiple(&exprs, &params)
        .build()
        .unwrap()
        .map_to_ring(&field)
        .unwrap();

    let inputs = [field.zero(), field.to_element(5)];
    let mut out = vec![field.zero(); 2];
    evaluator.evaluate_in_ring(&inputs, &mut out, &field);
    assert_eq!(out, vec![field.to_element(5), field.to_element(4)]);
}

#[test]
fn merge_evaluator_with_external_functions() {
    let _double = symbol!(
        "symbolica::test::merge_external_double",
        eval = EvaluationInfo::new().register(|args: &[f64]| 2.0 * args[0])
    );
    let _shift = symbol!(
        "symbolica::test::merge_external_shift",
        eval = EvaluationInfo::new().register(|args: &[f64]| args[0] + 10.0)
    );
    let _left_constant = symbol!(
        "symbolica::test::merge_external_left_constant",
        eval = EvaluationInfo::constant(|_, prec| Ok(Float::with_val(prec, 1.0).into()))
    );
    let _right_constant = symbol!(
        "symbolica::test::merge_external_right_constant",
        eval = EvaluationInfo::constant(|_, prec| Ok(Float::with_val(prec, 5.0).into()))
    );

    let params = vec![parse!("x")];
    let settings = OptimizationSettings::new().horner_iterations(0);

    let mut left = parse!(
        "symbolica::test::merge_external_double(x) + symbolica::test::merge_external_left_constant"
    )
    .evaluator(&params)
    .optimization_settings(settings.clone())
    .build()
    .unwrap();
    let right = parse!(
        "symbolica::test::merge_external_shift(x) + symbolica::test::merge_external_right_constant"
    )
    .evaluator(&params)
    .optimization_settings(settings)
    .build()
    .unwrap();

    left.merge(right, Some(0)).unwrap();

    let mut evaluator = left.map_coeff(&|x| x.re.to_f64());
    let mut out = vec![0.0; 2];
    evaluator.evaluate(&[3.0], &mut out);

    assert_eq!(out, vec![7.0, 18.0]);
}

#[test]
fn error_propagating_float_transcendental_evaluator() {
    let params = vec![
        parse!("x"),
        parse!("y"),
        parse!("z"),
        parse!("a"),
        parse!("b"),
    ];
    let expr = parse!(
        "sqrt(y)+log(y)+exp(z)+sin(x)+cos(x)+tan(x)+asin(a)+acos(b)+atan(x)+atan(x,y)+sinh(x)+cosh(x)+tanh(x)+asinh(x)+acosh(y)+atanh(a)+x^y+abs(x)+conj(x)+cot(x)+sec(x)+csc(x)+acot(x)+asec(y)+acsc(y)+coth(x)+sech(x)+csch(x)+acoth(y)+asech(b)+acsch(x)"
    );

    let evaluator = expr
        .evaluator(&params)
        .horner_iterations(0)
        .build()
        .unwrap();

    let f64_params = [0.5, 2.0, 0.1, 0.3, 0.5];
    let expected = evaluator
        .clone()
        .map_coeff(&|x| x.re.to_f64())
        .evaluate_single(&f64_params);

    let epf64_params = f64_params.map(|x| ErrorPropagatingFloat::new(x, 15.0));
    let epf64 = evaluator
        .clone()
        .map_coeff(&|x| ErrorPropagatingFloat::new(x.re.to_f64(), 15.0))
        .evaluate_single(&epf64_params);
    assert!((*epf64.get_num() - expected).abs() < 1e-12);
    assert!(epf64.get_precision().is_some());

    let epfloat_params =
        f64_params.map(|x| ErrorPropagatingFloat::new(Float::with_val(80, x), 20.0));
    let epfloat = evaluator
        .map_coeff(&|x| ErrorPropagatingFloat::new(Float::with_val(80, x.re.to_f64()), 20.0))
        .evaluate_single(&epfloat_params);
    assert!((epfloat.get_num().to_f64() - expected).abs() < 1e-12);
    assert!(epfloat.get_precision().is_some());
}

#[test]
fn float_transcendental_evaluator() {
    let params = vec![
        parse!("x"),
        parse!("y"),
        parse!("z"),
        parse!("a"),
        parse!("b"),
    ];
    let expr = parse!(
        "tan(x)+asin(a)+acos(b)+atan(x)+atan(x,y)+sinh(x)+cosh(x)+tanh(x)+cot(x)+sec(x)+csc(x)+acot(x)+asec(y)+acsc(y)+coth(x)+sech(x)+csch(x)+asinh(x)+acosh(y)+atanh(a)+acoth(y)+asech(b)+acsch(x)+gamma(y)+erf(x)+zeta(y)+polygamma(1,y)+polylog(2,a)+bessel_j(0,x)+bessel_y(0,y)+bessel_i(0,x)+bessel_k(0,y)"
    );

    let evaluator = expr
        .evaluator(&params)
        .horner_iterations(0)
        .build()
        .unwrap();

    let f64_params = [0.5, 2.0, 0.1, 0.3, 0.5];
    let expected = evaluator
        .clone()
        .map_coeff(&|x| x.re.to_f64())
        .evaluate_single(&f64_params);

    let float_params = f64_params.map(|x| Float::with_val(53, x));
    let result = evaluator
        .map_coeff(&|x| Float::with_val(53, x.re.to_f64()))
        .evaluate_single(&float_params);

    assert!(
        (result.to_f64() - expected).abs() < 1e-10,
        "Float result {} differs from f64 result {}",
        result,
        expected
    );
}

const F13: &'static str = "-48*ammu*amuq*ammu2*amuq2*x6*xcp4*e1234-48*ammu*amuq*ammu2*amuq2*x6*xcp3*e1234+48*ammu*amuq*ammu2*amuq2*x6*xcp2*e1234+48*ammu*amuq*ammu2*amuq2*x6*xcp1*e1234+48*ammu*amuq*ammu2*amuq2*x6^2*xcp3*e1234-48*ammu*amuq*ammu2*amuq2*x6^2*xcp2*e1234-144*ammu*
amuq*ammu2*amuq2*x5*xcp4*e1234-48*ammu*amuq*ammu2*amuq2*x5*xcp3*e1234+48*ammu*amuq*ammu2*amuq2*x5*xcp2*e1234+144*ammu*amuq*ammu2*amuq2*x5*xcp1*e1234+96*ammu*amuq*ammu2*amuq2*x5*x6*xcp3*e1234-96*ammu*amuq*ammu2*amuq2*x5*x6*xcp2*e1234+48*ammu*amuq*
ammu2*amuq2*x5^2*xcp3*e1234-48*ammu*amuq*ammu2*amuq2*x5^2*xcp2*e1234-96*ammu*amuq*ammu2*amuq2*x4*xcp4*e1245-48*ammu*amuq*ammu2*amuq2*x4*xcp3*e1245-96*ammu*amuq*ammu2*amuq2*x4*xcp3*e1234+48*ammu*amuq*ammu2*amuq2*x4*xcp2*e1245+96*ammu*amuq*ammu2*
amuq2*x4*xcp2*e1234+96*ammu*amuq*ammu2*amuq2*x4*xcp1*e1245+48*ammu*amuq*ammu2*amuq2*x4*x6*xcp4*e1234-48*ammu*amuq*ammu2*amuq2*x4*x6*xcp1*e1234+48*ammu*amuq*ammu2*amuq2*x4*x6^2*xcp4*e1234-48*ammu*amuq*ammu2*amuq2*x4*x6^2*xcp1*e1234+144*ammu*amuq*
ammu2*amuq2*x4*x5*xcp4*e1234-144*ammu*amuq*ammu2*amuq2*x4*x5*xcp1*e1234+48*ammu*amuq*ammu2*amuq2*x4*x5*x6*xcp4*e1234+144*ammu*amuq*ammu2*amuq2*x4*x5*x6*xcp3*e1234-144*ammu*amuq*ammu2*amuq2*x4*x5*x6*xcp2*e1234-48*ammu*amuq*ammu2*amuq2*x4*x5*x6*xcp1*
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*xcp3-960*e2e1^2*ammu*amuq*ammu2^2*x5*x6*xcp2+7488*e2e1^2*ammu*amuq*ammu2^2*x5*x6*xcp1-2304*e2e1^2*ammu*amuq*ammu2^2*x5*x6^2*xcp4+960*e2e1^2*ammu*amuq*ammu2^2*x5*x6^2*xcp3+960*e2e1^2*ammu*amuq*ammu2^2*x5*x6^2*xcp2-2304*e2e1^2*ammu*amuq*ammu2^2*x5*
x6^2*xcp1+5376*e2e1^2*ammu*amuq*ammu2^2*x5^2*xcp4-1152*e2e1^2*ammu*amuq*ammu2^2*x5^2*xcp3-1152*e2e1^2*ammu*amuq*ammu2^2*x5^2*xcp2+5376*e2e1^2*ammu*amuq*ammu2^2*x5^2*xcp1-3456*e2e1^2*ammu*amuq*ammu2^2*x5^2*x6*xcp4+1920*e2e1^2*ammu*amuq*ammu2^2*x5^2*
x6*xcp3+1920*e2e1^2*ammu*amuq*ammu2^2*x5^2*x6*xcp2-3456*e2e1^2*ammu*amuq*ammu2^2*x5^2*x6*xcp1-1920*e2e1^2*ammu*amuq*ammu2^2*x5^3*xcp4+1152*e2e1^2*ammu*amuq*ammu2^2*x5^3*xcp3+1152*e2e1^2*ammu*amuq*ammu2^2*x5^3*xcp2-1920*e2e1^2*ammu*amuq*ammu2^2*x5^3
*xcp1+192*e2e1^2*ammu*amuq*ammu2^2*x4*xcp4+192*e2e1^2*ammu*amuq*ammu2^2*x4*xcp3+192*e2e1^2*ammu*amuq*ammu2^2*x4*xcp2+192*e2e1^2*ammu*amuq*ammu2^2*x4*xcp1+2112*e2e1^2*ammu*amuq*ammu2^2*x4*x6*xcp4+192*e2e1^2*ammu*amuq*ammu2^2*x4*x6*xcp3+192*e2e1^2*
ammu*amuq*ammu2^2*x4*x6*xcp2+2112*e2e1^2*ammu*amuq*ammu2^2*x4*x6*xcp1-192*e2e1^2*ammu*amuq*ammu2^2*x4*x6^2*xcp4-768*e2e1^2*ammu*amuq*ammu2^2*x4*x6^2*xcp3-768*e2e1^2*ammu*amuq*ammu2^2*x4*x6^2*xcp2-192*e2e1^2*ammu*amuq*ammu2^2*x4*x6^2*xcp1+3648*
e2e1^2*ammu*amuq*ammu2^2*x4*x5*xcp4+192*e2e1^2*ammu*amuq*ammu2^2*x4*x5*xcp3+192*e2e1^2*ammu*amuq*ammu2^2*x4*x5*xcp2+3648*e2e1^2*ammu*amuq*ammu2^2*x4*x5*xcp1-1344*e2e1^2*ammu*amuq*ammu2^2*x4*x5*x6*xcp4+192*e2e1^2*ammu*amuq*ammu2^2*x4*x5*x6*xcp3+192*
e2e1^2*ammu*amuq*ammu2^2*x4*x5*x6*xcp2-1344*e2e1^2*ammu*amuq*ammu2^2*x4*x5*x6*xcp1-2304*e2e1^2*ammu*amuq*ammu2^2*x4*x5^2*xcp4+768*e2e1^2*ammu*amuq*ammu2^2*x4*x5^2*xcp3+768*e2e1^2*ammu*amuq*ammu2^2*x4*x5^2*xcp2-2304*e2e1^2*ammu*amuq*ammu2^2*x4*x5^2*
xcp1+384*e2e1^2*ammu*amuq*ammu2^2*x4^2*xcp4-192*e2e1^2*ammu*amuq*ammu2^2*x4^2*xcp3-192*e2e1^2*ammu*amuq*ammu2^2*x4^2*xcp2+384*e2e1^2*ammu*amuq*ammu2^2*x4^2*xcp1-384*e2e1^2*ammu*amuq*ammu2^2*x4^2*x6*xcp4+192*e2e1^2*ammu*amuq*ammu2^2*x4^2*x6*xcp3+192
*e2e1^2*ammu*amuq*ammu2^2*x4^2*x6*xcp2-384*e2e1^2*ammu*amuq*ammu2^2*x4^2*x6*xcp1-1344*e2e1^2*ammu*amuq*ammu2^2*x4^2*x5*xcp4-1344*e2e1^2*ammu*amuq*ammu2^2*x4^2*x5*xcp1-192*e2e1^2*ammu*amuq*ammu2^2*x4^3*xcp4-192*e2e1^2*ammu*amuq*ammu2^2*x4^3*xcp1-
1344*e2e1^2*ammu*amuq*ammu2^2*x3*x6*xcp4-192*e2e1^2*ammu*amuq*ammu2^2*x3*x6*xcp3-192*e2e1^2*ammu*amuq*ammu2^2*x3*x6*xcp2-1344*e2e1^2*ammu*amuq*ammu2^2*x3*x6*xcp1+768*e2e1^2*ammu*amuq*ammu2^2*x3*x6^2*xcp4-192*e2e1^2*ammu*amuq*ammu2^2*x3*x6^2*xcp3-
192*e2e1^2*ammu*amuq*ammu2^2*x3*x6^2*xcp2+768*e2e1^2*ammu*amuq*ammu2^2*x3*x6^2*xcp1-1152*e2e1^2*ammu*amuq*ammu2^2*x3*x5*xcp4-1152*e2e1^2*ammu*amuq*ammu2^2*x3*x5*xcp1+1920*e2e1^2*ammu*amuq*ammu2^2*x3*x5*x6*xcp4-384*e2e1^2*ammu*amuq*ammu2^2*x3*x5*x6*
xcp3-384*e2e1^2*ammu*amuq*ammu2^2*x3*x5*x6*xcp2+1920*e2e1^2*ammu*amuq*ammu2^2*x3*x5*x6*xcp1+1152*e2e1^2*ammu*amuq*ammu2^2*x3*x5^2*xcp4-384*e2e1^2*ammu*amuq*ammu2^2*x3*x5^2*xcp3-384*e2e1^2*ammu*amuq*ammu2^2*x3*x5^2*xcp2+1152*e2e1^2*ammu*amuq*ammu2^2
*x3*x5^2*xcp1+576*e2e1^2*ammu*amuq*ammu2^2*x3*x4*xcp4-192*e2e1^2*ammu*amuq*ammu2^2*x3*x4*xcp3-192*e2e1^2*ammu*amuq*ammu2^2*x3*x4*xcp2+576*e2e1^2*ammu*amuq*ammu2^2*x3*x4*xcp1+192*e2e1^2*ammu*amuq*ammu2^2*x3*x4*x6*xcp4+192*e2e1^2*ammu*amuq*ammu2^2*x3
*x4*x6*xcp3+192*e2e1^2*ammu*amuq*ammu2^2*x3*x4*x6*xcp2+192*e2e1^2*ammu*amuq*ammu2^2*x3*x4*x6*xcp1-192*e2e1^2*ammu*amuq*ammu2^2*x3*x4^2*xcp4-192*e2e1^2*ammu*amuq*ammu2^2*x3*x4^2*xcp1+576*e2e1^2*ammu*amuq*ammu2^2*x1*x6*xcp4+960*e2e1^2*ammu*amuq*
ammu2^2*x1*x6*xcp3+960*e2e1^2*ammu*amuq*ammu2^2*x1*x6*xcp2+576*e2e1^2*ammu*amuq*ammu2^2*x1*x6*xcp1-576*e2e1^2*ammu*amuq*ammu2^2*x1*x6^2*xcp3-576*e2e1^2*ammu*amuq*ammu2^2*x1*x6^2*xcp2+384*e2e1^2*ammu*amuq*ammu2^2*x1*x5*xcp4+768*e2e1^2*ammu*amuq*
ammu2^2*x1*x5*xcp3+768*e2e1^2*ammu*amuq*ammu2^2*x1*x5*xcp2+384*e2e1^2*ammu*amuq*ammu2^2*x1*x5*xcp1-384*e2e1^2*ammu*amuq*ammu2^2*x1*x5*x6*xcp4-1152*e2e1^2*ammu*amuq*ammu2^2*x1*x5*x6*xcp3-1152*e2e1^2*ammu*amuq*ammu2^2*x1*x5*x6*xcp2-384*e2e1^2*ammu*
amuq*ammu2^2*x1*x5*x6*xcp1-384*e2e1^2*ammu*amuq*ammu2^2*x1*x5^2*xcp4-384*e2e1^2*ammu*amuq*ammu2^2*x1*x5^2*xcp3-384*e2e1^2*ammu*amuq*ammu2^2*x1*x5^2*xcp2-384*e2e1^2*ammu*amuq*ammu2^2*x1*x5^2*xcp1-576*e2e1^2*ammu*amuq*ammu2^2*x1*x4*xcp4+192*e2e1^2*
ammu*amuq*ammu2^2*x1*x4*xcp3+192*e2e1^2*ammu*amuq*ammu2^2*x1*x4*xcp2-576*e2e1^2*ammu*amuq*ammu2^2*x1*x4*xcp1+576*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x6*xcp4-960*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x6*xcp3-960*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x6*xcp2+576*e2e1^2
*ammu*amuq*ammu2^2*x1*x4*x6*xcp1+768*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x5*xcp4-768*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x5*xcp3-768*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x5*xcp2+768*e2e1^2*ammu*amuq*ammu2^2*x1*x4*x5*xcp1+192*e2e1^2*ammu*amuq*ammu2^2*x1*x4^2*xcp4+
192*e2e1^2*ammu*amuq*ammu2^2*x1*x4^2*xcp1+768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x6*xcp4-768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x6*xcp3-768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x6*xcp2+768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x6*xcp1+768*e2e1^2*ammu*amuq*ammu2^2*x1*x3
*x5*xcp4-768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x5*xcp3-768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x5*xcp2+768*e2e1^2*ammu*amuq*ammu2^2*x1*x3*x5*xcp1-576*e2e1^2*ammu*amuq*amel2*amuq2*x4*xcp4-576*e2e1^2*ammu*amuq*amel2*amuq2*x4*xcp3-576*e2e1^2*ammu*amuq*amel2*
amuq2*x4*xcp2-576*e2e1^2*ammu*amuq*amel2*amuq2*x4*xcp1+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x6*xcp4+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x6*xcp3+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x6*xcp2+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x6*xcp1+576*e2e1^2*ammu*
amuq*amel2*amuq2*x4*x5*xcp4+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x5*xcp3+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x5*xcp2+576*e2e1^2*ammu*amuq*amel2*amuq2*x4*x5*xcp1+1728*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*xcp4+576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*xcp3+
576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*xcp2+1728*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*xcp1-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x6*xcp4+576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x6*xcp3+576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x6*xcp2-576*e2e1^2*ammu*amuq*
amel2*amuq2*x4^2*x6*xcp1-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x5*xcp4+576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x5*xcp3+576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x5*xcp2-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^2*x5*xcp1-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^3*
xcp4-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^3*xcp3-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^3*xcp2-576*e2e1^2*ammu*amuq*amel2*amuq2*x4^3*xcp1-576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4*xcp4-576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4*xcp3-576*e2e1^2*ammu*amuq*amel2
*amuq2*x3*x4*xcp2-576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4*xcp1+576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4^2*xcp4-576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4^2*xcp3-576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4^2*xcp2+576*e2e1^2*ammu*amuq*amel2*amuq2*x3*x4^2*xcp1+
576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4*xcp4+576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4*xcp3+576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4*xcp2+576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4*xcp1-576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4^2*xcp4+576*e2e1^2*ammu*amuq*amel2
*amuq2*x1*x4^2*xcp3+576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4^2*xcp2-576*e2e1^2*ammu*amuq*amel2*amuq2*x1*x4^2*xcp1+768*e2e1^2*ammu*amuq*amel2*ammu2*xcp4+768*e2e1^2*ammu*amuq*amel2*ammu2*xcp1-4992*e2e1^2*ammu*amuq*amel2*ammu2*x6*xcp4-3264*e2e1^2*ammu*
amuq*amel2*ammu2*x6*xcp3-3264*e2e1^2*ammu*amuq*amel2*ammu2*x6*xcp2-4992*e2e1^2*ammu*amuq*amel2*ammu2*x6*xcp1+2880*e2e1^2*ammu*amuq*amel2*ammu2*x6^2*xcp4+1344*e2e1^2*ammu*amuq*amel2*ammu2*x6^2*xcp3+1344*e2e1^2*ammu*amuq*amel2*ammu2*x6^2*xcp2+2880*
e2e1^2*ammu*amuq*amel2*ammu2*x6^2*xcp1-384*e2e1^2*ammu*amuq*amel2*ammu2*x6^3*xcp4+192*e2e1^2*ammu*amuq*amel2*ammu2*x6^3*xcp3+192*e2e1^2*ammu*amuq*amel2*ammu2*x6^3*xcp2-384*e2e1^2*ammu*amuq*amel2*ammu2*x6^3*xcp1-7680*e2e1^2*ammu*amuq*amel2*ammu2*x5*
xcp4-4416*e2e1^2*ammu*amuq*amel2*ammu2*x5*xcp3-4416*e2e1^2*ammu*amuq*amel2*ammu2*x5*xcp2-7680*e2e1^2*ammu*amuq*amel2*ammu2*x5*xcp1+6336*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6*xcp4+960*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6*xcp3+960*e2e1^2*ammu*amuq*amel2*
ammu2*x5*x6*xcp2+6336*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6*xcp1-1344*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6^2*xcp4+1152*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6^2*xcp3+1152*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6^2*xcp2-1344*e2e1^2*ammu*amuq*amel2*ammu2*x5*x6^2*
xcp1+5760*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*xcp4+768*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*xcp3+768*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*xcp2+5760*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*xcp1-2112*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*x6*xcp4+2304*e2e1^2*ammu*amuq*
amel2*ammu2*x5^2*x6*xcp3+2304*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*x6*xcp2-2112*e2e1^2*ammu*amuq*amel2*ammu2*x5^2*x6*xcp1-1152*e2e1^2*ammu*amuq*amel2*ammu2*x5^3*xcp4+1344*e2e1^2*ammu*amuq*amel2*ammu2*x5^3*xcp3+1344*e2e1^2*ammu*amuq*amel2*ammu2*x5^3
";

const INPUT_REAL: [f64; 29] = [
    5., 2., 1., 3., 5., 8., 1.2, 1.3, 4.5, 6.7, 2.5, 1.7, 1.9, 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6,
    2.7, 2.8, 2.9, 3.0, 3.1, 3.2, 3.3, 3.4, 3.5,
];
const OUT_REAL: f64 = -543843317.1308352;

const INPUT_COMPLEX: [Complex<f64>; 29] = [
    Complex::new(5., 1.0),
    Complex::new(2.0, 2.0),
    Complex::new(1.0, 3.0),
    Complex::new(3.0, 4.0),
    Complex::new(5.0, 5.0),
    Complex::new(8.0, 6.0),
    Complex::new(1.2, 7.0),
    Complex::new(1.3, 8.0),
    Complex::new(4.5, 9.0),
    Complex::new(6.7, 10.0),
    Complex::new(2.5, 11.0),
    Complex::new(1.7, 12.0),
    Complex::new(1.9, 13.0),
    Complex::new(2.0, 14.0),
    Complex::new(2.1, 15.0),
    Complex::new(2.2, 16.0),
    Complex::new(2.3, 17.0),
    Complex::new(2.4, 18.0),
    Complex::new(2.5, 19.0),
    Complex::new(2.6, 20.0),
    Complex::new(2.7, 21.0),
    Complex::new(2.8, 22.0),
    Complex::new(2.9, 23.0),
    Complex::new(3.0, 24.0),
    Complex::new(3.1, 25.0),
    Complex::new(3.2, 26.0),
    Complex::new(3.3, 27.0),
    Complex::new(3.4, 28.0),
    Complex::new(3.5, 29.0),
];

const OUT_COMPLEX: Complex<f64> = Complex::new(-504703063799979., 19778627601725736.);

fn generate_evaluator() -> ExpressionEvaluator<Complex<Rational>> {
    let params = vec![
        "alpha", "amuq", "ammu", "xcp1", "e1245", "xcp4", "e3e2", "e1234", "e2345", "e1235",
        "e1345", "amel2", "e2e1", "e5e2", "e4e2", "e3e1", "e4e1", "e5e1", "ammu2", "amuq2", "e5e3",
        "e4e3", "x5", "x6", "x1", "x3", "x4", "xcp3", "xcp2",
    ];

    let params = params.iter().map(|s| parse!(s)).collect::<Vec<_>>();

    std::thread::Builder::new()
        .stack_size(16 * 1024 * 1024) // use a larger stack size as in debug mode the default stack size is too small
        .spawn(move || {
            parse!(F13)
                .evaluator(&params)
                .horner_iterations(1)
                .cores(1)
                .verbose(false)
                .build()
                .unwrap()
        })
        .unwrap()
        .join()
        .unwrap()
}

#[test]
fn evaluator_real() {
    let mut evaluator = generate_evaluator().map_coeff(&|x| x.re.to_f64());
    let mut out = vec![0.];
    evaluator.evaluate(&INPUT_REAL, &mut out);
    assert!((out[0] - OUT_REAL).abs() / OUT_REAL < 1e-10);
}

#[test]
fn evaluator_complex() {
    let mut evaluator =
        generate_evaluator().map_coeff(&|x| Complex::new(x.re.to_f64(), x.im.to_f64()));
    let mut out = vec![Complex::new(0., 0.)];
    evaluator.evaluate(&INPUT_COMPLEX, &mut out);
    assert!(
        (out[0] - OUT_COMPLEX).re.abs() / OUT_COMPLEX.re.abs() < 1e-10,
        "{}",
        out[0].re
    );
}

#[test]
fn gcc_compiled_evaluator_real() {
    let evaluator = generate_evaluator().map_coeff(&|x| x.re.to_f64());
    let mut compiled_evaluator = evaluator
        .export_cpp::<f64>(
            "gcc_compiled_evaluator_real.cpp",
            "gcc_compiled_evaluator_real",
            ExportSettings::new()
                .include_header(true)
                .inline_asm(InlineASM::default()),
        )
        .unwrap()
        .compile("gcc_compiled_evaluator_real", CompileOptions::default())
        .unwrap()
        .load()
        .unwrap();
    let mut out = vec![0.];
    compiled_evaluator.evaluate(&INPUT_REAL, &mut out);
    assert!((out[0] - OUT_REAL).abs() / OUT_REAL < 1e-10, "{}", out[0]);
}

#[test]
fn gcc_compiled_evaluator_complex() {
    let evaluator = generate_evaluator().map_coeff(&|x| Complex::new(x.re.to_f64(), x.im.to_f64()));
    let mut compiled_evaluator = evaluator
        .export_cpp::<Complex<f64>>(
            "gcc_compiled_evaluator_complex.cpp",
            "gcc_compiled_evaluator_complex",
            ExportSettings::new()
                .include_header(true)
                .inline_asm(InlineASM::default()),
        )
        .unwrap()
        .compile("gcc_compiled_evaluator_complex", CompileOptions::default())
        .unwrap()
        .load()
        .unwrap();
    let mut out = vec![Complex::new(0., 0.)];
    compiled_evaluator.evaluate(&INPUT_COMPLEX, &mut out);
    assert!(
        (out[0] - OUT_COMPLEX).re.abs() / OUT_COMPLEX.re.abs() < 1e-10,
        "re: {}",
        out[0].re
    );
    assert!(
        (out[0] - OUT_COMPLEX).im.abs() / OUT_COMPLEX.im.abs() < 1e-10,
        "im: {}",
        out[0].im
    );
}

#[test]
fn cuda_compiled_evaluator_real() {
    if std::env::var("CUDA_TEST").is_err() {
        eprintln!("Skipping CUDA tests, set CUDA_TEST environment variable to run them.");
        return;
    }

    let evaluator = generate_evaluator().map_coeff(&|x| x.re.to_f64());
    let mut compiled_evaluator = evaluator
        .export_cpp::<CudaRealf64>(
            "cuda_compiled_evaluator_real.cpp",
            "cuda_compiled_evaluator_real",
            ExportSettings::default(),
        )
        .unwrap()
        .compile("cuda_compiled_evaluator_real", CompileOptions::cuda())
        .unwrap()
        .load_with_settings(CudaLoadSettings::new().number_of_evaluations(1))
        .unwrap();
    let mut out = vec![0.];
    compiled_evaluator.evaluate(&INPUT_REAL, &mut out).unwrap();
    assert!((out[0] - OUT_REAL).abs() / OUT_REAL < 1e-10);
}

#[test]
fn cuda_compiled_evaluator_complex() {
    if std::env::var("CUDA_TEST").is_err() {
        eprintln!("Skipping CUDA tests, set CUDA_TEST environment variable to run them.");
        return;
    }

    let evaluator = generate_evaluator().map_coeff(&|x| Complex::new(x.re.to_f64(), x.im.to_f64()));
    let mut compiled_evaluator = evaluator
        .export_cpp::<CudaComplexf64>(
            "cuda_compiled_evaluator_complex.cpp",
            "cuda_compiled_evaluator_complex",
            ExportSettings::default(),
        )
        .unwrap()
        .compile("cuda_compiled_evaluator_complex", CompileOptions::cuda())
        .unwrap()
        .load_with_settings(CudaLoadSettings::new().number_of_evaluations(1))
        .unwrap();
    let mut out = vec![Complex::new(0., 0.)];
    compiled_evaluator
        .evaluate(&INPUT_COMPLEX, &mut out)
        .unwrap();
    assert!(
        (out[0] - OUT_COMPLEX).re.abs() / OUT_COMPLEX.re.abs() < 1e-10,
        "re: {}",
        out[0].re
    );
}