use num_complex::Complex64;
use runmat_accelerate_api::{AccelProvider, GpuTensorHandle};
use runmat_builtins::{CharArray, ComplexTensor, Tensor, Value};
use runmat_macros::runtime_builtin;
use crate::builtins::common::spec::{
BroadcastSemantics, BuiltinFusionSpec, BuiltinGpuSpec, ConstantStrategy, FusionError,
FusionExprContext, FusionKernelTemplate, GpuOpKind, ProviderHook, ReductionNaN,
ResidencyPolicy, ScalarType, ShapeRequirements,
};
use crate::builtins::common::{gpu_helpers, tensor};
use crate::builtins::math::type_resolvers::numeric_unary_type;
use crate::{build_runtime_error, dispatcher::download_handle_async, BuiltinResult, RuntimeError};
const BUILTIN_NAME: &str = "acosh";
const ZERO_EPS: f64 = 1.0e-12;
#[runmat_macros::register_gpu_spec(builtin_path = "crate::builtins::math::trigonometry::acosh")]
pub const GPU_SPEC: BuiltinGpuSpec = BuiltinGpuSpec {
name: "acosh",
op_kind: GpuOpKind::Elementwise,
supported_precisions: &[ScalarType::F32, ScalarType::F64],
broadcast: BroadcastSemantics::Matlab,
provider_hooks: &[ProviderHook::Unary { name: "unary_acosh" }],
constant_strategy: ConstantStrategy::InlineLiteral,
residency: ResidencyPolicy::NewHandle,
nan_mode: ReductionNaN::Include,
two_pass_threshold: None,
workgroup_size: None,
accepts_nan_mode: false,
notes: "Providers may execute acosh directly on device buffers when inputs stay within the real domain (x ≥ 1); otherwise the runtime gathers to the host for complex promotion.",
};
fn runtime_error_for(message: impl Into<String>) -> RuntimeError {
build_runtime_error(message)
.with_builtin(BUILTIN_NAME)
.build()
}
#[runmat_macros::register_fusion_spec(builtin_path = "crate::builtins::math::trigonometry::acosh")]
pub const FUSION_SPEC: BuiltinFusionSpec = BuiltinFusionSpec {
name: "acosh",
shape: ShapeRequirements::BroadcastCompatible,
constant_strategy: ConstantStrategy::InlineLiteral,
elementwise: Some(FusionKernelTemplate {
scalar_precisions: &[ScalarType::F32, ScalarType::F64],
wgsl_body: |ctx: &FusionExprContext| {
let input = ctx.inputs.first().ok_or(FusionError::MissingInput(0))?;
Ok(format!("acosh({input})"))
},
}),
reduction: None,
emits_nan: false,
notes: "Fusion planner emits WGSL `acosh` calls; providers can substitute custom kernels when available.",
};
#[runtime_builtin(
name = "acosh",
category = "math/trigonometry",
summary = "Inverse hyperbolic cosine with MATLAB-compatible complex promotion.",
keywords = "acosh,inverse hyperbolic cosine,arccosh,gpu",
accel = "unary",
type_resolver(numeric_unary_type),
builtin_path = "crate::builtins::math::trigonometry::acosh"
)]
async fn acosh_builtin(value: Value) -> BuiltinResult<Value> {
match value {
Value::GpuTensor(handle) => acosh_gpu(handle).await,
Value::Complex(re, im) => Ok(acosh_complex_scalar(re, im)),
Value::ComplexTensor(ct) => acosh_complex_tensor(ct),
Value::CharArray(ca) => acosh_char_array(ca),
Value::String(_) | Value::StringArray(_) => {
Err(runtime_error_for("acosh: expected numeric input"))
}
other => acosh_real(other),
}
}
async fn acosh_gpu(handle: GpuTensorHandle) -> BuiltinResult<Value> {
if let Some(provider) = runmat_accelerate_api::provider_for_handle(&handle) {
match detect_gpu_requires_complex(provider, &handle).await {
Ok(false) => {
if let Ok(out) = provider.unary_acosh(&handle).await {
return Ok(gpu_helpers::resident_gpu_value(out));
}
}
Ok(true) => {
let tensor = gpu_helpers::gather_tensor_async(&handle).await?;
return acosh_tensor_real(tensor);
}
Err(_) => {
}
}
}
let tensor = gpu_helpers::gather_tensor_async(&handle).await?;
acosh_tensor_real(tensor)
}
async fn detect_gpu_requires_complex(
provider: &'static dyn AccelProvider,
handle: &GpuTensorHandle,
) -> BuiltinResult<bool> {
let min_handle = provider
.reduce_min(handle)
.await
.map_err(|e| runtime_error_for(format!("acosh: reduce_min failed: {e}")))?;
let min_host = download_handle_async(provider, &min_handle)
.await
.map_err(|e| {
let _ = provider.free(&min_handle);
runtime_error_for(format!("acosh: reduce_min download failed: {e}"))
})?;
let _ = provider.free(&min_handle);
let min_value = min_host.data.iter().copied().fold(f64::INFINITY, f64::min);
if !min_value.is_finite() {
return Ok(true);
}
Ok(min_value < 1.0)
}
fn acosh_real(value: Value) -> BuiltinResult<Value> {
let tensor = tensor::value_into_tensor_for("acosh", value).map_err(runtime_error_for)?;
acosh_tensor_real(tensor)
}
fn acosh_tensor_real(tensor: Tensor) -> BuiltinResult<Value> {
if tensor.data.is_empty() {
return Ok(tensor::tensor_into_value(tensor));
}
let mut requires_complex = false;
let mut real_data = Vec::with_capacity(tensor.data.len());
let mut complex_data = Vec::with_capacity(tensor.data.len());
for &x in &tensor.data {
if x.is_nan() {
real_data.push(f64::NAN);
complex_data.push((f64::NAN, 0.0));
continue;
}
if x.is_infinite() && x.is_sign_positive() {
real_data.push(f64::INFINITY);
complex_data.push((f64::INFINITY, 0.0));
continue;
}
if x.is_infinite() && x.is_sign_negative() {
requires_complex = true;
real_data.push(f64::INFINITY);
complex_data.push((f64::INFINITY, std::f64::consts::PI));
continue;
}
if x >= 1.0 {
let val = x.acosh();
real_data.push(val);
complex_data.push((val, 0.0));
continue;
}
let result = Complex64::new(x, 0.0).acosh();
let re = zero_small(result.re);
let im = zero_small(result.im);
requires_complex = true;
real_data.push(re);
complex_data.push((re, im));
}
if requires_complex {
if complex_data.len() == 1 {
let (re, im) = complex_data[0];
Ok(Value::Complex(re, im))
} else {
let tensor = ComplexTensor::new(complex_data, tensor.shape.clone())
.map_err(|e| runtime_error_for(format!("acosh: {e}")))?;
Ok(Value::ComplexTensor(tensor))
}
} else {
let tensor = Tensor::new(real_data, tensor.shape.clone())
.map_err(|e| runtime_error_for(format!("acosh: {e}")))?;
Ok(tensor::tensor_into_value(tensor))
}
}
fn acosh_complex_tensor(ct: ComplexTensor) -> BuiltinResult<Value> {
if ct.data.is_empty() {
return Ok(Value::ComplexTensor(ct));
}
let mut mapped = Vec::with_capacity(ct.data.len());
for &(re, im) in &ct.data {
let result = Complex64::new(re, im).acosh();
mapped.push((zero_small(result.re), zero_small(result.im)));
}
if mapped.len() == 1 {
let (re, im) = mapped[0];
Ok(Value::Complex(re, im))
} else {
let tensor = ComplexTensor::new(mapped, ct.shape.clone())
.map_err(|e| runtime_error_for(format!("acosh: {e}")))?;
Ok(Value::ComplexTensor(tensor))
}
}
fn acosh_complex_scalar(re: f64, im: f64) -> Value {
let result = Complex64::new(re, im).acosh();
Value::Complex(zero_small(result.re), zero_small(result.im))
}
fn acosh_char_array(ca: CharArray) -> BuiltinResult<Value> {
if ca.data.is_empty() {
let tensor = Tensor::new(Vec::new(), vec![ca.rows, ca.cols])
.map_err(|e| runtime_error_for(format!("acosh: {e}")))?;
return Ok(tensor::tensor_into_value(tensor));
}
let data: Vec<f64> = ca.data.iter().map(|&ch| ch as u32 as f64).collect();
let tensor = Tensor::new(data, vec![ca.rows, ca.cols])
.map_err(|e| runtime_error_for(format!("acosh: {e}")))?;
acosh_tensor_real(tensor)
}
fn zero_small(value: f64) -> f64 {
if value.abs() < ZERO_EPS {
0.0
} else {
value
}
}
#[cfg(test)]
pub(crate) mod tests {
use super::*;
use crate::builtins::common::test_support;
use futures::executor::block_on;
use num_complex::Complex64;
use runmat_builtins::{IntValue, LogicalArray, ResolveContext, Type};
fn acosh_builtin(value: Value) -> BuiltinResult<Value> {
block_on(super::acosh_builtin(value))
}
fn error_message(err: RuntimeError) -> String {
err.message().to_string()
}
#[test]
fn acosh_type_preserves_tensor_shape() {
let out = numeric_unary_type(
&[Type::Tensor {
shape: Some(vec![Some(2), Some(3)]),
}],
&ResolveContext::new(Vec::new()),
);
assert_eq!(
out,
Type::Tensor {
shape: Some(vec![Some(2), Some(3)])
}
);
}
#[test]
fn acosh_type_scalar_tensor_returns_num() {
let out = numeric_unary_type(
&[Type::Tensor {
shape: Some(vec![Some(1), Some(1)]),
}],
&ResolveContext::new(Vec::new()),
);
assert_eq!(out, Type::Num);
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_scalar_real() {
let value = Value::Num(1.5);
let result = acosh_builtin(value).expect("acosh");
match result {
Value::Num(v) => assert!((v - 0.9624236501192069).abs() < 1e-12),
other => panic!("expected scalar result, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_scalar_complex() {
let result = acosh_builtin(Value::Num(0.5)).expect("acosh");
match result {
Value::Complex(re, im) => {
assert!(re.abs() < 1e-12);
assert!((im - 1.0471975511965976).abs() < 1e-12);
}
other => panic!("expected complex scalar, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_tensor_mixed() {
let tensor = Tensor::new(vec![0.5, 1.0, 2.0], vec![3, 1]).expect("tensor construction");
let result = acosh_builtin(Value::Tensor(tensor)).expect("acosh");
match result {
Value::ComplexTensor(t) => {
assert_eq!(t.shape, vec![3, 1]);
let expected = [
(0.0, 1.0471975511965976),
(0.0, 0.0),
(1.3169578969248166, 0.0),
];
for (actual, exp) in t.data.iter().zip(expected.iter()) {
assert!((actual.0 - exp.0).abs() < 1e-12);
assert!((actual.1 - exp.1).abs() < 1e-12);
}
}
other => panic!("expected complex tensor, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_logical_array_promotes() {
let logical = LogicalArray::new(vec![1, 0, 1, 0], vec![2, 2]).expect("logical array");
let result = acosh_builtin(Value::LogicalArray(logical)).expect("acosh");
match result {
Value::ComplexTensor(t) => {
assert_eq!(t.shape, vec![2, 2]);
let expected = [
(0.0, 0.0),
(0.0, std::f64::consts::FRAC_PI_2),
(0.0, 0.0),
(0.0, std::f64::consts::FRAC_PI_2),
];
for (actual, exp) in t.data.iter().zip(expected.iter()) {
assert!((actual.0 - exp.0).abs() < 1e-12);
assert!((actual.1 - exp.1).abs() < 1e-12);
}
}
other => panic!("expected complex tensor, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_char_array_roundtrip() {
let chars = CharArray::new("Az".chars().collect(), 1, 2).expect("char array");
let result = acosh_builtin(Value::CharArray(chars)).expect("acosh");
match result {
Value::Tensor(t) => {
assert_eq!(t.shape, vec![1, 2]);
let expected: Vec<f64> =
"Az".chars().map(|ch| (ch as u32 as f64).acosh()).collect();
for (actual, exp) in t.data.iter().zip(expected.iter()) {
assert!((actual - exp).abs() < 1e-12);
}
}
Value::ComplexTensor(t) => {
assert_eq!(t.shape, vec![1, 2]);
let expected: Vec<Complex64> = "Az"
.chars()
.map(|ch| Complex64::new(ch as u32 as f64, 0.0).acosh())
.collect();
for ((re, im), exp) in t.data.iter().zip(expected.iter()) {
assert!((re - exp.re).abs() < 1e-12);
assert!((im - exp.im).abs() < 1e-12);
}
}
other => panic!("unexpected result {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_char_array_promotes_to_complex() {
let chars = CharArray::new(vec!['\0'], 1, 1).expect("char array");
let result = acosh_builtin(Value::CharArray(chars)).expect("acosh");
match result {
Value::Complex(re, im) => {
assert!(re.abs() < 1e-12);
assert!((im - std::f64::consts::FRAC_PI_2).abs() < 1e-12);
}
Value::ComplexTensor(t) => {
assert_eq!(t.shape, vec![1, 1]);
let (re, im) = t.data[0];
assert!(re.abs() < 1e-12);
assert!((im - std::f64::consts::FRAC_PI_2).abs() < 1e-12);
}
other => panic!("expected complex result, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_complex_inputs() {
let inputs = [Complex64::new(1.0, 2.0), Complex64::new(-2.0, 0.5)];
let complex = ComplexTensor::new(inputs.iter().map(|c| (c.re, c.im)).collect(), vec![1, 2])
.expect("complex tensor");
let result = acosh_builtin(Value::ComplexTensor(complex)).expect("acosh");
match result {
Value::ComplexTensor(t) => {
assert_eq!(t.shape, vec![1, 2]);
for (actual, input) in t.data.iter().zip(inputs.iter()) {
let expected = input.acosh();
assert!((actual.0 - expected.re).abs() < 1e-12);
assert!((actual.1 - expected.im).abs() < 1e-12);
}
}
other => panic!("expected complex tensor, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_integer_input() {
let result = acosh_builtin(Value::Int(IntValue::I32(4))).expect("acosh");
match result {
Value::Num(v) => assert!((v - 2.0634370688955608).abs() < 1e-12),
other => panic!("expected numeric result, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_bool_inputs() {
let true_result = acosh_builtin(Value::Bool(true)).expect("acosh");
match true_result {
Value::Num(v) => assert!(v.abs() < 1e-12),
other => panic!("expected real scalar, got {other:?}"),
}
let false_result = acosh_builtin(Value::Bool(false)).expect("acosh");
match false_result {
Value::Complex(re, im) => {
assert!(re.abs() < 1e-12);
assert!((im - std::f64::consts::FRAC_PI_2).abs() < 1e-12);
}
other => panic!("expected complex scalar, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_infinity_inputs() {
let pos = acosh_builtin(Value::Num(f64::INFINITY)).expect("acosh");
match pos {
Value::Num(v) => assert!(v.is_infinite() && v.is_sign_positive()),
other => panic!("expected positive infinity result, got {other:?}"),
}
let neg = acosh_builtin(Value::Num(f64::NEG_INFINITY)).expect("acosh");
match neg {
Value::Complex(re, im) => {
assert!(re.is_infinite() && re.is_sign_positive());
assert!((im - std::f64::consts::PI).abs() < 1e-12);
}
other => panic!("expected complex infinity result, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_nan_propagates() {
let result = acosh_builtin(Value::Num(f64::NAN)).expect("acosh");
match result {
Value::Num(v) => assert!(v.is_nan()),
other => panic!("expected NaN scalar, got {other:?}"),
}
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_string_errors() {
let err = acosh_builtin(Value::from("oops")).expect_err("expected error");
let message = error_message(err);
assert!(message.contains("expected numeric input"));
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_gpu_provider_roundtrip() {
test_support::with_test_provider(|provider| {
let tensor =
Tensor::new(vec![1.0, 2.0, 5.0, 10.0], vec![4, 1]).expect("tensor construction");
let view = runmat_accelerate_api::HostTensorView {
data: &tensor.data,
shape: &tensor.shape,
};
let handle = provider.upload(&view).expect("upload");
let result = acosh_builtin(Value::GpuTensor(handle)).expect("acosh");
let gathered = test_support::gather(result).expect("gather");
assert_eq!(gathered.shape, vec![4, 1]);
for (actual, expected) in gathered.data.iter().zip(tensor.data.iter()) {
let ref_val = expected.acosh();
assert!((actual - ref_val).abs() < 1e-12);
}
});
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
fn acosh_gpu_falls_back_for_complex() {
test_support::with_test_provider(|provider| {
let tensor = Tensor::new(vec![0.5, 2.0], vec![2, 1]).expect("tensor construction");
let view = runmat_accelerate_api::HostTensorView {
data: &tensor.data,
shape: &tensor.shape,
};
let handle = provider.upload(&view).expect("upload");
let result = acosh_builtin(Value::GpuTensor(handle)).expect("acosh");
match result {
Value::ComplexTensor(t) => {
assert_eq!(t.shape, vec![2, 1]);
let expected = [
Complex64::new(0.5, 0.0).acosh(),
Complex64::new(2.0, 0.0).acosh(),
];
for (actual, exp) in t.data.iter().zip(expected.iter()) {
assert!((actual.0 - exp.re).abs() < 1e-12);
assert!((actual.1 - exp.im).abs() < 1e-12);
}
}
other => panic!("expected complex tensor, got {other:?}"),
}
});
}
#[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
#[test]
#[cfg(feature = "wgpu")]
fn acosh_wgpu_matches_cpu_when_real() {
let _ = runmat_accelerate::backend::wgpu::provider::register_wgpu_provider(
runmat_accelerate::backend::wgpu::provider::WgpuProviderOptions::default(),
);
let tensor = Tensor::new(vec![1.0, 2.0, 10.0], vec![3, 1]).unwrap();
let cpu = acosh_real(Value::Tensor(tensor.clone())).unwrap();
let view = runmat_accelerate_api::HostTensorView {
data: &tensor.data,
shape: &tensor.shape,
};
let handle = runmat_accelerate_api::provider()
.expect("provider")
.upload(&view)
.expect("upload");
let gpu = block_on(acosh_gpu(handle)).unwrap();
let gathered = test_support::gather(gpu).expect("gather");
match cpu {
Value::Tensor(ct) => {
assert_eq!(gathered.shape, ct.shape);
let tol = match runmat_accelerate_api::provider().unwrap().precision() {
runmat_accelerate_api::ProviderPrecision::F64 => 1e-12,
runmat_accelerate_api::ProviderPrecision::F32 => 1e-5,
};
for (actual, expected) in gathered.data.iter().zip(ct.data.iter()) {
assert!((actual - expected).abs() < tol);
}
}
other => panic!("expected tensor result, got {other:?}"),
}
}
}