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// Radix2CooleyTukey benchmark
//
// Originally written by @owensd. Used with his permission.
#if canImport(Glibc)
import Glibc
#elseif canImport(Musl)
import Musl
#elseif os(Windows)
import MSVCRT
#else
import Darwin
#endif
import TestsUtils
public let benchmarks = [
BenchmarkInfo(
name: "Radix2CooleyTukey",
runFunction: run_Radix2CooleyTukey,
tags: [.validation, .algorithm],
setUpFunction: setUpRadix2CooleyTukey,
tearDownFunction: tearDownRadix2CooleyTukey,
legacyFactor: 48),
BenchmarkInfo(
name: "Radix2CooleyTukeyf",
runFunction: run_Radix2CooleyTukeyf,
tags: [.validation, .algorithm],
setUpFunction: setUpRadix2CooleyTukeyf,
tearDownFunction: tearDownRadix2CooleyTukeyf,
legacyFactor: 48),
]
//===----------------------------------------------------------------------===//
// Double Benchmark
//===----------------------------------------------------------------------===//
var double_input_real: UnsafeMutablePointer<Double>?
var double_input_imag: UnsafeMutablePointer<Double>?
var double_output_real: UnsafeMutablePointer<Double>?
var double_output_imag: UnsafeMutablePointer<Double>?
var double_temp_real: UnsafeMutablePointer<Double>?
var double_temp_imag: UnsafeMutablePointer<Double>?
let doubleN = 2_048
let doubleSize = { MemoryLayout<Double>.size * doubleN }()
func setUpRadix2CooleyTukey() {
let size = doubleSize
double_input_real = UnsafeMutablePointer<Double>.allocate(capacity: size)
double_input_imag = UnsafeMutablePointer<Double>.allocate(capacity: size)
double_output_real = UnsafeMutablePointer<Double>.allocate(capacity: size)
double_output_imag = UnsafeMutablePointer<Double>.allocate(capacity: size)
double_temp_real = UnsafeMutablePointer<Double>.allocate(capacity: size)
double_temp_imag = UnsafeMutablePointer<Double>.allocate(capacity: size)
}
func tearDownRadix2CooleyTukey() {
double_input_real?.deallocate()
double_input_imag?.deallocate()
double_output_real?.deallocate()
double_output_imag?.deallocate()
double_temp_real?.deallocate()
double_temp_imag?.deallocate()
}
func radix2CooleyTukey(_ level: Int,
input_real: UnsafeMutablePointer<Double>,
input_imag: UnsafeMutablePointer<Double>,
stride: Int, output_real: UnsafeMutablePointer<Double>,
output_imag: UnsafeMutablePointer<Double>,
temp_real: UnsafeMutablePointer<Double>,
temp_imag: UnsafeMutablePointer<Double>) {
if level == 0 {
output_real[0] = input_real[0];
output_imag[0] = input_imag[0];
return
}
let length = 1 << level
let half = length >> 1
radix2CooleyTukey(level - 1,
input_real: input_real,
input_imag: input_imag,
stride: stride << 1,
output_real: temp_real,
output_imag: temp_imag,
temp_real: output_real,
temp_imag: output_imag)
radix2CooleyTukey(level - 1,
input_real: input_real + stride,
input_imag: input_imag + stride,
stride: stride << 1,
output_real: temp_real + half,
output_imag: temp_imag + half,
temp_real: output_real + half,
temp_imag: output_imag + half)
for idx in 0..<half {
let angle = -Double.pi * Double(idx) / Double(half)
let _cos = cos(angle)
let _sin = sin(angle)
output_real[idx] = temp_real[idx] + _cos *
temp_real[idx + half] - _sin * temp_imag[idx + half]
output_imag[idx] = temp_imag[idx] + _cos *
temp_imag[idx + half] + _sin *
temp_real[idx + half]
output_real[idx + half] = temp_real[idx] - _cos *
temp_real[idx + half] + _sin *
temp_imag[idx + half]
output_imag[idx + half] = temp_imag[idx] - _cos *
temp_imag[idx + half] - _sin *
temp_real[idx + half]
}
}
func testDouble(iter: Int) {
let stride = 1
let size = doubleSize
let level = Int(log2(Double(doubleN)))
let input_real = double_input_real.unsafelyUnwrapped
let input_imag = double_input_imag.unsafelyUnwrapped
let output_real = double_output_real.unsafelyUnwrapped
let output_imag = double_output_imag.unsafelyUnwrapped
let temp_real = double_temp_real.unsafelyUnwrapped
let temp_imag = double_temp_imag.unsafelyUnwrapped
for _ in 0..<iter {
memset(UnsafeMutableRawPointer(input_real), 0, size)
memset(UnsafeMutableRawPointer(input_imag), 0, size)
memset(UnsafeMutableRawPointer(output_real), 0, size)
memset(UnsafeMutableRawPointer(output_imag), 0, size)
memset(UnsafeMutableRawPointer(temp_real), 0, size)
memset(UnsafeMutableRawPointer(temp_imag), 0, size)
radix2CooleyTukey(level,
input_real: input_real,
input_imag: input_imag,
stride: stride,
output_real: output_real,
output_imag: output_imag,
temp_real: temp_real,
temp_imag: temp_imag)
}
}
@inline(never)
public func run_Radix2CooleyTukey(_ n: Int) {
testDouble(iter: n)
}
//===----------------------------------------------------------------------===//
// Float Benchmark
//===----------------------------------------------------------------------===//
let floatN = 2_048
let floatSize = { MemoryLayout<Float>.size * floatN }()
var float_input_real: UnsafeMutablePointer<Float>?
var float_input_imag: UnsafeMutablePointer<Float>?
var float_output_real: UnsafeMutablePointer<Float>?
var float_output_imag: UnsafeMutablePointer<Float>?
var float_temp_real: UnsafeMutablePointer<Float>?
var float_temp_imag: UnsafeMutablePointer<Float>?
func setUpRadix2CooleyTukeyf() {
let size = floatSize
float_input_real = UnsafeMutablePointer<Float>.allocate(capacity: size)
float_input_imag = UnsafeMutablePointer<Float>.allocate(capacity: size)
float_output_real = UnsafeMutablePointer<Float>.allocate(capacity: size)
float_output_imag = UnsafeMutablePointer<Float>.allocate(capacity: size)
float_temp_real = UnsafeMutablePointer<Float>.allocate(capacity: size)
float_temp_imag = UnsafeMutablePointer<Float>.allocate(capacity: size)
}
func tearDownRadix2CooleyTukeyf() {
float_input_real?.deallocate()
float_input_imag?.deallocate()
float_output_real?.deallocate()
float_output_imag?.deallocate()
float_temp_real?.deallocate()
float_temp_imag?.deallocate()
}
func radix2CooleyTukeyf(_ level: Int,
input_real: UnsafeMutablePointer<Float>,
input_imag: UnsafeMutablePointer<Float>,
stride: Int, output_real: UnsafeMutablePointer<Float>,
output_imag: UnsafeMutablePointer<Float>,
temp_real: UnsafeMutablePointer<Float>,
temp_imag: UnsafeMutablePointer<Float>) {
if level == 0 {
output_real[0] = input_real[0];
output_imag[0] = input_imag[0];
return
}
let length = 1 << level
let half = length >> 1
radix2CooleyTukeyf(level - 1,
input_real: input_real,
input_imag: input_imag,
stride: stride << 1,
output_real: temp_real,
output_imag: temp_imag,
temp_real: output_real,
temp_imag: output_imag)
radix2CooleyTukeyf(level - 1,
input_real: input_real + stride,
input_imag: input_imag + stride,
stride: stride << 1,
output_real: temp_real + half,
output_imag: temp_imag + half,
temp_real: output_real + half,
temp_imag: output_imag + half)
for idx in 0..<half {
let angle = -Float.pi * Float(idx) / Float(half)
let _cos = cosf(angle)
let _sin = sinf(angle)
output_real[idx] = temp_real[idx] + _cos *
temp_real[idx + half] - _sin * temp_imag[idx + half]
output_imag[idx] = temp_imag[idx] + _cos *
temp_imag[idx + half] + _sin * temp_real[idx + half]
output_real[idx + half] = temp_real[idx] - _cos *
temp_real[idx + half] + _sin *
temp_imag[idx + half]
output_imag[idx + half] = temp_imag[idx] - _cos *
temp_imag[idx + half] - _sin *
temp_real[idx + half]
}
}
func testFloat(iter: Int) {
let stride = 1
let n = floatN
let size = floatSize
let input_real = float_input_real.unsafelyUnwrapped
let input_imag = float_input_imag.unsafelyUnwrapped
let output_real = float_output_real.unsafelyUnwrapped
let output_imag = float_output_imag.unsafelyUnwrapped
let temp_real = float_temp_real.unsafelyUnwrapped
let temp_imag = float_temp_imag.unsafelyUnwrapped
let level = Int(log2(Float(n)))
for _ in 0..<iter {
memset(UnsafeMutableRawPointer(input_real), 0, size)
memset(UnsafeMutableRawPointer(input_imag), 0, size)
memset(UnsafeMutableRawPointer(output_real), 0, size)
memset(UnsafeMutableRawPointer(output_imag), 0, size)
memset(UnsafeMutableRawPointer(temp_real), 0, size)
memset(UnsafeMutableRawPointer(temp_imag), 0, size)
radix2CooleyTukeyf(level,
input_real: input_real,
input_imag: input_imag,
stride: stride,
output_real: output_real,
output_imag: output_imag,
temp_real: temp_real,
temp_imag: temp_imag)
}
}
@inline(never)
public func run_Radix2CooleyTukeyf(_ n: Int) {
testFloat(iter: n)
}
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