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authorJaron Kent-Dobias <jaron@kent-dobias.com>2025-05-08 15:59:23 -0300
committerJaron Kent-Dobias <jaron@kent-dobias.com>2025-05-08 15:59:23 -0300
commit77e8c94e5b41287e97e36e34a97478400637d102 (patch)
tree53082e2ee0dac17202c75ea8ba3e133876fdfe95 /log-fourier.cpp
parent5fd9866479ec50051d2c9eeb4e217e9376e6f9b4 (diff)
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Work to debug log-fourier
Diffstat (limited to 'log-fourier.cpp')
-rw-r--r--log-fourier.cpp28
1 files changed, 6 insertions, 22 deletions
diff --git a/log-fourier.cpp b/log-fourier.cpp
index 9d1f2cb..bc2dd87 100644
--- a/log-fourier.cpp
+++ b/log-fourier.cpp
@@ -64,15 +64,13 @@ std::vector<Complex> LogarithmicFourierTransform::fourier(const std::vector<Real
for (unsigned n = 0; n < pad*N; n++) {
if (n < N) {
a[n] = c[n] * exp((1 - k) * τ(n));
- } else if (n >= (pad - 1) * N) {
- a[n] = c[pad*N-n-1] * exp((1 - k) * τ(pad*N-n-1));
} else {
a[n] = 0;
}
}
FFTW_EXECUTE(a_to_â);
for (unsigned n = 0; n < pad*N; n++) {
- â[(pad*N / 2 + n) % (pad*N)] *= std::pow(II * σ, II * s(n) - k) * Γ(k - II * s(n));
+ â[(pad*N / 2 + n) % (pad*N)] *= std::exp(II * s(n)) * std::pow(II * σ, II * s(n) - k) * Γ(k - II * s(n));
}
FFTW_EXECUTE(â_to_a);
for (unsigned n = 0; n < N; n++) {
@@ -87,30 +85,16 @@ std::vector<Real> LogarithmicFourierTransform::inverse(const std::vector<Complex
std::vector<Real> c(N);
std::vector<Real> σs = {1, -1};
for (Real σ : σs) {
- for (unsigned n = 0; n < pad * N; n++) {
- if (n < N) {
- if (σ < 0) {
- a[n] = std::conj(ĉ[n]) * std::exp((1 - k) * ω(n));
- } else {
- a[n] = ĉ[n] * std::exp((1 - k) * ω(n));
- }
- } else if (n >= (pad - 1) * N) {
- if (σ < 0) {
- a[n] = ĉ[pad*N-n-1] * std::exp((1 - k) * ω(pad*N-n-1));
- } else {
- a[n] = std::conj(ĉ[pad*N-n-1]) * std::exp((1 - k) * ω(pad*N-n-1));
- }
- } else {
- a[n] = 0;
- }
+ for (unsigned n = 0; n < N; n++) {
+ a[n] = (ĉ[n].real() + II * σ * ĉ[n].imag()) * std::exp((1 - k) * ω(n));
}
FFTW_EXECUTE(a_to_â);
- for (unsigned n = 0; n < pad*N; n++) {
- â[(pad*N / 2 + n) % (pad*N)] *= std::pow(-II * σ, II * s(n) - k) * Γ(k - II * s(n));
+ for (unsigned n = 0; n < N; n++) {
+ â[(N / 2 + n) % N] *= std::pow(-II * σ, II * s(n) - k) * Γ(k - II * s(n));
}
FFTW_EXECUTE(â_to_a);
for (unsigned n = 0; n < N; n++) {
- c[n] += std::exp(-k * τ(n)) * a[(pad - 1)*N+n].real() / (Real)(pad*N) / (2 * M_PI);
+ c[n] += std::exp(-k * τ(n)) * a[n].real() / (2 * M_PI * N);
}
}