/* libFLAC - Free Lossless Audio Codec library * Copyright (C) 2006,2007 Josh Coalson * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * - Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * - Neither the name of the Xiph.org Foundation nor the names of its * contributors may be used to endorse or promote products derived from * this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #if HAVE_CONFIG_H # include <config.h> #endif #include <math.h> #include "FLAC/assert.h" #include "FLAC/format.h" #include "private/window.h" #ifndef FLAC__INTEGER_ONLY_LIBRARY #ifndef M_PI /* math.h in VC++ doesn't seem to have this (how Microsoft is that?) */ #define M_PI 3.14159265358979323846 #endif void FLAC__window_bartlett(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; if (L & 1) { for (n = 0; n <= N/2; n++) window[n] = 2.0f * n / (float)N; for (; n <= N; n++) window[n] = 2.0f - 2.0f * n / (float)N; } else { for (n = 0; n <= L/2-1; n++) window[n] = 2.0f * n / (float)N; for (; n <= N; n++) window[n] = 2.0f - 2.0f * (N-n) / (float)N; } } void FLAC__window_bartlett_hann(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(0.62f - 0.48f * fabs((float)n/(float)N+0.5f) + 0.38f * cos(2.0f * M_PI * ((float)n/(float)N+0.5f))); } void FLAC__window_blackman(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(0.42f - 0.5f * cos(2.0f * M_PI * n / N) + 0.08f * cos(4.0f * M_PI * n / N)); } /* 4-term -92dB side-lobe */ void FLAC__window_blackman_harris_4term_92db_sidelobe(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n <= N; n++) window[n] = (FLAC__real)(0.35875f - 0.48829f * cos(2.0f * M_PI * n / N) + 0.14128f * cos(4.0f * M_PI * n / N) - 0.01168f * cos(6.0f * M_PI * n / N)); } void FLAC__window_connes(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; const double N2 = (double)N / 2.; FLAC__int32 n; for (n = 0; n <= N; n++) { double k = ((double)n - N2) / N2; k = 1.0f - k * k; window[n] = (FLAC__real)(k * k); } } void FLAC__window_flattop(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(1.0f - 1.93f * cos(2.0f * M_PI * n / N) + 1.29f * cos(4.0f * M_PI * n / N) - 0.388f * cos(6.0f * M_PI * n / N) + 0.0322f * cos(8.0f * M_PI * n / N)); } void FLAC__window_gauss(FLAC__real *window, const FLAC__int32 L, const FLAC__real stddev) { const FLAC__int32 N = L - 1; const double N2 = (double)N / 2.; FLAC__int32 n; for (n = 0; n <= N; n++) { const double k = ((double)n - N2) / (stddev * N2); window[n] = (FLAC__real)exp(-0.5f * k * k); } } void FLAC__window_hamming(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(0.54f - 0.46f * cos(2.0f * M_PI * n / N)); } void FLAC__window_hann(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(0.5f - 0.5f * cos(2.0f * M_PI * n / N)); } void FLAC__window_kaiser_bessel(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(0.402f - 0.498f * cos(2.0f * M_PI * n / N) + 0.098f * cos(4.0f * M_PI * n / N) - 0.001f * cos(6.0f * M_PI * n / N)); } void FLAC__window_nuttall(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; FLAC__int32 n; for (n = 0; n < L; n++) window[n] = (FLAC__real)(0.3635819f - 0.4891775f*cos(2.0f*M_PI*n/N) + 0.1365995f*cos(4.0f*M_PI*n/N) - 0.0106411f*cos(6.0f*M_PI*n/N)); } void FLAC__window_rectangle(FLAC__real *window, const FLAC__int32 L) { FLAC__int32 n; for (n = 0; n < L; n++) window[n] = 1.0f; } void FLAC__window_triangle(FLAC__real *window, const FLAC__int32 L) { FLAC__int32 n; if (L & 1) { for (n = 1; n <= L+1/2; n++) window[n-1] = 2.0f * n / ((float)L + 1.0f); for (; n <= L; n++) window[n-1] = - (float)(2 * (L - n + 1)) / ((float)L + 1.0f); } else { for (n = 1; n <= L/2; n++) window[n-1] = 2.0f * n / (float)L; for (; n <= L; n++) window[n-1] = ((float)(2 * (L - n)) + 1.0f) / (float)L; } } void FLAC__window_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p) { if (p <= 0.0) FLAC__window_rectangle(window, L); else if (p >= 1.0) FLAC__window_hann(window, L); else { const FLAC__int32 Np = (FLAC__int32)(p / 2.0f * L) - 1; FLAC__int32 n; /* start with rectangle... */ FLAC__window_rectangle(window, L); /* ...replace ends with hann */ if (Np > 0) { for (n = 0; n <= Np; n++) { window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * n / Np)); window[L-Np-1+n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * (n+Np) / Np)); } } } } void FLAC__window_welch(FLAC__real *window, const FLAC__int32 L) { const FLAC__int32 N = L - 1; const double N2 = (double)N / 2.; FLAC__int32 n; for (n = 0; n <= N; n++) { const double k = ((double)n - N2) / N2; window[n] = (FLAC__real)(1.0f - k * k); } } #endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */