shithub: ft²

Download patch

ref: d87935aea0b340cd0c512d237b0e72c503a37300
parent: f9123a09ec984317770daf59ffc342409ba47c2d
author: Olav Sørensen <olav.sorensen@live.no>
date: Sat Aug 29 14:29:56 EDT 2020

Pre-calc cubic spline LUT on init, instead of including the table in a header

Also fix line encoding on linux makefiles scripts.

--- a/src/ft2_audio.c
+++ b/src/ft2_audio.c
@@ -1202,77 +1202,3 @@
 
 	freeAudioBuffers();
 }
-
-#include "ft2_module_loader.h"
-void benchmarkAudioChannelMixer(void) // for development testing
-{
-#define TICKS_TO_MIX 50000
-
-#ifdef _WIN32
-#define DEBUG_MOD_FILENAME L"C:\\programming\\debug.xm"
-#elif __APPLE__
-#define DEBUG_MOD_FILENAME "/users/olav/debug.xm"
-#else
-#define DEBUG_MOD_FILENAME "/home/olav/debug.xm"
-#endif
-
-	char str[128];
-	uint8_t result, *buffer;
-	uint32_t maxSamplesPerTick, start, end;
-
-	maxSamplesPerTick = ((config.audioFreq * 5) / 2) / MIN_BPM;
-
-	buffer = (uint8_t *)malloc(maxSamplesPerTick * (2 * sizeof (int32_t)));
-	if (buffer == NULL)
-	{
-		editor.programRunning = false;
-		showErrorMsgBox("Out of memory!\n");
-		return;
-	}
-
-	result = loadMusicUnthreaded(DEBUG_MOD_FILENAME, false);
-	if (!result)
-	{
-		editor.programRunning = false;
-		showErrorMsgBox("Couldn't load debug module for mixer benchmarking!\n");
-		return;
-	}
-
-	pauseAudio();
-	editor.wavIsRendering = true;
-
-	setPos(0, 0, true);
-	playMode = PLAYMODE_SONG;
-	songPlaying = true;
-
-	resetChannels();
-	setNewAudioFreq(config.audioFreq);
-	setAudioAmp(config.boostLevel, config.masterVol, false);
-
-	stopVoices();
-	song.globVol = 64;
-	setSpeed(song.speed);
-
-	double dTickSamples = audio.dSamplesPerTick;
-
-	start = SDL_GetTicks();
-	for (uint32_t i = 0; i < TICKS_TO_MIX; i++)
-	{
-		const int32_t tickSamples = (int32_t)dTickSamples;
-		dump_RenderTick(tickSamples, buffer);
-
-		dTickSamples -= tickSamples; // keep fractional part
-		dTickSamples += audio.dSamplesPerTick;
-	}
-	end = SDL_GetTicks();
-
-	stopPlaying();
-	resumeAudio();
-
-	free(buffer);
-
-	sprintf(str, "It took approximately %dms to mix %d ticks.\nRun this test again to confirm.", end - start, TICKS_TO_MIX);
-	SDL_ShowSimpleMessageBox(0, "Channel mixer benchmark result", str, video.window);
-
-	editor.programRunning = false;
-}
--- a/src/ft2_main.c
+++ b/src/ft2_main.c
@@ -33,6 +33,7 @@
 #include "ft2_events.h"
 #include "ft2_bmp.h"
 #include "ft2_structs.h"
+#include "mixer/ft2_cubic.h"
 
 #ifdef HAS_MIDI
 static SDL_Thread *initMidiThread;
@@ -333,6 +334,7 @@
 	closeAudio();
 	closeReplayer();
 	closeVideo();
+	freeCubicTable();
 	freeSprites();
 	freeDiskOp();
 	clearCopyBuffer();
--- a/src/ft2_replayer.c
+++ b/src/ft2_replayer.c
@@ -20,6 +20,7 @@
 #include "ft2_sample_loader.h"
 #include "ft2_tables.h"
 #include "ft2_structs.h"
+#include "mixer/ft2_cubic.h"
 
 /* This is a mess, directly ported from the original FT2 code (with some modifications).
 ** You will experience a lot of headaches if you dig into it...
@@ -409,7 +410,11 @@
 
 int64_t getMixerDelta(uint16_t period)
 {
-	return (int64_t)((dPeriod2Hz(period) * dHz2MixDeltaMul) + 0.5); // Hz -> rounded fixed-point mixer delta
+	/* Precision has been tested for most extreme case (Amiga period 1, 44100Hz),
+	** and there is no precision loss using 64-bit double-precision here, even
+	** though we can get very big numbers.
+	*/
+	return (int64_t)((dPeriod2Hz(period) * dHz2MixDeltaMul) + 0.5); // Hz -> rounded 32.32 fixed-point mixer delta
 }
 
 uint32_t getRevMixerDelta(uint16_t period)
@@ -2738,6 +2743,7 @@
 	audio.linearFreqTable = true;
 	note2Period = linearPeriods;
 
+	calcCubicTable();
 	calcPeriod2HzTable();
 	calcRevMixDeltaTable();
 	calcPanningTable();
--- a/src/mixer/ft2_center_mix.c
+++ b/src/mixer/ft2_center_mix.c
@@ -1,7 +1,6 @@
 #include <stdint.h>
 #include <stdbool.h>
 #include "ft2_mix_macros.h"
-#include "ft2_intrp_table.h"
 
 /* Check out ft2_mix.c for comments on how this works.
 ** These are duplicates for center-mixing (slightly faster when it can be used).
--- /dev/null
+++ b/src/mixer/ft2_cubic.c
@@ -1,0 +1,59 @@
+#include <stdint.h>
+#include <stdbool.h>
+#include <stdlib.h>
+#include "ft2_cubic.h"
+
+float *fCubicLUT8 = NULL;
+float *fCubicLUT16 = NULL;
+
+/* 4-tap cubic spline interpolation (Horner's method)
+**
+** This simplified LUT formula has been used in several trackers, but
+** I think it originates from ModPlug Tracker (not sure about this).
+*/
+
+static void calcCubicLUT(float *fLUTPtr, const double dSale)
+{
+	for (int32_t i = 0; i < CUBIC_PHASES; i++)
+	{
+		const double x  = i * (1.0 / CUBIC_PHASES);
+		const double x2 = x * x;  // x^2
+		const double x3 = x2 * x; // x^3
+
+		*fLUTPtr++ = (float)((-0.5 * x3 + 1.0 * x2 - 0.5 * x) * dSale);
+		*fLUTPtr++ = (float)(( 1.5 * x3 - 2.5 * x2 + 1.0)     * dSale);
+		*fLUTPtr++ = (float)((-1.5 * x3 + 2.0 * x2 + 0.5 * x) * dSale);
+		*fLUTPtr++ = (float)(( 0.5 * x3 - 0.5 * x2)           * dSale);
+	}
+}
+
+bool calcCubicTable(void)
+{
+	fCubicLUT8 = (float *)malloc(CUBIC_LUT_LEN * sizeof (float));
+	if (fCubicLUT8 == NULL)
+		return false;
+
+	fCubicLUT16 = (float *)malloc(CUBIC_LUT_LEN * sizeof (float));
+	if (fCubicLUT16 == NULL)
+		return false;
+
+	calcCubicLUT(fCubicLUT8, 1.0 / 128.0); // for 8-bit samples
+	calcCubicLUT(fCubicLUT16, 1.0 / 32768.0); // for 16-bit samples
+
+	return true;
+}
+
+void freeCubicTable(void)
+{
+	if (fCubicLUT8 != NULL)
+	{
+		free(fCubicLUT8);
+		fCubicLUT8 = NULL;
+	}
+
+	if (fCubicLUT16 != NULL)
+	{
+		free(fCubicLUT16);
+		fCubicLUT16 = NULL;
+	}
+}
--- /dev/null
+++ b/src/mixer/ft2_cubic.h
@@ -1,0 +1,22 @@
+#pragma once
+
+#include <stdbool.h>
+#include "../ft2_audio.h" // MIXER_FRAC_BITS definition
+
+// if you change this, also change CUBIC_PHASES_BITS
+#define CUBIC_PHASES 4095
+#define CUBIC_PHASES_BITS 12 /* log2(CUBIC_PHASES) */
+
+// don't change these!
+
+#define CUBIC_WIDTH 4
+#define CUBIC_WIDTH_BITS 2
+#define CUBIC_LUT_LEN (CUBIC_WIDTH * CUBIC_PHASES)
+#define CUBIC_FSHIFT (MIXER_FRAC_BITS-(CUBIC_PHASES_BITS+CUBIC_WIDTH_BITS))
+#define CUBIC_FMASK ((CUBIC_WIDTH*CUBIC_PHASES)-CUBIC_WIDTH)
+
+extern float *fCubicLUT8;
+extern float *fCubicLUT16;
+
+bool calcCubicTable(void);
+void freeCubicTable(void);
--- a/src/mixer/ft2_intrp_table.c
+++ /dev/null
@@ -1,2062 +1,0 @@
-#include <stdint.h>
-#include "ft2_intrp_table.h"
-
-/* 4-tap cubic spline LUT (4096 phases, 32-bit single-precision float)
-**
-** IEEE 754 single-precision floats stored in uint32_t representation
-** to prevent precision loss.
-**
-** Calculated with a modified version of Schism Tracker's lutgen.c code.
-*/
-
-const uint32_t fCubicSplineTable[CUBIC_WIDTH * CUBIC_PHASES] =
-{
-	0x00000000,0x3F800000,0x00000000,0x00000000,0xB8FFE001,0x3F7FFFFE,0x39001FFE,0xB2FFF000,
-	0xB97FC004,0x3F7FFFF6,0x39803FFA,0xB3FFE000,0xB9BFB807,0x3F7FFFEA,0x39C08FEC,0xB48FE500,
-	0xB9FF8010,0x3F7FFFD8,0x3A007FE8,0xB4FFC000,0xBA1F9C10,0x3F7FFFC2,0x3A20C7D1,0xB547C180,
-	0xBA3F701B,0x3F7FFFA6,0x3A411FAF,0xB58FCA00,0xBA5F3C2B,0x3F7FFF86,0x3A61877F,0xB5C3AA40,
-	0xBA7F0040,0x3F7FFF60,0x3A80FFA0,0xB5FF8000,0xBA8F5E2E,0x3F7FFF36,0x3A914377,0xB621A4E0,
-	0xBA9F383E,0x3F7FFF06,0x3AA18F44,0xB6478300,0xBAAF0E53,0x3F7FFED2,0x3AB1E306,0xB67159A0,
-	0xBABEE06C,0x3F7FFE99,0x3AC23EBC,0xB68F9400,0xBACEAE89,0x3F7FFE5A,0x3AD2A264,0xB6A876B0,
-	0xBADE78AC,0x3F7FFE17,0x3AE30DFE,0xB6C35480,0xBAEE3ED3,0x3F7FFDCF,0x3AF38187,0xB6E02D10,
-	0xBAFE0100,0x3F7FFD82,0x3B01FE80,0xB6FF0000,0xBB06DF9A,0x3F7FFD2F,0x3B0A4033,0xB70FE678,
-	0xBB0EBCB6,0x3F7FFCD8,0x3B1285DD,0xB72149C0,0xBB1697D6,0x3F7FFC7C,0x3B1ACF7D,0xB733A9A8,
-	0xBB1E70FA,0x3F7FFC1B,0x3B231D12,0xB7470600,0xBB264821,0x3F7FFBB5,0x3B2B6E9C,0xB75B5E98,
-	0xBB2E1D4D,0x3F7FFB4A,0x3B33C41A,0xB770B340,0xBB35F07C,0x3F7FFADA,0x3B3C1D8B,0xB78381E4,
-	0xBB3DC1B0,0x3F7FFA65,0x3B447AF0,0xB78F2800,0xBB4590E8,0x3F7FF9EB,0x3B4CDC47,0xB79B4BDC,
-	0xBB4D5E25,0x3F7FF96C,0x3B554190,0xB7A7ED60,0xBB552967,0x3F7FF8E9,0x3B5DAACB,0xB7B50C74,
-	0xBB5CF2AE,0x3F7FF860,0x3B6617F6,0xB7C2A900,0xBB64B9FA,0x3F7FF7D2,0x3B6E8912,0xB7D0C2EC,
-	0xBB6C7F4C,0x3F7FF740,0x3B76FE1D,0xB7DF5A20,0xBB7442A3,0x3F7FF6A8,0x3B7F7717,0xB7EE6E84,
-	0xBB7C0400,0x3F7FF60C,0x3B83FA00,0xB7FE0000,0xBB81E1B2,0x3F7FF56B,0x3B883A6B,0xB807073E,
-	0xBB85C066,0x3F7FF4C4,0x3B8C7CCE,0xB80F4CF0,0xBB899E1E,0x3F7FF419,0x3B90C126,0xB817D10A,
-	0xBB8D7AD9,0x3F7FF369,0x3B950775,0xB8209380,0xBB915697,0x3F7FF2B4,0x3B994FBA,0xB8299446,
-	0xBB953159,0x3F7FF1FA,0x3B9D99F4,0xB832D350,0xBB990B1F,0x3F7FF13B,0x3BA1E623,0xB83C5092,
-	0xBB9CE3E8,0x3F7FF077,0x3BA63448,0xB8460C00,0xBBA0BBB5,0x3F7FEFAF,0x3BAA8461,0xB850058E,
-	0xBBA49286,0x3F7FEEE1,0x3BAED66F,0xB85A3D30,0xBBA8685A,0x3F7FEE0F,0x3BB32A71,0xB864B2DA,
-	0xBBAC3D33,0x3F7FED37,0x3BB78067,0xB86F6680,0xBBB01110,0x3F7FEC5B,0x3BBBD851,0xB87A5816,
-	0xBBB3E3F1,0x3F7FEB7A,0x3BC0322D,0xB882C3C8,0xBBB7B5D6,0x3F7FEA94,0x3BC48DFD,0xB8887A71,
-	0xBBBB86C0,0x3F7FE9A8,0x3BC8EBC0,0xB88E5000,0xBBBF56AE,0x3F7FE8B9,0x3BCD4B75,0xB894446F,
-	0xBBC325A1,0x3F7FE7C4,0x3BD1AD1D,0xB89A57B8,0xBBC6F399,0x3F7FE6CA,0x3BD610B6,0xB8A089D5,
-	0xBBCAC095,0x3F7FE5CB,0x3BDA7641,0xB8A6DAC0,0xBBCE8C96,0x3F7FE4C8,0x3BDEDDBD,0xB8AD4A73,
-	0xBBD2579C,0x3F7FE3C0,0x3BE3472B,0xB8B3D8E8,0xBBD621A8,0x3F7FE2B2,0x3BE7B289,0xB8BA8619,
-	0xBBD9EAB8,0x3F7FE1A0,0x3BEC1FD8,0xB8C15200,0xBBDDB2CE,0x3F7FE089,0x3BF08F17,0xB8C83C97,
-	0xBBE179E9,0x3F7FDF6D,0x3BF50046,0xB8CF45D8,0xBBE54009,0x3F7FDE4D,0x3BF97365,0xB8D66DBD,
-	0xBBE9052F,0x3F7FDD27,0x3BFDE873,0xB8DDB440,0xBBECC95B,0x3F7FDBFD,0x3C012FB8,0xB8E5195B,
-	0xBBF08C8C,0x3F7FDACD,0x3C036C2E,0xB8EC9D08,0xBBF44EC3,0x3F7FD999,0x3C05A99C,0xB8F43F41,
-	0xBBF81000,0x3F7FD860,0x3C07E800,0xB8FC0000,0xBBFBD043,0x3F7FD722,0x3C0A275B,0xB901EFA0,
-	0xBBFF8F8C,0x3F7FD5DF,0x3C0C67AE,0xB905EE7C,0xBC01A6EE,0x3F7FD498,0x3C0EA8F7,0xB909FC92,
-	0xBC038598,0x3F7FD34B,0x3C10EB36,0xB90E19E0,0xBC0563C6,0x3F7FD1FA,0x3C132E6D,0xB9124662,
-	0xBC074178,0x3F7FD0A4,0x3C157299,0xB9168214,0xBC091EAC,0x3F7FCF49,0x3C17B7BB,0xB91ACCF4,
-	0xBC0AFB64,0x3F7FCDE9,0x3C19FDD4,0xB91F2700,0xBC0CD79F,0x3F7FCC84,0x3C1C44E2,0xB9239034,
-	0xBC0EB35E,0x3F7FCB1A,0x3C1E8CE7,0xB928088C,0xBC108EA0,0x3F7FC9AC,0x3C20D5E0,0xB92C9006,
-	0xBC126966,0x3F7FC839,0x3C231FD0,0xB93126A0,0xBC1443AF,0x3F7FC6C1,0x3C256AB4,0xB935CC56,
-	0xBC161D7B,0x3F7FC544,0x3C27B68E,0xB93A8124,0xBC17F6CC,0x3F7FC3C2,0x3C2A035C,0xB93F4508,
-	0xBC19CFA0,0x3F7FC23C,0x3C2C5120,0xB9441800,0xBC1BA7F8,0x3F7FC0B0,0x3C2E9FD8,0xB948FA08,
-	0xBC1D7FD4,0x3F7FBF20,0x3C30EF85,0xB94DEB1C,0xBC1F5733,0x3F7FBD8B,0x3C334027,0xB952EB3A,
-	0xBC212E16,0x3F7FBBF1,0x3C3591BC,0xB957FA60,0xBC23047E,0x3F7FBA52,0x3C37E446,0xB95D188A,
-	0xBC24DA69,0x3F7FB8AF,0x3C3A37C4,0xB96245B4,0xBC26AFD9,0x3F7FB707,0x3C3C8C36,0xB96781DC,
-	0xBC2884CC,0x3F7FB55A,0x3C3EE19C,0xB96CCD00,0xBC2A5944,0x3F7FB3A8,0x3C4137F5,0xB972271C,
-	0xBC2C2D3F,0x3F7FB1F1,0x3C438F42,0xB977902C,0xBC2E00BF,0x3F7FB035,0x3C45E782,0xB97D082E,
-	0xBC2FD3C4,0x3F7FAE75,0x3C4840B6,0xB9814790,0xBC31A64C,0x3F7FACB0,0x3C4A9ADC,0xB984127F,
-	0xBC337859,0x3F7FAAE6,0x3C4CF5F5,0xB986E4E2,0xBC3549EA,0x3F7FA917,0x3C4F5201,0xB989BEB8,
-	0xBC371B00,0x3F7FA744,0x3C51AF00,0xB98CA000,0xBC38EB9A,0x3F7FA56C,0x3C540CF1,0xB98F88B8,
-	0xBC3ABBB9,0x3F7FA38F,0x3C566BD5,0xB99278DE,0xBC3C8B5C,0x3F7FA1AD,0x3C58CBAB,0xB9957071,
-	0xBC3E5A84,0x3F7F9FC6,0x3C5B2C72,0xB9986F70,0xBC402931,0x3F7F9DDB,0x3C5D8E2C,0xB99B75D9,
-	0xBC41F763,0x3F7F9BEB,0x3C5FF0D8,0xB99E83AA,0xBC43C519,0x3F7F99F6,0x3C625475,0xB9A198E2,
-	0xBC459254,0x3F7F97FC,0x3C64B904,0xB9A4B580,0xBC475F14,0x3F7F95FD,0x3C671E84,0xB9A7D982,
-	0xBC492B59,0x3F7F93FA,0x3C6984F6,0xB9AB04E6,0xBC4AF723,0x3F7F91F2,0x3C6BEC58,0xB9AE37AB,
-	0xBC4CC272,0x3F7F8FE5,0x3C6E54AC,0xB9B171D0,0xBC4E8D45,0x3F7F8DD4,0x3C70BDF0,0xB9B4B353,
-	0xBC50579E,0x3F7F8BBD,0x3C732825,0xB9B7FC32,0xBC52217D,0x3F7F89A2,0x3C75934A,0xB9BB4C6C,
-	0xBC53EAE0,0x3F7F8782,0x3C77FF60,0xB9BEA400,0xBC55B3C9,0x3F7F855E,0x3C7A6C66,0xB9C202EC,
-	0xBC577C37,0x3F7F8335,0x3C7CDA5C,0xB9C5692E,0xBC59442A,0x3F7F8106,0x3C7F4942,0xB9C8D6C5,
-	0xBC5B0BA2,0x3F7F7ED4,0x3C80DC8C,0xB9CC4BB0,0xBC5CD2A1,0x3F7F7C9C,0x3C8214EF,0xB9CFC7ED,
-	0xBC5E9924,0x3F7F7A60,0x3C834DCA,0xB9D34B7A,0xBC605F2D,0x3F7F781F,0x3C84871C,0xB9D6D656,
-	0xBC6224BC,0x3F7F75D9,0x3C85C0E6,0xB9DA6880,0xBC63E9D0,0x3F7F738E,0x3C86FB28,0xB9DE01F6,
-	0xBC65AE6A,0x3F7F713F,0x3C8835E1,0xB9E1A2B6,0xBC67728A,0x3F7F6EEB,0x3C897111,0xB9E54ABF,
-	0xBC693630,0x3F7F6C92,0x3C8AACB9,0xB9E8FA10,0xBC6AF95B,0x3F7F6A35,0x3C8BE8D8,0xB9ECB0A7,
-	0xBC6CBC0C,0x3F7F67D3,0x3C8D256E,0xB9F06E82,0xBC6E7E43,0x3F7F656C,0x3C8E627C,0xB9F433A0,
-	0xBC704000,0x3F7F6300,0x3C8FA000,0xB9F80000,0xBC720143,0x3F7F6090,0x3C90DDFB,0xB9FBD3A0,
-	0xBC73C20C,0x3F7F5E1B,0x3C921C6E,0xB9FFAE7E,0xBC75825B,0x3F7F5BA1,0x3C935B57,0xBA01C84D,
-	0xBC774230,0x3F7F5922,0x3C949AB7,0xBA03BCF8,0xBC79018C,0x3F7F569F,0x3C95DA8E,0xBA05B540,
-	0xBC7AC06E,0x3F7F5417,0x3C971ADB,0xBA07B125,0xBC7C7ED6,0x3F7F518B,0x3C985B9F,0xBA09B0A5,
-	0xBC7E3CC4,0x3F7F4EF9,0x3C999CDA,0xBA0BB3C0,0xBC7FFA39,0x3F7F4C63,0x3C9ADE8B,0xBA0DBA75,
-	0xBC80DB9A,0x3F7F49C8,0x3C9C20B2,0xBA0FC4C3,0xBC81B9DB,0x3F7F4729,0x3C9D6350,0xBA11D2AA,
-	0xBC8297DF,0x3F7F4485,0x3C9EA664,0xBA13E428,0xBC8375A6,0x3F7F41DC,0x3C9FE9EE,0xBA15F93D,
-	0xBC845331,0x3F7F3F2F,0x3CA12DEE,0xBA1811E9,0xBC85307F,0x3F7F3C7C,0x3CA27264,0xBA1A2E2A,
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-	0xBD38BE43,0x3F7816CD,0x3DA7B09C,0xBBC07DE8,0xBD39084F,0x3F780E87,0x3DA82401,0xBBC14147,
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-	0xBD523120,0x3F74CAE8,0x3DD39B31,0xBC06CF02,0xBD5271A8,0x3F74C138,0x3DD416FC,0xBC073F40,
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-	0xBD53B2D6,0x3F749090,0x3DD6833F,0xBC0972A8,0xBD53F2C6,0x3F7486CA,0x3DD6FF8F,0xBC09E3C7,
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-	0xBD54B200,0x3F746960,0x3DD87500,0xBC0B3800,0xBD54F18B,0x3F745F8B,0x3DD8F1A7,0xBC0BA9B2,
-	0xBD5530FE,0x3F7455B2,0x3DD96E64,0xBC0C1B8A,0xBD557056,0x3F744BD5,0x3DD9EB36,0xBC0C8D86,
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-	0xBD56AB99,0x3F741A4D,0x3DDC5C9A,0xBC0EC99C,0xBD56EA5B,0x3F74105A,0x3DDCD9F0,0xBC0F3C75,
-	0xBD572903,0x3F740663,0x3DDD575B,0xBC0FAF72,0xBD576793,0x3F73FC68,0x3DDDD4DC,0xBC102294,
-	0xBD57A609,0x3F73F26A,0x3DDE5272,0xBC1095DA,0xBD57E467,0x3F73E868,0x3DDED01E,0xBC110945,
-	0xBD5822AB,0x3F73DE62,0x3DDF4DE0,0xBC117CD5,0xBD5860D6,0x3F73D459,0x3DDFCBB7,0xBC11F088,
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-	0xBD591AC1,0x3F73B626,0x3DE145BF,0xBC134C7C,0xBD595888,0x3F73AC0E,0x3DE1C3EC,0xBC13C0C1,
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-	0xBCF15AD5,0x3E8C0DAC,0x3F5432D8,0xBD9576BB,0xBCF1071D,0x3E8BE4C7,0x3F5443E4,0xBD957075,
-	0xBCF0B36A,0x3E8BBBE4,0x3F5454EE,0xBD956A26,0xBCF05FBB,0x3E8B9304,0x3F5465F5,0xBD9563CD,
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-	0xBCEF64C9,0x3E8B1876,0x3F5498FD,0xBD95508E,0xBCEF112C,0x3E8AEFA1,0x3F54A9FB,0xBD954A11,
-	0xBCEEBD93,0x3E8AC6D0,0x3F54BAF6,0xBD95438B,0xBCEE69FF,0x3E8A9E01,0x3F54CBEF,0xBD953CFC,
-	0xBCEE1670,0x3E8A7535,0x3F54DCE6,0xBD953664,0xBCEDC2E5,0x3E8A4C6C,0x3F54EDDA,0xBD952FC3,
-	0xBCED6F5F,0x3E8A23A6,0x3F54FECB,0xBD952918,0xBCED1BDE,0x3E89FAE3,0x3F550FBA,0xBD952265,
-	0xBCECC861,0x3E89D222,0x3F5520A7,0xBD951BA8,0xBCEC74E9,0x3E89A965,0x3F553191,0xBD9514E2,
-	0xBCEC2176,0x3E8980AA,0x3F554279,0xBD950E12,0xBCEBCE08,0x3E8957F2,0x3F55535E,0xBD95073A,
-	0xBCEB7A9E,0x3E892F3E,0x3F556441,0xBD950058,0xBCEB2739,0x3E89068C,0x3F557522,0xBD94F96E,
-	0xBCEAD3D9,0x3E88DDDD,0x3F558600,0xBD94F27A,0xBCEA807E,0x3E88B531,0x3F5596DB,0xBD94EB7C,
-	0xBCEA2D28,0x3E888C87,0x3F55A7B4,0xBD94E476,0xBCE9D9D6,0x3E8863E1,0x3F55B88B,0xBD94DD66,
-	0xBCE9868A,0x3E883B3E,0x3F55C95F,0xBD94D64E,0xBCE93342,0x3E88129D,0x3F55DA31,0xBD94CF2B,
-	0xBCE8E000,0x3E87EA00,0x3F55EB00,0xBD94C800,0xBCE88CC3,0x3E87C165,0x3F55FBCD,0xBD94C0CB,
-	0xBCE8398A,0x3E8798CE,0x3F560C97,0xBD94B98D,0xBCE7E657,0x3E877039,0x3F561D5F,0xBD94B246,
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-	0xBCE6ECDB,0x3E86F68D,0x3F564FA7,0xBD949C39,0xBCE699BC,0x3E86CE04,0x3F566065,0xBD9494CD,
-	0xBCE646A2,0x3E86A57E,0x3F567121,0xBD948D58,0xBCE5F38D,0x3E867CFC,0x3F5681DA,0xBD9485D9,
-	0xBCE5A07E,0x3E86547C,0x3F569290,0xBD947E51,0xBCE54D74,0x3E862BFF,0x3F56A344,0xBD9476BF,
-	0xBCE4FA6F,0x3E860385,0x3F56B3F6,0xBD946F24,0xBCE4A76F,0x3E85DB0E,0x3F56C4A5,0xBD946780,
-	0xBCE45475,0x3E85B29A,0x3F56D551,0xBD945FD3,0xBCE40180,0x3E858A29,0x3F56E5FB,0xBD94581C,
-	0xBCE3AE90,0x3E8561BB,0x3F56F6A2,0xBD94505C,0xBCE35BA6,0x3E853950,0x3F570747,0xBD944893,
-	0xBCE308C1,0x3E8510E8,0x3F5717EA,0xBD9440C0,0xBCE2B5E1,0x3E84E883,0x3F57288A,0xBD9438E4,
-	0xBCE26307,0x3E84C021,0x3F573927,0xBD9430FE,0xBCE21033,0x3E8497C3,0x3F5749C2,0xBD94290F,
-	0xBCE1BD64,0x3E846F67,0x3F575A5B,0xBD942117,0xBCE16A9A,0x3E84470E,0x3F576AF1,0xBD941915,
-	0xBCE117D6,0x3E841EB8,0x3F577B84,0xBD94110A,0xBCE0C518,0x3E83F665,0x3F578C15,0xBD9408F6,
-	0xBCE0725F,0x3E83CE16,0x3F579CA3,0xBD9400D8,0xBCE01FAB,0x3E83A5C9,0x3F57AD2F,0xBD93F8B1,
-	0xBCDFCCFE,0x3E837D80,0x3F57BDB8,0xBD93F081,0xBCDF7A56,0x3E835539,0x3F57CE3F,0xBD93E847,
-	0xBCDF27B3,0x3E832CF6,0x3F57DEC3,0xBD93E003,0xBCDED517,0x3E8304B5,0x3F57EF45,0xBD93D7B6,
-	0xBCDE8280,0x3E82DC78,0x3F57FFC4,0xBD93CF60,0xBCDE2FEF,0x3E82B43E,0x3F581041,0xBD93C700,
-	0xBCDDDD64,0x3E828C07,0x3F5820BB,0xBD93BE97,0xBCDD8ADE,0x3E8263D3,0x3F583132,0xBD93B625,
-	0xBCDD385E,0x3E823BA2,0x3F5841A7,0xBD93ADA8,0xBCDCE5E4,0x3E821374,0x3F58521A,0xBD93A523,
-	0xBCDC9370,0x3E81EB49,0x3F586289,0xBD939C94,0xBCDC4102,0x3E81C321,0x3F5872F7,0xBD9393FB,
-	0xBCDBEE9A,0x3E819AFD,0x3F588362,0xBD938B5A,0xBCDB9C38,0x3E8172DB,0x3F5893CA,0xBD9382AE,
-	0xBCDB49DB,0x3E814ABD,0x3F58A42F,0xBD9379F9,0xBCDAF785,0x3E8122A2,0x3F58B493,0xBD93713B,
-	0xBCDAA535,0x3E80FA8A,0x3F58C4F3,0xBD936873,0xBCDA52EA,0x3E80D275,0x3F58D551,0xBD935FA1,
-	0xBCDA00A6,0x3E80AA63,0x3F58E5AC,0xBD9356C6,0xBCD9AE68,0x3E808255,0x3F58F605,0xBD934DE2,
-	0xBCD95C30,0x3E805A49,0x3F59065C,0xBD9344F4,0xBCD909FE,0x3E803241,0x3F5916AF,0xBD933BFC,
-	0xBCD8B7D2,0x3E800A3B,0x3F592700,0xBD9332FB,0xBCD865AD,0x3E7FC473,0x3F59374F,0xBD9329F1,
-	0xBCD8138D,0x3E7F7475,0x3F59479B,0xBD9320DD,0xBCD7C174,0x3E7F247E,0x3F5957E4,0xBD9317BF,
-	0xBCD76F61,0x3E7ED48C,0x3F59682B,0xBD930E98,0xBCD71D54,0x3E7E84A2,0x3F59786F,0xBD930567,
-	0xBCD6CB4E,0x3E7E34BD,0x3F5988B1,0xBD92FC2C,0xBCD6794E,0x3E7DE4DF,0x3F5998F0,0xBD92F2E9,
-	0xBCD62754,0x3E7D9508,0x3F59A92C,0xBD92E99B,0xBCD5D561,0x3E7D4536,0x3F59B966,0xBD92E044,
-	0xBCD58374,0x3E7CF56B,0x3F59C99D,0xBD92D6E3,0xBCD5318D,0x3E7CA5A7,0x3F59D9D2,0xBD92CD79,
-	0xBCD4DFAD,0x3E7C55E9,0x3F59EA04,0xBD92C405,0xBCD48DD3,0x3E7C0631,0x3F59FA33,0xBD92BA87,
-	0xBCD43C00,0x3E7BB680,0x3F5A0A60,0xBD92B100,0xBCD3EA33,0x3E7B66D5,0x3F5A1A8A,0xBD92A76F,
-	0xBCD3986D,0x3E7B1731,0x3F5A2AB2,0xBD929DD5,0xBCD346AD,0x3E7AC793,0x3F5A3AD7,0xBD929431,
-	0xBCD2F4F4,0x3E7A77FC,0x3F5A4AF9,0xBD928A83,0xBCD2A342,0x3E7A286B,0x3F5A5B19,0xBD9280CC,
-	0xBCD25196,0x3E79D8E0,0x3F5A6B36,0xBD92770B,0xBCD1FFF1,0x3E79895C,0x3F5A7B50,0xBD926D40,
-	0xBCD1AE52,0x3E7939DF,0x3F5A8B68,0xBD92636C,0xBCD15CBA,0x3E78EA68,0x3F5A9B7E,0xBD92598D,
-	0xBCD10B29,0x3E789AF7,0x3F5AAB90,0xBD924FA6,0xBCD0B99E,0x3E784B8D,0x3F5ABBA0,0xBD9245B4,
-	0xBCD0681B,0x3E77FC2A,0x3F5ACBAD,0xBD923BB9,0xBCD0169E,0x3E77ACCD,0x3F5ADBB8,0xBD9231B5,
-	0xBCCFC528,0x3E775D77,0x3F5AEBC0,0xBD9227A6,0xBCCF73B8,0x3E770E27,0x3F5AFBC6,0xBD921D8E,
-	0xBCCF2250,0x3E76BEDE,0x3F5B0BC8,0xBD92136C,0xBCCED0EE,0x3E766F9B,0x3F5B1BC9,0xBD920940,
-	0xBCCE7F94,0x3E76205F,0x3F5B2BC6,0xBD91FF0B,0xBCCE2E40,0x3E75D12A,0x3F5B3BC1,0xBD91F4CC,
-	0xBCCDDCF3,0x3E7581FB,0x3F5B4BB9,0xBD91EA83,0xBCCD8BAD,0x3E7532D3,0x3F5B5BAF,0xBD91E031,
-	0xBCCD3A6F,0x3E74E3B1,0x3F5B6BA2,0xBD91D5D4,0xBCCCE937,0x3E749497,0x3F5B7B92,0xBD91CB6E,
-	0xBCCC9806,0x3E744582,0x3F5B8B7F,0xBD91C0FE,0xBCCC46DC,0x3E73F675,0x3F5B9B6A,0xBD91B685,
-	0xBCCBF5BA,0x3E73A76E,0x3F5BAB53,0xBD91AC02,0xBCCBA49E,0x3E73586D,0x3F5BBB38,0xBD91A174,
-	0xBCCB538A,0x3E730974,0x3F5BCB1B,0xBD9196DE,0xBCCB027D,0x3E72BA81,0x3F5BDAFB,0xBD918C3D,
-	0xBCCAB176,0x3E726B94,0x3F5BEAD9,0xBD918192,0xBCCA6078,0x3E721CAF,0x3F5BFAB4,0xBD9176DE,
-	0xBCCA0F80,0x3E71CDD0,0x3F5C0A8C,0xBD916C20,0xBCC9BE90,0x3E717EF8,0x3F5C1A62,0xBD916158,
-	0xBCC96DA7,0x3E713026,0x3F5C2A34,0xBD915686,0xBCC91CC5,0x3E70E15C,0x3F5C3A05,0xBD914BAB,
-	0xBCC8CBEA,0x3E709298,0x3F5C49D2,0xBD9140C5,0xBCC87B17,0x3E7043DB,0x3F5C599D,0xBD9135D6,
-	0xBCC82A4B,0x3E6FF524,0x3F5C6965,0xBD912ADD,0xBCC7D987,0x3E6FA675,0x3F5C792A,0xBD911FDA,
-	0xBCC788CA,0x3E6F57CC,0x3F5C88ED,0xBD9114CE,0xBCC73814,0x3E6F092A,0x3F5C98AD,0xBD9109B7,
-	0xBCC6E766,0x3E6EBA8E,0x3F5CA86A,0xBD90FE96,0xBCC696C0,0x3E6E6BFA,0x3F5CB825,0xBD90F36C,
-	0xBCC64621,0x3E6E1D6C,0x3F5CC7DD,0xBD90E838,0xBCC5F589,0x3E6DCEE5,0x3F5CD792,0xBD90DCFA,
-	0xBCC5A4F9,0x3E6D8065,0x3F5CE745,0xBD90D1B2,0xBCC55471,0x3E6D31EC,0x3F5CF6F4,0xBD90C660,
-	0xBCC503F0,0x3E6CE37A,0x3F5D06A2,0xBD90BB04,0xBCC4B377,0x3E6C950F,0x3F5D164C,0xBD90AF9E,
-	0xBCC46305,0x3E6C46AA,0x3F5D25F4,0xBD90A42F,0xBCC4129B,0x3E6BF84C,0x3F5D3598,0xBD9098B5,
-	0xBCC3C239,0x3E6BA9F5,0x3F5D453B,0xBD908D32,0xBCC371DF,0x3E6B5BA6,0x3F5D54DA,0xBD9081A4,
-	0xBCC3218C,0x3E6B0D5D,0x3F5D6477,0xBD90760D,0xBCC2D141,0x3E6ABF1A,0x3F5D7411,0xBD906A6C,
-	0xBCC280FE,0x3E6A70DF,0x3F5D83A8,0xBD905EC0,0xBCC230C3,0x3E6A22AB,0x3F5D933D,0xBD90530B,
-	0xBCC1E08F,0x3E69D47E,0x3F5DA2CF,0xBD90474C,0xBCC19064,0x3E698657,0x3F5DB25E,0xBD903B83,
-	0xBCC14040,0x3E693838,0x3F5DC1EA,0xBD902FB0,0xBCC0F024,0x3E68EA1F,0x3F5DD174,0xBD9023D3,
-	0xBCC0A010,0x3E689C0E,0x3F5DE0FB,0xBD9017EC,0xBCC05004,0x3E684E03,0x3F5DF07F,0xBD900BFB,
-	0xBCC00000,0x3E680000,0x3F5E0000,0xBD900000,0xBCBFB004,0x3E67B204,0x3F5E0F7F,0xBD8FF3FB,
-	0xBCBF6010,0x3E67640E,0x3F5E1EFA,0xBD8FE7EC,0xBCBF1024,0x3E671620,0x3F5E2E74,0xBD8FDBD3,
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-	0xBCBD8102,0x3E6590E1,0x3F5E7BA8,0xBD8F9EC0,0xBCBD3147,0x3E65431D,0x3F5E8B10,0xBD8F926A,
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-	0xBCB25F8D,0x3E5AB2F5,0x3F609F7B,0xBD8DC9DD,0xBCB21108,0x3E5A6635,0x3F60AE7E,0xBD8DBC1A,
-	0xBCB1C28C,0x3E5A197D,0x3F60BD7F,0xBD8DAE4D,0xBCB1741A,0x3E59CCCC,0x3F60CC7D,0xBD8DA076,
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-	0xBCB088F8,0x3E58E6E5,0x3F60F965,0xBD8D76B2,0xBCB03AAA,0x3E589A52,0x3F610857,0xBD8D68B1,
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-	0xBCAF4FF7,0x3E57B4C5,0x3F61351D,0xBD8D3E72,0xBCAF01CE,0x3E57684F,0x3F614404,0xBD8D3049,
-	0xBCAEB3AE,0x3E571BE1,0x3F6152E8,0xBD8D2214,0xBCAE6597,0x3E56CF7B,0x3F6161C9,0xBD8D13D6,
-	0xBCAE178A,0x3E56831C,0x3F6170A7,0xBD8D058D,0xBCADC986,0x3E5636C4,0x3F617F82,0xBD8CF73A,
-	0xBCAD7B8C,0x3E55EA74,0x3F618E5B,0xBD8CE8DD,0xBCAD2D9B,0x3E559E2C,0x3F619D31,0xBD8CDA75,
-	0xBCACDFB3,0x3E5551EB,0x3F61AC03,0xBD8CCC03,0xBCAC91D5,0x3E5505B2,0x3F61BAD3,0xBD8CBD87,
-	0xBCAC4400,0x3E54B980,0x3F61C9A0,0xBD8CAF00,0xBCABF635,0x3E546D56,0x3F61D86A,0xBD8CA06F,
-	0xBCABA873,0x3E542133,0x3F61E731,0xBD8C91D3,0xBCAB5ABB,0x3E53D518,0x3F61F5F5,0xBD8C832D,
-	0xBCAB0D0C,0x3E538905,0x3F6204B7,0xBD8C747D,0xBCAABF67,0x3E533CF9,0x3F621375,0xBD8C65C2,
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-	0xBAF74CFC,0x3D216FB8,0x3F7D84FD,0xBCE40A30,0xBAF5774E,0x3D20B377,0x3F7D89C4,0xBCE347FB,
-	0xBAF3A340,0x3D1FF76E,0x3F7D8E87,0xBCE2858C,0xBAF1D0D0,0x3D1F3B9B,0x3F7D9346,0xBCE1C2E3,
-	0xBAF00000,0x3D1E8000,0x3F7D9800,0xBCE10000,0xBAEE30D0,0x3D1DC49C,0x3F7D9CB6,0xBCE03CE3,
-	0xBAEC6340,0x3D1D096E,0x3F7DA167,0xBCDF798C,0xBAEA9752,0x3D1C4E78,0x3F7DA614,0xBCDEB5FB,
-	0xBAE8CD04,0x3D1B93B8,0x3F7DAABC,0xBCDDF230,0xBAE70458,0x3D1AD930,0x3F7DAF60,0xBCDD2E2B,
-	0xBAE53D4E,0x3D1A1EDF,0x3F7DB400,0xBCDC69EB,0xBAE377E5,0x3D1964C6,0x3F7DB89B,0xBCDBA572,
-	0xBAE1B420,0x3D18AAE3,0x3F7DBD32,0xBCDAE0BE,0xBADFF1FE,0x3D17F138,0x3F7DC1C4,0xBCDA1BD0,
-	0xBADE317E,0x3D1737C4,0x3F7DC652,0xBCD956A8,0xBADC72A3,0x3D167E87,0x3F7DCADB,0xBCD89146,
-	0xBADAB56C,0x3D15C582,0x3F7DCF60,0xBCD7CBA9,0xBAD8F9D9,0x3D150CB4,0x3F7DD3E0,0xBCD705D2,
-	0xBAD73FEC,0x3D14541E,0x3F7DD85C,0xBCD63FC1,0xBAD587A3,0x3D139BBF,0x3F7DDCD4,0xBCD57976,
-	0xBAD3D100,0x3D12E398,0x3F7DE146,0xBCD4B2F0,0xBAD21C03,0x3D122BA8,0x3F7DE5B5,0xBCD3EC30,
-	0xBAD068AC,0x3D1173F0,0x3F7DEA1F,0xBCD32535,0xBACEB6FD,0x3D10BC70,0x3F7DEE85,0xBCD25E00,
-	0xBACD06F4,0x3D100527,0x3F7DF2E6,0xBCD19691,0xBACB5893,0x3D0F4E16,0x3F7DF742,0xBCD0CEE7,
-	0xBAC9ABDA,0x3D0E973C,0x3F7DFB9A,0xBCD00702,0xBAC800C8,0x3D0DE09B,0x3F7DFFEE,0xBCCF3EE3,
-	0xBAC65760,0x3D0D2A31,0x3F7E043D,0xBCCE768A,0xBAC4AFA1,0x3D0C73FF,0x3F7E0888,0xBCCDADF6,
-	0xBAC3098A,0x3D0BBE05,0x3F7E0CCE,0xBCCCE527,0xBAC1651E,0x3D0B0843,0x3F7E110F,0xBCCC1C1E,
-	0xBABFC25C,0x3D0A52B9,0x3F7E154C,0xBCCB52DA,0xBABE2144,0x3D099D66,0x3F7E1985,0xBCCA895C,
-	0xBABC81D8,0x3D08E84C,0x3F7E1DB9,0xBCC9BFA3,0xBABAE416,0x3D08336A,0x3F7E21E9,0xBCC8F5AF,
-	0xBAB94800,0x3D077EC0,0x3F7E2614,0xBCC82B80,0xBAB7AD96,0x3D06CA4E,0x3F7E2A3B,0xBCC76117,
-	0xBAB614D8,0x3D061614,0x3F7E2E5D,0xBCC69672,0xBAB47DC8,0x3D056213,0x3F7E327A,0xBCC5CB94,
-	0xBAB2E864,0x3D04AE49,0x3F7E3693,0xBCC5007A,0xBAB154AE,0x3D03FAB8,0x3F7E3AA8,0xBCC43525,
-	0xBAAFC2A6,0x3D034760,0x3F7E3EB8,0xBCC36996,0xBAAE324B,0x3D02943F,0x3F7E42C4,0xBCC29DCB,
-	0xBAACA3A0,0x3D01E157,0x3F7E46CB,0xBCC1D1C6,0xBAAB16A4,0x3D012EA7,0x3F7E4ACD,0xBCC10586,
-	0xBAA98B56,0x3D007C30,0x3F7E4ECB,0xBCC0390B,0xBAA801B9,0x3CFF93E3,0x3F7E52C4,0xBCBF6C54,
-	0xBAA679CC,0x3CFE2FD6,0x3F7E56B9,0xBCBE9F63,0xBAA4F38F,0x3CFCCC3B,0x3F7E5AAA,0xBCBDD237,
-	0xBAA36F04,0x3CFB6911,0x3F7E5E95,0xBCBD04D0,0xBAA1EC29,0x3CFA0658,0x3F7E627D,0xBCBC372D,
-	0xBAA06B00,0x3CF8A410,0x3F7E6660,0xBCBB6950,0xBA9EEB89,0x3CF7423A,0x3F7E6A3E,0xBCBA9B37,
-	0xBA9D6DC4,0x3CF5E0D5,0x3F7E6E17,0xBCB9CCE4,0xBA9BF1B3,0x3CF47FE2,0x3F7E71EC,0xBCB8FE55,
-	0xBA9A7754,0x3CF31F60,0x3F7E75BD,0xBCB82F8B,0xBA98FEA9,0x3CF1BF50,0x3F7E7989,0xBCB76085,
-	0xBA9787B2,0x3CF05FB1,0x3F7E7D50,0xBCB69145,0xBA96126E,0x3CEF0085,0x3F7E8113,0xBCB5C1C9,
-	0xBA949EE0,0x3CEDA1CA,0x3F7E84D2,0xBCB4F212,0xBA932D07,0x3CEC4381,0x3F7E888B,0xBCB42220,
-	0xBA91BCE2,0x3CEAE5AA,0x3F7E8C41,0xBCB351F2,0xBA904E74,0x3CE98846,0x3F7E8FF1,0xBCB28189,
-	0xBA8EE1BC,0x3CE82B53,0x3F7E939D,0xBCB1B0E4,0xBA8D76BA,0x3CE6CED3,0x3F7E9745,0xBCB0E004,
-	0xBA8C0D70,0x3CE572C5,0x3F7E9AE8,0xBCB00EE9,0xBA8AA5DC,0x3CE41729,0x3F7E9E86,0xBCAF3D92,
-	0xBA894000,0x3CE2BC00,0x3F7EA220,0xBCAE6C00,0xBA87DBDC,0x3CE16149,0x3F7EA5B5,0xBCAD9A32,
-	0xBA867970,0x3CE00705,0x3F7EA946,0xBCACC829,0xBA8518BE,0x3CDEAD34,0x3F7EACD2,0xBCABF5E4,
-	0xBA83B9C4,0x3CDD53D5,0x3F7EB059,0xBCAB2364,0xBA825C84,0x3CDBFAE9,0x3F7EB3DC,0xBCAA50A8,
-	0xBA8100FE,0x3CDAA270,0x3F7EB75B,0xBCA97DB0,0xBA7F4E63,0x3CD94A69,0x3F7EBAD4,0xBCA8AA7D,
-	0xBA7C9E40,0x3CD7F2D6,0x3F7EBE49,0xBCA7D70E,0xBA79F193,0x3CD69BB6,0x3F7EC1BA,0xBCA70363,
-	0xBA77485D,0x3CD54509,0x3F7EC526,0xBCA62F7D,0xBA74A29E,0x3CD3EECF,0x3F7EC88D,0xBCA55B5B,
-	0xBA720058,0x3CD29908,0x3F7ECBF0,0xBCA486FD,0xBA6F618B,0x3CD143B5,0x3F7ECF4E,0xBCA3B264,
-	0xBA6CC637,0x3CCFEED5,0x3F7ED2A7,0xBCA2DD8E,0xBA6A2E5E,0x3CCE9A69,0x3F7ED5FC,0xBCA2087D,
-	0xBA679A00,0x3CCD4670,0x3F7ED94C,0xBCA13330,0xBA65091E,0x3CCBF2EB,0x3F7EDC98,0xBCA05DA7,
-	0xBA627BB9,0x3CCA9FD9,0x3F7EDFDF,0xBC9F87E2,0xBA5FF1D1,0x3CC94D3C,0x3F7EE322,0xBC9EB1E1,
-	0xBA5D6B68,0x3CC7FB12,0x3F7EE65F,0xBC9DDBA5,0xBA5AE87E,0x3CC6A95C,0x3F7EE999,0xBC9D052C,
-	0xBA586913,0x3CC5581A,0x3F7EECCD,0xBC9C2E77,0xBA55ED29,0x3CC4074C,0x3F7EEFFD,0xBC9B5787,
-	0xBA5374C0,0x3CC2B6F2,0x3F7EF328,0xBC9A805A,0xBA50FFD9,0x3CC1670C,0x3F7EF64F,0xBC99A8F1,
-	0xBA4E8E75,0x3CC0179B,0x3F7EF971,0xBC98D14C,0xBA4C2094,0x3CBEC89E,0x3F7EFC8F,0xBC97F96B,
-	0xBA49B638,0x3CBD7A15,0x3F7EFFA7,0xBC97214E,0xBA474F61,0x3CBC2C01,0x3F7F02BB,0xBC9648F5,
-	0xBA44EC0F,0x3CBADE61,0x3F7F05CB,0xBC957060,0xBA428C44,0x3CB99136,0x3F7F08D6,0xBC94978E,
-	0xBA403000,0x3CB84480,0x3F7F0BDC,0xBC93BE80,0xBA3DD744,0x3CB6F83E,0x3F7F0EDE,0xBC92E536,
-	0xBA3B8211,0x3CB5AC72,0x3F7F11DA,0xBC920BAF,0xBA393067,0x3CB4611A,0x3F7F14D3,0xBC9131ED,
-	0xBA36E248,0x3CB31637,0x3F7F17C6,0xBC9057EE,0xBA3497B4,0x3CB1CBC9,0x3F7F1AB5,0xBC8F7DB2,
-	0xBA3250AB,0x3CB081D0,0x3F7F1D9F,0xBC8EA33B,0xBA300D2F,0x3CAF384C,0x3F7F2085,0xBC8DC887,
-	0xBA2DCD40,0x3CADEF3E,0x3F7F2366,0xBC8CED96,0xBA2B90DF,0x3CACA6A5,0x3F7F2642,0xBC8C1269,
-	0xBA29580D,0x3CAB5E81,0x3F7F291A,0xBC8B3700,0xBA2722CA,0x3CAA16D3,0x3F7F2BED,0xBC8A5B5A,
-	0xBA24F118,0x3CA8CF9A,0x3F7F2EBB,0xBC897F77,0xBA22C2F7,0x3CA788D7,0x3F7F3185,0xBC88A358,
-	0xBA209867,0x3CA6428A,0x3F7F344A,0xBC87C6FD,0xBA1E716A,0x3CA4FCB2,0x3F7F370A,0xBC86EA65,
-	0xBA1C4E00,0x3CA3B750,0x3F7F39C6,0xBC860D90,0xBA1A2E2A,0x3CA27264,0x3F7F3C7C,0xBC85307F,
-	0xBA1811E9,0x3CA12DEE,0x3F7F3F2F,0xBC845331,0xBA15F93D,0x3C9FE9EE,0x3F7F41DC,0xBC8375A6,
-	0xBA13E428,0x3C9EA664,0x3F7F4485,0xBC8297DF,0xBA11D2AA,0x3C9D6350,0x3F7F4729,0xBC81B9DB,
-	0xBA0FC4C3,0x3C9C20B2,0x3F7F49C8,0xBC80DB9A,0xBA0DBA75,0x3C9ADE8B,0x3F7F4C63,0xBC7FFA39,
-	0xBA0BB3C0,0x3C999CDA,0x3F7F4EF9,0xBC7E3CC4,0xBA09B0A5,0x3C985B9F,0x3F7F518B,0xBC7C7ED6,
-	0xBA07B125,0x3C971ADB,0x3F7F5417,0xBC7AC06E,0xBA05B540,0x3C95DA8E,0x3F7F569F,0xBC79018C,
-	0xBA03BCF8,0x3C949AB7,0x3F7F5922,0xBC774230,0xBA01C84D,0x3C935B57,0x3F7F5BA1,0xBC75825B,
-	0xB9FFAE7E,0x3C921C6E,0x3F7F5E1B,0xBC73C20C,0xB9FBD3A0,0x3C90DDFB,0x3F7F6090,0xBC720143,
-	0xB9F80000,0x3C8FA000,0x3F7F6300,0xBC704000,0xB9F433A0,0x3C8E627C,0x3F7F656C,0xBC6E7E43,
-	0xB9F06E82,0x3C8D256E,0x3F7F67D3,0xBC6CBC0C,0xB9ECB0A7,0x3C8BE8D8,0x3F7F6A35,0xBC6AF95B,
-	0xB9E8FA10,0x3C8AACB9,0x3F7F6C92,0xBC693630,0xB9E54ABF,0x3C897111,0x3F7F6EEB,0xBC67728A,
-	0xB9E1A2B6,0x3C8835E1,0x3F7F713F,0xBC65AE6A,0xB9DE01F6,0x3C86FB28,0x3F7F738E,0xBC63E9D0,
-	0xB9DA6880,0x3C85C0E6,0x3F7F75D9,0xBC6224BC,0xB9D6D656,0x3C84871C,0x3F7F781F,0xBC605F2D,
-	0xB9D34B7A,0x3C834DCA,0x3F7F7A60,0xBC5E9924,0xB9CFC7ED,0x3C8214EF,0x3F7F7C9C,0xBC5CD2A1,
-	0xB9CC4BB0,0x3C80DC8C,0x3F7F7ED4,0xBC5B0BA2,0xB9C8D6C5,0x3C7F4942,0x3F7F8106,0xBC59442A,
-	0xB9C5692E,0x3C7CDA5C,0x3F7F8335,0xBC577C37,0xB9C202EC,0x3C7A6C66,0x3F7F855E,0xBC55B3C9,
-	0xB9BEA400,0x3C77FF60,0x3F7F8782,0xBC53EAE0,0xB9BB4C6C,0x3C75934A,0x3F7F89A2,0xBC52217D,
-	0xB9B7FC32,0x3C732825,0x3F7F8BBD,0xBC50579E,0xB9B4B353,0x3C70BDF0,0x3F7F8DD4,0xBC4E8D45,
-	0xB9B171D0,0x3C6E54AC,0x3F7F8FE5,0xBC4CC272,0xB9AE37AB,0x3C6BEC58,0x3F7F91F2,0xBC4AF723,
-	0xB9AB04E6,0x3C6984F6,0x3F7F93FA,0xBC492B59,0xB9A7D982,0x3C671E84,0x3F7F95FD,0xBC475F14,
-	0xB9A4B580,0x3C64B904,0x3F7F97FC,0xBC459254,0xB9A198E2,0x3C625475,0x3F7F99F6,0xBC43C519,
-	0xB99E83AA,0x3C5FF0D8,0x3F7F9BEB,0xBC41F763,0xB99B75D9,0x3C5D8E2C,0x3F7F9DDB,0xBC402931,
-	0xB9986F70,0x3C5B2C72,0x3F7F9FC6,0xBC3E5A84,0xB9957071,0x3C58CBAB,0x3F7FA1AD,0xBC3C8B5C,
-	0xB99278DE,0x3C566BD5,0x3F7FA38F,0xBC3ABBB9,0xB98F88B8,0x3C540CF1,0x3F7FA56C,0xBC38EB9A,
-	0xB98CA000,0x3C51AF00,0x3F7FA744,0xBC371B00,0xB989BEB8,0x3C4F5201,0x3F7FA917,0xBC3549EA,
-	0xB986E4E2,0x3C4CF5F5,0x3F7FAAE6,0xBC337859,0xB984127F,0x3C4A9ADC,0x3F7FACB0,0xBC31A64C,
-	0xB9814790,0x3C4840B6,0x3F7FAE75,0xBC2FD3C4,0xB97D082E,0x3C45E782,0x3F7FB035,0xBC2E00BF,
-	0xB977902C,0x3C438F42,0x3F7FB1F1,0xBC2C2D3F,0xB972271C,0x3C4137F5,0x3F7FB3A8,0xBC2A5944,
-	0xB96CCD00,0x3C3EE19C,0x3F7FB55A,0xBC2884CC,0xB96781DC,0x3C3C8C36,0x3F7FB707,0xBC26AFD9,
-	0xB96245B4,0x3C3A37C4,0x3F7FB8AF,0xBC24DA69,0xB95D188A,0x3C37E446,0x3F7FBA52,0xBC23047E,
-	0xB957FA60,0x3C3591BC,0x3F7FBBF1,0xBC212E16,0xB952EB3A,0x3C334027,0x3F7FBD8B,0xBC1F5733,
-	0xB94DEB1C,0x3C30EF85,0x3F7FBF20,0xBC1D7FD4,0xB948FA08,0x3C2E9FD8,0x3F7FC0B0,0xBC1BA7F8,
-	0xB9441800,0x3C2C5120,0x3F7FC23C,0xBC19CFA0,0xB93F4508,0x3C2A035C,0x3F7FC3C2,0xBC17F6CC,
-	0xB93A8124,0x3C27B68E,0x3F7FC544,0xBC161D7B,0xB935CC56,0x3C256AB4,0x3F7FC6C1,0xBC1443AF,
-	0xB93126A0,0x3C231FD0,0x3F7FC839,0xBC126966,0xB92C9006,0x3C20D5E0,0x3F7FC9AC,0xBC108EA0,
-	0xB928088C,0x3C1E8CE7,0x3F7FCB1A,0xBC0EB35E,0xB9239034,0x3C1C44E2,0x3F7FCC84,0xBC0CD79F,
-	0xB91F2700,0x3C19FDD4,0x3F7FCDE9,0xBC0AFB64,0xB91ACCF4,0x3C17B7BB,0x3F7FCF49,0xBC091EAC,
-	0xB9168214,0x3C157299,0x3F7FD0A4,0xBC074178,0xB9124662,0x3C132E6D,0x3F7FD1FA,0xBC0563C6,
-	0xB90E19E0,0x3C10EB36,0x3F7FD34B,0xBC038598,0xB909FC92,0x3C0EA8F7,0x3F7FD498,0xBC01A6EE,
-	0xB905EE7C,0x3C0C67AE,0x3F7FD5DF,0xBBFF8F8C,0xB901EFA0,0x3C0A275B,0x3F7FD722,0xBBFBD043,
-	0xB8FC0000,0x3C07E800,0x3F7FD860,0xBBF81000,0xB8F43F41,0x3C05A99C,0x3F7FD999,0xBBF44EC3,
-	0xB8EC9D08,0x3C036C2E,0x3F7FDACD,0xBBF08C8C,0xB8E5195B,0x3C012FB8,0x3F7FDBFD,0xBBECC95B,
-	0xB8DDB440,0x3BFDE873,0x3F7FDD27,0xBBE9052F,0xB8D66DBD,0x3BF97365,0x3F7FDE4D,0xBBE54009,
-	0xB8CF45D8,0x3BF50046,0x3F7FDF6D,0xBBE179E9,0xB8C83C97,0x3BF08F17,0x3F7FE089,0xBBDDB2CE,
-	0xB8C15200,0x3BEC1FD8,0x3F7FE1A0,0xBBD9EAB8,0xB8BA8619,0x3BE7B289,0x3F7FE2B2,0xBBD621A8,
-	0xB8B3D8E8,0x3BE3472B,0x3F7FE3C0,0xBBD2579C,0xB8AD4A73,0x3BDEDDBD,0x3F7FE4C8,0xBBCE8C96,
-	0xB8A6DAC0,0x3BDA7641,0x3F7FE5CB,0xBBCAC095,0xB8A089D5,0x3BD610B6,0x3F7FE6CA,0xBBC6F399,
-	0xB89A57B8,0x3BD1AD1D,0x3F7FE7C4,0xBBC325A1,0xB894446F,0x3BCD4B75,0x3F7FE8B9,0xBBBF56AE,
-	0xB88E5000,0x3BC8EBC0,0x3F7FE9A8,0xBBBB86C0,0xB8887A71,0x3BC48DFD,0x3F7FEA94,0xBBB7B5D6,
-	0xB882C3C8,0x3BC0322D,0x3F7FEB7A,0xBBB3E3F1,0xB87A5816,0x3BBBD851,0x3F7FEC5B,0xBBB01110,
-	0xB86F6680,0x3BB78067,0x3F7FED37,0xBBAC3D33,0xB864B2DA,0x3BB32A71,0x3F7FEE0F,0xBBA8685A,
-	0xB85A3D30,0x3BAED66F,0x3F7FEEE1,0xBBA49286,0xB850058E,0x3BAA8461,0x3F7FEFAF,0xBBA0BBB5,
-	0xB8460C00,0x3BA63448,0x3F7FF077,0xBB9CE3E8,0xB83C5092,0x3BA1E623,0x3F7FF13B,0xBB990B1F,
-	0xB832D350,0x3B9D99F4,0x3F7FF1FA,0xBB953159,0xB8299446,0x3B994FBA,0x3F7FF2B4,0xBB915697,
-	0xB8209380,0x3B950775,0x3F7FF369,0xBB8D7AD9,0xB817D10A,0x3B90C126,0x3F7FF419,0xBB899E1E,
-	0xB80F4CF0,0x3B8C7CCE,0x3F7FF4C4,0xBB85C066,0xB807073E,0x3B883A6B,0x3F7FF56B,0xBB81E1B2,
-	0xB7FE0000,0x3B83FA00,0x3F7FF60C,0xBB7C0400,0xB7EE6E84,0x3B7F7717,0x3F7FF6A8,0xBB7442A3,
-	0xB7DF5A20,0x3B76FE1D,0x3F7FF740,0xBB6C7F4C,0xB7D0C2EC,0x3B6E8912,0x3F7FF7D2,0xBB64B9FA,
-	0xB7C2A900,0x3B6617F6,0x3F7FF860,0xBB5CF2AE,0xB7B50C74,0x3B5DAACB,0x3F7FF8E9,0xBB552967,
-	0xB7A7ED60,0x3B554190,0x3F7FF96C,0xBB4D5E25,0xB79B4BDC,0x3B4CDC47,0x3F7FF9EB,0xBB4590E8,
-	0xB78F2800,0x3B447AF0,0x3F7FFA65,0xBB3DC1B0,0xB78381E4,0x3B3C1D8B,0x3F7FFADA,0xBB35F07C,
-	0xB770B340,0x3B33C41A,0x3F7FFB4A,0xBB2E1D4D,0xB75B5E98,0x3B2B6E9C,0x3F7FFBB5,0xBB264821,
-	0xB7470600,0x3B231D12,0x3F7FFC1B,0xBB1E70FA,0xB733A9A8,0x3B1ACF7D,0x3F7FFC7C,0xBB1697D6,
-	0xB72149C0,0x3B1285DD,0x3F7FFCD8,0xBB0EBCB6,0xB70FE678,0x3B0A4033,0x3F7FFD2F,0xBB06DF9A,
-	0xB6FF0000,0x3B01FE80,0x3F7FFD82,0xBAFE0100,0xB6E02D10,0x3AF38187,0x3F7FFDCF,0xBAEE3ED3,
-	0xB6C35480,0x3AE30DFE,0x3F7FFE17,0xBADE78AC,0xB6A876B0,0x3AD2A264,0x3F7FFE5A,0xBACEAE89,
-	0xB68F9400,0x3AC23EBC,0x3F7FFE99,0xBABEE06C,0xB67159A0,0x3AB1E306,0x3F7FFED2,0xBAAF0E53,
-	0xB6478300,0x3AA18F44,0x3F7FFF06,0xBA9F383E,0xB621A4E0,0x3A914377,0x3F7FFF36,0xBA8F5E2E,
-	0xB5FF8000,0x3A80FFA0,0x3F7FFF60,0xBA7F0040,0xB5C3AA40,0x3A61877F,0x3F7FFF86,0xBA5F3C2B,
-	0xB58FCA00,0x3A411FAF,0x3F7FFFA6,0xBA3F701B,0xB547C180,0x3A20C7D1,0x3F7FFFC2,0xBA1F9C10,
-	0xB4FFC000,0x3A007FE8,0x3F7FFFD8,0xB9FF8010,0xB48FE500,0x39C08FEC,0x3F7FFFEA,0xB9BFB807,
-	0xB3FFE000,0x39803FFA,0x3F7FFFF6,0xB97FC004,0xB2FFF000,0x39001FFE,0x3F7FFFFE,0xB8FFE001
-};
--- a/src/mixer/ft2_intrp_table.h
+++ /dev/null
@@ -1,16 +1,0 @@
-#pragma once
-
-#include <stdint.h>
-#include "../ft2_audio.h"
-
-#define CUBIC_WIDTH 4 /* number of taps */
-#define CUBIC_WIDTH_BITS 2
-
-#define CUBIC_PHASES 4096
-#define CUBIC_PHASES_BITS 12
-
-extern const uint32_t fCubicSplineTable[CUBIC_WIDTH * CUBIC_PHASES];
-
-#define CUBIC_FSHIFT (MIXER_FRAC_BITS-(CUBIC_PHASES_BITS+CUBIC_WIDTH_BITS))
-#define CUBIC_FMASK ((CUBIC_WIDTH*CUBIC_PHASES)-CUBIC_WIDTH)
-#define CUBIC_QUANTSHIFT 15
--- a/src/mixer/ft2_mix.c
+++ b/src/mixer/ft2_mix.c
@@ -2,7 +2,6 @@
 #include <stdbool.h>
 #include "ft2_mix.h"
 #include "ft2_mix_macros.h"
-#include "ft2_intrp_table.h"
 #include "ft2_center_mix.h"
 
 /*
--- a/src/mixer/ft2_mix_macros.h
+++ b/src/mixer/ft2_mix_macros.h
@@ -2,6 +2,7 @@
 
 #include <assert.h>
 #include "../ft2_audio.h"
+#include "ft2_cubic.h"
 
 /* ----------------------------------------------------------------------- */
 /*                          GENERAL MIXER MACROS                           */
@@ -118,20 +119,14 @@
 	*fMixBufferL++ += fSample; \
 	*fMixBufferR++ += fSample; \
 
-// 4-tap cubic spline interpolation
+// 4-tap cubic spline interpolation through LUT (mixer/ft2_cubic.c)
 
-#define INTERPOLATE8(s0, s1, s2, s3, f) \
+#define INTERPOLATE(LUT, s0, s1, s2, s3, f) \
 { \
-	const float *t = (float *)fCubicSplineTable + ((f >> CUBIC_FSHIFT) & CUBIC_FMASK); \
-	s0 = ((s0 * t[0]) + (s1 * t[1]) + (s2 * t[2]) + (s3 * t[3])) * (1.0f / 128.0f); \
+	const float *t = (const float *)LUT + ((f >> CUBIC_FSHIFT) & CUBIC_FMASK); \
+	s0 = (s0 * t[0]) + (s1 * t[1]) + (s2 * t[2]) + (s3 * t[3]); \
 } \
 
-#define INTERPOLATE16(s0, s1, s2, s3, f) \
-{ \
-	const float *t = (float *)fCubicSplineTable + ((f >> CUBIC_FSHIFT) & CUBIC_FMASK); \
-	s0 = ((s0 * t[0]) + (s1 * t[1]) + (s2 * t[2]) + (s3 * t[3])) * (1.0f / 32768.0f); \
-} \
-
 /* 8bitbubsy: It may look like we are potentially going out of bounds by looking up sample point
 ** -1, 1 and 2, but the sample data is actually padded on both the left (negative) and right side,
 ** where correct samples are stored according to loop mode (or no loop).
@@ -148,7 +143,7 @@
 	fSample2 = smpPtr[0]; \
 	fSample3 = smpPtr[1]; \
 	fSample4 = smpPtr[2]; \
-	INTERPOLATE8(fSample, fSample2, fSample3, fSample4, posFrac) \
+	INTERPOLATE(fCubicLUT8, fSample, fSample2, fSample3, fSample4, posFrac) \
 	*fMixBufferL++ += fSample * fVolL; \
 	*fMixBufferR++ += fSample * fVolR; \
 
@@ -158,7 +153,7 @@
 	fSample2 = smpPtr[0]; \
 	fSample3 = smpPtr[1]; \
 	fSample4 = smpPtr[2]; \
-	INTERPOLATE8(fSample, fSample2, fSample3, fSample4, posFrac) \
+	INTERPOLATE(fCubicLUT8, fSample, fSample2, fSample3, fSample4, posFrac) \
 	fSample *= fVolL; \
 	*fMixBufferL++ += fSample; \
 	*fMixBufferR++ += fSample; \
@@ -169,7 +164,7 @@
 	fSample2 = smpPtr[0]; \
 	fSample3 = smpPtr[1]; \
 	fSample4 = smpPtr[2]; \
-	INTERPOLATE16(fSample, fSample2, fSample3, fSample4, posFrac) \
+	INTERPOLATE(fCubicLUT16, fSample, fSample2, fSample3, fSample4, posFrac) \
 	*fMixBufferL++ += fSample * fVolL; \
 	*fMixBufferR++ += fSample * fVolR; \
 
@@ -179,7 +174,7 @@
 	fSample2 = smpPtr[0]; \
 	fSample3 = smpPtr[1]; \
 	fSample4 = smpPtr[2]; \
-	INTERPOLATE16(fSample, fSample2, fSample3, fSample4, posFrac) \
+	INTERPOLATE(fCubicLUT16, fSample, fSample2, fSample3, fSample4, posFrac) \
 	fSample *= fVolL; \
 	*fMixBufferL++ += fSample; \
 	*fMixBufferR++ += fSample; \
--- a/vs2019_project/ft2-clone/ft2-clone.vcxproj
+++ b/vs2019_project/ft2-clone/ft2-clone.vcxproj
@@ -336,7 +336,7 @@
     <ClCompile Include="..\..\src\gfxdata\ft2_bmp_instr.c" />
     <ClCompile Include="..\..\src\gfxdata\ft2_bmp_looppins.c" />
     <ClCompile Include="..\..\src\gfxdata\ft2_bmp_scopes.c" />
-    <ClCompile Include="..\..\src\mixer\ft2_intrp_table.c" />
+    <ClCompile Include="..\..\src\mixer\ft2_cubic.c" />
     <ClCompile Include="..\..\src\mixer\ft2_mix.c" />
     <ClCompile Include="..\..\src\mixer\ft2_center_mix.c" />
     <ClCompile Include="..\..\src\mixer\ft2_silence_mix.c" />
@@ -400,7 +400,7 @@
     <ClInclude Include="..\..\src\ft2_unicode.h" />
     <ClInclude Include="..\..\src\ft2_video.h" />
     <ClInclude Include="..\..\src\ft2_wav_renderer.h" />
-    <ClInclude Include="..\..\src\mixer\ft2_intrp_table.h" />
+    <ClInclude Include="..\..\src\mixer\ft2_cubic.h" />
     <ClInclude Include="..\..\src\mixer\ft2_mix.h" />
     <ClInclude Include="..\..\src\mixer\ft2_mix_macros.h" />
     <ClInclude Include="..\..\src\mixer\ft2_center_mix.h" />
--- a/vs2019_project/ft2-clone/ft2-clone.vcxproj.filters
+++ b/vs2019_project/ft2-clone/ft2-clone.vcxproj.filters
@@ -78,9 +78,6 @@
     <ClCompile Include="..\..\src\mixer\ft2_mix.c">
       <Filter>mixer</Filter>
     </ClCompile>
-    <ClCompile Include="..\..\src\mixer\ft2_intrp_table.c">
-      <Filter>mixer</Filter>
-    </ClCompile>
     <ClCompile Include="..\..\src\mixer\ft2_center_mix.c">
       <Filter>mixer</Filter>
     </ClCompile>
@@ -87,6 +84,9 @@
     <ClCompile Include="..\..\src\mixer\ft2_silence_mix.c">
       <Filter>mixer</Filter>
     </ClCompile>
+    <ClCompile Include="..\..\src\mixer\ft2_cubic.c">
+      <Filter>mixer</Filter>
+    </ClCompile>
   </ItemGroup>
   <ItemGroup>
     <ClInclude Include="..\..\src\rtmidi\RtMidi.h">
@@ -227,13 +227,13 @@
     <ClInclude Include="..\..\src\mixer\ft2_mix_macros.h">
       <Filter>mixer</Filter>
     </ClInclude>
-    <ClInclude Include="..\..\src\mixer\ft2_intrp_table.h">
-      <Filter>mixer</Filter>
-    </ClInclude>
     <ClInclude Include="..\..\src\mixer\ft2_center_mix.h">
       <Filter>mixer</Filter>
     </ClInclude>
     <ClInclude Include="..\..\src\mixer\ft2_silence_mix.h">
+      <Filter>mixer</Filter>
+    </ClInclude>
+    <ClInclude Include="..\..\src\mixer\ft2_cubic.h">
       <Filter>mixer</Filter>
     </ClInclude>
   </ItemGroup>