From 42cf450ba83728cfadea9d636577eb4b948be4e4 Mon Sep 17 00:00:00 2001 From: Gregory Heskett Date: Wed, 7 Jun 2023 06:46:25 -0400 Subject: [PATCH] Increase size/configurability of volume ramping tables (#623) Vanilla's ramping table sounds absolutely horrendous, most noticeably when it comes to slow volume fade-ins/outs. By default, precision has been increased by 4x vanilla US, which overall has an insignificant impact on performance. This is still half as precise as EU's volume ramping table, that's about the point where additional memory and performance aspects are impacted more significantly. --- src/audio/data.c | 126 +- src/audio/data.h | 18 +- src/audio/synthesis.c | 19 +- src/audio/volramping.c.in | 6287 +++++++++++++++++++++++++++++++++++++ 4 files changed, 6311 insertions(+), 139 deletions(-) create mode 100644 src/audio/volramping.c.in diff --git a/src/audio/data.c b/src/audio/data.c index 105dda6b..55784d6f 100644 --- a/src/audio/data.c +++ b/src/audio/data.c @@ -688,131 +688,7 @@ f32 gDefaultPanVolume[128] = { }; #if defined(VERSION_JP) || defined(VERSION_US) -// gVolRampingLhs136[k] = 2^16 * max(1, (256*k)^(1/17) -f32 gVolRampingLhs136[128] = { - 65536.0f, 90811.555f, 94590.766f, 96873.96f, 98527.26f, 99829.06f, 100905.47f, - 101824.61f, 102627.57f, 103341.086f, 103983.55f, 104568.164f, 105104.75f, 105600.8f, - 106062.14f, 106493.46f, 106898.52f, 107280.414f, 107641.73f, 107984.62f, 108310.93f, - 108622.23f, 108919.875f, 109205.055f, 109478.8f, 109742.0f, 109995.48f, 110239.94f, - 110476.02f, 110704.305f, 110925.3f, 111139.45f, 111347.21f, 111548.945f, 111745.0f, - 111935.7f, 112121.35f, 112302.2f, 112478.51f, 112650.51f, 112818.4f, 112982.38f, - 113142.66f, 113299.37f, 113452.69f, 113602.766f, 113749.734f, 113893.73f, 114034.87f, - 114173.26f, 114309.02f, 114442.26f, 114573.055f, 114701.5f, 114827.69f, 114951.695f, - 115073.6f, 115193.47f, 115311.375f, 115427.39f, 115541.56f, 115653.96f, 115764.63f, - 115873.64f, 115981.04f, 116086.86f, 116191.164f, 116293.99f, 116395.38f, 116495.38f, - 116594.02f, 116691.34f, 116787.39f, 116882.19f, 116975.77f, 117068.17f, 117159.414f, - 117249.54f, 117338.57f, 117426.53f, 117513.45f, 117599.35f, 117684.266f, 117768.2f, - 117851.195f, 117933.266f, 118014.44f, 118094.72f, 118174.14f, 118252.71f, 118330.46f, - 118407.4f, 118483.55f, 118558.914f, 118633.53f, 118707.4f, 118780.54f, 118852.97f, - 118924.695f, 118995.74f, 119066.11f, 119135.82f, 119204.88f, 119273.31f, 119341.125f, - 119408.32f, 119474.92f, 119540.93f, 119606.36f, 119671.22f, 119735.52f, 119799.28f, - 119862.5f, 119925.195f, 119987.36f, 120049.02f, 120110.18f, 120170.84f, 120231.016f, - 120290.71f, 120349.945f, 120408.7f, 120467.016f, 120524.875f, 120582.3f, 120639.28f, - 120695.84f, 120751.984f -}; - -// gVolRampingRhs136[k] = 1 / max(1, (256*k)^(1/17)) -f32 gVolRampingRhs136[128] = { - 1.0f, 0.72167f, 0.692837f, 0.676508f, 0.665156f, 0.656482f, 0.649479f, 0.643616f, 0.638581f, - 0.634172f, 0.630254f, 0.62673f, 0.62353f, 0.620601f, 0.617902f, 0.615399f, 0.613067f, 0.610885f, - 0.608835f, 0.606901f, 0.605073f, 0.603339f, 0.60169f, 0.600119f, 0.598618f, 0.597183f, 0.595806f, - 0.594485f, 0.593215f, 0.591991f, 0.590812f, 0.589674f, 0.588573f, 0.587509f, 0.586478f, 0.585479f, - 0.58451f, 0.583568f, 0.582654f, 0.581764f, 0.580898f, 0.580055f, 0.579233f, 0.578432f, 0.57765f, - 0.576887f, 0.576142f, 0.575414f, 0.574701f, 0.574005f, 0.573323f, 0.572656f, 0.572002f, 0.571361f, - 0.570733f, 0.570118f, 0.569514f, 0.568921f, 0.568339f, 0.567768f, 0.567207f, 0.566656f, 0.566114f, - 0.565582f, 0.565058f, 0.564543f, 0.564036f, 0.563537f, 0.563046f, 0.562563f, 0.562087f, 0.561618f, - 0.561156f, 0.560701f, 0.560253f, 0.559811f, 0.559375f, 0.558945f, 0.558521f, 0.558102f, 0.557689f, - 0.557282f, 0.55688f, 0.556483f, 0.556091f, 0.555704f, 0.555322f, 0.554944f, 0.554571f, 0.554203f, - 0.553839f, 0.553479f, 0.553123f, 0.552772f, 0.552424f, 0.55208f, 0.55174f, 0.551404f, 0.551071f, - 0.550742f, 0.550417f, 0.550095f, 0.549776f, 0.549461f, 0.549148f, 0.548839f, 0.548534f, 0.548231f, - 0.547931f, 0.547634f, 0.54734f, 0.547048f, 0.54676f, 0.546474f, 0.546191f, 0.54591f, 0.545632f, - 0.545357f, 0.545084f, 0.544813f, 0.544545f, 0.54428f, 0.544016f, 0.543755f, 0.543496f, 0.543239f, - 0.542985f, 0.542732f -}; - -// gVolRampingLhs144[k] = 2^16 * max(1, (256*k)^(1/18)) -f32 gVolRampingLhs144[128] = { - 65536.0f, 89180.734f, 92681.9f, 94793.33f, 96320.52f, 97522.02f, 98514.84f, - 99362.14f, 100101.99f, 100759.16f, 101350.664f, 101888.74f, 102382.46f, 102838.75f, - 103263.016f, 103659.58f, 104031.914f, 104382.89f, 104714.88f, 105029.89f, 105329.61f, - 105615.5f, 105888.81f, 106150.63f, 106401.914f, 106643.49f, 106876.12f, 107100.44f, - 107317.05f, 107526.47f, 107729.17f, 107925.6f, 108116.125f, 108301.12f, 108480.88f, - 108655.72f, 108825.91f, 108991.68f, 109153.28f, 109310.914f, 109464.77f, 109615.04f, - 109761.88f, 109905.46f, 110045.92f, 110183.41f, 110318.02f, 110449.91f, 110579.17f, - 110705.914f, 110830.234f, 110952.234f, 111071.99f, 111189.59f, 111305.12f, 111418.64f, - 111530.23f, 111639.95f, 111747.875f, 111854.05f, 111958.54f, 112061.4f, 112162.67f, - 112262.42f, 112360.68f, 112457.51f, 112552.93f, 112647.0f, 112739.76f, 112831.23f, - 112921.46f, 113010.484f, 113098.33f, 113185.02f, 113270.61f, 113355.11f, 113438.555f, - 113520.97f, 113602.375f, 113682.805f, 113762.27f, 113840.81f, 113918.44f, 113995.18f, - 114071.055f, 114146.08f, 114220.266f, 114293.65f, 114366.24f, 114438.06f, 114509.12f, - 114579.44f, 114649.02f, 114717.91f, 114786.086f, 114853.586f, 114920.42f, 114986.6f, - 115052.14f, 115117.055f, 115181.34f, 115245.04f, 115308.13f, 115370.65f, 115432.59f, - 115493.98f, 115554.81f, 115615.11f, 115674.875f, 115734.12f, 115792.85f, 115851.08f, - 115908.82f, 115966.07f, 116022.85f, 116079.16f, 116135.01f, 116190.4f, 116245.35f, - 116299.87f, 116353.945f, 116407.6f, 116460.84f, 116513.67f, 116566.09f, 116618.125f, - 116669.76f, 116721.01f -}; - -// gVolRampingRhs144[k] = 1 / max(1, (256*k)^(1/18)) -f32 gVolRampingRhs144[128] = { - 1.0f, 0.734867f, 0.707107f, 0.691357f, 0.680395f, 0.672012f, 0.66524f, 0.659567f, 0.654692f, - 0.650422f, 0.646626f, 0.643211f, 0.64011f, 0.637269f, 0.634651f, 0.632223f, 0.629961f, 0.627842f, - 0.625852f, 0.623975f, 0.622199f, 0.620515f, 0.618913f, 0.617387f, 0.615929f, 0.614533f, 0.613196f, - 0.611912f, 0.610677f, 0.609487f, 0.60834f, 0.607233f, 0.606163f, 0.605128f, 0.604125f, 0.603153f, - 0.60221f, 0.601294f, 0.600403f, 0.599538f, 0.598695f, 0.597874f, 0.597074f, 0.596294f, 0.595533f, - 0.59479f, 0.594064f, 0.593355f, 0.592661f, 0.591983f, 0.591319f, 0.590669f, 0.590032f, 0.589408f, - 0.588796f, 0.588196f, 0.587608f, 0.58703f, 0.586463f, 0.585906f, 0.58536f, 0.584822f, 0.584294f, - 0.583775f, 0.583265f, 0.582762f, 0.582268f, 0.581782f, 0.581303f, 0.580832f, 0.580368f, 0.579911f, - 0.57946f, 0.579017f, 0.578579f, 0.578148f, 0.577722f, 0.577303f, 0.576889f, 0.576481f, 0.576078f, - 0.575681f, 0.575289f, 0.574902f, 0.574519f, 0.574142f, 0.573769f, 0.5734f, 0.573036f, 0.572677f, - 0.572321f, 0.57197f, 0.571623f, 0.57128f, 0.57094f, 0.570605f, 0.570273f, 0.569945f, 0.56962f, - 0.569299f, 0.568981f, 0.568667f, 0.568355f, 0.568047f, 0.567743f, 0.567441f, 0.567142f, 0.566846f, - 0.566553f, 0.566263f, 0.565976f, 0.565692f, 0.56541f, 0.565131f, 0.564854f, 0.56458f, 0.564309f, - 0.56404f, 0.563773f, 0.563509f, 0.563247f, 0.562987f, 0.56273f, 0.562475f, 0.562222f, 0.561971f, - 0.561722f, 0.561476f -}; - -// gVolRampingLhs128[k] = 2^16 * max(1, (256*k)^(1/16)) -f32 gVolRampingLhs128[128] = { - 65536.0f, 92681.9f, 96785.28f, 99269.31f, 101070.33f, 102489.78f, 103664.336f, - 104667.914f, 105545.09f, 106324.92f, 107027.39f, 107666.84f, 108253.95f, 108796.87f, - 109301.95f, 109774.29f, 110217.98f, 110636.39f, 111032.33f, 111408.164f, 111765.9f, - 112107.234f, 112433.66f, 112746.46f, 113046.766f, 113335.555f, 113613.72f, 113882.02f, - 114141.164f, 114391.77f, 114634.414f, 114869.58f, 115097.74f, 115319.31f, 115534.68f, - 115744.19f, 115948.16f, 116146.875f, 116340.625f, 116529.66f, 116714.195f, 116894.46f, - 117070.64f, 117242.945f, 117411.52f, 117576.55f, 117738.17f, 117896.54f, 118051.77f, - 118204.0f, 118353.35f, 118499.92f, 118643.83f, 118785.16f, 118924.01f, 119060.47f, - 119194.625f, 119326.555f, 119456.336f, 119584.03f, 119709.71f, 119833.445f, 119955.29f, - 120075.31f, 120193.555f, 120310.08f, 120424.94f, 120538.17f, 120649.836f, 120759.97f, - 120868.62f, 120975.82f, 121081.62f, 121186.05f, 121289.14f, 121390.94f, 121491.47f, - 121590.766f, 121688.87f, 121785.79f, 121881.57f, 121976.24f, 122069.82f, 122162.33f, - 122253.805f, 122344.266f, 122433.73f, 122522.23f, 122609.77f, 122696.4f, 122782.11f, - 122866.93f, 122950.89f, 123033.99f, 123116.26f, 123197.72f, 123278.37f, 123358.24f, - 123437.34f, 123515.69f, 123593.3f, 123670.19f, 123746.36f, 123821.84f, 123896.63f, - 123970.76f, 124044.23f, 124117.04f, 124189.23f, 124260.78f, 124331.73f, 124402.07f, - 124471.83f, 124540.99f, 124609.59f, 124677.63f, 124745.12f, 124812.055f, 124878.47f, - 124944.34f, 125009.71f, 125074.57f, 125138.92f, 125202.79f, 125266.164f, 125329.06f, - 125391.5f, 125453.47f -}; - -// gVolRampingRhs128[k] = 1 / max(1, (256*k)^(1/16)) -f32 gVolRampingRhs128[128] = { - 1.0f, 0.707107f, 0.677128f, 0.660184f, 0.64842f, 0.639439f, 0.632194f, 0.626133f, 0.620929f, - 0.616375f, 0.612329f, 0.608693f, 0.605391f, 0.60237f, 0.599587f, 0.597007f, 0.594604f, 0.592355f, - 0.590243f, 0.588251f, 0.586369f, 0.584583f, 0.582886f, 0.581269f, 0.579725f, 0.578247f, 0.576832f, - 0.575473f, 0.574166f, 0.572908f, 0.571696f, 0.570525f, 0.569394f, 0.5683f, 0.567241f, 0.566214f, - 0.565218f, 0.564251f, 0.563311f, 0.562398f, 0.561508f, 0.560642f, 0.559799f, 0.558976f, 0.558173f, - 0.55739f, 0.556625f, 0.555877f, 0.555146f, 0.554431f, 0.553732f, 0.553047f, 0.552376f, 0.551719f, - 0.551075f, 0.550443f, 0.549823f, 0.549216f, 0.548619f, 0.548033f, 0.547458f, 0.546892f, 0.546337f, - 0.545791f, 0.545254f, 0.544726f, 0.544206f, 0.543695f, 0.543192f, 0.542696f, 0.542209f, 0.541728f, - 0.541255f, 0.540788f, 0.540329f, 0.539876f, 0.539429f, 0.538988f, 0.538554f, 0.538125f, 0.537702f, - 0.537285f, 0.536873f, 0.536467f, 0.536065f, 0.535669f, 0.535277f, 0.534891f, 0.534509f, 0.534131f, - 0.533759f, 0.53339f, 0.533026f, 0.532666f, 0.53231f, 0.531958f, 0.53161f, 0.531266f, 0.530925f, - 0.530588f, 0.530255f, 0.529926f, 0.529599f, 0.529277f, 0.528957f, 0.528641f, 0.528328f, 0.528018f, - 0.527711f, 0.527407f, 0.527106f, 0.526808f, 0.526513f, 0.52622f, 0.525931f, 0.525644f, 0.525359f, - 0.525077f, 0.524798f, 0.524522f, 0.524247f, 0.523975f, 0.523706f, 0.523439f, 0.523174f, 0.522911f, - 0.522651f, 0.522393f -}; +#include "volramping.c.in" #endif #ifdef VERSION_SH diff --git a/src/audio/data.h b/src/audio/data.h index 03d720b5..5a60baac 100644 --- a/src/audio/data.h +++ b/src/audio/data.h @@ -22,6 +22,10 @@ #endif #ifdef EXPAND_AUDIO_HEAP +// Vanilla US/JP uses 7; Vanilla EU opts for 10 here effectively, though that one gets generated at runtime and doesn't use this value. +// Total memory usage is calculated by 24*(2^VOL_RAMPING_EXPONENT) bytes. This is not technically on the heap, but it's memory nonetheless. +#define VOL_RAMPING_EXPONENT 9 + #define PERSISTENT_SEQ_MEM 0x8200 #define PERSISTENT_BANK_MEM 0xDC00 #define TEMPORARY_SEQ_MEM 0xE800 @@ -29,6 +33,8 @@ #define MAX_NUM_SOUNDBANKS 0x100 #define EXT_AUDIO_INIT_POOL_SIZE 0x2000 #else +#define VOL_RAMPING_EXPONENT 7 + #define PERSISTENT_SEQ_MEM 0x4100 #define PERSISTENT_BANK_MEM 0x6E00 #define TEMPORARY_SEQ_MEM 0x7400 @@ -87,12 +93,12 @@ extern f32 gHeadsetPanVolume[128]; extern f32 gStereoPanVolume[128]; extern f32 gDefaultPanVolume[128]; -extern f32 gVolRampingLhs136[128]; -extern f32 gVolRampingRhs136[128]; -extern f32 gVolRampingLhs144[128]; -extern f32 gVolRampingRhs144[128]; -extern f32 gVolRampingLhs128[128]; -extern f32 gVolRampingRhs128[128]; +extern f32 gVolRampingLhs136[1 << VOL_RAMPING_EXPONENT]; +extern f32 gVolRampingRhs136[1 << VOL_RAMPING_EXPONENT]; +extern f32 gVolRampingLhs144[1 << VOL_RAMPING_EXPONENT]; +extern f32 gVolRampingRhs144[1 << VOL_RAMPING_EXPONENT]; +extern f32 gVolRampingLhs128[1 << VOL_RAMPING_EXPONENT]; +extern f32 gVolRampingRhs128[1 << VOL_RAMPING_EXPONENT]; // non-constant .data extern s16 gTatumsPerBeat; diff --git a/src/audio/synthesis.c b/src/audio/synthesis.c index 7e946e37..ef798d1c 100644 --- a/src/audio/synthesis.c +++ b/src/audio/synthesis.c @@ -38,6 +38,9 @@ aSetBuffer(pkt, 0, 0, c + DMEM_ADDR_WET_RIGHT_CH, d); \ aSaveBuffer(pkt, VIRTUAL_TO_PHYSICAL2(gSynthesisReverb.ringBuffer.right + (off))); +#define VOLRAMPING_MASK (~(0x8000 | ((1 << (15 - VOL_RAMPING_EXPONENT)) - 1))) + + #ifdef BETTER_REVERB // Do not touch these values manually, unless you want potential for problems. u8 gBetterReverbPreset = 0; @@ -1450,17 +1453,17 @@ u64 *process_envelope(u64 *cmd, struct NoteSubEu *note, struct NoteSynthesisStat // but with discretizations of targetVol, sourceVol and arg2. switch (nSamples) { case 128: - rampLeft = gVolRampingLhs128[vol->targetLeft >> 8] * gVolRampingRhs128[vol->sourceLeft >> 8]; - rampRight = gVolRampingLhs128[vol->targetRight >> 8] * gVolRampingRhs128[vol->sourceRight >> 8]; + rampLeft = gVolRampingLhs128[vol->targetLeft >> (15 - VOL_RAMPING_EXPONENT)] * gVolRampingRhs128[vol->sourceLeft >> (15 - VOL_RAMPING_EXPONENT)]; + rampRight = gVolRampingLhs128[vol->targetRight >> (15 - VOL_RAMPING_EXPONENT)] * gVolRampingRhs128[vol->sourceRight >> (15 - VOL_RAMPING_EXPONENT)]; break; case 144: - rampLeft = gVolRampingLhs144[vol->targetLeft >> 8] * gVolRampingRhs144[vol->sourceLeft >> 8]; - rampRight = gVolRampingLhs144[vol->targetRight >> 8] * gVolRampingRhs144[vol->sourceRight >> 8]; + rampLeft = gVolRampingLhs144[vol->targetLeft >> (15 - VOL_RAMPING_EXPONENT)] * gVolRampingRhs144[vol->sourceLeft >> (15 - VOL_RAMPING_EXPONENT)]; + rampRight = gVolRampingLhs144[vol->targetRight >> (15 - VOL_RAMPING_EXPONENT)] * gVolRampingRhs144[vol->sourceRight >> (15 - VOL_RAMPING_EXPONENT)]; break; case 136: default: - rampLeft = gVolRampingLhs136[vol->targetLeft >> 8] * gVolRampingRhs136[vol->sourceLeft >> 8]; - rampRight = gVolRampingLhs136[vol->targetRight >> 8] * gVolRampingRhs136[vol->sourceRight >> 8]; + rampLeft = gVolRampingLhs136[vol->targetLeft >> (15 - VOL_RAMPING_EXPONENT)] * gVolRampingRhs136[vol->sourceLeft >> (15 - VOL_RAMPING_EXPONENT)]; + rampRight = gVolRampingLhs136[vol->targetRight >> (15 - VOL_RAMPING_EXPONENT)] * gVolRampingRhs136[vol->sourceRight >> (15 - VOL_RAMPING_EXPONENT)]; break; } #endif @@ -1673,8 +1676,8 @@ void note_set_vel_pan_reverb(struct Note *note, f32 velocity, f32 pan, u8 reverb if (velocity < 0) { velocity = 0; } - note->targetVolLeft = (u16)(s32)(velocity * volLeft) & ~0x80FF; - note->targetVolRight = (u16)(s32)(velocity * volRight) & ~0x80FF; + note->targetVolLeft = (u16)(s32)(velocity * volLeft) & VOLRAMPING_MASK; + note->targetVolRight = (u16)(s32)(velocity * volRight) & VOLRAMPING_MASK; if (note->targetVolLeft == 0) { note->targetVolLeft++; } diff --git a/src/audio/volramping.c.in b/src/audio/volramping.c.in new file mode 100644 index 00000000..6432f914 --- /dev/null +++ b/src/audio/volramping.c.in @@ -0,0 +1,6287 @@ +#if defined(VERSION_JP) || defined(VERSION_US) + +#if (VOL_RAMPING_EXPONENT == 6) + +// gVolRampingLhs136[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17) +f32 gVolRampingLhs136[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 94590.765625f, 98527.2578125f, 100905.46875f, 102627.5703125f, 103983.546875f, 105104.75f, 106062.140625f, + 106898.5234375f, 107641.7265625f, 108310.9296875f, 108919.875f, 109478.796875f, 109995.4765625f, 110476.0234375f, 110925.296875f, + 111347.2109375f, 111745.0f, 112121.3515625f, 112478.5078125f, 112818.3984375f, 113142.65625f, 113452.6875f, 113749.734375f, + 114034.8671875f, 114309.0234375f, 114573.0546875f, 114827.6875f, 115073.6015625f, 115311.375f, 115541.5625f, 115764.6328125f, + 115981.0390625f, 116191.1640625f, 116395.3828125f, 116594.0234375f, 116787.390625f, 116975.7734375f, 117159.4140625f, 117338.5703125f, + 117513.453125f, 117684.265625f, 117851.1953125f, 118014.4375f, 118174.140625f, 118330.4609375f, 118483.546875f, 118633.53125f, + 118780.5390625f, 118924.6953125f, 119066.109375f, 119204.8828125f, 119341.125f, 119474.921875f, 119606.359375f, 119735.5234375f, + 119862.5f, 119987.359375f, 120110.1796875f, 120231.015625f, 120349.9453125f, 120467.015625f, 120582.296875f, 120695.84375f +}; + +// gVolRampingRhs136[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17)) +f32 gVolRampingRhs136[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.692837178707122802734375f, 0.66515600681304931640625f, 0.6494791507720947265625f, 0.638580858707427978515625f, 0.6302535533905029296875f, 0.623530328273773193359375f, 0.61790192127227783203125f, + 0.613067448139190673828125f, 0.6088345050811767578125f, 0.60507285594940185546875f, 0.601689994335174560546875f, 0.598618209362030029296875f, 0.595806300640106201171875f, 0.593214690685272216796875f, 0.590812027454376220703125f, + 0.58857333660125732421875f, 0.58647811412811279296875f, 0.584509551525115966796875f, 0.582653522491455078125f, 0.58089816570281982421875f, 0.579233348369598388671875f, 0.577650487422943115234375f, 0.576142013072967529296875f, + 0.57470142841339111328125f, 0.573323071002960205078125f, 0.572001874446868896484375f, 0.57073342800140380859375f, 0.569513797760009765625f, 0.568339407444000244140625f, 0.567207157611846923828125f, 0.5661141872406005859375f, + 0.56505787372589111328125f, 0.56403601169586181640625f, 0.563046395778656005859375f, 0.562087118625640869140625f, 0.561156451702117919921875f, 0.56025278568267822265625f, 0.5593745708465576171875f, 0.5585205554962158203125f, + 0.557689368724822998046875f, 0.55687987804412841796875f, 0.5560910701751708984375f, 0.555321872234344482421875f, 0.554571449756622314453125f, 0.553838789463043212890625f, 0.5531232357025146484375f, 0.552423954010009765625f, + 0.551740229129791259765625f, 0.5510714054107666015625f, 0.550416886806488037109375f, 0.549776136875152587890625f, 0.549148499965667724609375f, 0.54853355884552001953125f, 0.54793071746826171875f, 0.547339618206024169921875f, + 0.5467598438262939453125f, 0.54619085788726806640625f, 0.54563236236572265625f, 0.5450839996337890625f, 0.544545352458953857421875f, 0.5440161228179931640625f, 0.54349601268768310546875f, 0.5429847240447998046875f +}; + +// gVolRampingLhs144[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingLhs144[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 92681.8984375f, 96320.5234375f, 98514.84375f, 100101.9921875f, 101350.6640625f, 102382.4609375f, 103263.015625f, + 104031.9140625f, 104714.8828125f, 105329.609375f, 105888.8125f, 106401.9140625f, 106876.1171875f, 107317.046875f, 107729.171875f, + 108116.125f, 108480.8828125f, 108825.90625f, 109153.28125f, 109464.7734375f, 109761.8828125f, 110045.921875f, 110318.0234375f, + 110579.171875f, 110830.234375f, 111071.9921875f, 111305.1171875f, 111530.2265625f, 111747.875f, 111958.5390625f, 112162.671875f, + 112360.6796875f, 112552.9296875f, 112739.7578125f, 112921.4609375f, 113098.328125f, 113270.609375f, 113438.5546875f, 113602.375f, + 113762.2734375f, 113918.4375f, 114071.0546875f, 114220.265625f, 114366.2421875f, 114509.1171875f, 114649.0234375f, 114786.0859375f, + 114920.421875f, 115052.140625f, 115181.34375f, 115308.1328125f, 115432.59375f, 115554.8125f, 115674.875f, 115792.8515625f, + 115908.8203125f, 116022.8515625f, 116135.0078125f, 116245.3515625f, 116353.9453125f, 116460.84375f, 116566.09375f, 116669.7578125f +}; + +// gVolRampingRhs144[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingRhs144[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.707106769084930419921875f, 0.68039500713348388671875f, 0.665239870548248291015625f, 0.65469229221343994140625f, 0.6466262340545654296875f, 0.64010965824127197265625f, 0.63465118408203125f, + 0.629960536956787109375f, 0.625851809978485107421875f, 0.62219917774200439453125f, 0.618913352489471435546875f, 0.61592876911163330078125f, 0.613195896148681640625f, 0.6106765270233154296875f, 0.608340322971343994140625f, + 0.60616302490234375f, 0.60412490367889404296875f, 0.602209568023681640625f, 0.600403368473052978515625f, 0.59869492053985595703125f, 0.5970742702484130859375f, 0.595533192157745361328125f, 0.594064295291900634765625f, + 0.592661321163177490234375f, 0.591318786144256591796875f, 0.59003174304962158203125f, 0.5887959003448486328125f, 0.58760750293731689453125f, 0.58646309375762939453125f, 0.5853595733642578125f, 0.58429419994354248046875f, + 0.583264529705047607421875f, 0.582268238067626953125f, 0.5813033580780029296875f, 0.580367982387542724609375f, 0.5794603824615478515625f, 0.578579008579254150390625f, 0.57772243022918701171875f, 0.576889336109161376953125f, + 0.576078474521636962890625f, 0.5752887725830078125f, 0.574519097805023193359375f, 0.573768556118011474609375f, 0.57303619384765625f, 0.572321236133575439453125f, 0.5716228485107421875f, 0.5709402561187744140625f, + 0.570272862911224365234375f, 0.56962001323699951171875f, 0.568980991840362548828125f, 0.568355381488800048828125f, 0.5677425861358642578125f, 0.56714212894439697265625f, 0.56655347347259521484375f, 0.565976202487945556640625f, + 0.565409958362579345703125f, 0.56485426425933837890625f, 0.56430876255035400390625f, 0.563773095607757568359375f, 0.563246905803680419921875f, 0.56272995471954345703125f, 0.562221825122833251953125f, 0.561722278594970703125f +}; + +// gVolRampingLhs128[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/16)) +f32 gVolRampingLhs128[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 96785.28125f, 101070.328125f, 103664.3359375f, 105545.09375f, 107027.390625f, 108253.953125f, 109301.953125f, + 110217.9765625f, 111032.328125f, 111765.8984375f, 112433.65625f, 113046.765625f, 113613.71875f, 114141.1640625f, 114634.4140625f, + 115097.7421875f, 115534.6796875f, 115948.15625f, 116340.625f, 116714.1953125f, 117070.640625f, 117411.5234375f, 117738.171875f, + 118051.7734375f, 118353.3515625f, 118643.828125f, 118924.0078125f, 119194.625f, 119456.3359375f, 119709.7109375f, 119955.2890625f, + 120193.5546875f, 120424.9375f, 120649.8359375f, 120868.6171875f, 121081.6171875f, 121289.140625f, 121491.46875f, 121688.8671875f, + 121881.5703125f, 122069.8203125f, 122253.8046875f, 122433.7265625f, 122609.7734375f, 122782.109375f, 122950.890625f, 123116.2578125f, + 123278.3671875f, 123437.34375f, 123593.296875f, 123746.359375f, 123896.6328125f, 124044.2265625f, 124189.2265625f, 124331.7265625f, + 124471.828125f, 124609.59375f, 124745.1171875f, 124878.46875f, 125009.7109375f, 125138.921875f, 125266.1640625f, 125391.5f +}; + +// gVolRampingRhs128[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/16)) +f32 gVolRampingRhs128[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.677127778530120849609375f, 0.648419797420501708984375f, 0.6321942806243896484375f, 0.62092888355255126953125f, 0.6123292446136474609375f, 0.605391323566436767578125f, 0.5995867252349853515625f, + 0.59460353851318359375f, 0.59024250507354736328125f, 0.586368501186370849609375f, 0.582885921001434326171875f, 0.57972466945648193359375f, 0.576831758022308349609375f, 0.57416617870330810546875f, 0.57169568538665771484375f, + 0.569394290447235107421875f, 0.5672409534454345703125f, 0.565218150615692138671875f, 0.563311398029327392578125f, 0.5615084171295166015625f, 0.559798717498779296875f, 0.558173477649688720703125f, 0.556624889373779296875f, + 0.555146276950836181640625f, 0.5537316799163818359375f, 0.552375972270965576171875f, 0.55107462406158447265625f, 0.549823462963104248046875f, 0.54861891269683837890625f, 0.54745769500732421875f, 0.5463368892669677734375f, + 0.54525387287139892578125f, 0.544206202030181884765625f, 0.54319179058074951171875f, 0.54220855236053466796875f, 0.5412547588348388671875f, 0.540328681468963623046875f, 0.53942883014678955078125f, 0.538553774356842041015625f, + 0.537702262401580810546875f, 0.5368731021881103515625f, 0.53606510162353515625f, 0.535277307033538818359375f, 0.534508764743804931640625f, 0.53375852108001708984375f, 0.53302586078643798828125f, 0.53230988979339599609375f, + 0.53160989284515380859375f, 0.530925214290618896484375f, 0.530255258083343505859375f, 0.5295994281768798828125f, 0.528957068920135498046875f, 0.5283277034759521484375f, 0.527710855007171630859375f, 0.527105987071990966796875f, + 0.52651274204254150390625f, 0.525930583477020263671875f, 0.52535927295684814453125f, 0.52479827404022216796875f, 0.52424728870391845703125f, 0.523705959320068359375f, 0.523173987865447998046875f, 0.52265107631683349609375f +}; + +#elif (VOL_RAMPING_EXPONENT == 7) // US/JP Vanilla + +// gVolRampingLhs136[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17) +f32 gVolRampingLhs136[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 90811.5546875f, 94590.765625f, 96873.9609375f, 98527.2578125f, 99829.0625f, 100905.46875f, 101824.609375f, + 102627.5703125f, 103341.0859375f, 103983.546875f, 104568.1640625f, 105104.75f, 105600.796875f, 106062.140625f, 106493.4609375f, + 106898.5234375f, 107280.4140625f, 107641.7265625f, 107984.6171875f, 108310.9296875f, 108622.2265625f, 108919.875f, 109205.0546875f, + 109478.796875f, 109742.0f, 109995.4765625f, 110239.9375f, 110476.0234375f, 110704.3046875f, 110925.296875f, 111139.453125f, + 111347.2109375f, 111548.9453125f, 111745.0f, 111935.703125f, 112121.3515625f, 112302.203125f, 112478.5078125f, 112650.5078125f, + 112818.3984375f, 112982.3828125f, 113142.65625f, 113299.3671875f, 113452.6875f, 113602.765625f, 113749.734375f, 113893.7265625f, + 114034.8671875f, 114173.2578125f, 114309.0234375f, 114442.2578125f, 114573.0546875f, 114701.5f, 114827.6875f, 114951.6953125f, + 115073.6015625f, 115193.46875f, 115311.375f, 115427.390625f, 115541.5625f, 115653.9609375f, 115764.6328125f, 115873.640625f, + 115981.0390625f, 116086.859375f, 116191.1640625f, 116293.9921875f, 116395.3828125f, 116495.3828125f, 116594.0234375f, 116691.34375f, + 116787.390625f, 116882.1875f, 116975.7734375f, 117068.171875f, 117159.4140625f, 117249.5390625f, 117338.5703125f, 117426.53125f, + 117513.453125f, 117599.3515625f, 117684.265625f, 117768.203125f, 117851.1953125f, 117933.265625f, 118014.4375f, 118094.71875f, + 118174.140625f, 118252.7109375f, 118330.4609375f, 118407.3984375f, 118483.546875f, 118558.9140625f, 118633.53125f, 118707.3984375f, + 118780.5390625f, 118852.96875f, 118924.6953125f, 118995.7421875f, 119066.109375f, 119135.8203125f, 119204.8828125f, 119273.3125f, + 119341.125f, 119408.3203125f, 119474.921875f, 119540.9296875f, 119606.359375f, 119671.21875f, 119735.5234375f, 119799.28125f, + 119862.5f, 119925.1953125f, 119987.359375f, 120049.0234375f, 120110.1796875f, 120170.84375f, 120231.015625f, 120290.7109375f, + 120349.9453125f, 120408.703125f, 120467.015625f, 120524.875f, 120582.296875f, 120639.28125f, 120695.84375f, 120751.984375f +}; + +// gVolRampingRhs136[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17)) +f32 gVolRampingRhs136[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.72167026996612548828125f, 0.692837178707122802734375f, 0.676507890224456787109375f, 0.66515600681304931640625f, 0.656482160091400146484375f, 0.6494791507720947265625f, 0.643616497516632080078125f, + 0.638580858707427978515625f, 0.634171783924102783203125f, 0.6302535533905029296875f, 0.626729905605316162109375f, 0.623530328273773193359375f, 0.6206014156341552734375f, 0.61790192127227783203125f, 0.615399301052093505859375f, + 0.613067448139190673828125f, 0.61088502407073974609375f, 0.6088345050811767578125f, 0.606901228427886962890625f, 0.60507285594940185546875f, 0.603338778018951416015625f, 0.601689994335174560546875f, 0.60011875629425048828125f, + 0.598618209362030029296875f, 0.5971825122833251953125f, 0.595806300640106201171875f, 0.594485104084014892578125f, 0.593214690685272216796875f, 0.591991424560546875f, 0.590812027454376220703125f, 0.589673578739166259765625f, + 0.58857333660125732421875f, 0.5875089168548583984375f, 0.58647811412811279296875f, 0.585478961467742919921875f, 0.584509551525115966796875f, 0.583568274974822998046875f, 0.582653522491455078125f, 0.581763923168182373046875f, + 0.58089816570281982421875f, 0.5800549983978271484375f, 0.579233348369598388671875f, 0.57843220233917236328125f, 0.577650487422943115234375f, 0.5768873691558837890625f, 0.576142013072967529296875f, 0.57541358470916748046875f, + 0.57470142841339111328125f, 0.574004828929901123046875f, 0.573323071002960205078125f, 0.572655618190765380859375f, 0.572001874446868896484375f, 0.5713613033294677734375f, 0.57073342800140380859375f, 0.5701177120208740234375f, + 0.569513797760009765625f, 0.568921148777008056640625f, 0.568339407444000244140625f, 0.56776821613311767578125f, 0.567207157611846923828125f, 0.566655933856964111328125f, 0.5661141872406005859375f, 0.5655815601348876953125f, + 0.56505787372589111328125f, 0.5645427703857421875f, 0.56403601169586181640625f, 0.563537299633026123046875f, 0.563046395778656005859375f, 0.56256306171417236328125f, 0.562087118625640869140625f, 0.561618328094482421875f, + 0.561156451702117919921875f, 0.5607013702392578125f, 0.56025278568267822265625f, 0.559810578823089599609375f, 0.5593745708465576171875f, 0.558944642543792724609375f, 0.5585205554962158203125f, 0.558102130889892578125f, + 0.557689368724822998046875f, 0.557281970977783203125f, 0.55687987804412841796875f, 0.556482970714569091796875f, 0.5560910701751708984375f, 0.5557041168212890625f, 0.555321872234344482421875f, 0.55494439601898193359375f, + 0.554571449756622314453125f, 0.55420291423797607421875f, 0.553838789463043212890625f, 0.5534789562225341796875f, 0.5531232357025146484375f, 0.55277156829833984375f, 0.552423954010009765625f, 0.5520801544189453125f, + 0.551740229129791259765625f, 0.55140399932861328125f, 0.5510714054107666015625f, 0.5507423877716064453125f, 0.550416886806488037109375f, 0.5500948429107666015625f, 0.549776136875152587890625f, 0.549460709095001220703125f, + 0.549148499965667724609375f, 0.54883944988250732421875f, 0.54853355884552001953125f, 0.548230648040771484375f, 0.54793071746826171875f, 0.54763376712799072265625f, 0.547339618206024169921875f, 0.5470483303070068359375f, + 0.5467598438262939453125f, 0.546473979949951171875f, 0.54619085788726806640625f, 0.545910298824310302734375f, 0.54563236236572265625f, 0.545356929302215576171875f, 0.5450839996337890625f, 0.544813454151153564453125f, + 0.544545352458953857421875f, 0.544279575347900390625f, 0.5440161228179931640625f, 0.54375493526458740234375f, 0.54349601268768310546875f, 0.543239295482635498046875f, 0.5429847240447998046875f, 0.542732298374176025390625f +}; + +// gVolRampingLhs144[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingLhs144[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 89180.734375f, 92681.8984375f, 94793.328125f, 96320.5234375f, 97522.0234375f, 98514.84375f, 99362.140625f, + 100101.9921875f, 100759.15625f, 101350.6640625f, 101888.7421875f, 102382.4609375f, 102838.75f, 103263.015625f, 103659.578125f, + 104031.9140625f, 104382.890625f, 104714.8828125f, 105029.890625f, 105329.609375f, 105615.5f, 105888.8125f, 106150.6328125f, + 106401.9140625f, 106643.4921875f, 106876.1171875f, 107100.4375f, 107317.046875f, 107526.46875f, 107729.171875f, 107925.6015625f, + 108116.125f, 108301.1171875f, 108480.8828125f, 108655.71875f, 108825.90625f, 108991.6796875f, 109153.28125f, 109310.9140625f, + 109464.7734375f, 109615.0390625f, 109761.8828125f, 109905.4609375f, 110045.921875f, 110183.40625f, 110318.0234375f, 110449.90625f, + 110579.171875f, 110705.9140625f, 110830.234375f, 110952.234375f, 111071.9921875f, 111189.59375f, 111305.1171875f, 111418.640625f, + 111530.2265625f, 111639.953125f, 111747.875f, 111854.046875f, 111958.5390625f, 112061.3984375f, 112162.671875f, 112262.421875f, + 112360.6796875f, 112457.5078125f, 112552.9296875f, 112647.0f, 112739.7578125f, 112831.2265625f, 112921.4609375f, 113010.484375f, + 113098.328125f, 113185.0234375f, 113270.609375f, 113355.109375f, 113438.5546875f, 113520.96875f, 113602.375f, 113682.8046875f, + 113762.2734375f, 113840.8125f, 113918.4375f, 113995.1796875f, 114071.0546875f, 114146.078125f, 114220.265625f, 114293.6484375f, + 114366.2421875f, 114438.0625f, 114509.1171875f, 114579.4375f, 114649.0234375f, 114717.90625f, 114786.0859375f, 114853.5859375f, + 114920.421875f, 114986.6015625f, 115052.140625f, 115117.0546875f, 115181.34375f, 115245.0390625f, 115308.1328125f, 115370.6484375f, + 115432.59375f, 115493.9765625f, 115554.8125f, 115615.109375f, 115674.875f, 115734.1171875f, 115792.8515625f, 115851.078125f, + 115908.8203125f, 115966.0703125f, 116022.8515625f, 116079.15625f, 116135.0078125f, 116190.3984375f, 116245.3515625f, 116299.8671875f, + 116353.9453125f, 116407.6015625f, 116460.84375f, 116513.671875f, 116566.09375f, 116618.125f, 116669.7578125f, 116721.0078125f +}; + +// gVolRampingRhs144[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingRhs144[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.734867274761199951171875f, 0.707106769084930419921875f, 0.691356658935546875f, 0.68039500713348388671875f, 0.6720123291015625f, 0.665239870548248291015625f, 0.6595671176910400390625f, + 0.65469229221343994140625f, 0.650422275066375732421875f, 0.6466262340545654296875f, 0.643211424350738525390625f, 0.64010965824127197265625f, 0.637269496917724609375f, 0.63465118408203125f, 0.632223308086395263671875f, + 0.629960536956787109375f, 0.627842366695404052734375f, 0.625851809978485107421875f, 0.623974740505218505859375f, 0.62219917774200439453125f, 0.62051498889923095703125f, 0.618913352489471435546875f, 0.61738681793212890625f, + 0.61592876911163330078125f, 0.614533483982086181640625f, 0.613195896148681640625f, 0.611911594867706298828125f, 0.6106765270233154296875f, 0.60948717594146728515625f, 0.608340322971343994140625f, 0.60723316669464111328125f, + 0.60616302490234375f, 0.605127632617950439453125f, 0.60412490367889404296875f, 0.603152751922607421875f, 0.602209568023681640625f, 0.6012935638427734375f, 0.600403368473052978515625f, 0.5995376110076904296875f, + 0.59869492053985595703125f, 0.597874164581298828125f, 0.5970742702484130859375f, 0.59629428386688232421875f, 0.595533192157745361328125f, 0.59479010105133056640625f, 0.594064295291900634765625f, 0.5933549404144287109375f, + 0.592661321163177490234375f, 0.59198284149169921875f, 0.591318786144256591796875f, 0.590668618679046630859375f, 0.59003174304962158203125f, 0.5894076824188232421875f, 0.5887959003448486328125f, 0.5881960391998291015625f, + 0.58760750293731689453125f, 0.587029993534088134765625f, 0.58646309375762939453125f, 0.58590638637542724609375f, 0.5853595733642578125f, 0.584822237491607666015625f, 0.58429419994354248046875f, 0.583775043487548828125f, + 0.583264529705047607421875f, 0.58276236057281494140625f, 0.582268238067626953125f, 0.581782042980194091796875f, 0.5813033580780029296875f, 0.58083212375640869140625f, 0.580367982387542724609375f, 0.579910814762115478515625f, + 0.5794603824615478515625f, 0.579016506671905517578125f, 0.578579008579254150390625f, 0.578147709369659423828125f, 0.57772243022918701171875f, 0.57730305194854736328125f, 0.576889336109161376953125f, 0.57648122310638427734375f, + 0.576078474521636962890625f, 0.57568109035491943359375f, 0.5752887725830078125f, 0.574901521205902099609375f, 0.574519097805023193359375f, 0.57414150238037109375f, 0.573768556118011474609375f, 0.573400199413299560546875f, + 0.57303619384765625f, 0.572676599025726318359375f, 0.572321236133575439453125f, 0.5719699859619140625f, 0.5716228485107421875f, 0.571279585361480712890625f, 0.5709402561187744140625f, 0.570604741573333740234375f, + 0.570272862911224365234375f, 0.569944679737091064453125f, 0.56962001323699951171875f, 0.569298803806304931640625f, 0.568980991840362548828125f, 0.56866657733917236328125f, 0.568355381488800048828125f, 0.56804740428924560546875f, + 0.5677425861358642578125f, 0.56744086742401123046875f, 0.56714212894439697265625f, 0.566846370697021484375f, 0.56655347347259521484375f, 0.5662634372711181640625f, 0.565976202487945556640625f, 0.5656917095184326171875f, + 0.565409958362579345703125f, 0.56513082981109619140625f, 0.56485426425933837890625f, 0.564580261707305908203125f, 0.56430876255035400390625f, 0.564039707183837890625f, 0.563773095607757568359375f, 0.563508808612823486328125f, + 0.563246905803680419921875f, 0.562987267971038818359375f, 0.56272995471954345703125f, 0.562474787235260009765625f, 0.562221825122833251953125f, 0.561971008777618408203125f, 0.561722278594970703125f, 0.56147563457489013671875f +}; + +// gVolRampingLhs128[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/16)) +f32 gVolRampingLhs128[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 92681.8984375f, 96785.28125f, 99269.3125f, 101070.328125f, 102489.78125f, 103664.3359375f, 104667.9140625f, + 105545.09375f, 106324.921875f, 107027.390625f, 107666.84375f, 108253.953125f, 108796.8671875f, 109301.953125f, 109774.2890625f, + 110217.9765625f, 110636.390625f, 111032.328125f, 111408.1640625f, 111765.8984375f, 112107.234375f, 112433.65625f, 112746.4609375f, + 113046.765625f, 113335.5546875f, 113613.71875f, 113882.0234375f, 114141.1640625f, 114391.7734375f, 114634.4140625f, 114869.578125f, + 115097.7421875f, 115319.3125f, 115534.6796875f, 115744.1875f, 115948.15625f, 116146.875f, 116340.625f, 116529.65625f, + 116714.1953125f, 116894.4609375f, 117070.640625f, 117242.9453125f, 117411.5234375f, 117576.546875f, 117738.171875f, 117896.5390625f, + 118051.7734375f, 118204.0f, 118353.3515625f, 118499.921875f, 118643.828125f, 118785.15625f, 118924.0078125f, 119060.46875f, + 119194.625f, 119326.5546875f, 119456.3359375f, 119584.03125f, 119709.7109375f, 119833.4453125f, 119955.2890625f, 120075.3125f, + 120193.5546875f, 120310.078125f, 120424.9375f, 120538.171875f, 120649.8359375f, 120759.96875f, 120868.6171875f, 120975.8203125f, + 121081.6171875f, 121186.046875f, 121289.140625f, 121390.9375f, 121491.46875f, 121590.765625f, 121688.8671875f, 121785.7890625f, + 121881.5703125f, 121976.2421875f, 122069.8203125f, 122162.328125f, 122253.8046875f, 122344.265625f, 122433.7265625f, 122522.2265625f, + 122609.7734375f, 122696.3984375f, 122782.109375f, 122866.9296875f, 122950.890625f, 123033.9921875f, 123116.2578125f, 123197.71875f, + 123278.3671875f, 123358.2421875f, 123437.34375f, 123515.6875f, 123593.296875f, 123670.1875f, 123746.359375f, 123821.84375f, + 123896.6328125f, 123970.7578125f, 124044.2265625f, 124117.0390625f, 124189.2265625f, 124260.78125f, 124331.7265625f, 124402.0703125f, + 124471.828125f, 124540.9921875f, 124609.59375f, 124677.6328125f, 124745.1171875f, 124812.0546875f, 124878.46875f, 124944.34375f, + 125009.7109375f, 125074.5703125f, 125138.921875f, 125202.7890625f, 125266.1640625f, 125329.0625f, 125391.5f, 125453.46875f +}; + +// gVolRampingRhs128[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/16)) +f32 gVolRampingRhs128[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.707106769084930419921875f, 0.677127778530120849609375f, 0.66018390655517578125f, 0.648419797420501708984375f, 0.639439404010772705078125f, 0.6321942806243896484375f, 0.626132667064666748046875f, + 0.62092888355255126953125f, 0.6163747310638427734375f, 0.6123292446136474609375f, 0.60869252681732177734375f, 0.605391323566436767578125f, 0.60237026214599609375f, 0.5995867252349853515625f, 0.597006857395172119140625f, + 0.59460353851318359375f, 0.592354834079742431640625f, 0.59024250507354736328125f, 0.588251292705535888671875f, 0.586368501186370849609375f, 0.58458316326141357421875f, 0.582885921001434326171875f, 0.581268787384033203125f, + 0.57972466945648193359375f, 0.578247487545013427734375f, 0.576831758022308349609375f, 0.575472772121429443359375f, 0.57416617870330810546875f, 0.572908341884613037109375f, 0.57169568538665771484375f, 0.57052528858184814453125f, + 0.569394290447235107421875f, 0.568300306797027587890625f, 0.5672409534454345703125f, 0.56621420383453369140625f, 0.565218150615692138671875f, 0.56425106525421142578125f, 0.563311398029327392578125f, 0.56239759922027587890625f, + 0.5615084171295166015625f, 0.5606424808502197265625f, 0.559798717498779296875f, 0.55897605419158935546875f, 0.558173477649688720703125f, 0.557390034198760986328125f, 0.556624889373779296875f, 0.555877208709716796875f, + 0.555146276950836181640625f, 0.55443131923675537109375f, 0.5537316799163818359375f, 0.553046762943267822265625f, 0.552375972270965576171875f, 0.551718771457672119140625f, 0.55107462406158447265625f, 0.550442993640899658203125f, + 0.549823462963104248046875f, 0.5492155551910400390625f, 0.54861891269683837890625f, 0.548033058643341064453125f, 0.54745769500732421875f, 0.5468924045562744140625f, 0.5463368892669677734375f, 0.54579079151153564453125f, + 0.54525387287139892578125f, 0.54472577571868896484375f, 0.544206202030181884765625f, 0.543694972991943359375f, 0.54319179058074951171875f, 0.542696416378021240234375f, 0.54220855236053466796875f, 0.541728079319000244140625f, + 0.5412547588348388671875f, 0.540788352489471435546875f, 0.540328681468963623046875f, 0.539875566959381103515625f, 0.53942883014678955078125f, 0.538988292217254638671875f, 0.538553774356842041015625f, 0.53812515735626220703125f, + 0.537702262401580810546875f, 0.53728497028350830078125f, 0.5368731021881103515625f, 0.536466538906097412109375f, 0.53606510162353515625f, 0.53566873073577880859375f, 0.535277307033538818359375f, 0.534890711307525634765625f, + 0.534508764743804931640625f, 0.53413140773773193359375f, 0.53375852108001708984375f, 0.533390045166015625f, 0.53302586078643798828125f, 0.532665789127349853515625f, 0.53230988979339599609375f, 0.531957924365997314453125f, + 0.53160989284515380859375f, 0.531265676021575927734375f, 0.530925214290618896484375f, 0.530588448047637939453125f, 0.530255258083343505859375f, 0.529925644397735595703125f, 0.5295994281768798828125f, 0.529276549816131591796875f, + 0.528957068920135498046875f, 0.528640806674957275390625f, 0.5283277034759521484375f, 0.5280177593231201171875f, 0.527710855007171630859375f, 0.5274069309234619140625f, 0.527105987071990966796875f, 0.526807963848114013671875f, + 0.52651274204254150390625f, 0.5262203216552734375f, 0.525930583477020263671875f, 0.5256435871124267578125f, 0.52535927295684814453125f, 0.52507746219635009765625f, 0.52479827404022216796875f, 0.524521529674530029296875f, + 0.52424728870391845703125f, 0.523975431919097900390625f, 0.523705959320068359375f, 0.52343881130218505859375f, 0.523173987865447998046875f, 0.52291142940521240234375f, 0.52265107631683349609375f, 0.522392928600311279296875f +}; + +#elif (VOL_RAMPING_EXPONENT == 8) + +// gVolRampingLhs136[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17) +f32 gVolRampingLhs136[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 87183.328125f, 90811.5546875f, 93003.5234375f, 94590.765625f, 95840.5625f, 96873.9609375f, 97756.3828125f, + 98527.2578125f, 99212.265625f, 99829.0625f, 100390.3203125f, 100905.46875f, 101381.6953125f, 101824.609375f, 102238.6953125f, + 102627.5703125f, 102994.2109375f, 103341.0859375f, 103670.2734375f, 103983.546875f, 104282.4140625f, 104568.1640625f, 104841.953125f, + 105104.75f, 105357.4453125f, 105600.796875f, 105835.4921875f, 106062.140625f, 106281.3046875f, 106493.4609375f, 106699.0625f, + 106898.5234375f, 107092.1953125f, 107280.4140625f, 107463.5f, 107641.7265625f, 107815.3515625f, 107984.6171875f, 108149.7421875f, + 108310.9296875f, 108468.3671875f, 108622.2265625f, 108772.6796875f, 108919.875f, 109063.9609375f, 109205.0546875f, 109343.296875f, + 109478.796875f, 109611.6640625f, 109742.0f, 109869.90625f, 109995.4765625f, 110118.796875f, 110239.9375f, 110358.9921875f, + 110476.0234375f, 110591.109375f, 110704.3046875f, 110815.6796875f, 110925.296875f, 111033.203125f, 111139.453125f, 111244.109375f, + 111347.2109375f, 111448.8046875f, 111548.9453125f, 111647.65625f, 111745.0f, 111841.0f, 111935.703125f, 112029.140625f, + 112121.3515625f, 112212.359375f, 112302.203125f, 112390.90625f, 112478.5078125f, 112565.03125f, 112650.5078125f, 112734.953125f, + 112818.3984375f, 112900.8671875f, 112982.3828125f, 113062.9765625f, 113142.65625f, 113221.4453125f, 113299.3671875f, 113376.4453125f, + 113452.6875f, 113528.125f, 113602.765625f, 113676.6328125f, 113749.734375f, 113822.09375f, 113893.7265625f, 113964.6484375f, + 114034.8671875f, 114104.3984375f, 114173.2578125f, 114241.46875f, 114309.0234375f, 114375.953125f, 114442.2578125f, 114507.953125f, + 114573.0546875f, 114637.5625f, 114701.5f, 114764.875f, 114827.6875f, 114889.9609375f, 114951.6953125f, 115012.90625f, + 115073.6015625f, 115133.78125f, 115193.46875f, 115252.6640625f, 115311.375f, 115369.6171875f, 115427.390625f, 115484.703125f, + 115541.5625f, 115597.9765625f, 115653.9609375f, 115709.5078125f, 115764.6328125f, 115819.34375f, 115873.640625f, 115927.5390625f, + 115981.0390625f, 116034.140625f, 116086.859375f, 116139.203125f, 116191.1640625f, 116242.7578125f, 116293.9921875f, 116344.859375f, + 116395.3828125f, 116445.5546875f, 116495.3828125f, 116544.8671875f, 116594.0234375f, 116642.84375f, 116691.34375f, 116739.53125f, + 116787.390625f, 116834.9453125f, 116882.1875f, 116929.125f, 116975.7734375f, 117022.1171875f, 117068.171875f, 117113.9375f, + 117159.4140625f, 117204.6171875f, 117249.5390625f, 117294.1875f, 117338.5703125f, 117382.6796875f, 117426.53125f, 117470.1171875f, + 117513.453125f, 117556.5234375f, 117599.3515625f, 117641.9296875f, 117684.265625f, 117726.3515625f, 117768.203125f, 117809.8203125f, + 117851.1953125f, 117892.3515625f, 117933.265625f, 117973.9609375f, 118014.4375f, 118054.6875f, 118094.71875f, 118134.53125f, + 118174.140625f, 118213.53125f, 118252.7109375f, 118291.6875f, 118330.4609375f, 118369.03125f, 118407.3984375f, 118445.5703125f, + 118483.546875f, 118521.328125f, 118558.9140625f, 118596.3125f, 118633.53125f, 118670.5546875f, 118707.3984375f, 118744.0625f, + 118780.5390625f, 118816.84375f, 118852.96875f, 118888.921875f, 118924.6953125f, 118960.3046875f, 118995.7421875f, 119031.0078125f, + 119066.109375f, 119101.046875f, 119135.8203125f, 119170.4296875f, 119204.8828125f, 119239.1796875f, 119273.3125f, 119307.296875f, + 119341.125f, 119374.796875f, 119408.3203125f, 119441.6953125f, 119474.921875f, 119508.0f, 119540.9296875f, 119573.7109375f, + 119606.359375f, 119638.859375f, 119671.21875f, 119703.4453125f, 119735.5234375f, 119767.4765625f, 119799.28125f, 119830.9609375f, + 119862.5f, 119893.9140625f, 119925.1953125f, 119956.34375f, 119987.359375f, 120018.2578125f, 120049.0234375f, 120079.6640625f, + 120110.1796875f, 120140.5703125f, 120170.84375f, 120200.984375f, 120231.015625f, 120260.921875f, 120290.7109375f, 120320.3828125f, + 120349.9453125f, 120379.3828125f, 120408.703125f, 120437.9140625f, 120467.015625f, 120496.0f, 120524.875f, 120553.640625f, + 120582.296875f, 120610.84375f, 120639.28125f, 120667.6171875f, 120695.84375f, 120723.9609375f, 120751.984375f, 120779.890625f +}; + +// gVolRampingRhs136[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17)) +f32 gVolRampingRhs136[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.751703321933746337890625f, 0.72167026996612548828125f, 0.704661428928375244140625f, 0.692837178707122802734375f, 0.6838023662567138671875f, 0.676507890224456787109375f, 0.670401275157928466796875f, + 0.66515600681304931640625f, 0.66056346893310546875f, 0.656482160091400146484375f, 0.652811944484710693359375f, 0.6494791507720947265625f, 0.6464283466339111328125f, 0.643616497516632080078125f, 0.641009747982025146484375f, + 0.638580858707427978515625f, 0.63630759716033935546875f, 0.634171783924102783203125f, 0.6321580410003662109375f, 0.6302535533905029296875f, 0.6284472942352294921875f, 0.626729905605316162109375f, 0.625093281269073486328125f, + 0.623530328273773193359375f, 0.622034847736358642578125f, 0.6206014156341552734375f, 0.61922514438629150390625f, 0.61790192127227783203125f, 0.616627752780914306640625f, 0.615399301052093505859375f, 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0.563046395778656005859375f, 0.562803804874420166015625f, 0.56256306171417236328125f, 0.562324225902557373046875f, 0.562087118625640869140625f, 0.56185185909271240234375f, 0.561618328094482421875f, 0.561386525630950927734375f, + 0.561156451702117919921875f, 0.560928046703338623046875f, 0.5607013702392578125f, 0.560476243495941162109375f, 0.56025278568267822265625f, 0.560030877590179443359375f, 0.559810578823089599609375f, 0.559591829776763916015625f, + 0.5593745708465576171875f, 0.559158861637115478515625f, 0.558944642543792724609375f, 0.558731853961944580078125f, 0.5585205554962158203125f, 0.55831062793731689453125f, 0.558102130889892578125f, 0.55789506435394287109375f, + 0.557689368724822998046875f, 0.55748498439788818359375f, 0.557281970977783203125f, 0.55708026885986328125f, 0.55687987804412841796875f, 0.55668079853057861328125f, 0.556482970714569091796875f, 0.556286394596099853515625f, + 0.5560910701751708984375f, 0.5558969974517822265625f, 0.5557041168212890625f, 0.55551242828369140625f, 0.555321872234344482421875f, 0.555132567882537841796875f, 0.55494439601898193359375f, 0.5547573566436767578125f, + 0.554571449756622314453125f, 0.554386615753173828125f, 0.55420291423797607421875f, 0.554020345211029052734375f, 0.553838789463043212890625f, 0.55365836620330810546875f, 0.5534789562225341796875f, 0.553300559520721435546875f, + 0.5531232357025146484375f, 0.55294692516326904296875f, 0.55277156829833984375f, 0.5525972843170166015625f, 0.552423954010009765625f, 0.5522515773773193359375f, 0.5520801544189453125f, 0.551909744739532470703125f, + 0.551740229129791259765625f, 0.5515716075897216796875f, 0.55140399932861328125f, 0.55123722553253173828125f, 0.5510714054107666015625f, 0.550906479358673095703125f, 0.5507423877716064453125f, 0.550579249858856201171875f, + 0.550416886806488037109375f, 0.550255477428436279296875f, 0.5500948429107666015625f, 0.549935042858123779296875f, 0.549776136875152587890625f, 0.5496180057525634765625f, 0.549460709095001220703125f, 0.549304187297821044921875f, + 0.549148499965667724609375f, 0.548993587493896484375f, 0.54883944988250732421875f, 0.54868614673614501953125f, 0.54853355884552001953125f, 0.548381745815277099609375f, 0.548230648040771484375f, 0.54808032512664794921875f, + 0.54793071746826171875f, 0.547781884670257568359375f, 0.54763376712799072265625f, 0.547486364841461181640625f, 0.547339618206024169921875f, 0.54719364643096923828125f, 0.5470483303070068359375f, 0.54690372943878173828125f, + 0.5467598438262939453125f, 0.54661655426025390625f, 0.546473979949951171875f, 0.5463321208953857421875f, 0.54619085788726806640625f, 0.546050250530242919921875f, 0.545910298824310302734375f, 0.54577100276947021484375f, + 0.54563236236572265625f, 0.5454943180084228515625f, 0.545356929302215576171875f, 0.5452201366424560546875f, 0.5450839996337890625f, 0.544948399066925048828125f, 0.544813454151153564453125f, 0.544679105281829833984375f, + 0.544545352458953857421875f, 0.544412195682525634765625f, 0.544279575347900390625f, 0.544147551059722900390625f, 0.5440161228179931640625f, 0.543885290622711181640625f, 0.54375493526458740234375f, 0.54362523555755615234375f, + 0.54349601268768310546875f, 0.5433673858642578125f, 0.543239295482635498046875f, 0.543111741542816162109375f, 0.5429847240447998046875f, 0.54285824298858642578125f, 0.542732298374176025390625f, 0.542606890201568603515625f +}; + +// gVolRampingLhs144[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingLhs144[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 85811.828125f, 89180.734375f, 91212.3984375f, 92681.8984375f, 93838.015625f, 94793.328125f, 95608.6171875f, + 96320.5234375f, 96952.859375f, 97522.0234375f, 98039.7734375f, 98514.84375f, 98953.8984375f, 99362.140625f, 99743.71875f, + 100101.9921875f, 100439.703125f, 100759.15625f, 101062.265625f, 101350.6640625f, 101625.75f, 101888.7421875f, 102140.671875f, + 102382.4609375f, 102614.9140625f, 102838.75f, 103054.59375f, 103263.015625f, 103464.53125f, 103659.578125f, 103848.5859375f, + 104031.9140625f, 104209.9140625f, 104382.890625f, 104551.125f, 104714.8828125f, 104874.3984375f, 105029.890625f, 105181.5625f, + 105329.609375f, 105474.203125f, 105615.5f, 105753.65625f, 105888.8125f, 106021.09375f, 106150.6328125f, 106277.5390625f, + 106401.9140625f, 106523.8671875f, 106643.4921875f, 106760.8828125f, 106876.1171875f, 106989.28125f, 107100.4375f, 107209.671875f, + 107317.046875f, 107422.625f, 107526.46875f, 107628.6328125f, 107729.171875f, 107828.1484375f, 107925.6015625f, 108021.578125f, + 108116.125f, 108209.296875f, 108301.1171875f, 108391.6328125f, 108480.8828125f, 108568.8984375f, 108655.71875f, 108741.3828125f, + 108825.90625f, 108909.328125f, 108991.6796875f, 109072.9921875f, 109153.28125f, 109232.578125f, 109310.9140625f, 109388.3046875f, + 109464.7734375f, 109540.34375f, 109615.0390625f, 109688.8828125f, 109761.8828125f, 109834.0703125f, 109905.4609375f, 109976.078125f, + 110045.921875f, 110115.03125f, 110183.40625f, 110251.0625f, 110318.0234375f, 110384.3046875f, 110449.90625f, 110514.859375f, + 110579.171875f, 110642.8515625f, 110705.9140625f, 110768.375f, 110830.234375f, 110891.5234375f, 110952.234375f, 111012.390625f, + 111071.9921875f, 111131.0546875f, 111189.59375f, 111247.609375f, 111305.1171875f, 111362.125f, 111418.640625f, 111474.671875f, + 111530.2265625f, 111585.3203125f, 111639.953125f, 111694.1328125f, 111747.875f, 111801.171875f, 111854.046875f, 111906.5f, + 111958.5390625f, 112010.171875f, 112061.3984375f, 112112.2265625f, 112162.671875f, 112212.734375f, 112262.421875f, 112311.734375f, + 112360.6796875f, 112409.2734375f, 112457.5078125f, 112505.390625f, 112552.9296875f, 112600.1328125f, 112647.0f, 112693.5390625f, + 112739.7578125f, 112785.6484375f, 112831.2265625f, 112876.5f, 112921.4609375f, 112966.1171875f, 113010.484375f, 113054.546875f, + 113098.328125f, 113141.8203125f, 113185.0234375f, 113227.953125f, 113270.609375f, 113312.9921875f, 113355.109375f, 113396.9609375f, + 113438.5546875f, 113479.890625f, 113520.96875f, 113561.796875f, 113602.375f, 113642.7109375f, 113682.8046875f, 113722.65625f, + 113762.2734375f, 113801.65625f, 113840.8125f, 113879.7421875f, 113918.4375f, 113956.921875f, 113995.1796875f, 114033.2265625f, + 114071.0546875f, 114108.6640625f, 114146.078125f, 114183.2734375f, 114220.265625f, 114257.0625f, 114293.6484375f, 114330.046875f, + 114366.2421875f, 114402.25f, 114438.0625f, 114473.6796875f, 114509.1171875f, 114544.3671875f, 114579.4375f, 114614.3203125f, + 114649.0234375f, 114683.5546875f, 114717.90625f, 114752.078125f, 114786.0859375f, 114819.921875f, 114853.5859375f, 114887.0859375f, + 114920.421875f, 114953.59375f, 114986.6015625f, 115019.453125f, 115052.140625f, 115084.671875f, 115117.0546875f, 115149.2734375f, + 115181.34375f, 115213.265625f, 115245.0390625f, 115276.65625f, 115308.1328125f, 115339.4609375f, 115370.6484375f, 115401.6875f, + 115432.59375f, 115463.3515625f, 115493.9765625f, 115524.4609375f, 115554.8125f, 115585.0234375f, 115615.109375f, 115645.0546875f, + 115674.875f, 115704.5546875f, 115734.1171875f, 115763.546875f, 115792.8515625f, 115822.03125f, 115851.078125f, 115880.015625f, + 115908.8203125f, 115937.5078125f, 115966.0703125f, 115994.5234375f, 116022.8515625f, 116051.0625f, 116079.15625f, 116107.140625f, + 116135.0078125f, 116162.7578125f, 116190.3984375f, 116217.9296875f, 116245.3515625f, 116272.6640625f, 116299.8671875f, 116326.9609375f, + 116353.9453125f, 116380.828125f, 116407.6015625f, 116434.2734375f, 116460.84375f, 116487.3046875f, 116513.671875f, 116539.9296875f, + 116566.09375f, 116592.15625f, 116618.125f, 116643.984375f, 116669.7578125f, 116695.4296875f, 116721.0078125f, 116746.4921875f +}; + +// gVolRampingRhs144[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingRhs144[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.763717591762542724609375f, 0.734867274761199951171875f, 0.718498766422271728515625f, 0.707106769084930419921875f, 0.6983950138092041015625f, 0.691356658935546875f, 0.685461223125457763671875f, + 0.68039500713348388671875f, 0.675957381725311279296875f, 0.6720123291015625f, 0.668463408946990966796875f, 0.665239870548248291015625f, 0.662288248538970947265625f, 0.6595671176910400390625f, 0.657043874263763427734375f, + 0.65469229221343994140625f, 0.65249097347259521484375f, 0.650422275066375732421875f, 0.648471534252166748046875f, 0.6466262340545654296875f, 0.64487588405609130859375f, 0.643211424350738525390625f, 0.641624927520751953125f, + 0.64010965824127197265625f, 0.63865959644317626953125f, 0.637269496917724609375f, 0.635934770107269287109375f, 0.63465118408203125f, 0.633415162563323974609375f, 0.632223308086395263671875f, 0.63107264041900634765625f, + 0.629960536956787109375f, 0.628884494304656982421875f, 0.627842366695404052734375f, 0.626832067966461181640625f, 0.625851809978485107421875f, 0.624899923801422119140625f, 0.623974740505218505859375f, 0.623074948787689208984375f, + 0.62219917774200439453125f, 0.6213462352752685546875f, 0.62051498889923095703125f, 0.619704306125640869140625f, 0.618913352489471435546875f, 0.618141114711761474609375f, 0.61738681793212890625f, 0.616649627685546875f, + 0.61592876911163330078125f, 0.615223586559295654296875f, 0.614533483982086181640625f, 0.613857805728912353515625f, 0.613195896148681640625f, 0.612547338008880615234375f, 0.611911594867706298828125f, 0.611288130283355712890625f, + 0.6106765270233154296875f, 0.61007630825042724609375f, 0.60948717594146728515625f, 0.608908593654632568359375f, 0.608340322971343994140625f, 0.607781946659088134765625f, 0.60723316669464111328125f, 0.60669362545013427734375f, + 0.60616302490234375f, 0.6056411266326904296875f, 0.605127632617950439453125f, 0.604622304439544677734375f, 0.60412490367889404296875f, 0.603635132312774658203125f, 0.603152751922607421875f, 0.602677643299102783203125f, + 0.602209568023681640625f, 0.601748287677764892578125f, 0.6012935638427734375f, 0.6008453369140625f, 0.600403368473052978515625f, 0.599967539310455322265625f, 0.5995376110076904296875f, 0.599113404750823974609375f, + 0.59869492053985595703125f, 0.5982818603515625f, 0.597874164581298828125f, 0.597471714019775390625f, 0.5970742702484130859375f, 0.596681892871856689453125f, 0.59629428386688232421875f, 0.595911443233489990234375f, + 0.595533192157745361328125f, 0.595159471035003662109375f, 0.59479010105133056640625f, 0.59442508220672607421875f, 0.594064295291900634765625f, 0.593707621097564697265625f, 0.5933549404144287109375f, 0.593006193637847900390625f, + 0.592661321163177490234375f, 0.592320263385772705078125f, 0.59198284149169921875f, 0.59164905548095703125f, 0.591318786144256591796875f, 0.590991973876953125f, 0.590668618679046630859375f, 0.590348541736602783203125f, + 0.59003174304962158203125f, 0.589718163013458251953125f, 0.5894076824188232421875f, 0.589100301265716552734375f, 0.5887959003448486328125f, 0.5884945392608642578125f, 0.5881960391998291015625f, 0.587900340557098388671875f, + 0.58760750293731689453125f, 0.587317407131195068359375f, 0.587029993534088134765625f, 0.586745202541351318359375f, 0.58646309375762939453125f, 0.586183488368988037109375f, 0.58590638637542724609375f, 0.58563172817230224609375f, + 0.5853595733642578125f, 0.585089743137359619140625f, 0.584822237491607666015625f, 0.584557116031646728515625f, 0.58429419994354248046875f, 0.584033548831939697265625f, 0.583775043487548828125f, 0.5835187435150146484375f, + 0.583264529705047607421875f, 0.583012402057647705078125f, 0.58276236057281494140625f, 0.582514286041259765625f, 0.582268238067626953125f, 0.582024157047271728515625f, 0.581782042980194091796875f, 0.5815417766571044921875f, + 0.5813033580780029296875f, 0.5810668468475341796875f, 0.58083212375640869140625f, 0.580599129199981689453125f, 0.580367982387542724609375f, 0.58013856410980224609375f, 0.579910814762115478515625f, 0.579684793949127197265625f, + 0.5794603824615478515625f, 0.579237639904022216796875f, 0.579016506671905517578125f, 0.57879698276519775390625f, 0.578579008579254150390625f, 0.57836258411407470703125f, 0.578147709369659423828125f, 0.577934324741363525390625f, + 0.57772243022918701171875f, 0.5775120258331298828125f, 0.57730305194854736328125f, 0.577095508575439453125f, 0.576889336109161376953125f, 0.57668459415435791015625f, 0.57648122310638427734375f, 0.576279163360595703125f, + 0.576078474521636962890625f, 0.575879156589508056640625f, 0.57568109035491943359375f, 0.57548427581787109375f, 0.5752887725830078125f, 0.575094521045684814453125f, 0.574901521205902099609375f, 0.574709713459014892578125f, + 0.574519097805023193359375f, 0.57432973384857177734375f, 0.57414150238037109375f, 0.57395446300506591796875f, 0.573768556118011474609375f, 0.573583781719207763671875f, 0.573400199413299560546875f, 0.5732176303863525390625f, + 0.57303619384765625f, 0.572855889797210693359375f, 0.572676599025726318359375f, 0.572498381137847900390625f, 0.572321236133575439453125f, 0.57214510440826416015625f, 0.5719699859619140625f, 0.571795940399169921875f, + 0.5716228485107421875f, 0.571450710296630859375f, 0.571279585361480712890625f, 0.571109473705291748046875f, 0.5709402561187744140625f, 0.57077205181121826171875f, 0.570604741573333740234375f, 0.570438325405120849609375f, + 0.570272862911224365234375f, 0.57010829448699951171875f, 0.569944679737091064453125f, 0.56978189945220947265625f, 0.56962001323699951171875f, 0.56945896148681640625f, 0.569298803806304931640625f, 0.5691394805908203125f, + 0.568980991840362548828125f, 0.568823397159576416015625f, 0.56866657733917236328125f, 0.568510591983795166015625f, 0.568355381488800048828125f, 0.568201005458831787109375f, 0.56804740428924560546875f, 0.567894637584686279296875f, + 0.5677425861358642578125f, 0.567591369152069091796875f, 0.56744086742401123046875f, 0.567291080951690673828125f, 0.56714212894439697265625f, 0.56699383258819580078125f, 0.566846370697021484375f, 0.566699564456939697265625f, + 0.56655347347259521484375f, 0.566408097743988037109375f, 0.5662634372711181640625f, 0.566119492053985595703125f, 0.565976202487945556640625f, 0.565833628177642822265625f, 0.5656917095184326171875f, 0.565550506114959716796875f, + 0.565409958362579345703125f, 0.56527006626129150390625f, 0.56513082981109619140625f, 0.5649921894073486328125f, 0.56485426425933837890625f, 0.56471693515777587890625f, 0.564580261707305908203125f, 0.56444418430328369140625f, + 0.56430876255035400390625f, 0.5641739368438720703125f, 0.564039707183837890625f, 0.56390607357025146484375f, 0.563773095607757568359375f, 0.563640654087066650390625f, 0.563508808612823486328125f, 0.563377559185028076171875f, + 0.563246905803680419921875f, 0.563116848468780517578125f, 0.562987267971038818359375f, 0.5628583431243896484375f, 0.56272995471954345703125f, 0.562602102756500244140625f, 0.562474787235260009765625f, 0.56234800815582275390625f, + 0.562221825122833251953125f, 0.562096118927001953125f, 0.561971008777618408203125f, 0.56184637546539306640625f, 0.561722278594970703125f, 0.56159865856170654296875f, 0.56147563457489013671875f, 0.56135308742523193359375f +}; + +// gVolRampingLhs128[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/16)) +f32 gVolRampingLhs128[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 88752.4921875f, 92681.8984375f, 95060.6171875f, 96785.28125f, 98144.546875f, 99269.3125f, 100230.3359375f, + 101070.328125f, 101817.09375f, 102489.78125f, 103102.1171875f, 103664.3359375f, 104184.234375f, 104667.9140625f, 105120.21875f, + 105545.09375f, 105945.765625f, 106324.921875f, 106684.828125f, 107027.390625f, 107354.2578125f, 107666.84375f, 107966.3828125f, + 108253.953125f, 108530.5f, 108796.8671875f, 109053.796875f, 109301.953125f, 109541.9375f, 109774.2890625f, 109999.484375f, + 110217.9765625f, 110430.15625f, 110636.390625f, 110837.0078125f, 111032.328125f, 111222.6328125f, 111408.1640625f, 111589.1796875f, + 111765.8984375f, 111938.515625f, 112107.234375f, 112272.2265625f, 112433.65625f, 112591.6875f, 112746.4609375f, 112898.109375f, + 113046.765625f, 113192.5390625f, 113335.5546875f, 113475.9140625f, 113613.71875f, 113749.0546875f, 113882.0234375f, 114012.6953125f, + 114141.1640625f, 114267.5f, 114391.7734375f, 114514.0546875f, 114634.4140625f, 114752.8984375f, 114869.578125f, 114984.5078125f, + 115097.7421875f, 115209.328125f, 115319.3125f, 115427.75f, 115534.6796875f, 115640.140625f, 115744.1875f, 115846.84375f, + 115948.15625f, 116048.15625f, 116146.875f, 116244.359375f, 116340.625f, 116435.71875f, 116529.65625f, 116622.4765625f, + 116714.1953125f, 116804.8515625f, 116894.4609375f, 116983.046875f, 117070.640625f, 117157.265625f, 117242.9453125f, 117327.6875f, + 117411.5234375f, 117494.46875f, 117576.546875f, 117657.78125f, 117738.171875f, 117817.75f, 117896.5390625f, 117974.5390625f, + 118051.7734375f, 118128.2578125f, 118204.0f, 118279.03125f, 118353.3515625f, 118426.9765625f, 118499.921875f, 118572.203125f, + 118643.828125f, 118714.8046875f, 118785.15625f, 118854.8828125f, 118924.0078125f, 118992.53125f, 119060.46875f, 119127.8359375f, + 119194.625f, 119260.8671875f, 119326.5546875f, 119391.7109375f, 119456.3359375f, 119520.4375f, 119584.03125f, 119647.1171875f, + 119709.7109375f, 119771.8203125f, 119833.4453125f, 119894.6015625f, 119955.2890625f, 120015.5234375f, 120075.3125f, 120134.6484375f, + 120193.5546875f, 120252.03125f, 120310.078125f, 120367.7109375f, 120424.9375f, 120481.7578125f, 120538.171875f, 120594.1953125f, + 120649.8359375f, 120705.09375f, 120759.96875f, 120814.4765625f, 120868.6171875f, 120922.3984375f, 120975.8203125f, 121028.890625f, + 121081.6171875f, 121134.0f, 121186.046875f, 121237.7578125f, 121289.140625f, 121340.1953125f, 121390.9375f, 121441.359375f, + 121491.46875f, 121541.265625f, 121590.765625f, 121639.9609375f, 121688.8671875f, 121737.4765625f, 121785.7890625f, 121833.8203125f, + 121881.5703125f, 121929.046875f, 121976.2421875f, 122023.1640625f, 122069.8203125f, 122116.203125f, 122162.328125f, 122208.1953125f, + 122253.8046875f, 122299.15625f, 122344.265625f, 122389.1171875f, 122433.7265625f, 122478.1015625f, 122522.2265625f, 122566.1171875f, + 122609.7734375f, 122653.203125f, 122696.3984375f, 122739.3671875f, 122782.109375f, 122824.6328125f, 122866.9296875f, 122909.015625f, + 122950.890625f, 122992.546875f, 123033.9921875f, 123075.2265625f, 123116.2578125f, 123157.0859375f, 123197.71875f, 123238.140625f, + 123278.3671875f, 123318.3984375f, 123358.2421875f, 123397.8828125f, 123437.34375f, 123476.609375f, 123515.6875f, 123554.5859375f, + 123593.296875f, 123631.8359375f, 123670.1875f, 123708.359375f, 123746.359375f, 123784.1875f, 123821.84375f, 123859.3203125f, + 123896.6328125f, 123933.78125f, 123970.7578125f, 124007.5703125f, 124044.2265625f, 124080.7109375f, 124117.0390625f, 124153.2109375f, + 124189.2265625f, 124225.078125f, 124260.78125f, 124296.328125f, 124331.7265625f, 124366.9765625f, 124402.0703125f, 124437.0234375f, + 124471.828125f, 124506.484375f, 124540.9921875f, 124575.3671875f, 124609.59375f, 124643.6796875f, 124677.6328125f, 124711.4453125f, + 124745.1171875f, 124778.65625f, 124812.0546875f, 124845.328125f, 124878.46875f, 124911.46875f, 124944.34375f, 124977.09375f, + 125009.7109375f, 125042.203125f, 125074.5703125f, 125106.8125f, 125138.921875f, 125170.9140625f, 125202.7890625f, 125234.5390625f, + 125266.1640625f, 125297.671875f, 125329.0625f, 125360.34375f, 125391.5f, 125422.5390625f, 125453.46875f, 125484.28125f +}; + +// gVolRampingRhs128[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/16)) +f32 gVolRampingRhs128[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.7384130954742431640625f, 0.707106769084930419921875f, 0.68941271305084228515625f, 0.677127778530120849609375f, 0.66774976253509521484375f, 0.66018390655517578125f, 0.653853952884674072265625f, + 0.648419797420501708984375f, 0.64366400241851806640625f, 0.639439404010772705078125f, 0.635641634464263916015625f, 0.6321942806243896484375f, 0.6290395259857177734375f, 0.626132667064666748046875f, 0.6234385967254638671875f, + 0.62092888355255126953125f, 0.618580639362335205078125f, 0.6163747310638427734375f, 0.614295423030853271484375f, 0.6123292446136474609375f, 0.610464870929718017578125f, 0.60869252681732177734375f, 0.607003748416900634765625f, + 0.605391323566436767578125f, 0.6038486957550048828125f, 0.60237026214599609375f, 0.600951135158538818359375f, 0.5995867252349853515625f, 0.59827315807342529296875f, 0.597006857395172119140625f, 0.595784604549407958984375f, + 0.59460353851318359375f, 0.593461096286773681640625f, 0.592354834079742431640625f, 0.5912826061248779296875f, 0.59024250507354736328125f, 0.589232623577117919921875f, 0.588251292705535888671875f, 0.58729708194732666015625f, + 0.586368501186370849609375f, 0.5854642391204833984375f, 0.58458316326141357421875f, 0.583724081516265869140625f, 0.582885921001434326171875f, 0.58206784725189208984375f, 0.581268787384033203125f, 0.580488026142120361328125f, + 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0.53230988979339599609375f, 0.532133400440216064453125f, 0.531957924365997314453125f, 0.531783401966094970703125f, + 0.53160989284515380859375f, 0.531437337398529052734375f, 0.531265676021575927734375f, 0.531095027923583984375f, 0.530925214290618896484375f, 0.530756413936614990234375f, 0.530588448047637939453125f, 0.530421435832977294921875f, + 0.530255258083343505859375f, 0.530090034008026123046875f, 0.529925644397735595703125f, 0.529762089252471923828125f, 0.5295994281768798828125f, 0.529437601566314697265625f, 0.529276549816131591796875f, 0.5291163921356201171875f, + 0.528957068920135498046875f, 0.528798520565032958984375f, 0.528640806674957275390625f, 0.528483867645263671875f, 0.5283277034759521484375f, 0.528172314167022705078125f, 0.5280177593231201171875f, 0.527863919734954833984375f, + 0.527710855007171630859375f, 0.527558505535125732421875f, 0.5274069309234619140625f, 0.52725613117218017578125f, 0.527105987071990966796875f, 0.526956617832183837890625f, 0.526807963848114013671875f, 0.52665996551513671875f, + 0.52651274204254150390625f, 0.526366174221038818359375f, 0.5262203216552734375f, 0.5260751247406005859375f, 0.525930583477020263671875f, 0.52578675746917724609375f, 0.5256435871124267578125f, 0.525501072406768798828125f, + 0.52535927295684814453125f, 0.52521800994873046875f, 0.52507746219635009765625f, 0.524937570095062255859375f, 0.52479827404022216796875f, 0.524659574031829833984375f, 0.524521529674530029296875f, 0.524384081363677978515625f, + 0.52424728870391845703125f, 0.5241110324859619140625f, 0.523975431919097900390625f, 0.523840367794036865234375f, 0.523705959320068359375f, 0.52357208728790283203125f, 0.52343881130218505859375f, 0.5233061313629150390625f, + 0.523173987865447998046875f, 0.5230424404144287109375f, 0.52291142940521240234375f, 0.522780954837799072265625f, 0.52265107631683349609375f, 0.5225217342376708984375f, 0.522392928600311279296875f, 0.522264659404754638671875f +}; + +#elif (VOL_RAMPING_EXPONENT == 9) + +// gVolRampingLhs136[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/17) +f32 gVolRampingLhs136[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 83700.0703125f, 87183.328125f, 89287.7265625f, 90811.5546875f, 92011.4140625f, 93003.5234375f, 93850.6875f, + 94590.765625f, 95248.40625f, 95840.5625f, 96379.3984375f, 96873.9609375f, 97331.15625f, 97756.3828125f, 98153.921875f, + 98527.2578125f, 98879.25f, 99212.265625f, 99528.3046875f, 99829.0625f, 100115.984375f, 100390.3203125f, 100653.171875f, + 100905.46875f, 101148.0625f, 101381.6953125f, 101607.015625f, 101824.609375f, 102035.015625f, 102238.6953125f, 102436.0859375f, + 102627.5703125f, 102813.5078125f, 102994.2109375f, 103169.9765625f, 103341.0859375f, 103507.7734375f, 103670.2734375f, 103828.8046875f, + 103983.546875f, 104134.6953125f, 104282.4140625f, 104426.8515625f, 104568.1640625f, 104706.4921875f, 104841.953125f, 104974.6640625f, + 105104.75f, 105232.3125f, 105357.4453125f, 105480.2421875f, 105600.796875f, 105719.1875f, 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0.54528844356536865234375f, 0.5452201366424560546875f, 0.545152008533477783203125f, + 0.5450839996337890625f, 0.545016109943389892578125f, 0.544948399066925048828125f, 0.54488086700439453125f, 0.544813454151153564453125f, 0.544746220111846923828125f, 0.544679105281829833984375f, 0.5446121692657470703125f, + 0.544545352458953857421875f, 0.5444786548614501953125f, 0.544412195682525634765625f, 0.544345796108245849609375f, 0.544279575347900390625f, 0.544213473796844482421875f, 0.544147551059722900390625f, 0.544081747531890869140625f, + 0.5440161228179931640625f, 0.543950617313385009765625f, 0.543885290622711181640625f, 0.54382002353668212890625f, 0.54375493526458740234375f, 0.543690025806427001953125f, 0.54362523555755615234375f, 0.543560564517974853515625f, + 0.54349601268768310546875f, 0.54343163967132568359375f, 0.5433673858642578125f, 0.5433032512664794921875f, 0.543239295482635498046875f, 0.5431754589080810546875f, 0.543111741542816162109375f, 0.5430481433868408203125f, + 0.5429847240447998046875f, 0.54292142391204833984375f, 0.54285824298858642578125f, 0.5427951812744140625f, 0.542732298374176025390625f, 0.5426695346832275390625f, 0.542606890201568603515625f, 0.54254436492919921875f +}; + +// gVolRampingLhs144[k] = 2^16 * max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingLhs144[1 << VOL_RAMPING_EXPONENT] = { + 65536.0f, 82570.1875f, 85811.828125f, 87766.75f, 89180.734375f, 90293.1796875f, 91212.3984375f, 91996.890625f, + 92681.8984375f, 93290.3515625f, 93838.015625f, 94336.2109375f, 94793.328125f, 95215.796875f, 95608.6171875f, 95975.78125f, + 96320.5234375f, 96645.4765625f, 96952.859375f, 97244.515625f, 97522.0234375f, 97786.71875f, 98039.7734375f, 98282.1875f, + 98514.84375f, 98738.515625f, 98953.8984375f, 99161.5859375f, 99362.140625f, 99556.0390625f, 99743.71875f, 99925.5859375f, + 100101.9921875f, 100273.265625f, 100439.703125f, 100601.5859375f, 100759.15625f, 100912.640625f, 101062.265625f, 101208.2109375f, + 101350.6640625f, 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115292.4140625f, + 115308.1328125f, 115323.8125f, 115339.4609375f, 115355.0703125f, 115370.6484375f, 115386.1875f, 115401.6875f, 115417.15625f, + 115432.59375f, 115447.9921875f, 115463.3515625f, 115478.6796875f, 115493.9765625f, 115509.234375f, 115524.4609375f, 115539.65625f, + 115554.8125f, 115569.9375f, 115585.0234375f, 115600.0859375f, 115615.109375f, 115630.09375f, 115645.0546875f, 115659.9765625f, + 115674.875f, 115689.734375f, 115704.5546875f, 115719.3515625f, 115734.1171875f, 115748.84375f, 115763.546875f, 115778.2109375f, + 115792.8515625f, 115807.453125f, 115822.03125f, 115836.5703125f, 115851.078125f, 115865.5625f, 115880.015625f, 115894.4296875f, + 115908.8203125f, 115923.1796875f, 115937.5078125f, 115951.8046875f, 115966.0703125f, 115980.3125f, 115994.5234375f, 116008.703125f, + 116022.8515625f, 116036.96875f, 116051.0625f, 116065.125f, 116079.15625f, 116093.1640625f, 116107.140625f, 116121.0859375f, + 116135.0078125f, 116148.8984375f, 116162.7578125f, 116176.59375f, 116190.3984375f, 116204.1796875f, 116217.9296875f, 116231.65625f, + 116245.3515625f, 116259.0234375f, 116272.6640625f, 116286.2734375f, 116299.8671875f, 116313.421875f, 116326.9609375f, 116340.4609375f, + 116353.9453125f, 116367.3984375f, 116380.828125f, 116394.2265625f, 116407.6015625f, 116420.953125f, 116434.2734375f, 116447.5703125f, + 116460.84375f, 116474.0859375f, 116487.3046875f, 116500.5f, 116513.671875f, 116526.8125f, 116539.9296875f, 116553.0234375f, + 116566.09375f, 116579.140625f, 116592.15625f, 116605.1484375f, 116618.125f, 116631.0703125f, 116643.984375f, 116656.8828125f, + 116669.7578125f, 116682.6015625f, 116695.4296875f, 116708.2265625f, 116721.0078125f, 116733.7578125f, 116746.4921875f, 116759.1953125f +}; + +// gVolRampingRhs144[k] = 1 / max(1, ((1<<(15-VOL_RAMPING_EXPONENT))*k)^(1/18)) +f32 gVolRampingRhs144[1 << VOL_RAMPING_EXPONENT] = { + 1.0f, 0.793700516223907470703125f, 0.763717591762542724609375f, 0.746706485748291015625f, 0.734867274761199951171875f, 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