package rds

import "math"

// RDS encoder — port of PiFmRds, adapted for arbitrary sample rates.
// At 228 kHz: uses exact {0,+1,0,-1} carrier (identical to PiFmRds).
// At other rates: uses sin() carrier, with integer samples-per-bit when possible.
// The biphase waveform from PiFmRds is resampled to the target rate.

const (
	refRate       = 228000.0  // PiFmRds native rate
	rdsBitRate    = 1187.5
	refSPB        = 192       // refRate / rdsBitRate
	bitsPerBlock  = 26
	bitsPerGroup  = 4 * bitsPerBlock
	refFilterSize = 576       // PiFmRds waveform length at 228k
)

const crcPoly = 0x1B9
var offsetWords = map[byte]uint16{'A': 0x0FC, 'B': 0x198, 'C': 0x168, 'c': 0x350, 'D': 0x1B4}

func crc10(data uint16) uint16 {
	var reg uint32 = uint32(data) << 10
	for i := 15; i >= 0; i-- {
		if reg&(1<<(uint(i)+10)) != 0 { reg ^= uint32(crcPoly) << uint(i) }
	}
	return uint16(reg & 0x3FF)
}
func encodeBlock(data uint16, offset byte) uint32 {
	return (uint32(data) << 10) | uint32(crc10(data)^offsetWords[offset])
}
func buildGroup0A(pi uint16, pty uint8, tp, ta bool, segIdx int, ps string) [4]uint16 {
	ps = normalizePS(ps); var bB uint16
	if tp { bB |= 1 << 10 }; bB |= uint16(pty&0x1F) << 5
	if ta { bB |= 1 << 4 }; bB |= 1 << 3; bB |= uint16(segIdx & 0x03)
	ci := segIdx * 2
	return [4]uint16{pi, bB, pi, (uint16(ps[ci]) << 8) | uint16(ps[ci+1])}
}
func buildGroup2A(pi uint16, pty uint8, tp bool, abFlag bool, segIdx int, rt string) [4]uint16 {
	rt = normalizeRT(rt); var bB uint16 = 2 << 12
	if tp { bB |= 1 << 10 }; bB |= uint16(pty&0x1F) << 5
	if abFlag { bB |= 1 << 4 }; bB |= uint16(segIdx & 0x0F)
	ci := segIdx * 4; c0, c1, c2, c3 := padRT(rt, ci)
	return [4]uint16{pi, bB, (uint16(c0) << 8) | uint16(c1), (uint16(c2) << 8) | uint16(c3)}
}
func padRT(rt string, off int) (byte, byte, byte, byte) {
	g := func(i int) byte { if i < len(rt) { return rt[i] }; return ' ' }
	return g(off), g(off+1), g(off+2), g(off+3)
}
type GroupScheduler struct { cfg RDSConfig; psIdx, rtIdx, phase int; rtABFlag bool }
func newGroupScheduler(cfg RDSConfig) *GroupScheduler { return &GroupScheduler{cfg: cfg} }
func (gs *GroupScheduler) NextGroup() [4]uint16 {
	if gs.phase < 4 {
		g := buildGroup0A(gs.cfg.PI, gs.cfg.PTY, gs.cfg.TP, gs.cfg.TA, gs.psIdx, gs.cfg.PS)
		gs.psIdx = (gs.psIdx + 1) % 4; gs.phase++; return g
	}
	g := buildGroup2A(gs.cfg.PI, gs.cfg.PTY, gs.cfg.TP, gs.rtABFlag, gs.rtIdx, gs.cfg.RT)
	gs.rtIdx++; rtSegs := rtSegmentCount(gs.cfg.RT)
	if gs.rtIdx >= rtSegs { gs.rtIdx = 0; gs.rtABFlag = !gs.rtABFlag }
	gs.phase++; if gs.phase >= 4+rtSegs { gs.phase = 0 }; return g
}
func rtSegmentCount(rt string) int {
	rt = normalizeRT(rt); n := (len(rt)+3)/4
	if n == 0 { n = 1 }; if n > 16 { n = 16 }; return n
}

// Encoder generates RDS subcarrier samples at any sample rate.
// Uses the PiFmRds waveform resampled to the target rate.
type Encoder struct {
	config    RDSConfig
	scheduler *GroupScheduler
	sampleRate float64
	spb        int        // samples per bit at target rate
	waveform   []float64  // resampled PiFmRds waveform
	wfLen      int        // length of resampled waveform
	ring       []float64  // overlap-add ring buffer
	ringSize   int
	
	bitBuffer  [bitsPerGroup]int
	bitPos     int
	prevOutput int
	curOutput  int
	
	sampleCount  int
	inSampleIdx  int
	outSampleIdx int
	carrierPhase float64 // for sin() carrier at non-228k rates
	carrierStep  float64

	SampleRate float64
}

func NewEncoder(cfg RDSConfig) (*Encoder, error) {
	if cfg.SampleRate <= 0 { cfg.SampleRate = refRate }
	cfg.PS = normalizePS(cfg.PS); cfg.RT = normalizeRT(cfg.RT)
	
	rate := cfg.SampleRate
	spb := int(math.Round(rate / rdsBitRate))
	ratio := rate / refRate
	
	// Resample PiFmRds waveform to target rate
	wfLen := int(math.Round(float64(refFilterSize) * ratio))
	waveform := make([]float64, wfLen)
	for i := range waveform {
		srcPos := float64(i) / ratio
		idx := int(srcPos)
		frac := srcPos - float64(idx)
		if idx+1 < refFilterSize {
			waveform[i] = refWaveform[idx]*(1-frac) + refWaveform[idx+1]*frac
		} else if idx < refFilterSize {
			waveform[i] = refWaveform[idx]
		}
	}
	
	ringSize := spb + wfLen
	
	enc := &Encoder{
		config:       cfg,
		scheduler:    newGroupScheduler(cfg),
		sampleRate:   rate,
		spb:          spb,
		waveform:     waveform,
		wfLen:        wfLen,
		ring:         make([]float64, ringSize),
		ringSize:     ringSize,
		bitPos:       bitsPerGroup,
		sampleCount:  spb,
		outSampleIdx: ringSize - 1,
		carrierStep:  57000.0 / rate,
		SampleRate:   rate,
	}
	return enc, nil
}

func (e *Encoder) Reset() {
	e.scheduler = newGroupScheduler(e.config)
	e.bitPos = bitsPerGroup; e.sampleCount = e.spb
	e.prevOutput = 0; e.curOutput = 0
	e.inSampleIdx = 0; e.outSampleIdx = e.ringSize - 1
	e.carrierPhase = 0
	for i := range e.ring { e.ring[i] = 0 }
}

// NextSample returns the next RDS subcarrier sample at the configured rate.
// Uses the internal free-running 57 kHz carrier. Prefer NextSampleWithCarrier
// for phase-locked operation in a stereo MPX chain.
func (e *Encoder) NextSample() float64 {
	carrier := math.Sin(2 * math.Pi * e.carrierPhase)
	e.carrierPhase += e.carrierStep
	if e.carrierPhase >= 1.0 { e.carrierPhase -= 1.0 }
	return e.NextSampleWithCarrier(carrier)
}

// NextSampleWithCarrier returns the next RDS sample modulated onto the
// supplied carrier value. The caller must provide sin(3 × pilotPhase × 2π)
// so that the 57 kHz RDS carrier is phase-locked to the 19 kHz pilot.
func (e *Encoder) NextSampleWithCarrier(carrier float64) float64 {
	if e.sampleCount >= e.spb {
		if e.bitPos >= bitsPerGroup {
			e.getRDSGroup()
			e.bitPos = 0
		}
		// Differential encoding (PiFmRds-exact)
		curBit := e.bitBuffer[e.bitPos]
		e.prevOutput = e.curOutput
		e.curOutput = e.prevOutput ^ curBit
		inverting := (e.curOutput == 1)
		
		// Overlap-add waveform
		idx := e.inSampleIdx
		for j := 0; j < e.wfLen; j++ {
			val := e.waveform[j]
			if inverting { val = -val }
			e.ring[idx] += val
			idx++; if idx >= e.ringSize { idx = 0 }
		}
		e.inSampleIdx += e.spb
		if e.inSampleIdx >= e.ringSize { e.inSampleIdx -= e.ringSize }
		e.bitPos++
		e.sampleCount = 0
	}
	
	// Read envelope from ring buffer
	envelope := e.ring[e.outSampleIdx]
	e.ring[e.outSampleIdx] = 0
	e.outSampleIdx++; if e.outSampleIdx >= e.ringSize { e.outSampleIdx = 0 }
	
	e.sampleCount++
	return envelope * carrier
}

// NextSample228k is an alias for backward compat
func (e *Encoder) NextSample228k() float64 { return e.NextSample() }
func (e *Encoder) Generate(n int) []float64 {
	out := make([]float64, n); for i := range out { out[i] = e.NextSample() }; return out
}
func (e *Encoder) Symbol() float64 {
	if e.bitPos >= bitsPerGroup { return -1 }
	sym := 1.0; if e.bitBuffer[e.bitPos] == 0 { sym = -1.0 }
	e.sampleCount++
	if e.sampleCount >= e.spb { e.sampleCount = 0; e.bitPos++
		if e.bitPos >= bitsPerGroup { e.getRDSGroup(); e.bitPos = 0 }
	}; return sym
}

func (e *Encoder) getRDSGroup() {
	group := e.scheduler.NextGroup(); pos := 0
	for blk, off := range [4]byte{'A', 'B', 'C', 'D'} {
		encoded := encodeBlock(group[blk], off)
		for bit := bitsPerBlock - 1; bit >= 0; bit-- {
			e.bitBuffer[pos] = int((encoded >> uint(bit)) & 1); pos++
		}
	}
}


// refWaveform — exact PiFmRds waveform_biphase (576 samples at 228 kHz)
var refWaveform = [576]float64{
	2.532651330219518743e-03, 2.555044910373570170e-03, 2.566671021257086772e-03, 2.567238549701184643e-03,
	2.556496746672830885e-03, 2.534237165729987841e-03, 2.500295472534516759e-03, 2.454553115509106563e-03,
	2.396938848057333059e-03, 2.327430093141364103e-03, 2.246054141429317842e-03, 2.152889174683249481e-03,
	2.048065106558019741e-03, 1.931764233519830953e-03, 1.804221689169753116e-03, 1.665725695871127275e-03,
	1.516617608227482320e-03, 1.357291743639731877e-03, 1.188194995883951532e-03, 1.009826228393920439e-03,
	8.227354447016149448e-04, 6.275227342843667493e-04, 4.248369928834821877e-04, 2.153744171968115500e-04,
	-1.232252981576898894e-07, -2.208705497650993482e-04, -4.460407281680368592e-04, -6.747678807736505729e-04,
	-9.061496807071534867e-04, -1.139250166374730904e-03, -1.373102755669571148e-03, -1.606713454985107814e-03,
	-1.839064255174424622e-03, -2.069116705719896768e-03, -2.295815657515722953e-03, -2.518093163822523149e-03,
	-2.734872528130168675e-03, -2.945072486864876073e-03, -3.147611514104867864e-03, -3.341412234726898710e-03,
	-3.525405931697330516e-03, -3.698537132549940647e-03, -3.859768259460998226e-03, -4.008084326742814528e-03,
	-4.142497669033530158e-03, -4.262052682966127777e-03, -4.365830564655405997e-03, -4.452954024951411884e-03,
	-4.522591964073326663e-03, -4.573964086961633882e-03, -4.606345440470235343e-03, -4.619070853366329284e-03,
	-4.611539260015793187e-03, -4.583217888607013166e-03, -4.533646294807957243e-03, -4.462440221861094410e-03,
	-4.369295268298792508e-03, -4.253990344709691375e-03, -4.116390901303888447e-03, -3.956451908412099601e-03,
	-3.774220572511344761e-03, -3.569838770897127041e-03, -3.343545188717922216e-03, -3.095677142753055708e-03,
	-2.826672077047463587e-03, -2.537068716315400187e-03, -2.227507863888385838e-03, -1.898732831910291503e-03,
	-1.551589492469313079e-03, -1.187025939403796478e-03, -8.060917516227311674e-04, -4.099368499382796552e-04,
	1.900593832358028364e-07, 4.229434598897815903e-04, 8.568834232677739271e-04, 1.300478433616307234e-03,
	1.752108639186909398e-03, 2.210069531690153112e-03, 2.672576051828062533e-03, 3.137767118244720512e-03,
	3.603710575596331869e-03, 4.068408555938784511e-03, 4.529803246113349099e-03, 4.985783052286746689e-03,
	5.434189151275972511e-03, 5.872822416766181226e-03, 6.299450707012693891e-03, 6.711816499117106809e-03,
	7.107644853482626354e-03, 7.484651690592414135e-03, 7.840552360821295350e-03, 8.173070486592225875e-03,
	8.479947054827158270e-03, 8.758949736324453048e-03, 9.007882407426009638e-03, 9.224594848121719579e-03,
	9.406992589581098657e-03, 9.553046883008396370e-03, 9.660804760689966145e-03, 9.728399159148424027e-03,
	9.754059073439845171e-03, 9.736119710831808022e-03, 9.673032611387005070e-03, 9.563375702351037400e-03,
	9.405863252709357331e-03, 9.199355693838612638e-03, 8.942869271836061465e-03, 8.635585496870153838e-03,
	8.276860354756325477e-03, 7.866233245929400361e-03, 7.403435617058454557e-03, 6.888399250731210011e-03,
	6.321264178928198696e-03, 5.702386186409919011e-03, 5.032343870653735625e-03, 4.311945225603512621e-03,
	3.542233717233159249e-03, 2.724493819771388933e-03, 1.860255982396226328e-03, 9.513009972738021430e-04,
	-3.362590087872507610e-07, -9.923637372837323424e-04, -2.022229806201048148e-03, -3.087121544982383836e-03,
	-4.183963760744797630e-03, -5.309418750929982035e-03, -6.459886829603163697e-03, -7.631507634530486361e-03,
	-8.820162230001177273e-03, -1.002147601834123269e-02, -1.123082247097366773e-02, -1.244332768771695338e-02,
	-1.365387579078745396e-02, -1.485711515769077770e-02, -1.604746549484995649e-02, -1.721912575143924595e-02,
	-1.836608287047301891e-02, -1.948212137174597930e-02, -2.056083375874448449e-02, -2.159563173915068912e-02,
	-2.257975824605283968e-02, -2.350630024446240945e-02, -2.436820230522675906e-02, -2.515828092592677437e-02,
	-2.586923957586502801e-02, -2.649368443979239693e-02, -2.702414083259563338e-02, -2.745307025478293042e-02,
	-2.777288805626721910e-02, -2.797598167366384739e-02, -2.805472940409954943e-02, -2.800151967637884431e-02,
	-2.780877077828078359e-02, -2.746895099676937430e-02, -2.697459912600155829e-02, -2.631834529621684959e-02,
	-2.549293207489373297e-02, -2.449123578997222314e-02, -2.330628802347053594e-02, -2.193129722247495056e-02,
	-2.035967037326144244e-02, -1.858503468321714980e-02, -1.660125921427981280e-02, -1.440247641080375819e-02,
	-1.198310346409471074e-02, -9.337863455345842695e-03, -6.461806218342813941e-03, -3.350328863101498331e-03,
	8.040984433930472399e-07, 3.595441083468180719e-03, 7.437024284502863521e-03, 1.152857108893870150e-02,
	1.587265612925233688e-02, 2.047139402062919666e-02, 2.532642284173815955e-02, 3.043888841331177791e-02,
	3.580942942793266526e-02, 4.143816348300550373e-02, 4.732467406731786369e-02, 5.346799854986208217e-02,
	5.986661721770201311e-02, 6.651844340763700403e-02, 7.342081477423043068e-02, 8.057048573445227402e-02,
	8.796362112672609368e-02, 9.559579111958180220e-02, 1.034619674024025021e-01, 1.115565206879204074e-01,
	1.198732195531727329e-01, 1.284052306425759737e-01, 1.371451202536290992e-01, 1.460848573225170255e-01,
	1.552158178235605868e-01, 1.645287905930657713e-01, 1.740139845846588318e-01, 1.836610375596755829e-01,
	1.934590262126028026e-01, 2.033964777279658187e-01, 2.134613827614141035e-01, 2.236412098341045707e-01,
	2.339229211258132823e-01, 2.442929896485369901e-01, 2.547374177786905780e-01, 2.652417571223665282e-01,
	2.757911296845135252e-01, 2.863702503093192853e-01, 2.969634503555686478e-01, 3.075547025672780710e-01,
	3.181276470965210823e-01, 3.286656186320493500e-01, 3.391516745840755798e-01, 3.495686242724773130e-01,
	3.598990590626389707e-01, 3.701253833902611312e-01, 3.802298466136770361e-01, 3.901945756295767120e-01,
	4.000016081911345056e-01, 4.096329268202659746e-01, 4.190704933607786176e-01, 4.282962839026540069e-01,
	4.372923241989370990e-01, 4.460407253805190875e-01, 4.545237199298762798e-01, 4.627236978285061975e-01,
	4.706232427973597865e-01, 4.782051685485750880e-01, 4.854525549661181105e-01, 4.923487841323866965e-01,
	4.988775761175122669e-01, 5.050230244479789743e-01, 5.107696311712632831e-01, 5.161023414335079718e-01,
	5.210065774877549183e-01, 5.254682720509856741e-01, 5.294739009291574705e-01, 5.330105148305670504e-01,
	5.360657702892279719e-01, 5.386279596215074461e-01, 5.406860398410284763e-01, 5.422296604588032753e-01,
	5.432491900977250987e-01, 5.437357418528805386e-01, 5.436811973316860724e-01, 5.430782293105560488e-01,
	5.419203229476984296e-01, 5.402017954946758405e-01, 5.379178144525937899e-01, 5.350644141221254646e-01,
	5.316385105000952516e-01, 5.276379144789866693e-01, 5.230613433094983833e-01, 5.179084302901690862e-01,
	5.121797326520726168e-01, 5.058767376106826363e-01, 4.990018665611814508e-01, 4.915584773977406674e-01,
	4.835508649416218607e-01, 4.749842594673260865e-01, 4.658648233204350508e-01, 4.561996456252422338e-01,
	4.459967350847497403e-01, 4.352650108800791839e-01, 4.240142916808554152e-01, 4.122552827825399224e-01,
	3.999995613968218566e-01, 3.872595600805870397e-01, 3.740485484506272384e-01, 3.603806130210642222e-01,
	3.462706353977916263e-01, 3.317342687539049928e-01, 3.167879126713797899e-01, 3.014486863933045213e-01,
	2.857344005404113818e-01, 2.696635273493745433e-01, 2.532551694939167986e-01, 2.365290275532226649e-01,
	2.195053661954201318e-01, 2.022049791470396651e-01, 1.846491530223047517e-01, 1.668596300888892936e-01,
	1.488585700493792463e-01, 1.306685109200720063e-01, 1.123123290909592703e-01, 9.381319865274144465e-02,
	7.519455007851447159e-02, 5.648002834935082067e-02, 3.769345061436135680e-02, 1.885876347696378158e-02,
	0.000000000000000000e+00, -1.885876347696378158e-02, -3.769345061436135680e-02, -5.648002834935082067e-02,
	-7.519455007851447159e-02, -9.381319865274144465e-02, -1.123123290909592703e-01, -1.306685109200720063e-01,
	-1.488585700493792463e-01, -1.668596300888892936e-01, -1.846491530223047517e-01, -2.022049791470396651e-01,
	-2.195053661954201318e-01, -2.365290275532226649e-01, -2.532551694939167986e-01, -2.696635273493745433e-01,
	-2.857344005404113818e-01, -3.014486863933045213e-01, -3.167879126713797899e-01, -3.317342687539049928e-01,
	-3.462706353977916263e-01, -3.603806130210642222e-01, -3.740485484506272384e-01, -3.872595600805870397e-01,
	-3.999995613968218566e-01, -4.122552827825399224e-01, -4.240142916808554152e-01, -4.352650108800791839e-01,
	-4.459967350847497403e-01, -4.561996456252422338e-01, -4.658648233204350508e-01, -4.749842594673260865e-01,
	-4.835508649416218607e-01, -4.915584773977406674e-01, -4.990018665611814508e-01, -5.058767376106826363e-01,
	-5.121797326520726168e-01, -5.179084302901690862e-01, -5.230613433094983833e-01, -5.276379144789866693e-01,
	-5.316385105000952516e-01, -5.350644141221254646e-01, -5.379178144525937899e-01, -5.402017954946758405e-01,
	-5.419203229476984296e-01, -5.430782293105560488e-01, -5.436811973316860724e-01, -5.437357418528805386e-01,
	-5.432491900977250987e-01, -5.422296604588032753e-01, -5.406860398410284763e-01, -5.386279596215074461e-01,
	-5.360657702892279719e-01, -5.330105148305670504e-01, -5.294739009291574705e-01, -5.254682720509856741e-01,
	-5.210065774877549183e-01, -5.161023414335079718e-01, -5.107696311712632831e-01, -5.050230244479789743e-01,
	-4.988775761175122669e-01, -4.923487841323866965e-01, -4.854525549661181105e-01, -4.782051685485750880e-01,
	-4.706232427973597865e-01, -4.627236978285061975e-01, -4.545237199298762798e-01, -4.460407253805190875e-01,
	-4.372923241989370990e-01, -4.282962839026540069e-01, -4.190704933607786176e-01, -4.096329268202659746e-01,
	-4.000016081911345056e-01, -3.901945756295767120e-01, -3.802298466136770361e-01, -3.701253833902611312e-01,
	-3.598990590626389707e-01, -3.495686242724773130e-01, -3.391516745840755798e-01, -3.286656186320493500e-01,
	-3.181276470965210823e-01, -3.075547025672780710e-01, -2.969634503555686478e-01, -2.863702503093192853e-01,
	-2.757911296845135252e-01, -2.652417571223665282e-01, -2.547374177786905780e-01, -2.442929896485369901e-01,
	-2.339229211258132823e-01, -2.236412098341045707e-01, -2.134613827614141035e-01, -2.033964777279658187e-01,
	-1.934590262126028026e-01, -1.836610375596755829e-01, -1.740139845846588318e-01, -1.645287905930657713e-01,
	-1.552158178235605868e-01, -1.460848573225170255e-01, -1.371451202536290992e-01, -1.284052306425759737e-01,
	-1.198732195531727329e-01, -1.115565206879204074e-01, -1.034619674024025021e-01, -9.559579111958180220e-02,
	-8.796362112672609368e-02, -8.057048573445227402e-02, -7.342081477423043068e-02, -6.651844340763700403e-02,
	-5.986661721770201311e-02, -5.346799854986208217e-02, -4.732467406731786369e-02, -4.143816348300550373e-02,
	-3.580942942793266526e-02, -3.043888841331177791e-02, -2.532642284173815955e-02, -2.047139402062919666e-02,
	-1.587265612925233688e-02, -1.152857108893870150e-02, -7.437024284502863521e-03, -3.595441083468180719e-03,
	-8.040984433930472399e-07, 3.350328863101498331e-03, 6.461806218342813941e-03, 9.337863455345842695e-03,
	1.198310346409471074e-02, 1.440247641080375819e-02, 1.660125921427981280e-02, 1.858503468321714980e-02,
	2.035967037326144244e-02, 2.193129722247495056e-02, 2.330628802347053594e-02, 2.449123578997222314e-02,
	2.549293207489373297e-02, 2.631834529621684959e-02, 2.697459912600155829e-02, 2.746895099676937430e-02,
	2.780877077828078359e-02, 2.800151967637884431e-02, 2.805472940409954943e-02, 2.797598167366384739e-02,
	2.777288805626721910e-02, 2.745307025478293042e-02, 2.702414083259563338e-02, 2.649368443979239693e-02,
	2.586923957586502801e-02, 2.515828092592677437e-02, 2.436820230522675906e-02, 2.350630024446240945e-02,
	2.257975824605283968e-02, 2.159563173915068912e-02, 2.056083375874448449e-02, 1.948212137174597930e-02,
	1.836608287047301891e-02, 1.721912575143924595e-02, 1.604746549484995649e-02, 1.485711515769077770e-02,
	1.365387579078745396e-02, 1.244332768771695338e-02, 1.123082247097366773e-02, 1.002147601834123269e-02,
	8.820162230001177273e-03, 7.631507634530486361e-03, 6.459886829603163697e-03, 5.309418750929982035e-03,
	4.183963760744797630e-03, 3.087121544982383836e-03, 2.022229806201048148e-03, 9.923637372837323424e-04,
	3.362590087872507610e-07, -9.513009972738021430e-04, -1.860255982396226328e-03, -2.724493819771388933e-03,
	-3.542233717233159249e-03, -4.311945225603512621e-03, -5.032343870653735625e-03, -5.702386186409919011e-03,
	-6.321264178928198696e-03, -6.888399250731210011e-03, -7.403435617058454557e-03, -7.866233245929400361e-03,
	-8.276860354756325477e-03, -8.635585496870153838e-03, -8.942869271836061465e-03, -9.199355693838612638e-03,
	-9.405863252709357331e-03, -9.563375702351037400e-03, -9.673032611387005070e-03, -9.736119710831808022e-03,
	-9.754059073439845171e-03, -9.728399159148424027e-03, -9.660804760689966145e-03, -9.553046883008396370e-03,
	-9.406992589581098657e-03, -9.224594848121719579e-03, -9.007882407426009638e-03, -8.758949736324453048e-03,
	-8.479947054827158270e-03, -8.173070486592225875e-03, -7.840552360821295350e-03, -7.484651690592414135e-03,
	-7.107644853482626354e-03, -6.711816499117106809e-03, -6.299450707012693891e-03, -5.872822416766181226e-03,
	-5.434189151275972511e-03, -4.985783052286746689e-03, -4.529803246113349099e-03, -4.068408555938784511e-03,
	-3.603710575596331869e-03, -3.137767118244720512e-03, -2.672576051828062533e-03, -2.210069531690153112e-03,
	-1.752108639186909398e-03, -1.300478433616307234e-03, -8.568834232677739271e-04, -4.229434598897815903e-04,
	-1.900593832358028364e-07, 4.099368499382796552e-04, 8.060917516227311674e-04, 1.187025939403796478e-03,
	1.551589492469313079e-03, 1.898732831910291503e-03, 2.227507863888385838e-03, 2.537068716315400187e-03,
	2.826672077047463587e-03, 3.095677142753055708e-03, 3.343545188717922216e-03, 3.569838770897127041e-03,
	3.774220572511344761e-03, 3.956451908412099601e-03, 4.116390901303888447e-03, 4.253990344709691375e-03,
	4.369295268298792508e-03, 4.462440221861094410e-03, 4.533646294807957243e-03, 4.583217888607013166e-03,
	4.611539260015793187e-03, 4.619070853366329284e-03, 4.606345440470235343e-03, 4.573964086961633882e-03,
	4.522591964073326663e-03, 4.452954024951411884e-03, 4.365830564655405997e-03, 4.262052682966127777e-03,
	4.142497669033530158e-03, 4.008084326742814528e-03, 3.859768259460998226e-03, 3.698537132549940647e-03,
	3.525405931697330516e-03, 3.341412234726898710e-03, 3.147611514104867864e-03, 2.945072486864876073e-03,
	2.734872528130168675e-03, 2.518093163822523149e-03, 2.295815657515722953e-03, 2.069116705719896768e-03,
	1.839064255174424622e-03, 1.606713454985107814e-03, 1.373102755669571148e-03, 1.139250166374730904e-03,
	9.061496807071534867e-04, 6.747678807736505729e-04, 4.460407281680368592e-04, 2.208705497650993482e-04,
	1.232252981576898894e-07, -2.153744171968115500e-04, -4.248369928834821877e-04, -6.275227342843667493e-04,
	-8.227354447016149448e-04, -1.009826228393920439e-03, -1.188194995883951532e-03, -1.357291743639731877e-03,
	-1.516617608227482320e-03, -1.665725695871127275e-03, -1.804221689169753116e-03, -1.931764233519830953e-03,
	-2.048065106558019741e-03, -2.152889174683249481e-03, -2.246054141429317842e-03, -2.327430093141364103e-03,
	-2.396938848057333059e-03, -2.454553115509106563e-03, -2.500295472534516759e-03, -2.534237165729987841e-03,
	-2.556496746672830885e-03, -2.567238549701184643e-03, -2.566671021257086772e-03, -2.555044910373570170e-03,
}