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1 //---------------------------------------------------------------------------
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2
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3 #include "hsedit.h"
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4 #include "splines.h"
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5
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Chris@5
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6 /** \file hsedit.h */
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Chris@5
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7
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8 //---------------------------------------------------------------------------
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9
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Chris@5
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10 /**
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11 function DeFM: frequency de-modulation
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12
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13 In: peakfr[npfr]: segmentation into FM cycles, peakfr[0]=0, peakfr[npfr-1]=Fr-1
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14 a1[Fr], f1[Fr]: sequence of amplitudes and frequencies
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15 arec[Fr]: amplitude-based weights for frequency averaging
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16 Out: a2[Fr], f2[Fr]: amplitude and frequency sequance after demodulation
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17
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18 No return value.
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19 */
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20 void DeFM(double* a2, double* f2, double* a1, double* f1, double* arec, int npfr, int* peakfr)
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21 {
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22 double *frs=new double[npfr*12], *a=&frs[npfr], *f=&frs[npfr*2],
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23 *aa=&frs[npfr*3], *ab=&frs[npfr*4], *ac=&frs[npfr*5], *ad=&frs[npfr*6],
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24 *fa=&frs[npfr*7], *fb=&frs[npfr*8], *fc=&frs[npfr*9], *fd=&frs[npfr*10];
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25 a[0]=a1[0], f[0]=f1[0], frs[0]=peakfr[0];
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26 for (int i=1; i<npfr-1; i++)
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27 {
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28 a[i]=f[i]=frs[i]=0; double lrec=0;
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29 for (int fr=peakfr[i-1]; fr<peakfr[i+1]; fr++)
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30 a[i]+=a1[fr]*a1[fr], f[i]+=f1[fr]*arec[fr], frs[i]+=fr*arec[fr], lrec+=arec[fr];
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31 a[i]=sqrt(a[i]/(peakfr[i+1]-peakfr[i-1])), f[i]/=lrec, frs[i]/=lrec;
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32 }
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33 a[npfr-1]=a1[peakfr[npfr-1]], f[npfr-1]=f1[peakfr[npfr-1]], frs[npfr-1]=peakfr[npfr-1];
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34 CubicSpline(npfr-1, aa, ab, ac, ad, frs, a, 1, 1, a2);
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35 CubicSpline(npfr-1, fa, fb, fc, fd, frs, f, 1, 1, f2);
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36 delete[] frs;
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37 }//DeFM
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38
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39 /**
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40 function DFMSeg: segments HS frames into FM cycles
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41
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42 In: partials[M][Fr]: HS partials
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43 Out: peakfr[npfr]: segmentation, peakfr[0]=0, peakfr[npfr-1]=Fr-1.
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44 arec[Fr]: total amplitudes of frames
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45
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46 No return value.
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47 */
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48 void DFMSeg(double* arec, int& npfr, int* peakfr, int M, int Fr, atom** partials)
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49 {
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50 double *frec=new double[Fr];
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51 memset(arec, 0, sizeof(double)*Fr); memset(frec, 0, sizeof(double)*Fr);
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52 for (int m=0; m<M; m++) for (int fr=0; fr<Fr; fr++) {double la=partials[m][fr].a; la=la*la; arec[fr]+=la; frec[fr]+=partials[m][fr].f/(m+1)*la;}
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53 for (int fr=0; fr<Fr; fr++) frec[fr]=frec[fr]/arec[fr];
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54 peakfr[0]=0; npfr=1;
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55 for (int fr=1; fr<Fr-1; fr++)
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56 {
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57 if ((frec[fr]<frec[fr-1] && frec[fr]<frec[fr+1]) || (frec[fr]>frec[fr-1] && frec[fr]>frec[fr+1]))
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58 {
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59 peakfr[npfr]=fr;
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60 if (peakfr[npfr]-peakfr[npfr-1]>2) npfr++;
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61 }
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62 }
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63 peakfr[npfr++]=Fr-1;
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64 delete[] frec;
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65 }//DFMSeg
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66
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67 /**
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68 function HSAM: harmonic sinusoid amplitude modulation
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69
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70 In: SrcHS: source harmonic sinusoid
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71 dep: modulation depth
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72 fre: modulator frequency
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73 ph: modulator phase
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74 Out: HS: destination harmonic sinusoid
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75
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76 No reutrn value.
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77 */
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78 void HSAM(THS* HS, THS* SrcHS, double dep, double fre, double ph)
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79 {
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80 double omg=M_PI*2*fre;
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81 for (int m=0; m<HS->M; m++)
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82 for (int fr=0; fr<HS->Fr; fr++)
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83 HS->Partials[m][fr].a=SrcHS->Partials[m][fr].a*(1+dep*cos(omg*SrcHS->Partials[m][fr].t+ph));
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84 }//HSAM
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85
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86 /**
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87 function HSFM: harmonic sinusoid frequency modulation
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88
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89 In: SrcHS: source harmonic sinusoid
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90 a: modulation extent, in semitones
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91 fre: modulator frequency
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92 ph: modulator phase
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93 Out: HS: destination harmonic sinusoid
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94
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95 No reutrn value.
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96 */
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97 void HSFM(THS* HS, THS* SrcHS, double a, double freq, double ph)
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98 {
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99 double omg=M_PI*2*freq, pa=pow(2, a/12.0)-1;
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100 for (int m=0; m<HS->M; m++)
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101 for (int fr=0; fr<HS->Fr; fr++)
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102 HS->Partials[m][fr].f=SrcHS->Partials[m][fr].f*(1+pa*cos(omg*SrcHS->Partials[m][fr].t+ph));
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103 }//HSFM
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104
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105 /**
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106 function HSFM_SF: harmonic sinusoid frequency modulation with source-filter model
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107
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108 In: SrcHS: source harmonic sinusoid
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109 a: modulation extent, in semitones
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110 fre: modulator frequency
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111 ph: modulator phase
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112 SF: source-filter model
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113 Out: HS: destination harmonic sinusoid
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114
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115 No reutrn value.
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116 */
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117 void HSFM_SF(THS* HS, THS* SrcHS, double a, double freq, double ph, TSF* SF)
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118 {
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119 double omg=M_PI*2*freq, pa=pow(2, a/12.0)-1;
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120 for (int m=0; m<HS->M; m++) for (int fr=0; fr<HS->Fr; fr++)
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121 {
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122 double f0=SrcHS->Partials[m][fr].f;
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123 double f1=f0*(1+pa*cos(omg*SrcHS->Partials[m][fr].t+ph));
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124 HS->Partials[m][fr].f=f1;
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125 HS->Partials[m][fr].a=SrcHS->Partials[m][fr].a*exp(SF->LogAF(f1)-SF->LogAF(f0));
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126 }
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127 }//HSFM_SF
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128
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129 /**
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130 function: HSPitchShift: harmonic sinusoid pitch shifting
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131
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132 In: SrcHS: source harmonic sinusoid
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133 ps12: amount of pitch shift, in semitones
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134 Out: HS: destination harmonic sinusoid
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135
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136 No return value.
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137 */
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138 void HSPitchShift(THS* HS, THS* SrcHS, double ps12)
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139 {
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140 double pa=pow(2, ps12/12.0);
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141 for (int m=0; m<HS->M; m++) for (int fr=0; fr<HS->Fr; fr++) HS->Partials[m][fr].f=SrcHS->Partials[m][fr].f*pa;
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142 }//HSPitchShift
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143
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144 /**
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145 function ReFM: frequency re-modulation
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146
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147 In: partials[M][Fr]: HS partials
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148 amount: relative modulation depth after remodulation
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149 rate: relateive modulation rate after remodulation
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150 SF: a source-filter model, optional
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151 Out: partials2[M][Fr]: remodulated HS partials. Must be allocated before calling.
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152
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153 No return value.
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154 */
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155 void ReFM(int M, int Fr, atom** partials, atom** partials2, double amount, double rate, TSF* SF)
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156 {
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157 double *arec=new double[Fr]; int *peakfr=new int[Fr], npfr;
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158 DFMSeg(arec, npfr, peakfr, M, Fr, partials);
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159
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160 double *a1=new double[Fr*8];
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161 double *f1=&a1[Fr], *a2=&a1[Fr*3], *f2=&a1[Fr*4], *da=&a1[Fr*5], *df=&a1[Fr*6];
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162
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163 for (int m=0; m<M; m++)
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164 {
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165 atom *part=partials[m], *part2=partials2[m]; bool fzero=false;
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166 for (int fr=0; fr<Fr; fr++)
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167 {
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168 if (part[fr].f<=0){fzero=true; break;}
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169 a1[fr]=part[fr].a*2;
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170 f1[fr]=part[fr].f;
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171 }
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172 if (fzero){part2[0].f=0; break;}
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173 DeFM(a2, f2, a1, f1, arec, npfr, peakfr);
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174 for (int i=0; i<Fr; i++) da[i]=a1[i]-a2[i], df[i]=f1[i]-f2[i];
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175 for (int fr=0; fr<Fr; fr++)
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176 {
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177 double frd=fr/rate; int dfrd=floor(frd); frd-=dfrd;
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178 double lda=0, ldf=0;
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179 if (dfrd<Fr-1) lda=da[dfrd]*(1-frd)+da[dfrd+1]*frd, ldf=df[dfrd]*(1-frd)+df[dfrd+1]*frd;
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180 else if (dfrd==Fr-1) lda=da[dfrd]*(1-frd), ldf=df[dfrd]*(1-frd);
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181 part2[fr].f=f2[fr]=f2[fr]+ldf*amount;
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182 if (SF) part2[fr].a=part[fr].a*exp(SF->LogAF(part2[fr].f)-SF->LogAF(part[fr].f));
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183 else part2[fr].a=(a2[fr]+lda*amount)*0.5;
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184 }
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185 }
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186 delete[] a1;
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187 delete[] arec; delete[] peakfr;
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188 }//ReFM
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189
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190
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191
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192
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