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