FreeCalypso > hg > gsm-codec-lib
annotate libtwamr/az_lsp.c @ 553:ebcf414b7d99
doc/TFO-transform: describe details for FRv1, both modes
author | Mychaela Falconia <falcon@freecalypso.org> |
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date | Mon, 07 Oct 2024 08:24:24 +0000 |
parents | 07f936338de1 |
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rev | line source |
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1 /* |
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2 ******************************************************************************** |
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3 * |
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4 * GSM AMR-NB speech codec R98 Version 7.6.0 December 12, 2001 |
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5 * R99 Version 3.3.0 |
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6 * REL-4 Version 4.1.0 |
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7 * |
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8 ******************************************************************************** |
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9 * |
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10 * File : az_lsp.c |
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11 * Purpose : Compute the LSPs from the LP coefficients |
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12 * |
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13 ******************************************************************************** |
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14 */ |
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15 /* |
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16 ******************************************************************************** |
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17 * MODULE INCLUDE FILE AND VERSION ID |
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18 ******************************************************************************** |
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19 */ |
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20 #include "namespace.h" |
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21 #include "az_lsp.h" |
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22 /* |
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23 ******************************************************************************** |
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24 * INCLUDE FILES |
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25 ******************************************************************************** |
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26 */ |
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27 #include "typedef.h" |
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28 #include "basic_op.h" |
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29 #include "oper_32b.h" |
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30 #include "no_count.h" |
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31 #include "cnst.h" |
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32 |
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33 /* |
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34 ******************************************************************************** |
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35 * LOCAL VARIABLES AND TABLES |
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36 ******************************************************************************** |
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37 */ |
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38 #include "grid.tab" |
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39 #define NC M/2 /* M = LPC order, NC = M/2 */ |
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40 |
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41 /* |
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42 ******************************************************************************** |
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43 * LOCAL PROGRAM CODE |
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44 ******************************************************************************** |
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45 */ |
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46 /* |
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47 ************************************************************************** |
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48 * |
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49 * Function : Chebps |
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50 * Purpose : Evaluates the Chebyshev polynomial series |
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51 * Description : - The polynomial order is n = m/2 = 5 |
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52 * - The polynomial F(z) (F1(z) or F2(z)) is given by |
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53 * F(w) = 2 exp(-j5w) C(x) |
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54 * where |
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55 * C(x) = T_n(x) + f(1)T_n-1(x) + ... +f(n-1)T_1(x) + f(n)/2 |
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56 * and T_m(x) = cos(mw) is the mth order Chebyshev |
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57 * polynomial ( x=cos(w) ) |
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58 * Returns : C(x) for the input x. |
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59 * |
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60 ************************************************************************** |
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61 */ |
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62 static Word16 Chebps (Word16 x, |
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63 Word16 f[], /* (n) */ |
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64 Word16 n) |
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65 { |
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66 Word16 i, cheb; |
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67 Word16 b0_h, b0_l, b1_h, b1_l, b2_h, b2_l; |
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68 Word32 t0; |
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69 |
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70 b2_h = 256; move16 (); /* b2 = 1.0 */ |
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71 b2_l = 0; move16 (); |
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72 |
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73 t0 = L_mult (x, 512); /* 2*x */ |
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74 t0 = L_mac (t0, f[1], 8192); /* + f[1] */ |
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75 L_Extract (t0, &b1_h, &b1_l); /* b1 = 2*x + f[1] */ |
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76 |
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77 for (i = 2; i < n; i++) |
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78 { |
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79 t0 = Mpy_32_16 (b1_h, b1_l, x); /* t0 = 2.0*x*b1 */ |
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80 t0 = L_shl (t0, 1); |
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81 t0 = L_mac (t0, b2_h, (Word16) 0x8000); /* t0 = 2.0*x*b1 - b2 */ |
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82 t0 = L_msu (t0, b2_l, 1); |
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83 t0 = L_mac (t0, f[i], 8192); /* t0 = 2.0*x*b1 - b2 + f[i] */ |
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84 |
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85 L_Extract (t0, &b0_h, &b0_l); /* b0 = 2.0*x*b1 - b2 + f[i]*/ |
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86 |
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87 b2_l = b1_l; move16 (); /* b2 = b1; */ |
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88 b2_h = b1_h; move16 (); |
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89 b1_l = b0_l; move16 (); /* b1 = b0; */ |
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90 b1_h = b0_h; move16 (); |
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91 } |
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92 |
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93 t0 = Mpy_32_16 (b1_h, b1_l, x); /* t0 = x*b1; */ |
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94 t0 = L_mac (t0, b2_h, (Word16) 0x8000); /* t0 = x*b1 - b2 */ |
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95 t0 = L_msu (t0, b2_l, 1); |
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96 t0 = L_mac (t0, f[i], 4096); /* t0 = x*b1 - b2 + f[i]/2 */ |
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97 |
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98 t0 = L_shl (t0, 6); |
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99 |
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100 cheb = extract_h (t0); |
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101 |
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102 return (cheb); |
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103 } |
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104 |
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105 /* |
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106 ******************************************************************************** |
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107 * PUBLIC PROGRAM CODE |
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108 ******************************************************************************** |
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109 */ |
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110 /* |
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111 ************************************************************************** |
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112 * |
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113 * Function : Az_lsp |
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114 * Purpose : Compute the LSPs from the LP coefficients |
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115 * |
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116 ************************************************************************** |
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117 */ |
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118 void Az_lsp ( |
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119 Word16 a[], /* (i) : predictor coefficients (MP1) */ |
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120 Word16 lsp[], /* (o) : line spectral pairs (M) */ |
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121 Word16 old_lsp[] /* (i) : old lsp[] (in case not found 10 roots) (M) */ |
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122 ) |
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123 { |
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124 Word16 i, j, nf, ip; |
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125 Word16 xlow, ylow, xhigh, yhigh, xmid, ymid, xint; |
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126 Word16 x, y, sign, exp; |
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127 Word16 *coef; |
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128 Word16 f1[M / 2 + 1], f2[M / 2 + 1]; |
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129 Word32 t0; |
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130 |
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131 /*-------------------------------------------------------------* |
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132 * find the sum and diff. pol. F1(z) and F2(z) * |
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133 * F1(z) <--- F1(z)/(1+z**-1) & F2(z) <--- F2(z)/(1-z**-1) * |
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134 * * |
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135 * f1[0] = 1.0; * |
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136 * f2[0] = 1.0; * |
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137 * * |
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138 * for (i = 0; i< NC; i++) * |
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139 * { * |
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140 * f1[i+1] = a[i+1] + a[M-i] - f1[i] ; * |
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141 * f2[i+1] = a[i+1] - a[M-i] + f2[i] ; * |
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142 * } * |
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143 *-------------------------------------------------------------*/ |
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144 |
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145 f1[0] = 1024; move16 (); /* f1[0] = 1.0 */ |
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146 f2[0] = 1024; move16 (); /* f2[0] = 1.0 */ |
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147 |
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148 for (i = 0; i < NC; i++) |
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149 { |
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150 t0 = L_mult (a[i + 1], 8192); /* x = (a[i+1] + a[M-i]) >> 2 */ |
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151 t0 = L_mac (t0, a[M - i], 8192); |
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152 x = extract_h (t0); |
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153 /* f1[i+1] = a[i+1] + a[M-i] - f1[i] */ |
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154 f1[i + 1] = sub (x, f1[i]);move16 (); |
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155 |
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156 t0 = L_mult (a[i + 1], 8192); /* x = (a[i+1] - a[M-i]) >> 2 */ |
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157 t0 = L_msu (t0, a[M - i], 8192); |
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158 x = extract_h (t0); |
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159 /* f2[i+1] = a[i+1] - a[M-i] + f2[i] */ |
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160 f2[i + 1] = add (x, f2[i]);move16 (); |
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161 } |
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162 |
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163 /*-------------------------------------------------------------* |
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164 * find the LSPs using the Chebychev pol. evaluation * |
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165 *-------------------------------------------------------------*/ |
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166 |
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167 nf = 0; move16 (); /* number of found frequencies */ |
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168 ip = 0; move16 (); /* indicator for f1 or f2 */ |
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169 |
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170 coef = f1; move16 (); |
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171 |
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172 xlow = grid[0]; move16 (); |
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173 ylow = Chebps (xlow, coef, NC);move16 (); |
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174 |
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175 j = 0; |
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176 test (); test (); |
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177 /* while ( (nf < M) && (j < grid_points) ) */ |
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178 while ((sub (nf, M) < 0) && (sub (j, grid_points) < 0)) |
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179 { |
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180 j++; |
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181 xhigh = xlow; move16 (); |
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182 yhigh = ylow; move16 (); |
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183 xlow = grid[j]; move16 (); |
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184 ylow = Chebps (xlow, coef, NC); |
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185 move16 (); |
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186 |
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187 test (); |
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188 if (L_mult (ylow, yhigh) <= (Word32) 0L) |
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189 { |
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190 |
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191 /* divide 4 times the interval */ |
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192 |
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193 for (i = 0; i < 4; i++) |
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194 { |
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195 /* xmid = (xlow + xhigh)/2 */ |
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196 xmid = add (shr (xlow, 1), shr (xhigh, 1)); |
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197 ymid = Chebps (xmid, coef, NC); |
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198 move16 (); |
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199 |
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200 test (); |
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201 if (L_mult (ylow, ymid) <= (Word32) 0L) |
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202 { |
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203 yhigh = ymid; move16 (); |
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204 xhigh = xmid; move16 (); |
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205 } |
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206 else |
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207 { |
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208 ylow = ymid; move16 (); |
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209 xlow = xmid; move16 (); |
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210 } |
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211 } |
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212 |
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213 /*-------------------------------------------------------------* |
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214 * Linear interpolation * |
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215 * xint = xlow - ylow*(xhigh-xlow)/(yhigh-ylow); * |
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216 *-------------------------------------------------------------*/ |
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217 |
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218 x = sub (xhigh, xlow); |
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219 y = sub (yhigh, ylow); |
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220 |
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221 test (); |
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222 if (y == 0) |
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223 { |
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224 xint = xlow; move16 (); |
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225 } |
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226 else |
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227 { |
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228 sign = y; move16 (); |
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229 y = abs_s (y); |
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230 exp = norm_s (y); |
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231 y = shl (y, exp); |
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232 y = div_s ((Word16) 16383, y); |
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233 t0 = L_mult (x, y); |
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234 t0 = L_shr (t0, sub (20, exp)); |
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235 y = extract_l (t0); /* y= (xhigh-xlow)/(yhigh-ylow) */ |
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236 |
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237 test (); |
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238 if (sign < 0) |
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239 y = negate (y); |
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240 |
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241 t0 = L_mult (ylow, y); |
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242 t0 = L_shr (t0, 11); |
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243 xint = sub (xlow, extract_l (t0)); /* xint = xlow - ylow*y */ |
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244 } |
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245 |
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246 lsp[nf] = xint; move16 (); |
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247 xlow = xint; move16 (); |
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248 nf++; |
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249 |
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250 test (); |
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251 if (ip == 0) |
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252 { |
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253 ip = 1; move16 (); |
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254 coef = f2; move16 (); |
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255 } |
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256 else |
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257 { |
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258 ip = 0; move16 (); |
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259 coef = f1; move16 (); |
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260 } |
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261 ylow = Chebps (xlow, coef, NC); |
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262 move16 (); |
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263 |
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264 } |
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265 test (); test (); |
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266 } |
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267 |
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268 /* Check if M roots found */ |
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269 |
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270 test (); |
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271 if (sub (nf, M) < 0) |
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272 { |
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273 for (i = 0; i < M; i++) |
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274 { |
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275 lsp[i] = old_lsp[i]; move16 (); |
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276 } |
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277 |
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278 } |
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279 return; |
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280 } |
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281 |