1 // Copyright 2014 Emilie Gillet. 2 // 3 // Author: Emilie Gillet (emilie.o.gillet@gmail.com) 4 // 5 // Permission is hereby granted, free of charge, to any person obtaining a copy 6 // of this software and associated documentation files (the "Software"), to deal 7 // in the Software without restriction, including without limitation the rights 8 // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 // copies of the Software, and to permit persons to whom the Software is 10 // furnished to do so, subject to the following conditions: 11 // 12 // The above copyright notice and this permission notice shall be included in 13 // all copies or substantial portions of the Software. 14 // 15 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 21 // THE SOFTWARE. 22 // 23 // See http://creativecommons.org/licenses/MIT/ for more information. 24 // 25 // ----------------------------------------------------------------------------- 26 // 27 // Conversion from semitones to frequency ratio. 28 29 #include "stmlib/dsp/units.h" 30 31 namespace stmlib { 32 33 /* extern */ 34 const float lut_pitch_ratio_high[] = { 35 6.151958251e-04, 6.517772725e-04, 6.905339660e-04, 7.315952524e-04, 36 7.750981699e-04, 8.211879055e-04, 8.700182794e-04, 9.217522585e-04, 37 9.765625000e-04, 1.034631928e-03, 1.096154344e-03, 1.161335073e-03, 38 1.230391650e-03, 1.303554545e-03, 1.381067932e-03, 1.463190505e-03, 39 1.550196340e-03, 1.642375811e-03, 1.740036559e-03, 1.843504517e-03, 40 1.953125000e-03, 2.069263856e-03, 2.192308688e-03, 2.322670146e-03, 41 2.460783301e-03, 2.607109090e-03, 2.762135864e-03, 2.926381010e-03, 42 3.100392680e-03, 3.284751622e-03, 3.480073118e-03, 3.687009034e-03, 43 3.906250000e-03, 4.138527712e-03, 4.384617376e-03, 4.645340293e-03, 44 4.921566601e-03, 5.214218180e-03, 5.524271728e-03, 5.852762019e-03, 45 6.200785359e-03, 6.569503244e-03, 6.960146235e-03, 7.374018068e-03, 46 7.812500000e-03, 8.277055425e-03, 8.769234752e-03, 9.290680586e-03, 47 9.843133202e-03, 1.042843636e-02, 1.104854346e-02, 1.170552404e-02, 48 1.240157072e-02, 1.313900649e-02, 1.392029247e-02, 1.474803614e-02, 49 1.562500000e-02, 1.655411085e-02, 1.753846950e-02, 1.858136117e-02, 50 1.968626640e-02, 2.085687272e-02, 2.209708691e-02, 2.341104808e-02, 51 2.480314144e-02, 2.627801298e-02, 2.784058494e-02, 2.949607227e-02, 52 3.125000000e-02, 3.310822170e-02, 3.507693901e-02, 3.716272234e-02, 53 3.937253281e-02, 4.171374544e-02, 4.419417382e-02, 4.682209615e-02, 54 4.960628287e-02, 5.255602595e-02, 5.568116988e-02, 5.899214454e-02, 55 6.250000000e-02, 6.621644340e-02, 7.015387802e-02, 7.432544469e-02, 56 7.874506562e-02, 8.342749089e-02, 8.838834765e-02, 9.364419230e-02, 57 9.921256575e-02, 1.051120519e-01, 1.113623398e-01, 1.179842891e-01, 58 1.250000000e-01, 1.324328868e-01, 1.403077560e-01, 1.486508894e-01, 59 1.574901312e-01, 1.668549818e-01, 1.767766953e-01, 1.872883846e-01, 60 1.984251315e-01, 2.102241038e-01, 2.227246795e-01, 2.359685782e-01, 61 2.500000000e-01, 2.648657736e-01, 2.806155121e-01, 2.973017788e-01, 62 3.149802625e-01, 3.337099635e-01, 3.535533906e-01, 3.745767692e-01, 63 3.968502630e-01, 4.204482076e-01, 4.454493591e-01, 4.719371563e-01, 64 5.000000000e-01, 5.297315472e-01, 5.612310242e-01, 5.946035575e-01, 65 6.299605249e-01, 6.674199271e-01, 7.071067812e-01, 7.491535384e-01, 66 7.937005260e-01, 8.408964153e-01, 8.908987181e-01, 9.438743127e-01, 67 1.000000000e+00, 1.059463094e+00, 1.122462048e+00, 1.189207115e+00, 68 1.259921050e+00, 1.334839854e+00, 1.414213562e+00, 1.498307077e+00, 69 1.587401052e+00, 1.681792831e+00, 1.781797436e+00, 1.887748625e+00, 70 2.000000000e+00, 2.118926189e+00, 2.244924097e+00, 2.378414230e+00, 71 2.519842100e+00, 2.669679708e+00, 2.828427125e+00, 2.996614154e+00, 72 3.174802104e+00, 3.363585661e+00, 3.563594873e+00, 3.775497251e+00, 73 4.000000000e+00, 4.237852377e+00, 4.489848193e+00, 4.756828460e+00, 74 5.039684200e+00, 5.339359417e+00, 5.656854249e+00, 5.993228308e+00, 75 6.349604208e+00, 6.727171322e+00, 7.127189745e+00, 7.550994501e+00, 76 8.000000000e+00, 8.475704755e+00, 8.979696386e+00, 9.513656920e+00, 77 1.007936840e+01, 1.067871883e+01, 1.131370850e+01, 1.198645662e+01, 78 1.269920842e+01, 1.345434264e+01, 1.425437949e+01, 1.510198900e+01, 79 1.600000000e+01, 1.695140951e+01, 1.795939277e+01, 1.902731384e+01, 80 2.015873680e+01, 2.135743767e+01, 2.262741700e+01, 2.397291323e+01, 81 2.539841683e+01, 2.690868529e+01, 2.850875898e+01, 3.020397801e+01, 82 3.200000000e+01, 3.390281902e+01, 3.591878555e+01, 3.805462768e+01, 83 4.031747360e+01, 4.271487533e+01, 4.525483400e+01, 4.794582646e+01, 84 5.079683366e+01, 5.381737058e+01, 5.701751796e+01, 6.040795601e+01, 85 6.400000000e+01, 6.780563804e+01, 7.183757109e+01, 7.610925536e+01, 86 8.063494719e+01, 8.542975067e+01, 9.050966799e+01, 9.589165292e+01, 87 1.015936673e+02, 1.076347412e+02, 1.140350359e+02, 1.208159120e+02, 88 1.280000000e+02, 1.356112761e+02, 1.436751422e+02, 1.522185107e+02, 89 1.612698944e+02, 1.708595013e+02, 1.810193360e+02, 1.917833058e+02, 90 2.031873347e+02, 2.152694823e+02, 2.280700718e+02, 2.416318240e+02, 91 2.560000000e+02, 2.712225522e+02, 2.873502844e+02, 3.044370214e+02, 92 3.225397888e+02, 3.417190027e+02, 3.620386720e+02, 3.835666117e+02, 93 4.063746693e+02, 4.305389646e+02, 4.561401437e+02, 4.832636481e+02, 94 5.120000000e+02, 5.424451043e+02, 5.747005687e+02, 6.088740429e+02, 95 6.450795775e+02, 6.834380053e+02, 7.240773439e+02, 7.671332234e+02, 96 8.127493386e+02, 8.610779292e+02, 9.122802874e+02, 9.665272962e+02, 97 1.024000000e+03, 1.084890209e+03, 1.149401137e+03, 1.217748086e+03, 98 1.290159155e+03, 1.366876011e+03, 1.448154688e+03, 1.534266447e+03, 99 }; 100 101 /* extern */ 102 const float lut_pitch_ratio_low[] = { 103 1.000000000e+00, 1.000225659e+00, 1.000451370e+00, 1.000677131e+00, 104 1.000902943e+00, 1.001128806e+00, 1.001354720e+00, 1.001580685e+00, 105 1.001806701e+00, 1.002032768e+00, 1.002258886e+00, 1.002485055e+00, 106 1.002711275e+00, 1.002937546e+00, 1.003163868e+00, 1.003390242e+00, 107 1.003616666e+00, 1.003843141e+00, 1.004069668e+00, 1.004296246e+00, 108 1.004522874e+00, 1.004749554e+00, 1.004976285e+00, 1.005203068e+00, 109 1.005429901e+00, 1.005656786e+00, 1.005883722e+00, 1.006110709e+00, 110 1.006337747e+00, 1.006564836e+00, 1.006791977e+00, 1.007019169e+00, 111 1.007246412e+00, 1.007473707e+00, 1.007701053e+00, 1.007928450e+00, 112 1.008155898e+00, 1.008383398e+00, 1.008610949e+00, 1.008838551e+00, 113 1.009066205e+00, 1.009293910e+00, 1.009521667e+00, 1.009749475e+00, 114 1.009977334e+00, 1.010205245e+00, 1.010433207e+00, 1.010661221e+00, 115 1.010889286e+00, 1.011117403e+00, 1.011345571e+00, 1.011573790e+00, 116 1.011802061e+00, 1.012030384e+00, 1.012258758e+00, 1.012487183e+00, 117 1.012715661e+00, 1.012944189e+00, 1.013172770e+00, 1.013401401e+00, 118 1.013630085e+00, 1.013858820e+00, 1.014087607e+00, 1.014316445e+00, 119 1.014545335e+00, 1.014774277e+00, 1.015003270e+00, 1.015232315e+00, 120 1.015461411e+00, 1.015690560e+00, 1.015919760e+00, 1.016149011e+00, 121 1.016378315e+00, 1.016607670e+00, 1.016837077e+00, 1.017066536e+00, 122 1.017296046e+00, 1.017525609e+00, 1.017755223e+00, 1.017984889e+00, 123 1.018214607e+00, 1.018444376e+00, 1.018674198e+00, 1.018904071e+00, 124 1.019133996e+00, 1.019363973e+00, 1.019594002e+00, 1.019824083e+00, 125 1.020054216e+00, 1.020284401e+00, 1.020514637e+00, 1.020744926e+00, 126 1.020975266e+00, 1.021205659e+00, 1.021436104e+00, 1.021666600e+00, 127 1.021897149e+00, 1.022127749e+00, 1.022358402e+00, 1.022589107e+00, 128 1.022819863e+00, 1.023050672e+00, 1.023281533e+00, 1.023512446e+00, 129 1.023743411e+00, 1.023974428e+00, 1.024205498e+00, 1.024436619e+00, 130 1.024667793e+00, 1.024899019e+00, 1.025130297e+00, 1.025361627e+00, 131 1.025593009e+00, 1.025824444e+00, 1.026055931e+00, 1.026287470e+00, 132 1.026519061e+00, 1.026750705e+00, 1.026982401e+00, 1.027214149e+00, 133 1.027445949e+00, 1.027677802e+00, 1.027909707e+00, 1.028141664e+00, 134 1.028373674e+00, 1.028605736e+00, 1.028837851e+00, 1.029070017e+00, 135 1.029302237e+00, 1.029534508e+00, 1.029766832e+00, 1.029999209e+00, 136 1.030231638e+00, 1.030464119e+00, 1.030696653e+00, 1.030929239e+00, 137 1.031161878e+00, 1.031394569e+00, 1.031627313e+00, 1.031860109e+00, 138 1.032092958e+00, 1.032325859e+00, 1.032558813e+00, 1.032791820e+00, 139 1.033024879e+00, 1.033257991e+00, 1.033491155e+00, 1.033724372e+00, 140 1.033957641e+00, 1.034190964e+00, 1.034424338e+00, 1.034657766e+00, 141 1.034891246e+00, 1.035124779e+00, 1.035358364e+00, 1.035592003e+00, 142 1.035825694e+00, 1.036059437e+00, 1.036293234e+00, 1.036527083e+00, 143 1.036760985e+00, 1.036994940e+00, 1.037228947e+00, 1.037463008e+00, 144 1.037697121e+00, 1.037931287e+00, 1.038165506e+00, 1.038399777e+00, 145 1.038634102e+00, 1.038868479e+00, 1.039102910e+00, 1.039337393e+00, 146 1.039571929e+00, 1.039806518e+00, 1.040041160e+00, 1.040275855e+00, 147 1.040510603e+00, 1.040745404e+00, 1.040980258e+00, 1.041215165e+00, 148 1.041450125e+00, 1.041685138e+00, 1.041920204e+00, 1.042155323e+00, 149 1.042390495e+00, 1.042625720e+00, 1.042860998e+00, 1.043096329e+00, 150 1.043331714e+00, 1.043567151e+00, 1.043802642e+00, 1.044038185e+00, 151 1.044273782e+00, 1.044509433e+00, 1.044745136e+00, 1.044980892e+00, 152 1.045216702e+00, 1.045452565e+00, 1.045688481e+00, 1.045924450e+00, 153 1.046160473e+00, 1.046396549e+00, 1.046632678e+00, 1.046868860e+00, 154 1.047105096e+00, 1.047341385e+00, 1.047577727e+00, 1.047814123e+00, 155 1.048050572e+00, 1.048287074e+00, 1.048523630e+00, 1.048760239e+00, 156 1.048996902e+00, 1.049233618e+00, 1.049470387e+00, 1.049707210e+00, 157 1.049944086e+00, 1.050181015e+00, 1.050417999e+00, 1.050655035e+00, 158 1.050892125e+00, 1.051129269e+00, 1.051366466e+00, 1.051603717e+00, 159 1.051841021e+00, 1.052078378e+00, 1.052315790e+00, 1.052553255e+00, 160 1.052790773e+00, 1.053028345e+00, 1.053265971e+00, 1.053503650e+00, 161 1.053741383e+00, 1.053979169e+00, 1.054217010e+00, 1.054454903e+00, 162 1.054692851e+00, 1.054930852e+00, 1.055168907e+00, 1.055407016e+00, 163 1.055645178e+00, 1.055883395e+00, 1.056121664e+00, 1.056359988e+00, 164 1.056598366e+00, 1.056836797e+00, 1.057075282e+00, 1.057313821e+00, 165 1.057552413e+00, 1.057791060e+00, 1.058029760e+00, 1.058268515e+00, 166 1.058507323e+00, 1.058746185e+00, 1.058985101e+00, 1.059224071e+00, 167 }; 168 169 // Original python code 170 // 171 // TABLE_SIZE = 256 172 // 173 // ratio = numpy.arange(0, TABLE_SIZE) - 128 174 // ratio = 2 ** (ratio / 12.0) 175 // semitone = 2 ** (numpy.arange(0, TABLE_SIZE) / 256.0 / 12.0) 176 // 177 // lookup_tables.append(('pitch_ratio_high', ratio)) 178 // lookup_tables.append(('pitch_ratio_low', semitone)) 179 180 } // namespace stmlib 181