/* Fast Artificial Neural Network Library (fann) Copyright (C) 2003-2012 Steffen Nissen (sn@leenissen.dk) This library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this library; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ #ifndef __fann_activation_h__ #define __fann_activation_h__ /* internal include file, not to be included directly */ /* Implementation of the activation functions */ /* stepwise linear functions used for some of the activation functions */ /* defines used for the stepwise linear functions */ #define fann_linear_func(v1, r1, v2, r2, sum) (((((r2)-(r1)) * ((sum)-(v1)))/((v2)-(v1))) + (r1)) #define fann_stepwise(v1, v2, v3, v4, v5, v6, r1, r2, r3, r4, r5, r6, min, max, sum) (sum < v5 ? (sum < v3 ? (sum < v2 ? (sum < v1 ? min : fann_linear_func(v1, r1, v2, r2, sum)) : fann_linear_func(v2, r2, v3, r3, sum)) : (sum < v4 ? fann_linear_func(v3, r3, v4, r4, sum) : fann_linear_func(v4, r4, v5, r5, sum))) : (sum < v6 ? fann_linear_func(v5, r5, v6, r6, sum) : max)) /* FANN_LINEAR */ /* #define fann_linear(steepness, sum) fann_mult(steepness, sum) */ #define fann_linear_derive(steepness, value) (steepness) /* FANN_SIGMOID */ /* #define fann_sigmoid(steepness, sum) (1.0f/(1.0f + exp(-2.0f * steepness * sum))) */ #define fann_sigmoid_real(sum) (1.0f/(1.0f + exp(-2.0f * sum))) #define fann_sigmoid_derive(steepness, value) (2.0f * steepness * value * (1.0f - value)) /* FANN_SIGMOID_SYMMETRIC */ /* #define fann_sigmoid_symmetric(steepness, sum) (2.0f/(1.0f + exp(-2.0f * steepness * sum)) - 1.0f) */ #define fann_sigmoid_symmetric_real(sum) (2.0f/(1.0f + exp(-2.0f * sum)) - 1.0f) #define fann_sigmoid_symmetric_derive(steepness, value) steepness * (1.0f - (value*value)) /* FANN_GAUSSIAN */ /* #define fann_gaussian(steepness, sum) (exp(-sum * steepness * sum * steepness)) */ #define fann_gaussian_real(sum) (exp(-sum * sum)) #define fann_gaussian_derive(steepness, value, sum) (-2.0f * sum * value * steepness * steepness) /* FANN_GAUSSIAN_SYMMETRIC */ /* #define fann_gaussian_symmetric(steepness, sum) ((exp(-sum * steepness * sum * steepness)*2.0)-1.0) */ #define fann_gaussian_symmetric_real(sum) ((exp(-sum * sum)*2.0f)-1.0f) #define fann_gaussian_symmetric_derive(steepness, value, sum) (-2.0f * sum * (value+1.0f) * steepness * steepness) /* FANN_ELLIOT */ /* #define fann_elliot(steepness, sum) (((sum * steepness) / 2.0f) / (1.0f + fann_abs(sum * steepness)) + 0.5f) */ #define fann_elliot_real(sum) (((sum) / 2.0f) / (1.0f + fann_abs(sum)) + 0.5f) #define fann_elliot_derive(steepness, value, sum) (steepness * 1.0f / (2.0f * (1.0f + fann_abs(sum)) * (1.0f + fann_abs(sum)))) /* FANN_ELLIOT_SYMMETRIC */ /* #define fann_elliot_symmetric(steepness, sum) ((sum * steepness) / (1.0f + fann_abs(sum * steepness)))*/ #define fann_elliot_symmetric_real(sum) ((sum) / (1.0f + fann_abs(sum))) #define fann_elliot_symmetric_derive(steepness, value, sum) (steepness * 1.0f / ((1.0f + fann_abs(sum)) * (1.0f + fann_abs(sum)))) /* FANN_SIN_SYMMETRIC */ #define fann_sin_symmetric_real(sum) (sin(sum)) #define fann_sin_symmetric_derive(steepness, sum) (steepness*cos(steepness*sum)) /* FANN_COS_SYMMETRIC */ #define fann_cos_symmetric_real(sum) (cos(sum)) #define fann_cos_symmetric_derive(steepness, sum) (steepness*-sin(steepness*sum)) /* FANN_SIN */ #define fann_sin_real(sum) (sin(sum)/2.0f+0.5f) #define fann_sin_derive(steepness, sum) (steepness*cos(steepness*sum)/2.0f) /* FANN_COS */ #define fann_cos_real(sum) (cos(sum)/2.0f+0.5f) #define fann_cos_derive(steepness, sum) (steepness*-sin(steepness*sum)/2.0f) #define fann_activation_switch(activation_function, value, result) \ switch(activation_function) \ { \ case FANN_LINEAR: \ result = (fann_type)value; \ break; \ case FANN_LINEAR_PIECE: \ result = (fann_type)((value < 0) ? 0 : (value > 1) ? 1 : value); \ break; \ case FANN_LINEAR_PIECE_SYMMETRIC: \ result = (fann_type)((value < -1) ? -1 : (value > 1) ? 1 : value); \ break; \ case FANN_SIGMOID: \ result = (fann_type)fann_sigmoid_real(value); \ break; \ case FANN_SIGMOID_SYMMETRIC: \ result = (fann_type)fann_sigmoid_symmetric_real(value); \ break; \ case FANN_SIGMOID_SYMMETRIC_STEPWISE: \ result = (fann_type)fann_stepwise(-2.64665293693542480469e+00, -1.47221934795379638672e+00, -5.49306154251098632812e-01, 5.49306154251098632812e-01, 1.47221934795379638672e+00, 2.64665293693542480469e+00, -9.90000009536743164062e-01, -8.99999976158142089844e-01, -5.00000000000000000000e-01, 5.00000000000000000000e-01, 8.99999976158142089844e-01, 9.90000009536743164062e-01, -1, 1, value); \ break; \ case FANN_SIGMOID_STEPWISE: \ result = (fann_type)fann_stepwise(-2.64665246009826660156e+00, -1.47221946716308593750e+00, -5.49306154251098632812e-01, 5.49306154251098632812e-01, 1.47221934795379638672e+00, 2.64665293693542480469e+00, 4.99999988824129104614e-03, 5.00000007450580596924e-02, 2.50000000000000000000e-01, 7.50000000000000000000e-01, 9.49999988079071044922e-01, 9.95000004768371582031e-01, 0, 1, value); \ break; \ case FANN_THRESHOLD: \ result = (fann_type)((value < 0) ? 0 : 1); \ break; \ case FANN_THRESHOLD_SYMMETRIC: \ result = (fann_type)((value < 0) ? -1 : 1); \ break; \ case FANN_GAUSSIAN: \ result = (fann_type)fann_gaussian_real(value); \ break; \ case FANN_GAUSSIAN_SYMMETRIC: \ result = (fann_type)fann_gaussian_symmetric_real(value); \ break; \ case FANN_ELLIOT: \ result = (fann_type)fann_elliot_real(value); \ break; \ case FANN_ELLIOT_SYMMETRIC: \ result = (fann_type)fann_elliot_symmetric_real(value); \ break; \ case FANN_SIN_SYMMETRIC: \ result = (fann_type)fann_sin_symmetric_real(value); \ break; \ case FANN_COS_SYMMETRIC: \ result = (fann_type)fann_cos_symmetric_real(value); \ break; \ case FANN_SIN: \ result = (fann_type)fann_sin_real(value); \ break; \ case FANN_COS: \ result = (fann_type)fann_cos_real(value); \ break; \ case FANN_GAUSSIAN_STEPWISE: \ result = 0; \ break; \ } #endif