lsf.cxx

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//A.40 lsf.c        /******************************************************************            iLBC Speech Coder ANSI-C Source Code            lsf.c             Copyright (c) 2001,        Global IP Sound AB.        All rights reserved.        ******************************************************************/        #include <string.h>    #include <math.h>     #include"iLBC_define.h"       /*----------------------------------------------------------------*     *  conversion from lpc coefficients to lsf coefficients      *---------------------------------------------------------------*/        void a2lsf(         float *freq,/* (o) lsf coefficients */        float *a    /* (i) lpc coefficients */    ){        float steps[LSF_NUMBER_OF_STEPS] =             {(float)0.00635, (float)0.003175, (float)0.0015875,             (float)0.00079375};        float step;        int step_idx;        int lsp_index;          float p[LPC_HALFORDER];        float q[LPC_HALFORDER];        float p_pre[LPC_HALFORDER];        float q_pre[LPC_HALFORDER];        float old_p, old_q, *old;        float *pq_coef;         float omega, old_omega;        int i;             float hlp, hlp1, hlp2, hlp3, hlp4, hlp5;            for (i = 0; i < LPC_HALFORDER; i++){            p[i] = (float)-1.0 * (a[i + 1] + a[LPC_FILTERORDER - i]);            q[i] = a[LPC_FILTERORDER - i] - a[i + 1];        }                p_pre[0] = (float)-1.0 - p[0];        p_pre[1] = - p_pre[0] - p[1];        p_pre[2] = - p_pre[1] - p[2];        p_pre[3] = - p_pre[2] - p[3];        p_pre[4] = - p_pre[3] - p[4];        p_pre[4] = p_pre[4] / 2;                q_pre[0] = (float)1.0 - q[0];        q_pre[1] = q_pre[0] - q[1];        q_pre[2] = q_pre[1] - q[2];        q_pre[3] = q_pre[2] - q[3];        q_pre[4] = q_pre[3] - q[4];        q_pre[4] = q_pre[4] / 2;                omega = 0.0;        old_omega = 0.0;            old_p = FLOAT_MAX;        old_q = FLOAT_MAX;                /* Here we loop through lsp_index to find all the            LPC_FILTERORDER roots for omega. */              for (lsp_index = 0; lsp_index < LPC_FILTERORDER; lsp_index++){                        /* Depending on lsp_index being even or odd, we             alternatively solve the roots for the two LSP equations. */                            if ((lsp_index & 0x1) == 0) {                pq_coef = p_pre;                old = &old_p;            } else {                pq_coef = q_pre;                old = &old_q;            }                        /* Start with low resolution grid */                for (step_idx = 0, step = steps[step_idx];                 step_idx < LSF_NUMBER_OF_STEPS;){                                /*  cos(10piw) + pq(0)cos(8piw) + pq(1)cos(6piw) +                 pq(2)cos(4piw) + pq(3)cod(2piw) + pq(4) */                    hlp = (float)cos(omega * TWO_PI);                     hlp1 = (float)2.0 * hlp + pq_coef[0];                hlp2 = (float)2.0 * hlp * hlp1 - (float)1.0 +                     pq_coef[1];                hlp3 = (float)2.0 * hlp * hlp2 - hlp1 + pq_coef[2];                hlp4 = (float)2.0 * hlp * hlp3 - hlp2 + pq_coef[3];                hlp5 = hlp * hlp4 - hlp3 + pq_coef[4];                                                if (((hlp5 * (*old)) <= 0.0) || (omega >= 0.5)){                                        if (step_idx == (LSF_NUMBER_OF_STEPS - 1)){                                                if (fabs(hlp5) >= fabs(*old)) {                            freq[lsp_index] = omega - step;                        } else {                            freq[lsp_index] = omega;                        }                                                                           if ((*old) >= 0.0){                            *old = (float)-1.0 * FLOAT_MAX;                        } else {                            *old = FLOAT_MAX;                        }                            omega = old_omega;                        step_idx = 0;                                                step_idx = LSF_NUMBER_OF_STEPS;                    } else {                                                if (step_idx == 0) {                            old_omega = omega;                        }                            step_idx++;                        omega -= steps[step_idx];                            /* Go back one grid step */                            step = steps[step_idx];                    }                } else {                                    /* increment omega until they are of different sign,                 and we know there is at least one root between omega                 and old_omega */                    *old = hlp5;                    omega += step;                }            }        }                 for (i = 0; i < LPC_FILTERORDER; i++) {            freq[i] = freq[i] * TWO_PI;        }    }        /*----------------------------------------------------------------*     *  conversion from lsf coefficients to lpc coefficients      *---------------------------------------------------------------*/        void lsf2a(         float *a_coef,  /* (o) lpc coefficients */        float *freq     /* (i) lsf coefficients */    ){        int i, j;        float hlp;        float p[LPC_HALFORDER], q[LPC_HALFORDER];        float a[LPC_HALFORDER + 1], a1[LPC_HALFORDER], a2[LPC_HALFORDER];        float b[LPC_HALFORDER + 1], b1[LPC_HALFORDER], b2[LPC_HALFORDER];            for (i = 0; i < LPC_FILTERORDER; i++) {            freq[i] = freq[i] * PI2;        }            /* Check input for ill-conditioned cases.  This part is not         found in the TIA standard.  It involves the following 2 IF         blocks. If "freq" is judged ill-conditioned, then we first         modify freq[0] and freq[LPC_HALFORDER-1] (normally         LPC_HALFORDER = 10 for LPC applications), then we adjust         the other "freq" values slightly */                    if ((freq[0] <= 0.0) || (freq[LPC_FILTERORDER - 1] >= 0.5)){                            if (freq[0] <= 0.0) {                freq[0] = (float)0.022;            }                            if (freq[LPC_FILTERORDER - 1] >= 0.5) {                freq[LPC_FILTERORDER - 1] = (float)0.499;            }                hlp = (freq[LPC_FILTERORDER - 1] - freq[0]) /                 (float) (LPC_FILTERORDER - 1);                for (i = 1; i < LPC_FILTERORDER; i++) {                freq[i] = freq[i - 1] + hlp;            }        }                memset(a1, 0, LPC_HALFORDER*sizeof(float));        memset(a2, 0, LPC_HALFORDER*sizeof(float));             memset(b1, 0, LPC_HALFORDER*sizeof(float));        memset(b2, 0, LPC_HALFORDER*sizeof(float));        memset(a, 0, (LPC_HALFORDER+1)*sizeof(float));        memset(b, 0, (LPC_HALFORDER+1)*sizeof(float));                    /* p[i] and q[i] compute cos(2*pi*omega_{2j}) and         cos(2*pi*omega_{2j-1} in eqs. 4.2.2.2-1 and 4.2.2.2-2.          Note that for this code p[i] specifies the coefficients         used in .Q_A(z) while q[i] specifies the coefficients used         in .P_A(z) */            for (i = 0; i < LPC_HALFORDER; i++){            p[i] = (float)cos(TWO_PI * freq[2 * i]);            q[i] = (float)cos(TWO_PI * freq[2 * i + 1]);        }                a[0] = 0.25;        b[0] = 0.25;                for (i = 0; i < LPC_HALFORDER; i++){            a[i + 1] = a[i] - 2 * p[i] * a1[i] + a2[i];            b[i + 1] = b[i] - 2 * q[i] * b1[i] + b2[i];            a2[i] = a1[i];            a1[i] = a[i];            b2[i] = b1[i];            b1[i] = b[i];        }                for (j = 0; j < LPC_FILTERORDER; j++){                        if (j == 0) {                a[0] = 0.25;                b[0] = -0.25;            } else {                a[0] = b[0] = 0.0;            }                        for (i = 0; i < LPC_HALFORDER; i++){                a[i + 1] = a[i] - 2 * p[i] * a1[i] + a2[i];                b[i + 1] = b[i] - 2 * q[i] * b1[i] + b2[i];                a2[i] = a1[i];                a1[i] = a[i];                b2[i] = b1[i];                b1[i] = b[i];            }                a_coef[j + 1] = 2 * (a[LPC_HALFORDER] + b[LPC_HALFORDER]);        }            a_coef[0] = 1.0;    }              

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