/* fi_lib: interval library version 1.2, for copyright see fi_lib.h */ # include "fi_lib.h" interval j_tanh(interval x) { interval res; if (x.INF == x.SUP) { if (x.INF < 0) { if (x.INF > -q_minr) { res.INF = x.INF; res.SUP = r_succ(x.INF); } else { res.INF = q_tanh(x.INF); res.SUP = res.INF * q_tnhm; res.INF *= q_tnhp; if (res.INF < x.INF) { res.INF = x.INF; } } } else { if (x.INF < q_minr) { res.SUP = x.INF; if (x.INF == 0) { res.INF = 0; } else { res.INF = r_pred(x.INF); } } else { res.INF = q_tanh(x.INF); res.SUP = res.INF * q_tnhp; res.INF *= q_tnhm; if (res.SUP > x.INF) { res.SUP = x.INF; } } } } else { if (x.INF <= 0) { if (x.INF > -q_minr) { /* includes the case x.INF=0 */ res.INF = x.INF; } else { res.INF = q_tanh(x.INF) * q_tnhp; if (res.INF < x.INF) { res.INF = x.INF; } } } else { /* now x.INF>0 */ if (x.INF < q_minr) { res.INF = r_pred(x.INF); } else { res.INF = q_tanh(x.INF) * q_tnhm; } } if (x.SUP < 0) { if (x.SUP > -q_minr) { res.SUP = r_succ(x.SUP); } else { res.SUP = q_tanh(x.SUP) * q_tnhm; } } else { /* now x.SUP >= 0 */ if (x.SUP < q_minr) { /* includes the case x.SUP=0 */ res.SUP = x.SUP; } else { res.SUP = q_tanh(x.SUP) * q_tnhp; if (res.SUP > x.SUP) { res.SUP = x.SUP; } } } } if (res.SUP > 1.0) { res.SUP = 1.0; } if (res.INF < -1.0) { res.INF = -1.0; } return res; }