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