80 /*
81 *
82 * |cos(x) - (1+q1*x^2+...+ q8*x^16)| <= 2^-117.11 for |x|<= 0.15625
83 */
84 q1 = -4.999999999999999999999999999999756416975e-0001L,
85 q2 = 4.166666666666666666666666664006066577258e-0002L,
86 q3 = -1.388888888888888888888877700363937169637e-0003L,
87 q4 = 2.480158730158730158494468463031814083559e-0005L,
88 q5 = -2.755731922398586276322819250356005542871e-0007L,
89 q6 = 2.087675698767424261441959760729854017855e-0009L,
90 q7 = -1.147074481239662089072452129010790774761e-0011L,
91 q8 = 4.777761647399651599730663422263531034782e-0014L;
92 /* INDENT ON */
93 long double
94 __k_sincosl(long double x, long double y, long double *c) {
95 long double a1, a2, t, t1, t2, z, w;
96 int *pt = (int *) &t, *px = (int *) &x;
97 int i, j, hx, ix;
98
99 t = 1.0;
100 #if defined(_BIG_ENDIAN)
101 hx = px[0];
102 #else
103 XTOI(px, hx);
104 #endif
105 ix = hx & 0x7fffffff;
106 if (ix < 0x3ffc4000) {
107 if (ix < 0x3fc60000)
108 if (((int) x) == 0) {
109 *c = one;
110 return (x);
111 } /* generate inexact */
112 z = x * x;
113
114 if (ix < 0x3ff80000) {
115 *c = one + z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 +
116 z * qq5))));
117 t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 +
118 z * p6)))));
119 } else {
120 *c = one + z * (q1 + z * (q2 + z * (q3 + z * (q4 + z *
121 (q5 + z * (q6 + z * (q7 + z * q8)))))));
122 t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 +
123 z * (p6 + z * (p7 + z * p8)))))));
124 }
125
126 t = y + x * t;
127 return (x + t);
128 }
129 j = (ix + 0x400) & 0x7ffff800;
130 i = (j - 0x3ffc4000) >> 11;
131 #if defined(_BIG_ENDIAN)
132 pt[0] = j;
133 #else
134 ITOX(j, pt);
135 #endif
136 if (hx > 0)
137 x = y - (t - x);
138 else
139 x = (-y) - (t + x);
140 a1 = _TBL_sinl_hi[i];
141 z = x * x;
142 t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
143 w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
144 pp5)))));
145 a2 = _TBL_cosl_hi[i];
146 t2 = _TBL_cosl_lo[i] - (a1 * w - a2 * t);
147 *c = a2 + t2;
148 t1 = a2 * w + a1 * t;
149 t1 += _TBL_sinl_lo[i];
150 if (hx < 0)
151 return (-a1 - t1);
152 else
153 return (a1 + t1);
154 }
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80 /*
81 *
82 * |cos(x) - (1+q1*x^2+...+ q8*x^16)| <= 2^-117.11 for |x|<= 0.15625
83 */
84 q1 = -4.999999999999999999999999999999756416975e-0001L,
85 q2 = 4.166666666666666666666666664006066577258e-0002L,
86 q3 = -1.388888888888888888888877700363937169637e-0003L,
87 q4 = 2.480158730158730158494468463031814083559e-0005L,
88 q5 = -2.755731922398586276322819250356005542871e-0007L,
89 q6 = 2.087675698767424261441959760729854017855e-0009L,
90 q7 = -1.147074481239662089072452129010790774761e-0011L,
91 q8 = 4.777761647399651599730663422263531034782e-0014L;
92 /* INDENT ON */
93 long double
94 __k_sincosl(long double x, long double y, long double *c) {
95 long double a1, a2, t, t1, t2, z, w;
96 int *pt = (int *) &t, *px = (int *) &x;
97 int i, j, hx, ix;
98
99 t = 1.0;
100 #if defined(__i386) || defined(__amd64)
101 XTOI(px, hx);
102 #else
103 hx = px[0];
104 #endif
105 ix = hx & 0x7fffffff;
106 if (ix < 0x3ffc4000) {
107 if (ix < 0x3fc60000)
108 if (((int) x) == 0) {
109 *c = one;
110 return (x);
111 } /* generate inexact */
112 z = x * x;
113
114 if (ix < 0x3ff80000) {
115 *c = one + z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 +
116 z * qq5))));
117 t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 +
118 z * p6)))));
119 } else {
120 *c = one + z * (q1 + z * (q2 + z * (q3 + z * (q4 + z *
121 (q5 + z * (q6 + z * (q7 + z * q8)))))));
122 t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 +
123 z * (p6 + z * (p7 + z * p8)))))));
124 }
125
126 t = y + x * t;
127 return (x + t);
128 }
129 j = (ix + 0x400) & 0x7ffff800;
130 i = (j - 0x3ffc4000) >> 11;
131 #if defined(__i386) || defined(__amd64)
132 ITOX(j, pt);
133 #else
134 pt[0] = j;
135 #endif
136 if (hx > 0)
137 x = y - (t - x);
138 else
139 x = (-y) - (t + x);
140 a1 = _TBL_sinl_hi[i];
141 z = x * x;
142 t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
143 w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
144 pp5)))));
145 a2 = _TBL_cosl_hi[i];
146 t2 = _TBL_cosl_lo[i] - (a1 * w - a2 * t);
147 *c = a2 + t2;
148 t1 = a2 * w + a1 * t;
149 t1 += _TBL_sinl_lo[i];
150 if (hx < 0)
151 return (-a1 - t1);
152 else
153 return (a1 + t1);
154 }
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