89 q6 = 2.087675698767424261441959760729854017855e-0009L,
90 q7 = -1.147074481239662089072452129010790774761e-0011L,
91 q8 = 4.777761647399651599730663422263531034782e-0014L,
92 /*
93 *
94 * |cos(x) - (1+qq1*x^2+...+ qq5*x^10)| <= 2^-123.84 for |x|<=1/128
95 */
96 qq1 = -4.999999999999999999999999999999378373641e-0001L,
97 qq2 = 4.166666666666666666666665478399327703130e-0002L,
98 qq3 = -1.388888888888888888058211230618051613494e-0003L,
99 qq4 = 2.480158730156105377771585658905303111866e-0005L,
100 qq5 = -2.755728099762526325736488376695157008736e-0007L;
101 /* INDENT ON */
102 long double
103 __k_cosl(long double x, long double y) {
104 long double a, t, z, w;
105 int *pt = (int *) &t, *px = (int *) &x;
106 int i, j, hx, ix;
107
108 t = 1.0;
109 #if defined(_BIG_ENDIAN)
110 hx = px[0];
111 #else
112 XTOI(px, hx);
113 #endif
114 ix = hx & 0x7fffffff;
115 if (ix < 0x3ffc4000) {
116 if (ix < 0x3fc60000)
117 if ((i = (int) x) == 0)
118 return (one); /* generate inexact */
119 z = x * x;
120
121 if (ix < 0x3ff80000) /* 0.0078125 */
122 return (one + z * (qq1 + z * (qq2 + z * (qq3 + z *
123 (qq4 + z * qq5)))));
124 else
125 return (one + z * (q1 + z * (q2 + z * (q3 + z * (q4 +
126 z * (q5 + z * (q6 + z * (q7 + z * q8))))))));
127 }
128 j = (ix + 0x400) & 0x7ffff800;
129 i = (j - 0x3ffc4000) >> 11;
130 #if defined(_BIG_ENDIAN)
131 pt[0] = j;
132 #else
133 ITOX(j, pt);
134 #endif
135 if (hx > 0)
136 x = y - (t - x);
137 else
138 x = (-y) - (t + x);
139 a = _TBL_cosl_hi[i];
140 z = x * x;
141 t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
142 w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
143 pp5)))));
144 t = _TBL_cosl_lo[i] - (_TBL_sinl_hi[i] * w - a * t);
145 return (a + t);
146 }
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89 q6 = 2.087675698767424261441959760729854017855e-0009L,
90 q7 = -1.147074481239662089072452129010790774761e-0011L,
91 q8 = 4.777761647399651599730663422263531034782e-0014L,
92 /*
93 *
94 * |cos(x) - (1+qq1*x^2+...+ qq5*x^10)| <= 2^-123.84 for |x|<=1/128
95 */
96 qq1 = -4.999999999999999999999999999999378373641e-0001L,
97 qq2 = 4.166666666666666666666665478399327703130e-0002L,
98 qq3 = -1.388888888888888888058211230618051613494e-0003L,
99 qq4 = 2.480158730156105377771585658905303111866e-0005L,
100 qq5 = -2.755728099762526325736488376695157008736e-0007L;
101 /* INDENT ON */
102 long double
103 __k_cosl(long double x, long double y) {
104 long double a, t, z, w;
105 int *pt = (int *) &t, *px = (int *) &x;
106 int i, j, hx, ix;
107
108 t = 1.0;
109 #if defined(__i386) || defined(__amd64)
110 XTOI(px, hx);
111 #else
112 hx = px[0];
113 #endif
114 ix = hx & 0x7fffffff;
115 if (ix < 0x3ffc4000) {
116 if (ix < 0x3fc60000)
117 if ((i = (int) x) == 0)
118 return (one); /* generate inexact */
119 z = x * x;
120
121 if (ix < 0x3ff80000) /* 0.0078125 */
122 return (one + z * (qq1 + z * (qq2 + z * (qq3 + z *
123 (qq4 + z * qq5)))));
124 else
125 return (one + z * (q1 + z * (q2 + z * (q3 + z * (q4 +
126 z * (q5 + z * (q6 + z * (q7 + z * q8))))))));
127 }
128 j = (ix + 0x400) & 0x7ffff800;
129 i = (j - 0x3ffc4000) >> 11;
130 #if defined(__i386) || defined(__amd64)
131 ITOX(j, pt);
132 #else
133 pt[0] = j;
134 #endif
135 if (hx > 0)
136 x = y - (t - x);
137 else
138 x = (-y) - (t + x);
139 a = _TBL_cosl_hi[i];
140 z = x * x;
141 t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
142 w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
143 pp5)))));
144 t = _TBL_cosl_lo[i] - (_TBL_sinl_hi[i] * w - a * t);
145 return (a + t);
146 }
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