2015-07-29 18:59:21 +03:00
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/* j/e/rd.c
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2014-06-02 19:03:48 +04:00
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**
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*/
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#include "all.h"
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2018-03-20 20:16:16 +03:00
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#include <softfloat.h>
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2014-09-04 07:10:43 +04:00
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2015-07-29 06:56:02 +03:00
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#define DOUBNAN 0x7ff8000000000000
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2014-06-02 19:03:48 +04:00
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2015-07-29 06:56:02 +03:00
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union doub {
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float64_t d;
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c3_d c;
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};
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2014-06-02 19:03:48 +04:00
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/* functions
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2014-06-02 20:43:26 +04:00
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*/
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2015-07-29 06:56:02 +03:00
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static inline c3_t
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_nan_test(float64_t a)
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{
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return !f64_eq(a, a);
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}
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static inline float64_t
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_nan_unify(float64_t a)
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{
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2015-07-29 23:43:55 +03:00
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if ( _nan_test(a) )
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2015-07-29 06:56:02 +03:00
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{
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*(c3_d*)(&a) = DOUBNAN;
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}
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return a;
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}
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2015-08-04 06:00:09 +03:00
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static inline void
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_set_rounding(c3_w a)
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{
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switch ( a )
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{
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default:
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u3m_bail(c3__fail);
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break;
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case c3__n:
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softfloat_roundingMode = softfloat_round_near_even;
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break;
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case c3__z:
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softfloat_roundingMode = softfloat_round_minMag;
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break;
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case c3__u:
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softfloat_roundingMode = softfloat_round_max;
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break;
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case c3__d:
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softfloat_roundingMode = softfloat_round_min;
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break;
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}
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}
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2015-07-29 06:56:02 +03:00
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/* add
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2014-06-04 23:16:15 +04:00
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*/
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_add(u3_atom a,
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u3_atom b,
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u3_atom r)
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2014-06-04 23:16:15 +04:00
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{
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2015-07-29 06:56:02 +03:00
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union doub c, d, e;
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2015-08-04 06:00:09 +03:00
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_set_rounding(r);
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2015-07-29 06:56:02 +03:00
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c.c = u3r_chub(0, a);
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d.c = u3r_chub(0, b);
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e.d = _nan_unify(f64_add(c.d, d.d));
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2014-06-05 06:46:12 +04:00
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2015-07-29 06:56:02 +03:00
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return u3i_chubs(1, &e.c);
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2014-06-04 23:16:15 +04:00
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}
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-07-29 06:56:02 +03:00
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u3wer_add(u3_noun cor)
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2014-06-04 23:16:15 +04:00
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{
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2015-07-29 06:56:02 +03:00
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u3_noun a, b;
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2014-06-04 23:16:15 +04:00
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2015-07-29 06:56:02 +03:00
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if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
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c3n == u3ud(a) ||
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c3n == u3ud(b) )
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{
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return u3m_bail(c3__exit);
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}
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else {
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2015-08-04 06:00:09 +03:00
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return u3qer_add(a, b, u3x_at(30, cor));
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2015-07-29 06:56:02 +03:00
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}
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}
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/* sub
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*/
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_sub(u3_atom a,
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u3_atom b,
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u3_atom r)
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2015-07-29 06:56:02 +03:00
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{
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union doub c, d, e;
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2015-08-04 06:00:09 +03:00
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_set_rounding(r);
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2015-07-29 06:56:02 +03:00
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c.c = u3r_chub(0, a);
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d.c = u3r_chub(0, b);
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e.d = _nan_unify(f64_sub(c.d, d.d));
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return u3i_chubs(1, &e.c);
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}
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u3_noun
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u3wer_sub(u3_noun cor)
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{
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u3_noun a, b;
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if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
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c3n == u3ud(a) ||
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c3n == u3ud(b) )
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{
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2014-11-06 03:20:01 +03:00
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return u3m_bail(c3__exit);
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2014-06-04 23:16:15 +04:00
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}
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else {
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2015-08-04 06:00:09 +03:00
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return u3qer_sub(a, b, u3x_at(30, cor));
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2014-06-04 23:16:15 +04:00
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}
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}
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2014-06-02 20:43:26 +04:00
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/* mul
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2014-06-02 19:03:48 +04:00
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*/
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_mul(u3_atom a,
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u3_atom b,
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u3_atom r)
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2014-06-02 19:03:48 +04:00
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{
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union doub c, d, e;
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2015-08-04 06:00:09 +03:00
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_set_rounding(r);
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2014-11-06 03:20:01 +03:00
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c.c = u3r_chub(0, a);
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d.c = u3r_chub(0, b);
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2015-07-29 06:56:02 +03:00
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e.d = _nan_unify(f64_mul(c.d, d.d));
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2014-06-05 06:46:12 +04:00
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2014-11-06 03:20:01 +03:00
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return u3i_chubs(1, &e.c);
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2014-06-02 19:03:48 +04:00
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}
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2014-09-06 00:13:24 +04:00
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u3_noun
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2014-11-06 22:13:57 +03:00
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u3wer_mul(u3_noun cor)
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2014-06-02 19:03:48 +04:00
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{
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2014-09-06 00:13:24 +04:00
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u3_noun a, b;
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2014-06-02 19:03:48 +04:00
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2014-11-18 00:56:51 +03:00
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if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
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2014-11-05 04:18:47 +03:00
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c3n == u3ud(a) ||
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c3n == u3ud(b) )
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2014-06-02 19:03:48 +04:00
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{
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2014-11-06 03:20:01 +03:00
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return u3m_bail(c3__exit);
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2014-06-02 19:03:48 +04:00
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}
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else {
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2015-08-04 06:00:09 +03:00
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return u3qer_mul(a, b, u3x_at(30, cor));
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2014-06-02 19:03:48 +04:00
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}
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}
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2014-06-03 19:41:25 +04:00
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/* div
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*/
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_div(u3_atom a,
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u3_atom b,
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u3_atom r)
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2014-06-03 19:41:25 +04:00
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{
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union doub c, d, e;
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2015-08-04 06:00:09 +03:00
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_set_rounding(r);
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2014-11-06 03:20:01 +03:00
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c.c = u3r_chub(0, a);
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d.c = u3r_chub(0, b);
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2015-07-29 06:56:02 +03:00
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e.d = _nan_unify(f64_div(c.d, d.d));
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2014-06-05 06:46:12 +04:00
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2014-11-06 03:20:01 +03:00
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return u3i_chubs(1, &e.c);
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2014-06-03 19:41:25 +04:00
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}
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2014-09-06 00:13:24 +04:00
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u3_noun
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2014-11-06 22:13:57 +03:00
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u3wer_div(u3_noun cor)
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2014-06-03 19:41:25 +04:00
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{
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2014-09-06 00:13:24 +04:00
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u3_noun a, b;
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2014-06-02 20:43:26 +04:00
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2014-11-18 00:56:51 +03:00
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if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
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2014-11-05 04:18:47 +03:00
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c3n == u3ud(a) ||
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c3n == u3ud(b) )
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2014-06-03 19:41:25 +04:00
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{
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2014-11-06 03:20:01 +03:00
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return u3m_bail(c3__exit);
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2014-06-03 19:41:25 +04:00
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}
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else {
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2015-08-04 06:00:09 +03:00
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return u3qer_div(a, b, u3x_at(30, cor));
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2014-06-03 19:41:25 +04:00
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}
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}
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2014-06-02 20:43:26 +04:00
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2015-07-29 06:56:02 +03:00
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/* sqt
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2014-06-02 20:43:26 +04:00
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*/
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_sqt(u3_atom a,
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u3_atom r)
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2014-06-02 20:43:26 +04:00
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{
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2015-07-29 06:56:02 +03:00
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union doub c, d;
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2015-08-04 06:00:09 +03:00
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_set_rounding(r);
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2014-11-06 03:20:01 +03:00
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c.c = u3r_chub(0, a);
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2015-07-29 06:56:02 +03:00
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d.d = _nan_unify(f64_sqrt(c.d));
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2014-06-05 06:46:12 +04:00
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2015-07-29 06:56:02 +03:00
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return u3i_chubs(1, &d.c);
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2014-06-02 20:43:26 +04:00
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}
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-07-29 06:56:02 +03:00
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u3wer_sqt(u3_noun cor)
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2014-06-02 20:43:26 +04:00
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{
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2015-07-29 06:56:02 +03:00
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u3_noun a;
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2014-06-02 20:43:26 +04:00
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2015-07-29 06:56:02 +03:00
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if ( c3n == (a = u3r_at(u3x_sam, cor)) ||
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c3n == u3ud(a) )
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{
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return u3m_bail(c3__exit);
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}
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else {
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2015-08-04 06:00:09 +03:00
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return u3qer_sqt(a, u3x_at(30, cor));
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2015-07-29 06:56:02 +03:00
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}
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}
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/* fma
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*/
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_fma(u3_atom a,
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u3_atom b,
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u3_atom c,
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u3_atom r)
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2015-07-29 06:56:02 +03:00
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{
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union doub d, e, f, g;
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2015-08-04 06:00:09 +03:00
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_set_rounding(r);
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2015-07-29 06:56:02 +03:00
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d.c = u3r_chub(0, a);
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e.c = u3r_chub(0, b);
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f.c = u3r_chub(0, c);
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g.d = _nan_unify(f64_mulAdd(d.d, e.d, f.d));
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return u3i_chubs(1, &g.c);
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}
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u3_noun
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u3wer_fma(u3_noun cor)
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{
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u3_noun a, b, c;
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if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_6, &b, u3x_sam_7, &c, 0) ||
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2014-11-05 04:18:47 +03:00
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c3n == u3ud(a) ||
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2015-07-29 06:56:02 +03:00
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c3n == u3ud(b) ||
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c3n == u3ud(c) )
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2014-06-02 20:43:26 +04:00
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{
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2014-11-06 03:20:01 +03:00
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return u3m_bail(c3__exit);
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2014-06-02 20:43:26 +04:00
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}
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else {
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2015-08-04 06:00:09 +03:00
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return u3qer_fma(a, b, c, u3x_at(30, cor));
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2014-06-02 20:43:26 +04:00
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}
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}
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2015-07-29 06:56:02 +03:00
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/* lth
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2014-06-02 23:13:58 +04:00
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*/
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_lth(u3_atom a,
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u3_atom b)
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2014-06-02 23:13:58 +04:00
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{
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2015-07-29 06:56:02 +03:00
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union doub c, d;
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2014-11-06 03:20:01 +03:00
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c.c = u3r_chub(0, a);
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d.c = u3r_chub(0, b);
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2014-06-05 06:46:12 +04:00
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2015-07-29 06:56:02 +03:00
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return __(f64_lt(c.d, d.d));
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2014-06-02 23:13:58 +04:00
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}
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-07-29 06:56:02 +03:00
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u3wer_lth(u3_noun cor)
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2014-06-02 23:13:58 +04:00
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{
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2014-09-06 00:13:24 +04:00
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u3_noun a, b;
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2014-06-02 23:13:58 +04:00
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2014-11-18 00:56:51 +03:00
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if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
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2014-11-05 04:18:47 +03:00
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c3n == u3ud(a) ||
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c3n == u3ud(b) )
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2014-06-02 23:13:58 +04:00
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{
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2014-11-06 03:20:01 +03:00
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return u3m_bail(c3__exit);
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2014-06-02 23:13:58 +04:00
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}
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else {
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2015-07-29 06:56:02 +03:00
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return u3qer_lth(a, b);
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2014-06-02 23:13:58 +04:00
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}
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}
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2014-06-03 22:10:49 +04:00
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/* lte
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*/
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2014-09-06 00:13:24 +04:00
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u3_noun
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2015-08-28 17:14:14 +03:00
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u3qer_lte(u3_atom a,
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u3_atom b)
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2014-06-03 22:10:49 +04:00
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{
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union doub c, d;
|
2014-11-06 03:20:01 +03:00
|
|
|
c.c = u3r_chub(0, a);
|
|
|
|
d.c = u3r_chub(0, b);
|
2014-06-05 06:46:12 +04:00
|
|
|
|
2015-07-29 06:56:02 +03:00
|
|
|
return __(f64_le(c.d, d.d));
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2014-11-06 22:13:57 +03:00
|
|
|
u3wer_lte(u3_noun cor)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun a, b;
|
2014-06-03 22:10:49 +04:00
|
|
|
|
2014-11-18 00:56:51 +03:00
|
|
|
if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
|
2014-11-05 04:18:47 +03:00
|
|
|
c3n == u3ud(a) ||
|
|
|
|
c3n == u3ud(b) )
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-11-06 03:20:01 +03:00
|
|
|
return u3m_bail(c3__exit);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
else {
|
2014-11-06 22:13:57 +03:00
|
|
|
return u3qer_lte(a, b);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2015-07-29 06:56:02 +03:00
|
|
|
/* equ
|
2014-06-03 22:10:49 +04:00
|
|
|
*/
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2015-08-28 17:14:14 +03:00
|
|
|
u3qer_equ(u3_atom a,
|
|
|
|
u3_atom b)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
|
|
|
union doub c, d;
|
2014-11-06 03:20:01 +03:00
|
|
|
c.c = u3r_chub(0, a);
|
|
|
|
d.c = u3r_chub(0, b);
|
2014-06-05 06:46:12 +04:00
|
|
|
|
2015-07-29 06:56:02 +03:00
|
|
|
return __(f64_eq(c.d, d.d));
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2015-07-29 06:56:02 +03:00
|
|
|
u3wer_equ(u3_noun cor)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun a, b;
|
2014-06-03 22:10:49 +04:00
|
|
|
|
2014-11-18 00:56:51 +03:00
|
|
|
if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
|
2014-11-05 04:18:47 +03:00
|
|
|
c3n == u3ud(a) ||
|
|
|
|
c3n == u3ud(b) )
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-11-06 03:20:01 +03:00
|
|
|
return u3m_bail(c3__exit);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
else {
|
2015-07-29 06:56:02 +03:00
|
|
|
return u3qer_equ(a, b);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* gte
|
|
|
|
*/
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2015-08-28 17:14:14 +03:00
|
|
|
u3qer_gte(u3_atom a,
|
|
|
|
u3_atom b)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
|
|
|
union doub c, d;
|
2014-11-06 03:20:01 +03:00
|
|
|
c.c = u3r_chub(0, a);
|
|
|
|
d.c = u3r_chub(0, b);
|
2014-06-05 06:46:12 +04:00
|
|
|
|
2015-07-29 06:56:02 +03:00
|
|
|
return __(f64_le(d.d, c.d));
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2014-11-06 22:13:57 +03:00
|
|
|
u3wer_gte(u3_noun cor)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun a, b;
|
2014-06-03 22:10:49 +04:00
|
|
|
|
2014-11-18 00:56:51 +03:00
|
|
|
if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
|
2014-11-05 04:18:47 +03:00
|
|
|
c3n == u3ud(a) ||
|
|
|
|
c3n == u3ud(b) )
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-11-06 03:20:01 +03:00
|
|
|
return u3m_bail(c3__exit);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
else {
|
2014-11-06 22:13:57 +03:00
|
|
|
return u3qer_gte(a, b);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* gth
|
|
|
|
*/
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2015-08-28 17:14:14 +03:00
|
|
|
u3qer_gth(u3_atom a,
|
|
|
|
u3_atom b)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
|
|
|
union doub c, d;
|
2014-11-06 03:20:01 +03:00
|
|
|
c.c = u3r_chub(0, a);
|
|
|
|
d.c = u3r_chub(0, b);
|
2014-06-05 06:46:12 +04:00
|
|
|
|
2015-07-29 06:56:02 +03:00
|
|
|
return __(f64_lt(d.d, c.d));
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun
|
2014-11-06 22:13:57 +03:00
|
|
|
u3wer_gth(u3_noun cor)
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-09-06 00:13:24 +04:00
|
|
|
u3_noun a, b;
|
2014-06-03 22:10:49 +04:00
|
|
|
|
2014-11-18 00:56:51 +03:00
|
|
|
if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
|
2014-11-05 04:18:47 +03:00
|
|
|
c3n == u3ud(a) ||
|
|
|
|
c3n == u3ud(b) )
|
2014-06-03 22:10:49 +04:00
|
|
|
{
|
2014-11-06 03:20:01 +03:00
|
|
|
return u3m_bail(c3__exit);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
else {
|
2014-11-06 22:13:57 +03:00
|
|
|
return u3qer_gth(a, b);
|
2014-06-03 22:10:49 +04:00
|
|
|
}
|
|
|
|
}
|