Merge branch 'gmp_integration' of necada:~/repo/qpms into gmp_integration
Former-commit-id: 7d6118efbb06d1cee0eb3e89afc4aeb65665d023
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commit
5f77fd9386
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@ -325,3 +325,30 @@ void qpq_deriv(qpq_t *dp, const qpq_t *p) {
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dp->order = p->order - 1;
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dp->offset = p->offset - 1 + !p->offset;
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}
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void qpq_legendroid_init(qpq_legendroid_t *p) {
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qpq_init(&p->p);
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p->f = 0;
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}
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void qpq_legendroid_clear(qpq_legendroid_t *p) {
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qpq_clear(&p->p);
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p->f = 0;
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}
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void qpq_legendroid_mul(qpq_legendroid_t *p, const qpq_legendroid_t *a, const qpq_legendroid_t *b) {
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qpq_mul(&p->p, &a->p, &b->p);
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if (a->f && b->f) {
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// TODO make somehow a static representation of this constant polynomial
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qpq_t ff;
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qpq_init(&ff);
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qpq_extend(&ff, 3);
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qpq_set_elem_si(&ff, 0, -1, 1);
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qpq_set_elem_si(&ff, 2, 1, 1);
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qpq_mul(p, &ff);
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qpq_clear(&ff);
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}
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p->f = !(a->f) != !(b->f);
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}
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@ -71,6 +71,21 @@ void qpq_deriv(qpq_t *dPdx, const qpq_t *P);
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/// Tests whether a polynomial is non-zero.
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_Bool qpq_nonzero(const qpq_t *);
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/// A type representing a polynomial with rational coefficients times an optional factor \f$ \sqrt{1-x^2} \f$.
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typedef struct qpq_legendroid_t {
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qpq_t p;
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_Bool f;
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} qpq_legendroid_t;
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void qpq_legendroid_init(qpq_legendroid_t *p);
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void qpq_legendroid_clear(qpq_legendroid_t *p);
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/// Polynomial multiplication.
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void qpq_legendroid_mul(qpq_legendroid_t *product, const qpq_legendroid_t *multiplier, const qpq_legendroid_t *multiplicand);
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/// Polynomial derivative.
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void qpq_legendroid_deriv(qpq_legendroid_t *dP_dx, const qpq_legendroid_t *P);
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/// Polynomial with double coeffs.
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typedef struct qpz_t {
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