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update QEXT to new dynamic version

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This commit is contained in:
Florian Stecker
2022-06-11 17:36:32 +02:00
parent 2e516e718d
commit 1a85a5ef14
6 changed files with 106 additions and 64 deletions
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23
enumerate_triangle_group.c
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@@ -73,7 +73,7 @@ void continued_fraction_approximation(mpq_t out, double in, int level)
void quartic(NUMBER out, NUMBER in, int a, int b, int c, int d, int e)
{
NUMBER tmp;
INIT(tmp);
INIT(tmp, GETTYPE(in));
SET_INT(out, a);
@@ -100,8 +100,9 @@ void quartic(NUMBER out, NUMBER in, int a, int b, int c, int d, int e)
// that is the function x^2 y^2 - 4 x^3 - 4 y^3 - 27 + 18 xy
void discriminant(NUMBER out, NUMBER x, NUMBER y)
{
TYPE type = GETTYPE(out);
NUMBER x2, x3, y2, y3, tmp;
INIT(x2);INIT(x3);INIT(y2);INIT(y3);INIT(tmp);
INIT(x2, type);INIT(x3, type);INIT(y2, type);INIT(y3, type);INIT(tmp, type);
MUL(x2, x, x);
MUL(x3, x2, x);
@@ -134,15 +135,16 @@ void generators_triangle_rotation_generic(mat *gen, NUMBER rho1, NUMBER rho2, NU
mat_workspace *ws;
mat r1,r2,r3;
NUMBER b1,c1,a2,c2,a3,b3;
TYPE type = GETTYPE(rho1);
mpq_t sinv, qinv;
ws = mat_workspace_init(3);
INIT(b1);INIT(c1);INIT(a2);INIT(c2);INIT(a3);INIT(b3);
ws = mat_workspace_init(3, type);
INIT(b1, type);INIT(c1, type);INIT(a2, type);INIT(c2, type);INIT(a3, type);INIT(b3, type);
mpq_init(sinv);
mpq_init(qinv);
mat_init(r1, 3);
mat_init(r2, 3);
mat_init(r3, 3);
mat_init(r1, 3, type);
mat_init(r2, 3, type);
mat_init(r3, 3, type);
// sinv = s^{-1}
mpq_inv(sinv, s);
@@ -250,7 +252,7 @@ void generators_triangle_rotation_2346_rational(mat *gen, int p1, int p2, int p3
void generators_triangle_rotation_555_barbot(mat *gen, mpq_t s_, mpq_t q_)
{
NUMBER rho, c, one, s;
INIT(rho);INIT(c);INIT(one);INIT(s);
INIT(rho, QT_SQRT5);INIT(c, QT_SQRT5);INIT(one, QT_SQRT5);INIT(s, QT_SQRT5);
// c = - (1+sqrt(5))/2
mpq_set_si(c->a[0], -1, 2);
@@ -292,8 +294,9 @@ void enumerate_triangle_rotation_subgroup(group_t *group, mat *gen, mat *matrice
char buf[100], buf2[100], buf3[100];
// allocate stuff
ws = mat_workspace_init(3);
mat_init(tmp, 3);
TYPE type = GETTYPE(gen[0]->x[0]);
ws = mat_workspace_init(3, type);
mat_init(tmp, 3, type);
// initialize_triangle_generators(ws, gen, p1, p2, p3, s, q);

12
mat.c
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@@ -1,11 +1,11 @@
#include "mat.h"
mat_workspace *mat_workspace_init(int n)
mat_workspace *mat_workspace_init(int n, TYPE t)
{
mat_workspace *ws = (mat_workspace*)malloc(sizeof(mat_workspace));
mat_init(ws->tmp_mat, n);
INIT(ws->tmp_num);
INIT(ws->tmp_num2);
mat_init(ws->tmp_mat, n, t);
INIT(ws->tmp_num, t);
INIT(ws->tmp_num2, t);
return ws;
}
@@ -17,11 +17,11 @@ void mat_workspace_clear(mat_workspace *ws)
free(ws);
}
void mat_init(mat m, int n)
void mat_init(mat m, int n, TYPE t)
{
m->n = n;
m->x = malloc(n*n*sizeof(NUMBER));
LOOP(i,n) LOOP(j,n) INIT(m->x[i+j*n]);
LOOP(i,n) LOOP(j,n) INIT(m->x[i+j*n], t);
}
void mat_get(NUMBER out, mat m, int i, int j)

22
mat.h
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@@ -22,28 +22,34 @@
#define SET_ONE(x) qext_set_int((x),1)
#define ADD qext_add
#define SUB qext_sub
#define NEG qext_neg
#define MUL qext_mul
// #define DIV qext_div
#define CMP qext_cmp
#define PRINT qext_print
#define SNPRINT qext_snprint
#define TYPE struct qext_type*
#define GETTYPE(x) ((x)->type)
#endif
#ifdef QEXT_TRIVIAL
#else
#define NUMBER mpq_t
#define INIT mpq_init
#define INIT(x,t) mpq_init(x)
#define CLEAR mpq_clear
#define SET mpq_set
#define SET_INT(x,y) mpq_set_si(x,y,1)
#define SET_Q SET
#define SET_ZERO(x) SET_INT(x,0)
#define SET_ONE(x) SET_INT(x,1)
#define ADD mpq_add
#define SUB mpq_sub
#define NEG mpq_neg
#define MUL mpq_mul
#define DIV mpq_div
#define PRINT(x) gmp_printf("%Qd", x)
#define SNPRINT(out, size, x) gmp_snprintf(out, size, "%Qd", x)
#define TYPE int
#define GETTYPE(x) 0
#endif
@@ -52,7 +58,7 @@
struct _mat{
int n;
NUMBER *x;
} ;
};
typedef struct _mat mat[1];
@@ -62,9 +68,9 @@ typedef struct _mat_workspace {
NUMBER tmp_num2;
} mat_workspace;
mat_workspace *mat_workspace_init(int n);
mat_workspace *mat_workspace_init(int n, TYPE t);
void mat_workspace_clear(mat_workspace *ws);
void mat_init(mat m, int n);
void mat_init(mat m, int n, TYPE t);
void mat_get(NUMBER out, mat m, int i, int j);
void mat_set(mat m, int i, int j, NUMBER x);
NUMBER *mat_ref(mat m, int i, int j);
@@ -73,10 +79,8 @@ void mat_identity(mat m);
void mat_copy(mat to, mat from);
void mat_clear(mat m);
int mat_same(mat m1, mat m2);
static void mat_multiply_outofplace(mat_workspace *ws, mat out, mat in1, mat in2);
void mat_multiply(mat_workspace *ws, mat out, mat in1, mat in2);
void mat_det(mat_workspace *ws, NUMBER out, mat in);
static void mat_pseudoinverse_outofplace(mat_workspace *ws, mat out, mat in);
void mat_pseudoinverse(mat_workspace *ws, mat out, mat in);
void mat_trace(NUMBER out, mat in);
void mat_print(mat in);

82
qext.c
View File

@@ -7,62 +7,90 @@ mpq_t *qext_coefficient;
#include <malloc.h>
#define LOOP(i,n) for(int i = 0; i < (n); i++)
#define RANK(x) ((x)->type->rank)
void qext_setup(int rank, const int *coeffs)
const int qext_type_trivial_coeffs[] = {-1, 1};
struct qext_type qext_type_trivial_v = {1, qext_type_trivial_coeffs, NULL};
struct qext_type *QT_TRIVIAL = &qext_type_trivial_v;
const int qext_type_sqrt5_coeffs[] = {-5, 0, 1};
struct qext_type qext_type_sqrt5_v = {2, qext_type_sqrt5_coeffs, NULL};
struct qext_type *QT_SQRT5 = &qext_type_sqrt5_v;
static void qext_init_type(struct qext_type *type)
{
qext_rank = rank;
qext_coefficient = malloc(rank*sizeof(mpq_t));
LOOP(i, rank) {
mpq_init(qext_coefficient[i]);
mpq_set_si(qext_coefficient[i], -coeffs[i], coeffs[rank]);
type->coeffs = malloc(type->rank*sizeof(mpq_t));
LOOP(i, type->rank) {
mpq_init(type->coeffs[i]);
mpq_set_si(type->coeffs[i],
-type->integer_coeffs[i],
type->integer_coeffs[type->rank]);
}
}
void qext_init(qext_number x)
struct qext_type *qext_newtype(int rank, const int *coeffs)
{
x->rk = qext_rank;
x->a = malloc(x->rk*sizeof(mpq_t));
LOOP(i, x->rk) mpq_init(x->a[i]);
struct qext_type *type = malloc(sizeof(struct qext_type));
type->rank = rank;
type->integer_coeffs = coeffs;
qext_init_type(type);
return type;
}
void qext_init(qext_number x, struct qext_type *type)
{
if(type->coeffs == NULL) // uninitialized default type
qext_init_type(type);
x->type = type;
x->a = malloc(RANK(x)*sizeof(mpq_t));
LOOP(i, RANK(x)) mpq_init(x->a[i]);
}
void qext_clear(qext_number x)
{
LOOP(i, x->rk) mpq_clear(x->a[i]);
LOOP(i, RANK(x)) mpq_clear(x->a[i]);
free(x->a);
}
void qext_set(qext_number x, qext_number y)
{
LOOP(i, x->rk) mpq_set(x->a[i], y->a[i]);
LOOP(i, RANK(x)) mpq_set(x->a[i], y->a[i]);
}
void qext_set_int(qext_number x, int y)
{
mpq_set_si(x->a[0], y, 1);
for(int i = 1; i < x->rk; i++)
for(int i = 1; i < RANK(x); i++)
mpq_set_ui(x->a[i], 0, 1);
}
void qext_set_q(qext_number x, mpq_t y)
{
mpq_set(x->a[0], y);
for(int i = 1; i < x->rk; i++)
for(int i = 1; i < RANK(x); i++)
mpq_set_ui(x->a[i], 0, 1);
}
void qext_add(qext_number result, qext_number x, qext_number y)
{
LOOP(i, x->rk) mpq_add(result->a[i], x->a[i], y->a[i]);
LOOP(i, RANK(x)) mpq_add(result->a[i], x->a[i], y->a[i]);
}
void qext_sub(qext_number result, qext_number x, qext_number y)
{
LOOP(i, x->rk) mpq_sub(result->a[i], x->a[i], y->a[i]);
LOOP(i, RANK(x)) mpq_sub(result->a[i], x->a[i], y->a[i]);
}
void qext_neg(qext_number result, qext_number x)
{
LOOP(i, RANK(x)) mpq_neg(result->a[i], x->a[i]);
}
void qext_print(qext_number x)
{
LOOP(i, x->rk) {
LOOP(i, RANK(x)) {
if(i == 0)
gmp_printf("%Qd", x->a[i]);
else if(i == 1)
@@ -76,7 +104,7 @@ void qext_snprint(char *str, size_t size, qext_number x)
{
int len = 0;
LOOP(i, x->rk) {
LOOP(i, RANK(x)) {
if(i == 0)
len += gmp_snprintf(str+len, size-len, "%Qd", x->a[i]);
else if(i == 1)
@@ -90,7 +118,7 @@ int qext_cmp(qext_number x, qext_number y)
{
int cmp;
LOOP(i, x->rk) {
LOOP(i, RANK(x)) {
cmp = mpq_cmp(x->a[i], y->a[i]);
if(cmp)
return cmp;
@@ -101,11 +129,11 @@ int qext_cmp(qext_number x, qext_number y)
void qext_mul(qext_number out, qext_number x, qext_number y)
{
mpq_t result[2*x->rk-1];
mpq_t result[2*RANK(x)-1];
mpq_t tmp;
mpq_init(tmp);
LOOP(i, 2*x->rk-1) {
LOOP(i, 2*RANK(x)-1) {
mpq_init(result[i]);
mpq_set_ui(result[i], 0, 1);
}
@@ -115,21 +143,21 @@ void qext_mul(qext_number out, qext_number x, qext_number y)
// degree 2: 4+2
// degree 4: 16+12, including 6 times 0*
LOOP(i, x->rk) LOOP(j, x->rk) {
LOOP(i, RANK(x)) LOOP(j, RANK(x)) {
mpq_mul(tmp, x->a[i], y->a[j]);
mpq_add(result[i+j], result[i+j], tmp);
}
for(int i = x->rk-2; i >= 0; i--) {
LOOP(j, x->rk) {
mpq_mul(tmp, qext_coefficient[j], result[x->rk+i]);
for(int i = RANK(x)-2; i >= 0; i--) {
LOOP(j, RANK(x)) {
mpq_mul(tmp, x->type->coeffs[j], result[RANK(x)+i]);
mpq_add(result[i+j], result[i+j], tmp);
}
}
LOOP(i, x->rk) mpq_set(out->a[i], result[i]);
LOOP(i, RANK(x)) mpq_set(out->a[i], result[i]);
LOOP(i, 2*x->rk-1) mpq_clear(result[i]);
LOOP(i, 2*RANK(x)-1) mpq_clear(result[i]);
mpq_clear(tmp);
}

16
qext.h
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@@ -3,21 +3,31 @@
#include <gmp.h>
struct qext_type {
int rank;
const int *integer_coeffs;
mpq_t *coeffs;
};
struct qext_number_internal {
int rk;
struct qext_type *type;
mpq_t *a;
};
typedef struct qext_number_internal qext_number[1];
void qext_setup(int rank, const int *coeffs);
void qext_init(qext_number x);
extern struct qext_type *QT_TRIVIAL;
extern struct qext_type *QT_SQRT5;
struct qext_type *qext_newtype(int rank, const int *coeffs);
void qext_init(qext_number x, struct qext_type *type);
void qext_clear(qext_number x);
void qext_set(qext_number x, qext_number y);
void qext_set_int(qext_number x, int y);
void qext_set_q(qext_number x, mpq_t y);
void qext_add(qext_number result, qext_number x, qext_number y);
void qext_sub(qext_number result, qext_number x, qext_number y);
void qext_neg(qext_number result, qext_number x);
void qext_mul(qext_number out, qext_number x, qext_number y);
void qext_div(qext_number out, qext_number x, qext_number y);
int qext_cmp(qext_number x, qext_number y);

15
singular_values_barbot.c
View File

@@ -146,8 +146,8 @@ int invariants_trace_loxodromic(group_t *group, mat *matrices, struct result **i
// check if loxodromic
NUMBER disc, zero;
double disc_real;
INIT(disc);
INIT(zero);
INIT(disc, QT_SQRT5);
INIT(zero, QT_SQRT5);
SET_ZERO(zero);
for(int i = 0; i < nuniq; i++) {
discriminant(disc, invariants[i]->tr, invariants[i]->trinv);
@@ -289,12 +289,12 @@ int init_node(const void *_g, void *_n)
g->id_list = (int*)(g+1); // pointers get scrambled by transmission, reconstruct
n->matrices = malloc(g->nmax*sizeof(mat));
for(int i = 0; i < g->nmax; i++)
mat_init(n->matrices[i], 3);
mat_init(n->matrices[i], 3, QT_SQRT5);
n->invariants = malloc(g->nmax*sizeof(struct result));
n->distinct_invariants = malloc(g->nmax*sizeof(struct result)); // we won't need that many, but just in case
for(int i = 0; i < g->nmax; i++) {
INIT(n->invariants[i].tr);
INIT(n->invariants[i].trinv);
INIT(n->invariants[i].tr, QT_SQRT5);
INIT(n->invariants[i].trinv, QT_SQRT5);
n->invariants[i].id = i;
}
@@ -370,7 +370,7 @@ int do_computation(const void *_g, void *_n, const void *_in, void *_out)
DEBUG("Compute matrices\n");
mat gen[6];
for(int i = 0; i < 6; i++)
mat_init(gen[i], 3);
mat_init(gen[i], 3, QT_SQRT5);
generators_triangle_rotation_555_barbot(gen, s, q);
enumerate_triangle_rotation_subgroup(n->group, gen, n->matrices);
@@ -420,9 +420,6 @@ int main(int argc, char *argv[])
g->qend = atoi(argv[9]);
g->qdenom = atoi(argv[10]);
const int coefficients[] = {-5, 0, 1};
qext_setup(2, coefficients);
// initialize
parallel_context *ctx = parallel_init();
parallel_set_datasize_and_callbacks(ctx, init_node, do_computation, destroy_node,