From 4a380aa6ac331500faf52a2c599abac06dd7855b Mon Sep 17 00:00:00 2001 From: Andy Wingo Date: Sun, 19 Dec 2021 10:03:31 +0100 Subject: [PATCH] Implement scm_logand with new integer library * libguile/integers.c (scm_integer_logand_ii, scm_integer_logand_zi) (scm_integer_logand_zz): New internal functions. * libguile/integers.h: Declare the new internal functions. * libguile/numbers.c (scm_logand): Use new internal functions. --- libguile/integers.c | 70 +++++++++++++++++++++++++++++++++++++++++++++ libguile/integers.h | 4 +++ libguile/numbers.c | 38 ++++-------------------- 3 files changed, 79 insertions(+), 33 deletions(-) diff --git a/libguile/integers.c b/libguile/integers.c index 3c7a86709..eb65ed221 100644 --- a/libguile/integers.c +++ b/libguile/integers.c @@ -1854,3 +1854,73 @@ scm_integer_lcm_zz (SCM x, SCM y) /* shouldn't need to normalize b/c lcm of 2 bigs should be big */ return take_mpz (result); } + +/* Emulating 2's complement bignums with sign magnitude arithmetic: + + Logand: + X Y Result Method: + (len) + + + + x (map digit:logand X Y) + + - + x (map digit:logand X (lognot (+ -1 Y))) + - + + y (map digit:logand (lognot (+ -1 X)) Y) + - - - (+ 1 (map digit:logior (+ -1 X) (+ -1 Y))) + + Logior: + X Y Result Method: + + + + + (map digit:logior X Y) + + - - y (+ 1 (map digit:logand (lognot X) (+ -1 Y))) + - + - x (+ 1 (map digit:logand (+ -1 X) (lognot Y))) + - - - x (+ 1 (map digit:logand (+ -1 X) (+ -1 Y))) + + Logxor: + X Y Result Method: + + + + + (map digit:logxor X Y) + + - - (+ 1 (map digit:logxor X (+ -1 Y))) + - + - (+ 1 (map digit:logxor (+ -1 X) Y)) + - - + (map digit:logxor (+ -1 X) (+ -1 Y)) + + Logtest: + X Y Result + + + + (any digit:logand X Y) + + - (any digit:logand X (lognot (+ -1 Y))) + - + (any digit:logand (lognot (+ -1 X)) Y) + - - #t + +*/ + +SCM +scm_integer_logand_ii (scm_t_inum x, scm_t_inum y) +{ + return SCM_I_MAKINUM (x & y); +} + +SCM +scm_integer_logand_zi (SCM x, scm_t_inum y) +{ + if (y == 0) + return SCM_INUM0; + + mpz_t result, zx, zy; + mpz_init (result); + alias_bignum_to_mpz (scm_bignum (x), zx); + mpz_init_set_si (zy, y); + mpz_and (result, zy, zx); + scm_remember_upto_here_1 (x); + mpz_clear (zy); + return take_mpz (result); +} + +SCM +scm_integer_logand_zz (SCM x, SCM y) +{ + mpz_t result, zx, zy; + mpz_init (result); + alias_bignum_to_mpz (scm_bignum (x), zx); + alias_bignum_to_mpz (scm_bignum (y), zy); + mpz_and (result, zx, zy); + scm_remember_upto_here_2 (x, y); + return take_mpz (result); +} diff --git a/libguile/integers.h b/libguile/integers.h index 31407b79e..d2ab465d7 100644 --- a/libguile/integers.h +++ b/libguile/integers.h @@ -132,6 +132,10 @@ SCM_INTERNAL SCM scm_integer_lcm_ii (scm_t_inum x, scm_t_inum y); SCM_INTERNAL SCM scm_integer_lcm_zi (SCM x, scm_t_inum y); SCM_INTERNAL SCM scm_integer_lcm_zz (SCM x, SCM y); +SCM_INTERNAL SCM scm_integer_logand_ii (scm_t_inum x, scm_t_inum y); +SCM_INTERNAL SCM scm_integer_logand_zi (SCM x, scm_t_inum y); +SCM_INTERNAL SCM scm_integer_logand_zz (SCM x, SCM y); + #endif /* SCM_INTEGERS_H */ diff --git a/libguile/numbers.c b/libguile/numbers.c index 7aea6661a..c4955b641 100644 --- a/libguile/numbers.c +++ b/libguile/numbers.c @@ -2961,47 +2961,19 @@ SCM scm_logand (SCM n1, SCM n2) if (SCM_I_INUMP (n1)) { - nn1 = SCM_I_INUM (n1); if (SCM_I_INUMP (n2)) - { - scm_t_inum nn2 = SCM_I_INUM (n2); - return SCM_I_MAKINUM (nn1 & nn2); - } - else if SCM_BIGP (n2) - { - intbig: - if (nn1 == 0) - return SCM_INUM0; - { - SCM result_z = scm_i_mkbig (); - mpz_t nn1_z; - mpz_init_set_si (nn1_z, nn1); - mpz_and (SCM_I_BIG_MPZ (result_z), nn1_z, SCM_I_BIG_MPZ (n2)); - scm_remember_upto_here_1 (n2); - mpz_clear (nn1_z); - return scm_i_normbig (result_z); - } - } + return scm_integer_logand_ii (SCM_I_INUM (n1), SCM_I_INUM (n2)); + else if (SCM_BIGP (n2)) + return scm_integer_logand_zi (n2, SCM_I_INUM (n1)); else SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); } else if (SCM_BIGP (n1)) { if (SCM_I_INUMP (n2)) - { - SCM_SWAP (n1, n2); - nn1 = SCM_I_INUM (n1); - goto intbig; - } + return scm_integer_logand_zi (n1, SCM_I_INUM (n2)); else if (SCM_BIGP (n2)) - { - SCM result_z = scm_i_mkbig (); - mpz_and (SCM_I_BIG_MPZ (result_z), - SCM_I_BIG_MPZ (n1), - SCM_I_BIG_MPZ (n2)); - scm_remember_upto_here_2 (n1, n2); - return scm_i_normbig (result_z); - } + return scm_integer_logand_zz (n1, n2); else SCM_WRONG_TYPE_ARG (SCM_ARG2, n2); }