Atmosphere/libraries/libexosphere/source/libc/libgcc_division.arch.arm.c

// SPDX-License-Identifier: BSD-2-Clause
/*
 * Copyright (c) 2014, STMicroelectronics International N.V.
 */

/*
 * Form ABI specifications:
 *      int __aeabi_idiv(int numerator, int denominator);
 *     unsigned __aeabi_uidiv(unsigned numerator, unsigned denominator);
 *
 *     typedef struct { int quot; int rem; } idiv_return;
 *     typedef struct { unsigned quot; unsigned rem; } uidiv_return;
 *
 *     __value_in_regs idiv_return __aeabi_idivmod(int numerator,
 *     int *denominator);
 *     __value_in_regs uidiv_return __aeabi_uidivmod(unsigned *numerator,
 *     unsigned denominator);
 */

#ifdef __cplusplus
extern "C" {
#endif


/* struct qr - stores qutient/remainder to handle divmod EABI interfaces. */
struct qr {
	unsigned q;		/* computed quotient */
	unsigned r;		/* computed remainder */
	unsigned q_n;		/* specficies if quotient shall be negative */
	unsigned r_n;		/* specficies if remainder shall be negative */
};

static void uint_div_qr(unsigned numerator, unsigned denominator,
			struct qr *qr);

/* returns in R0 and R1 by tail calling an asm function */
unsigned __aeabi_uidivmod(unsigned numerator, unsigned denominator);

unsigned __aeabi_uidiv(unsigned numerator, unsigned denominator);

/* returns in R0 and R1 by tail calling an asm function */
signed __aeabi_idivmod(signed numerator, signed denominator);

signed __aeabi_idiv(signed numerator, signed denominator);

/*
 * __ste_idivmod_ret_t __aeabi_idivmod(signed numerator, signed denominator)
 * Numerator and Denominator are received in R0 and R1.
 * Where __ste_idivmod_ret_t is returned in R0 and R1.
 *
 * __ste_uidivmod_ret_t __aeabi_uidivmod(unsigned numerator,
 *                                       unsigned denominator)
 * Numerator and Denominator are received in R0 and R1.
 * Where __ste_uidivmod_ret_t is returned in R0 and R1.
 */
#ifdef __GNUC__
signed ret_idivmod_values(signed quotient, signed remainder);
unsigned ret_uidivmod_values(unsigned quotient, unsigned remainder);
#else
#error "Compiler not supported"
#endif

static void division_qr(unsigned n, unsigned p, struct qr *qr)
{
	unsigned i = 1, q = 0;
	if (p == 0) {
		qr->r = 0xFFFFFFFF;	/* division by 0 */
		return;
	}

	while ((p >> 31) == 0) {
		i = i << 1;	/* count the max division steps */
		p = p << 1;     /* increase p until it has maximum size*/
	}

	while (i > 0) {
		q = q << 1;	/* write bit in q at index (size-1) */
		if (n >= p)
		{
			n -= p;
			q++;
		}
		p = p >> 1; 	/* decrease p */
		i = i >> 1; 	/* decrease remaining size in q */
	}
	qr->r = n;
	qr->q = q;
}

static void uint_div_qr(unsigned numerator, unsigned denominator, struct qr *qr)
{

	division_qr(numerator, denominator, qr);

	/* negate quotient and/or remainder according to requester */
	if (qr->q_n)
		qr->q = -qr->q;
	if (qr->r_n)
		qr->r = -qr->r;
}

unsigned __aeabi_uidiv(unsigned numerator, unsigned denominator)
{
	struct qr qr = { .q_n = 0, .r_n = 0 };

	uint_div_qr(numerator, denominator, &qr);

	return qr.q;
}

unsigned __aeabi_uidivmod(unsigned numerator, unsigned denominator)
{
	struct qr qr = { .q_n = 0, .r_n = 0 };

	uint_div_qr(numerator, denominator, &qr);

	return ret_uidivmod_values(qr.q, qr.r);
}

signed __aeabi_idiv(signed numerator, signed denominator)
{
	struct qr qr = { .q_n = 0, .r_n = 0 };

	if (((numerator < 0) && (denominator > 0)) ||
	    ((numerator > 0) && (denominator < 0)))
		qr.q_n = 1;	/* quotient shall be negate */
	if (numerator < 0) {
		numerator = -numerator;
		qr.r_n = 1;	/* remainder shall be negate */
	}
	if (denominator < 0)
		denominator = -denominator;

	uint_div_qr(numerator, denominator, &qr);

	return qr.q;
}

signed __aeabi_idivmod(signed numerator, signed denominator)
{
	struct qr qr = { .q_n = 0, .r_n = 0 };

	if (((numerator < 0) && (denominator > 0)) ||
	    ((numerator > 0) && (denominator < 0)))
		qr.q_n = 1;	/* quotient shall be negate */
	if (numerator < 0) {
		numerator = -numerator;
		qr.r_n = 1;	/* remainder shall be negate */
	}
	if (denominator < 0)
		denominator = -denominator;

	uint_div_qr(numerator, denominator, &qr);

	return ret_idivmod_values(qr.q, qr.r);
}

/* struct lqr - stores qutient/remainder to handle divmod EABI interfaces. */
struct lqr {
	unsigned long long q;	/* computed quotient */
	unsigned long long r;	/* computed remainder */
	unsigned q_n;		/* specficies if quotient shall be negative */
	unsigned r_n;		/* specficies if remainder shall be negative */
};

static void ul_div_qr(unsigned long long numerator,
		unsigned long long denominator, struct lqr *qr);


static void division_lqr(unsigned long long n, unsigned long long p,
		struct lqr *qr)
{
	unsigned long long i = 1, q = 0;
	if (p == 0) {
		qr->r = 0xFFFFFFFFFFFFFFFFULL;	/* division by 0 */
		return;
	}

	while ((p >> 63) == 0) {
		i = i << 1;	/* count the max division steps */
		p = p << 1;     /* increase p until it has maximum size*/
	}

	while (i > 0) {
		q = q << 1;	/* write bit in q at index (size-1) */
		if (n >= p) {
			n -= p;
			q++;
		}
		p = p >> 1;	/* decrease p */
		i = i >> 1;	/* decrease remaining size in q */
	}
	qr->r = n;
	qr->q = q;
}

static void ul_div_qr(unsigned long long numerator,
		unsigned long long denominator, struct lqr *qr)
{

	division_lqr(numerator, denominator, qr);

	/* negate quotient and/or remainder according to requester */
	if (qr->q_n)
		qr->q = -qr->q;
	if (qr->r_n)
		qr->r = -qr->r;
}

struct asm_ulqr {
	unsigned long long v0;
	unsigned long long v1;
};

/* called from assembly function __aeabi_uldivmod */
void __ul_divmod(struct asm_ulqr *asm_ulqr);
void __ul_divmod(struct asm_ulqr *asm_ulqr)
{
	unsigned long long numerator = asm_ulqr->v0;
	unsigned long long denominator = asm_ulqr->v1;
	struct lqr qr = { .q_n = 0, .r_n = 0 };

	ul_div_qr(numerator, denominator, &qr);

	asm_ulqr->v0 = qr.q;
	asm_ulqr->v1 = qr.r;
}

struct asm_lqr {
	long long v0;
	long long v1;
};

/* called from assembly function __aeabi_ldivmod */
void __l_divmod(struct asm_lqr *asm_lqr);
void __l_divmod(struct asm_lqr *asm_lqr)
{
	long long numerator = asm_lqr->v0;
	long long denominator = asm_lqr->v1;
	struct lqr qr = { .q_n = 0, .r_n = 0 };

	if (((numerator < 0) && (denominator > 0)) ||
	    ((numerator > 0) && (denominator < 0)))
		qr.q_n = 1;	/* quotient shall be negate */
	if (numerator < 0) {
		numerator = -numerator;
		qr.r_n = 1;	/* remainder shall be negate */
	}
	if (denominator < 0)
		denominator = -denominator;

	ul_div_qr(numerator, denominator, &qr);

	asm_lqr->v0 = qr.q;
	asm_lqr->v1 = qr.r;
}

#ifdef __cplusplus
} /* extern "C" */
#endif