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+/*===-- addsf3.S - Adds two single precision floating pointer numbers-----===//
+ *
+ * The LLVM Compiler Infrastructure
+ *
+ * This file is dual licensed under the MIT and the University of Illinois Open
+ * Source Licenses. See LICENSE.TXT for details.
+ *
+ *===----------------------------------------------------------------------===//
+ *
+ * This file implements the __addsf3 (single precision floating pointer number
+ * addition with the IEEE-754 default rounding (to nearest, ties to even)
+ * function for the ARM Thumb1 ISA.
+ *
+ *===----------------------------------------------------------------------===*/
+
+#include "../assembly.h"
+#define significandBits 23
+#define typeWidth 32
+
+ .syntax unified
+ .text
+ .thumb
+ .p2align 2
+
+DEFINE_AEABI_FUNCTION_ALIAS(__aeabi_fadd, __addsf3)
+
+DEFINE_COMPILERRT_THUMB_FUNCTION(__addsf3)
+ push {r4, r5, r6, r7, lr}
+ // Get the absolute value of a and b.
+ lsls r2, r0, #1
+ lsls r3, r1, #1
+ lsrs r2, r2, #1 /* aAbs */
+ beq LOCAL_LABEL(a_zero_nan_inf)
+ lsrs r3, r3, #1 /* bAbs */
+ beq LOCAL_LABEL(zero_nan_inf)
+
+ // Detect if a or b is infinity or Nan.
+ lsrs r6, r2, #(significandBits)
+ lsrs r7, r3, #(significandBits)
+ cmp r6, #0xFF
+ beq LOCAL_LABEL(zero_nan_inf)
+ cmp r7, #0xFF
+ beq LOCAL_LABEL(zero_nan_inf)
+
+ // Swap Rep and Abs so that a and aAbs has the larger absolute value.
+ cmp r2, r3
+ bhs LOCAL_LABEL(no_swap)
+ movs r4, r0
+ movs r5, r2
+ movs r0, r1
+ movs r2, r3
+ movs r1, r4
+ movs r3, r5
+LOCAL_LABEL(no_swap):
+
+ // Get the significands and shift them to give us round, guard and sticky.
+ lsls r4, r0, #(typeWidth - significandBits)
+ lsrs r4, r4, #(typeWidth - significandBits - 3) /* aSignificand << 3 */
+ lsls r5, r1, #(typeWidth - significandBits)
+ lsrs r5, r5, #(typeWidth - significandBits - 3) /* bSignificand << 3 */
+
+ // Get the implicitBit.
+ movs r6, #1
+ lsls r6, r6, #(significandBits + 3)
+
+ // Get aExponent and set implicit bit if necessary.
+ lsrs r2, r2, #(significandBits)
+ beq LOCAL_LABEL(a_done_implicit_bit)
+ orrs r4, r6
+LOCAL_LABEL(a_done_implicit_bit):
+
+ // Get bExponent and set implicit bit if necessary.
+ lsrs r3, r3, #(significandBits)
+ beq LOCAL_LABEL(b_done_implicit_bit)
+ orrs r5, r6
+LOCAL_LABEL(b_done_implicit_bit):
+
+ // Get the difference in exponents.
+ subs r6, r2, r3
+ beq LOCAL_LABEL(done_align)
+
+ // If b is denormal, then a must be normal as align > 0, and we only need to
+ // right shift bSignificand by (align - 1) bits.
+ cmp r3, #0
+ bne 1f
+ subs r6, r6, #1
+1:
+
+ // No longer needs bExponent. r3 is dead here.
+ // Set sticky bits of b: sticky = bSignificand << (typeWidth - align).
+ movs r3, #(typeWidth)
+ subs r3, r3, r6
+ movs r7, r5
+ lsls r7, r3
+ beq 1f
+ movs r7, #1
+1:
+
+ // bSignificand = bSignificand >> align | sticky;
+ lsrs r5, r6
+ orrs r5, r7
+ bne LOCAL_LABEL(done_align)
+ movs r5, #1 // sticky; b is known to be non-zero.
+
+LOCAL_LABEL(done_align):
+ // isSubtraction = (aRep ^ bRep) >> 31;
+ movs r7, r0
+ eors r7, r1
+ lsrs r7, #31
+ bne LOCAL_LABEL(do_substraction)
+
+ // Same sign, do Addition.
+
+ // aSignificand += bSignificand;
+ adds r4, r4, r5
+
+ // Check carry bit.
+ movs r6, #1
+ lsls r6, r6, #(significandBits + 3 + 1)
+ movs r7, r4
+ ands r7, r6
+ beq LOCAL_LABEL(form_result)
+ // If the addition carried up, we need to right-shift the result and
+ // adjust the exponent.
+ movs r7, r4
+ movs r6, #1
+ ands r7, r6 // sticky = aSignificand & 1;
+ lsrs r4, #1
+ orrs r4, r7 // result Significand
+ adds r2, #1 // result Exponent
+ // If we have overflowed the type, return +/- infinity.
+ cmp r2, 0xFF
+ beq LOCAL_LABEL(ret_inf)
+
+LOCAL_LABEL(form_result):
+ // Shift the sign, exponent and significand into place.
+ lsrs r0, #(typeWidth - 1)
+ lsls r0, #(typeWidth - 1) // Get Sign.
+ lsls r2, #(significandBits)
+ orrs r0, r2
+ movs r1, r4
+ lsls r4, #(typeWidth - significandBits - 3)
+ lsrs r4, #(typeWidth - significandBits)
+ orrs r0, r4
+
+ // Final rounding. The result may overflow to infinity, but that is the
+ // correct result in that case.
+ // roundGuardSticky = aSignificand & 0x7;
+ movs r2, #0x7
+ ands r1, r2
+ // if (roundGuardSticky > 0x4) result++;
+
+ cmp r1, #0x4
+ blt LOCAL_LABEL(done_round)
+ beq 1f
+ adds r0, #1
+ pop {r4, r5, r6, r7, pc}
+1:
+
+ // if (roundGuardSticky == 0x4) result += result & 1;
+ movs r1, r0
+ lsrs r1, #1
+ bcc LOCAL_LABEL(done_round)
+ adds r0, r0, #1
+LOCAL_LABEL(done_round):
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(do_substraction):
+ subs r4, r4, r5 // aSignificand -= bSignificand;
+ beq LOCAL_LABEL(ret_zero)
+ movs r6, r4
+ cmp r2, 0
+ beq LOCAL_LABEL(form_result) // if a's exp is 0, no need to normalize.
+ // If partial cancellation occured, we need to left-shift the result
+ // and adjust the exponent:
+ lsrs r6, r6, #(significandBits + 3)
+ bne LOCAL_LABEL(form_result)
+
+ push {r0, r1, r2, r3}
+ movs r0, r4
+ bl __clzsi2
+ movs r5, r0
+ pop {r0, r1, r2, r3}
+ // shift = rep_clz(aSignificand) - rep_clz(implicitBit << 3);
+ subs r5, r5, #(typeWidth - significandBits - 3 - 1)
+ // aSignificand <<= shift; aExponent -= shift;
+ lsls r4, r5
+ subs r2, r2, r5
+ bgt LOCAL_LABEL(form_result)
+
+ // Do normalization if aExponent <= 0.
+ movs r6, #1
+ subs r6, r6, r2 // 1 - aExponent;
+ movs r2, #0 // aExponent = 0;
+ movs r3, #(typeWidth) // bExponent is dead.
+ subs r3, r3, r6
+ movs r7, r4
+ lsls r7, r3 // stickyBit = (bool)(aSignificant << (typeWidth - align))
+ beq 1f
+ movs r7, #1
+1:
+ lsrs r4, r6 /* aSignificand >> shift */
+ orrs r4, r7
+ b LOCAL_LABEL(form_result)
+
+LOCAL_LABEL(ret_zero):
+ movs r0, #0
+ pop {r4, r5, r6, r7, pc}
+
+
+LOCAL_LABEL(a_zero_nan_inf):
+ lsrs r3, r3, #1
+
+LOCAL_LABEL(zero_nan_inf):
+ // Here r2 has aAbs, r3 has bAbs
+ movs r4, #0xFF
+ lsls r4, r4, #(significandBits) // Make +inf.
+
+ cmp r2, r4
+ bhi LOCAL_LABEL(a_is_nan)
+ cmp r3, r4
+ bhi LOCAL_LABEL(b_is_nan)
+
+ cmp r2, r4
+ bne LOCAL_LABEL(a_is_rational)
+ // aAbs is INF.
+ eors r1, r0 // aRep ^ bRep.
+ movs r6, #1
+ lsls r6, r6, #(typeWidth - 1) // get sign mask.
+ cmp r1, r6 // if they only differ on sign bit, it's -INF + INF
+ beq LOCAL_LABEL(a_is_nan)
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(a_is_rational):
+ cmp r3, r4
+ bne LOCAL_LABEL(b_is_rational)
+ movs r0, r1
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(b_is_rational):
+ // either a or b or both are zero.
+ adds r4, r2, r3
+ beq LOCAL_LABEL(both_zero)
+ cmp r2, #0 // is absA 0 ?
+ beq LOCAL_LABEL(ret_b)
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(both_zero):
+ ands r0, r1 // +0 + -0 = +0
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(ret_b):
+ movs r0, r1
+
+LOCAL_LABEL(ret):
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(b_is_nan):
+ movs r0, r1
+LOCAL_LABEL(a_is_nan):
+ movs r1, #1
+ lsls r1, r1, #(significandBits -1) // r1 is quiet bit.
+ orrs r0, r1
+ pop {r4, r5, r6, r7, pc}
+
+LOCAL_LABEL(ret_inf):
+ movs r4, #0xFF
+ lsls r4, r4, #(significandBits)
+ orrs r0, r4
+ lsrs r0, r0, #(significandBits)
+ lsls r0, r0, #(significandBits)
+ pop {r4, r5, r6, r7, pc}
+
+
+END_COMPILERRT_FUNCTION(__addsf3)
+
+NO_EXEC_STACK_DIRECTIVE